nums
listlengths 4
4
| target
int64 10
100
| solution
listlengths 3
3
| optimal_path
stringlengths 282
529
| start_size
int64 4
4
| search_path
stringlengths 505
16.8k
| rating
float64 0
0.99
| search_type
stringclasses 5
values | heuristic
stringclasses 2
values |
|---|---|---|---|---|---|---|---|---|
[
71,
95,
61,
97
] | 51 |
[
"97-95=2",
"61*2=122",
"122-71=51"
] |
Current State: 51:[71, 95, 61, 97], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [71, 61, 2]
Generated Node #2: [71, 61, 2] from Operation: 97-95=2
Current State: 51:[71, 61, 2], Operations: ['97-95=2']
Exploring Operation: 61*2=122, Resulting Numbers: [71, 122]
Generated Node #3: [71, 122] from Operation: 61*2=122
Current State: 51:[71, 122], Operations: ['97-95=2', '61*2=122']
Exploring Operation: 122-71=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
Current State: 51:[71, 95, 61, 97], Operations: []
Exploring Operation: 97-71=26, Resulting Numbers: [95, 61, 26]
Generated Node #0,0: 51:[95, 61, 26] Operation: 97-71=26
Exploring Operation: 97-95=2, Resulting Numbers: [71, 61, 2]
Generated Node #0,1: 51:[71, 61, 2] Operation: 97-95=2
Exploring Operation: 95-71=24, Resulting Numbers: [61, 97, 24]
Generated Node #0,2: 51:[61, 97, 24] Operation: 95-71=24
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[71, 61, 2], Operations: ['97-95=2']
Exploring Operation: 61-2=59, Resulting Numbers: [71, 59]
Generated Node #0,1,0: 51:[71, 59] Operation: 61-2=59
Exploring Operation: 71-61=10, Resulting Numbers: [2, 10]
Generated Node #0,1,1: 51:[2, 10] Operation: 71-61=10
Exploring Operation: 71-2=69, Resulting Numbers: [61, 69]
Generated Node #0,1,2: 51:[61, 69] Operation: 71-2=69
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 51:[2, 10], Operations: ['97-95=2', '71-61=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,51 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 51:[71, 59], Operations: ['97-95=2', '61-2=59']
Exploring Operation: 71*59=4189, Resulting Numbers: [4189]
4189,51 unequal: No Solution
Exploring Operation: 71+59=130, Resulting Numbers: [130]
130,51 unequal: No Solution
Exploring Operation: 71-59=12, Resulting Numbers: [12]
12,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 51:[61, 69], Operations: ['97-95=2', '71-2=69']
Exploring Operation: 69-61=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 61*69=4209, Resulting Numbers: [4209]
4209,51 unequal: No Solution
Exploring Operation: 61+69=130, Resulting Numbers: [130]
130,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[95, 61, 26], Operations: ['97-71=26']
Exploring Operation: 95-61=34, Resulting Numbers: [26, 34]
Generated Node #0,0,0: 51:[26, 34] Operation: 95-61=34
Exploring Operation: 95-26=69, Resulting Numbers: [61, 69]
Generated Node #0,0,1: 51:[61, 69] Operation: 95-26=69
Exploring Operation: 61-26=35, Resulting Numbers: [95, 35]
Generated Node #0,0,2: 51:[95, 35] Operation: 61-26=35
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 51:[26, 34], Operations: ['97-71=26', '95-61=34']
Exploring Operation: 26*34=884, Resulting Numbers: [884]
884,51 unequal: No Solution
Exploring Operation: 26+34=60, Resulting Numbers: [60]
60,51 unequal: No Solution
Exploring Operation: 34-26=8, Resulting Numbers: [8]
8,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 51:[61, 69], Operations: ['97-71=26', '95-26=69']
Exploring Operation: 61+69=130, Resulting Numbers: [130]
130,51 unequal: No Solution
Exploring Operation: 61*69=4209, Resulting Numbers: [4209]
4209,51 unequal: No Solution
Exploring Operation: 69-61=8, Resulting Numbers: [8]
8,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 51:[95, 35], Operations: ['97-71=26', '61-26=35']
Exploring Operation: 95*35=3325, Resulting Numbers: [3325]
3325,51 unequal: No Solution
Exploring Operation: 95-35=60, Resulting Numbers: [60]
60,51 unequal: No Solution
Exploring Operation: 95+35=130, Resulting Numbers: [130]
130,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[61, 97, 24], Operations: ['95-71=24']
Exploring Operation: 97-24=73, Resulting Numbers: [61, 73]
Generated Node #0,2,0: 51:[61, 73] Operation: 97-24=73
Exploring Operation: 97-61=36, Resulting Numbers: [24, 36]
Generated Node #0,2,1: 51:[24, 36] Operation: 97-61=36
Exploring Operation: 61-24=37, Resulting Numbers: [97, 37]
Generated Node #0,2,2: 51:[97, 37] Operation: 61-24=37
Moving to Node #0,2,1
Current State: 51:[24, 36], Operations: ['95-71=24', '97-61=36']
Exploring Operation: 24+36=60, Resulting Numbers: [60]
60,51 unequal: No Solution
Exploring Operation: 24*36=864, Resulting Numbers: [864]
864,51 unequal: No Solution
Exploring Operation: 36-24=12, Resulting Numbers: [12]
12,51 unequal: No Solution
Moving to Node #0,2,0
Current State: 51:[61, 73], Operations: ['95-71=24', '97-24=73']
Exploring Operation: 73-61=12, Resulting Numbers: [12]
12,51 unequal: No Solution
Exploring Operation: 61+73=134, Resulting Numbers: [134]
134,51 unequal: No Solution
Exploring Operation: 61*73=4453, Resulting Numbers: [4453]
4453,51 unequal: No Solution
Moving to Node #0,2,2
Current State: 51:[97, 37], Operations: ['95-71=24', '61-24=37']
Exploring Operation: 97-37=60, Resulting Numbers: [60]
60,51 unequal: No Solution
Exploring Operation: 97+37=134, Resulting Numbers: [134]
134,51 unequal: No Solution
Exploring Operation: 97*37=3589, Resulting Numbers: [3589]
3589,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
23,
71,
2,
5
] | 88 |
[
"23*5=115",
"115-71=44",
"2*44=88"
] |
Current State: 88:[23, 71, 2, 5], Operations: []
Exploring Operation: 23*5=115, Resulting Numbers: [71, 2, 115]
Generated Node #2: [71, 2, 115] from Operation: 23*5=115
Current State: 88:[71, 2, 115], Operations: ['23*5=115']
Exploring Operation: 115-71=44, Resulting Numbers: [2, 44]
Generated Node #3: [2, 44] from Operation: 115-71=44
Current State: 88:[2, 44], Operations: ['23*5=115', '115-71=44']
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
Current State: 88:[23, 71, 2, 5], Operations: []
Exploring Operation: 71+2=73, Resulting Numbers: [23, 5, 73]
Generated Node #0,0: 88:[23, 5, 73] Operation: 71+2=73
Exploring Operation: 71+5=76, Resulting Numbers: [23, 2, 76]
Generated Node #0,1: 88:[23, 2, 76] Operation: 71+5=76
Exploring Operation: 23+71=94, Resulting Numbers: [2, 5, 94]
Generated Node #0,2: 88:[2, 5, 94] Operation: 23+71=94
Exploring Operation: 71-23=48, Resulting Numbers: [2, 5, 48]
Generated Node #0,3: 88:[2, 5, 48] Operation: 71-23=48
Start Sub Search at level 1: Moving to Node #0,3
Current State: 88:[2, 5, 48], Operations: ['71-23=48']
Exploring Operation: 48/2=24, Resulting Numbers: [5, 24]
Generated Node #0,3,0: 88:[5, 24] Operation: 48/2=24
Exploring Operation: 48-5=43, Resulting Numbers: [2, 43]
Generated Node #0,3,1: 88:[2, 43] Operation: 48-5=43
Exploring Operation: 2+5=7, Resulting Numbers: [48, 7]
Generated Node #0,3,2: 88:[48, 7] Operation: 2+5=7
Exploring Operation: 48-2=46, Resulting Numbers: [5, 46]
Generated Node #0,3,3: 88:[5, 46] Operation: 48-2=46
Moving to Node #0,3,1
Current State: 88:[2, 43], Operations: ['71-23=48', '48-5=43']
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,88 unequal: No Solution
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,88 unequal: No Solution
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,88 unequal: No Solution
Moving to Node #0,3,3
Current State: 88:[5, 46], Operations: ['71-23=48', '48-2=46']
Exploring Operation: 5*46=230, Resulting Numbers: [230]
230,88 unequal: No Solution
Exploring Operation: 5+46=51, Resulting Numbers: [51]
51,88 unequal: No Solution
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,88 unequal: No Solution
Moving to Node #0,3,0
Current State: 88:[5, 24], Operations: ['71-23=48', '48/2=24']
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,88 unequal: No Solution
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,88 unequal: No Solution
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,88 unequal: No Solution
Moving to Node #0,3,2
Current State: 88:[48, 7], Operations: ['71-23=48', '2+5=7']
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,88 unequal: No Solution
Exploring Operation: 48+7=55, Resulting Numbers: [55]
55,88 unequal: No Solution
Exploring Operation: 48*7=336, Resulting Numbers: [336]
336,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 88:[2, 5, 94], Operations: ['23+71=94']
Exploring Operation: 94-2=92, Resulting Numbers: [5, 92]
Generated Node #0,2,0: 88:[5, 92] Operation: 94-2=92
Exploring Operation: 2+5=7, Resulting Numbers: [94, 7]
Generated Node #0,2,1: 88:[94, 7] Operation: 2+5=7
Exploring Operation: 94/2=47, Resulting Numbers: [5, 47]
Generated Node #0,2,2: 88:[5, 47] Operation: 94/2=47
Exploring Operation: 94-5=89, Resulting Numbers: [2, 89]
Generated Node #0,2,3: 88:[2, 89] Operation: 94-5=89
Moving to Node #0,2,3
Current State: 88:[2, 89], Operations: ['23+71=94', '94-5=89']
Exploring Operation: 2+89=91, Resulting Numbers: [91]
91,88 unequal: No Solution
Exploring Operation: 2*89=178, Resulting Numbers: [178]
178,88 unequal: No Solution
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,88 unequal: No Solution
Moving to Node #0,2,2
Current State: 88:[5, 47], Operations: ['23+71=94', '94/2=47']
Exploring Operation: 5*47=235, Resulting Numbers: [235]
235,88 unequal: No Solution
Exploring Operation: 5+47=52, Resulting Numbers: [52]
52,88 unequal: No Solution
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,88 unequal: No Solution
Moving to Node #0,2,0
Current State: 88:[5, 92], Operations: ['23+71=94', '94-2=92']
Exploring Operation: 92-5=87, Resulting Numbers: [87]
87,88 unequal: No Solution
Exploring Operation: 5+92=97, Resulting Numbers: [97]
97,88 unequal: No Solution
Exploring Operation: 5*92=460, Resulting Numbers: [460]
460,88 unequal: No Solution
Moving to Node #0,2,1
Current State: 88:[94, 7], Operations: ['23+71=94', '2+5=7']
Exploring Operation: 94*7=658, Resulting Numbers: [658]
658,88 unequal: No Solution
Exploring Operation: 94-7=87, Resulting Numbers: [87]
87,88 unequal: No Solution
Exploring Operation: 94+7=101, Resulting Numbers: [101]
101,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 88:[23, 2, 76], Operations: ['71+5=76']
Exploring Operation: 76-23=53, Resulting Numbers: [2, 53]
Generated Node #0,1,0: 88:[2, 53] Operation: 76-23=53
Exploring Operation: 2+76=78, Resulting Numbers: [23, 78]
Generated Node #0,1,1: 88:[23, 78] Operation: 2+76=78
Exploring Operation: 23+76=99, Resulting Numbers: [2, 99]
Generated Node #0,1,2: 88:[2, 99] Operation: 23+76=99
Exploring Operation: 76/2=38, Resulting Numbers: [23, 38]
Generated Node #0,1,3: 88:[23, 38] Operation: 76/2=38
Moving to Node #0,1,3
Current State: 88:[23, 38], Operations: ['71+5=76', '76/2=38']
Exploring Operation: 23*38=874, Resulting Numbers: [874]
874,88 unequal: No Solution
Exploring Operation: 23+38=61, Resulting Numbers: [61]
61,88 unequal: No Solution
Exploring Operation: 38-23=15, Resulting Numbers: [15]
15,88 unequal: No Solution
Moving to Node #0,1,0
Current State: 88:[2, 53], Operations: ['71+5=76', '76-23=53']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,88 unequal: No Solution
Exploring Operation: 2*53=106, Resulting Numbers: [106]
106,88 unequal: No Solution
Exploring Operation: 2+53=55, Resulting Numbers: [55]
55,88 unequal: No Solution
Moving to Node #0,1,2
Current State: 88:[2, 99], Operations: ['71+5=76', '23+76=99']
Exploring Operation: 2+99=101, Resulting Numbers: [101]
101,88 unequal: No Solution
Exploring Operation: 99-2=97, Resulting Numbers: [97]
97,88 unequal: No Solution
Exploring Operation: 2*99=198, Resulting Numbers: [198]
198,88 unequal: No Solution
Moving to Node #0,1,1
Current State: 88:[23, 78], Operations: ['71+5=76', '2+76=78']
Exploring Operation: 23*78=1794, Resulting Numbers: [1794]
1794,88 unequal: No Solution
Exploring Operation: 78-23=55, Resulting Numbers: [55]
55,88 unequal: No Solution
Exploring Operation: 23+78=101, Resulting Numbers: [101]
101,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[23, 5, 73], Operations: ['71+2=73']
Exploring Operation: 5+73=78, Resulting Numbers: [23, 78]
Generated Node #0,0,0: 88:[23, 78] Operation: 5+73=78
Exploring Operation: 23-5=18, Resulting Numbers: [73, 18]
Generated Node #0,0,1: 88:[73, 18] Operation: 23-5=18
Exploring Operation: 23+73=96, Resulting Numbers: [5, 96]
Generated Node #0,0,2: 88:[5, 96] Operation: 23+73=96
Exploring Operation: 73-23=50, Resulting Numbers: [5, 50]
Generated Node #0,0,3: 88:[5, 50] Operation: 73-23=50
Moving to Node #0,0,3
Current State: 88:[5, 50], Operations: ['71+2=73', '73-23=50']
Exploring Operation: 50-5=45, Resulting Numbers: [45]
45,88 unequal: No Solution
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,88 unequal: No Solution
Exploring Operation: 5*50=250, Resulting Numbers: [250]
250,88 unequal: No Solution
Exploring Operation: 5+50=55, Resulting Numbers: [55]
55,88 unequal: No Solution
Moving to Node #0,0,2
Current State: 88:[5, 96], Operations: ['71+2=73', '23+73=96']
Exploring Operation: 96-5=91, Resulting Numbers: [91]
91,88 unequal: No Solution
Exploring Operation: 5+96=101, Resulting Numbers: [101]
101,88 unequal: No Solution
Exploring Operation: 5*96=480, Resulting Numbers: [480]
480,88 unequal: No Solution
Moving to Node #0,0,0
Current State: 88:[23, 78], Operations: ['71+2=73', '5+73=78']
Exploring Operation: 23+78=101, Resulting Numbers: [101]
101,88 unequal: No Solution
Exploring Operation: 78-23=55, Resulting Numbers: [55]
55,88 unequal: No Solution
Exploring Operation: 23*78=1794, Resulting Numbers: [1794]
1794,88 unequal: No Solution
Moving to Node #0,0,1
Current State: 88:[73, 18], Operations: ['71+2=73', '23-5=18']
Exploring Operation: 73-18=55, Resulting Numbers: [55]
55,88 unequal: No Solution
Exploring Operation: 73+18=91, Resulting Numbers: [91]
91,88 unequal: No Solution
Exploring Operation: 73*18=1314, Resulting Numbers: [1314]
1314,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
50,
26,
21,
27
] | 24 |
[
"50-26=24",
"21+27=48",
"48-24=24"
] |
Current State: 24:[50, 26, 21, 27], Operations: []
Exploring Operation: 50-26=24, Resulting Numbers: [21, 27, 24]
Generated Node #2: [21, 27, 24] from Operation: 50-26=24
Current State: 24:[21, 27, 24], Operations: ['50-26=24']
Exploring Operation: 21+27=48, Resulting Numbers: [24, 48]
Generated Node #3: [24, 48] from Operation: 21+27=48
Current State: 24:[24, 48], Operations: ['50-26=24', '21+27=48']
Exploring Operation: 48-24=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
Current State: 24:[50, 26, 21, 27], Operations: []
Exploring Operation: 50-27=23, Resulting Numbers: [26, 21, 23]
Generated Node #0,0: 24:[26, 21, 23] Operation: 50-27=23
Exploring Operation: 50-26=24, Resulting Numbers: [21, 27, 24]
Generated Node #0,1: 24:[21, 27, 24] Operation: 50-26=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[26, 21, 23], Operations: ['50-27=23']
Exploring Operation: 26-21=5, Resulting Numbers: [23, 5]
Generated Node #0,0,0: 24:[23, 5] Operation: 26-21=5
Exploring Operation: 23-21=2, Resulting Numbers: [26, 2]
Generated Node #0,0,1: 24:[26, 2] Operation: 23-21=2
Moving to Node #0,0,0
Current State: 24:[23, 5], Operations: ['50-27=23', '26-21=5']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,24 unequal: No Solution
Exploring Operation: 23+5=28, Resulting Numbers: [28]
28,24 unequal: No Solution
Moving to Node #0,0,1
Current State: 24:[26, 2], Operations: ['50-27=23', '23-21=2']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[50, 26, 21, 27], Operations: []
Exploring Operation: 50-27=23, Resulting Numbers: [26, 21, 23]
Generated Node #0,0: 24:[26, 21, 23] Operation: 50-27=23
Moving to Node #0,0
Current State: 24:[26, 21, 23], Operations: ['50-27=23']
Exploring Operation: 23-21=2, Resulting Numbers: [26, 2]
Generated Node #0,0,1: 24:[26, 2] Operation: 23-21=2
Moving to Node #0,0,1
Current State: 24:[26, 2], Operations: ['50-27=23', '23-21=2']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 |
hs_2
|
mult_heuristic
|
[
13,
39,
68,
52
] | 68 |
[
"13+39=52",
"68+52=120",
"120-52=68"
] |
Current State: 68:[13, 39, 68, 52], Operations: []
Exploring Operation: 13+39=52, Resulting Numbers: [68, 52, 52]
Generated Node #2: [68, 52, 52] from Operation: 13+39=52
Current State: 68:[68, 52, 52], Operations: ['13+39=52']
Exploring Operation: 68+52=120, Resulting Numbers: [120]
120,68 equal: Goal Reached
Exploring Operation: 120-52=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
Current State: 68:[13, 39, 68, 52], Operations: []
Exploring Operation: 52/13=4, Resulting Numbers: [39, 68, 4]
Generated Node #0,0: 68:[39, 68, 4] Operation: 52/13=4
Moving to Node #0,0
Current State: 68:[39, 68, 4], Operations: ['52/13=4']
Exploring Operation: 39-4=35, Resulting Numbers: [68, 35]
Generated Node #0,0,0: 68:[68, 35] Operation: 39-4=35
Moving to Node #0,0,0
Current State: 68:[68, 35], Operations: ['52/13=4', '39-4=35']
Exploring Operation: 68-35=33, Resulting Numbers: [33]
33,68 unequal: No Solution
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
66,
87,
93,
90
] | 26 |
[
"66+90=156",
"93-87=6",
"156/6=26"
] |
Current State: 26:[66, 87, 93, 90], Operations: []
Exploring Operation: 66+90=156, Resulting Numbers: [87, 93, 156]
Generated Node #2: [87, 93, 156] from Operation: 66+90=156
Current State: 26:[87, 93, 156], Operations: ['66+90=156']
Exploring Operation: 93-87=6, Resulting Numbers: [156, 6]
Generated Node #3: [156, 6] from Operation: 93-87=6
Current State: 26:[156, 6], Operations: ['66+90=156', '93-87=6']
Exploring Operation: 156/6=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
Current State: 26:[66, 87, 93, 90], Operations: []
Exploring Operation: 93-90=3, Resulting Numbers: [66, 87, 3]
Generated Node #0,0: 26:[66, 87, 3] Operation: 93-90=3
Exploring Operation: 90-66=24, Resulting Numbers: [87, 93, 24]
Generated Node #0,1: 26:[87, 93, 24] Operation: 90-66=24
Exploring Operation: 93-87=6, Resulting Numbers: [66, 90, 6]
Generated Node #0,2: 26:[66, 90, 6] Operation: 93-87=6
Exploring Operation: 93-66=27, Resulting Numbers: [87, 90, 27]
Generated Node #0,3: 26:[87, 90, 27] Operation: 93-66=27
Exploring Operation: 90-87=3, Resulting Numbers: [66, 93, 3]
Generated Node #0,4: 26:[66, 93, 3] Operation: 90-87=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[66, 87, 3], Operations: ['93-90=3']
Exploring Operation: 87-66=21, Resulting Numbers: [3, 21]
Generated Node #0,0,0: 26:[3, 21] Operation: 87-66=21
Exploring Operation: 66/3=22, Resulting Numbers: [87, 22]
Generated Node #0,0,1: 26:[87, 22] Operation: 66/3=22
Exploring Operation: 66-3=63, Resulting Numbers: [87, 63]
Generated Node #0,0,2: 26:[87, 63] Operation: 66-3=63
Exploring Operation: 87-3=84, Resulting Numbers: [66, 84]
Generated Node #0,0,3: 26:[66, 84] Operation: 87-3=84
Exploring Operation: 87/3=29, Resulting Numbers: [66, 29]
Generated Node #0,0,4: 26:[66, 29] Operation: 87/3=29
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 26:[3, 21], Operations: ['93-90=3', '87-66=21']
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,26 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,26 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,26 unequal: No Solution
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 26:[66, 29], Operations: ['93-90=3', '87/3=29']
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,26 unequal: No Solution
Exploring Operation: 66*29=1914, Resulting Numbers: [1914]
1914,26 unequal: No Solution
Exploring Operation: 66+29=95, Resulting Numbers: [95]
95,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 26:[87, 22], Operations: ['93-90=3', '66/3=22']
Exploring Operation: 87+22=109, Resulting Numbers: [109]
109,26 unequal: No Solution
Exploring Operation: 87-22=65, Resulting Numbers: [65]
65,26 unequal: No Solution
Exploring Operation: 87*22=1914, Resulting Numbers: [1914]
1914,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 26:[87, 63], Operations: ['93-90=3', '66-3=63']
Exploring Operation: 87*63=5481, Resulting Numbers: [5481]
5481,26 unequal: No Solution
Exploring Operation: 87+63=150, Resulting Numbers: [150]
150,26 unequal: No Solution
Exploring Operation: 87-63=24, Resulting Numbers: [24]
24,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 26:[66, 84], Operations: ['93-90=3', '87-3=84']
Exploring Operation: 66+84=150, Resulting Numbers: [150]
150,26 unequal: No Solution
Exploring Operation: 84-66=18, Resulting Numbers: [18]
18,26 unequal: No Solution
Exploring Operation: 66*84=5544, Resulting Numbers: [5544]
5544,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 26:[66, 90, 6], Operations: ['93-87=6']
Exploring Operation: 90-66=24, Resulting Numbers: [6, 24]
Generated Node #0,2,0: 26:[6, 24] Operation: 90-66=24
Exploring Operation: 90/6=15, Resulting Numbers: [66, 15]
Generated Node #0,2,1: 26:[66, 15] Operation: 90/6=15
Exploring Operation: 66/6=11, Resulting Numbers: [90, 11]
Generated Node #0,2,2: 26:[90, 11] Operation: 66/6=11
Exploring Operation: 90-6=84, Resulting Numbers: [66, 84]
Generated Node #0,2,3: 26:[66, 84] Operation: 90-6=84
Exploring Operation: 66-6=60, Resulting Numbers: [90, 60]
Generated Node #0,2,4: 26:[90, 60] Operation: 66-6=60
Moving to Node #0,2,0
Current State: 26:[6, 24], Operations: ['93-87=6', '90-66=24']
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,26 unequal: No Solution
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,26 unequal: No Solution
Exploring Operation: 6+24=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 6*24=144, Resulting Numbers: [144]
144,26 unequal: No Solution
Moving to Node #0,2,1
Current State: 26:[66, 15], Operations: ['93-87=6', '90/6=15']
Exploring Operation: 66*15=990, Resulting Numbers: [990]
990,26 unequal: No Solution
Exploring Operation: 66-15=51, Resulting Numbers: [51]
51,26 unequal: No Solution
Exploring Operation: 66+15=81, Resulting Numbers: [81]
81,26 unequal: No Solution
Moving to Node #0,2,2
Current State: 26:[90, 11], Operations: ['93-87=6', '66/6=11']
Exploring Operation: 90+11=101, Resulting Numbers: [101]
101,26 unequal: No Solution
Exploring Operation: 90*11=990, Resulting Numbers: [990]
990,26 unequal: No Solution
Exploring Operation: 90-11=79, Resulting Numbers: [79]
79,26 unequal: No Solution
Moving to Node #0,2,3
Current State: 26:[66, 84], Operations: ['93-87=6', '90-6=84']
Exploring Operation: 66+84=150, Resulting Numbers: [150]
150,26 unequal: No Solution
Exploring Operation: 84-66=18, Resulting Numbers: [18]
18,26 unequal: No Solution
Exploring Operation: 66*84=5544, Resulting Numbers: [5544]
5544,26 unequal: No Solution
Moving to Node #0,2,4
Current State: 26:[90, 60], Operations: ['93-87=6', '66-6=60']
Exploring Operation: 90+60=150, Resulting Numbers: [150]
150,26 unequal: No Solution
Exploring Operation: 90*60=5400, Resulting Numbers: [5400]
5400,26 unequal: No Solution
Exploring Operation: 90-60=30, Resulting Numbers: [30]
30,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 26:[66, 93, 3], Operations: ['90-87=3']
Exploring Operation: 93/3=31, Resulting Numbers: [66, 31]
Generated Node #0,4,0: 26:[66, 31] Operation: 93/3=31
Exploring Operation: 66/3=22, Resulting Numbers: [93, 22]
Generated Node #0,4,1: 26:[93, 22] Operation: 66/3=22
Exploring Operation: 93-66=27, Resulting Numbers: [3, 27]
Generated Node #0,4,2: 26:[3, 27] Operation: 93-66=27
Exploring Operation: 66-3=63, Resulting Numbers: [93, 63]
Generated Node #0,4,3: 26:[93, 63] Operation: 66-3=63
Exploring Operation: 93-3=90, Resulting Numbers: [66, 90]
Generated Node #0,4,4: 26:[66, 90] Operation: 93-3=90
Moving to Node #0,4,2
Current State: 26:[3, 27], Operations: ['90-87=3', '93-66=27']
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,26 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,26 unequal: No Solution
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,26 unequal: No Solution
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Moving to Node #0,4,0
Current State: 26:[66, 31], Operations: ['90-87=3', '93/3=31']
Exploring Operation: 66-31=35, Resulting Numbers: [35]
35,26 unequal: No Solution
Exploring Operation: 66+31=97, Resulting Numbers: [97]
97,26 unequal: No Solution
Exploring Operation: 66*31=2046, Resulting Numbers: [2046]
2046,26 unequal: No Solution
Moving to Node #0,4,1
Current State: 26:[93, 22], Operations: ['90-87=3', '66/3=22']
Exploring Operation: 93*22=2046, Resulting Numbers: [2046]
2046,26 unequal: No Solution
Exploring Operation: 93+22=115, Resulting Numbers: [115]
115,26 unequal: No Solution
Exploring Operation: 93-22=71, Resulting Numbers: [71]
71,26 unequal: No Solution
Moving to Node #0,4,3
Current State: 26:[93, 63], Operations: ['90-87=3', '66-3=63']
Exploring Operation: 93+63=156, Resulting Numbers: [156]
156,26 unequal: No Solution
Exploring Operation: 93*63=5859, Resulting Numbers: [5859]
5859,26 unequal: No Solution
Exploring Operation: 93-63=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Moving to Node #0,4,4
Current State: 26:[66, 90], Operations: ['90-87=3', '93-3=90']
Exploring Operation: 90-66=24, Resulting Numbers: [24]
24,26 unequal: No Solution
Exploring Operation: 66+90=156, Resulting Numbers: [156]
156,26 unequal: No Solution
Exploring Operation: 66*90=5940, Resulting Numbers: [5940]
5940,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 26:[87, 90, 27], Operations: ['93-66=27']
Exploring Operation: 90-87=3, Resulting Numbers: [27, 3]
Generated Node #0,3,0: 26:[27, 3] Operation: 90-87=3
Exploring Operation: 90-27=63, Resulting Numbers: [87, 63]
Generated Node #0,3,1: 26:[87, 63] Operation: 90-27=63
Exploring Operation: 87+90=177, Resulting Numbers: [27, 177]
Generated Node #0,3,2: 26:[27, 177] Operation: 87+90=177
Exploring Operation: 87+27=114, Resulting Numbers: [90, 114]
Generated Node #0,3,3: 26:[90, 114] Operation: 87+27=114
Exploring Operation: 87-27=60, Resulting Numbers: [90, 60]
Generated Node #0,3,4: 26:[90, 60] Operation: 87-27=60
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 26:[27, 3], Operations: ['93-66=27', '90-87=3']
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,26 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,26 unequal: No Solution
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,26 unequal: No Solution
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 26:[87, 63], Operations: ['93-66=27', '90-27=63']
Exploring Operation: 87*63=5481, Resulting Numbers: [5481]
5481,26 unequal: No Solution
Exploring Operation: 87+63=150, Resulting Numbers: [150]
150,26 unequal: No Solution
Exploring Operation: 87-63=24, Resulting Numbers: [24]
24,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 26:[90, 60], Operations: ['93-66=27', '87-27=60']
Exploring Operation: 90+60=150, Resulting Numbers: [150]
150,26 unequal: No Solution
Exploring Operation: 90*60=5400, Resulting Numbers: [5400]
5400,26 unequal: No Solution
Exploring Operation: 90-60=30, Resulting Numbers: [30]
30,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 26:[27, 177], Operations: ['93-66=27', '87+90=177']
Exploring Operation: 27*177=4779, Resulting Numbers: [4779]
4779,26 unequal: No Solution
Exploring Operation: 27+177=204, Resulting Numbers: [204]
204,26 unequal: No Solution
Exploring Operation: 177-27=150, Resulting Numbers: [150]
150,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 26:[90, 114], Operations: ['93-66=27', '87+27=114']
Exploring Operation: 90*114=10260, Resulting Numbers: [10260]
10260,26 unequal: No Solution
Exploring Operation: 90+114=204, Resulting Numbers: [204]
204,26 unequal: No Solution
Exploring Operation: 114-90=24, Resulting Numbers: [24]
24,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[87, 93, 24], Operations: ['90-66=24']
Exploring Operation: 87+24=111, Resulting Numbers: [93, 111]
Generated Node #0,1,0: 26:[93, 111] Operation: 87+24=111
Exploring Operation: 87-24=63, Resulting Numbers: [93, 63]
Generated Node #0,1,1: 26:[93, 63] Operation: 87-24=63
Exploring Operation: 93-24=69, Resulting Numbers: [87, 69]
Generated Node #0,1,2: 26:[87, 69] Operation: 93-24=69
Exploring Operation: 93+24=117, Resulting Numbers: [87, 117]
Generated Node #0,1,3: 26:[87, 117] Operation: 93+24=117
Exploring Operation: 93-87=6, Resulting Numbers: [24, 6]
Generated Node #0,1,4: 26:[24, 6] Operation: 93-87=6
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 26:[24, 6], Operations: ['90-66=24', '93-87=6']
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,26 unequal: No Solution
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,26 unequal: No Solution
Exploring Operation: 24*6=144, Resulting Numbers: [144]
144,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 26:[93, 63], Operations: ['90-66=24', '87-24=63']
Exploring Operation: 93+63=156, Resulting Numbers: [156]
156,26 unequal: No Solution
Exploring Operation: 93*63=5859, Resulting Numbers: [5859]
5859,26 unequal: No Solution
Exploring Operation: 93-63=30, Resulting Numbers: [30]
30,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 26:[87, 69], Operations: ['90-66=24', '93-24=69']
Exploring Operation: 87+69=156, Resulting Numbers: [156]
156,26 unequal: No Solution
Exploring Operation: 87-69=18, Resulting Numbers: [18]
18,26 unequal: No Solution
Exploring Operation: 87*69=6003, Resulting Numbers: [6003]
6003,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 26:[93, 111], Operations: ['90-66=24', '87+24=111']
Exploring Operation: 111-93=18, Resulting Numbers: [18]
18,26 unequal: No Solution
Exploring Operation: 93*111=10323, Resulting Numbers: [10323]
10323,26 unequal: No Solution
Exploring Operation: 93+111=204, Resulting Numbers: [204]
204,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 26:[87, 117], Operations: ['90-66=24', '93+24=117']
Exploring Operation: 87*117=10179, Resulting Numbers: [10179]
10179,26 unequal: No Solution
Exploring Operation: 117-87=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 87+117=204, Resulting Numbers: [204]
204,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
42,
22,
29,
1
] | 33 |
[
"42*22=924",
"29-1=28",
"924/28=33"
] |
Current State: 33:[42, 22, 29, 1], Operations: []
Exploring Operation: 42*22=924, Resulting Numbers: [29, 1, 924]
Generated Node #2: [29, 1, 924] from Operation: 42*22=924
Current State: 33:[29, 1, 924], Operations: ['42*22=924']
Exploring Operation: 29-1=28, Resulting Numbers: [924, 28]
Generated Node #3: [924, 28] from Operation: 29-1=28
Current State: 33:[924, 28], Operations: ['42*22=924', '29-1=28']
Exploring Operation: 924/28=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
Current State: 33:[42, 22, 29, 1], Operations: []
Exploring Operation: 42-29=13, Resulting Numbers: [22, 1, 13]
Generated Node #0,0: 33:[22, 1, 13] Operation: 42-29=13
Exploring Operation: 29-22=7, Resulting Numbers: [42, 1, 7]
Generated Node #0,1: 33:[42, 1, 7] Operation: 29-22=7
Exploring Operation: 42-22=20, Resulting Numbers: [29, 1, 20]
Generated Node #0,2: 33:[29, 1, 20] Operation: 42-22=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[22, 1, 13], Operations: ['42-29=13']
Exploring Operation: 22-13=9, Resulting Numbers: [1, 9]
Generated Node #0,0,0: 33:[1, 9] Operation: 22-13=9
Exploring Operation: 22+13=35, Resulting Numbers: [1, 35]
Generated Node #0,0,1: 33:[1, 35] Operation: 22+13=35
Exploring Operation: 22+1=23, Resulting Numbers: [13, 23]
Generated Node #0,0,2: 33:[13, 23] Operation: 22+1=23
Moving to Node #0,0,0
Current State: 33:[1, 9], Operations: ['42-29=13', '22-13=9']
Exploring Operation: 1*9=9, Resulting Numbers: [9]
9,33 unequal: No Solution
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,33 unequal: No Solution
Exploring Operation: 1+9=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Moving to Node #0,0,1
Current State: 33:[1, 35], Operations: ['42-29=13', '22+13=35']
Exploring Operation: 1*35=35, Resulting Numbers: [35]
35,33 unequal: No Solution
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,33 unequal: No Solution
Exploring Operation: 35/1=35, Resulting Numbers: [35]
35,33 unequal: No Solution
Moving to Node #0,0,2
Current State: 33:[13, 23], Operations: ['42-29=13', '22+1=23']
Exploring Operation: 13+23=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 13*23=299, Resulting Numbers: [299]
299,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[42, 1, 7], Operations: ['29-22=7']
Exploring Operation: 42-7=35, Resulting Numbers: [1, 35]
Generated Node #0,1,0: 33:[1, 35] Operation: 42-7=35
Exploring Operation: 42/7=6, Resulting Numbers: [1, 6]
Generated Node #0,1,1: 33:[1, 6] Operation: 42/7=6
Exploring Operation: 42-1=41, Resulting Numbers: [7, 41]
Generated Node #0,1,2: 33:[7, 41] Operation: 42-1=41
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 33:[1, 35], Operations: ['29-22=7', '42-7=35']
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,33 unequal: No Solution
Exploring Operation: 1*35=35, Resulting Numbers: [35]
35,33 unequal: No Solution
Exploring Operation: 35/1=35, Resulting Numbers: [35]
35,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 33:[1, 6], Operations: ['29-22=7', '42/7=6']
Exploring Operation: 1*6=6, Resulting Numbers: [6]
6,33 unequal: No Solution
Exploring Operation: 6/1=6, Resulting Numbers: [6]
6,33 unequal: No Solution
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 33:[7, 41], Operations: ['29-22=7', '42-1=41']
Exploring Operation: 7*41=287, Resulting Numbers: [287]
287,33 unequal: No Solution
Exploring Operation: 41-7=34, Resulting Numbers: [34]
34,33 unequal: No Solution
Exploring Operation: 7+41=48, Resulting Numbers: [48]
48,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 33:[29, 1, 20], Operations: ['42-22=20']
Exploring Operation: 29-20=9, Resulting Numbers: [1, 9]
Generated Node #0,2,0: 33:[1, 9] Operation: 29-20=9
Exploring Operation: 29+1=30, Resulting Numbers: [20, 30]
Generated Node #0,2,1: 33:[20, 30] Operation: 29+1=30
Exploring Operation: 20-1=19, Resulting Numbers: [29, 19]
Generated Node #0,2,2: 33:[29, 19] Operation: 20-1=19
Moving to Node #0,2,0
Current State: 33:[1, 9], Operations: ['42-22=20', '29-20=9']
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,33 unequal: No Solution
Exploring Operation: 1*9=9, Resulting Numbers: [9]
9,33 unequal: No Solution
Exploring Operation: 1+9=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Moving to Node #0,2,1
Current State: 33:[20, 30], Operations: ['42-22=20', '29+1=30']
Exploring Operation: 20*30=600, Resulting Numbers: [600]
600,33 unequal: No Solution
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 20+30=50, Resulting Numbers: [50]
50,33 unequal: No Solution
Moving to Node #0,2,2
Current State: 33:[29, 19], Operations: ['42-22=20', '20-1=19']
Exploring Operation: 29+19=48, Resulting Numbers: [48]
48,33 unequal: No Solution
Exploring Operation: 29*19=551, Resulting Numbers: [551]
551,33 unequal: No Solution
Exploring Operation: 29-19=10, Resulting Numbers: [10]
10,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
48,
53,
41,
2
] | 34 |
[
"53-48=5",
"41-2=39",
"39-5=34"
] |
Current State: 34:[48, 53, 41, 2], Operations: []
Exploring Operation: 53-48=5, Resulting Numbers: [41, 2, 5]
Generated Node #2: [41, 2, 5] from Operation: 53-48=5
Current State: 34:[41, 2, 5], Operations: ['53-48=5']
Exploring Operation: 41-2=39, Resulting Numbers: [5, 39]
Generated Node #3: [5, 39] from Operation: 41-2=39
Current State: 34:[5, 39], Operations: ['53-48=5', '41-2=39']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
Current State: 34:[48, 53, 41, 2], Operations: []
Exploring Operation: 53-41=12, Resulting Numbers: [48, 2, 12]
Generated Node #0,0: 34:[48, 2, 12] Operation: 53-41=12
Exploring Operation: 53-48=5, Resulting Numbers: [41, 2, 5]
Generated Node #0,1: 34:[41, 2, 5] Operation: 53-48=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 34:[41, 2, 5], Operations: ['53-48=5']
Exploring Operation: 41-2=39, Resulting Numbers: [5, 39]
Generated Node #0,1,0: 34:[5, 39] Operation: 41-2=39
Exploring Operation: 41-5=36, Resulting Numbers: [2, 36]
Generated Node #0,1,1: 34:[2, 36] Operation: 41-5=36
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 34:[2, 36], Operations: ['53-48=5', '41-5=36']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[48, 53, 41, 2], Operations: []
Exploring Operation: 53-48=5, Resulting Numbers: [41, 2, 5]
Generated Node #0,1: 34:[41, 2, 5] Operation: 53-48=5
Moving to Node #0,1
Current State: 34:[41, 2, 5], Operations: ['53-48=5']
Exploring Operation: 41-5=36, Resulting Numbers: [2, 36]
Generated Node #0,1,1: 34:[2, 36] Operation: 41-5=36
Moving to Node #0,1,1
Current State: 34:[2, 36], Operations: ['53-48=5', '41-5=36']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 |
hs_2
|
sum_heuristic
|
[
1,
4,
46,
85
] | 34 |
[
"1+4=5",
"85-46=39",
"39-5=34"
] |
Current State: 34:[1, 4, 46, 85], Operations: []
Exploring Operation: 1+4=5, Resulting Numbers: [46, 85, 5]
Generated Node #2: [46, 85, 5] from Operation: 1+4=5
Current State: 34:[46, 85, 5], Operations: ['1+4=5']
Exploring Operation: 85-46=39, Resulting Numbers: [5, 39]
Generated Node #3: [5, 39] from Operation: 85-46=39
Current State: 34:[5, 39], Operations: ['1+4=5', '85-46=39']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
Current State: 34:[1, 4, 46, 85], Operations: []
Exploring Operation: 85-4=81, Resulting Numbers: [1, 46, 81]
Generated Node #0,0: 34:[1, 46, 81] Operation: 85-4=81
Exploring Operation: 85-46=39, Resulting Numbers: [1, 4, 39]
Generated Node #0,1: 34:[1, 4, 39] Operation: 85-46=39
Exploring Operation: 4-1=3, Resulting Numbers: [46, 85, 3]
Generated Node #0,2: 34:[46, 85, 3] Operation: 4-1=3
Exploring Operation: 46-4=42, Resulting Numbers: [1, 85, 42]
Generated Node #0,3: 34:[1, 85, 42] Operation: 46-4=42
Moving to Node #0,1
Current State: 34:[1, 4, 39], Operations: ['85-46=39']
Exploring Operation: 4-1=3, Resulting Numbers: [39, 3]
Generated Node #0,1,0: 34:[39, 3] Operation: 4-1=3
Exploring Operation: 1*4=4, Resulting Numbers: [39, 4]
Generated Node #0,1,1: 34:[39, 4] Operation: 1*4=4
Exploring Operation: 39-4=35, Resulting Numbers: [1, 35]
Generated Node #0,1,2: 34:[1, 35] Operation: 39-4=35
Exploring Operation: 39-1=38, Resulting Numbers: [4, 38]
Generated Node #0,1,3: 34:[4, 38] Operation: 39-1=38
Moving to Node #0,3
Current State: 34:[1, 85, 42], Operations: ['46-4=42']
Exploring Operation: 85-1=84, Resulting Numbers: [42, 84]
Generated Node #0,3,0: 34:[42, 84] Operation: 85-1=84
Exploring Operation: 1*85=85, Resulting Numbers: [42, 85]
Generated Node #0,3,1: 34:[42, 85] Operation: 1*85=85
Exploring Operation: 42-1=41, Resulting Numbers: [85, 41]
Generated Node #0,3,2: 34:[85, 41] Operation: 42-1=41
Exploring Operation: 85-42=43, Resulting Numbers: [1, 43]
Generated Node #0,3,3: 34:[1, 43] Operation: 85-42=43
Moving to Node #0,0
Current State: 34:[1, 46, 81], Operations: ['85-4=81']
Exploring Operation: 1*46=46, Resulting Numbers: [81, 46]
Generated Node #0,0,0: 34:[81, 46] Operation: 1*46=46
Exploring Operation: 81-46=35, Resulting Numbers: [1, 35]
Generated Node #0,0,1: 34:[1, 35] Operation: 81-46=35
Exploring Operation: 81-1=80, Resulting Numbers: [46, 80]
Generated Node #0,0,2: 34:[46, 80] Operation: 81-1=80
Exploring Operation: 46-1=45, Resulting Numbers: [81, 45]
Generated Node #0,0,3: 34:[81, 45] Operation: 46-1=45
Moving to Node #0,2
Current State: 34:[46, 85, 3], Operations: ['4-1=3']
Exploring Operation: 85-46=39, Resulting Numbers: [3, 39]
Generated Node #0,2,0: 34:[3, 39] Operation: 85-46=39
Exploring Operation: 46+3=49, Resulting Numbers: [85, 49]
Generated Node #0,2,1: 34:[85, 49] Operation: 46+3=49
Exploring Operation: 85-3=82, Resulting Numbers: [46, 82]
Generated Node #0,2,2: 34:[46, 82] Operation: 85-3=82
Exploring Operation: 46-3=43, Resulting Numbers: [85, 43]
Generated Node #0,2,3: 34:[85, 43] Operation: 46-3=43
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 34:[3, 39], Operations: ['4-1=3', '85-46=39']
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,34 unequal: No Solution
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,34 unequal: No Solution
Exploring Operation: 3*39=117, Resulting Numbers: [117]
117,34 unequal: No Solution
Exploring Operation: 3+39=42, Resulting Numbers: [42]
42,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 34:[46, 82], Operations: ['4-1=3', '85-3=82']
Exploring Operation: 82-46=36, Resulting Numbers: [36]
36,34 unequal: No Solution
Exploring Operation: 46*82=3772, Resulting Numbers: [3772]
3772,34 unequal: No Solution
Exploring Operation: 46+82=128, Resulting Numbers: [128]
128,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 34:[85, 43], Operations: ['4-1=3', '46-3=43']
Exploring Operation: 85-43=42, Resulting Numbers: [42]
42,34 unequal: No Solution
Exploring Operation: 85*43=3655, Resulting Numbers: [3655]
3655,34 unequal: No Solution
Exploring Operation: 85+43=128, Resulting Numbers: [128]
128,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 34:[85, 49], Operations: ['4-1=3', '46+3=49']
Exploring Operation: 85-49=36, Resulting Numbers: [36]
36,34 unequal: No Solution
Exploring Operation: 85*49=4165, Resulting Numbers: [4165]
4165,34 unequal: No Solution
Exploring Operation: 85+49=134, Resulting Numbers: [134]
134,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 34:[1, 35], Operations: ['85-46=39', '39-4=35']
Exploring Operation: 1*35=35, Resulting Numbers: [35]
35,34 unequal: No Solution
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[1, 4, 46, 85], Operations: []
Exploring Operation: 85-46=39, Resulting Numbers: [1, 4, 39]
Generated Node #0,1: 34:[1, 4, 39] Operation: 85-46=39
Moving to Node #0,1
Current State: 34:[1, 4, 39], Operations: ['85-46=39']
Exploring Operation: 39-4=35, Resulting Numbers: [1, 35]
Generated Node #0,1,2: 34:[1, 35] Operation: 39-4=35
Moving to Node #0,1,2
Current State: 34:[1, 35], Operations: ['85-46=39', '39-4=35']
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 0.966146 |
hs_4
|
sum_heuristic
|
[
10,
18,
62,
14
] | 68 |
[
"18-10=8",
"62+14=76",
"76-8=68"
] |
Current State: 68:[10, 18, 62, 14], Operations: []
Exploring Operation: 18-10=8, Resulting Numbers: [62, 14, 8]
Generated Node #2: [62, 14, 8] from Operation: 18-10=8
Current State: 68:[62, 14, 8], Operations: ['18-10=8']
Exploring Operation: 62+14=76, Resulting Numbers: [8, 76]
Generated Node #3: [8, 76] from Operation: 62+14=76
Current State: 68:[8, 76], Operations: ['18-10=8', '62+14=76']
Exploring Operation: 76-8=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
Current State: 68:[10, 18, 62, 14], Operations: []
Exploring Operation: 14-10=4, Resulting Numbers: [18, 62, 4]
Generated Node #0,0: 68:[18, 62, 4] Operation: 14-10=4
Exploring Operation: 18-10=8, Resulting Numbers: [62, 14, 8]
Generated Node #0,1: 68:[62, 14, 8] Operation: 18-10=8
Exploring Operation: 10+14=24, Resulting Numbers: [18, 62, 24]
Generated Node #0,2: 68:[18, 62, 24] Operation: 10+14=24
Exploring Operation: 18-14=4, Resulting Numbers: [10, 62, 4]
Generated Node #0,3: 68:[10, 62, 4] Operation: 18-14=4
Exploring Operation: 10+62=72, Resulting Numbers: [18, 14, 72]
Generated Node #0,4: 68:[18, 14, 72] Operation: 10+62=72
Moving to Node #0,0
Current State: 68:[18, 62, 4], Operations: ['14-10=4']
Exploring Operation: 62+4=66, Resulting Numbers: [18, 66]
Generated Node #0,0,0: 68:[18, 66] Operation: 62+4=66
Exploring Operation: 18*4=72, Resulting Numbers: [62, 72]
Generated Node #0,0,1: 68:[62, 72] Operation: 18*4=72
Exploring Operation: 62-18=44, Resulting Numbers: [4, 44]
Generated Node #0,0,2: 68:[4, 44] Operation: 62-18=44
Exploring Operation: 18+4=22, Resulting Numbers: [62, 22]
Generated Node #0,0,3: 68:[62, 22] Operation: 18+4=22
Exploring Operation: 18-4=14, Resulting Numbers: [62, 14]
Generated Node #0,0,4: 68:[62, 14] Operation: 18-4=14
Moving to Node #0,4
Current State: 68:[18, 14, 72], Operations: ['10+62=72']
Exploring Operation: 72-18=54, Resulting Numbers: [14, 54]
Generated Node #0,4,0: 68:[14, 54] Operation: 72-18=54
Exploring Operation: 18+14=32, Resulting Numbers: [72, 32]
Generated Node #0,4,1: 68:[72, 32] Operation: 18+14=32
Exploring Operation: 72-14=58, Resulting Numbers: [18, 58]
Generated Node #0,4,2: 68:[18, 58] Operation: 72-14=58
Exploring Operation: 18-14=4, Resulting Numbers: [72, 4]
Generated Node #0,4,3: 68:[72, 4] Operation: 18-14=4
Exploring Operation: 72/18=4, Resulting Numbers: [14, 4]
Generated Node #0,4,4: 68:[14, 4] Operation: 72/18=4
Moving to Node #0,3
Current State: 68:[10, 62, 4], Operations: ['18-14=4']
Exploring Operation: 10+4=14, Resulting Numbers: [62, 14]
Generated Node #0,3,0: 68:[62, 14] Operation: 10+4=14
Exploring Operation: 10*4=40, Resulting Numbers: [62, 40]
Generated Node #0,3,1: 68:[62, 40] Operation: 10*4=40
Exploring Operation: 10+62=72, Resulting Numbers: [4, 72]
Generated Node #0,3,2: 68:[4, 72] Operation: 10+62=72
Exploring Operation: 62+4=66, Resulting Numbers: [10, 66]
Generated Node #0,3,3: 68:[10, 66] Operation: 62+4=66
Exploring Operation: 10-4=6, Resulting Numbers: [62, 6]
Generated Node #0,3,4: 68:[62, 6] Operation: 10-4=6
Moving to Node #0,1
Current State: 68:[62, 14, 8], Operations: ['18-10=8']
Exploring Operation: 62+14=76, Resulting Numbers: [8, 76]
Generated Node #0,1,0: 68:[8, 76] Operation: 62+14=76
Exploring Operation: 14+8=22, Resulting Numbers: [62, 22]
Generated Node #0,1,1: 68:[62, 22] Operation: 14+8=22
Exploring Operation: 14-8=6, Resulting Numbers: [62, 6]
Generated Node #0,1,2: 68:[62, 6] Operation: 14-8=6
Exploring Operation: 62-8=54, Resulting Numbers: [14, 54]
Generated Node #0,1,3: 68:[14, 54] Operation: 62-8=54
Exploring Operation: 62+8=70, Resulting Numbers: [14, 70]
Generated Node #0,1,4: 68:[14, 70] Operation: 62+8=70
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 68:[14, 70], Operations: ['18-10=8', '62+8=70']
Exploring Operation: 70/14=5, Resulting Numbers: [5]
5,68 unequal: No Solution
Exploring Operation: 14*70=980, Resulting Numbers: [980]
980,68 unequal: No Solution
Exploring Operation: 70-14=56, Resulting Numbers: [56]
56,68 unequal: No Solution
Exploring Operation: 14+70=84, Resulting Numbers: [84]
84,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 68:[62, 6], Operations: ['18-10=8', '14-8=6']
Exploring Operation: 62+6=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[10, 18, 62, 14], Operations: []
Exploring Operation: 18-10=8, Resulting Numbers: [62, 14, 8]
Generated Node #0,1: 68:[62, 14, 8] Operation: 18-10=8
Moving to Node #0,1
Current State: 68:[62, 14, 8], Operations: ['18-10=8']
Exploring Operation: 14-8=6, Resulting Numbers: [62, 6]
Generated Node #0,1,2: 68:[62, 6] Operation: 14-8=6
Moving to Node #0,1,2
Current State: 68:[62, 6], Operations: ['18-10=8', '14-8=6']
Exploring Operation: 62+6=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.970486 |
hs_5
|
sum_heuristic
|
[
55,
63,
50,
27
] | 99 |
[
"63+27=90",
"55*90=4950",
"4950/50=99"
] |
Current State: 99:[55, 63, 50, 27], Operations: []
Exploring Operation: 63+27=90, Resulting Numbers: [55, 50, 90]
Generated Node #2: [55, 50, 90] from Operation: 63+27=90
Current State: 99:[55, 50, 90], Operations: ['63+27=90']
Exploring Operation: 55*90=4950, Resulting Numbers: [50, 4950]
Generated Node #3: [50, 4950] from Operation: 55*90=4950
Current State: 99:[50, 4950], Operations: ['63+27=90', '55*90=4950']
Exploring Operation: 4950/50=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
Current State: 99:[55, 63, 50, 27], Operations: []
Exploring Operation: 63-55=8, Resulting Numbers: [50, 27, 8]
Generated Node #0,0: 99:[50, 27, 8] Operation: 63-55=8
Moving to Node #0,0
Current State: 99:[50, 27, 8], Operations: ['63-55=8']
Exploring Operation: 50-27=23, Resulting Numbers: [8, 23]
Generated Node #0,0,0: 99:[8, 23] Operation: 50-27=23
Moving to Node #0,0,0
Current State: 99:[8, 23], Operations: ['63-55=8', '50-27=23']
Exploring Operation: 8+23=31, Resulting Numbers: [31]
31,99 unequal: No Solution
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
8,
66,
8,
3
] | 18 |
[
"8+8=16",
"3*16=48",
"66-48=18"
] |
Current State: 18:[8, 66, 8, 3], Operations: []
Exploring Operation: 8+8=16, Resulting Numbers: [66, 3, 16]
Generated Node #2: [66, 3, 16] from Operation: 8+8=16
Current State: 18:[66, 3, 16], Operations: ['8+8=16']
Exploring Operation: 3*16=48, Resulting Numbers: [66, 48]
Generated Node #3: [66, 48] from Operation: 3*16=48
Current State: 18:[66, 48], Operations: ['8+8=16', '3*16=48']
Exploring Operation: 66-48=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
Current State: 18:[8, 66, 8, 3], Operations: []
Exploring Operation: 66-8=58, Resulting Numbers: [8, 3, 58]
Generated Node #0,0: 18:[8, 3, 58] Operation: 66-8=58
Exploring Operation: 66/3=22, Resulting Numbers: [8, 8, 22]
Generated Node #0,1: 18:[8, 8, 22] Operation: 66/3=22
Exploring Operation: 66-8=58, Resulting Numbers: [8, 3, 58]
Generated Node #0,2: 18:[8, 3, 58] Operation: 66-8=58
Start Sub Search at level 1: Moving to Node #0,1
Current State: 18:[8, 8, 22], Operations: ['66/3=22']
Exploring Operation: 22-8=14, Resulting Numbers: [8, 14]
Generated Node #0,1,0: 18:[8, 14] Operation: 22-8=14
Exploring Operation: 8/8=1, Resulting Numbers: [22, 1]
Generated Node #0,1,1: 18:[22, 1] Operation: 8/8=1
Exploring Operation: 22-8=14, Resulting Numbers: [8, 14]
Generated Node #0,1,2: 18:[8, 14] Operation: 22-8=14
Moving to Node #0,1,0
Current State: 18:[8, 14], Operations: ['66/3=22', '22-8=14']
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,18 unequal: No Solution
Exploring Operation: 8*14=112, Resulting Numbers: [112]
112,18 unequal: No Solution
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,18 unequal: No Solution
Moving to Node #0,1,1
Current State: 18:[22, 1], Operations: ['66/3=22', '8/8=1']
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,18 unequal: No Solution
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,18 unequal: No Solution
Exploring Operation: 22/1=22, Resulting Numbers: [22]
22,18 unequal: No Solution
Moving to Node #0,1,2
Current State: 18:[8, 14], Operations: ['66/3=22', '22-8=14']
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,18 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,18 unequal: No Solution
Exploring Operation: 8*14=112, Resulting Numbers: [112]
112,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[8, 3, 58], Operations: ['66-8=58']
Exploring Operation: 8-3=5, Resulting Numbers: [58, 5]
Generated Node #0,0,0: 18:[58, 5] Operation: 8-3=5
Exploring Operation: 58-8=50, Resulting Numbers: [3, 50]
Generated Node #0,0,1: 18:[3, 50] Operation: 58-8=50
Exploring Operation: 58-3=55, Resulting Numbers: [8, 55]
Generated Node #0,0,2: 18:[8, 55] Operation: 58-3=55
Moving to Node #0,0,1
Current State: 18:[3, 50], Operations: ['66-8=58', '58-8=50']
Exploring Operation: 3+50=53, Resulting Numbers: [53]
53,18 unequal: No Solution
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,18 unequal: No Solution
Exploring Operation: 3*50=150, Resulting Numbers: [150]
150,18 unequal: No Solution
Moving to Node #0,0,2
Current State: 18:[8, 55], Operations: ['66-8=58', '58-3=55']
Exploring Operation: 8*55=440, Resulting Numbers: [440]
440,18 unequal: No Solution
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,18 unequal: No Solution
Exploring Operation: 8+55=63, Resulting Numbers: [63]
63,18 unequal: No Solution
Moving to Node #0,0,0
Current State: 18:[58, 5], Operations: ['66-8=58', '8-3=5']
Exploring Operation: 58+5=63, Resulting Numbers: [63]
63,18 unequal: No Solution
Exploring Operation: 58*5=290, Resulting Numbers: [290]
290,18 unequal: No Solution
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 18:[8, 3, 58], Operations: ['66-8=58']
Exploring Operation: 58-8=50, Resulting Numbers: [3, 50]
Generated Node #0,2,0: 18:[3, 50] Operation: 58-8=50
Exploring Operation: 58-3=55, Resulting Numbers: [8, 55]
Generated Node #0,2,1: 18:[8, 55] Operation: 58-3=55
Exploring Operation: 8-3=5, Resulting Numbers: [58, 5]
Generated Node #0,2,2: 18:[58, 5] Operation: 8-3=5
Moving to Node #0,2,0
Current State: 18:[3, 50], Operations: ['66-8=58', '58-8=50']
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,18 unequal: No Solution
Exploring Operation: 3+50=53, Resulting Numbers: [53]
53,18 unequal: No Solution
Exploring Operation: 3*50=150, Resulting Numbers: [150]
150,18 unequal: No Solution
Moving to Node #0,2,1
Current State: 18:[8, 55], Operations: ['66-8=58', '58-3=55']
Exploring Operation: 8*55=440, Resulting Numbers: [440]
440,18 unequal: No Solution
Exploring Operation: 8+55=63, Resulting Numbers: [63]
63,18 unequal: No Solution
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,18 unequal: No Solution
Moving to Node #0,2,2
Current State: 18:[58, 5], Operations: ['66-8=58', '8-3=5']
Exploring Operation: 58*5=290, Resulting Numbers: [290]
290,18 unequal: No Solution
Exploring Operation: 58+5=63, Resulting Numbers: [63]
63,18 unequal: No Solution
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
9,
40,
10,
46
] | 84 |
[
"9*10=90",
"46-40=6",
"90-6=84"
] |
Current State: 84:[9, 40, 10, 46], Operations: []
Exploring Operation: 9*10=90, Resulting Numbers: [40, 46, 90]
Generated Node #2: [40, 46, 90] from Operation: 9*10=90
Current State: 84:[40, 46, 90], Operations: ['9*10=90']
Exploring Operation: 46-40=6, Resulting Numbers: [90, 6]
Generated Node #3: [90, 6] from Operation: 46-40=6
Current State: 84:[90, 6], Operations: ['9*10=90', '46-40=6']
Exploring Operation: 90-6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
Current State: 84:[9, 40, 10, 46], Operations: []
Exploring Operation: 46-40=6, Resulting Numbers: [9, 10, 6]
Generated Node #0,0: 84:[9, 10, 6] Operation: 46-40=6
Moving to Node #0,0
Current State: 84:[9, 10, 6], Operations: ['46-40=6']
Exploring Operation: 10-9=1, Resulting Numbers: [6, 1]
Generated Node #0,0,0: 84:[6, 1] Operation: 10-9=1
Moving to Node #0,0,0
Current State: 84:[6, 1], Operations: ['46-40=6', '10-9=1']
Exploring Operation: 6+1=7, Resulting Numbers: [7]
7,84 unequal: No Solution
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
33,
9,
4,
15
] | 90 |
[
"33-9=24",
"24/4=6",
"15*6=90"
] |
Current State: 90:[33, 9, 4, 15], Operations: []
Exploring Operation: 33-9=24, Resulting Numbers: [4, 15, 24]
Generated Node #2: [4, 15, 24] from Operation: 33-9=24
Current State: 90:[4, 15, 24], Operations: ['33-9=24']
Exploring Operation: 24/4=6, Resulting Numbers: [15, 6]
Generated Node #3: [15, 6] from Operation: 24/4=6
Current State: 90:[15, 6], Operations: ['33-9=24', '24/4=6']
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
Current State: 90:[33, 9, 4, 15], Operations: []
Exploring Operation: 33-15=18, Resulting Numbers: [9, 4, 18]
Generated Node #0,0: 90:[9, 4, 18] Operation: 33-15=18
Exploring Operation: 33-4=29, Resulting Numbers: [9, 15, 29]
Generated Node #0,1: 90:[9, 15, 29] Operation: 33-4=29
Moving to Node #0,0
Current State: 90:[9, 4, 18], Operations: ['33-15=18']
Exploring Operation: 18-9=9, Resulting Numbers: [4, 9]
Generated Node #0,0,0: 90:[4, 9] Operation: 18-9=9
Exploring Operation: 9-4=5, Resulting Numbers: [18, 5]
Generated Node #0,0,1: 90:[18, 5] Operation: 9-4=5
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 90:[18, 5], Operations: ['33-15=18', '9-4=5']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[33, 9, 4, 15], Operations: []
Exploring Operation: 33-15=18, Resulting Numbers: [9, 4, 18]
Generated Node #0,0: 90:[9, 4, 18] Operation: 33-15=18
Moving to Node #0,0
Current State: 90:[9, 4, 18], Operations: ['33-15=18']
Exploring Operation: 9-4=5, Resulting Numbers: [18, 5]
Generated Node #0,0,1: 90:[18, 5] Operation: 9-4=5
Moving to Node #0,0,1
Current State: 90:[18, 5], Operations: ['33-15=18', '9-4=5']
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 |
hs_2
|
sum_heuristic
|
[
21,
38,
28,
90
] | 39 |
[
"90-38=52",
"21*52=1092",
"1092/28=39"
] |
Current State: 39:[21, 38, 28, 90], Operations: []
Exploring Operation: 90-38=52, Resulting Numbers: [21, 28, 52]
Generated Node #2: [21, 28, 52] from Operation: 90-38=52
Current State: 39:[21, 28, 52], Operations: ['90-38=52']
Exploring Operation: 21*52=1092, Resulting Numbers: [28, 1092]
Generated Node #3: [28, 1092] from Operation: 21*52=1092
Current State: 39:[28, 1092], Operations: ['90-38=52', '21*52=1092']
Exploring Operation: 1092/28=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
Current State: 39:[21, 38, 28, 90], Operations: []
Exploring Operation: 90-21=69, Resulting Numbers: [38, 28, 69]
Generated Node #0,0: 39:[38, 28, 69] Operation: 90-21=69
Exploring Operation: 90-38=52, Resulting Numbers: [21, 28, 52]
Generated Node #0,1: 39:[21, 28, 52] Operation: 90-38=52
Exploring Operation: 90-28=62, Resulting Numbers: [21, 38, 62]
Generated Node #0,2: 39:[21, 38, 62] Operation: 90-28=62
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[21, 28, 52], Operations: ['90-38=52']
Exploring Operation: 28-21=7, Resulting Numbers: [52, 7]
Generated Node #0,1,0: 39:[52, 7] Operation: 28-21=7
Exploring Operation: 52-28=24, Resulting Numbers: [21, 24]
Generated Node #0,1,1: 39:[21, 24] Operation: 52-28=24
Exploring Operation: 52-21=31, Resulting Numbers: [28, 31]
Generated Node #0,1,2: 39:[28, 31] Operation: 52-21=31
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 39:[52, 7], Operations: ['90-38=52', '28-21=7']
Exploring Operation: 52*7=364, Resulting Numbers: [364]
364,39 unequal: No Solution
Exploring Operation: 52+7=59, Resulting Numbers: [59]
59,39 unequal: No Solution
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 39:[21, 24], Operations: ['90-38=52', '52-28=24']
Exploring Operation: 21+24=45, Resulting Numbers: [45]
45,39 unequal: No Solution
Exploring Operation: 21*24=504, Resulting Numbers: [504]
504,39 unequal: No Solution
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 39:[28, 31], Operations: ['90-38=52', '52-21=31']
Exploring Operation: 28+31=59, Resulting Numbers: [59]
59,39 unequal: No Solution
Exploring Operation: 28*31=868, Resulting Numbers: [868]
868,39 unequal: No Solution
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 39:[21, 38, 62], Operations: ['90-28=62']
Exploring Operation: 62-38=24, Resulting Numbers: [21, 24]
Generated Node #0,2,0: 39:[21, 24] Operation: 62-38=24
Exploring Operation: 38-21=17, Resulting Numbers: [62, 17]
Generated Node #0,2,1: 39:[62, 17] Operation: 38-21=17
Exploring Operation: 62-21=41, Resulting Numbers: [38, 41]
Generated Node #0,2,2: 39:[38, 41] Operation: 62-21=41
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 39:[38, 41], Operations: ['90-28=62', '62-21=41']
Exploring Operation: 41-38=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 38*41=1558, Resulting Numbers: [1558]
1558,39 unequal: No Solution
Exploring Operation: 38+41=79, Resulting Numbers: [79]
79,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 39:[21, 24], Operations: ['90-28=62', '62-38=24']
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 21*24=504, Resulting Numbers: [504]
504,39 unequal: No Solution
Exploring Operation: 21+24=45, Resulting Numbers: [45]
45,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 39:[62, 17], Operations: ['90-28=62', '38-21=17']
Exploring Operation: 62+17=79, Resulting Numbers: [79]
79,39 unequal: No Solution
Exploring Operation: 62*17=1054, Resulting Numbers: [1054]
1054,39 unequal: No Solution
Exploring Operation: 62-17=45, Resulting Numbers: [45]
45,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[38, 28, 69], Operations: ['90-21=69']
Exploring Operation: 69-28=41, Resulting Numbers: [38, 41]
Generated Node #0,0,0: 39:[38, 41] Operation: 69-28=41
Exploring Operation: 69-38=31, Resulting Numbers: [28, 31]
Generated Node #0,0,1: 39:[28, 31] Operation: 69-38=31
Exploring Operation: 38-28=10, Resulting Numbers: [69, 10]
Generated Node #0,0,2: 39:[69, 10] Operation: 38-28=10
Moving to Node #0,0,0
Current State: 39:[38, 41], Operations: ['90-21=69', '69-28=41']
Exploring Operation: 41-38=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 38*41=1558, Resulting Numbers: [1558]
1558,39 unequal: No Solution
Exploring Operation: 38+41=79, Resulting Numbers: [79]
79,39 unequal: No Solution
Moving to Node #0,0,1
Current State: 39:[28, 31], Operations: ['90-21=69', '69-38=31']
Exploring Operation: 28+31=59, Resulting Numbers: [59]
59,39 unequal: No Solution
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 28*31=868, Resulting Numbers: [868]
868,39 unequal: No Solution
Moving to Node #0,0,2
Current State: 39:[69, 10], Operations: ['90-21=69', '38-28=10']
Exploring Operation: 69-10=59, Resulting Numbers: [59]
59,39 unequal: No Solution
Exploring Operation: 69*10=690, Resulting Numbers: [690]
690,39 unequal: No Solution
Exploring Operation: 69+10=79, Resulting Numbers: [79]
79,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
18,
36,
71,
43
] | 46 |
[
"36-18=18",
"71-43=28",
"18+28=46"
] |
Current State: 46:[18, 36, 71, 43], Operations: []
Exploring Operation: 36-18=18, Resulting Numbers: [71, 43, 18]
Generated Node #2: [71, 43, 18] from Operation: 36-18=18
Current State: 46:[71, 43, 18], Operations: ['36-18=18']
Exploring Operation: 71-43=28, Resulting Numbers: [18, 28]
Generated Node #3: [18, 28] from Operation: 71-43=28
Current State: 46:[18, 28], Operations: ['36-18=18', '71-43=28']
Exploring Operation: 18+28=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
Current State: 46:[18, 36, 71, 43], Operations: []
Exploring Operation: 71-36=35, Resulting Numbers: [18, 43, 35]
Generated Node #0,0: 46:[18, 43, 35] Operation: 71-36=35
Moving to Node #0,0
Current State: 46:[18, 43, 35], Operations: ['71-36=35']
Exploring Operation: 35-18=17, Resulting Numbers: [43, 17]
Generated Node #0,0,0: 46:[43, 17] Operation: 35-18=17
Moving to Node #0,0,0
Current State: 46:[43, 17], Operations: ['71-36=35', '35-18=17']
Exploring Operation: 43-17=26, Resulting Numbers: [26]
26,46 unequal: No Solution
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
25,
1,
12,
72
] | 18 |
[
"25-1=24",
"72/12=6",
"24-6=18"
] |
Current State: 18:[25, 1, 12, 72], Operations: []
Exploring Operation: 25-1=24, Resulting Numbers: [12, 72, 24]
Generated Node #2: [12, 72, 24] from Operation: 25-1=24
Current State: 18:[12, 72, 24], Operations: ['25-1=24']
Exploring Operation: 72/12=6, Resulting Numbers: [24, 6]
Generated Node #3: [24, 6] from Operation: 72/12=6
Current State: 18:[24, 6], Operations: ['25-1=24', '72/12=6']
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
Current State: 18:[25, 1, 12, 72], Operations: []
Exploring Operation: 72/12=6, Resulting Numbers: [25, 1, 6]
Generated Node #0,0: 18:[25, 1, 6] Operation: 72/12=6
Exploring Operation: 25-12=13, Resulting Numbers: [1, 72, 13]
Generated Node #0,1: 18:[1, 72, 13] Operation: 25-12=13
Exploring Operation: 72-12=60, Resulting Numbers: [25, 1, 60]
Generated Node #0,2: 18:[25, 1, 60] Operation: 72-12=60
Exploring Operation: 72-25=47, Resulting Numbers: [1, 12, 47]
Generated Node #0,3: 18:[1, 12, 47] Operation: 72-25=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[25, 1, 6], Operations: ['72/12=6']
Exploring Operation: 25*1=25, Resulting Numbers: [6, 25]
Generated Node #0,0,0: 18:[6, 25] Operation: 25*1=25
Exploring Operation: 25-6=19, Resulting Numbers: [1, 19]
Generated Node #0,0,1: 18:[1, 19] Operation: 25-6=19
Exploring Operation: 25-1=24, Resulting Numbers: [6, 24]
Generated Node #0,0,2: 18:[6, 24] Operation: 25-1=24
Exploring Operation: 25/1=25, Resulting Numbers: [6, 25]
Generated Node #0,0,3: 18:[6, 25] Operation: 25/1=25
Moving to Node #0,0,1
Current State: 18:[1, 19], Operations: ['72/12=6', '25-6=19']
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,18 unequal: No Solution
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,18 unequal: No Solution
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[25, 1, 12, 72], Operations: []
Exploring Operation: 72/12=6, Resulting Numbers: [25, 1, 6]
Generated Node #0,0: 18:[25, 1, 6] Operation: 72/12=6
Moving to Node #0,0
Current State: 18:[25, 1, 6], Operations: ['72/12=6']
Exploring Operation: 25-6=19, Resulting Numbers: [1, 19]
Generated Node #0,0,1: 18:[1, 19] Operation: 25-6=19
Moving to Node #0,0,1
Current State: 18:[1, 19], Operations: ['72/12=6', '25-6=19']
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 |
hs_4
|
sum_heuristic
|
[
25,
79,
24,
53
] | 27 |
[
"25+79=104",
"24+53=77",
"104-77=27"
] |
Current State: 27:[25, 79, 24, 53], Operations: []
Exploring Operation: 25+79=104, Resulting Numbers: [24, 53, 104]
Generated Node #2: [24, 53, 104] from Operation: 25+79=104
Current State: 27:[24, 53, 104], Operations: ['25+79=104']
Exploring Operation: 24+53=77, Resulting Numbers: [104, 77]
Generated Node #3: [104, 77] from Operation: 24+53=77
Current State: 27:[104, 77], Operations: ['25+79=104', '24+53=77']
Exploring Operation: 104-77=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
Current State: 27:[25, 79, 24, 53], Operations: []
Exploring Operation: 79-24=55, Resulting Numbers: [25, 53, 55]
Generated Node #0,0: 27:[25, 53, 55] Operation: 79-24=55
Exploring Operation: 53-25=28, Resulting Numbers: [79, 24, 28]
Generated Node #0,1: 27:[79, 24, 28] Operation: 53-25=28
Exploring Operation: 79-25=54, Resulting Numbers: [24, 53, 54]
Generated Node #0,2: 27:[24, 53, 54] Operation: 79-25=54
Exploring Operation: 79-53=26, Resulting Numbers: [25, 24, 26]
Generated Node #0,3: 27:[25, 24, 26] Operation: 79-53=26
Moving to Node #0,3
Current State: 27:[25, 24, 26], Operations: ['79-53=26']
Exploring Operation: 25-24=1, Resulting Numbers: [26, 1]
Generated Node #0,3,0: 27:[26, 1] Operation: 25-24=1
Exploring Operation: 26-24=2, Resulting Numbers: [25, 2]
Generated Node #0,3,1: 27:[25, 2] Operation: 26-24=2
Exploring Operation: 26-25=1, Resulting Numbers: [24, 1]
Generated Node #0,3,2: 27:[24, 1] Operation: 26-25=1
Exploring Operation: 25+24=49, Resulting Numbers: [26, 49]
Generated Node #0,3,3: 27:[26, 49] Operation: 25+24=49
Moving to Node #0,1
Current State: 27:[79, 24, 28], Operations: ['53-25=28']
Exploring Operation: 79+24=103, Resulting Numbers: [28, 103]
Generated Node #0,1,0: 27:[28, 103] Operation: 79+24=103
Exploring Operation: 28-24=4, Resulting Numbers: [79, 4]
Generated Node #0,1,1: 27:[79, 4] Operation: 28-24=4
Exploring Operation: 79-24=55, Resulting Numbers: [28, 55]
Generated Node #0,1,2: 27:[28, 55] Operation: 79-24=55
Exploring Operation: 79-28=51, Resulting Numbers: [24, 51]
Generated Node #0,1,3: 27:[24, 51] Operation: 79-28=51
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 27:[24, 51], Operations: ['53-25=28', '79-28=51']
Exploring Operation: 24+51=75, Resulting Numbers: [75]
75,27 unequal: No Solution
Exploring Operation: 51-24=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[25, 79, 24, 53], Operations: []
Exploring Operation: 53-25=28, Resulting Numbers: [79, 24, 28]
Generated Node #0,1: 27:[79, 24, 28] Operation: 53-25=28
Moving to Node #0,1
Current State: 27:[79, 24, 28], Operations: ['53-25=28']
Exploring Operation: 79-28=51, Resulting Numbers: [24, 51]
Generated Node #0,1,3: 27:[24, 51] Operation: 79-28=51
Moving to Node #0,1,3
Current State: 27:[24, 51], Operations: ['53-25=28', '79-28=51']
Exploring Operation: 51-24=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 |
hs_4
|
mult_heuristic
|
[
75,
32,
50,
67
] | 10 |
[
"75+32=107",
"50+67=117",
"117-107=10"
] |
Current State: 10:[75, 32, 50, 67], Operations: []
Exploring Operation: 75+32=107, Resulting Numbers: [50, 67, 107]
Generated Node #2: [50, 67, 107] from Operation: 75+32=107
Current State: 10:[50, 67, 107], Operations: ['75+32=107']
Exploring Operation: 50+67=117, Resulting Numbers: [107, 117]
Generated Node #3: [107, 117] from Operation: 50+67=117
Current State: 10:[107, 117], Operations: ['75+32=107', '50+67=117']
Exploring Operation: 117-107=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
Current State: 10:[75, 32, 50, 67], Operations: []
Exploring Operation: 75-67=8, Resulting Numbers: [32, 50, 8]
Generated Node #0,0: 10:[32, 50, 8] Operation: 75-67=8
Exploring Operation: 67-50=17, Resulting Numbers: [75, 32, 17]
Generated Node #0,1: 10:[75, 32, 17] Operation: 67-50=17
Exploring Operation: 75-50=25, Resulting Numbers: [32, 67, 25]
Generated Node #0,2: 10:[32, 67, 25] Operation: 75-50=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[32, 50, 8], Operations: ['75-67=8']
Exploring Operation: 50-32=18, Resulting Numbers: [8, 18]
Generated Node #0,0,0: 10:[8, 18] Operation: 50-32=18
Exploring Operation: 32-8=24, Resulting Numbers: [50, 24]
Generated Node #0,0,1: 10:[50, 24] Operation: 32-8=24
Exploring Operation: 32/8=4, Resulting Numbers: [50, 4]
Generated Node #0,0,2: 10:[50, 4] Operation: 32/8=4
Moving to Node #0,0,0
Current State: 10:[8, 18], Operations: ['75-67=8', '50-32=18']
Exploring Operation: 8+18=26, Resulting Numbers: [26]
26,10 unequal: No Solution
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[75, 32, 50, 67], Operations: []
Exploring Operation: 75-67=8, Resulting Numbers: [32, 50, 8]
Generated Node #0,0: 10:[32, 50, 8] Operation: 75-67=8
Moving to Node #0,0
Current State: 10:[32, 50, 8], Operations: ['75-67=8']
Exploring Operation: 50-32=18, Resulting Numbers: [8, 18]
Generated Node #0,0,0: 10:[8, 18] Operation: 50-32=18
Moving to Node #0,0,0
Current State: 10:[8, 18], Operations: ['75-67=8', '50-32=18']
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 |
hs_3
|
sum_heuristic
|
[
2,
39,
71,
82
] | 96 |
[
"39+71=110",
"82+110=192",
"192/2=96"
] |
Current State: 96:[2, 39, 71, 82], Operations: []
Exploring Operation: 39+71=110, Resulting Numbers: [2, 82, 110]
Generated Node #2: [2, 82, 110] from Operation: 39+71=110
Current State: 96:[2, 82, 110], Operations: ['39+71=110']
Exploring Operation: 82+110=192, Resulting Numbers: [2, 192]
Generated Node #3: [2, 192] from Operation: 82+110=192
Current State: 96:[2, 192], Operations: ['39+71=110', '82+110=192']
Exploring Operation: 192/2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
Current State: 96:[2, 39, 71, 82], Operations: []
Exploring Operation: 39+71=110, Resulting Numbers: [2, 82, 110]
Generated Node #0,0: 96:[2, 82, 110] Operation: 39+71=110
Exploring Operation: 71-39=32, Resulting Numbers: [2, 82, 32]
Generated Node #0,1: 96:[2, 82, 32] Operation: 71-39=32
Exploring Operation: 82/2=41, Resulting Numbers: [39, 71, 41]
Generated Node #0,2: 96:[39, 71, 41] Operation: 82/2=41
Exploring Operation: 82-71=11, Resulting Numbers: [2, 39, 11]
Generated Node #0,3: 96:[2, 39, 11] Operation: 82-71=11
Exploring Operation: 82-39=43, Resulting Numbers: [2, 71, 43]
Generated Node #0,4: 96:[2, 71, 43] Operation: 82-39=43
Start Sub Search at level 1: Moving to Node #0,3
Current State: 96:[2, 39, 11], Operations: ['82-71=11']
Exploring Operation: 39-11=28, Resulting Numbers: [2, 28]
Generated Node #0,3,0: 96:[2, 28] Operation: 39-11=28
Exploring Operation: 39+11=50, Resulting Numbers: [2, 50]
Generated Node #0,3,1: 96:[2, 50] Operation: 39+11=50
Exploring Operation: 39-2=37, Resulting Numbers: [11, 37]
Generated Node #0,3,2: 96:[11, 37] Operation: 39-2=37
Exploring Operation: 2+39=41, Resulting Numbers: [11, 41]
Generated Node #0,3,3: 96:[11, 41] Operation: 2+39=41
Exploring Operation: 2+11=13, Resulting Numbers: [39, 13]
Generated Node #0,3,4: 96:[39, 13] Operation: 2+11=13
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 96:[2, 50], Operations: ['82-71=11', '39+11=50']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,96 unequal: No Solution
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,96 unequal: No Solution
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,96 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 96:[2, 28], Operations: ['82-71=11', '39-11=28']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,96 unequal: No Solution
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,96 unequal: No Solution
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 96:[11, 37], Operations: ['82-71=11', '39-2=37']
Exploring Operation: 11*37=407, Resulting Numbers: [407]
407,96 unequal: No Solution
Exploring Operation: 11+37=48, Resulting Numbers: [48]
48,96 unequal: No Solution
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 96:[11, 41], Operations: ['82-71=11', '2+39=41']
Exploring Operation: 11+41=52, Resulting Numbers: [52]
52,96 unequal: No Solution
Exploring Operation: 11*41=451, Resulting Numbers: [451]
451,96 unequal: No Solution
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 96:[39, 13], Operations: ['82-71=11', '2+11=13']
Exploring Operation: 39+13=52, Resulting Numbers: [52]
52,96 unequal: No Solution
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,96 unequal: No Solution
Exploring Operation: 39*13=507, Resulting Numbers: [507]
507,96 unequal: No Solution
Exploring Operation: 39/13=3, Resulting Numbers: [3]
3,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[2, 82, 32], Operations: ['71-39=32']
Exploring Operation: 82/2=41, Resulting Numbers: [32, 41]
Generated Node #0,1,0: 96:[32, 41] Operation: 82/2=41
Exploring Operation: 82-32=50, Resulting Numbers: [2, 50]
Generated Node #0,1,1: 96:[2, 50] Operation: 82-32=50
Exploring Operation: 2+82=84, Resulting Numbers: [32, 84]
Generated Node #0,1,2: 96:[32, 84] Operation: 2+82=84
Exploring Operation: 82-2=80, Resulting Numbers: [32, 80]
Generated Node #0,1,3: 96:[32, 80] Operation: 82-2=80
Exploring Operation: 32/2=16, Resulting Numbers: [82, 16]
Generated Node #0,1,4: 96:[82, 16] Operation: 32/2=16
Moving to Node #0,1,1
Current State: 96:[2, 50], Operations: ['71-39=32', '82-32=50']
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,96 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,96 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,96 unequal: No Solution
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,96 unequal: No Solution
Moving to Node #0,1,0
Current State: 96:[32, 41], Operations: ['71-39=32', '82/2=41']
Exploring Operation: 32*41=1312, Resulting Numbers: [1312]
1312,96 unequal: No Solution
Exploring Operation: 32+41=73, Resulting Numbers: [73]
73,96 unequal: No Solution
Exploring Operation: 41-32=9, Resulting Numbers: [9]
9,96 unequal: No Solution
Moving to Node #0,1,2
Current State: 96:[32, 84], Operations: ['71-39=32', '2+82=84']
Exploring Operation: 84-32=52, Resulting Numbers: [52]
52,96 unequal: No Solution
Exploring Operation: 32+84=116, Resulting Numbers: [116]
116,96 unequal: No Solution
Exploring Operation: 32*84=2688, Resulting Numbers: [2688]
2688,96 unequal: No Solution
Moving to Node #0,1,4
Current State: 96:[82, 16], Operations: ['71-39=32', '32/2=16']
Exploring Operation: 82+16=98, Resulting Numbers: [98]
98,96 unequal: No Solution
Exploring Operation: 82-16=66, Resulting Numbers: [66]
66,96 unequal: No Solution
Exploring Operation: 82*16=1312, Resulting Numbers: [1312]
1312,96 unequal: No Solution
Moving to Node #0,1,3
Current State: 96:[32, 80], Operations: ['71-39=32', '82-2=80']
Exploring Operation: 80-32=48, Resulting Numbers: [48]
48,96 unequal: No Solution
Exploring Operation: 32*80=2560, Resulting Numbers: [2560]
2560,96 unequal: No Solution
Exploring Operation: 32+80=112, Resulting Numbers: [112]
112,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[2, 82, 110], Operations: ['39+71=110']
Exploring Operation: 2+82=84, Resulting Numbers: [110, 84]
Generated Node #0,0,0: 96:[110, 84] Operation: 2+82=84
Exploring Operation: 82/2=41, Resulting Numbers: [110, 41]
Generated Node #0,0,1: 96:[110, 41] Operation: 82/2=41
Exploring Operation: 110/2=55, Resulting Numbers: [82, 55]
Generated Node #0,0,2: 96:[82, 55] Operation: 110/2=55
Exploring Operation: 110-2=108, Resulting Numbers: [82, 108]
Generated Node #0,0,3: 96:[82, 108] Operation: 110-2=108
Exploring Operation: 110-82=28, Resulting Numbers: [2, 28]
Generated Node #0,0,4: 96:[2, 28] Operation: 110-82=28
Moving to Node #0,0,4
Current State: 96:[2, 28], Operations: ['39+71=110', '110-82=28']
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,96 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,96 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,96 unequal: No Solution
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Moving to Node #0,0,2
Current State: 96:[82, 55], Operations: ['39+71=110', '110/2=55']
Exploring Operation: 82*55=4510, Resulting Numbers: [4510]
4510,96 unequal: No Solution
Exploring Operation: 82-55=27, Resulting Numbers: [27]
27,96 unequal: No Solution
Exploring Operation: 82+55=137, Resulting Numbers: [137]
137,96 unequal: No Solution
Moving to Node #0,0,1
Current State: 96:[110, 41], Operations: ['39+71=110', '82/2=41']
Exploring Operation: 110-41=69, Resulting Numbers: [69]
69,96 unequal: No Solution
Exploring Operation: 110+41=151, Resulting Numbers: [151]
151,96 unequal: No Solution
Exploring Operation: 110*41=4510, Resulting Numbers: [4510]
4510,96 unequal: No Solution
Moving to Node #0,0,0
Current State: 96:[110, 84], Operations: ['39+71=110', '2+82=84']
Exploring Operation: 110*84=9240, Resulting Numbers: [9240]
9240,96 unequal: No Solution
Exploring Operation: 110+84=194, Resulting Numbers: [194]
194,96 unequal: No Solution
Exploring Operation: 110-84=26, Resulting Numbers: [26]
26,96 unequal: No Solution
Moving to Node #0,0,3
Current State: 96:[82, 108], Operations: ['39+71=110', '110-2=108']
Exploring Operation: 108-82=26, Resulting Numbers: [26]
26,96 unequal: No Solution
Exploring Operation: 82*108=8856, Resulting Numbers: [8856]
8856,96 unequal: No Solution
Exploring Operation: 82+108=190, Resulting Numbers: [190]
190,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 96:[2, 71, 43], Operations: ['82-39=43']
Exploring Operation: 71-43=28, Resulting Numbers: [2, 28]
Generated Node #0,4,0: 96:[2, 28] Operation: 71-43=28
Exploring Operation: 71+43=114, Resulting Numbers: [2, 114]
Generated Node #0,4,1: 96:[2, 114] Operation: 71+43=114
Exploring Operation: 71-2=69, Resulting Numbers: [43, 69]
Generated Node #0,4,2: 96:[43, 69] Operation: 71-2=69
Exploring Operation: 2+71=73, Resulting Numbers: [43, 73]
Generated Node #0,4,3: 96:[43, 73] Operation: 2+71=73
Exploring Operation: 2+43=45, Resulting Numbers: [71, 45]
Generated Node #0,4,4: 96:[71, 45] Operation: 2+43=45
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 96:[2, 28], Operations: ['82-39=43', '71-43=28']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,96 unequal: No Solution
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,96 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 96:[2, 114], Operations: ['82-39=43', '71+43=114']
Exploring Operation: 2+114=116, Resulting Numbers: [116]
116,96 unequal: No Solution
Exploring Operation: 114-2=112, Resulting Numbers: [112]
112,96 unequal: No Solution
Exploring Operation: 114/2=57, Resulting Numbers: [57]
57,96 unequal: No Solution
Exploring Operation: 2*114=228, Resulting Numbers: [228]
228,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 96:[43, 69], Operations: ['82-39=43', '71-2=69']
Exploring Operation: 43*69=2967, Resulting Numbers: [2967]
2967,96 unequal: No Solution
Exploring Operation: 43+69=112, Resulting Numbers: [112]
112,96 unequal: No Solution
Exploring Operation: 69-43=26, Resulting Numbers: [26]
26,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 96:[71, 45], Operations: ['82-39=43', '2+43=45']
Exploring Operation: 71-45=26, Resulting Numbers: [26]
26,96 unequal: No Solution
Exploring Operation: 71+45=116, Resulting Numbers: [116]
116,96 unequal: No Solution
Exploring Operation: 71*45=3195, Resulting Numbers: [3195]
3195,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 96:[43, 73], Operations: ['82-39=43', '2+71=73']
Exploring Operation: 73-43=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Exploring Operation: 43+73=116, Resulting Numbers: [116]
116,96 unequal: No Solution
Exploring Operation: 43*73=3139, Resulting Numbers: [3139]
3139,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 96:[39, 71, 41], Operations: ['82/2=41']
Exploring Operation: 39+71=110, Resulting Numbers: [41, 110]
Generated Node #0,2,0: 96:[41, 110] Operation: 39+71=110
Exploring Operation: 71+41=112, Resulting Numbers: [39, 112]
Generated Node #0,2,1: 96:[39, 112] Operation: 71+41=112
Exploring Operation: 71-41=30, Resulting Numbers: [39, 30]
Generated Node #0,2,2: 96:[39, 30] Operation: 71-41=30
Exploring Operation: 71-39=32, Resulting Numbers: [41, 32]
Generated Node #0,2,3: 96:[41, 32] Operation: 71-39=32
Exploring Operation: 41-39=2, Resulting Numbers: [71, 2]
Generated Node #0,2,4: 96:[71, 2] Operation: 41-39=2
Moving to Node #0,2,3
Current State: 96:[41, 32], Operations: ['82/2=41', '71-39=32']
Exploring Operation: 41*32=1312, Resulting Numbers: [1312]
1312,96 unequal: No Solution
Exploring Operation: 41-32=9, Resulting Numbers: [9]
9,96 unequal: No Solution
Exploring Operation: 41+32=73, Resulting Numbers: [73]
73,96 unequal: No Solution
Moving to Node #0,2,2
Current State: 96:[39, 30], Operations: ['82/2=41', '71-41=30']
Exploring Operation: 39+30=69, Resulting Numbers: [69]
69,96 unequal: No Solution
Exploring Operation: 39-30=9, Resulting Numbers: [9]
9,96 unequal: No Solution
Exploring Operation: 39*30=1170, Resulting Numbers: [1170]
1170,96 unequal: No Solution
Moving to Node #0,2,0
Current State: 96:[41, 110], Operations: ['82/2=41', '39+71=110']
Exploring Operation: 41*110=4510, Resulting Numbers: [4510]
4510,96 unequal: No Solution
Exploring Operation: 110-41=69, Resulting Numbers: [69]
69,96 unequal: No Solution
Exploring Operation: 41+110=151, Resulting Numbers: [151]
151,96 unequal: No Solution
Moving to Node #0,2,1
Current State: 96:[39, 112], Operations: ['82/2=41', '71+41=112']
Exploring Operation: 112-39=73, Resulting Numbers: [73]
73,96 unequal: No Solution
Exploring Operation: 39+112=151, Resulting Numbers: [151]
151,96 unequal: No Solution
Exploring Operation: 39*112=4368, Resulting Numbers: [4368]
4368,96 unequal: No Solution
Moving to Node #0,2,4
Current State: 96:[71, 2], Operations: ['82/2=41', '41-39=2']
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,96 unequal: No Solution
Exploring Operation: 71*2=142, Resulting Numbers: [142]
142,96 unequal: No Solution
Exploring Operation: 71+2=73, Resulting Numbers: [73]
73,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
51,
55,
66,
96
] | 90 |
[
"55-51=4",
"96/4=24",
"66+24=90"
] |
Current State: 90:[51, 55, 66, 96], Operations: []
Exploring Operation: 55-51=4, Resulting Numbers: [66, 96, 4]
Generated Node #2: [66, 96, 4] from Operation: 55-51=4
Current State: 90:[66, 96, 4], Operations: ['55-51=4']
Exploring Operation: 96/4=24, Resulting Numbers: [66, 24]
Generated Node #3: [66, 24] from Operation: 96/4=24
Current State: 90:[66, 24], Operations: ['55-51=4', '96/4=24']
Exploring Operation: 66+24=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
Current State: 90:[51, 55, 66, 96], Operations: []
Exploring Operation: 96-66=30, Resulting Numbers: [51, 55, 30]
Generated Node #0,0: 90:[51, 55, 30] Operation: 96-66=30
Exploring Operation: 96-51=45, Resulting Numbers: [55, 66, 45]
Generated Node #0,1: 90:[55, 66, 45] Operation: 96-51=45
Exploring Operation: 66-51=15, Resulting Numbers: [55, 96, 15]
Generated Node #0,2: 90:[55, 96, 15] Operation: 66-51=15
Exploring Operation: 66-55=11, Resulting Numbers: [51, 96, 11]
Generated Node #0,3: 90:[51, 96, 11] Operation: 66-55=11
Exploring Operation: 55-51=4, Resulting Numbers: [66, 96, 4]
Generated Node #0,4: 90:[66, 96, 4] Operation: 55-51=4
Moving to Node #0,3
Current State: 90:[51, 96, 11], Operations: ['66-55=11']
Exploring Operation: 96-51=45, Resulting Numbers: [11, 45]
Generated Node #0,3,0: 90:[11, 45] Operation: 96-51=45
Exploring Operation: 96-11=85, Resulting Numbers: [51, 85]
Generated Node #0,3,1: 90:[51, 85] Operation: 96-11=85
Exploring Operation: 51+11=62, Resulting Numbers: [96, 62]
Generated Node #0,3,2: 90:[96, 62] Operation: 51+11=62
Exploring Operation: 96+11=107, Resulting Numbers: [51, 107]
Generated Node #0,3,3: 90:[51, 107] Operation: 96+11=107
Exploring Operation: 51-11=40, Resulting Numbers: [96, 40]
Generated Node #0,3,4: 90:[96, 40] Operation: 51-11=40
Moving to Node #0,2
Current State: 90:[55, 96, 15], Operations: ['66-51=15']
Exploring Operation: 55+15=70, Resulting Numbers: [96, 70]
Generated Node #0,2,0: 90:[96, 70] Operation: 55+15=70
Exploring Operation: 96-15=81, Resulting Numbers: [55, 81]
Generated Node #0,2,1: 90:[55, 81] Operation: 96-15=81
Exploring Operation: 96-55=41, Resulting Numbers: [15, 41]
Generated Node #0,2,2: 90:[15, 41] Operation: 96-55=41
Exploring Operation: 96+15=111, Resulting Numbers: [55, 111]
Generated Node #0,2,3: 90:[55, 111] Operation: 96+15=111
Exploring Operation: 55-15=40, Resulting Numbers: [96, 40]
Generated Node #0,2,4: 90:[96, 40] Operation: 55-15=40
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 90:[15, 41], Operations: ['66-51=15', '96-55=41']
Exploring Operation: 15+41=56, Resulting Numbers: [56]
56,90 unequal: No Solution
Exploring Operation: 41-15=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Exploring Operation: 15*41=615, Resulting Numbers: [615]
615,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 90:[96, 40], Operations: ['66-51=15', '55-15=40']
Exploring Operation: 96*40=3840, Resulting Numbers: [3840]
3840,90 unequal: No Solution
Exploring Operation: 96-40=56, Resulting Numbers: [56]
56,90 unequal: No Solution
Exploring Operation: 96+40=136, Resulting Numbers: [136]
136,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 90:[55, 81], Operations: ['66-51=15', '96-15=81']
Exploring Operation: 81-55=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Exploring Operation: 55*81=4455, Resulting Numbers: [4455]
4455,90 unequal: No Solution
Exploring Operation: 55+81=136, Resulting Numbers: [136]
136,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 90:[96, 70], Operations: ['66-51=15', '55+15=70']
Exploring Operation: 96-70=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Exploring Operation: 96*70=6720, Resulting Numbers: [6720]
6720,90 unequal: No Solution
Exploring Operation: 96+70=166, Resulting Numbers: [166]
166,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 90:[55, 111], Operations: ['66-51=15', '96+15=111']
Exploring Operation: 55*111=6105, Resulting Numbers: [6105]
6105,90 unequal: No Solution
Exploring Operation: 55+111=166, Resulting Numbers: [166]
166,90 unequal: No Solution
Exploring Operation: 111-55=56, Resulting Numbers: [56]
56,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 90:[51, 55, 30], Operations: ['96-66=30']
Exploring Operation: 51+55=106, Resulting Numbers: [30, 106]
Generated Node #0,0,0: 90:[30, 106] Operation: 51+55=106
Exploring Operation: 51-30=21, Resulting Numbers: [55, 21]
Generated Node #0,0,1: 90:[55, 21] Operation: 51-30=21
Exploring Operation: 55-51=4, Resulting Numbers: [30, 4]
Generated Node #0,0,2: 90:[30, 4] Operation: 55-51=4
Exploring Operation: 55+30=85, Resulting Numbers: [51, 85]
Generated Node #0,0,3: 90:[51, 85] Operation: 55+30=85
Exploring Operation: 55-30=25, Resulting Numbers: [51, 25]
Generated Node #0,0,4: 90:[51, 25] Operation: 55-30=25
Moving to Node #0,4
Current State: 90:[66, 96, 4], Operations: ['55-51=4']
Exploring Operation: 96-4=92, Resulting Numbers: [66, 92]
Generated Node #0,4,0: 90:[66, 92] Operation: 96-4=92
Exploring Operation: 96/4=24, Resulting Numbers: [66, 24]
Generated Node #0,4,1: 90:[66, 24] Operation: 96/4=24
Exploring Operation: 96-66=30, Resulting Numbers: [4, 30]
Generated Node #0,4,2: 90:[4, 30] Operation: 96-66=30
Exploring Operation: 66-4=62, Resulting Numbers: [96, 62]
Generated Node #0,4,3: 90:[96, 62] Operation: 66-4=62
Exploring Operation: 66+4=70, Resulting Numbers: [96, 70]
Generated Node #0,4,4: 90:[96, 70] Operation: 66+4=70
Moving to Node #0,1
Current State: 90:[55, 66, 45], Operations: ['96-51=45']
Exploring Operation: 66-55=11, Resulting Numbers: [45, 11]
Generated Node #0,1,0: 90:[45, 11] Operation: 66-55=11
Exploring Operation: 55+66=121, Resulting Numbers: [45, 121]
Generated Node #0,1,1: 90:[45, 121] Operation: 55+66=121
Exploring Operation: 55-45=10, Resulting Numbers: [66, 10]
Generated Node #0,1,2: 90:[66, 10] Operation: 55-45=10
Exploring Operation: 66-45=21, Resulting Numbers: [55, 21]
Generated Node #0,1,3: 90:[55, 21] Operation: 66-45=21
Exploring Operation: 55+45=100, Resulting Numbers: [66, 100]
Generated Node #0,1,4: 90:[66, 100] Operation: 55+45=100
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 90:[45, 11], Operations: ['96-51=45', '66-55=11']
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,90 unequal: No Solution
Exploring Operation: 45+11=56, Resulting Numbers: [56]
56,90 unequal: No Solution
Exploring Operation: 45*11=495, Resulting Numbers: [495]
495,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 90:[55, 21], Operations: ['96-51=45', '66-45=21']
Exploring Operation: 55-21=34, Resulting Numbers: [34]
34,90 unequal: No Solution
Exploring Operation: 55+21=76, Resulting Numbers: [76]
76,90 unequal: No Solution
Exploring Operation: 55*21=1155, Resulting Numbers: [1155]
1155,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 90:[66, 10], Operations: ['96-51=45', '55-45=10']
Exploring Operation: 66*10=660, Resulting Numbers: [660]
660,90 unequal: No Solution
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,90 unequal: No Solution
Exploring Operation: 66+10=76, Resulting Numbers: [76]
76,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 90:[45, 121], Operations: ['96-51=45', '55+66=121']
Exploring Operation: 121-45=76, Resulting Numbers: [76]
76,90 unequal: No Solution
Exploring Operation: 45+121=166, Resulting Numbers: [166]
166,90 unequal: No Solution
Exploring Operation: 45*121=5445, Resulting Numbers: [5445]
5445,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 90:[66, 100], Operations: ['96-51=45', '55+45=100']
Exploring Operation: 66+100=166, Resulting Numbers: [166]
166,90 unequal: No Solution
Exploring Operation: 66*100=6600, Resulting Numbers: [6600]
6600,90 unequal: No Solution
Exploring Operation: 100-66=34, Resulting Numbers: [34]
34,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 90:[11, 45], Operations: ['66-55=11', '96-51=45']
Exploring Operation: 11+45=56, Resulting Numbers: [56]
56,90 unequal: No Solution
Exploring Operation: 11*45=495, Resulting Numbers: [495]
495,90 unequal: No Solution
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,90 unequal: No Solution
Moving to Node #0,0,2
Current State: 90:[30, 4], Operations: ['96-66=30', '55-51=4']
Exploring Operation: 30+4=34, Resulting Numbers: [34]
34,90 unequal: No Solution
Exploring Operation: 30*4=120, Resulting Numbers: [120]
120,90 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Moving to Node #0,4,2
Current State: 90:[4, 30], Operations: ['55-51=4', '96-66=30']
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,90 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Exploring Operation: 4*30=120, Resulting Numbers: [120]
120,90 unequal: No Solution
Moving to Node #0,0,3
Current State: 90:[51, 85], Operations: ['96-66=30', '55+30=85']
Exploring Operation: 85-51=34, Resulting Numbers: [34]
34,90 unequal: No Solution
Exploring Operation: 51*85=4335, Resulting Numbers: [4335]
4335,90 unequal: No Solution
Exploring Operation: 51+85=136, Resulting Numbers: [136]
136,90 unequal: No Solution
Moving to Node #0,3,4
Current State: 90:[96, 40], Operations: ['66-55=11', '51-11=40']
Exploring Operation: 96+40=136, Resulting Numbers: [136]
136,90 unequal: No Solution
Exploring Operation: 96-40=56, Resulting Numbers: [56]
56,90 unequal: No Solution
Exploring Operation: 96*40=3840, Resulting Numbers: [3840]
3840,90 unequal: No Solution
Moving to Node #0,3,1
Current State: 90:[51, 85], Operations: ['66-55=11', '96-11=85']
Exploring Operation: 85-51=34, Resulting Numbers: [34]
34,90 unequal: No Solution
Exploring Operation: 51*85=4335, Resulting Numbers: [4335]
4335,90 unequal: No Solution
Exploring Operation: 51+85=136, Resulting Numbers: [136]
136,90 unequal: No Solution
Moving to Node #0,0,4
Current State: 90:[51, 25], Operations: ['96-66=30', '55-30=25']
Exploring Operation: 51*25=1275, Resulting Numbers: [1275]
1275,90 unequal: No Solution
Exploring Operation: 51+25=76, Resulting Numbers: [76]
76,90 unequal: No Solution
Exploring Operation: 51-25=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Moving to Node #0,0,1
Current State: 90:[55, 21], Operations: ['96-66=30', '51-30=21']
Exploring Operation: 55-21=34, Resulting Numbers: [34]
34,90 unequal: No Solution
Exploring Operation: 55+21=76, Resulting Numbers: [76]
76,90 unequal: No Solution
Exploring Operation: 55*21=1155, Resulting Numbers: [1155]
1155,90 unequal: No Solution
Moving to Node #0,0,0
Current State: 90:[30, 106], Operations: ['96-66=30', '51+55=106']
Exploring Operation: 106-30=76, Resulting Numbers: [76]
76,90 unequal: No Solution
Exploring Operation: 30+106=136, Resulting Numbers: [136]
136,90 unequal: No Solution
Exploring Operation: 30*106=3180, Resulting Numbers: [3180]
3180,90 unequal: No Solution
Moving to Node #0,4,0
Current State: 90:[66, 92], Operations: ['55-51=4', '96-4=92']
Exploring Operation: 66+92=158, Resulting Numbers: [158]
158,90 unequal: No Solution
Exploring Operation: 66*92=6072, Resulting Numbers: [6072]
6072,90 unequal: No Solution
Exploring Operation: 92-66=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Moving to Node #0,4,3
Current State: 90:[96, 62], Operations: ['55-51=4', '66-4=62']
Exploring Operation: 96-62=34, Resulting Numbers: [34]
34,90 unequal: No Solution
Exploring Operation: 96+62=158, Resulting Numbers: [158]
158,90 unequal: No Solution
Exploring Operation: 96*62=5952, Resulting Numbers: [5952]
5952,90 unequal: No Solution
Moving to Node #0,3,2
Current State: 90:[96, 62], Operations: ['66-55=11', '51+11=62']
Exploring Operation: 96-62=34, Resulting Numbers: [34]
34,90 unequal: No Solution
Exploring Operation: 96+62=158, Resulting Numbers: [158]
158,90 unequal: No Solution
Exploring Operation: 96*62=5952, Resulting Numbers: [5952]
5952,90 unequal: No Solution
Moving to Node #0,3,3
Current State: 90:[51, 107], Operations: ['66-55=11', '96+11=107']
Exploring Operation: 51+107=158, Resulting Numbers: [158]
158,90 unequal: No Solution
Exploring Operation: 107-51=56, Resulting Numbers: [56]
56,90 unequal: No Solution
Exploring Operation: 51*107=5457, Resulting Numbers: [5457]
5457,90 unequal: No Solution
Moving to Node #0,4,4
Current State: 90:[96, 70], Operations: ['55-51=4', '66+4=70']
Exploring Operation: 96+70=166, Resulting Numbers: [166]
166,90 unequal: No Solution
Exploring Operation: 96-70=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Exploring Operation: 96*70=6720, Resulting Numbers: [6720]
6720,90 unequal: No Solution
Moving to Node #0,4,1
Current State: 90:[66, 24], Operations: ['55-51=4', '96/4=24']
Exploring Operation: 66+24=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[51, 55, 66, 96], Operations: []
Exploring Operation: 55-51=4, Resulting Numbers: [66, 96, 4]
Generated Node #0,4: 90:[66, 96, 4] Operation: 55-51=4
Moving to Node #0,4
Current State: 90:[66, 96, 4], Operations: ['55-51=4']
Exploring Operation: 96/4=24, Resulting Numbers: [66, 24]
Generated Node #0,4,1: 90:[66, 24] Operation: 96/4=24
Moving to Node #0,4,1
Current State: 90:[66, 24], Operations: ['55-51=4', '96/4=24']
Exploring Operation: 66+24=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 0.907118 |
hs_5
|
sum_heuristic
|
[
20,
80,
94,
86
] | 71 |
[
"94+86=180",
"180/20=9",
"80-9=71"
] |
Current State: 71:[20, 80, 94, 86], Operations: []
Exploring Operation: 94+86=180, Resulting Numbers: [20, 80, 180]
Generated Node #2: [20, 80, 180] from Operation: 94+86=180
Current State: 71:[20, 80, 180], Operations: ['94+86=180']
Exploring Operation: 180/20=9, Resulting Numbers: [80, 9]
Generated Node #3: [80, 9] from Operation: 180/20=9
Current State: 71:[80, 9], Operations: ['94+86=180', '180/20=9']
Exploring Operation: 80-9=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
Current State: 71:[20, 80, 94, 86], Operations: []
Exploring Operation: 86-20=66, Resulting Numbers: [80, 94, 66]
Generated Node #0,0: 71:[80, 94, 66] Operation: 86-20=66
Exploring Operation: 80-20=60, Resulting Numbers: [94, 86, 60]
Generated Node #0,1: 71:[94, 86, 60] Operation: 80-20=60
Exploring Operation: 94-20=74, Resulting Numbers: [80, 86, 74]
Generated Node #0,2: 71:[80, 86, 74] Operation: 94-20=74
Start Sub Search at level 1: Moving to Node #0,2
Current State: 71:[80, 86, 74], Operations: ['94-20=74']
Exploring Operation: 80-74=6, Resulting Numbers: [86, 6]
Generated Node #0,2,0: 71:[86, 6] Operation: 80-74=6
Exploring Operation: 86-80=6, Resulting Numbers: [74, 6]
Generated Node #0,2,1: 71:[74, 6] Operation: 86-80=6
Exploring Operation: 86-74=12, Resulting Numbers: [80, 12]
Generated Node #0,2,2: 71:[80, 12] Operation: 86-74=12
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 71:[74, 6], Operations: ['94-20=74', '86-80=6']
Exploring Operation: 74*6=444, Resulting Numbers: [444]
444,71 unequal: No Solution
Exploring Operation: 74+6=80, Resulting Numbers: [80]
80,71 unequal: No Solution
Exploring Operation: 74-6=68, Resulting Numbers: [68]
68,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 71:[80, 12], Operations: ['94-20=74', '86-74=12']
Exploring Operation: 80-12=68, Resulting Numbers: [68]
68,71 unequal: No Solution
Exploring Operation: 80*12=960, Resulting Numbers: [960]
960,71 unequal: No Solution
Exploring Operation: 80+12=92, Resulting Numbers: [92]
92,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 71:[86, 6], Operations: ['94-20=74', '80-74=6']
Exploring Operation: 86+6=92, Resulting Numbers: [92]
92,71 unequal: No Solution
Exploring Operation: 86*6=516, Resulting Numbers: [516]
516,71 unequal: No Solution
Exploring Operation: 86-6=80, Resulting Numbers: [80]
80,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[80, 94, 66], Operations: ['86-20=66']
Exploring Operation: 94-80=14, Resulting Numbers: [66, 14]
Generated Node #0,0,0: 71:[66, 14] Operation: 94-80=14
Exploring Operation: 80-66=14, Resulting Numbers: [94, 14]
Generated Node #0,0,1: 71:[94, 14] Operation: 80-66=14
Exploring Operation: 94-66=28, Resulting Numbers: [80, 28]
Generated Node #0,0,2: 71:[80, 28] Operation: 94-66=28
Moving to Node #0,0,2
Current State: 71:[80, 28], Operations: ['86-20=66', '94-66=28']
Exploring Operation: 80-28=52, Resulting Numbers: [52]
52,71 unequal: No Solution
Exploring Operation: 80+28=108, Resulting Numbers: [108]
108,71 unequal: No Solution
Exploring Operation: 80*28=2240, Resulting Numbers: [2240]
2240,71 unequal: No Solution
Moving to Node #0,0,0
Current State: 71:[66, 14], Operations: ['86-20=66', '94-80=14']
Exploring Operation: 66*14=924, Resulting Numbers: [924]
924,71 unequal: No Solution
Exploring Operation: 66+14=80, Resulting Numbers: [80]
80,71 unequal: No Solution
Exploring Operation: 66-14=52, Resulting Numbers: [52]
52,71 unequal: No Solution
Moving to Node #0,0,1
Current State: 71:[94, 14], Operations: ['86-20=66', '80-66=14']
Exploring Operation: 94+14=108, Resulting Numbers: [108]
108,71 unequal: No Solution
Exploring Operation: 94*14=1316, Resulting Numbers: [1316]
1316,71 unequal: No Solution
Exploring Operation: 94-14=80, Resulting Numbers: [80]
80,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 71:[94, 86, 60], Operations: ['80-20=60']
Exploring Operation: 86-60=26, Resulting Numbers: [94, 26]
Generated Node #0,1,0: 71:[94, 26] Operation: 86-60=26
Exploring Operation: 94-86=8, Resulting Numbers: [60, 8]
Generated Node #0,1,1: 71:[60, 8] Operation: 94-86=8
Exploring Operation: 94-60=34, Resulting Numbers: [86, 34]
Generated Node #0,1,2: 71:[86, 34] Operation: 94-60=34
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 71:[86, 34], Operations: ['80-20=60', '94-60=34']
Exploring Operation: 86*34=2924, Resulting Numbers: [2924]
2924,71 unequal: No Solution
Exploring Operation: 86+34=120, Resulting Numbers: [120]
120,71 unequal: No Solution
Exploring Operation: 86-34=52, Resulting Numbers: [52]
52,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 71:[94, 26], Operations: ['80-20=60', '86-60=26']
Exploring Operation: 94+26=120, Resulting Numbers: [120]
120,71 unequal: No Solution
Exploring Operation: 94-26=68, Resulting Numbers: [68]
68,71 unequal: No Solution
Exploring Operation: 94*26=2444, Resulting Numbers: [2444]
2444,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 71:[60, 8], Operations: ['80-20=60', '94-86=8']
Exploring Operation: 60+8=68, Resulting Numbers: [68]
68,71 unequal: No Solution
Exploring Operation: 60-8=52, Resulting Numbers: [52]
52,71 unequal: No Solution
Exploring Operation: 60*8=480, Resulting Numbers: [480]
480,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
18,
27,
3,
63
] | 69 |
[
"27-18=9",
"63-3=60",
"9+60=69"
] |
Current State: 69:[18, 27, 3, 63], Operations: []
Exploring Operation: 27-18=9, Resulting Numbers: [3, 63, 9]
Generated Node #2: [3, 63, 9] from Operation: 27-18=9
Current State: 69:[3, 63, 9], Operations: ['27-18=9']
Exploring Operation: 63-3=60, Resulting Numbers: [9, 60]
Generated Node #3: [9, 60] from Operation: 63-3=60
Current State: 69:[9, 60], Operations: ['27-18=9', '63-3=60']
Exploring Operation: 9+60=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
Current State: 69:[18, 27, 3, 63], Operations: []
Exploring Operation: 63/3=21, Resulting Numbers: [18, 27, 21]
Generated Node #0,0: 69:[18, 27, 21] Operation: 63/3=21
Exploring Operation: 18+3=21, Resulting Numbers: [27, 63, 21]
Generated Node #0,1: 69:[27, 63, 21] Operation: 18+3=21
Exploring Operation: 27-3=24, Resulting Numbers: [18, 63, 24]
Generated Node #0,2: 69:[18, 63, 24] Operation: 27-3=24
Exploring Operation: 27-18=9, Resulting Numbers: [3, 63, 9]
Generated Node #0,3: 69:[3, 63, 9] Operation: 27-18=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[18, 27, 21], Operations: ['63/3=21']
Exploring Operation: 27-18=9, Resulting Numbers: [21, 9]
Generated Node #0,0,0: 69:[21, 9] Operation: 27-18=9
Exploring Operation: 21-18=3, Resulting Numbers: [27, 3]
Generated Node #0,0,1: 69:[27, 3] Operation: 21-18=3
Exploring Operation: 18+21=39, Resulting Numbers: [27, 39]
Generated Node #0,0,2: 69:[27, 39] Operation: 18+21=39
Exploring Operation: 27-21=6, Resulting Numbers: [18, 6]
Generated Node #0,0,3: 69:[18, 6] Operation: 27-21=6
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 69:[27, 3], Operations: ['63/3=21', '21-18=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,69 unequal: No Solution
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,69 unequal: No Solution
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 69:[21, 9], Operations: ['63/3=21', '27-18=9']
Exploring Operation: 21-9=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 21*9=189, Resulting Numbers: [189]
189,69 unequal: No Solution
Exploring Operation: 21+9=30, Resulting Numbers: [30]
30,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 69:[18, 6], Operations: ['63/3=21', '27-21=6']
Exploring Operation: 18*6=108, Resulting Numbers: [108]
108,69 unequal: No Solution
Exploring Operation: 18/6=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 18+6=24, Resulting Numbers: [24]
24,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 69:[27, 39], Operations: ['63/3=21', '18+21=39']
Exploring Operation: 27*39=1053, Resulting Numbers: [1053]
1053,69 unequal: No Solution
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 27+39=66, Resulting Numbers: [66]
66,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 69:[27, 63, 21], Operations: ['18+3=21']
Exploring Operation: 63-27=36, Resulting Numbers: [21, 36]
Generated Node #0,1,0: 69:[21, 36] Operation: 63-27=36
Exploring Operation: 63+21=84, Resulting Numbers: [27, 84]
Generated Node #0,1,1: 69:[27, 84] Operation: 63+21=84
Exploring Operation: 27-21=6, Resulting Numbers: [63, 6]
Generated Node #0,1,2: 69:[63, 6] Operation: 27-21=6
Exploring Operation: 63/21=3, Resulting Numbers: [27, 3]
Generated Node #0,1,3: 69:[27, 3] Operation: 63/21=3
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 69:[27, 3], Operations: ['18+3=21', '63/21=3']
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,69 unequal: No Solution
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,69 unequal: No Solution
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,69 unequal: No Solution
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 69:[63, 6], Operations: ['18+3=21', '27-21=6']
Exploring Operation: 63*6=378, Resulting Numbers: [378]
378,69 unequal: No Solution
Exploring Operation: 63+6=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[18, 27, 3, 63], Operations: []
Exploring Operation: 18+3=21, Resulting Numbers: [27, 63, 21]
Generated Node #0,1: 69:[27, 63, 21] Operation: 18+3=21
Moving to Node #0,1
Current State: 69:[27, 63, 21], Operations: ['18+3=21']
Exploring Operation: 27-21=6, Resulting Numbers: [63, 6]
Generated Node #0,1,2: 69:[63, 6] Operation: 27-21=6
Moving to Node #0,1,2
Current State: 69:[63, 6], Operations: ['18+3=21', '27-21=6']
Exploring Operation: 63+6=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96875 |
hs_4
|
mult_heuristic
|
[
21,
96,
18,
30
] | 63 |
[
"96-21=75",
"30-18=12",
"75-12=63"
] |
Current State: 63:[21, 96, 18, 30], Operations: []
Exploring Operation: 96-21=75, Resulting Numbers: [18, 30, 75]
Generated Node #2: [18, 30, 75] from Operation: 96-21=75
Current State: 63:[18, 30, 75], Operations: ['96-21=75']
Exploring Operation: 30-18=12, Resulting Numbers: [75, 12]
Generated Node #3: [75, 12] from Operation: 30-18=12
Current State: 63:[75, 12], Operations: ['96-21=75', '30-18=12']
Exploring Operation: 75-12=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
Current State: 63:[21, 96, 18, 30], Operations: []
Exploring Operation: 96-30=66, Resulting Numbers: [21, 18, 66]
Generated Node #0,0: 63:[21, 18, 66] Operation: 96-30=66
Exploring Operation: 96-21=75, Resulting Numbers: [18, 30, 75]
Generated Node #0,1: 63:[18, 30, 75] Operation: 96-21=75
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[21, 18, 66], Operations: ['96-30=66']
Exploring Operation: 66-18=48, Resulting Numbers: [21, 48]
Generated Node #0,0,0: 63:[21, 48] Operation: 66-18=48
Exploring Operation: 21-18=3, Resulting Numbers: [66, 3]
Generated Node #0,0,1: 63:[66, 3] Operation: 21-18=3
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 63:[66, 3], Operations: ['96-30=66', '21-18=3']
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[21, 96, 18, 30], Operations: []
Exploring Operation: 96-30=66, Resulting Numbers: [21, 18, 66]
Generated Node #0,0: 63:[21, 18, 66] Operation: 96-30=66
Moving to Node #0,0
Current State: 63:[21, 18, 66], Operations: ['96-30=66']
Exploring Operation: 21-18=3, Resulting Numbers: [66, 3]
Generated Node #0,0,1: 63:[66, 3] Operation: 21-18=3
Moving to Node #0,0,1
Current State: 63:[66, 3], Operations: ['96-30=66', '21-18=3']
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 |
hs_2
|
sum_heuristic
|
[
10,
87,
39,
41
] | 38 |
[
"39-10=29",
"87/29=3",
"41-3=38"
] |
Current State: 38:[10, 87, 39, 41], Operations: []
Exploring Operation: 39-10=29, Resulting Numbers: [87, 41, 29]
Generated Node #2: [87, 41, 29] from Operation: 39-10=29
Current State: 38:[87, 41, 29], Operations: ['39-10=29']
Exploring Operation: 87/29=3, Resulting Numbers: [41, 3]
Generated Node #3: [41, 3] from Operation: 87/29=3
Current State: 38:[41, 3], Operations: ['39-10=29', '87/29=3']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
Current State: 38:[10, 87, 39, 41], Operations: []
Exploring Operation: 87-39=48, Resulting Numbers: [10, 41, 48]
Generated Node #0,0: 38:[10, 41, 48] Operation: 87-39=48
Exploring Operation: 87-41=46, Resulting Numbers: [10, 39, 46]
Generated Node #0,1: 38:[10, 39, 46] Operation: 87-41=46
Moving to Node #0,1
Current State: 38:[10, 39, 46], Operations: ['87-41=46']
Exploring Operation: 46-10=36, Resulting Numbers: [39, 36]
Generated Node #0,1,0: 38:[39, 36] Operation: 46-10=36
Exploring Operation: 46-39=7, Resulting Numbers: [10, 7]
Generated Node #0,1,1: 38:[10, 7] Operation: 46-39=7
Moving to Node #0,0
Current State: 38:[10, 41, 48], Operations: ['87-39=48']
Exploring Operation: 48-10=38, Resulting Numbers: [41, 38]
Generated Node #0,0,0: 38:[41, 38] Operation: 48-10=38
Exploring Operation: 48-41=7, Resulting Numbers: [10, 7]
Generated Node #0,0,1: 38:[10, 7] Operation: 48-41=7
Moving to Node #0,1,0
Current State: 38:[39, 36], Operations: ['87-41=46', '46-10=36']
Exploring Operation: 39+36=75, Resulting Numbers: [75]
75,38 unequal: No Solution
Exploring Operation: 39-36=3, Resulting Numbers: [3]
3,38 unequal: No Solution
Moving to Node #0,0,0
Current State: 38:[41, 38], Operations: ['87-39=48', '48-10=38']
Exploring Operation: 41-38=3, Resulting Numbers: [3]
3,38 unequal: No Solution
Exploring Operation: 41+38=79, Resulting Numbers: [79]
79,38 unequal: No Solution
Moving to Node #0,1,1
Current State: 38:[10, 7], Operations: ['87-41=46', '46-39=7']
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,38 unequal: No Solution
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,38 unequal: No Solution
Moving to Node #0,0,1
Current State: 38:[10, 7], Operations: ['87-39=48', '48-41=7']
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,38 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,38 unequal: No Solution
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
71,
40,
15,
62
] | 78 |
[
"71-40=31",
"62-15=47",
"31+47=78"
] |
Current State: 78:[71, 40, 15, 62], Operations: []
Exploring Operation: 71-40=31, Resulting Numbers: [15, 62, 31]
Generated Node #2: [15, 62, 31] from Operation: 71-40=31
Current State: 78:[15, 62, 31], Operations: ['71-40=31']
Exploring Operation: 62-15=47, Resulting Numbers: [31, 47]
Generated Node #3: [31, 47] from Operation: 62-15=47
Current State: 78:[31, 47], Operations: ['71-40=31', '62-15=47']
Exploring Operation: 31+47=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
Current State: 78:[71, 40, 15, 62], Operations: []
Exploring Operation: 71-62=9, Resulting Numbers: [40, 15, 9]
Generated Node #0,0: 78:[40, 15, 9] Operation: 71-62=9
Exploring Operation: 62-15=47, Resulting Numbers: [71, 40, 47]
Generated Node #0,1: 78:[71, 40, 47] Operation: 62-15=47
Exploring Operation: 62-40=22, Resulting Numbers: [71, 15, 22]
Generated Node #0,2: 78:[71, 15, 22] Operation: 62-40=22
Exploring Operation: 15+62=77, Resulting Numbers: [71, 40, 77]
Generated Node #0,3: 78:[71, 40, 77] Operation: 15+62=77
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[40, 15, 9], Operations: ['71-62=9']
Exploring Operation: 15-9=6, Resulting Numbers: [40, 6]
Generated Node #0,0,0: 78:[40, 6] Operation: 15-9=6
Exploring Operation: 40-9=31, Resulting Numbers: [15, 31]
Generated Node #0,0,1: 78:[15, 31] Operation: 40-9=31
Exploring Operation: 40-15=25, Resulting Numbers: [9, 25]
Generated Node #0,0,2: 78:[9, 25] Operation: 40-15=25
Exploring Operation: 15+9=24, Resulting Numbers: [40, 24]
Generated Node #0,0,3: 78:[40, 24] Operation: 15+9=24
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 78:[40, 6], Operations: ['71-62=9', '15-9=6']
Exploring Operation: 40+6=46, Resulting Numbers: [46]
46,78 unequal: No Solution
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,78 unequal: No Solution
Exploring Operation: 40*6=240, Resulting Numbers: [240]
240,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 78:[40, 24], Operations: ['71-62=9', '15+9=24']
Exploring Operation: 40-24=16, Resulting Numbers: [16]
16,78 unequal: No Solution
Exploring Operation: 40+24=64, Resulting Numbers: [64]
64,78 unequal: No Solution
Exploring Operation: 40*24=960, Resulting Numbers: [960]
960,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 78:[9, 25], Operations: ['71-62=9', '40-15=25']
Exploring Operation: 9+25=34, Resulting Numbers: [34]
34,78 unequal: No Solution
Exploring Operation: 9*25=225, Resulting Numbers: [225]
225,78 unequal: No Solution
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 78:[15, 31], Operations: ['71-62=9', '40-9=31']
Exploring Operation: 31-15=16, Resulting Numbers: [16]
16,78 unequal: No Solution
Exploring Operation: 15+31=46, Resulting Numbers: [46]
46,78 unequal: No Solution
Exploring Operation: 15*31=465, Resulting Numbers: [465]
465,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 78:[71, 40, 77], Operations: ['15+62=77']
Exploring Operation: 77-40=37, Resulting Numbers: [71, 37]
Generated Node #0,3,0: 78:[71, 37] Operation: 77-40=37
Exploring Operation: 77-71=6, Resulting Numbers: [40, 6]
Generated Node #0,3,1: 78:[40, 6] Operation: 77-71=6
Exploring Operation: 71+40=111, Resulting Numbers: [77, 111]
Generated Node #0,3,2: 78:[77, 111] Operation: 71+40=111
Exploring Operation: 71-40=31, Resulting Numbers: [77, 31]
Generated Node #0,3,3: 78:[77, 31] Operation: 71-40=31
Moving to Node #0,3,1
Current State: 78:[40, 6], Operations: ['15+62=77', '77-71=6']
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,78 unequal: No Solution
Exploring Operation: 40*6=240, Resulting Numbers: [240]
240,78 unequal: No Solution
Exploring Operation: 40+6=46, Resulting Numbers: [46]
46,78 unequal: No Solution
Moving to Node #0,3,3
Current State: 78:[77, 31], Operations: ['15+62=77', '71-40=31']
Exploring Operation: 77*31=2387, Resulting Numbers: [2387]
2387,78 unequal: No Solution
Exploring Operation: 77-31=46, Resulting Numbers: [46]
46,78 unequal: No Solution
Exploring Operation: 77+31=108, Resulting Numbers: [108]
108,78 unequal: No Solution
Moving to Node #0,3,0
Current State: 78:[71, 37], Operations: ['15+62=77', '77-40=37']
Exploring Operation: 71+37=108, Resulting Numbers: [108]
108,78 unequal: No Solution
Exploring Operation: 71-37=34, Resulting Numbers: [34]
34,78 unequal: No Solution
Exploring Operation: 71*37=2627, Resulting Numbers: [2627]
2627,78 unequal: No Solution
Moving to Node #0,3,2
Current State: 78:[77, 111], Operations: ['15+62=77', '71+40=111']
Exploring Operation: 111-77=34, Resulting Numbers: [34]
34,78 unequal: No Solution
Exploring Operation: 77+111=188, Resulting Numbers: [188]
188,78 unequal: No Solution
Exploring Operation: 77*111=8547, Resulting Numbers: [8547]
8547,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 78:[71, 15, 22], Operations: ['62-40=22']
Exploring Operation: 71+15=86, Resulting Numbers: [22, 86]
Generated Node #0,2,0: 78:[22, 86] Operation: 71+15=86
Exploring Operation: 71-22=49, Resulting Numbers: [15, 49]
Generated Node #0,2,1: 78:[15, 49] Operation: 71-22=49
Exploring Operation: 15+22=37, Resulting Numbers: [71, 37]
Generated Node #0,2,2: 78:[71, 37] Operation: 15+22=37
Exploring Operation: 22-15=7, Resulting Numbers: [71, 7]
Generated Node #0,2,3: 78:[71, 7] Operation: 22-15=7
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 78:[71, 7], Operations: ['62-40=22', '22-15=7']
Exploring Operation: 71-7=64, Resulting Numbers: [64]
64,78 unequal: No Solution
Exploring Operation: 71*7=497, Resulting Numbers: [497]
497,78 unequal: No Solution
Exploring Operation: 71+7=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[71, 40, 15, 62], Operations: []
Exploring Operation: 62-40=22, Resulting Numbers: [71, 15, 22]
Generated Node #0,2: 78:[71, 15, 22] Operation: 62-40=22
Moving to Node #0,2
Current State: 78:[71, 15, 22], Operations: ['62-40=22']
Exploring Operation: 22-15=7, Resulting Numbers: [71, 7]
Generated Node #0,2,3: 78:[71, 7] Operation: 22-15=7
Moving to Node #0,2,3
Current State: 78:[71, 7], Operations: ['62-40=22', '22-15=7']
Exploring Operation: 71+7=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.959201 |
hs_4
|
sum_heuristic
|
[
96,
11,
24,
15
] | 29 |
[
"96*11=1056",
"1056/24=44",
"44-15=29"
] |
Current State: 29:[96, 11, 24, 15], Operations: []
Exploring Operation: 96*11=1056, Resulting Numbers: [24, 15, 1056]
Generated Node #2: [24, 15, 1056] from Operation: 96*11=1056
Current State: 29:[24, 15, 1056], Operations: ['96*11=1056']
Exploring Operation: 1056/24=44, Resulting Numbers: [15, 44]
Generated Node #3: [15, 44] from Operation: 1056/24=44
Current State: 29:[15, 44], Operations: ['96*11=1056', '1056/24=44']
Exploring Operation: 44-15=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
Current State: 29:[96, 11, 24, 15], Operations: []
Exploring Operation: 96-24=72, Resulting Numbers: [11, 15, 72]
Generated Node #0,0: 29:[11, 15, 72] Operation: 96-24=72
Exploring Operation: 96-15=81, Resulting Numbers: [11, 24, 81]
Generated Node #0,1: 29:[11, 24, 81] Operation: 96-15=81
Exploring Operation: 96/24=4, Resulting Numbers: [11, 15, 4]
Generated Node #0,2: 29:[11, 15, 4] Operation: 96/24=4
Exploring Operation: 96-11=85, Resulting Numbers: [24, 15, 85]
Generated Node #0,3: 29:[24, 15, 85] Operation: 96-11=85
Moving to Node #0,2
Current State: 29:[11, 15, 4], Operations: ['96/24=4']
Exploring Operation: 11+4=15, Resulting Numbers: [15, 15]
Generated Node #0,2,0: 29:[15, 15] Operation: 11+4=15
Exploring Operation: 11+15=26, Resulting Numbers: [4, 26]
Generated Node #0,2,1: 29:[4, 26] Operation: 11+15=26
Exploring Operation: 15+4=19, Resulting Numbers: [11, 19]
Generated Node #0,2,2: 29:[11, 19] Operation: 15+4=19
Exploring Operation: 11*4=44, Resulting Numbers: [15, 44]
Generated Node #0,2,3: 29:[15, 44] Operation: 11*4=44
Moving to Node #0,1
Current State: 29:[11, 24, 81], Operations: ['96-15=81']
Exploring Operation: 81-24=57, Resulting Numbers: [11, 57]
Generated Node #0,1,0: 29:[11, 57] Operation: 81-24=57
Exploring Operation: 81-11=70, Resulting Numbers: [24, 70]
Generated Node #0,1,1: 29:[24, 70] Operation: 81-11=70
Exploring Operation: 24-11=13, Resulting Numbers: [81, 13]
Generated Node #0,1,2: 29:[81, 13] Operation: 24-11=13
Exploring Operation: 11+24=35, Resulting Numbers: [81, 35]
Generated Node #0,1,3: 29:[81, 35] Operation: 11+24=35
Moving to Node #0,0
Current State: 29:[11, 15, 72], Operations: ['96-24=72']
Exploring Operation: 72-11=61, Resulting Numbers: [15, 61]
Generated Node #0,0,0: 29:[15, 61] Operation: 72-11=61
Exploring Operation: 72-15=57, Resulting Numbers: [11, 57]
Generated Node #0,0,1: 29:[11, 57] Operation: 72-15=57
Exploring Operation: 11+15=26, Resulting Numbers: [72, 26]
Generated Node #0,0,2: 29:[72, 26] Operation: 11+15=26
Exploring Operation: 15-11=4, Resulting Numbers: [72, 4]
Generated Node #0,0,3: 29:[72, 4] Operation: 15-11=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 29:[15, 61], Operations: ['96-24=72', '72-11=61']
Exploring Operation: 15+61=76, Resulting Numbers: [76]
76,29 unequal: No Solution
Exploring Operation: 15*61=915, Resulting Numbers: [915]
915,29 unequal: No Solution
Exploring Operation: 61-15=46, Resulting Numbers: [46]
46,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 29:[11, 57], Operations: ['96-24=72', '72-15=57']
Exploring Operation: 11*57=627, Resulting Numbers: [627]
627,29 unequal: No Solution
Exploring Operation: 11+57=68, Resulting Numbers: [68]
68,29 unequal: No Solution
Exploring Operation: 57-11=46, Resulting Numbers: [46]
46,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 29:[72, 26], Operations: ['96-24=72', '11+15=26']
Exploring Operation: 72*26=1872, Resulting Numbers: [1872]
1872,29 unequal: No Solution
Exploring Operation: 72+26=98, Resulting Numbers: [98]
98,29 unequal: No Solution
Exploring Operation: 72-26=46, Resulting Numbers: [46]
46,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 29:[72, 4], Operations: ['96-24=72', '15-11=4']
Exploring Operation: 72+4=76, Resulting Numbers: [76]
76,29 unequal: No Solution
Exploring Operation: 72*4=288, Resulting Numbers: [288]
288,29 unequal: No Solution
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,29 unequal: No Solution
Exploring Operation: 72-4=68, Resulting Numbers: [68]
68,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 29:[24, 15, 85], Operations: ['96-11=85']
Exploring Operation: 24-15=9, Resulting Numbers: [85, 9]
Generated Node #0,3,0: 29:[85, 9] Operation: 24-15=9
Exploring Operation: 24+15=39, Resulting Numbers: [85, 39]
Generated Node #0,3,1: 29:[85, 39] Operation: 24+15=39
Exploring Operation: 85-15=70, Resulting Numbers: [24, 70]
Generated Node #0,3,2: 29:[24, 70] Operation: 85-15=70
Exploring Operation: 85-24=61, Resulting Numbers: [15, 61]
Generated Node #0,3,3: 29:[15, 61] Operation: 85-24=61
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 29:[24, 70], Operations: ['96-11=85', '85-15=70']
Exploring Operation: 24*70=1680, Resulting Numbers: [1680]
1680,29 unequal: No Solution
Exploring Operation: 70-24=46, Resulting Numbers: [46]
46,29 unequal: No Solution
Exploring Operation: 24+70=94, Resulting Numbers: [94]
94,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 29:[15, 61], Operations: ['96-11=85', '85-24=61']
Exploring Operation: 15+61=76, Resulting Numbers: [76]
76,29 unequal: No Solution
Exploring Operation: 61-15=46, Resulting Numbers: [46]
46,29 unequal: No Solution
Exploring Operation: 15*61=915, Resulting Numbers: [915]
915,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 29:[85, 39], Operations: ['96-11=85', '24+15=39']
Exploring Operation: 85-39=46, Resulting Numbers: [46]
46,29 unequal: No Solution
Exploring Operation: 85+39=124, Resulting Numbers: [124]
124,29 unequal: No Solution
Exploring Operation: 85*39=3315, Resulting Numbers: [3315]
3315,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 29:[85, 9], Operations: ['96-11=85', '24-15=9']
Exploring Operation: 85+9=94, Resulting Numbers: [94]
94,29 unequal: No Solution
Exploring Operation: 85*9=765, Resulting Numbers: [765]
765,29 unequal: No Solution
Exploring Operation: 85-9=76, Resulting Numbers: [76]
76,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 29:[15, 15], Operations: ['96/24=4', '11+4=15']
Exploring Operation: 15/15=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 15+15=30, Resulting Numbers: [30]
30,29 unequal: No Solution
Exploring Operation: 15*15=225, Resulting Numbers: [225]
225,29 unequal: No Solution
Exploring Operation: 15-15=0, Resulting Numbers: [0]
0,29 unequal: No Solution
Moving to Node #0,2,2
Current State: 29:[11, 19], Operations: ['96/24=4', '15+4=19']
Exploring Operation: 11+19=30, Resulting Numbers: [30]
30,29 unequal: No Solution
Exploring Operation: 11*19=209, Resulting Numbers: [209]
209,29 unequal: No Solution
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Moving to Node #0,2,1
Current State: 29:[4, 26], Operations: ['96/24=4', '11+15=26']
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,29 unequal: No Solution
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,29 unequal: No Solution
Exploring Operation: 4*26=104, Resulting Numbers: [104]
104,29 unequal: No Solution
Moving to Node #0,2,3
Current State: 29:[15, 44], Operations: ['96/24=4', '11*4=44']
Exploring Operation: 44-15=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[96, 11, 24, 15], Operations: []
Exploring Operation: 96/24=4, Resulting Numbers: [11, 15, 4]
Generated Node #0,2: 29:[11, 15, 4] Operation: 96/24=4
Moving to Node #0,2
Current State: 29:[11, 15, 4], Operations: ['96/24=4']
Exploring Operation: 11*4=44, Resulting Numbers: [15, 44]
Generated Node #0,2,3: 29:[15, 44] Operation: 11*4=44
Moving to Node #0,2,3
Current State: 29:[15, 44], Operations: ['96/24=4', '11*4=44']
Exploring Operation: 44-15=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 0.947917 |
hs_4
|
mult_heuristic
|
[
74,
77,
79,
14
] | 96 |
[
"77-74=3",
"79+14=93",
"3+93=96"
] |
Current State: 96:[74, 77, 79, 14], Operations: []
Exploring Operation: 77-74=3, Resulting Numbers: [79, 14, 3]
Generated Node #2: [79, 14, 3] from Operation: 77-74=3
Current State: 96:[79, 14, 3], Operations: ['77-74=3']
Exploring Operation: 79+14=93, Resulting Numbers: [3, 93]
Generated Node #3: [3, 93] from Operation: 79+14=93
Current State: 96:[3, 93], Operations: ['77-74=3', '79+14=93']
Exploring Operation: 3+93=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
Current State: 96:[74, 77, 79, 14], Operations: []
Exploring Operation: 79-74=5, Resulting Numbers: [77, 14, 5]
Generated Node #0,0: 96:[77, 14, 5] Operation: 79-74=5
Exploring Operation: 77-74=3, Resulting Numbers: [79, 14, 3]
Generated Node #0,1: 96:[79, 14, 3] Operation: 77-74=3
Moving to Node #0,1
Current State: 96:[79, 14, 3], Operations: ['77-74=3']
Exploring Operation: 79+14=93, Resulting Numbers: [3, 93]
Generated Node #0,1,0: 96:[3, 93] Operation: 79+14=93
Exploring Operation: 79+3=82, Resulting Numbers: [14, 82]
Generated Node #0,1,1: 96:[14, 82] Operation: 79+3=82
Moving to Node #0,0
Current State: 96:[77, 14, 5], Operations: ['79-74=5']
Exploring Operation: 77-14=63, Resulting Numbers: [5, 63]
Generated Node #0,0,0: 96:[5, 63] Operation: 77-14=63
Exploring Operation: 77+14=91, Resulting Numbers: [5, 91]
Generated Node #0,0,1: 96:[5, 91] Operation: 77+14=91
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 96:[5, 91], Operations: ['79-74=5', '77+14=91']
Exploring Operation: 91-5=86, Resulting Numbers: [86]
86,96 unequal: No Solution
Exploring Operation: 5+91=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[74, 77, 79, 14], Operations: []
Exploring Operation: 79-74=5, Resulting Numbers: [77, 14, 5]
Generated Node #0,0: 96:[77, 14, 5] Operation: 79-74=5
Moving to Node #0,0
Current State: 96:[77, 14, 5], Operations: ['79-74=5']
Exploring Operation: 77+14=91, Resulting Numbers: [5, 91]
Generated Node #0,0,1: 96:[5, 91] Operation: 77+14=91
Moving to Node #0,0,1
Current State: 96:[5, 91], Operations: ['79-74=5', '77+14=91']
Exploring Operation: 5+91=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 |
hs_2
|
sum_heuristic
|
[
19,
66,
18,
8
] | 59 |
[
"19+66=85",
"18+8=26",
"85-26=59"
] |
Current State: 59:[19, 66, 18, 8], Operations: []
Exploring Operation: 19+66=85, Resulting Numbers: [18, 8, 85]
Generated Node #2: [18, 8, 85] from Operation: 19+66=85
Current State: 59:[18, 8, 85], Operations: ['19+66=85']
Exploring Operation: 18+8=26, Resulting Numbers: [85, 26]
Generated Node #3: [85, 26] from Operation: 18+8=26
Current State: 59:[85, 26], Operations: ['19+66=85', '18+8=26']
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
Current State: 59:[19, 66, 18, 8], Operations: []
Exploring Operation: 19+18=37, Resulting Numbers: [66, 8, 37]
Generated Node #0,0: 59:[66, 8, 37] Operation: 19+18=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[66, 8, 37], Operations: ['19+18=37']
Exploring Operation: 8+37=45, Resulting Numbers: [66, 45]
Generated Node #0,0,0: 59:[66, 45] Operation: 8+37=45
Moving to Node #0,0,0
Current State: 59:[66, 45], Operations: ['19+18=37', '8+37=45']
Exploring Operation: 66-45=21, Resulting Numbers: [21]
21,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
45,
5,
51,
79
] | 79 |
[
"45+5=50",
"51-50=1",
"79*1=79"
] |
Current State: 79:[45, 5, 51, 79], Operations: []
Exploring Operation: 45+5=50, Resulting Numbers: [51, 79, 50]
Generated Node #2: [51, 79, 50] from Operation: 45+5=50
Current State: 79:[51, 79, 50], Operations: ['45+5=50']
Exploring Operation: 51-50=1, Resulting Numbers: [79, 1]
Generated Node #3: [79, 1] from Operation: 51-50=1
Current State: 79:[79, 1], Operations: ['45+5=50', '51-50=1']
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
Current State: 79:[45, 5, 51, 79], Operations: []
Exploring Operation: 5+79=84, Resulting Numbers: [45, 51, 84]
Generated Node #0,0: 79:[45, 51, 84] Operation: 5+79=84
Exploring Operation: 45+5=50, Resulting Numbers: [51, 79, 50]
Generated Node #0,1: 79:[51, 79, 50] Operation: 45+5=50
Exploring Operation: 45-5=40, Resulting Numbers: [51, 79, 40]
Generated Node #0,2: 79:[51, 79, 40] Operation: 45-5=40
Exploring Operation: 5+51=56, Resulting Numbers: [45, 79, 56]
Generated Node #0,3: 79:[45, 79, 56] Operation: 5+51=56
Exploring Operation: 51-5=46, Resulting Numbers: [45, 79, 46]
Generated Node #0,4: 79:[45, 79, 46] Operation: 51-5=46
Moving to Node #0,1
Current State: 79:[51, 79, 50], Operations: ['45+5=50']
Exploring Operation: 51-50=1, Resulting Numbers: [79, 1]
Generated Node #0,1,0: 79:[79, 1] Operation: 51-50=1
Exploring Operation: 79-50=29, Resulting Numbers: [51, 29]
Generated Node #0,1,1: 79:[51, 29] Operation: 79-50=29
Exploring Operation: 51+79=130, Resulting Numbers: [50, 130]
Generated Node #0,1,2: 79:[50, 130] Operation: 51+79=130
Exploring Operation: 79+50=129, Resulting Numbers: [51, 129]
Generated Node #0,1,3: 79:[51, 129] Operation: 79+50=129
Exploring Operation: 51+50=101, Resulting Numbers: [79, 101]
Generated Node #0,1,4: 79:[79, 101] Operation: 51+50=101
Moving to Node #0,3
Current State: 79:[45, 79, 56], Operations: ['5+51=56']
Exploring Operation: 79-45=34, Resulting Numbers: [56, 34]
Generated Node #0,3,0: 79:[56, 34] Operation: 79-45=34
Exploring Operation: 79+56=135, Resulting Numbers: [45, 135]
Generated Node #0,3,1: 79:[45, 135] Operation: 79+56=135
Exploring Operation: 56-45=11, Resulting Numbers: [79, 11]
Generated Node #0,3,2: 79:[79, 11] Operation: 56-45=11
Exploring Operation: 45+79=124, Resulting Numbers: [56, 124]
Generated Node #0,3,3: 79:[56, 124] Operation: 45+79=124
Exploring Operation: 45+56=101, Resulting Numbers: [79, 101]
Generated Node #0,3,4: 79:[79, 101] Operation: 45+56=101
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 79:[79, 101], Operations: ['5+51=56', '45+56=101']
Exploring Operation: 79+101=180, Resulting Numbers: [180]
180,79 unequal: No Solution
Exploring Operation: 101-79=22, Resulting Numbers: [22]
22,79 unequal: No Solution
Exploring Operation: 79*101=7979, Resulting Numbers: [7979]
7979,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 79:[56, 34], Operations: ['5+51=56', '79-45=34']
Exploring Operation: 56*34=1904, Resulting Numbers: [1904]
1904,79 unequal: No Solution
Exploring Operation: 56-34=22, Resulting Numbers: [22]
22,79 unequal: No Solution
Exploring Operation: 56+34=90, Resulting Numbers: [90]
90,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 79:[79, 11], Operations: ['5+51=56', '56-45=11']
Exploring Operation: 79*11=869, Resulting Numbers: [869]
869,79 unequal: No Solution
Exploring Operation: 79+11=90, Resulting Numbers: [90]
90,79 unequal: No Solution
Exploring Operation: 79-11=68, Resulting Numbers: [68]
68,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 79:[56, 124], Operations: ['5+51=56', '45+79=124']
Exploring Operation: 56+124=180, Resulting Numbers: [180]
180,79 unequal: No Solution
Exploring Operation: 124-56=68, Resulting Numbers: [68]
68,79 unequal: No Solution
Exploring Operation: 56*124=6944, Resulting Numbers: [6944]
6944,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 79:[45, 135], Operations: ['5+51=56', '79+56=135']
Exploring Operation: 135/45=3, Resulting Numbers: [3]
3,79 unequal: No Solution
Exploring Operation: 45+135=180, Resulting Numbers: [180]
180,79 unequal: No Solution
Exploring Operation: 45*135=6075, Resulting Numbers: [6075]
6075,79 unequal: No Solution
Exploring Operation: 135-45=90, Resulting Numbers: [90]
90,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 79:[45, 51, 84], Operations: ['5+79=84']
Exploring Operation: 45+84=129, Resulting Numbers: [51, 129]
Generated Node #0,0,0: 79:[51, 129] Operation: 45+84=129
Exploring Operation: 84-51=33, Resulting Numbers: [45, 33]
Generated Node #0,0,1: 79:[45, 33] Operation: 84-51=33
Exploring Operation: 45+51=96, Resulting Numbers: [84, 96]
Generated Node #0,0,2: 79:[84, 96] Operation: 45+51=96
Exploring Operation: 51-45=6, Resulting Numbers: [84, 6]
Generated Node #0,0,3: 79:[84, 6] Operation: 51-45=6
Exploring Operation: 84-45=39, Resulting Numbers: [51, 39]
Generated Node #0,0,4: 79:[51, 39] Operation: 84-45=39
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 79:[84, 96], Operations: ['5+79=84', '45+51=96']
Exploring Operation: 84*96=8064, Resulting Numbers: [8064]
8064,79 unequal: No Solution
Exploring Operation: 84+96=180, Resulting Numbers: [180]
180,79 unequal: No Solution
Exploring Operation: 96-84=12, Resulting Numbers: [12]
12,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 79:[51, 39], Operations: ['5+79=84', '84-45=39']
Exploring Operation: 51-39=12, Resulting Numbers: [12]
12,79 unequal: No Solution
Exploring Operation: 51+39=90, Resulting Numbers: [90]
90,79 unequal: No Solution
Exploring Operation: 51*39=1989, Resulting Numbers: [1989]
1989,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[51, 129], Operations: ['5+79=84', '45+84=129']
Exploring Operation: 51*129=6579, Resulting Numbers: [6579]
6579,79 unequal: No Solution
Exploring Operation: 51+129=180, Resulting Numbers: [180]
180,79 unequal: No Solution
Exploring Operation: 129-51=78, Resulting Numbers: [78]
78,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 79:[84, 6], Operations: ['5+79=84', '51-45=6']
Exploring Operation: 84*6=504, Resulting Numbers: [504]
504,79 unequal: No Solution
Exploring Operation: 84-6=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 84/6=14, Resulting Numbers: [14]
14,79 unequal: No Solution
Exploring Operation: 84+6=90, Resulting Numbers: [90]
90,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 79:[45, 33], Operations: ['5+79=84', '84-51=33']
Exploring Operation: 45-33=12, Resulting Numbers: [12]
12,79 unequal: No Solution
Exploring Operation: 45*33=1485, Resulting Numbers: [1485]
1485,79 unequal: No Solution
Exploring Operation: 45+33=78, Resulting Numbers: [78]
78,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 79:[51, 79, 40], Operations: ['45-5=40']
Exploring Operation: 79+40=119, Resulting Numbers: [51, 119]
Generated Node #0,2,0: 79:[51, 119] Operation: 79+40=119
Exploring Operation: 79-40=39, Resulting Numbers: [51, 39]
Generated Node #0,2,1: 79:[51, 39] Operation: 79-40=39
Exploring Operation: 51-40=11, Resulting Numbers: [79, 11]
Generated Node #0,2,2: 79:[79, 11] Operation: 51-40=11
Exploring Operation: 51+40=91, Resulting Numbers: [79, 91]
Generated Node #0,2,3: 79:[79, 91] Operation: 51+40=91
Exploring Operation: 51+79=130, Resulting Numbers: [40, 130]
Generated Node #0,2,4: 79:[40, 130] Operation: 51+79=130
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 79:[79, 91], Operations: ['45-5=40', '51+40=91']
Exploring Operation: 79+91=170, Resulting Numbers: [170]
170,79 unequal: No Solution
Exploring Operation: 79*91=7189, Resulting Numbers: [7189]
7189,79 unequal: No Solution
Exploring Operation: 91-79=12, Resulting Numbers: [12]
12,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 79:[51, 119], Operations: ['45-5=40', '79+40=119']
Exploring Operation: 119-51=68, Resulting Numbers: [68]
68,79 unequal: No Solution
Exploring Operation: 51*119=6069, Resulting Numbers: [6069]
6069,79 unequal: No Solution
Exploring Operation: 51+119=170, Resulting Numbers: [170]
170,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 79:[51, 39], Operations: ['45-5=40', '79-40=39']
Exploring Operation: 51*39=1989, Resulting Numbers: [1989]
1989,79 unequal: No Solution
Exploring Operation: 51-39=12, Resulting Numbers: [12]
12,79 unequal: No Solution
Exploring Operation: 51+39=90, Resulting Numbers: [90]
90,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 79:[79, 11], Operations: ['45-5=40', '51-40=11']
Exploring Operation: 79-11=68, Resulting Numbers: [68]
68,79 unequal: No Solution
Exploring Operation: 79*11=869, Resulting Numbers: [869]
869,79 unequal: No Solution
Exploring Operation: 79+11=90, Resulting Numbers: [90]
90,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 79:[40, 130], Operations: ['45-5=40', '51+79=130']
Exploring Operation: 40*130=5200, Resulting Numbers: [5200]
5200,79 unequal: No Solution
Exploring Operation: 130-40=90, Resulting Numbers: [90]
90,79 unequal: No Solution
Exploring Operation: 40+130=170, Resulting Numbers: [170]
170,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 79:[45, 79, 46], Operations: ['51-5=46']
Exploring Operation: 46-45=1, Resulting Numbers: [79, 1]
Generated Node #0,4,0: 79:[79, 1] Operation: 46-45=1
Exploring Operation: 45+79=124, Resulting Numbers: [46, 124]
Generated Node #0,4,1: 79:[46, 124] Operation: 45+79=124
Exploring Operation: 79-45=34, Resulting Numbers: [46, 34]
Generated Node #0,4,2: 79:[46, 34] Operation: 79-45=34
Exploring Operation: 45+46=91, Resulting Numbers: [79, 91]
Generated Node #0,4,3: 79:[79, 91] Operation: 45+46=91
Exploring Operation: 79+46=125, Resulting Numbers: [45, 125]
Generated Node #0,4,4: 79:[45, 125] Operation: 79+46=125
Moving to Node #0,4,3
Current State: 79:[79, 91], Operations: ['51-5=46', '45+46=91']
Exploring Operation: 91-79=12, Resulting Numbers: [12]
12,79 unequal: No Solution
Exploring Operation: 79+91=170, Resulting Numbers: [170]
170,79 unequal: No Solution
Exploring Operation: 79*91=7189, Resulting Numbers: [7189]
7189,79 unequal: No Solution
Moving to Node #0,1,4
Current State: 79:[79, 101], Operations: ['45+5=50', '51+50=101']
Exploring Operation: 101-79=22, Resulting Numbers: [22]
22,79 unequal: No Solution
Exploring Operation: 79*101=7979, Resulting Numbers: [7979]
7979,79 unequal: No Solution
Exploring Operation: 79+101=180, Resulting Numbers: [180]
180,79 unequal: No Solution
Moving to Node #0,4,0
Current State: 79:[79, 1], Operations: ['51-5=46', '46-45=1']
Exploring Operation: 79/1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[45, 5, 51, 79], Operations: []
Exploring Operation: 51-5=46, Resulting Numbers: [45, 79, 46]
Generated Node #0,4: 79:[45, 79, 46] Operation: 51-5=46
Moving to Node #0,4
Current State: 79:[45, 79, 46], Operations: ['51-5=46']
Exploring Operation: 46-45=1, Resulting Numbers: [79, 1]
Generated Node #0,4,0: 79:[79, 1] Operation: 46-45=1
Moving to Node #0,4,0
Current State: 79:[79, 1], Operations: ['51-5=46', '46-45=1']
Exploring Operation: 79/1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 0.923611 |
hs_5
|
sum_heuristic
|
[
12,
36,
33,
77
] | 20 |
[
"36-12=24",
"77-33=44",
"44-24=20"
] |
Current State: 20:[12, 36, 33, 77], Operations: []
Exploring Operation: 36-12=24, Resulting Numbers: [33, 77, 24]
Generated Node #2: [33, 77, 24] from Operation: 36-12=24
Current State: 20:[33, 77, 24], Operations: ['36-12=24']
Exploring Operation: 77-33=44, Resulting Numbers: [24, 44]
Generated Node #3: [24, 44] from Operation: 77-33=44
Current State: 20:[24, 44], Operations: ['36-12=24', '77-33=44']
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
Current State: 20:[12, 36, 33, 77], Operations: []
Exploring Operation: 77-33=44, Resulting Numbers: [12, 36, 44]
Generated Node #0,0: 20:[12, 36, 44] Operation: 77-33=44
Exploring Operation: 36-33=3, Resulting Numbers: [12, 77, 3]
Generated Node #0,1: 20:[12, 77, 3] Operation: 36-33=3
Exploring Operation: 77-36=41, Resulting Numbers: [12, 33, 41]
Generated Node #0,2: 20:[12, 33, 41] Operation: 77-36=41
Moving to Node #0,2
Current State: 20:[12, 33, 41], Operations: ['77-36=41']
Exploring Operation: 33-12=21, Resulting Numbers: [41, 21]
Generated Node #0,2,0: 20:[41, 21] Operation: 33-12=21
Exploring Operation: 41-12=29, Resulting Numbers: [33, 29]
Generated Node #0,2,1: 20:[33, 29] Operation: 41-12=29
Exploring Operation: 41-33=8, Resulting Numbers: [12, 8]
Generated Node #0,2,2: 20:[12, 8] Operation: 41-33=8
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 20:[12, 8], Operations: ['77-36=41', '41-33=8']
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,20 unequal: No Solution
Exploring Operation: 12+8=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[12, 36, 33, 77], Operations: []
Exploring Operation: 77-36=41, Resulting Numbers: [12, 33, 41]
Generated Node #0,2: 20:[12, 33, 41] Operation: 77-36=41
Moving to Node #0,2
Current State: 20:[12, 33, 41], Operations: ['77-36=41']
Exploring Operation: 41-33=8, Resulting Numbers: [12, 8]
Generated Node #0,2,2: 20:[12, 8] Operation: 41-33=8
Moving to Node #0,2,2
Current State: 20:[12, 8], Operations: ['77-36=41', '41-33=8']
Exploring Operation: 12+8=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 |
hs_3
|
sum_heuristic
|
[
84,
1,
74,
89
] | 68 |
[
"84-1=83",
"89-74=15",
"83-15=68"
] |
Current State: 68:[84, 1, 74, 89], Operations: []
Exploring Operation: 84-1=83, Resulting Numbers: [74, 89, 83]
Generated Node #2: [74, 89, 83] from Operation: 84-1=83
Current State: 68:[74, 89, 83], Operations: ['84-1=83']
Exploring Operation: 89-74=15, Resulting Numbers: [83, 15]
Generated Node #3: [83, 15] from Operation: 89-74=15
Current State: 68:[83, 15], Operations: ['84-1=83', '89-74=15']
Exploring Operation: 83-15=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
Current State: 68:[84, 1, 74, 89], Operations: []
Exploring Operation: 89-74=15, Resulting Numbers: [84, 1, 15]
Generated Node #0,0: 68:[84, 1, 15] Operation: 89-74=15
Exploring Operation: 84-1=83, Resulting Numbers: [74, 89, 83]
Generated Node #0,1: 68:[74, 89, 83] Operation: 84-1=83
Exploring Operation: 84-74=10, Resulting Numbers: [1, 89, 10]
Generated Node #0,2: 68:[1, 89, 10] Operation: 84-74=10
Exploring Operation: 74-1=73, Resulting Numbers: [84, 89, 73]
Generated Node #0,3: 68:[84, 89, 73] Operation: 74-1=73
Exploring Operation: 89-84=5, Resulting Numbers: [1, 74, 5]
Generated Node #0,4: 68:[1, 74, 5] Operation: 89-84=5
Moving to Node #0,4
Current State: 68:[1, 74, 5], Operations: ['89-84=5']
Exploring Operation: 74-5=69, Resulting Numbers: [1, 69]
Generated Node #0,4,0: 68:[1, 69] Operation: 74-5=69
Exploring Operation: 1*74=74, Resulting Numbers: [5, 74]
Generated Node #0,4,1: 68:[5, 74] Operation: 1*74=74
Exploring Operation: 74-1=73, Resulting Numbers: [5, 73]
Generated Node #0,4,2: 68:[5, 73] Operation: 74-1=73
Exploring Operation: 5-1=4, Resulting Numbers: [74, 4]
Generated Node #0,4,3: 68:[74, 4] Operation: 5-1=4
Exploring Operation: 74/1=74, Resulting Numbers: [5, 74]
Generated Node #0,4,4: 68:[5, 74] Operation: 74/1=74
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 68:[1, 69], Operations: ['89-84=5', '74-5=69']
Exploring Operation: 69/1=69, Resulting Numbers: [69]
69,68 unequal: No Solution
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[84, 1, 74, 89], Operations: []
Exploring Operation: 89-84=5, Resulting Numbers: [1, 74, 5]
Generated Node #0,4: 68:[1, 74, 5] Operation: 89-84=5
Moving to Node #0,4
Current State: 68:[1, 74, 5], Operations: ['89-84=5']
Exploring Operation: 74-5=69, Resulting Numbers: [1, 69]
Generated Node #0,4,0: 68:[1, 69] Operation: 74-5=69
Moving to Node #0,4,0
Current State: 68:[1, 69], Operations: ['89-84=5', '74-5=69']
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 |
hs_5
|
sum_heuristic
|
[
4,
57,
37,
23
] | 17 |
[
"57+23=80",
"80/4=20",
"37-20=17"
] |
Current State: 17:[4, 57, 37, 23], Operations: []
Exploring Operation: 57+23=80, Resulting Numbers: [4, 37, 80]
Generated Node #2: [4, 37, 80] from Operation: 57+23=80
Current State: 17:[4, 37, 80], Operations: ['57+23=80']
Exploring Operation: 80/4=20, Resulting Numbers: [37, 20]
Generated Node #3: [37, 20] from Operation: 80/4=20
Current State: 17:[37, 20], Operations: ['57+23=80', '80/4=20']
Exploring Operation: 37-20=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
Current State: 17:[4, 57, 37, 23], Operations: []
Exploring Operation: 57-37=20, Resulting Numbers: [4, 23, 20]
Generated Node #0,0: 17:[4, 23, 20] Operation: 57-37=20
Exploring Operation: 37-23=14, Resulting Numbers: [4, 57, 14]
Generated Node #0,1: 17:[4, 57, 14] Operation: 37-23=14
Exploring Operation: 57-4=53, Resulting Numbers: [37, 23, 53]
Generated Node #0,2: 17:[37, 23, 53] Operation: 57-4=53
Exploring Operation: 57-23=34, Resulting Numbers: [4, 37, 34]
Generated Node #0,3: 17:[4, 37, 34] Operation: 57-23=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[4, 23, 20], Operations: ['57-37=20']
Exploring Operation: 4+23=27, Resulting Numbers: [20, 27]
Generated Node #0,0,0: 17:[20, 27] Operation: 4+23=27
Exploring Operation: 4+20=24, Resulting Numbers: [23, 24]
Generated Node #0,0,1: 17:[23, 24] Operation: 4+20=24
Exploring Operation: 23-4=19, Resulting Numbers: [20, 19]
Generated Node #0,0,2: 17:[20, 19] Operation: 23-4=19
Exploring Operation: 20-4=16, Resulting Numbers: [23, 16]
Generated Node #0,0,3: 17:[23, 16] Operation: 20-4=16
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 17:[20, 19], Operations: ['57-37=20', '23-4=19']
Exploring Operation: 20*19=380, Resulting Numbers: [380]
380,17 unequal: No Solution
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,17 unequal: No Solution
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 17:[23, 16], Operations: ['57-37=20', '20-4=16']
Exploring Operation: 23*16=368, Resulting Numbers: [368]
368,17 unequal: No Solution
Exploring Operation: 23+16=39, Resulting Numbers: [39]
39,17 unequal: No Solution
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 17:[20, 27], Operations: ['57-37=20', '4+23=27']
Exploring Operation: 20*27=540, Resulting Numbers: [540]
540,17 unequal: No Solution
Exploring Operation: 27-20=7, Resulting Numbers: [7]
7,17 unequal: No Solution
Exploring Operation: 20+27=47, Resulting Numbers: [47]
47,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 17:[23, 24], Operations: ['57-37=20', '4+20=24']
Exploring Operation: 23*24=552, Resulting Numbers: [552]
552,17 unequal: No Solution
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,17 unequal: No Solution
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 17:[4, 37, 34], Operations: ['57-23=34']
Exploring Operation: 34-4=30, Resulting Numbers: [37, 30]
Generated Node #0,3,0: 17:[37, 30] Operation: 34-4=30
Exploring Operation: 4+37=41, Resulting Numbers: [34, 41]
Generated Node #0,3,1: 17:[34, 41] Operation: 4+37=41
Exploring Operation: 37-34=3, Resulting Numbers: [4, 3]
Generated Node #0,3,2: 17:[4, 3] Operation: 37-34=3
Exploring Operation: 37-4=33, Resulting Numbers: [34, 33]
Generated Node #0,3,3: 17:[34, 33] Operation: 37-4=33
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 17:[4, 3], Operations: ['57-23=34', '37-34=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,17 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,17 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 17:[37, 30], Operations: ['57-23=34', '34-4=30']
Exploring Operation: 37+30=67, Resulting Numbers: [67]
67,17 unequal: No Solution
Exploring Operation: 37*30=1110, Resulting Numbers: [1110]
1110,17 unequal: No Solution
Exploring Operation: 37-30=7, Resulting Numbers: [7]
7,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 17:[34, 33], Operations: ['57-23=34', '37-4=33']
Exploring Operation: 34+33=67, Resulting Numbers: [67]
67,17 unequal: No Solution
Exploring Operation: 34-33=1, Resulting Numbers: [1]
1,17 unequal: No Solution
Exploring Operation: 34*33=1122, Resulting Numbers: [1122]
1122,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 17:[34, 41], Operations: ['57-23=34', '4+37=41']
Exploring Operation: 34*41=1394, Resulting Numbers: [1394]
1394,17 unequal: No Solution
Exploring Operation: 34+41=75, Resulting Numbers: [75]
75,17 unequal: No Solution
Exploring Operation: 41-34=7, Resulting Numbers: [7]
7,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 17:[4, 57, 14], Operations: ['37-23=14']
Exploring Operation: 4+57=61, Resulting Numbers: [14, 61]
Generated Node #0,1,0: 17:[14, 61] Operation: 4+57=61
Exploring Operation: 57-4=53, Resulting Numbers: [14, 53]
Generated Node #0,1,1: 17:[14, 53] Operation: 57-4=53
Exploring Operation: 57-14=43, Resulting Numbers: [4, 43]
Generated Node #0,1,2: 17:[4, 43] Operation: 57-14=43
Exploring Operation: 4+14=18, Resulting Numbers: [57, 18]
Generated Node #0,1,3: 17:[57, 18] Operation: 4+14=18
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 17:[14, 53], Operations: ['37-23=14', '57-4=53']
Exploring Operation: 14*53=742, Resulting Numbers: [742]
742,17 unequal: No Solution
Exploring Operation: 14+53=67, Resulting Numbers: [67]
67,17 unequal: No Solution
Exploring Operation: 53-14=39, Resulting Numbers: [39]
39,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 17:[4, 43], Operations: ['37-23=14', '57-14=43']
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,17 unequal: No Solution
Exploring Operation: 4+43=47, Resulting Numbers: [47]
47,17 unequal: No Solution
Exploring Operation: 4*43=172, Resulting Numbers: [172]
172,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 17:[57, 18], Operations: ['37-23=14', '4+14=18']
Exploring Operation: 57*18=1026, Resulting Numbers: [1026]
1026,17 unequal: No Solution
Exploring Operation: 57+18=75, Resulting Numbers: [75]
75,17 unequal: No Solution
Exploring Operation: 57-18=39, Resulting Numbers: [39]
39,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 17:[14, 61], Operations: ['37-23=14', '4+57=61']
Exploring Operation: 14+61=75, Resulting Numbers: [75]
75,17 unequal: No Solution
Exploring Operation: 61-14=47, Resulting Numbers: [47]
47,17 unequal: No Solution
Exploring Operation: 14*61=854, Resulting Numbers: [854]
854,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 17:[37, 23, 53], Operations: ['57-4=53']
Exploring Operation: 37-23=14, Resulting Numbers: [53, 14]
Generated Node #0,2,0: 17:[53, 14] Operation: 37-23=14
Exploring Operation: 37+23=60, Resulting Numbers: [53, 60]
Generated Node #0,2,1: 17:[53, 60] Operation: 37+23=60
Exploring Operation: 53-23=30, Resulting Numbers: [37, 30]
Generated Node #0,2,2: 17:[37, 30] Operation: 53-23=30
Exploring Operation: 53-37=16, Resulting Numbers: [23, 16]
Generated Node #0,2,3: 17:[23, 16] Operation: 53-37=16
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 17:[23, 16], Operations: ['57-4=53', '53-37=16']
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,17 unequal: No Solution
Exploring Operation: 23+16=39, Resulting Numbers: [39]
39,17 unequal: No Solution
Exploring Operation: 23*16=368, Resulting Numbers: [368]
368,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 17:[37, 30], Operations: ['57-4=53', '53-23=30']
Exploring Operation: 37*30=1110, Resulting Numbers: [1110]
1110,17 unequal: No Solution
Exploring Operation: 37+30=67, Resulting Numbers: [67]
67,17 unequal: No Solution
Exploring Operation: 37-30=7, Resulting Numbers: [7]
7,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 17:[53, 14], Operations: ['57-4=53', '37-23=14']
Exploring Operation: 53-14=39, Resulting Numbers: [39]
39,17 unequal: No Solution
Exploring Operation: 53+14=67, Resulting Numbers: [67]
67,17 unequal: No Solution
Exploring Operation: 53*14=742, Resulting Numbers: [742]
742,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 17:[53, 60], Operations: ['57-4=53', '37+23=60']
Exploring Operation: 60-53=7, Resulting Numbers: [7]
7,17 unequal: No Solution
Exploring Operation: 53+60=113, Resulting Numbers: [113]
113,17 unequal: No Solution
Exploring Operation: 53*60=3180, Resulting Numbers: [3180]
3180,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
78,
46,
66,
33
] | 67 |
[
"78-46=32",
"66+33=99",
"99-32=67"
] |
Current State: 67:[78, 46, 66, 33], Operations: []
Exploring Operation: 78-46=32, Resulting Numbers: [66, 33, 32]
Generated Node #2: [66, 33, 32] from Operation: 78-46=32
Current State: 67:[66, 33, 32], Operations: ['78-46=32']
Exploring Operation: 66+33=99, Resulting Numbers: [32, 99]
Generated Node #3: [32, 99] from Operation: 66+33=99
Current State: 67:[32, 99], Operations: ['78-46=32', '66+33=99']
Exploring Operation: 99-32=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
Current State: 67:[78, 46, 66, 33], Operations: []
Exploring Operation: 78-33=45, Resulting Numbers: [46, 66, 45]
Generated Node #0,0: 67:[46, 66, 45] Operation: 78-33=45
Exploring Operation: 46+33=79, Resulting Numbers: [78, 66, 79]
Generated Node #0,1: 67:[78, 66, 79] Operation: 46+33=79
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[78, 66, 79], Operations: ['46+33=79']
Exploring Operation: 78-66=12, Resulting Numbers: [79, 12]
Generated Node #0,1,0: 67:[79, 12] Operation: 78-66=12
Exploring Operation: 79-66=13, Resulting Numbers: [78, 13]
Generated Node #0,1,1: 67:[78, 13] Operation: 79-66=13
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 67:[78, 13], Operations: ['46+33=79', '79-66=13']
Exploring Operation: 78+13=91, Resulting Numbers: [91]
91,67 unequal: No Solution
Exploring Operation: 78-13=65, Resulting Numbers: [65]
65,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 67:[79, 12], Operations: ['46+33=79', '78-66=12']
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[78, 46, 66, 33], Operations: []
Exploring Operation: 46+33=79, Resulting Numbers: [78, 66, 79]
Generated Node #0,1: 67:[78, 66, 79] Operation: 46+33=79
Moving to Node #0,1
Current State: 67:[78, 66, 79], Operations: ['46+33=79']
Exploring Operation: 78-66=12, Resulting Numbers: [79, 12]
Generated Node #0,1,0: 67:[79, 12] Operation: 78-66=12
Moving to Node #0,1,0
Current State: 67:[79, 12], Operations: ['46+33=79', '78-66=12']
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 |
hs_2
|
mult_heuristic
|
[
54,
11,
38,
13
] | 33 |
[
"54+11=65",
"65/13=5",
"38-5=33"
] |
Current State: 33:[54, 11, 38, 13], Operations: []
Exploring Operation: 54+11=65, Resulting Numbers: [38, 13, 65]
Generated Node #2: [38, 13, 65] from Operation: 54+11=65
Current State: 33:[38, 13, 65], Operations: ['54+11=65']
Exploring Operation: 65/13=5, Resulting Numbers: [38, 5]
Generated Node #3: [38, 5] from Operation: 65/13=5
Current State: 33:[38, 5], Operations: ['54+11=65', '65/13=5']
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
Current State: 33:[54, 11, 38, 13], Operations: []
Exploring Operation: 54-13=41, Resulting Numbers: [11, 38, 41]
Generated Node #0,0: 33:[11, 38, 41] Operation: 54-13=41
Exploring Operation: 54-11=43, Resulting Numbers: [38, 13, 43]
Generated Node #0,1: 33:[38, 13, 43] Operation: 54-11=43
Exploring Operation: 54-38=16, Resulting Numbers: [11, 13, 16]
Generated Node #0,2: 33:[11, 13, 16] Operation: 54-38=16
Start Sub Search at level 1: Moving to Node #0,2
Current State: 33:[11, 13, 16], Operations: ['54-38=16']
Exploring Operation: 13+16=29, Resulting Numbers: [11, 29]
Generated Node #0,2,0: 33:[11, 29] Operation: 13+16=29
Exploring Operation: 16-13=3, Resulting Numbers: [11, 3]
Generated Node #0,2,1: 33:[11, 3] Operation: 16-13=3
Exploring Operation: 16-11=5, Resulting Numbers: [13, 5]
Generated Node #0,2,2: 33:[13, 5] Operation: 16-11=5
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 33:[11, 3], Operations: ['54-38=16', '16-13=3']
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,33 unequal: No Solution
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[54, 11, 38, 13], Operations: []
Exploring Operation: 54-38=16, Resulting Numbers: [11, 13, 16]
Generated Node #0,2: 33:[11, 13, 16] Operation: 54-38=16
Moving to Node #0,2
Current State: 33:[11, 13, 16], Operations: ['54-38=16']
Exploring Operation: 16-13=3, Resulting Numbers: [11, 3]
Generated Node #0,2,1: 33:[11, 3] Operation: 16-13=3
Moving to Node #0,2,1
Current State: 33:[11, 3], Operations: ['54-38=16', '16-13=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 |
hs_3
|
sum_heuristic
|
[
57,
45,
87,
59
] | 84 |
[
"59-57=2",
"87-45=42",
"2*42=84"
] |
Current State: 84:[57, 45, 87, 59], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [45, 87, 2]
Generated Node #2: [45, 87, 2] from Operation: 59-57=2
Current State: 84:[45, 87, 2], Operations: ['59-57=2']
Exploring Operation: 87-45=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 87-45=42
Current State: 84:[2, 42], Operations: ['59-57=2', '87-45=42']
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
Current State: 84:[57, 45, 87, 59], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [45, 87, 2]
Generated Node #0,0: 84:[45, 87, 2] Operation: 59-57=2
Moving to Node #0,0
Current State: 84:[45, 87, 2], Operations: ['59-57=2']
Exploring Operation: 87-45=42, Resulting Numbers: [2, 42]
Generated Node #0,0,0: 84:[2, 42] Operation: 87-45=42
Moving to Node #0,0,0
Current State: 84:[2, 42], Operations: ['59-57=2', '87-45=42']
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[57, 45, 87, 59], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [45, 87, 2]
Generated Node #0,0: 84:[45, 87, 2] Operation: 59-57=2
Moving to Node #0,0
Current State: 84:[45, 87, 2], Operations: ['59-57=2']
Exploring Operation: 87-45=42, Resulting Numbers: [2, 42]
Generated Node #0,0,0: 84:[2, 42] Operation: 87-45=42
Moving to Node #0,0,0
Current State: 84:[2, 42], Operations: ['59-57=2', '87-45=42']
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 0.993924 |
hs_1
|
mult_heuristic
|
[
55,
27,
49,
53
] | 26 |
[
"27*49=1323",
"55+1323=1378",
"1378/53=26"
] |
Current State: 26:[55, 27, 49, 53], Operations: []
Exploring Operation: 27*49=1323, Resulting Numbers: [55, 53, 1323]
Generated Node #2: [55, 53, 1323] from Operation: 27*49=1323
Current State: 26:[55, 53, 1323], Operations: ['27*49=1323']
Exploring Operation: 55+1323=1378, Resulting Numbers: [53, 1378]
Generated Node #3: [53, 1378] from Operation: 55+1323=1378
Current State: 26:[53, 1378], Operations: ['27*49=1323', '55+1323=1378']
Exploring Operation: 1378/53=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
Current State: 26:[55, 27, 49, 53], Operations: []
Exploring Operation: 53-49=4, Resulting Numbers: [55, 27, 4]
Generated Node #0,0: 26:[55, 27, 4] Operation: 53-49=4
Exploring Operation: 55-49=6, Resulting Numbers: [27, 53, 6]
Generated Node #0,1: 26:[27, 53, 6] Operation: 55-49=6
Exploring Operation: 55-53=2, Resulting Numbers: [27, 49, 2]
Generated Node #0,2: 26:[27, 49, 2] Operation: 55-53=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 26:[27, 49, 2], Operations: ['55-53=2']
Exploring Operation: 27-2=25, Resulting Numbers: [49, 25]
Generated Node #0,2,0: 26:[49, 25] Operation: 27-2=25
Exploring Operation: 49-27=22, Resulting Numbers: [2, 22]
Generated Node #0,2,1: 26:[2, 22] Operation: 49-27=22
Exploring Operation: 49-2=47, Resulting Numbers: [27, 47]
Generated Node #0,2,2: 26:[27, 47] Operation: 49-2=47
Moving to Node #0,2,1
Current State: 26:[2, 22], Operations: ['55-53=2', '49-27=22']
Exploring Operation: 2+22=24, Resulting Numbers: [24]
24,26 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,26 unequal: No Solution
Moving to Node #0,2,2
Current State: 26:[27, 47], Operations: ['55-53=2', '49-2=47']
Exploring Operation: 27*47=1269, Resulting Numbers: [1269]
1269,26 unequal: No Solution
Exploring Operation: 27+47=74, Resulting Numbers: [74]
74,26 unequal: No Solution
Exploring Operation: 47-27=20, Resulting Numbers: [20]
20,26 unequal: No Solution
Moving to Node #0,2,0
Current State: 26:[49, 25], Operations: ['55-53=2', '27-2=25']
Exploring Operation: 49+25=74, Resulting Numbers: [74]
74,26 unequal: No Solution
Exploring Operation: 49-25=24, Resulting Numbers: [24]
24,26 unequal: No Solution
Exploring Operation: 49*25=1225, Resulting Numbers: [1225]
1225,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[55, 27, 4], Operations: ['53-49=4']
Exploring Operation: 27-4=23, Resulting Numbers: [55, 23]
Generated Node #0,0,0: 26:[55, 23] Operation: 27-4=23
Exploring Operation: 55-27=28, Resulting Numbers: [4, 28]
Generated Node #0,0,1: 26:[4, 28] Operation: 55-27=28
Exploring Operation: 55-4=51, Resulting Numbers: [27, 51]
Generated Node #0,0,2: 26:[27, 51] Operation: 55-4=51
Moving to Node #0,0,1
Current State: 26:[4, 28], Operations: ['53-49=4', '55-27=28']
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,26 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,26 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,26 unequal: No Solution
Moving to Node #0,0,2
Current State: 26:[27, 51], Operations: ['53-49=4', '55-4=51']
Exploring Operation: 51-27=24, Resulting Numbers: [24]
24,26 unequal: No Solution
Exploring Operation: 27+51=78, Resulting Numbers: [78]
78,26 unequal: No Solution
Exploring Operation: 27*51=1377, Resulting Numbers: [1377]
1377,26 unequal: No Solution
Moving to Node #0,0,0
Current State: 26:[55, 23], Operations: ['53-49=4', '27-4=23']
Exploring Operation: 55+23=78, Resulting Numbers: [78]
78,26 unequal: No Solution
Exploring Operation: 55*23=1265, Resulting Numbers: [1265]
1265,26 unequal: No Solution
Exploring Operation: 55-23=32, Resulting Numbers: [32]
32,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[27, 53, 6], Operations: ['55-49=6']
Exploring Operation: 27-6=21, Resulting Numbers: [53, 21]
Generated Node #0,1,0: 26:[53, 21] Operation: 27-6=21
Exploring Operation: 53-6=47, Resulting Numbers: [27, 47]
Generated Node #0,1,1: 26:[27, 47] Operation: 53-6=47
Exploring Operation: 53-27=26, Resulting Numbers: [6, 26]
Generated Node #0,1,2: 26:[6, 26] Operation: 53-27=26
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 26:[6, 26], Operations: ['55-49=6', '53-27=26']
Exploring Operation: 6*26=156, Resulting Numbers: [156]
156,26 unequal: No Solution
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,26 unequal: No Solution
Exploring Operation: 6+26=32, Resulting Numbers: [32]
32,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 26:[27, 47], Operations: ['55-49=6', '53-6=47']
Exploring Operation: 27+47=74, Resulting Numbers: [74]
74,26 unequal: No Solution
Exploring Operation: 27*47=1269, Resulting Numbers: [1269]
1269,26 unequal: No Solution
Exploring Operation: 47-27=20, Resulting Numbers: [20]
20,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 26:[53, 21], Operations: ['55-49=6', '27-6=21']
Exploring Operation: 53*21=1113, Resulting Numbers: [1113]
1113,26 unequal: No Solution
Exploring Operation: 53+21=74, Resulting Numbers: [74]
74,26 unequal: No Solution
Exploring Operation: 53-21=32, Resulting Numbers: [32]
32,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
20,
81,
32,
27
] | 76 |
[
"81*32=2592",
"2592/27=96",
"96-20=76"
] |
Current State: 76:[20, 81, 32, 27], Operations: []
Exploring Operation: 81*32=2592, Resulting Numbers: [20, 27, 2592]
Generated Node #2: [20, 27, 2592] from Operation: 81*32=2592
Current State: 76:[20, 27, 2592], Operations: ['81*32=2592']
Exploring Operation: 2592/27=96, Resulting Numbers: [20, 96]
Generated Node #3: [20, 96] from Operation: 2592/27=96
Current State: 76:[20, 96], Operations: ['81*32=2592', '2592/27=96']
Exploring Operation: 96-20=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
Current State: 76:[20, 81, 32, 27], Operations: []
Exploring Operation: 32-27=5, Resulting Numbers: [20, 81, 5]
Generated Node #0,0: 76:[20, 81, 5] Operation: 32-27=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[20, 81, 5], Operations: ['32-27=5']
Exploring Operation: 81-5=76, Resulting Numbers: [20, 76]
Generated Node #0,0,0: 76:[20, 76] Operation: 81-5=76
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[20, 76], Operations: ['32-27=5', '81-5=76']
Exploring Operation: 76-20=56, Resulting Numbers: [56]
56,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
19,
55,
19,
20
] | 74 |
[
"19+55=74",
"20-19=1",
"74*1=74"
] |
Current State: 74:[19, 55, 19, 20], Operations: []
Exploring Operation: 19+55=74, Resulting Numbers: [20, 74]
Generated Node #2: [20, 74] from Operation: 19+55=74
Current State: 74:[20, 74], Operations: ['19+55=74']
Exploring Operation: 20-19=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 20-19=1
Current State: 74:[74, 1], Operations: ['19+55=74', '20-19=1']
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
Current State: 74:[19, 55, 19, 20], Operations: []
Exploring Operation: 19+55=74, Resulting Numbers: [19, 20, 74]
Generated Node #0,0: 74:[19, 20, 74] Operation: 19+55=74
Exploring Operation: 55-19=36, Resulting Numbers: [19, 20, 36]
Generated Node #0,1: 74:[19, 20, 36] Operation: 55-19=36
Exploring Operation: 55+19=74, Resulting Numbers: [19, 20, 74]
Generated Node #0,2: 74:[19, 20, 74] Operation: 55+19=74
Exploring Operation: 55-19=36, Resulting Numbers: [19, 20, 36]
Generated Node #0,3: 74:[19, 20, 36] Operation: 55-19=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[19, 20, 74], Operations: ['19+55=74']
Exploring Operation: 74-20=54, Resulting Numbers: [19, 54]
Generated Node #0,0,0: 74:[19, 54] Operation: 74-20=54
Exploring Operation: 19+20=39, Resulting Numbers: [74, 39]
Generated Node #0,0,1: 74:[74, 39] Operation: 19+20=39
Exploring Operation: 74-19=55, Resulting Numbers: [20, 55]
Generated Node #0,0,2: 74:[20, 55] Operation: 74-19=55
Exploring Operation: 20-19=1, Resulting Numbers: [74, 1]
Generated Node #0,0,3: 74:[74, 1] Operation: 20-19=1
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 74:[74, 1], Operations: ['19+55=74', '20-19=1']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,74 unequal: No Solution
Exploring Operation: 74+1=75, Resulting Numbers: [75]
75,74 unequal: No Solution
Exploring Operation: 74/1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[19, 55, 19, 20], Operations: []
Exploring Operation: 19+55=74, Resulting Numbers: [19, 20, 74]
Generated Node #0,0: 74:[19, 20, 74] Operation: 19+55=74
Moving to Node #0,0
Current State: 74:[19, 20, 74], Operations: ['19+55=74']
Exploring Operation: 20-19=1, Resulting Numbers: [74, 1]
Generated Node #0,0,3: 74:[74, 1] Operation: 20-19=1
Moving to Node #0,0,3
Current State: 74:[74, 1], Operations: ['19+55=74', '20-19=1']
Exploring Operation: 74/1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 |
hs_4
|
sum_heuristic
|
[
27,
51,
33,
63
] | 42 |
[
"51-33=18",
"63*18=1134",
"1134/27=42"
] |
Current State: 42:[27, 51, 33, 63], Operations: []
Exploring Operation: 51-33=18, Resulting Numbers: [27, 63, 18]
Generated Node #2: [27, 63, 18] from Operation: 51-33=18
Current State: 42:[27, 63, 18], Operations: ['51-33=18']
Exploring Operation: 63*18=1134, Resulting Numbers: [27, 1134]
Generated Node #3: [27, 1134] from Operation: 63*18=1134
Current State: 42:[27, 1134], Operations: ['51-33=18', '63*18=1134']
Exploring Operation: 1134/27=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
Current State: 42:[27, 51, 33, 63], Operations: []
Exploring Operation: 63-33=30, Resulting Numbers: [27, 51, 30]
Generated Node #0,0: 42:[27, 51, 30] Operation: 63-33=30
Exploring Operation: 63-51=12, Resulting Numbers: [27, 33, 12]
Generated Node #0,1: 42:[27, 33, 12] Operation: 63-51=12
Exploring Operation: 63-27=36, Resulting Numbers: [51, 33, 36]
Generated Node #0,2: 42:[51, 33, 36] Operation: 63-27=36
Start Sub Search at level 1: Moving to Node #0,1
Current State: 42:[27, 33, 12], Operations: ['63-51=12']
Exploring Operation: 33+12=45, Resulting Numbers: [27, 45]
Generated Node #0,1,0: 42:[27, 45] Operation: 33+12=45
Exploring Operation: 33-27=6, Resulting Numbers: [12, 6]
Generated Node #0,1,1: 42:[12, 6] Operation: 33-27=6
Exploring Operation: 33-12=21, Resulting Numbers: [27, 21]
Generated Node #0,1,2: 42:[27, 21] Operation: 33-12=21
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 42:[12, 6], Operations: ['63-51=12', '33-27=6']
Exploring Operation: 12+6=18, Resulting Numbers: [18]
18,42 unequal: No Solution
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,42 unequal: No Solution
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 42:[27, 21], Operations: ['63-51=12', '33-12=21']
Exploring Operation: 27-21=6, Resulting Numbers: [6]
6,42 unequal: No Solution
Exploring Operation: 27+21=48, Resulting Numbers: [48]
48,42 unequal: No Solution
Exploring Operation: 27*21=567, Resulting Numbers: [567]
567,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 42:[27, 45], Operations: ['63-51=12', '33+12=45']
Exploring Operation: 45-27=18, Resulting Numbers: [18]
18,42 unequal: No Solution
Exploring Operation: 27+45=72, Resulting Numbers: [72]
72,42 unequal: No Solution
Exploring Operation: 27*45=1215, Resulting Numbers: [1215]
1215,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[27, 51, 30], Operations: ['63-33=30']
Exploring Operation: 51-30=21, Resulting Numbers: [27, 21]
Generated Node #0,0,0: 42:[27, 21] Operation: 51-30=21
Exploring Operation: 30-27=3, Resulting Numbers: [51, 3]
Generated Node #0,0,1: 42:[51, 3] Operation: 30-27=3
Exploring Operation: 51-27=24, Resulting Numbers: [30, 24]
Generated Node #0,0,2: 42:[30, 24] Operation: 51-27=24
Moving to Node #0,0,0
Current State: 42:[27, 21], Operations: ['63-33=30', '51-30=21']
Exploring Operation: 27-21=6, Resulting Numbers: [6]
6,42 unequal: No Solution
Exploring Operation: 27+21=48, Resulting Numbers: [48]
48,42 unequal: No Solution
Exploring Operation: 27*21=567, Resulting Numbers: [567]
567,42 unequal: No Solution
Moving to Node #0,0,1
Current State: 42:[51, 3], Operations: ['63-33=30', '30-27=3']
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,42 unequal: No Solution
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,42 unequal: No Solution
Exploring Operation: 51+3=54, Resulting Numbers: [54]
54,42 unequal: No Solution
Moving to Node #0,0,2
Current State: 42:[30, 24], Operations: ['63-33=30', '51-27=24']
Exploring Operation: 30+24=54, Resulting Numbers: [54]
54,42 unequal: No Solution
Exploring Operation: 30*24=720, Resulting Numbers: [720]
720,42 unequal: No Solution
Exploring Operation: 30-24=6, Resulting Numbers: [6]
6,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 42:[51, 33, 36], Operations: ['63-27=36']
Exploring Operation: 51-33=18, Resulting Numbers: [36, 18]
Generated Node #0,2,0: 42:[36, 18] Operation: 51-33=18
Exploring Operation: 51-36=15, Resulting Numbers: [33, 15]
Generated Node #0,2,1: 42:[33, 15] Operation: 51-36=15
Exploring Operation: 36-33=3, Resulting Numbers: [51, 3]
Generated Node #0,2,2: 42:[51, 3] Operation: 36-33=3
Moving to Node #0,2,0
Current State: 42:[36, 18], Operations: ['63-27=36', '51-33=18']
Exploring Operation: 36/18=2, Resulting Numbers: [2]
2,42 unequal: No Solution
Exploring Operation: 36+18=54, Resulting Numbers: [54]
54,42 unequal: No Solution
Exploring Operation: 36-18=18, Resulting Numbers: [18]
18,42 unequal: No Solution
Moving to Node #0,2,2
Current State: 42:[51, 3], Operations: ['63-27=36', '36-33=3']
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,42 unequal: No Solution
Exploring Operation: 51+3=54, Resulting Numbers: [54]
54,42 unequal: No Solution
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,42 unequal: No Solution
Moving to Node #0,2,1
Current State: 42:[33, 15], Operations: ['63-27=36', '51-36=15']
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,42 unequal: No Solution
Exploring Operation: 33*15=495, Resulting Numbers: [495]
495,42 unequal: No Solution
Exploring Operation: 33+15=48, Resulting Numbers: [48]
48,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
32,
45,
85,
72
] | 65 |
[
"32*45=1440",
"1440/72=20",
"85-20=65"
] |
Current State: 65:[32, 45, 85, 72], Operations: []
Exploring Operation: 32*45=1440, Resulting Numbers: [85, 72, 1440]
Generated Node #2: [85, 72, 1440] from Operation: 32*45=1440
Current State: 65:[85, 72, 1440], Operations: ['32*45=1440']
Exploring Operation: 1440/72=20, Resulting Numbers: [85, 20]
Generated Node #3: [85, 20] from Operation: 1440/72=20
Current State: 65:[85, 20], Operations: ['32*45=1440', '1440/72=20']
Exploring Operation: 85-20=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
Current State: 65:[32, 45, 85, 72], Operations: []
Exploring Operation: 45-32=13, Resulting Numbers: [85, 72, 13]
Generated Node #0,0: 65:[85, 72, 13] Operation: 45-32=13
Moving to Node #0,0
Current State: 65:[85, 72, 13], Operations: ['45-32=13']
Exploring Operation: 85-72=13, Resulting Numbers: [13, 13]
Generated Node #0,0,0: 65:[13, 13] Operation: 85-72=13
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 65:[13, 13], Operations: ['45-32=13', '85-72=13']
Exploring Operation: 13/13=1, Resulting Numbers: [1]
1,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
1,
21,
28,
82
] | 75 |
[
"1*21=21",
"82-28=54",
"21+54=75"
] |
Current State: 75:[1, 21, 28, 82], Operations: []
Exploring Operation: 1*21=21, Resulting Numbers: [28, 82, 21]
Generated Node #2: [28, 82, 21] from Operation: 1*21=21
Current State: 75:[28, 82, 21], Operations: ['1*21=21']
Exploring Operation: 82-28=54, Resulting Numbers: [21, 54]
Generated Node #3: [21, 54] from Operation: 82-28=54
Current State: 75:[21, 54], Operations: ['1*21=21', '82-28=54']
Exploring Operation: 21+54=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
Current State: 75:[1, 21, 28, 82], Operations: []
Exploring Operation: 28-21=7, Resulting Numbers: [1, 82, 7]
Generated Node #0,0: 75:[1, 82, 7] Operation: 28-21=7
Exploring Operation: 1+21=22, Resulting Numbers: [28, 82, 22]
Generated Node #0,1: 75:[28, 82, 22] Operation: 1+21=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[1, 82, 7], Operations: ['28-21=7']
Exploring Operation: 82-1=81, Resulting Numbers: [7, 81]
Generated Node #0,0,0: 75:[7, 81] Operation: 82-1=81
Exploring Operation: 82-7=75, Resulting Numbers: [1, 75]
Generated Node #0,0,1: 75:[1, 75] Operation: 82-7=75
Moving to Node #0,0,1
Current State: 75:[1, 75], Operations: ['28-21=7', '82-7=75']
Exploring Operation: 1*75=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[1, 21, 28, 82], Operations: []
Exploring Operation: 28-21=7, Resulting Numbers: [1, 82, 7]
Generated Node #0,0: 75:[1, 82, 7] Operation: 28-21=7
Moving to Node #0,0
Current State: 75:[1, 82, 7], Operations: ['28-21=7']
Exploring Operation: 82-7=75, Resulting Numbers: [1, 75]
Generated Node #0,0,1: 75:[1, 75] Operation: 82-7=75
Moving to Node #0,0,1
Current State: 75:[1, 75], Operations: ['28-21=7', '82-7=75']
Exploring Operation: 1*75=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 |
hs_2
|
mult_heuristic
|
[
54,
18,
54,
33
] | 18 |
[
"54-18=36",
"36-33=3",
"54/3=18"
] |
Current State: 18:[54, 18, 54, 33], Operations: []
Exploring Operation: 54-18=36, Resulting Numbers: [33, 36]
Generated Node #2: [33, 36] from Operation: 54-18=36
Current State: 18:[33, 36], Operations: ['54-18=36']
Exploring Operation: 36-33=3, Resulting Numbers: [3]
3,18 equal: Goal Reached
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
Current State: 18:[54, 18, 54, 33], Operations: []
Exploring Operation: 54-33=21, Resulting Numbers: [18, 54, 21]
Generated Node #0,0: 18:[18, 54, 21] Operation: 54-33=21
Exploring Operation: 54-33=21, Resulting Numbers: [54, 18, 21]
Generated Node #0,1: 18:[54, 18, 21] Operation: 54-33=21
Exploring Operation: 54/54=1, Resulting Numbers: [18, 33, 1]
Generated Node #0,2: 18:[18, 33, 1] Operation: 54/54=1
Exploring Operation: 54/18=3, Resulting Numbers: [54, 33, 3]
Generated Node #0,3: 18:[54, 33, 3] Operation: 54/18=3
Exploring Operation: 54-54=0, Resulting Numbers: [18, 33, 0]
Generated Node #0,4: 18:[18, 33, 0] Operation: 54-54=0
Moving to Node #0,2
Current State: 18:[18, 33, 1], Operations: ['54/54=1']
Exploring Operation: 33-18=15, Resulting Numbers: [1, 15]
Generated Node #0,2,0: 18:[1, 15] Operation: 33-18=15
Exploring Operation: 18*1=18, Resulting Numbers: [33, 18]
Generated Node #0,2,1: 18:[33, 18] Operation: 18*1=18
Exploring Operation: 18/1=18, Resulting Numbers: [33, 18]
Generated Node #0,2,2: 18:[33, 18] Operation: 18/1=18
Exploring Operation: 33*1=33, Resulting Numbers: [18, 33]
Generated Node #0,2,3: 18:[18, 33] Operation: 33*1=33
Exploring Operation: 33-1=32, Resulting Numbers: [18, 32]
Generated Node #0,2,4: 18:[18, 32] Operation: 33-1=32
Moving to Node #0,4
Current State: 18:[18, 33, 0], Operations: ['54-54=0']
Exploring Operation: 18-0=18, Resulting Numbers: [33, 18]
Generated Node #0,4,0: 18:[33, 18] Operation: 18-0=18
Exploring Operation: 33*0=0, Resulting Numbers: [18, 0]
Generated Node #0,4,1: 18:[18, 0] Operation: 33*0=0
Exploring Operation: 33-18=15, Resulting Numbers: [0, 15]
Generated Node #0,4,2: 18:[0, 15] Operation: 33-18=15
Exploring Operation: 18+0=18, Resulting Numbers: [33, 18]
Generated Node #0,4,3: 18:[33, 18] Operation: 18+0=18
Exploring Operation: 33+0=33, Resulting Numbers: [18, 33]
Generated Node #0,4,4: 18:[18, 33] Operation: 33+0=33
Moving to Node #0,0
Current State: 18:[18, 54, 21], Operations: ['54-33=21']
Exploring Operation: 21-18=3, Resulting Numbers: [54, 3]
Generated Node #0,0,0: 18:[54, 3] Operation: 21-18=3
Exploring Operation: 54-18=36, Resulting Numbers: [21, 36]
Generated Node #0,0,1: 18:[21, 36] Operation: 54-18=36
Exploring Operation: 54-21=33, Resulting Numbers: [18, 33]
Generated Node #0,0,2: 18:[18, 33] Operation: 54-21=33
Exploring Operation: 54/18=3, Resulting Numbers: [21, 3]
Generated Node #0,0,3: 18:[21, 3] Operation: 54/18=3
Exploring Operation: 18+54=72, Resulting Numbers: [21, 72]
Generated Node #0,0,4: 18:[21, 72] Operation: 18+54=72
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 18:[21, 3], Operations: ['54-33=21', '54/18=3']
Exploring Operation: 21+3=24, Resulting Numbers: [24]
24,18 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[54, 18, 54, 33], Operations: []
Exploring Operation: 54-33=21, Resulting Numbers: [18, 54, 21]
Generated Node #0,0: 18:[18, 54, 21] Operation: 54-33=21
Moving to Node #0,0
Current State: 18:[18, 54, 21], Operations: ['54-33=21']
Exploring Operation: 54/18=3, Resulting Numbers: [21, 3]
Generated Node #0,0,3: 18:[21, 3] Operation: 54/18=3
Moving to Node #0,0,3
Current State: 18:[21, 3], Operations: ['54-33=21', '54/18=3']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 |
hs_5
|
sum_heuristic
|
[
46,
29,
57,
98
] | 38 |
[
"46*57=2622",
"98-29=69",
"2622/69=38"
] |
Current State: 38:[46, 29, 57, 98], Operations: []
Exploring Operation: 46*57=2622, Resulting Numbers: [29, 98, 2622]
Generated Node #2: [29, 98, 2622] from Operation: 46*57=2622
Current State: 38:[29, 98, 2622], Operations: ['46*57=2622']
Exploring Operation: 98-29=69, Resulting Numbers: [2622, 69]
Generated Node #3: [2622, 69] from Operation: 98-29=69
Current State: 38:[2622, 69], Operations: ['46*57=2622', '98-29=69']
Exploring Operation: 2622/69=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
Current State: 38:[46, 29, 57, 98], Operations: []
Exploring Operation: 98-57=41, Resulting Numbers: [46, 29, 41]
Generated Node #0,0: 38:[46, 29, 41] Operation: 98-57=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[46, 29, 41], Operations: ['98-57=41']
Exploring Operation: 46-29=17, Resulting Numbers: [41, 17]
Generated Node #0,0,0: 38:[41, 17] Operation: 46-29=17
Moving to Node #0,0,0
Current State: 38:[41, 17], Operations: ['98-57=41', '46-29=17']
Exploring Operation: 41-17=24, Resulting Numbers: [24]
24,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
51,
37,
32,
77
] | 41 |
[
"51+77=128",
"128/32=4",
"37+4=41"
] |
Current State: 41:[51, 37, 32, 77], Operations: []
Exploring Operation: 51+77=128, Resulting Numbers: [37, 32, 128]
Generated Node #2: [37, 32, 128] from Operation: 51+77=128
Current State: 41:[37, 32, 128], Operations: ['51+77=128']
Exploring Operation: 128/32=4, Resulting Numbers: [37, 4]
Generated Node #3: [37, 4] from Operation: 128/32=4
Current State: 41:[37, 4], Operations: ['51+77=128', '128/32=4']
Exploring Operation: 37+4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
Current State: 41:[51, 37, 32, 77], Operations: []
Exploring Operation: 77-51=26, Resulting Numbers: [37, 32, 26]
Generated Node #0,0: 41:[37, 32, 26] Operation: 77-51=26
Exploring Operation: 77-37=40, Resulting Numbers: [51, 32, 40]
Generated Node #0,1: 41:[51, 32, 40] Operation: 77-37=40
Exploring Operation: 77-32=45, Resulting Numbers: [51, 37, 45]
Generated Node #0,2: 41:[51, 37, 45] Operation: 77-32=45
Moving to Node #0,2
Current State: 41:[51, 37, 45], Operations: ['77-32=45']
Exploring Operation: 45-37=8, Resulting Numbers: [51, 8]
Generated Node #0,2,0: 41:[51, 8] Operation: 45-37=8
Exploring Operation: 51-37=14, Resulting Numbers: [45, 14]
Generated Node #0,2,1: 41:[45, 14] Operation: 51-37=14
Exploring Operation: 51-45=6, Resulting Numbers: [37, 6]
Generated Node #0,2,2: 41:[37, 6] Operation: 51-45=6
Moving to Node #0,1
Current State: 41:[51, 32, 40], Operations: ['77-37=40']
Exploring Operation: 51-40=11, Resulting Numbers: [32, 11]
Generated Node #0,1,0: 41:[32, 11] Operation: 51-40=11
Exploring Operation: 32+40=72, Resulting Numbers: [51, 72]
Generated Node #0,1,1: 41:[51, 72] Operation: 32+40=72
Exploring Operation: 51-32=19, Resulting Numbers: [40, 19]
Generated Node #0,1,2: 41:[40, 19] Operation: 51-32=19
Moving to Node #0,0
Current State: 41:[37, 32, 26], Operations: ['77-51=26']
Exploring Operation: 37+26=63, Resulting Numbers: [32, 63]
Generated Node #0,0,0: 41:[32, 63] Operation: 37+26=63
Exploring Operation: 32+26=58, Resulting Numbers: [37, 58]
Generated Node #0,0,1: 41:[37, 58] Operation: 32+26=58
Exploring Operation: 37-26=11, Resulting Numbers: [32, 11]
Generated Node #0,0,2: 41:[32, 11] Operation: 37-26=11
Moving to Node #0,0,1
Current State: 41:[37, 58], Operations: ['77-51=26', '32+26=58']
Exploring Operation: 37*58=2146, Resulting Numbers: [2146]
2146,41 unequal: No Solution
Exploring Operation: 37+58=95, Resulting Numbers: [95]
95,41 unequal: No Solution
Exploring Operation: 58-37=21, Resulting Numbers: [21]
21,41 unequal: No Solution
Moving to Node #0,1,2
Current State: 41:[40, 19], Operations: ['77-37=40', '51-32=19']
Exploring Operation: 40+19=59, Resulting Numbers: [59]
59,41 unequal: No Solution
Exploring Operation: 40*19=760, Resulting Numbers: [760]
760,41 unequal: No Solution
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,41 unequal: No Solution
Moving to Node #0,2,1
Current State: 41:[45, 14], Operations: ['77-32=45', '51-37=14']
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,41 unequal: No Solution
Exploring Operation: 45+14=59, Resulting Numbers: [59]
59,41 unequal: No Solution
Exploring Operation: 45*14=630, Resulting Numbers: [630]
630,41 unequal: No Solution
Moving to Node #0,0,0
Current State: 41:[32, 63], Operations: ['77-51=26', '37+26=63']
Exploring Operation: 63-32=31, Resulting Numbers: [31]
31,41 unequal: No Solution
Exploring Operation: 32+63=95, Resulting Numbers: [95]
95,41 unequal: No Solution
Exploring Operation: 32*63=2016, Resulting Numbers: [2016]
2016,41 unequal: No Solution
Moving to Node #0,0,2
Current State: 41:[32, 11], Operations: ['77-51=26', '37-26=11']
Exploring Operation: 32*11=352, Resulting Numbers: [352]
352,41 unequal: No Solution
Exploring Operation: 32-11=21, Resulting Numbers: [21]
21,41 unequal: No Solution
Exploring Operation: 32+11=43, Resulting Numbers: [43]
43,41 unequal: No Solution
Moving to Node #0,1,0
Current State: 41:[32, 11], Operations: ['77-37=40', '51-40=11']
Exploring Operation: 32*11=352, Resulting Numbers: [352]
352,41 unequal: No Solution
Exploring Operation: 32+11=43, Resulting Numbers: [43]
43,41 unequal: No Solution
Exploring Operation: 32-11=21, Resulting Numbers: [21]
21,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[37, 6], Operations: ['77-32=45', '51-45=6']
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,41 unequal: No Solution
Exploring Operation: 37*6=222, Resulting Numbers: [222]
222,41 unequal: No Solution
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,41 unequal: No Solution
Moving to Node #0,1,1
Current State: 41:[51, 72], Operations: ['77-37=40', '32+40=72']
Exploring Operation: 72-51=21, Resulting Numbers: [21]
21,41 unequal: No Solution
Exploring Operation: 51*72=3672, Resulting Numbers: [3672]
3672,41 unequal: No Solution
Exploring Operation: 51+72=123, Resulting Numbers: [123]
123,41 unequal: No Solution
Moving to Node #0,2,0
Current State: 41:[51, 8], Operations: ['77-32=45', '45-37=8']
Exploring Operation: 51*8=408, Resulting Numbers: [408]
408,41 unequal: No Solution
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,41 unequal: No Solution
Exploring Operation: 51+8=59, Resulting Numbers: [59]
59,41 unequal: No Solution
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
47,
79,
67,
62
] | 70 |
[
"79+62=141",
"141/47=3",
"67+3=70"
] |
Current State: 70:[47, 79, 67, 62], Operations: []
Exploring Operation: 79+62=141, Resulting Numbers: [47, 67, 141]
Generated Node #2: [47, 67, 141] from Operation: 79+62=141
Current State: 70:[47, 67, 141], Operations: ['79+62=141']
Exploring Operation: 141/47=3, Resulting Numbers: [67, 3]
Generated Node #3: [67, 3] from Operation: 141/47=3
Current State: 70:[67, 3], Operations: ['79+62=141', '141/47=3']
Exploring Operation: 67+3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
Current State: 70:[47, 79, 67, 62], Operations: []
Exploring Operation: 62-47=15, Resulting Numbers: [79, 67, 15]
Generated Node #0,0: 70:[79, 67, 15] Operation: 62-47=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[79, 67, 15], Operations: ['62-47=15']
Exploring Operation: 79-67=12, Resulting Numbers: [15, 12]
Generated Node #0,0,0: 70:[15, 12] Operation: 79-67=12
Moving to Node #0,0,0
Current State: 70:[15, 12], Operations: ['62-47=15', '79-67=12']
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
48,
20,
8,
80
] | 66 |
[
"48/8=6",
"80-20=60",
"6+60=66"
] |
Current State: 66:[48, 20, 8, 80], Operations: []
Exploring Operation: 48/8=6, Resulting Numbers: [20, 80, 6]
Generated Node #2: [20, 80, 6] from Operation: 48/8=6
Current State: 66:[20, 80, 6], Operations: ['48/8=6']
Exploring Operation: 80-20=60, Resulting Numbers: [6, 60]
Generated Node #3: [6, 60] from Operation: 80-20=60
Current State: 66:[6, 60], Operations: ['48/8=6', '80-20=60']
Exploring Operation: 6+60=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
Current State: 66:[48, 20, 8, 80], Operations: []
Exploring Operation: 80-48=32, Resulting Numbers: [20, 8, 32]
Generated Node #0,0: 66:[20, 8, 32] Operation: 80-48=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[20, 8, 32], Operations: ['80-48=32']
Exploring Operation: 20-8=12, Resulting Numbers: [32, 12]
Generated Node #0,0,0: 66:[32, 12] Operation: 20-8=12
Moving to Node #0,0,0
Current State: 66:[32, 12], Operations: ['80-48=32', '20-8=12']
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
10,
83,
45,
15
] | 70 |
[
"83-10=73",
"45/15=3",
"73-3=70"
] |
Current State: 70:[10, 83, 45, 15], Operations: []
Exploring Operation: 83-10=73, Resulting Numbers: [45, 15, 73]
Generated Node #2: [45, 15, 73] from Operation: 83-10=73
Current State: 70:[45, 15, 73], Operations: ['83-10=73']
Exploring Operation: 45/15=3, Resulting Numbers: [73, 3]
Generated Node #3: [73, 3] from Operation: 45/15=3
Current State: 70:[73, 3], Operations: ['83-10=73', '45/15=3']
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
Current State: 70:[10, 83, 45, 15], Operations: []
Exploring Operation: 83-45=38, Resulting Numbers: [10, 15, 38]
Generated Node #0,0: 70:[10, 15, 38] Operation: 83-45=38
Exploring Operation: 45/15=3, Resulting Numbers: [10, 83, 3]
Generated Node #0,1: 70:[10, 83, 3] Operation: 45/15=3
Exploring Operation: 83-10=73, Resulting Numbers: [45, 15, 73]
Generated Node #0,2: 70:[45, 15, 73] Operation: 83-10=73
Exploring Operation: 83-15=68, Resulting Numbers: [10, 45, 68]
Generated Node #0,3: 70:[10, 45, 68] Operation: 83-15=68
Exploring Operation: 45-10=35, Resulting Numbers: [83, 15, 35]
Generated Node #0,4: 70:[83, 15, 35] Operation: 45-10=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[10, 15, 38], Operations: ['83-45=38']
Exploring Operation: 38-15=23, Resulting Numbers: [10, 23]
Generated Node #0,0,0: 70:[10, 23] Operation: 38-15=23
Exploring Operation: 15-10=5, Resulting Numbers: [38, 5]
Generated Node #0,0,1: 70:[38, 5] Operation: 15-10=5
Exploring Operation: 10+15=25, Resulting Numbers: [38, 25]
Generated Node #0,0,2: 70:[38, 25] Operation: 10+15=25
Exploring Operation: 10+38=48, Resulting Numbers: [15, 48]
Generated Node #0,0,3: 70:[15, 48] Operation: 10+38=48
Exploring Operation: 38-10=28, Resulting Numbers: [15, 28]
Generated Node #0,0,4: 70:[15, 28] Operation: 38-10=28
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 70:[38, 5], Operations: ['83-45=38', '15-10=5']
Exploring Operation: 38*5=190, Resulting Numbers: [190]
190,70 unequal: No Solution
Exploring Operation: 38+5=43, Resulting Numbers: [43]
43,70 unequal: No Solution
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 70:[15, 28], Operations: ['83-45=38', '38-10=28']
Exploring Operation: 15+28=43, Resulting Numbers: [43]
43,70 unequal: No Solution
Exploring Operation: 15*28=420, Resulting Numbers: [420]
420,70 unequal: No Solution
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 70:[10, 23], Operations: ['83-45=38', '38-15=23']
Exploring Operation: 10+23=33, Resulting Numbers: [33]
33,70 unequal: No Solution
Exploring Operation: 10*23=230, Resulting Numbers: [230]
230,70 unequal: No Solution
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 70:[38, 25], Operations: ['83-45=38', '10+15=25']
Exploring Operation: 38+25=63, Resulting Numbers: [63]
63,70 unequal: No Solution
Exploring Operation: 38-25=13, Resulting Numbers: [13]
13,70 unequal: No Solution
Exploring Operation: 38*25=950, Resulting Numbers: [950]
950,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 70:[15, 48], Operations: ['83-45=38', '10+38=48']
Exploring Operation: 15*48=720, Resulting Numbers: [720]
720,70 unequal: No Solution
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,70 unequal: No Solution
Exploring Operation: 15+48=63, Resulting Numbers: [63]
63,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 70:[10, 45, 68], Operations: ['83-15=68']
Exploring Operation: 10+68=78, Resulting Numbers: [45, 78]
Generated Node #0,3,0: 70:[45, 78] Operation: 10+68=78
Exploring Operation: 68-10=58, Resulting Numbers: [45, 58]
Generated Node #0,3,1: 70:[45, 58] Operation: 68-10=58
Exploring Operation: 10+45=55, Resulting Numbers: [68, 55]
Generated Node #0,3,2: 70:[68, 55] Operation: 10+45=55
Exploring Operation: 68-45=23, Resulting Numbers: [10, 23]
Generated Node #0,3,3: 70:[10, 23] Operation: 68-45=23
Exploring Operation: 45-10=35, Resulting Numbers: [68, 35]
Generated Node #0,3,4: 70:[68, 35] Operation: 45-10=35
Moving to Node #0,3,4
Current State: 70:[68, 35], Operations: ['83-15=68', '45-10=35']
Exploring Operation: 68-35=33, Resulting Numbers: [33]
33,70 unequal: No Solution
Exploring Operation: 68*35=2380, Resulting Numbers: [2380]
2380,70 unequal: No Solution
Exploring Operation: 68+35=103, Resulting Numbers: [103]
103,70 unequal: No Solution
Moving to Node #0,3,3
Current State: 70:[10, 23], Operations: ['83-15=68', '68-45=23']
Exploring Operation: 10+23=33, Resulting Numbers: [33]
33,70 unequal: No Solution
Exploring Operation: 10*23=230, Resulting Numbers: [230]
230,70 unequal: No Solution
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,70 unequal: No Solution
Moving to Node #0,3,2
Current State: 70:[68, 55], Operations: ['83-15=68', '10+45=55']
Exploring Operation: 68+55=123, Resulting Numbers: [123]
123,70 unequal: No Solution
Exploring Operation: 68*55=3740, Resulting Numbers: [3740]
3740,70 unequal: No Solution
Exploring Operation: 68-55=13, Resulting Numbers: [13]
13,70 unequal: No Solution
Moving to Node #0,3,0
Current State: 70:[45, 78], Operations: ['83-15=68', '10+68=78']
Exploring Operation: 45+78=123, Resulting Numbers: [123]
123,70 unequal: No Solution
Exploring Operation: 45*78=3510, Resulting Numbers: [3510]
3510,70 unequal: No Solution
Exploring Operation: 78-45=33, Resulting Numbers: [33]
33,70 unequal: No Solution
Moving to Node #0,3,1
Current State: 70:[45, 58], Operations: ['83-15=68', '68-10=58']
Exploring Operation: 58-45=13, Resulting Numbers: [13]
13,70 unequal: No Solution
Exploring Operation: 45+58=103, Resulting Numbers: [103]
103,70 unequal: No Solution
Exploring Operation: 45*58=2610, Resulting Numbers: [2610]
2610,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 70:[10, 83, 3], Operations: ['45/15=3']
Exploring Operation: 10-3=7, Resulting Numbers: [83, 7]
Generated Node #0,1,0: 70:[83, 7] Operation: 10-3=7
Exploring Operation: 83-3=80, Resulting Numbers: [10, 80]
Generated Node #0,1,1: 70:[10, 80] Operation: 83-3=80
Exploring Operation: 83-10=73, Resulting Numbers: [3, 73]
Generated Node #0,1,2: 70:[3, 73] Operation: 83-10=73
Exploring Operation: 83+3=86, Resulting Numbers: [10, 86]
Generated Node #0,1,3: 70:[10, 86] Operation: 83+3=86
Exploring Operation: 10+3=13, Resulting Numbers: [83, 13]
Generated Node #0,1,4: 70:[83, 13] Operation: 10+3=13
Moving to Node #0,1,2
Current State: 70:[3, 73], Operations: ['45/15=3', '83-10=73']
Exploring Operation: 3*73=219, Resulting Numbers: [219]
219,70 unequal: No Solution
Exploring Operation: 3+73=76, Resulting Numbers: [76]
76,70 unequal: No Solution
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[10, 83, 45, 15], Operations: []
Exploring Operation: 45/15=3, Resulting Numbers: [10, 83, 3]
Generated Node #0,1: 70:[10, 83, 3] Operation: 45/15=3
Moving to Node #0,1
Current State: 70:[10, 83, 3], Operations: ['45/15=3']
Exploring Operation: 83-10=73, Resulting Numbers: [3, 73]
Generated Node #0,1,2: 70:[3, 73] Operation: 83-10=73
Moving to Node #0,1,2
Current State: 70:[3, 73], Operations: ['45/15=3', '83-10=73']
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.950521 |
hs_5
|
sum_heuristic
|
[
15,
15,
20,
12
] | 100 |
[
"15*20=300",
"15-12=3",
"300/3=100"
] |
Current State: 100:[15, 15, 20, 12], Operations: []
Exploring Operation: 15*20=300, Resulting Numbers: [12, 300]
Generated Node #2: [12, 300] from Operation: 15*20=300
Current State: 100:[12, 300], Operations: ['15*20=300']
Exploring Operation: 15-12=3, Resulting Numbers: [300, 3]
Generated Node #3: [300, 3] from Operation: 15-12=3
Current State: 100:[300, 3], Operations: ['15*20=300', '15-12=3']
Exploring Operation: 300/3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
Current State: 100:[15, 15, 20, 12], Operations: []
Exploring Operation: 15-15=0, Resulting Numbers: [20, 12, 0]
Generated Node #0,0: 100:[20, 12, 0] Operation: 15-15=0
Exploring Operation: 15-12=3, Resulting Numbers: [15, 20, 3]
Generated Node #0,1: 100:[15, 20, 3] Operation: 15-12=3
Exploring Operation: 15/15=1, Resulting Numbers: [20, 12, 1]
Generated Node #0,2: 100:[20, 12, 1] Operation: 15/15=1
Start Sub Search at level 1: Moving to Node #0,2
Current State: 100:[20, 12, 1], Operations: ['15/15=1']
Exploring Operation: 20*1=20, Resulting Numbers: [12, 20]
Generated Node #0,2,0: 100:[12, 20] Operation: 20*1=20
Exploring Operation: 12-1=11, Resulting Numbers: [20, 11]
Generated Node #0,2,1: 100:[20, 11] Operation: 12-1=11
Exploring Operation: 20/1=20, Resulting Numbers: [12, 20]
Generated Node #0,2,2: 100:[12, 20] Operation: 20/1=20
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 100:[20, 11], Operations: ['15/15=1', '12-1=11']
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,100 unequal: No Solution
Exploring Operation: 20*11=220, Resulting Numbers: [220]
220,100 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 100:[12, 20], Operations: ['15/15=1', '20*1=20']
Exploring Operation: 12+20=32, Resulting Numbers: [32]
32,100 unequal: No Solution
Exploring Operation: 12*20=240, Resulting Numbers: [240]
240,100 unequal: No Solution
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 100:[12, 20], Operations: ['15/15=1', '20/1=20']
Exploring Operation: 12*20=240, Resulting Numbers: [240]
240,100 unequal: No Solution
Exploring Operation: 12+20=32, Resulting Numbers: [32]
32,100 unequal: No Solution
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[20, 12, 0], Operations: ['15-15=0']
Exploring Operation: 20-0=20, Resulting Numbers: [12, 20]
Generated Node #0,0,0: 100:[12, 20] Operation: 20-0=20
Exploring Operation: 20+0=20, Resulting Numbers: [12, 20]
Generated Node #0,0,1: 100:[12, 20] Operation: 20+0=20
Exploring Operation: 12+0=12, Resulting Numbers: [20, 12]
Generated Node #0,0,2: 100:[20, 12] Operation: 12+0=12
Moving to Node #0,0,0
Current State: 100:[12, 20], Operations: ['15-15=0', '20-0=20']
Exploring Operation: 12+20=32, Resulting Numbers: [32]
32,100 unequal: No Solution
Exploring Operation: 12*20=240, Resulting Numbers: [240]
240,100 unequal: No Solution
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,100 unequal: No Solution
Moving to Node #0,0,1
Current State: 100:[12, 20], Operations: ['15-15=0', '20+0=20']
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,100 unequal: No Solution
Exploring Operation: 12+20=32, Resulting Numbers: [32]
32,100 unequal: No Solution
Exploring Operation: 12*20=240, Resulting Numbers: [240]
240,100 unequal: No Solution
Moving to Node #0,0,2
Current State: 100:[20, 12], Operations: ['15-15=0', '12+0=12']
Exploring Operation: 20*12=240, Resulting Numbers: [240]
240,100 unequal: No Solution
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,100 unequal: No Solution
Exploring Operation: 20+12=32, Resulting Numbers: [32]
32,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[15, 20, 3], Operations: ['15-12=3']
Exploring Operation: 20-15=5, Resulting Numbers: [3, 5]
Generated Node #0,1,0: 100:[3, 5] Operation: 20-15=5
Exploring Operation: 15/3=5, Resulting Numbers: [20, 5]
Generated Node #0,1,1: 100:[20, 5] Operation: 15/3=5
Exploring Operation: 15+3=18, Resulting Numbers: [20, 18]
Generated Node #0,1,2: 100:[20, 18] Operation: 15+3=18
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 100:[20, 5], Operations: ['15-12=3', '15/3=5']
Exploring Operation: 20+5=25, Resulting Numbers: [25]
25,100 unequal: No Solution
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[15, 15, 20, 12], Operations: []
Exploring Operation: 15-12=3, Resulting Numbers: [15, 20, 3]
Generated Node #0,1: 100:[15, 20, 3] Operation: 15-12=3
Moving to Node #0,1
Current State: 100:[15, 20, 3], Operations: ['15-12=3']
Exploring Operation: 15/3=5, Resulting Numbers: [20, 5]
Generated Node #0,1,1: 100:[20, 5] Operation: 15/3=5
Moving to Node #0,1,1
Current State: 100:[20, 5], Operations: ['15-12=3', '15/3=5']
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96875 |
hs_3
|
mult_heuristic
|
[
14,
66,
46,
28
] | 89 |
[
"14*46=644",
"644/28=23",
"66+23=89"
] |
Current State: 89:[14, 66, 46, 28], Operations: []
Exploring Operation: 14*46=644, Resulting Numbers: [66, 28, 644]
Generated Node #2: [66, 28, 644] from Operation: 14*46=644
Current State: 89:[66, 28, 644], Operations: ['14*46=644']
Exploring Operation: 644/28=23, Resulting Numbers: [66, 23]
Generated Node #3: [66, 23] from Operation: 644/28=23
Current State: 89:[66, 23], Operations: ['14*46=644', '644/28=23']
Exploring Operation: 66+23=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
Current State: 89:[14, 66, 46, 28], Operations: []
Exploring Operation: 14+46=60, Resulting Numbers: [66, 28, 60]
Generated Node #0,0: 89:[66, 28, 60] Operation: 14+46=60
Exploring Operation: 14+28=42, Resulting Numbers: [66, 46, 42]
Generated Node #0,1: 89:[66, 46, 42] Operation: 14+28=42
Exploring Operation: 14+66=80, Resulting Numbers: [46, 28, 80]
Generated Node #0,2: 89:[46, 28, 80] Operation: 14+66=80
Exploring Operation: 46+28=74, Resulting Numbers: [14, 66, 74]
Generated Node #0,3: 89:[14, 66, 74] Operation: 46+28=74
Moving to Node #0,0
Current State: 89:[66, 28, 60], Operations: ['14+46=60']
Exploring Operation: 60-28=32, Resulting Numbers: [66, 32]
Generated Node #0,0,0: 89:[66, 32] Operation: 60-28=32
Exploring Operation: 66-28=38, Resulting Numbers: [60, 38]
Generated Node #0,0,1: 89:[60, 38] Operation: 66-28=38
Exploring Operation: 28+60=88, Resulting Numbers: [66, 88]
Generated Node #0,0,2: 89:[66, 88] Operation: 28+60=88
Exploring Operation: 66+28=94, Resulting Numbers: [60, 94]
Generated Node #0,0,3: 89:[60, 94] Operation: 66+28=94
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 89:[66, 88], Operations: ['14+46=60', '28+60=88']
Exploring Operation: 66+88=154, Resulting Numbers: [154]
154,89 unequal: No Solution
Exploring Operation: 66*88=5808, Resulting Numbers: [5808]
5808,89 unequal: No Solution
Exploring Operation: 88-66=22, Resulting Numbers: [22]
22,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 89:[60, 94], Operations: ['14+46=60', '66+28=94']
Exploring Operation: 60+94=154, Resulting Numbers: [154]
154,89 unequal: No Solution
Exploring Operation: 60*94=5640, Resulting Numbers: [5640]
5640,89 unequal: No Solution
Exploring Operation: 94-60=34, Resulting Numbers: [34]
34,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 89:[66, 32], Operations: ['14+46=60', '60-28=32']
Exploring Operation: 66+32=98, Resulting Numbers: [98]
98,89 unequal: No Solution
Exploring Operation: 66-32=34, Resulting Numbers: [34]
34,89 unequal: No Solution
Exploring Operation: 66*32=2112, Resulting Numbers: [2112]
2112,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 89:[60, 38], Operations: ['14+46=60', '66-28=38']
Exploring Operation: 60+38=98, Resulting Numbers: [98]
98,89 unequal: No Solution
Exploring Operation: 60*38=2280, Resulting Numbers: [2280]
2280,89 unequal: No Solution
Exploring Operation: 60-38=22, Resulting Numbers: [22]
22,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 89:[46, 28, 80], Operations: ['14+66=80']
Exploring Operation: 80-28=52, Resulting Numbers: [46, 52]
Generated Node #0,2,0: 89:[46, 52] Operation: 80-28=52
Exploring Operation: 46-28=18, Resulting Numbers: [80, 18]
Generated Node #0,2,1: 89:[80, 18] Operation: 46-28=18
Exploring Operation: 28+80=108, Resulting Numbers: [46, 108]
Generated Node #0,2,2: 89:[46, 108] Operation: 28+80=108
Exploring Operation: 46+28=74, Resulting Numbers: [80, 74]
Generated Node #0,2,3: 89:[80, 74] Operation: 46+28=74
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 89:[80, 74], Operations: ['14+66=80', '46+28=74']
Exploring Operation: 80-74=6, Resulting Numbers: [6]
6,89 unequal: No Solution
Exploring Operation: 80+74=154, Resulting Numbers: [154]
154,89 unequal: No Solution
Exploring Operation: 80*74=5920, Resulting Numbers: [5920]
5920,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 89:[46, 108], Operations: ['14+66=80', '28+80=108']
Exploring Operation: 46+108=154, Resulting Numbers: [154]
154,89 unequal: No Solution
Exploring Operation: 46*108=4968, Resulting Numbers: [4968]
4968,89 unequal: No Solution
Exploring Operation: 108-46=62, Resulting Numbers: [62]
62,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 89:[46, 52], Operations: ['14+66=80', '80-28=52']
Exploring Operation: 52-46=6, Resulting Numbers: [6]
6,89 unequal: No Solution
Exploring Operation: 46*52=2392, Resulting Numbers: [2392]
2392,89 unequal: No Solution
Exploring Operation: 46+52=98, Resulting Numbers: [98]
98,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 89:[80, 18], Operations: ['14+66=80', '46-28=18']
Exploring Operation: 80-18=62, Resulting Numbers: [62]
62,89 unequal: No Solution
Exploring Operation: 80*18=1440, Resulting Numbers: [1440]
1440,89 unequal: No Solution
Exploring Operation: 80+18=98, Resulting Numbers: [98]
98,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 89:[66, 46, 42], Operations: ['14+28=42']
Exploring Operation: 46+42=88, Resulting Numbers: [66, 88]
Generated Node #0,1,0: 89:[66, 88] Operation: 46+42=88
Exploring Operation: 66+42=108, Resulting Numbers: [46, 108]
Generated Node #0,1,1: 89:[46, 108] Operation: 66+42=108
Exploring Operation: 66-42=24, Resulting Numbers: [46, 24]
Generated Node #0,1,2: 89:[46, 24] Operation: 66-42=24
Exploring Operation: 66+46=112, Resulting Numbers: [42, 112]
Generated Node #0,1,3: 89:[42, 112] Operation: 66+46=112
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 89:[66, 88], Operations: ['14+28=42', '46+42=88']
Exploring Operation: 66+88=154, Resulting Numbers: [154]
154,89 unequal: No Solution
Exploring Operation: 88-66=22, Resulting Numbers: [22]
22,89 unequal: No Solution
Exploring Operation: 66*88=5808, Resulting Numbers: [5808]
5808,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 89:[46, 108], Operations: ['14+28=42', '66+42=108']
Exploring Operation: 46*108=4968, Resulting Numbers: [4968]
4968,89 unequal: No Solution
Exploring Operation: 108-46=62, Resulting Numbers: [62]
62,89 unequal: No Solution
Exploring Operation: 46+108=154, Resulting Numbers: [154]
154,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 89:[42, 112], Operations: ['14+28=42', '66+46=112']
Exploring Operation: 112-42=70, Resulting Numbers: [70]
70,89 unequal: No Solution
Exploring Operation: 42+112=154, Resulting Numbers: [154]
154,89 unequal: No Solution
Exploring Operation: 42*112=4704, Resulting Numbers: [4704]
4704,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 89:[46, 24], Operations: ['14+28=42', '66-42=24']
Exploring Operation: 46*24=1104, Resulting Numbers: [1104]
1104,89 unequal: No Solution
Exploring Operation: 46+24=70, Resulting Numbers: [70]
70,89 unequal: No Solution
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 89:[14, 66, 74], Operations: ['46+28=74']
Exploring Operation: 14+74=88, Resulting Numbers: [66, 88]
Generated Node #0,3,0: 89:[66, 88] Operation: 14+74=88
Exploring Operation: 66-14=52, Resulting Numbers: [74, 52]
Generated Node #0,3,1: 89:[74, 52] Operation: 66-14=52
Exploring Operation: 74-14=60, Resulting Numbers: [66, 60]
Generated Node #0,3,2: 89:[66, 60] Operation: 74-14=60
Exploring Operation: 14+66=80, Resulting Numbers: [74, 80]
Generated Node #0,3,3: 89:[74, 80] Operation: 14+66=80
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 89:[66, 88], Operations: ['46+28=74', '14+74=88']
Exploring Operation: 66*88=5808, Resulting Numbers: [5808]
5808,89 unequal: No Solution
Exploring Operation: 88-66=22, Resulting Numbers: [22]
22,89 unequal: No Solution
Exploring Operation: 66+88=154, Resulting Numbers: [154]
154,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 89:[74, 80], Operations: ['46+28=74', '14+66=80']
Exploring Operation: 74+80=154, Resulting Numbers: [154]
154,89 unequal: No Solution
Exploring Operation: 80-74=6, Resulting Numbers: [6]
6,89 unequal: No Solution
Exploring Operation: 74*80=5920, Resulting Numbers: [5920]
5920,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 89:[74, 52], Operations: ['46+28=74', '66-14=52']
Exploring Operation: 74+52=126, Resulting Numbers: [126]
126,89 unequal: No Solution
Exploring Operation: 74*52=3848, Resulting Numbers: [3848]
3848,89 unequal: No Solution
Exploring Operation: 74-52=22, Resulting Numbers: [22]
22,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 89:[66, 60], Operations: ['46+28=74', '74-14=60']
Exploring Operation: 66-60=6, Resulting Numbers: [6]
6,89 unequal: No Solution
Exploring Operation: 66+60=126, Resulting Numbers: [126]
126,89 unequal: No Solution
Exploring Operation: 66*60=3960, Resulting Numbers: [3960]
3960,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
89,
60,
53,
23
] | 87 |
[
"53-23=30",
"60/30=2",
"89-2=87"
] |
Current State: 87:[89, 60, 53, 23], Operations: []
Exploring Operation: 53-23=30, Resulting Numbers: [89, 60, 30]
Generated Node #2: [89, 60, 30] from Operation: 53-23=30
Current State: 87:[89, 60, 30], Operations: ['53-23=30']
Exploring Operation: 60/30=2, Resulting Numbers: [89, 2]
Generated Node #3: [89, 2] from Operation: 60/30=2
Current State: 87:[89, 2], Operations: ['53-23=30', '60/30=2']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
Current State: 87:[89, 60, 53, 23], Operations: []
Exploring Operation: 60-53=7, Resulting Numbers: [89, 23, 7]
Generated Node #0,0: 87:[89, 23, 7] Operation: 60-53=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[89, 23, 7], Operations: ['60-53=7']
Exploring Operation: 23+7=30, Resulting Numbers: [89, 30]
Generated Node #0,0,0: 87:[89, 30] Operation: 23+7=30
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 87:[89, 30], Operations: ['60-53=7', '23+7=30']
Exploring Operation: 89-30=59, Resulting Numbers: [59]
59,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
15,
15,
40,
66
] | 27 |
[
"15/15=1",
"66-40=26",
"1+26=27"
] |
Current State: 27:[15, 15, 40, 66], Operations: []
Exploring Operation: 15/15=1, Resulting Numbers: [40, 66, 1]
Generated Node #2: [40, 66, 1] from Operation: 15/15=1
Current State: 27:[40, 66, 1], Operations: ['15/15=1']
Exploring Operation: 66-40=26, Resulting Numbers: [1, 26]
Generated Node #3: [1, 26] from Operation: 66-40=26
Current State: 27:[1, 26], Operations: ['15/15=1', '66-40=26']
Exploring Operation: 1+26=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
Current State: 27:[15, 15, 40, 66], Operations: []
Exploring Operation: 40-15=25, Resulting Numbers: [15, 66, 25]
Generated Node #0,0: 27:[15, 66, 25] Operation: 40-15=25
Exploring Operation: 66-15=51, Resulting Numbers: [15, 40, 51]
Generated Node #0,1: 27:[15, 40, 51] Operation: 66-15=51
Exploring Operation: 40-15=25, Resulting Numbers: [15, 66, 25]
Generated Node #0,2: 27:[15, 66, 25] Operation: 40-15=25
Exploring Operation: 66-15=51, Resulting Numbers: [15, 40, 51]
Generated Node #0,3: 27:[15, 40, 51] Operation: 66-15=51
Exploring Operation: 66-40=26, Resulting Numbers: [15, 15, 26]
Generated Node #0,4: 27:[15, 15, 26] Operation: 66-40=26
Moving to Node #0,4
Current State: 27:[15, 15, 26], Operations: ['66-40=26']
Exploring Operation: 26-15=11, Resulting Numbers: [15, 11]
Generated Node #0,4,0: 27:[15, 11] Operation: 26-15=11
Exploring Operation: 15+15=30, Resulting Numbers: [26, 30]
Generated Node #0,4,1: 27:[26, 30] Operation: 15+15=30
Exploring Operation: 15/15=1, Resulting Numbers: [26, 1]
Generated Node #0,4,2: 27:[26, 1] Operation: 15/15=1
Exploring Operation: 15-15=0, Resulting Numbers: [26, 0]
Generated Node #0,4,3: 27:[26, 0] Operation: 15-15=0
Exploring Operation: 26-15=11, Resulting Numbers: [15, 11]
Generated Node #0,4,4: 27:[15, 11] Operation: 26-15=11
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 27:[26, 1], Operations: ['66-40=26', '15/15=1']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,27 unequal: No Solution
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[15, 15, 40, 66], Operations: []
Exploring Operation: 66-40=26, Resulting Numbers: [15, 15, 26]
Generated Node #0,4: 27:[15, 15, 26] Operation: 66-40=26
Moving to Node #0,4
Current State: 27:[15, 15, 26], Operations: ['66-40=26']
Exploring Operation: 15/15=1, Resulting Numbers: [26, 1]
Generated Node #0,4,2: 27:[26, 1] Operation: 15/15=1
Moving to Node #0,4,2
Current State: 27:[26, 1], Operations: ['66-40=26', '15/15=1']
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 |
hs_5
|
mult_heuristic
|
[
23,
95,
34,
33
] | 71 |
[
"95-23=72",
"34-33=1",
"72-1=71"
] |
Current State: 71:[23, 95, 34, 33], Operations: []
Exploring Operation: 95-23=72, Resulting Numbers: [34, 33, 72]
Generated Node #2: [34, 33, 72] from Operation: 95-23=72
Current State: 71:[34, 33, 72], Operations: ['95-23=72']
Exploring Operation: 34-33=1, Resulting Numbers: [72, 1]
Generated Node #3: [72, 1] from Operation: 34-33=1
Current State: 71:[72, 1], Operations: ['95-23=72', '34-33=1']
Exploring Operation: 72-1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
Current State: 71:[23, 95, 34, 33], Operations: []
Exploring Operation: 95-23=72, Resulting Numbers: [34, 33, 72]
Generated Node #0,0: 71:[34, 33, 72] Operation: 95-23=72
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[34, 33, 72], Operations: ['95-23=72']
Exploring Operation: 34+33=67, Resulting Numbers: [72, 67]
Generated Node #0,0,0: 71:[72, 67] Operation: 34+33=67
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 71:[72, 67], Operations: ['95-23=72', '34+33=67']
Exploring Operation: 72-67=5, Resulting Numbers: [5]
5,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
5,
15,
82,
10
] | 43 |
[
"15+10=25",
"5*25=125",
"125-82=43"
] |
Current State: 43:[5, 15, 82, 10], Operations: []
Exploring Operation: 15+10=25, Resulting Numbers: [5, 82, 25]
Generated Node #2: [5, 82, 25] from Operation: 15+10=25
Current State: 43:[5, 82, 25], Operations: ['15+10=25']
Exploring Operation: 5*25=125, Resulting Numbers: [82, 125]
Generated Node #3: [82, 125] from Operation: 5*25=125
Current State: 43:[82, 125], Operations: ['15+10=25', '5*25=125']
Exploring Operation: 125-82=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
Current State: 43:[5, 15, 82, 10], Operations: []
Exploring Operation: 82-15=67, Resulting Numbers: [5, 10, 67]
Generated Node #0,0: 43:[5, 10, 67] Operation: 82-15=67
Exploring Operation: 5+15=20, Resulting Numbers: [82, 10, 20]
Generated Node #0,1: 43:[82, 10, 20] Operation: 5+15=20
Exploring Operation: 5+10=15, Resulting Numbers: [15, 82, 15]
Generated Node #0,2: 43:[15, 82, 15] Operation: 5+10=15
Exploring Operation: 82-5=77, Resulting Numbers: [15, 10, 77]
Generated Node #0,3: 43:[15, 10, 77] Operation: 82-5=77
Exploring Operation: 5*10=50, Resulting Numbers: [15, 82, 50]
Generated Node #0,4: 43:[15, 82, 50] Operation: 5*10=50
Start Sub Search at level 1: Moving to Node #0,4
Current State: 43:[15, 82, 50], Operations: ['5*10=50']
Exploring Operation: 82-50=32, Resulting Numbers: [15, 32]
Generated Node #0,4,0: 43:[15, 32] Operation: 82-50=32
Exploring Operation: 82-15=67, Resulting Numbers: [50, 67]
Generated Node #0,4,1: 43:[50, 67] Operation: 82-15=67
Exploring Operation: 15+50=65, Resulting Numbers: [82, 65]
Generated Node #0,4,2: 43:[82, 65] Operation: 15+50=65
Exploring Operation: 50-15=35, Resulting Numbers: [82, 35]
Generated Node #0,4,3: 43:[82, 35] Operation: 50-15=35
Exploring Operation: 15+82=97, Resulting Numbers: [50, 97]
Generated Node #0,4,4: 43:[50, 97] Operation: 15+82=97
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 43:[50, 67], Operations: ['5*10=50', '82-15=67']
Exploring Operation: 50*67=3350, Resulting Numbers: [3350]
3350,43 unequal: No Solution
Exploring Operation: 50+67=117, Resulting Numbers: [117]
117,43 unequal: No Solution
Exploring Operation: 67-50=17, Resulting Numbers: [17]
17,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 43:[15, 32], Operations: ['5*10=50', '82-50=32']
Exploring Operation: 15+32=47, Resulting Numbers: [47]
47,43 unequal: No Solution
Exploring Operation: 32-15=17, Resulting Numbers: [17]
17,43 unequal: No Solution
Exploring Operation: 15*32=480, Resulting Numbers: [480]
480,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 43:[82, 35], Operations: ['5*10=50', '50-15=35']
Exploring Operation: 82+35=117, Resulting Numbers: [117]
117,43 unequal: No Solution
Exploring Operation: 82-35=47, Resulting Numbers: [47]
47,43 unequal: No Solution
Exploring Operation: 82*35=2870, Resulting Numbers: [2870]
2870,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 43:[82, 65], Operations: ['5*10=50', '15+50=65']
Exploring Operation: 82*65=5330, Resulting Numbers: [5330]
5330,43 unequal: No Solution
Exploring Operation: 82+65=147, Resulting Numbers: [147]
147,43 unequal: No Solution
Exploring Operation: 82-65=17, Resulting Numbers: [17]
17,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 43:[50, 97], Operations: ['5*10=50', '15+82=97']
Exploring Operation: 97-50=47, Resulting Numbers: [47]
47,43 unequal: No Solution
Exploring Operation: 50*97=4850, Resulting Numbers: [4850]
4850,43 unequal: No Solution
Exploring Operation: 50+97=147, Resulting Numbers: [147]
147,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[5, 10, 67], Operations: ['82-15=67']
Exploring Operation: 10-5=5, Resulting Numbers: [67, 5]
Generated Node #0,0,0: 43:[67, 5] Operation: 10-5=5
Exploring Operation: 5*10=50, Resulting Numbers: [67, 50]
Generated Node #0,0,1: 43:[67, 50] Operation: 5*10=50
Exploring Operation: 5+10=15, Resulting Numbers: [67, 15]
Generated Node #0,0,2: 43:[67, 15] Operation: 5+10=15
Exploring Operation: 67-5=62, Resulting Numbers: [10, 62]
Generated Node #0,0,3: 43:[10, 62] Operation: 67-5=62
Exploring Operation: 67-10=57, Resulting Numbers: [5, 57]
Generated Node #0,0,4: 43:[5, 57] Operation: 67-10=57
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 43:[67, 50], Operations: ['82-15=67', '5*10=50']
Exploring Operation: 67*50=3350, Resulting Numbers: [3350]
3350,43 unequal: No Solution
Exploring Operation: 67+50=117, Resulting Numbers: [117]
117,43 unequal: No Solution
Exploring Operation: 67-50=17, Resulting Numbers: [17]
17,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 43:[67, 15], Operations: ['82-15=67', '5+10=15']
Exploring Operation: 67+15=82, Resulting Numbers: [82]
82,43 unequal: No Solution
Exploring Operation: 67-15=52, Resulting Numbers: [52]
52,43 unequal: No Solution
Exploring Operation: 67*15=1005, Resulting Numbers: [1005]
1005,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 43:[10, 62], Operations: ['82-15=67', '67-5=62']
Exploring Operation: 62-10=52, Resulting Numbers: [52]
52,43 unequal: No Solution
Exploring Operation: 10+62=72, Resulting Numbers: [72]
72,43 unequal: No Solution
Exploring Operation: 10*62=620, Resulting Numbers: [620]
620,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 43:[5, 57], Operations: ['82-15=67', '67-10=57']
Exploring Operation: 5*57=285, Resulting Numbers: [285]
285,43 unequal: No Solution
Exploring Operation: 5+57=62, Resulting Numbers: [62]
62,43 unequal: No Solution
Exploring Operation: 57-5=52, Resulting Numbers: [52]
52,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 43:[67, 5], Operations: ['82-15=67', '10-5=5']
Exploring Operation: 67-5=62, Resulting Numbers: [62]
62,43 unequal: No Solution
Exploring Operation: 67*5=335, Resulting Numbers: [335]
335,43 unequal: No Solution
Exploring Operation: 67+5=72, Resulting Numbers: [72]
72,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 43:[82, 10, 20], Operations: ['5+15=20']
Exploring Operation: 82+10=92, Resulting Numbers: [20, 92]
Generated Node #0,1,0: 43:[20, 92] Operation: 82+10=92
Exploring Operation: 82-10=72, Resulting Numbers: [20, 72]
Generated Node #0,1,1: 43:[20, 72] Operation: 82-10=72
Exploring Operation: 82-20=62, Resulting Numbers: [10, 62]
Generated Node #0,1,2: 43:[10, 62] Operation: 82-20=62
Exploring Operation: 10+20=30, Resulting Numbers: [82, 30]
Generated Node #0,1,3: 43:[82, 30] Operation: 10+20=30
Exploring Operation: 20-10=10, Resulting Numbers: [82, 10]
Generated Node #0,1,4: 43:[82, 10] Operation: 20-10=10
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 43:[20, 72], Operations: ['5+15=20', '82-10=72']
Exploring Operation: 20*72=1440, Resulting Numbers: [1440]
1440,43 unequal: No Solution
Exploring Operation: 20+72=92, Resulting Numbers: [92]
92,43 unequal: No Solution
Exploring Operation: 72-20=52, Resulting Numbers: [52]
52,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 43:[10, 62], Operations: ['5+15=20', '82-20=62']
Exploring Operation: 10+62=72, Resulting Numbers: [72]
72,43 unequal: No Solution
Exploring Operation: 62-10=52, Resulting Numbers: [52]
52,43 unequal: No Solution
Exploring Operation: 10*62=620, Resulting Numbers: [620]
620,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 43:[82, 30], Operations: ['5+15=20', '10+20=30']
Exploring Operation: 82*30=2460, Resulting Numbers: [2460]
2460,43 unequal: No Solution
Exploring Operation: 82-30=52, Resulting Numbers: [52]
52,43 unequal: No Solution
Exploring Operation: 82+30=112, Resulting Numbers: [112]
112,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 43:[20, 92], Operations: ['5+15=20', '82+10=92']
Exploring Operation: 20*92=1840, Resulting Numbers: [1840]
1840,43 unequal: No Solution
Exploring Operation: 20+92=112, Resulting Numbers: [112]
112,43 unequal: No Solution
Exploring Operation: 92-20=72, Resulting Numbers: [72]
72,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 43:[82, 10], Operations: ['5+15=20', '20-10=10']
Exploring Operation: 82*10=820, Resulting Numbers: [820]
820,43 unequal: No Solution
Exploring Operation: 82-10=72, Resulting Numbers: [72]
72,43 unequal: No Solution
Exploring Operation: 82+10=92, Resulting Numbers: [92]
92,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 43:[15, 82, 15], Operations: ['5+10=15']
Exploring Operation: 15+15=30, Resulting Numbers: [82, 30]
Generated Node #0,2,0: 43:[82, 30] Operation: 15+15=30
Exploring Operation: 15+82=97, Resulting Numbers: [15, 97]
Generated Node #0,2,1: 43:[15, 97] Operation: 15+82=97
Exploring Operation: 82-15=67, Resulting Numbers: [15, 67]
Generated Node #0,2,2: 43:[15, 67] Operation: 82-15=67
Exploring Operation: 82-15=67, Resulting Numbers: [15, 67]
Generated Node #0,2,3: 43:[15, 67] Operation: 82-15=67
Exploring Operation: 15/15=1, Resulting Numbers: [82, 1]
Generated Node #0,2,4: 43:[82, 1] Operation: 15/15=1
Moving to Node #0,2,0
Current State: 43:[82, 30], Operations: ['5+10=15', '15+15=30']
Exploring Operation: 82+30=112, Resulting Numbers: [112]
112,43 unequal: No Solution
Exploring Operation: 82*30=2460, Resulting Numbers: [2460]
2460,43 unequal: No Solution
Exploring Operation: 82-30=52, Resulting Numbers: [52]
52,43 unequal: No Solution
Moving to Node #0,2,3
Current State: 43:[15, 67], Operations: ['5+10=15', '82-15=67']
Exploring Operation: 15+67=82, Resulting Numbers: [82]
82,43 unequal: No Solution
Exploring Operation: 67-15=52, Resulting Numbers: [52]
52,43 unequal: No Solution
Exploring Operation: 15*67=1005, Resulting Numbers: [1005]
1005,43 unequal: No Solution
Moving to Node #0,2,2
Current State: 43:[15, 67], Operations: ['5+10=15', '82-15=67']
Exploring Operation: 67-15=52, Resulting Numbers: [52]
52,43 unequal: No Solution
Exploring Operation: 15+67=82, Resulting Numbers: [82]
82,43 unequal: No Solution
Exploring Operation: 15*67=1005, Resulting Numbers: [1005]
1005,43 unequal: No Solution
Moving to Node #0,2,4
Current State: 43:[82, 1], Operations: ['5+10=15', '15/15=1']
Exploring Operation: 82/1=82, Resulting Numbers: [82]
82,43 unequal: No Solution
Exploring Operation: 82+1=83, Resulting Numbers: [83]
83,43 unequal: No Solution
Exploring Operation: 82*1=82, Resulting Numbers: [82]
82,43 unequal: No Solution
Exploring Operation: 82-1=81, Resulting Numbers: [81]
81,43 unequal: No Solution
Moving to Node #0,2,1
Current State: 43:[15, 97], Operations: ['5+10=15', '15+82=97']
Exploring Operation: 15*97=1455, Resulting Numbers: [1455]
1455,43 unequal: No Solution
Exploring Operation: 97-15=82, Resulting Numbers: [82]
82,43 unequal: No Solution
Exploring Operation: 15+97=112, Resulting Numbers: [112]
112,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 43:[15, 10, 77], Operations: ['82-5=77']
Exploring Operation: 15-10=5, Resulting Numbers: [77, 5]
Generated Node #0,3,0: 43:[77, 5] Operation: 15-10=5
Exploring Operation: 15+10=25, Resulting Numbers: [77, 25]
Generated Node #0,3,1: 43:[77, 25] Operation: 15+10=25
Exploring Operation: 10+77=87, Resulting Numbers: [15, 87]
Generated Node #0,3,2: 43:[15, 87] Operation: 10+77=87
Exploring Operation: 77-10=67, Resulting Numbers: [15, 67]
Generated Node #0,3,3: 43:[15, 67] Operation: 77-10=67
Exploring Operation: 77-15=62, Resulting Numbers: [10, 62]
Generated Node #0,3,4: 43:[10, 62] Operation: 77-15=62
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 43:[77, 25], Operations: ['82-5=77', '15+10=25']
Exploring Operation: 77*25=1925, Resulting Numbers: [1925]
1925,43 unequal: No Solution
Exploring Operation: 77+25=102, Resulting Numbers: [102]
102,43 unequal: No Solution
Exploring Operation: 77-25=52, Resulting Numbers: [52]
52,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 43:[15, 67], Operations: ['82-5=77', '77-10=67']
Exploring Operation: 15+67=82, Resulting Numbers: [82]
82,43 unequal: No Solution
Exploring Operation: 15*67=1005, Resulting Numbers: [1005]
1005,43 unequal: No Solution
Exploring Operation: 67-15=52, Resulting Numbers: [52]
52,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 43:[10, 62], Operations: ['82-5=77', '77-15=62']
Exploring Operation: 62-10=52, Resulting Numbers: [52]
52,43 unequal: No Solution
Exploring Operation: 10*62=620, Resulting Numbers: [620]
620,43 unequal: No Solution
Exploring Operation: 10+62=72, Resulting Numbers: [72]
72,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 43:[77, 5], Operations: ['82-5=77', '15-10=5']
Exploring Operation: 77+5=82, Resulting Numbers: [82]
82,43 unequal: No Solution
Exploring Operation: 77-5=72, Resulting Numbers: [72]
72,43 unequal: No Solution
Exploring Operation: 77*5=385, Resulting Numbers: [385]
385,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 43:[15, 87], Operations: ['82-5=77', '10+77=87']
Exploring Operation: 15+87=102, Resulting Numbers: [102]
102,43 unequal: No Solution
Exploring Operation: 87-15=72, Resulting Numbers: [72]
72,43 unequal: No Solution
Exploring Operation: 15*87=1305, Resulting Numbers: [1305]
1305,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
74,
59,
7,
38
] | 46 |
[
"74-59=15",
"38-7=31",
"15+31=46"
] |
Current State: 46:[74, 59, 7, 38], Operations: []
Exploring Operation: 74-59=15, Resulting Numbers: [7, 38, 15]
Generated Node #2: [7, 38, 15] from Operation: 74-59=15
Current State: 46:[7, 38, 15], Operations: ['74-59=15']
Exploring Operation: 38-7=31, Resulting Numbers: [15, 31]
Generated Node #3: [15, 31] from Operation: 38-7=31
Current State: 46:[15, 31], Operations: ['74-59=15', '38-7=31']
Exploring Operation: 15+31=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
Current State: 46:[74, 59, 7, 38], Operations: []
Exploring Operation: 74-7=67, Resulting Numbers: [59, 38, 67]
Generated Node #0,0: 46:[59, 38, 67] Operation: 74-7=67
Exploring Operation: 74-59=15, Resulting Numbers: [7, 38, 15]
Generated Node #0,1: 46:[7, 38, 15] Operation: 74-59=15
Exploring Operation: 74-38=36, Resulting Numbers: [59, 7, 36]
Generated Node #0,2: 46:[59, 7, 36] Operation: 74-38=36
Exploring Operation: 59-38=21, Resulting Numbers: [74, 7, 21]
Generated Node #0,3: 46:[74, 7, 21] Operation: 59-38=21
Moving to Node #0,1
Current State: 46:[7, 38, 15], Operations: ['74-59=15']
Exploring Operation: 7+15=22, Resulting Numbers: [38, 22]
Generated Node #0,1,0: 46:[38, 22] Operation: 7+15=22
Exploring Operation: 38-15=23, Resulting Numbers: [7, 23]
Generated Node #0,1,1: 46:[7, 23] Operation: 38-15=23
Exploring Operation: 7+38=45, Resulting Numbers: [15, 45]
Generated Node #0,1,2: 46:[15, 45] Operation: 7+38=45
Exploring Operation: 38+15=53, Resulting Numbers: [7, 53]
Generated Node #0,1,3: 46:[7, 53] Operation: 38+15=53
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 46:[7, 23], Operations: ['74-59=15', '38-15=23']
Exploring Operation: 7*23=161, Resulting Numbers: [161]
161,46 unequal: No Solution
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,46 unequal: No Solution
Exploring Operation: 7+23=30, Resulting Numbers: [30]
30,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 46:[38, 22], Operations: ['74-59=15', '7+15=22']
Exploring Operation: 38*22=836, Resulting Numbers: [836]
836,46 unequal: No Solution
Exploring Operation: 38-22=16, Resulting Numbers: [16]
16,46 unequal: No Solution
Exploring Operation: 38+22=60, Resulting Numbers: [60]
60,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 46:[15, 45], Operations: ['74-59=15', '7+38=45']
Exploring Operation: 45/15=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Exploring Operation: 15+45=60, Resulting Numbers: [60]
60,46 unequal: No Solution
Exploring Operation: 45-15=30, Resulting Numbers: [30]
30,46 unequal: No Solution
Exploring Operation: 15*45=675, Resulting Numbers: [675]
675,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 46:[7, 53], Operations: ['74-59=15', '38+15=53']
Exploring Operation: 7*53=371, Resulting Numbers: [371]
371,46 unequal: No Solution
Exploring Operation: 7+53=60, Resulting Numbers: [60]
60,46 unequal: No Solution
Exploring Operation: 53-7=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[74, 59, 7, 38], Operations: []
Exploring Operation: 74-59=15, Resulting Numbers: [7, 38, 15]
Generated Node #0,1: 46:[7, 38, 15] Operation: 74-59=15
Moving to Node #0,1
Current State: 46:[7, 38, 15], Operations: ['74-59=15']
Exploring Operation: 38+15=53, Resulting Numbers: [7, 53]
Generated Node #0,1,3: 46:[7, 53] Operation: 38+15=53
Moving to Node #0,1,3
Current State: 46:[7, 53], Operations: ['74-59=15', '38+15=53']
Exploring Operation: 53-7=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 |
hs_4
|
sum_heuristic
|
[
50,
61,
6,
68
] | 92 |
[
"68-61=7",
"6*7=42",
"50+42=92"
] |
Current State: 92:[50, 61, 6, 68], Operations: []
Exploring Operation: 68-61=7, Resulting Numbers: [50, 6, 7]
Generated Node #2: [50, 6, 7] from Operation: 68-61=7
Current State: 92:[50, 6, 7], Operations: ['68-61=7']
Exploring Operation: 6*7=42, Resulting Numbers: [50, 42]
Generated Node #3: [50, 42] from Operation: 6*7=42
Current State: 92:[50, 42], Operations: ['68-61=7', '6*7=42']
Exploring Operation: 50+42=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
Current State: 92:[50, 61, 6, 68], Operations: []
Exploring Operation: 68-50=18, Resulting Numbers: [61, 6, 18]
Generated Node #0,0: 92:[61, 6, 18] Operation: 68-50=18
Exploring Operation: 68-61=7, Resulting Numbers: [50, 6, 7]
Generated Node #0,1: 92:[50, 6, 7] Operation: 68-61=7
Moving to Node #0,1
Current State: 92:[50, 6, 7], Operations: ['68-61=7']
Exploring Operation: 50-6=44, Resulting Numbers: [7, 44]
Generated Node #0,1,0: 92:[7, 44] Operation: 50-6=44
Exploring Operation: 50-7=43, Resulting Numbers: [6, 43]
Generated Node #0,1,1: 92:[6, 43] Operation: 50-7=43
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 92:[7, 44], Operations: ['68-61=7', '50-6=44']
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,92 unequal: No Solution
Exploring Operation: 7+44=51, Resulting Numbers: [51]
51,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 92:[6, 43], Operations: ['68-61=7', '50-7=43']
Exploring Operation: 6+43=49, Resulting Numbers: [49]
49,92 unequal: No Solution
Exploring Operation: 43-6=37, Resulting Numbers: [37]
37,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 92:[61, 6, 18], Operations: ['68-50=18']
Exploring Operation: 61-18=43, Resulting Numbers: [6, 43]
Generated Node #0,0,0: 92:[6, 43] Operation: 61-18=43
Exploring Operation: 61-6=55, Resulting Numbers: [18, 55]
Generated Node #0,0,1: 92:[18, 55] Operation: 61-6=55
Moving to Node #0,0,0
Current State: 92:[6, 43], Operations: ['68-50=18', '61-18=43']
Exploring Operation: 43-6=37, Resulting Numbers: [37]
37,92 unequal: No Solution
Exploring Operation: 6+43=49, Resulting Numbers: [49]
49,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[18, 55], Operations: ['68-50=18', '61-6=55']
Exploring Operation: 55-18=37, Resulting Numbers: [37]
37,92 unequal: No Solution
Exploring Operation: 18+55=73, Resulting Numbers: [73]
73,92 unequal: No Solution
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
75,
26,
8,
42
] | 39 |
[
"75*26=1950",
"8+42=50",
"1950/50=39"
] |
Current State: 39:[75, 26, 8, 42], Operations: []
Exploring Operation: 75*26=1950, Resulting Numbers: [8, 42, 1950]
Generated Node #2: [8, 42, 1950] from Operation: 75*26=1950
Current State: 39:[8, 42, 1950], Operations: ['75*26=1950']
Exploring Operation: 8+42=50, Resulting Numbers: [1950, 50]
Generated Node #3: [1950, 50] from Operation: 8+42=50
Current State: 39:[1950, 50], Operations: ['75*26=1950', '8+42=50']
Exploring Operation: 1950/50=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
Current State: 39:[75, 26, 8, 42], Operations: []
Exploring Operation: 75-42=33, Resulting Numbers: [26, 8, 33]
Generated Node #0,0: 39:[26, 8, 33] Operation: 75-42=33
Exploring Operation: 75-26=49, Resulting Numbers: [8, 42, 49]
Generated Node #0,1: 39:[8, 42, 49] Operation: 75-26=49
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[8, 42, 49], Operations: ['75-26=49']
Exploring Operation: 49-8=41, Resulting Numbers: [42, 41]
Generated Node #0,1,0: 39:[42, 41] Operation: 49-8=41
Exploring Operation: 49-42=7, Resulting Numbers: [8, 7]
Generated Node #0,1,1: 39:[8, 7] Operation: 49-42=7
Moving to Node #0,1,0
Current State: 39:[42, 41], Operations: ['75-26=49', '49-8=41']
Exploring Operation: 42+41=83, Resulting Numbers: [83]
83,39 unequal: No Solution
Exploring Operation: 42-41=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Moving to Node #0,1,1
Current State: 39:[8, 7], Operations: ['75-26=49', '49-42=7']
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,39 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[26, 8, 33], Operations: ['75-42=33']
Exploring Operation: 26+8=34, Resulting Numbers: [33, 34]
Generated Node #0,0,0: 39:[33, 34] Operation: 26+8=34
Exploring Operation: 33-26=7, Resulting Numbers: [8, 7]
Generated Node #0,0,1: 39:[8, 7] Operation: 33-26=7
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 39:[8, 7], Operations: ['75-42=33', '33-26=7']
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,39 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 39:[33, 34], Operations: ['75-42=33', '26+8=34']
Exploring Operation: 34-33=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Exploring Operation: 33+34=67, Resulting Numbers: [67]
67,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
1,
97,
30,
98
] | 28 |
[
"97-1=96",
"98-30=68",
"96-68=28"
] |
Current State: 28:[1, 97, 30, 98], Operations: []
Exploring Operation: 97-1=96, Resulting Numbers: [30, 98, 96]
Generated Node #2: [30, 98, 96] from Operation: 97-1=96
Current State: 28:[30, 98, 96], Operations: ['97-1=96']
Exploring Operation: 98-30=68, Resulting Numbers: [96, 68]
Generated Node #3: [96, 68] from Operation: 98-30=68
Current State: 28:[96, 68], Operations: ['97-1=96', '98-30=68']
Exploring Operation: 96-68=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
Current State: 28:[1, 97, 30, 98], Operations: []
Exploring Operation: 97-30=67, Resulting Numbers: [1, 98, 67]
Generated Node #0,0: 28:[1, 98, 67] Operation: 97-30=67
Exploring Operation: 97-1=96, Resulting Numbers: [30, 98, 96]
Generated Node #0,1: 28:[30, 98, 96] Operation: 97-1=96
Exploring Operation: 98-30=68, Resulting Numbers: [1, 97, 68]
Generated Node #0,2: 28:[1, 97, 68] Operation: 98-30=68
Exploring Operation: 98-97=1, Resulting Numbers: [1, 30, 1]
Generated Node #0,3: 28:[1, 30, 1] Operation: 98-97=1
Exploring Operation: 30-1=29, Resulting Numbers: [97, 98, 29]
Generated Node #0,4: 28:[97, 98, 29] Operation: 30-1=29
Start Sub Search at level 1: Moving to Node #0,3
Current State: 28:[1, 30, 1], Operations: ['98-97=1']
Exploring Operation: 30-1=29, Resulting Numbers: [1, 29]
Generated Node #0,3,0: 28:[1, 29] Operation: 30-1=29
Exploring Operation: 1*30=30, Resulting Numbers: [1, 30]
Generated Node #0,3,1: 28:[1, 30] Operation: 1*30=30
Exploring Operation: 1+1=2, Resulting Numbers: [30, 2]
Generated Node #0,3,2: 28:[30, 2] Operation: 1+1=2
Exploring Operation: 30-1=29, Resulting Numbers: [1, 29]
Generated Node #0,3,3: 28:[1, 29] Operation: 30-1=29
Exploring Operation: 30/1=30, Resulting Numbers: [1, 30]
Generated Node #0,3,4: 28:[1, 30] Operation: 30/1=30
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 28:[1, 29], Operations: ['98-97=1', '30-1=29']
Exploring Operation: 1+29=30, Resulting Numbers: [30]
30,28 unequal: No Solution
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[1, 97, 30, 98], Operations: []
Exploring Operation: 98-97=1, Resulting Numbers: [1, 30, 1]
Generated Node #0,3: 28:[1, 30, 1] Operation: 98-97=1
Moving to Node #0,3
Current State: 28:[1, 30, 1], Operations: ['98-97=1']
Exploring Operation: 30-1=29, Resulting Numbers: [1, 29]
Generated Node #0,3,0: 28:[1, 29] Operation: 30-1=29
Moving to Node #0,3,0
Current State: 28:[1, 29], Operations: ['98-97=1', '30-1=29']
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 |
hs_5
|
sum_heuristic
|
[
5,
74,
2,
98
] | 88 |
[
"5+2=7",
"98/7=14",
"74+14=88"
] |
Current State: 88:[5, 74, 2, 98], Operations: []
Exploring Operation: 5+2=7, Resulting Numbers: [74, 98, 7]
Generated Node #2: [74, 98, 7] from Operation: 5+2=7
Current State: 88:[74, 98, 7], Operations: ['5+2=7']
Exploring Operation: 98/7=14, Resulting Numbers: [74, 14]
Generated Node #3: [74, 14] from Operation: 98/7=14
Current State: 88:[74, 14], Operations: ['5+2=7', '98/7=14']
Exploring Operation: 74+14=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
Current State: 88:[5, 74, 2, 98], Operations: []
Exploring Operation: 98-5=93, Resulting Numbers: [74, 2, 93]
Generated Node #0,0: 88:[74, 2, 93] Operation: 98-5=93
Exploring Operation: 74/2=37, Resulting Numbers: [5, 98, 37]
Generated Node #0,1: 88:[5, 98, 37] Operation: 74/2=37
Exploring Operation: 98-74=24, Resulting Numbers: [5, 2, 24]
Generated Node #0,2: 88:[5, 2, 24] Operation: 98-74=24
Exploring Operation: 5+74=79, Resulting Numbers: [2, 98, 79]
Generated Node #0,3: 88:[2, 98, 79] Operation: 5+74=79
Moving to Node #0,2
Current State: 88:[5, 2, 24], Operations: ['98-74=24']
Exploring Operation: 5*2=10, Resulting Numbers: [24, 10]
Generated Node #0,2,0: 88:[24, 10] Operation: 5*2=10
Exploring Operation: 24/2=12, Resulting Numbers: [5, 12]
Generated Node #0,2,1: 88:[5, 12] Operation: 24/2=12
Exploring Operation: 24-2=22, Resulting Numbers: [5, 22]
Generated Node #0,2,2: 88:[5, 22] Operation: 24-2=22
Exploring Operation: 5+2=7, Resulting Numbers: [24, 7]
Generated Node #0,2,3: 88:[24, 7] Operation: 5+2=7
Moving to Node #0,1
Current State: 88:[5, 98, 37], Operations: ['74/2=37']
Exploring Operation: 5+37=42, Resulting Numbers: [98, 42]
Generated Node #0,1,0: 88:[98, 42] Operation: 5+37=42
Exploring Operation: 98-5=93, Resulting Numbers: [37, 93]
Generated Node #0,1,1: 88:[37, 93] Operation: 98-5=93
Exploring Operation: 37-5=32, Resulting Numbers: [98, 32]
Generated Node #0,1,2: 88:[98, 32] Operation: 37-5=32
Exploring Operation: 98-37=61, Resulting Numbers: [5, 61]
Generated Node #0,1,3: 88:[5, 61] Operation: 98-37=61
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 88:[98, 42], Operations: ['74/2=37', '5+37=42']
Exploring Operation: 98*42=4116, Resulting Numbers: [4116]
4116,88 unequal: No Solution
Exploring Operation: 98+42=140, Resulting Numbers: [140]
140,88 unequal: No Solution
Exploring Operation: 98-42=56, Resulting Numbers: [56]
56,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 88:[37, 93], Operations: ['74/2=37', '98-5=93']
Exploring Operation: 37*93=3441, Resulting Numbers: [3441]
3441,88 unequal: No Solution
Exploring Operation: 93-37=56, Resulting Numbers: [56]
56,88 unequal: No Solution
Exploring Operation: 37+93=130, Resulting Numbers: [130]
130,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 88:[5, 61], Operations: ['74/2=37', '98-37=61']
Exploring Operation: 5+61=66, Resulting Numbers: [66]
66,88 unequal: No Solution
Exploring Operation: 5*61=305, Resulting Numbers: [305]
305,88 unequal: No Solution
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 88:[98, 32], Operations: ['74/2=37', '37-5=32']
Exploring Operation: 98-32=66, Resulting Numbers: [66]
66,88 unequal: No Solution
Exploring Operation: 98*32=3136, Resulting Numbers: [3136]
3136,88 unequal: No Solution
Exploring Operation: 98+32=130, Resulting Numbers: [130]
130,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 88:[2, 98, 79], Operations: ['5+74=79']
Exploring Operation: 98-2=96, Resulting Numbers: [79, 96]
Generated Node #0,3,0: 88:[79, 96] Operation: 98-2=96
Exploring Operation: 98-79=19, Resulting Numbers: [2, 19]
Generated Node #0,3,1: 88:[2, 19] Operation: 98-79=19
Exploring Operation: 98/2=49, Resulting Numbers: [79, 49]
Generated Node #0,3,2: 88:[79, 49] Operation: 98/2=49
Exploring Operation: 2+79=81, Resulting Numbers: [98, 81]
Generated Node #0,3,3: 88:[98, 81] Operation: 2+79=81
Moving to Node #0,0
Current State: 88:[74, 2, 93], Operations: ['98-5=93']
Exploring Operation: 93-74=19, Resulting Numbers: [2, 19]
Generated Node #0,0,0: 88:[2, 19] Operation: 93-74=19
Exploring Operation: 74/2=37, Resulting Numbers: [93, 37]
Generated Node #0,0,1: 88:[93, 37] Operation: 74/2=37
Exploring Operation: 93-2=91, Resulting Numbers: [74, 91]
Generated Node #0,0,2: 88:[74, 91] Operation: 93-2=91
Exploring Operation: 74+2=76, Resulting Numbers: [93, 76]
Generated Node #0,0,3: 88:[93, 76] Operation: 74+2=76
Moving to Node #0,2,2
Current State: 88:[5, 22], Operations: ['98-74=24', '24-2=22']
Exploring Operation: 5*22=110, Resulting Numbers: [110]
110,88 unequal: No Solution
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Exploring Operation: 5+22=27, Resulting Numbers: [27]
27,88 unequal: No Solution
Moving to Node #0,2,1
Current State: 88:[5, 12], Operations: ['98-74=24', '24/2=12']
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,88 unequal: No Solution
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,88 unequal: No Solution
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Moving to Node #0,2,0
Current State: 88:[24, 10], Operations: ['98-74=24', '5*2=10']
Exploring Operation: 24*10=240, Resulting Numbers: [240]
240,88 unequal: No Solution
Exploring Operation: 24+10=34, Resulting Numbers: [34]
34,88 unequal: No Solution
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,88 unequal: No Solution
Moving to Node #0,3,1
Current State: 88:[2, 19], Operations: ['5+74=79', '98-79=19']
Exploring Operation: 2+19=21, Resulting Numbers: [21]
21,88 unequal: No Solution
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,88 unequal: No Solution
Moving to Node #0,2,3
Current State: 88:[24, 7], Operations: ['98-74=24', '5+2=7']
Exploring Operation: 24+7=31, Resulting Numbers: [31]
31,88 unequal: No Solution
Exploring Operation: 24*7=168, Resulting Numbers: [168]
168,88 unequal: No Solution
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Moving to Node #0,0,0
Current State: 88:[2, 19], Operations: ['98-5=93', '93-74=19']
Exploring Operation: 2+19=21, Resulting Numbers: [21]
21,88 unequal: No Solution
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,88 unequal: No Solution
Moving to Node #0,0,1
Current State: 88:[93, 37], Operations: ['98-5=93', '74/2=37']
Exploring Operation: 93*37=3441, Resulting Numbers: [3441]
3441,88 unequal: No Solution
Exploring Operation: 93-37=56, Resulting Numbers: [56]
56,88 unequal: No Solution
Exploring Operation: 93+37=130, Resulting Numbers: [130]
130,88 unequal: No Solution
Moving to Node #0,3,2
Current State: 88:[79, 49], Operations: ['5+74=79', '98/2=49']
Exploring Operation: 79+49=128, Resulting Numbers: [128]
128,88 unequal: No Solution
Exploring Operation: 79*49=3871, Resulting Numbers: [3871]
3871,88 unequal: No Solution
Exploring Operation: 79-49=30, Resulting Numbers: [30]
30,88 unequal: No Solution
Moving to Node #0,0,2
Current State: 88:[74, 91], Operations: ['98-5=93', '93-2=91']
Exploring Operation: 74+91=165, Resulting Numbers: [165]
165,88 unequal: No Solution
Exploring Operation: 91-74=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Exploring Operation: 74*91=6734, Resulting Numbers: [6734]
6734,88 unequal: No Solution
Moving to Node #0,3,0
Current State: 88:[79, 96], Operations: ['5+74=79', '98-2=96']
Exploring Operation: 96-79=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Exploring Operation: 79+96=175, Resulting Numbers: [175]
175,88 unequal: No Solution
Exploring Operation: 79*96=7584, Resulting Numbers: [7584]
7584,88 unequal: No Solution
Moving to Node #0,0,3
Current State: 88:[93, 76], Operations: ['98-5=93', '74+2=76']
Exploring Operation: 93*76=7068, Resulting Numbers: [7068]
7068,88 unequal: No Solution
Exploring Operation: 93-76=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Exploring Operation: 93+76=169, Resulting Numbers: [169]
169,88 unequal: No Solution
Moving to Node #0,3,3
Current State: 88:[98, 81], Operations: ['5+74=79', '2+79=81']
Exploring Operation: 98-81=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Exploring Operation: 98*81=7938, Resulting Numbers: [7938]
7938,88 unequal: No Solution
Exploring Operation: 98+81=179, Resulting Numbers: [179]
179,88 unequal: No Solution
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
13,
58,
67,
36
] | 17 |
[
"67-58=9",
"36/9=4",
"13+4=17"
] |
Current State: 17:[13, 58, 67, 36], Operations: []
Exploring Operation: 67-58=9, Resulting Numbers: [13, 36, 9]
Generated Node #2: [13, 36, 9] from Operation: 67-58=9
Current State: 17:[13, 36, 9], Operations: ['67-58=9']
Exploring Operation: 36/9=4, Resulting Numbers: [13, 4]
Generated Node #3: [13, 4] from Operation: 36/9=4
Current State: 17:[13, 4], Operations: ['67-58=9', '36/9=4']
Exploring Operation: 13+4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
Current State: 17:[13, 58, 67, 36], Operations: []
Exploring Operation: 67-58=9, Resulting Numbers: [13, 36, 9]
Generated Node #0,0: 17:[13, 36, 9] Operation: 67-58=9
Exploring Operation: 58-36=22, Resulting Numbers: [13, 67, 22]
Generated Node #0,1: 17:[13, 67, 22] Operation: 58-36=22
Moving to Node #0,0
Current State: 17:[13, 36, 9], Operations: ['67-58=9']
Exploring Operation: 36-9=27, Resulting Numbers: [13, 27]
Generated Node #0,0,0: 17:[13, 27] Operation: 36-9=27
Exploring Operation: 36-13=23, Resulting Numbers: [9, 23]
Generated Node #0,0,1: 17:[9, 23] Operation: 36-13=23
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 17:[13, 27], Operations: ['67-58=9', '36-9=27']
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,17 unequal: No Solution
Exploring Operation: 13+27=40, Resulting Numbers: [40]
40,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 17:[9, 23], Operations: ['67-58=9', '36-13=23']
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,17 unequal: No Solution
Exploring Operation: 9+23=32, Resulting Numbers: [32]
32,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 17:[13, 67, 22], Operations: ['58-36=22']
Exploring Operation: 67-22=45, Resulting Numbers: [13, 45]
Generated Node #0,1,0: 17:[13, 45] Operation: 67-22=45
Exploring Operation: 67-13=54, Resulting Numbers: [22, 54]
Generated Node #0,1,1: 17:[22, 54] Operation: 67-13=54
Moving to Node #0,1,0
Current State: 17:[13, 45], Operations: ['58-36=22', '67-22=45']
Exploring Operation: 45-13=32, Resulting Numbers: [32]
32,17 unequal: No Solution
Exploring Operation: 13+45=58, Resulting Numbers: [58]
58,17 unequal: No Solution
Moving to Node #0,1,1
Current State: 17:[22, 54], Operations: ['58-36=22', '67-13=54']
Exploring Operation: 54-22=32, Resulting Numbers: [32]
32,17 unequal: No Solution
Exploring Operation: 22+54=76, Resulting Numbers: [76]
76,17 unequal: No Solution
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
71,
27,
5,
8
] | 58 |
[
"71+27=98",
"5*8=40",
"98-40=58"
] |
Current State: 58:[71, 27, 5, 8], Operations: []
Exploring Operation: 71+27=98, Resulting Numbers: [5, 8, 98]
Generated Node #2: [5, 8, 98] from Operation: 71+27=98
Current State: 58:[5, 8, 98], Operations: ['71+27=98']
Exploring Operation: 5*8=40, Resulting Numbers: [98, 40]
Generated Node #3: [98, 40] from Operation: 5*8=40
Current State: 58:[98, 40], Operations: ['71+27=98', '5*8=40']
Exploring Operation: 98-40=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
Current State: 58:[71, 27, 5, 8], Operations: []
Exploring Operation: 8-5=3, Resulting Numbers: [71, 27, 3]
Generated Node #0,0: 58:[71, 27, 3] Operation: 8-5=3
Exploring Operation: 71-5=66, Resulting Numbers: [27, 8, 66]
Generated Node #0,1: 58:[27, 8, 66] Operation: 71-5=66
Exploring Operation: 71-8=63, Resulting Numbers: [27, 5, 63]
Generated Node #0,2: 58:[27, 5, 63] Operation: 71-8=63
Moving to Node #0,2
Current State: 58:[27, 5, 63], Operations: ['71-8=63']
Exploring Operation: 63-5=58, Resulting Numbers: [27, 58]
Generated Node #0,2,0: 58:[27, 58] Operation: 63-5=58
Exploring Operation: 27+5=32, Resulting Numbers: [63, 32]
Generated Node #0,2,1: 58:[63, 32] Operation: 27+5=32
Exploring Operation: 63-27=36, Resulting Numbers: [5, 36]
Generated Node #0,2,2: 58:[5, 36] Operation: 63-27=36
Moving to Node #0,0
Current State: 58:[71, 27, 3], Operations: ['8-5=3']
Exploring Operation: 71-27=44, Resulting Numbers: [3, 44]
Generated Node #0,0,0: 58:[3, 44] Operation: 71-27=44
Exploring Operation: 27+3=30, Resulting Numbers: [71, 30]
Generated Node #0,0,1: 58:[71, 30] Operation: 27+3=30
Exploring Operation: 71-3=68, Resulting Numbers: [27, 68]
Generated Node #0,0,2: 58:[27, 68] Operation: 71-3=68
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 58:[27, 68], Operations: ['8-5=3', '71-3=68']
Exploring Operation: 27+68=95, Resulting Numbers: [95]
95,58 unequal: No Solution
Exploring Operation: 68-27=41, Resulting Numbers: [41]
41,58 unequal: No Solution
Exploring Operation: 27*68=1836, Resulting Numbers: [1836]
1836,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 58:[71, 30], Operations: ['8-5=3', '27+3=30']
Exploring Operation: 71*30=2130, Resulting Numbers: [2130]
2130,58 unequal: No Solution
Exploring Operation: 71+30=101, Resulting Numbers: [101]
101,58 unequal: No Solution
Exploring Operation: 71-30=41, Resulting Numbers: [41]
41,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[3, 44], Operations: ['8-5=3', '71-27=44']
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,58 unequal: No Solution
Exploring Operation: 3+44=47, Resulting Numbers: [47]
47,58 unequal: No Solution
Exploring Operation: 3*44=132, Resulting Numbers: [132]
132,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 58:[27, 8, 66], Operations: ['71-5=66']
Exploring Operation: 66-27=39, Resulting Numbers: [8, 39]
Generated Node #0,1,0: 58:[8, 39] Operation: 66-27=39
Exploring Operation: 66-8=58, Resulting Numbers: [27, 58]
Generated Node #0,1,1: 58:[27, 58] Operation: 66-8=58
Exploring Operation: 27+8=35, Resulting Numbers: [66, 35]
Generated Node #0,1,2: 58:[66, 35] Operation: 27+8=35
Moving to Node #0,2,0
Current State: 58:[27, 58], Operations: ['71-8=63', '63-5=58']
Exploring Operation: 27+58=85, Resulting Numbers: [85]
85,58 unequal: No Solution
Exploring Operation: 58-27=31, Resulting Numbers: [31]
31,58 unequal: No Solution
Exploring Operation: 27*58=1566, Resulting Numbers: [1566]
1566,58 unequal: No Solution
Moving to Node #0,1,1
Current State: 58:[27, 58], Operations: ['71-5=66', '66-8=58']
Exploring Operation: 27+58=85, Resulting Numbers: [85]
85,58 unequal: No Solution
Exploring Operation: 58-27=31, Resulting Numbers: [31]
31,58 unequal: No Solution
Exploring Operation: 27*58=1566, Resulting Numbers: [1566]
1566,58 unequal: No Solution
Moving to Node #0,2,1
Current State: 58:[63, 32], Operations: ['71-8=63', '27+5=32']
Exploring Operation: 63-32=31, Resulting Numbers: [31]
31,58 unequal: No Solution
Exploring Operation: 63+32=95, Resulting Numbers: [95]
95,58 unequal: No Solution
Exploring Operation: 63*32=2016, Resulting Numbers: [2016]
2016,58 unequal: No Solution
Moving to Node #0,2,2
Current State: 58:[5, 36], Operations: ['71-8=63', '63-27=36']
Exploring Operation: 5+36=41, Resulting Numbers: [41]
41,58 unequal: No Solution
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,58 unequal: No Solution
Exploring Operation: 5*36=180, Resulting Numbers: [180]
180,58 unequal: No Solution
Moving to Node #0,1,2
Current State: 58:[66, 35], Operations: ['71-5=66', '27+8=35']
Exploring Operation: 66*35=2310, Resulting Numbers: [2310]
2310,58 unequal: No Solution
Exploring Operation: 66+35=101, Resulting Numbers: [101]
101,58 unequal: No Solution
Exploring Operation: 66-35=31, Resulting Numbers: [31]
31,58 unequal: No Solution
Moving to Node #0,1,0
Current State: 58:[8, 39], Operations: ['71-5=66', '66-27=39']
Exploring Operation: 8+39=47, Resulting Numbers: [47]
47,58 unequal: No Solution
Exploring Operation: 8*39=312, Resulting Numbers: [312]
312,58 unequal: No Solution
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,58 unequal: No Solution
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
58,
54,
22,
60
] | 98 |
[
"60-58=2",
"22*2=44",
"54+44=98"
] |
Current State: 98:[58, 54, 22, 60], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [54, 22, 2]
Generated Node #2: [54, 22, 2] from Operation: 60-58=2
Current State: 98:[54, 22, 2], Operations: ['60-58=2']
Exploring Operation: 22*2=44, Resulting Numbers: [54, 44]
Generated Node #3: [54, 44] from Operation: 22*2=44
Current State: 98:[54, 44], Operations: ['60-58=2', '22*2=44']
Exploring Operation: 54+44=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
Current State: 98:[58, 54, 22, 60], Operations: []
Exploring Operation: 58-54=4, Resulting Numbers: [22, 60, 4]
Generated Node #0,0: 98:[22, 60, 4] Operation: 58-54=4
Exploring Operation: 60-22=38, Resulting Numbers: [58, 54, 38]
Generated Node #0,1: 98:[58, 54, 38] Operation: 60-22=38
Exploring Operation: 60-54=6, Resulting Numbers: [58, 22, 6]
Generated Node #0,2: 98:[58, 22, 6] Operation: 60-54=6
Exploring Operation: 58-22=36, Resulting Numbers: [54, 60, 36]
Generated Node #0,3: 98:[54, 60, 36] Operation: 58-22=36
Exploring Operation: 60-58=2, Resulting Numbers: [54, 22, 2]
Generated Node #0,4: 98:[54, 22, 2] Operation: 60-58=2
Moving to Node #0,4
Current State: 98:[54, 22, 2], Operations: ['60-58=2']
Exploring Operation: 22*2=44, Resulting Numbers: [54, 44]
Generated Node #0,4,0: 98:[54, 44] Operation: 22*2=44
Exploring Operation: 54-2=52, Resulting Numbers: [22, 52]
Generated Node #0,4,1: 98:[22, 52] Operation: 54-2=52
Exploring Operation: 22-2=20, Resulting Numbers: [54, 20]
Generated Node #0,4,2: 98:[54, 20] Operation: 22-2=20
Exploring Operation: 22/2=11, Resulting Numbers: [54, 11]
Generated Node #0,4,3: 98:[54, 11] Operation: 22/2=11
Exploring Operation: 54+2=56, Resulting Numbers: [22, 56]
Generated Node #0,4,4: 98:[22, 56] Operation: 54+2=56
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 98:[54, 11], Operations: ['60-58=2', '22/2=11']
Exploring Operation: 54-11=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 54*11=594, Resulting Numbers: [594]
594,98 unequal: No Solution
Exploring Operation: 54+11=65, Resulting Numbers: [65]
65,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 98:[54, 44], Operations: ['60-58=2', '22*2=44']
Exploring Operation: 54+44=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[58, 54, 22, 60], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [54, 22, 2]
Generated Node #0,4: 98:[54, 22, 2] Operation: 60-58=2
Moving to Node #0,4
Current State: 98:[54, 22, 2], Operations: ['60-58=2']
Exploring Operation: 22*2=44, Resulting Numbers: [54, 44]
Generated Node #0,4,0: 98:[54, 44] Operation: 22*2=44
Moving to Node #0,4,0
Current State: 98:[54, 44], Operations: ['60-58=2', '22*2=44']
Exploring Operation: 54+44=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 |
hs_5
|
sum_heuristic
|
[
63,
97,
9,
48
] | 38 |
[
"63-48=15",
"9*15=135",
"135-97=38"
] |
Current State: 38:[63, 97, 9, 48], Operations: []
Exploring Operation: 63-48=15, Resulting Numbers: [97, 9, 15]
Generated Node #2: [97, 9, 15] from Operation: 63-48=15
Current State: 38:[97, 9, 15], Operations: ['63-48=15']
Exploring Operation: 9*15=135, Resulting Numbers: [97, 135]
Generated Node #3: [97, 135] from Operation: 9*15=135
Current State: 38:[97, 135], Operations: ['63-48=15', '9*15=135']
Exploring Operation: 135-97=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
Current State: 38:[63, 97, 9, 48], Operations: []
Exploring Operation: 97-48=49, Resulting Numbers: [63, 9, 49]
Generated Node #0,0: 38:[63, 9, 49] Operation: 97-48=49
Exploring Operation: 97-63=34, Resulting Numbers: [9, 48, 34]
Generated Node #0,1: 38:[9, 48, 34] Operation: 97-63=34
Moving to Node #0,1
Current State: 38:[9, 48, 34], Operations: ['97-63=34']
Exploring Operation: 48-34=14, Resulting Numbers: [9, 14]
Generated Node #0,1,0: 38:[9, 14] Operation: 48-34=14
Exploring Operation: 48-9=39, Resulting Numbers: [34, 39]
Generated Node #0,1,1: 38:[34, 39] Operation: 48-9=39
Moving to Node #0,0
Current State: 38:[63, 9, 49], Operations: ['97-48=49']
Exploring Operation: 63-49=14, Resulting Numbers: [9, 14]
Generated Node #0,0,0: 38:[9, 14] Operation: 63-49=14
Exploring Operation: 63/9=7, Resulting Numbers: [49, 7]
Generated Node #0,0,1: 38:[49, 7] Operation: 63/9=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 38:[9, 14], Operations: ['97-48=49', '63-49=14']
Exploring Operation: 9+14=23, Resulting Numbers: [23]
23,38 unequal: No Solution
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 38:[49, 7], Operations: ['97-48=49', '63/9=7']
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,38 unequal: No Solution
Exploring Operation: 49/7=7, Resulting Numbers: [7]
7,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 38:[34, 39], Operations: ['97-63=34', '48-9=39']
Exploring Operation: 39-34=5, Resulting Numbers: [5]
5,38 unequal: No Solution
Exploring Operation: 34+39=73, Resulting Numbers: [73]
73,38 unequal: No Solution
Moving to Node #0,1,0
Current State: 38:[9, 14], Operations: ['97-63=34', '48-34=14']
Exploring Operation: 9+14=23, Resulting Numbers: [23]
23,38 unequal: No Solution
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,38 unequal: No Solution
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
63,
3,
36,
66
] | 33 |
[
"63+36=99",
"99/3=33",
"66-33=33"
] |
Current State: 33:[63, 3, 36, 66], Operations: []
Exploring Operation: 63+36=99, Resulting Numbers: [3, 66, 99]
Generated Node #2: [3, 66, 99] from Operation: 63+36=99
Current State: 33:[3, 66, 99], Operations: ['63+36=99']
Exploring Operation: 99/3=33, Resulting Numbers: [66, 33]
Generated Node #3: [66, 33] from Operation: 99/3=33
Current State: 33:[66, 33], Operations: ['63+36=99', '99/3=33']
Exploring Operation: 66-33=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
Current State: 33:[63, 3, 36, 66], Operations: []
Exploring Operation: 66/3=22, Resulting Numbers: [63, 36, 22]
Generated Node #0,0: 33:[63, 36, 22] Operation: 66/3=22
Exploring Operation: 66-36=30, Resulting Numbers: [63, 3, 30]
Generated Node #0,1: 33:[63, 3, 30] Operation: 66-36=30
Exploring Operation: 66-63=3, Resulting Numbers: [3, 36, 3]
Generated Node #0,2: 33:[3, 36, 3] Operation: 66-63=3
Exploring Operation: 63-36=27, Resulting Numbers: [3, 66, 27]
Generated Node #0,3: 33:[3, 66, 27] Operation: 63-36=27
Exploring Operation: 63/3=21, Resulting Numbers: [36, 66, 21]
Generated Node #0,4: 33:[36, 66, 21] Operation: 63/3=21
Start Sub Search at level 1: Moving to Node #0,2
Current State: 33:[3, 36, 3], Operations: ['66-63=3']
Exploring Operation: 36/3=12, Resulting Numbers: [3, 12]
Generated Node #0,2,0: 33:[3, 12] Operation: 36/3=12
Exploring Operation: 36-3=33, Resulting Numbers: [3, 33]
Generated Node #0,2,1: 33:[3, 33] Operation: 36-3=33
Exploring Operation: 36-3=33, Resulting Numbers: [3, 33]
Generated Node #0,2,2: 33:[3, 33] Operation: 36-3=33
Exploring Operation: 36/3=12, Resulting Numbers: [3, 12]
Generated Node #0,2,3: 33:[3, 12] Operation: 36/3=12
Exploring Operation: 3*3=9, Resulting Numbers: [36, 9]
Generated Node #0,2,4: 33:[36, 9] Operation: 3*3=9
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 33:[3, 33], Operations: ['66-63=3', '36-3=33']
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,33 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,33 unequal: No Solution
Exploring Operation: 3+33=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 33:[3, 33], Operations: ['66-63=3', '36-3=33']
Exploring Operation: 3+33=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,33 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,33 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 33:[3, 12], Operations: ['66-63=3', '36/3=12']
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 33:[3, 12], Operations: ['66-63=3', '36/3=12']
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,33 unequal: No Solution
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 33:[36, 9], Operations: ['66-63=3', '3*3=9']
Exploring Operation: 36+9=45, Resulting Numbers: [45]
45,33 unequal: No Solution
Exploring Operation: 36*9=324, Resulting Numbers: [324]
324,33 unequal: No Solution
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,33 unequal: No Solution
Exploring Operation: 36/9=4, Resulting Numbers: [4]
4,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[63, 3, 30], Operations: ['66-36=30']
Exploring Operation: 63-30=33, Resulting Numbers: [3, 33]
Generated Node #0,1,0: 33:[3, 33] Operation: 63-30=33
Exploring Operation: 30/3=10, Resulting Numbers: [63, 10]
Generated Node #0,1,1: 33:[63, 10] Operation: 30/3=10
Exploring Operation: 63/3=21, Resulting Numbers: [30, 21]
Generated Node #0,1,2: 33:[30, 21] Operation: 63/3=21
Exploring Operation: 3+30=33, Resulting Numbers: [63, 33]
Generated Node #0,1,3: 33:[63, 33] Operation: 3+30=33
Exploring Operation: 63-3=60, Resulting Numbers: [30, 60]
Generated Node #0,1,4: 33:[30, 60] Operation: 63-3=60
Moving to Node #0,1,0
Current State: 33:[3, 33], Operations: ['66-36=30', '63-30=33']
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,33 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,33 unequal: No Solution
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,33 unequal: No Solution
Exploring Operation: 3+33=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Moving to Node #0,1,2
Current State: 33:[30, 21], Operations: ['66-36=30', '63/3=21']
Exploring Operation: 30+21=51, Resulting Numbers: [51]
51,33 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,33 unequal: No Solution
Exploring Operation: 30*21=630, Resulting Numbers: [630]
630,33 unequal: No Solution
Moving to Node #0,1,3
Current State: 33:[63, 33], Operations: ['66-36=30', '3+30=33']
Exploring Operation: 63*33=2079, Resulting Numbers: [2079]
2079,33 unequal: No Solution
Exploring Operation: 63-33=30, Resulting Numbers: [30]
30,33 unequal: No Solution
Exploring Operation: 63+33=96, Resulting Numbers: [96]
96,33 unequal: No Solution
Moving to Node #0,1,4
Current State: 33:[30, 60], Operations: ['66-36=30', '63-3=60']
Exploring Operation: 30+60=90, Resulting Numbers: [90]
90,33 unequal: No Solution
Exploring Operation: 60/30=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Exploring Operation: 30*60=1800, Resulting Numbers: [1800]
1800,33 unequal: No Solution
Exploring Operation: 60-30=30, Resulting Numbers: [30]
30,33 unequal: No Solution
Moving to Node #0,1,1
Current State: 33:[63, 10], Operations: ['66-36=30', '30/3=10']
Exploring Operation: 63-10=53, Resulting Numbers: [53]
53,33 unequal: No Solution
Exploring Operation: 63*10=630, Resulting Numbers: [630]
630,33 unequal: No Solution
Exploring Operation: 63+10=73, Resulting Numbers: [73]
73,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 33:[3, 66, 27], Operations: ['63-36=27']
Exploring Operation: 3+27=30, Resulting Numbers: [66, 30]
Generated Node #0,3,0: 33:[66, 30] Operation: 3+27=30
Exploring Operation: 66/3=22, Resulting Numbers: [27, 22]
Generated Node #0,3,1: 33:[27, 22] Operation: 66/3=22
Exploring Operation: 66-3=63, Resulting Numbers: [27, 63]
Generated Node #0,3,2: 33:[27, 63] Operation: 66-3=63
Exploring Operation: 27/3=9, Resulting Numbers: [66, 9]
Generated Node #0,3,3: 33:[66, 9] Operation: 27/3=9
Exploring Operation: 66-27=39, Resulting Numbers: [3, 39]
Generated Node #0,3,4: 33:[3, 39] Operation: 66-27=39
Moving to Node #0,3,4
Current State: 33:[3, 39], Operations: ['63-36=27', '66-27=39']
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,33 unequal: No Solution
Exploring Operation: 3+39=42, Resulting Numbers: [42]
42,33 unequal: No Solution
Exploring Operation: 3*39=117, Resulting Numbers: [117]
117,33 unequal: No Solution
Moving to Node #0,3,1
Current State: 33:[27, 22], Operations: ['63-36=27', '66/3=22']
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,33 unequal: No Solution
Exploring Operation: 27+22=49, Resulting Numbers: [49]
49,33 unequal: No Solution
Exploring Operation: 27*22=594, Resulting Numbers: [594]
594,33 unequal: No Solution
Moving to Node #0,3,3
Current State: 33:[66, 9], Operations: ['63-36=27', '27/3=9']
Exploring Operation: 66-9=57, Resulting Numbers: [57]
57,33 unequal: No Solution
Exploring Operation: 66+9=75, Resulting Numbers: [75]
75,33 unequal: No Solution
Exploring Operation: 66*9=594, Resulting Numbers: [594]
594,33 unequal: No Solution
Moving to Node #0,3,0
Current State: 33:[66, 30], Operations: ['63-36=27', '3+27=30']
Exploring Operation: 66-30=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Exploring Operation: 66*30=1980, Resulting Numbers: [1980]
1980,33 unequal: No Solution
Exploring Operation: 66+30=96, Resulting Numbers: [96]
96,33 unequal: No Solution
Moving to Node #0,3,2
Current State: 33:[27, 63], Operations: ['63-36=27', '66-3=63']
Exploring Operation: 63-27=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Exploring Operation: 27+63=90, Resulting Numbers: [90]
90,33 unequal: No Solution
Exploring Operation: 27*63=1701, Resulting Numbers: [1701]
1701,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[63, 36, 22], Operations: ['66/3=22']
Exploring Operation: 63-36=27, Resulting Numbers: [22, 27]
Generated Node #0,0,0: 33:[22, 27] Operation: 63-36=27
Exploring Operation: 63-22=41, Resulting Numbers: [36, 41]
Generated Node #0,0,1: 33:[36, 41] Operation: 63-22=41
Exploring Operation: 63+22=85, Resulting Numbers: [36, 85]
Generated Node #0,0,2: 33:[36, 85] Operation: 63+22=85
Exploring Operation: 36-22=14, Resulting Numbers: [63, 14]
Generated Node #0,0,3: 33:[63, 14] Operation: 36-22=14
Exploring Operation: 36+22=58, Resulting Numbers: [63, 58]
Generated Node #0,0,4: 33:[63, 58] Operation: 36+22=58
Moving to Node #0,0,1
Current State: 33:[36, 41], Operations: ['66/3=22', '63-22=41']
Exploring Operation: 41-36=5, Resulting Numbers: [5]
5,33 unequal: No Solution
Exploring Operation: 36+41=77, Resulting Numbers: [77]
77,33 unequal: No Solution
Exploring Operation: 36*41=1476, Resulting Numbers: [1476]
1476,33 unequal: No Solution
Moving to Node #0,0,0
Current State: 33:[22, 27], Operations: ['66/3=22', '63-36=27']
Exploring Operation: 22+27=49, Resulting Numbers: [49]
49,33 unequal: No Solution
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,33 unequal: No Solution
Exploring Operation: 22*27=594, Resulting Numbers: [594]
594,33 unequal: No Solution
Moving to Node #0,0,3
Current State: 33:[63, 14], Operations: ['66/3=22', '36-22=14']
Exploring Operation: 63*14=882, Resulting Numbers: [882]
882,33 unequal: No Solution
Exploring Operation: 63+14=77, Resulting Numbers: [77]
77,33 unequal: No Solution
Exploring Operation: 63-14=49, Resulting Numbers: [49]
49,33 unequal: No Solution
Moving to Node #0,0,2
Current State: 33:[36, 85], Operations: ['66/3=22', '63+22=85']
Exploring Operation: 36*85=3060, Resulting Numbers: [3060]
3060,33 unequal: No Solution
Exploring Operation: 85-36=49, Resulting Numbers: [49]
49,33 unequal: No Solution
Exploring Operation: 36+85=121, Resulting Numbers: [121]
121,33 unequal: No Solution
Moving to Node #0,0,4
Current State: 33:[63, 58], Operations: ['66/3=22', '36+22=58']
Exploring Operation: 63*58=3654, Resulting Numbers: [3654]
3654,33 unequal: No Solution
Exploring Operation: 63-58=5, Resulting Numbers: [5]
5,33 unequal: No Solution
Exploring Operation: 63+58=121, Resulting Numbers: [121]
121,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 33:[36, 66, 21], Operations: ['63/3=21']
Exploring Operation: 66-36=30, Resulting Numbers: [21, 30]
Generated Node #0,4,0: 33:[21, 30] Operation: 66-36=30
Exploring Operation: 66+21=87, Resulting Numbers: [36, 87]
Generated Node #0,4,1: 33:[36, 87] Operation: 66+21=87
Exploring Operation: 36-21=15, Resulting Numbers: [66, 15]
Generated Node #0,4,2: 33:[66, 15] Operation: 36-21=15
Exploring Operation: 36+21=57, Resulting Numbers: [66, 57]
Generated Node #0,4,3: 33:[66, 57] Operation: 36+21=57
Exploring Operation: 66-21=45, Resulting Numbers: [36, 45]
Generated Node #0,4,4: 33:[36, 45] Operation: 66-21=45
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 33:[21, 30], Operations: ['63/3=21', '66-36=30']
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,33 unequal: No Solution
Exploring Operation: 21*30=630, Resulting Numbers: [630]
630,33 unequal: No Solution
Exploring Operation: 21+30=51, Resulting Numbers: [51]
51,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 33:[36, 45], Operations: ['63/3=21', '66-21=45']
Exploring Operation: 36+45=81, Resulting Numbers: [81]
81,33 unequal: No Solution
Exploring Operation: 36*45=1620, Resulting Numbers: [1620]
1620,33 unequal: No Solution
Exploring Operation: 45-36=9, Resulting Numbers: [9]
9,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 33:[66, 15], Operations: ['63/3=21', '36-21=15']
Exploring Operation: 66-15=51, Resulting Numbers: [51]
51,33 unequal: No Solution
Exploring Operation: 66+15=81, Resulting Numbers: [81]
81,33 unequal: No Solution
Exploring Operation: 66*15=990, Resulting Numbers: [990]
990,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 33:[36, 87], Operations: ['63/3=21', '66+21=87']
Exploring Operation: 36*87=3132, Resulting Numbers: [3132]
3132,33 unequal: No Solution
Exploring Operation: 36+87=123, Resulting Numbers: [123]
123,33 unequal: No Solution
Exploring Operation: 87-36=51, Resulting Numbers: [51]
51,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 33:[66, 57], Operations: ['63/3=21', '36+21=57']
Exploring Operation: 66*57=3762, Resulting Numbers: [3762]
3762,33 unequal: No Solution
Exploring Operation: 66+57=123, Resulting Numbers: [123]
123,33 unequal: No Solution
Exploring Operation: 66-57=9, Resulting Numbers: [9]
9,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
50,
79,
92,
10
] | 80 |
[
"92-79=13",
"10*13=130",
"130-50=80"
] |
Current State: 80:[50, 79, 92, 10], Operations: []
Exploring Operation: 92-79=13, Resulting Numbers: [50, 10, 13]
Generated Node #2: [50, 10, 13] from Operation: 92-79=13
Current State: 80:[50, 10, 13], Operations: ['92-79=13']
Exploring Operation: 10*13=130, Resulting Numbers: [50, 130]
Generated Node #3: [50, 130] from Operation: 10*13=130
Current State: 80:[50, 130], Operations: ['92-79=13', '10*13=130']
Exploring Operation: 130-50=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
Current State: 80:[50, 79, 92, 10], Operations: []
Exploring Operation: 92-79=13, Resulting Numbers: [50, 10, 13]
Generated Node #0,0: 80:[50, 10, 13] Operation: 92-79=13
Exploring Operation: 50/10=5, Resulting Numbers: [79, 92, 5]
Generated Node #0,1: 80:[79, 92, 5] Operation: 50/10=5
Exploring Operation: 92-50=42, Resulting Numbers: [79, 10, 42]
Generated Node #0,2: 80:[79, 10, 42] Operation: 92-50=42
Exploring Operation: 50-10=40, Resulting Numbers: [79, 92, 40]
Generated Node #0,3: 80:[79, 92, 40] Operation: 50-10=40
Start Sub Search at level 1: Moving to Node #0,2
Current State: 80:[79, 10, 42], Operations: ['92-50=42']
Exploring Operation: 79+10=89, Resulting Numbers: [42, 89]
Generated Node #0,2,0: 80:[42, 89] Operation: 79+10=89
Exploring Operation: 79-10=69, Resulting Numbers: [42, 69]
Generated Node #0,2,1: 80:[42, 69] Operation: 79-10=69
Exploring Operation: 79-42=37, Resulting Numbers: [10, 37]
Generated Node #0,2,2: 80:[10, 37] Operation: 79-42=37
Exploring Operation: 42-10=32, Resulting Numbers: [79, 32]
Generated Node #0,2,3: 80:[79, 32] Operation: 42-10=32
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 80:[10, 37], Operations: ['92-50=42', '79-42=37']
Exploring Operation: 37-10=27, Resulting Numbers: [27]
27,80 unequal: No Solution
Exploring Operation: 10+37=47, Resulting Numbers: [47]
47,80 unequal: No Solution
Exploring Operation: 10*37=370, Resulting Numbers: [370]
370,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 80:[79, 32], Operations: ['92-50=42', '42-10=32']
Exploring Operation: 79-32=47, Resulting Numbers: [47]
47,80 unequal: No Solution
Exploring Operation: 79*32=2528, Resulting Numbers: [2528]
2528,80 unequal: No Solution
Exploring Operation: 79+32=111, Resulting Numbers: [111]
111,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 80:[42, 89], Operations: ['92-50=42', '79+10=89']
Exploring Operation: 42*89=3738, Resulting Numbers: [3738]
3738,80 unequal: No Solution
Exploring Operation: 89-42=47, Resulting Numbers: [47]
47,80 unequal: No Solution
Exploring Operation: 42+89=131, Resulting Numbers: [131]
131,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 80:[42, 69], Operations: ['92-50=42', '79-10=69']
Exploring Operation: 42*69=2898, Resulting Numbers: [2898]
2898,80 unequal: No Solution
Exploring Operation: 42+69=111, Resulting Numbers: [111]
111,80 unequal: No Solution
Exploring Operation: 69-42=27, Resulting Numbers: [27]
27,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[50, 10, 13], Operations: ['92-79=13']
Exploring Operation: 13-10=3, Resulting Numbers: [50, 3]
Generated Node #0,0,0: 80:[50, 3] Operation: 13-10=3
Exploring Operation: 50-10=40, Resulting Numbers: [13, 40]
Generated Node #0,0,1: 80:[13, 40] Operation: 50-10=40
Exploring Operation: 50/10=5, Resulting Numbers: [13, 5]
Generated Node #0,0,2: 80:[13, 5] Operation: 50/10=5
Exploring Operation: 50-13=37, Resulting Numbers: [10, 37]
Generated Node #0,0,3: 80:[10, 37] Operation: 50-13=37
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 80:[13, 40], Operations: ['92-79=13', '50-10=40']
Exploring Operation: 13+40=53, Resulting Numbers: [53]
53,80 unequal: No Solution
Exploring Operation: 40-13=27, Resulting Numbers: [27]
27,80 unequal: No Solution
Exploring Operation: 13*40=520, Resulting Numbers: [520]
520,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 80:[13, 5], Operations: ['92-79=13', '50/10=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,80 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 80:[10, 37], Operations: ['92-79=13', '50-13=37']
Exploring Operation: 10*37=370, Resulting Numbers: [370]
370,80 unequal: No Solution
Exploring Operation: 37-10=27, Resulting Numbers: [27]
27,80 unequal: No Solution
Exploring Operation: 10+37=47, Resulting Numbers: [47]
47,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 80:[50, 3], Operations: ['92-79=13', '13-10=3']
Exploring Operation: 50+3=53, Resulting Numbers: [53]
53,80 unequal: No Solution
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,80 unequal: No Solution
Exploring Operation: 50*3=150, Resulting Numbers: [150]
150,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[79, 92, 5], Operations: ['50/10=5']
Exploring Operation: 92-79=13, Resulting Numbers: [5, 13]
Generated Node #0,1,0: 80:[5, 13] Operation: 92-79=13
Exploring Operation: 79+5=84, Resulting Numbers: [92, 84]
Generated Node #0,1,1: 80:[92, 84] Operation: 79+5=84
Exploring Operation: 92-5=87, Resulting Numbers: [79, 87]
Generated Node #0,1,2: 80:[79, 87] Operation: 92-5=87
Exploring Operation: 79-5=74, Resulting Numbers: [92, 74]
Generated Node #0,1,3: 80:[92, 74] Operation: 79-5=74
Moving to Node #0,1,0
Current State: 80:[5, 13], Operations: ['50/10=5', '92-79=13']
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,80 unequal: No Solution
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,80 unequal: No Solution
Moving to Node #0,1,2
Current State: 80:[79, 87], Operations: ['50/10=5', '92-5=87']
Exploring Operation: 87-79=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 79*87=6873, Resulting Numbers: [6873]
6873,80 unequal: No Solution
Exploring Operation: 79+87=166, Resulting Numbers: [166]
166,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[92, 84], Operations: ['50/10=5', '79+5=84']
Exploring Operation: 92*84=7728, Resulting Numbers: [7728]
7728,80 unequal: No Solution
Exploring Operation: 92+84=176, Resulting Numbers: [176]
176,80 unequal: No Solution
Exploring Operation: 92-84=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Moving to Node #0,1,3
Current State: 80:[92, 74], Operations: ['50/10=5', '79-5=74']
Exploring Operation: 92+74=166, Resulting Numbers: [166]
166,80 unequal: No Solution
Exploring Operation: 92-74=18, Resulting Numbers: [18]
18,80 unequal: No Solution
Exploring Operation: 92*74=6808, Resulting Numbers: [6808]
6808,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 80:[79, 92, 40], Operations: ['50-10=40']
Exploring Operation: 79-40=39, Resulting Numbers: [92, 39]
Generated Node #0,3,0: 80:[92, 39] Operation: 79-40=39
Exploring Operation: 92-40=52, Resulting Numbers: [79, 52]
Generated Node #0,3,1: 80:[79, 52] Operation: 92-40=52
Exploring Operation: 79+40=119, Resulting Numbers: [92, 119]
Generated Node #0,3,2: 80:[92, 119] Operation: 79+40=119
Exploring Operation: 92-79=13, Resulting Numbers: [40, 13]
Generated Node #0,3,3: 80:[40, 13] Operation: 92-79=13
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 80:[40, 13], Operations: ['50-10=40', '92-79=13']
Exploring Operation: 40-13=27, Resulting Numbers: [27]
27,80 unequal: No Solution
Exploring Operation: 40+13=53, Resulting Numbers: [53]
53,80 unequal: No Solution
Exploring Operation: 40*13=520, Resulting Numbers: [520]
520,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 80:[92, 39], Operations: ['50-10=40', '79-40=39']
Exploring Operation: 92-39=53, Resulting Numbers: [53]
53,80 unequal: No Solution
Exploring Operation: 92+39=131, Resulting Numbers: [131]
131,80 unequal: No Solution
Exploring Operation: 92*39=3588, Resulting Numbers: [3588]
3588,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 80:[79, 52], Operations: ['50-10=40', '92-40=52']
Exploring Operation: 79*52=4108, Resulting Numbers: [4108]
4108,80 unequal: No Solution
Exploring Operation: 79-52=27, Resulting Numbers: [27]
27,80 unequal: No Solution
Exploring Operation: 79+52=131, Resulting Numbers: [131]
131,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 80:[92, 119], Operations: ['50-10=40', '79+40=119']
Exploring Operation: 92*119=10948, Resulting Numbers: [10948]
10948,80 unequal: No Solution
Exploring Operation: 119-92=27, Resulting Numbers: [27]
27,80 unequal: No Solution
Exploring Operation: 92+119=211, Resulting Numbers: [211]
211,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
7,
2,
58,
8
] | 67 |
[
"58-7=51",
"2*8=16",
"51+16=67"
] |
Current State: 67:[7, 2, 58, 8], Operations: []
Exploring Operation: 58-7=51, Resulting Numbers: [2, 8, 51]
Generated Node #2: [2, 8, 51] from Operation: 58-7=51
Current State: 67:[2, 8, 51], Operations: ['58-7=51']
Exploring Operation: 2*8=16, Resulting Numbers: [51, 16]
Generated Node #3: [51, 16] from Operation: 2*8=16
Current State: 67:[51, 16], Operations: ['58-7=51', '2*8=16']
Exploring Operation: 51+16=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
Current State: 67:[7, 2, 58, 8], Operations: []
Exploring Operation: 2*8=16, Resulting Numbers: [7, 58, 16]
Generated Node #0,0: 67:[7, 58, 16] Operation: 2*8=16
Exploring Operation: 7*8=56, Resulting Numbers: [2, 58, 56]
Generated Node #0,1: 67:[2, 58, 56] Operation: 7*8=56
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[2, 58, 56], Operations: ['7*8=56']
Exploring Operation: 2+56=58, Resulting Numbers: [58, 58]
Generated Node #0,1,0: 67:[58, 58] Operation: 2+56=58
Exploring Operation: 2+58=60, Resulting Numbers: [56, 60]
Generated Node #0,1,1: 67:[56, 60] Operation: 2+58=60
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 67:[58, 58], Operations: ['7*8=56', '2+56=58']
Exploring Operation: 58/58=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Exploring Operation: 58+58=116, Resulting Numbers: [116]
116,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 67:[56, 60], Operations: ['7*8=56', '2+58=60']
Exploring Operation: 56+60=116, Resulting Numbers: [116]
116,67 unequal: No Solution
Exploring Operation: 60-56=4, Resulting Numbers: [4]
4,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[7, 58, 16], Operations: ['2*8=16']
Exploring Operation: 7+16=23, Resulting Numbers: [58, 23]
Generated Node #0,0,0: 67:[58, 23] Operation: 7+16=23
Exploring Operation: 7+58=65, Resulting Numbers: [16, 65]
Generated Node #0,0,1: 67:[16, 65] Operation: 7+58=65
Moving to Node #0,0,0
Current State: 67:[58, 23], Operations: ['2*8=16', '7+16=23']
Exploring Operation: 58+23=81, Resulting Numbers: [81]
81,67 unequal: No Solution
Exploring Operation: 58-23=35, Resulting Numbers: [35]
35,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[16, 65], Operations: ['2*8=16', '7+58=65']
Exploring Operation: 16+65=81, Resulting Numbers: [81]
81,67 unequal: No Solution
Exploring Operation: 65-16=49, Resulting Numbers: [49]
49,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
99,
2,
85,
12
] | 95 |
[
"85+12=97",
"2*97=194",
"194-99=95"
] |
Current State: 95:[99, 2, 85, 12], Operations: []
Exploring Operation: 85+12=97, Resulting Numbers: [99, 2, 97]
Generated Node #2: [99, 2, 97] from Operation: 85+12=97
Current State: 95:[99, 2, 97], Operations: ['85+12=97']
Exploring Operation: 2*97=194, Resulting Numbers: [99, 194]
Generated Node #3: [99, 194] from Operation: 2*97=194
Current State: 95:[99, 194], Operations: ['85+12=97', '2*97=194']
Exploring Operation: 194-99=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
Current State: 95:[99, 2, 85, 12], Operations: []
Exploring Operation: 99-85=14, Resulting Numbers: [2, 12, 14]
Generated Node #0,0: 95:[2, 12, 14] Operation: 99-85=14
Exploring Operation: 12/2=6, Resulting Numbers: [99, 85, 6]
Generated Node #0,1: 95:[99, 85, 6] Operation: 12/2=6
Exploring Operation: 85+12=97, Resulting Numbers: [99, 2, 97]
Generated Node #0,2: 95:[99, 2, 97] Operation: 85+12=97
Moving to Node #0,2
Current State: 95:[99, 2, 97], Operations: ['85+12=97']
Exploring Operation: 99-97=2, Resulting Numbers: [2, 2]
Generated Node #0,2,0: 95:[2, 2] Operation: 99-97=2
Exploring Operation: 99-2=97, Resulting Numbers: [97, 97]
Generated Node #0,2,1: 95:[97, 97] Operation: 99-2=97
Exploring Operation: 97-2=95, Resulting Numbers: [99, 95]
Generated Node #0,2,2: 95:[99, 95] Operation: 97-2=95
Moving to Node #0,0
Current State: 95:[2, 12, 14], Operations: ['99-85=14']
Exploring Operation: 12/2=6, Resulting Numbers: [14, 6]
Generated Node #0,0,0: 95:[14, 6] Operation: 12/2=6
Exploring Operation: 14/2=7, Resulting Numbers: [12, 7]
Generated Node #0,0,1: 95:[12, 7] Operation: 14/2=7
Exploring Operation: 14-12=2, Resulting Numbers: [2, 2]
Generated Node #0,0,2: 95:[2, 2] Operation: 14-12=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 95:[14, 6], Operations: ['99-85=14', '12/2=6']
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,95 unequal: No Solution
Exploring Operation: 14+6=20, Resulting Numbers: [20]
20,95 unequal: No Solution
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 95:[2, 2], Operations: ['99-85=14', '14-12=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 95:[12, 7], Operations: ['99-85=14', '14/2=7']
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,95 unequal: No Solution
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 95:[99, 85, 6], Operations: ['12/2=6']
Exploring Operation: 99-6=93, Resulting Numbers: [85, 93]
Generated Node #0,1,0: 95:[85, 93] Operation: 99-6=93
Exploring Operation: 99-85=14, Resulting Numbers: [6, 14]
Generated Node #0,1,1: 95:[6, 14] Operation: 99-85=14
Exploring Operation: 85+6=91, Resulting Numbers: [99, 91]
Generated Node #0,1,2: 95:[99, 91] Operation: 85+6=91
Moving to Node #0,2,1
Current State: 95:[97, 97], Operations: ['85+12=97', '99-2=97']
Exploring Operation: 97-97=0, Resulting Numbers: [0]
0,95 unequal: No Solution
Exploring Operation: 97+97=194, Resulting Numbers: [194]
194,95 unequal: No Solution
Exploring Operation: 97/97=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Moving to Node #0,2,2
Current State: 95:[99, 95], Operations: ['85+12=97', '97-2=95']
Exploring Operation: 99+95=194, Resulting Numbers: [194]
194,95 unequal: No Solution
Exploring Operation: 99-95=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Exploring Operation: 99*95=9405, Resulting Numbers: [9405]
9405,95 unequal: No Solution
Moving to Node #0,2,0
Current State: 95:[2, 2], Operations: ['85+12=97', '99-97=2']
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Moving to Node #0,1,1
Current State: 95:[6, 14], Operations: ['12/2=6', '99-85=14']
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,95 unequal: No Solution
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,95 unequal: No Solution
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,95 unequal: No Solution
Moving to Node #0,1,2
Current State: 95:[99, 91], Operations: ['12/2=6', '85+6=91']
Exploring Operation: 99-91=8, Resulting Numbers: [8]
8,95 unequal: No Solution
Exploring Operation: 99*91=9009, Resulting Numbers: [9009]
9009,95 unequal: No Solution
Exploring Operation: 99+91=190, Resulting Numbers: [190]
190,95 unequal: No Solution
Moving to Node #0,1,0
Current State: 95:[85, 93], Operations: ['12/2=6', '99-6=93']
Exploring Operation: 93-85=8, Resulting Numbers: [8]
8,95 unequal: No Solution
Exploring Operation: 85*93=7905, Resulting Numbers: [7905]
7905,95 unequal: No Solution
Exploring Operation: 85+93=178, Resulting Numbers: [178]
178,95 unequal: No Solution
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
47,
56,
2,
73
] | 92 |
[
"47+73=120",
"56/2=28",
"120-28=92"
] |
Current State: 92:[47, 56, 2, 73], Operations: []
Exploring Operation: 47+73=120, Resulting Numbers: [56, 2, 120]
Generated Node #2: [56, 2, 120] from Operation: 47+73=120
Current State: 92:[56, 2, 120], Operations: ['47+73=120']
Exploring Operation: 56/2=28, Resulting Numbers: [120, 28]
Generated Node #3: [120, 28] from Operation: 56/2=28
Current State: 92:[120, 28], Operations: ['47+73=120', '56/2=28']
Exploring Operation: 120-28=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
Current State: 92:[47, 56, 2, 73], Operations: []
Exploring Operation: 56/2=28, Resulting Numbers: [47, 73, 28]
Generated Node #0,0: 92:[47, 73, 28] Operation: 56/2=28
Exploring Operation: 73-47=26, Resulting Numbers: [56, 2, 26]
Generated Node #0,1: 92:[56, 2, 26] Operation: 73-47=26
Exploring Operation: 56-47=9, Resulting Numbers: [2, 73, 9]
Generated Node #0,2: 92:[2, 73, 9] Operation: 56-47=9
Exploring Operation: 73-56=17, Resulting Numbers: [47, 2, 17]
Generated Node #0,3: 92:[47, 2, 17] Operation: 73-56=17
Start Sub Search at level 1: Moving to Node #0,3
Current State: 92:[47, 2, 17], Operations: ['73-56=17']
Exploring Operation: 47-17=30, Resulting Numbers: [2, 30]
Generated Node #0,3,0: 92:[2, 30] Operation: 47-17=30
Exploring Operation: 2+17=19, Resulting Numbers: [47, 19]
Generated Node #0,3,1: 92:[47, 19] Operation: 2+17=19
Exploring Operation: 47-2=45, Resulting Numbers: [17, 45]
Generated Node #0,3,2: 92:[17, 45] Operation: 47-2=45
Exploring Operation: 47*2=94, Resulting Numbers: [17, 94]
Generated Node #0,3,3: 92:[17, 94] Operation: 47*2=94
Moving to Node #0,3,1
Current State: 92:[47, 19], Operations: ['73-56=17', '2+17=19']
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,92 unequal: No Solution
Exploring Operation: 47+19=66, Resulting Numbers: [66]
66,92 unequal: No Solution
Exploring Operation: 47*19=893, Resulting Numbers: [893]
893,92 unequal: No Solution
Moving to Node #0,3,2
Current State: 92:[17, 45], Operations: ['73-56=17', '47-2=45']
Exploring Operation: 17*45=765, Resulting Numbers: [765]
765,92 unequal: No Solution
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,92 unequal: No Solution
Exploring Operation: 17+45=62, Resulting Numbers: [62]
62,92 unequal: No Solution
Moving to Node #0,3,0
Current State: 92:[2, 30], Operations: ['73-56=17', '47-17=30']
Exploring Operation: 2+30=32, Resulting Numbers: [32]
32,92 unequal: No Solution
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,92 unequal: No Solution
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,92 unequal: No Solution
Exploring Operation: 2*30=60, Resulting Numbers: [60]
60,92 unequal: No Solution
Moving to Node #0,3,3
Current State: 92:[17, 94], Operations: ['73-56=17', '47*2=94']
Exploring Operation: 17*94=1598, Resulting Numbers: [1598]
1598,92 unequal: No Solution
Exploring Operation: 94-17=77, Resulting Numbers: [77]
77,92 unequal: No Solution
Exploring Operation: 17+94=111, Resulting Numbers: [111]
111,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[56, 2, 26], Operations: ['73-47=26']
Exploring Operation: 56-26=30, Resulting Numbers: [2, 30]
Generated Node #0,1,0: 92:[2, 30] Operation: 56-26=30
Exploring Operation: 56/2=28, Resulting Numbers: [26, 28]
Generated Node #0,1,1: 92:[26, 28] Operation: 56/2=28
Exploring Operation: 56-2=54, Resulting Numbers: [26, 54]
Generated Node #0,1,2: 92:[26, 54] Operation: 56-2=54
Exploring Operation: 56+26=82, Resulting Numbers: [2, 82]
Generated Node #0,1,3: 92:[2, 82] Operation: 56+26=82
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 92:[2, 30], Operations: ['73-47=26', '56-26=30']
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,92 unequal: No Solution
Exploring Operation: 2*30=60, Resulting Numbers: [60]
60,92 unequal: No Solution
Exploring Operation: 2+30=32, Resulting Numbers: [32]
32,92 unequal: No Solution
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 92:[26, 28], Operations: ['73-47=26', '56/2=28']
Exploring Operation: 26*28=728, Resulting Numbers: [728]
728,92 unequal: No Solution
Exploring Operation: 28-26=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Exploring Operation: 26+28=54, Resulting Numbers: [54]
54,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 92:[2, 82], Operations: ['73-47=26', '56+26=82']
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,92 unequal: No Solution
Exploring Operation: 2+82=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Exploring Operation: 2*82=164, Resulting Numbers: [164]
164,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 92:[26, 54], Operations: ['73-47=26', '56-2=54']
Exploring Operation: 54-26=28, Resulting Numbers: [28]
28,92 unequal: No Solution
Exploring Operation: 26*54=1404, Resulting Numbers: [1404]
1404,92 unequal: No Solution
Exploring Operation: 26+54=80, Resulting Numbers: [80]
80,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 92:[2, 73, 9], Operations: ['56-47=9']
Exploring Operation: 9-2=7, Resulting Numbers: [73, 7]
Generated Node #0,2,0: 92:[73, 7] Operation: 9-2=7
Exploring Operation: 2+73=75, Resulting Numbers: [9, 75]
Generated Node #0,2,1: 92:[9, 75] Operation: 2+73=75
Exploring Operation: 73-9=64, Resulting Numbers: [2, 64]
Generated Node #0,2,2: 92:[2, 64] Operation: 73-9=64
Exploring Operation: 73+9=82, Resulting Numbers: [2, 82]
Generated Node #0,2,3: 92:[2, 82] Operation: 73+9=82
Moving to Node #0,2,3
Current State: 92:[2, 82], Operations: ['56-47=9', '73+9=82']
Exploring Operation: 2+82=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Exploring Operation: 2*82=164, Resulting Numbers: [164]
164,92 unequal: No Solution
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,92 unequal: No Solution
Moving to Node #0,2,2
Current State: 92:[2, 64], Operations: ['56-47=9', '73-9=64']
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,92 unequal: No Solution
Exploring Operation: 2+64=66, Resulting Numbers: [66]
66,92 unequal: No Solution
Exploring Operation: 2*64=128, Resulting Numbers: [128]
128,92 unequal: No Solution
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,92 unequal: No Solution
Moving to Node #0,2,1
Current State: 92:[9, 75], Operations: ['56-47=9', '2+73=75']
Exploring Operation: 9*75=675, Resulting Numbers: [675]
675,92 unequal: No Solution
Exploring Operation: 9+75=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Exploring Operation: 75-9=66, Resulting Numbers: [66]
66,92 unequal: No Solution
Moving to Node #0,2,0
Current State: 92:[73, 7], Operations: ['56-47=9', '9-2=7']
Exploring Operation: 73-7=66, Resulting Numbers: [66]
66,92 unequal: No Solution
Exploring Operation: 73*7=511, Resulting Numbers: [511]
511,92 unequal: No Solution
Exploring Operation: 73+7=80, Resulting Numbers: [80]
80,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[47, 73, 28], Operations: ['56/2=28']
Exploring Operation: 47-28=19, Resulting Numbers: [73, 19]
Generated Node #0,0,0: 92:[73, 19] Operation: 47-28=19
Exploring Operation: 73+28=101, Resulting Numbers: [47, 101]
Generated Node #0,0,1: 92:[47, 101] Operation: 73+28=101
Exploring Operation: 73-47=26, Resulting Numbers: [28, 26]
Generated Node #0,0,2: 92:[28, 26] Operation: 73-47=26
Exploring Operation: 73-28=45, Resulting Numbers: [47, 45]
Generated Node #0,0,3: 92:[47, 45] Operation: 73-28=45
Moving to Node #0,0,3
Current State: 92:[47, 45], Operations: ['56/2=28', '73-28=45']
Exploring Operation: 47*45=2115, Resulting Numbers: [2115]
2115,92 unequal: No Solution
Exploring Operation: 47+45=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[47, 56, 2, 73], Operations: []
Exploring Operation: 56/2=28, Resulting Numbers: [47, 73, 28]
Generated Node #0,0: 92:[47, 73, 28] Operation: 56/2=28
Moving to Node #0,0
Current State: 92:[47, 73, 28], Operations: ['56/2=28']
Exploring Operation: 73-28=45, Resulting Numbers: [47, 45]
Generated Node #0,0,3: 92:[47, 45] Operation: 73-28=45
Moving to Node #0,0,3
Current State: 92:[47, 45], Operations: ['56/2=28', '73-28=45']
Exploring Operation: 47+45=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.94184 |
hs_4
|
mult_heuristic
|
[
4,
5,
1,
90
] | 25 |
[
"4-1=3",
"90/3=30",
"30-5=25"
] |
Current State: 25:[4, 5, 1, 90], Operations: []
Exploring Operation: 4-1=3, Resulting Numbers: [5, 90, 3]
Generated Node #2: [5, 90, 3] from Operation: 4-1=3
Current State: 25:[5, 90, 3], Operations: ['4-1=3']
Exploring Operation: 90/3=30, Resulting Numbers: [5, 30]
Generated Node #3: [5, 30] from Operation: 90/3=30
Current State: 25:[5, 30], Operations: ['4-1=3', '90/3=30']
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
Current State: 25:[4, 5, 1, 90], Operations: []
Exploring Operation: 90-4=86, Resulting Numbers: [5, 1, 86]
Generated Node #0,0: 25:[5, 1, 86] Operation: 90-4=86
Exploring Operation: 4+1=5, Resulting Numbers: [5, 90, 5]
Generated Node #0,1: 25:[5, 90, 5] Operation: 4+1=5
Exploring Operation: 90/5=18, Resulting Numbers: [4, 1, 18]
Generated Node #0,2: 25:[4, 1, 18] Operation: 90/5=18
Start Sub Search at level 1: Moving to Node #0,2
Current State: 25:[4, 1, 18], Operations: ['90/5=18']
Exploring Operation: 1+18=19, Resulting Numbers: [4, 19]
Generated Node #0,2,0: 25:[4, 19] Operation: 1+18=19
Exploring Operation: 4+18=22, Resulting Numbers: [1, 22]
Generated Node #0,2,1: 25:[1, 22] Operation: 4+18=22
Exploring Operation: 4+1=5, Resulting Numbers: [18, 5]
Generated Node #0,2,2: 25:[18, 5] Operation: 4+1=5
Moving to Node #0,2,0
Current State: 25:[4, 19], Operations: ['90/5=18', '1+18=19']
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,25 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,25 unequal: No Solution
Moving to Node #0,2,1
Current State: 25:[1, 22], Operations: ['90/5=18', '4+18=22']
Exploring Operation: 1*22=22, Resulting Numbers: [22]
22,25 unequal: No Solution
Exploring Operation: 22/1=22, Resulting Numbers: [22]
22,25 unequal: No Solution
Exploring Operation: 1+22=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Moving to Node #0,2,2
Current State: 25:[18, 5], Operations: ['90/5=18', '4+1=5']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,25 unequal: No Solution
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[5, 1, 86], Operations: ['90-4=86']
Exploring Operation: 5*1=5, Resulting Numbers: [86, 5]
Generated Node #0,0,0: 25:[86, 5] Operation: 5*1=5
Exploring Operation: 86-5=81, Resulting Numbers: [1, 81]
Generated Node #0,0,1: 25:[1, 81] Operation: 86-5=81
Exploring Operation: 86-1=85, Resulting Numbers: [5, 85]
Generated Node #0,0,2: 25:[5, 85] Operation: 86-1=85
Moving to Node #0,0,1
Current State: 25:[1, 81], Operations: ['90-4=86', '86-5=81']
Exploring Operation: 81/1=81, Resulting Numbers: [81]
81,25 unequal: No Solution
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,25 unequal: No Solution
Exploring Operation: 1*81=81, Resulting Numbers: [81]
81,25 unequal: No Solution
Moving to Node #0,0,2
Current State: 25:[5, 85], Operations: ['90-4=86', '86-1=85']
Exploring Operation: 5+85=90, Resulting Numbers: [90]
90,25 unequal: No Solution
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,25 unequal: No Solution
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[86, 5], Operations: ['90-4=86', '5*1=5']
Exploring Operation: 86+5=91, Resulting Numbers: [91]
91,25 unequal: No Solution
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,25 unequal: No Solution
Exploring Operation: 86*5=430, Resulting Numbers: [430]
430,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[5, 90, 5], Operations: ['4+1=5']
Exploring Operation: 90-5=85, Resulting Numbers: [5, 85]
Generated Node #0,1,0: 25:[5, 85] Operation: 90-5=85
Exploring Operation: 90/5=18, Resulting Numbers: [5, 18]
Generated Node #0,1,1: 25:[5, 18] Operation: 90/5=18
Exploring Operation: 90/5=18, Resulting Numbers: [5, 18]
Generated Node #0,1,2: 25:[5, 18] Operation: 90/5=18
Moving to Node #0,1,1
Current State: 25:[5, 18], Operations: ['4+1=5', '90/5=18']
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,25 unequal: No Solution
Moving to Node #0,1,2
Current State: 25:[5, 18], Operations: ['4+1=5', '90/5=18']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,25 unequal: No Solution
Moving to Node #0,1,0
Current State: 25:[5, 85], Operations: ['4+1=5', '90-5=85']
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,25 unequal: No Solution
Exploring Operation: 5+85=90, Resulting Numbers: [90]
90,25 unequal: No Solution
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
34,
10,
30,
65
] | 52 |
[
"34-10=24",
"65*24=1560",
"1560/30=52"
] |
Current State: 52:[34, 10, 30, 65], Operations: []
Exploring Operation: 34-10=24, Resulting Numbers: [30, 65, 24]
Generated Node #2: [30, 65, 24] from Operation: 34-10=24
Current State: 52:[30, 65, 24], Operations: ['34-10=24']
Exploring Operation: 65*24=1560, Resulting Numbers: [30, 1560]
Generated Node #3: [30, 1560] from Operation: 65*24=1560
Current State: 52:[30, 1560], Operations: ['34-10=24', '65*24=1560']
Exploring Operation: 1560/30=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
Current State: 52:[34, 10, 30, 65], Operations: []
Exploring Operation: 34-30=4, Resulting Numbers: [10, 65, 4]
Generated Node #0,0: 52:[10, 65, 4] Operation: 34-30=4
Exploring Operation: 65-10=55, Resulting Numbers: [34, 30, 55]
Generated Node #0,1: 52:[34, 30, 55] Operation: 65-10=55
Exploring Operation: 65-34=31, Resulting Numbers: [10, 30, 31]
Generated Node #0,2: 52:[10, 30, 31] Operation: 65-34=31
Exploring Operation: 34-10=24, Resulting Numbers: [30, 65, 24]
Generated Node #0,3: 52:[30, 65, 24] Operation: 34-10=24
Start Sub Search at level 1: Moving to Node #0,2
Current State: 52:[10, 30, 31], Operations: ['65-34=31']
Exploring Operation: 30-10=20, Resulting Numbers: [31, 20]
Generated Node #0,2,0: 52:[31, 20] Operation: 30-10=20
Exploring Operation: 31-30=1, Resulting Numbers: [10, 1]
Generated Node #0,2,1: 52:[10, 1] Operation: 31-30=1
Exploring Operation: 31-10=21, Resulting Numbers: [30, 21]
Generated Node #0,2,2: 52:[30, 21] Operation: 31-10=21
Exploring Operation: 30/10=3, Resulting Numbers: [31, 3]
Generated Node #0,2,3: 52:[31, 3] Operation: 30/10=3
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 52:[10, 1], Operations: ['65-34=31', '31-30=1']
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,52 unequal: No Solution
Exploring Operation: 10-1=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 10*1=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 10/1=10, Resulting Numbers: [10]
10,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 52:[31, 3], Operations: ['65-34=31', '30/10=3']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,52 unequal: No Solution
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,52 unequal: No Solution
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 52:[30, 21], Operations: ['65-34=31', '31-10=21']
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 30*21=630, Resulting Numbers: [630]
630,52 unequal: No Solution
Exploring Operation: 30+21=51, Resulting Numbers: [51]
51,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 52:[31, 20], Operations: ['65-34=31', '30-10=20']
Exploring Operation: 31+20=51, Resulting Numbers: [51]
51,52 unequal: No Solution
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,52 unequal: No Solution
Exploring Operation: 31*20=620, Resulting Numbers: [620]
620,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[34, 30, 55], Operations: ['65-10=55']
Exploring Operation: 34-30=4, Resulting Numbers: [55, 4]
Generated Node #0,1,0: 52:[55, 4] Operation: 34-30=4
Exploring Operation: 55-30=25, Resulting Numbers: [34, 25]
Generated Node #0,1,1: 52:[34, 25] Operation: 55-30=25
Exploring Operation: 34+30=64, Resulting Numbers: [55, 64]
Generated Node #0,1,2: 52:[55, 64] Operation: 34+30=64
Exploring Operation: 55-34=21, Resulting Numbers: [30, 21]
Generated Node #0,1,3: 52:[30, 21] Operation: 55-34=21
Moving to Node #0,1,0
Current State: 52:[55, 4], Operations: ['65-10=55', '34-30=4']
Exploring Operation: 55+4=59, Resulting Numbers: [59]
59,52 unequal: No Solution
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,52 unequal: No Solution
Exploring Operation: 55*4=220, Resulting Numbers: [220]
220,52 unequal: No Solution
Moving to Node #0,1,3
Current State: 52:[30, 21], Operations: ['65-10=55', '55-34=21']
Exploring Operation: 30*21=630, Resulting Numbers: [630]
630,52 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 30+21=51, Resulting Numbers: [51]
51,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[34, 25], Operations: ['65-10=55', '55-30=25']
Exploring Operation: 34*25=850, Resulting Numbers: [850]
850,52 unequal: No Solution
Exploring Operation: 34+25=59, Resulting Numbers: [59]
59,52 unequal: No Solution
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Moving to Node #0,1,2
Current State: 52:[55, 64], Operations: ['65-10=55', '34+30=64']
Exploring Operation: 64-55=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 55*64=3520, Resulting Numbers: [3520]
3520,52 unequal: No Solution
Exploring Operation: 55+64=119, Resulting Numbers: [119]
119,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[10, 65, 4], Operations: ['34-30=4']
Exploring Operation: 10+4=14, Resulting Numbers: [65, 14]
Generated Node #0,0,0: 52:[65, 14] Operation: 10+4=14
Exploring Operation: 65-4=61, Resulting Numbers: [10, 61]
Generated Node #0,0,1: 52:[10, 61] Operation: 65-4=61
Exploring Operation: 10-4=6, Resulting Numbers: [65, 6]
Generated Node #0,0,2: 52:[65, 6] Operation: 10-4=6
Exploring Operation: 65-10=55, Resulting Numbers: [4, 55]
Generated Node #0,0,3: 52:[4, 55] Operation: 65-10=55
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 52:[4, 55], Operations: ['34-30=4', '65-10=55']
Exploring Operation: 4*55=220, Resulting Numbers: [220]
220,52 unequal: No Solution
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,52 unequal: No Solution
Exploring Operation: 4+55=59, Resulting Numbers: [59]
59,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 52:[10, 61], Operations: ['34-30=4', '65-4=61']
Exploring Operation: 10*61=610, Resulting Numbers: [610]
610,52 unequal: No Solution
Exploring Operation: 61-10=51, Resulting Numbers: [51]
51,52 unequal: No Solution
Exploring Operation: 10+61=71, Resulting Numbers: [71]
71,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 52:[65, 14], Operations: ['34-30=4', '10+4=14']
Exploring Operation: 65+14=79, Resulting Numbers: [79]
79,52 unequal: No Solution
Exploring Operation: 65-14=51, Resulting Numbers: [51]
51,52 unequal: No Solution
Exploring Operation: 65*14=910, Resulting Numbers: [910]
910,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 52:[65, 6], Operations: ['34-30=4', '10-4=6']
Exploring Operation: 65*6=390, Resulting Numbers: [390]
390,52 unequal: No Solution
Exploring Operation: 65-6=59, Resulting Numbers: [59]
59,52 unequal: No Solution
Exploring Operation: 65+6=71, Resulting Numbers: [71]
71,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 52:[30, 65, 24], Operations: ['34-10=24']
Exploring Operation: 65-30=35, Resulting Numbers: [24, 35]
Generated Node #0,3,0: 52:[24, 35] Operation: 65-30=35
Exploring Operation: 65-24=41, Resulting Numbers: [30, 41]
Generated Node #0,3,1: 52:[30, 41] Operation: 65-24=41
Exploring Operation: 30-24=6, Resulting Numbers: [65, 6]
Generated Node #0,3,2: 52:[65, 6] Operation: 30-24=6
Exploring Operation: 30+24=54, Resulting Numbers: [65, 54]
Generated Node #0,3,3: 52:[65, 54] Operation: 30+24=54
Moving to Node #0,3,0
Current State: 52:[24, 35], Operations: ['34-10=24', '65-30=35']
Exploring Operation: 24+35=59, Resulting Numbers: [59]
59,52 unequal: No Solution
Exploring Operation: 24*35=840, Resulting Numbers: [840]
840,52 unequal: No Solution
Exploring Operation: 35-24=11, Resulting Numbers: [11]
11,52 unequal: No Solution
Moving to Node #0,3,2
Current State: 52:[65, 6], Operations: ['34-10=24', '30-24=6']
Exploring Operation: 65*6=390, Resulting Numbers: [390]
390,52 unequal: No Solution
Exploring Operation: 65-6=59, Resulting Numbers: [59]
59,52 unequal: No Solution
Exploring Operation: 65+6=71, Resulting Numbers: [71]
71,52 unequal: No Solution
Moving to Node #0,3,1
Current State: 52:[30, 41], Operations: ['34-10=24', '65-24=41']
Exploring Operation: 30+41=71, Resulting Numbers: [71]
71,52 unequal: No Solution
Exploring Operation: 30*41=1230, Resulting Numbers: [1230]
1230,52 unequal: No Solution
Exploring Operation: 41-30=11, Resulting Numbers: [11]
11,52 unequal: No Solution
Moving to Node #0,3,3
Current State: 52:[65, 54], Operations: ['34-10=24', '30+24=54']
Exploring Operation: 65+54=119, Resulting Numbers: [119]
119,52 unequal: No Solution
Exploring Operation: 65*54=3510, Resulting Numbers: [3510]
3510,52 unequal: No Solution
Exploring Operation: 65-54=11, Resulting Numbers: [11]
11,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
88,
14,
72,
11
] | 78 |
[
"88/11=8",
"14+72=86",
"86-8=78"
] |
Current State: 78:[88, 14, 72, 11], Operations: []
Exploring Operation: 88/11=8, Resulting Numbers: [14, 72, 8]
Generated Node #2: [14, 72, 8] from Operation: 88/11=8
Current State: 78:[14, 72, 8], Operations: ['88/11=8']
Exploring Operation: 14+72=86, Resulting Numbers: [8, 86]
Generated Node #3: [8, 86] from Operation: 14+72=86
Current State: 78:[8, 86], Operations: ['88/11=8', '14+72=86']
Exploring Operation: 86-8=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
Current State: 78:[88, 14, 72, 11], Operations: []
Exploring Operation: 88/11=8, Resulting Numbers: [14, 72, 8]
Generated Node #0,0: 78:[14, 72, 8] Operation: 88/11=8
Exploring Operation: 88-72=16, Resulting Numbers: [14, 11, 16]
Generated Node #0,1: 78:[14, 11, 16] Operation: 88-72=16
Exploring Operation: 88-11=77, Resulting Numbers: [14, 72, 77]
Generated Node #0,2: 78:[14, 72, 77] Operation: 88-11=77
Moving to Node #0,1
Current State: 78:[14, 11, 16], Operations: ['88-72=16']
Exploring Operation: 16-11=5, Resulting Numbers: [14, 5]
Generated Node #0,1,0: 78:[14, 5] Operation: 16-11=5
Exploring Operation: 11+16=27, Resulting Numbers: [14, 27]
Generated Node #0,1,1: 78:[14, 27] Operation: 11+16=27
Exploring Operation: 16-14=2, Resulting Numbers: [11, 2]
Generated Node #0,1,2: 78:[11, 2] Operation: 16-14=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 78:[14, 5], Operations: ['88-72=16', '16-11=5']
Exploring Operation: 14+5=19, Resulting Numbers: [19]
19,78 unequal: No Solution
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,78 unequal: No Solution
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 78:[14, 27], Operations: ['88-72=16', '11+16=27']
Exploring Operation: 14+27=41, Resulting Numbers: [41]
41,78 unequal: No Solution
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,78 unequal: No Solution
Exploring Operation: 14*27=378, Resulting Numbers: [378]
378,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 78:[11, 2], Operations: ['88-72=16', '16-14=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,78 unequal: No Solution
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,78 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 78:[14, 72, 77], Operations: ['88-11=77']
Exploring Operation: 77-72=5, Resulting Numbers: [14, 5]
Generated Node #0,2,0: 78:[14, 5] Operation: 77-72=5
Exploring Operation: 14+72=86, Resulting Numbers: [77, 86]
Generated Node #0,2,1: 78:[77, 86] Operation: 14+72=86
Exploring Operation: 14+77=91, Resulting Numbers: [72, 91]
Generated Node #0,2,2: 78:[72, 91] Operation: 14+77=91
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 78:[14, 5], Operations: ['88-11=77', '77-72=5']
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,78 unequal: No Solution
Exploring Operation: 14+5=19, Resulting Numbers: [19]
19,78 unequal: No Solution
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 78:[77, 86], Operations: ['88-11=77', '14+72=86']
Exploring Operation: 77*86=6622, Resulting Numbers: [6622]
6622,78 unequal: No Solution
Exploring Operation: 77+86=163, Resulting Numbers: [163]
163,78 unequal: No Solution
Exploring Operation: 86-77=9, Resulting Numbers: [9]
9,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 78:[72, 91], Operations: ['88-11=77', '14+77=91']
Exploring Operation: 91-72=19, Resulting Numbers: [19]
19,78 unequal: No Solution
Exploring Operation: 72+91=163, Resulting Numbers: [163]
163,78 unequal: No Solution
Exploring Operation: 72*91=6552, Resulting Numbers: [6552]
6552,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 78:[14, 72, 8], Operations: ['88/11=8']
Exploring Operation: 14-8=6, Resulting Numbers: [72, 6]
Generated Node #0,0,0: 78:[72, 6] Operation: 14-8=6
Exploring Operation: 72+8=80, Resulting Numbers: [14, 80]
Generated Node #0,0,1: 78:[14, 80] Operation: 72+8=80
Exploring Operation: 72/8=9, Resulting Numbers: [14, 9]
Generated Node #0,0,2: 78:[14, 9] Operation: 72/8=9
Moving to Node #0,0,1
Current State: 78:[14, 80], Operations: ['88/11=8', '72+8=80']
Exploring Operation: 80-14=66, Resulting Numbers: [66]
66,78 unequal: No Solution
Exploring Operation: 14+80=94, Resulting Numbers: [94]
94,78 unequal: No Solution
Exploring Operation: 14*80=1120, Resulting Numbers: [1120]
1120,78 unequal: No Solution
Moving to Node #0,0,2
Current State: 78:[14, 9], Operations: ['88/11=8', '72/8=9']
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,78 unequal: No Solution
Exploring Operation: 14*9=126, Resulting Numbers: [126]
126,78 unequal: No Solution
Exploring Operation: 14+9=23, Resulting Numbers: [23]
23,78 unequal: No Solution
Moving to Node #0,0,0
Current State: 78:[72, 6], Operations: ['88/11=8', '14-8=6']
Exploring Operation: 72/6=12, Resulting Numbers: [12]
12,78 unequal: No Solution
Exploring Operation: 72+6=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[88, 14, 72, 11], Operations: []
Exploring Operation: 88/11=8, Resulting Numbers: [14, 72, 8]
Generated Node #0,0: 78:[14, 72, 8] Operation: 88/11=8
Moving to Node #0,0
Current State: 78:[14, 72, 8], Operations: ['88/11=8']
Exploring Operation: 14-8=6, Resulting Numbers: [72, 6]
Generated Node #0,0,0: 78:[72, 6] Operation: 14-8=6
Moving to Node #0,0,0
Current State: 78:[72, 6], Operations: ['88/11=8', '14-8=6']
Exploring Operation: 72+6=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 0.963542 |
hs_3
|
mult_heuristic
|
[
5,
35,
87,
1
] | 89 |
[
"5*35=175",
"87-1=86",
"175-86=89"
] |
Current State: 89:[5, 35, 87, 1], Operations: []
Exploring Operation: 5*35=175, Resulting Numbers: [87, 1, 175]
Generated Node #2: [87, 1, 175] from Operation: 5*35=175
Current State: 89:[87, 1, 175], Operations: ['5*35=175']
Exploring Operation: 87-1=86, Resulting Numbers: [175, 86]
Generated Node #3: [175, 86] from Operation: 87-1=86
Current State: 89:[175, 86], Operations: ['5*35=175', '87-1=86']
Exploring Operation: 175-86=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
Current State: 89:[5, 35, 87, 1], Operations: []
Exploring Operation: 5+1=6, Resulting Numbers: [35, 87, 6]
Generated Node #0,0: 89:[35, 87, 6] Operation: 5+1=6
Exploring Operation: 5+35=40, Resulting Numbers: [87, 1, 40]
Generated Node #0,1: 89:[87, 1, 40] Operation: 5+35=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[35, 87, 6], Operations: ['5+1=6']
Exploring Operation: 87+6=93, Resulting Numbers: [35, 93]
Generated Node #0,0,0: 89:[35, 93] Operation: 87+6=93
Exploring Operation: 35+6=41, Resulting Numbers: [87, 41]
Generated Node #0,0,1: 89:[87, 41] Operation: 35+6=41
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 89:[87, 41], Operations: ['5+1=6', '35+6=41']
Exploring Operation: 87+41=128, Resulting Numbers: [128]
128,89 unequal: No Solution
Exploring Operation: 87-41=46, Resulting Numbers: [46]
46,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[35, 93], Operations: ['5+1=6', '87+6=93']
Exploring Operation: 93-35=58, Resulting Numbers: [58]
58,89 unequal: No Solution
Exploring Operation: 35+93=128, Resulting Numbers: [128]
128,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[87, 1, 40], Operations: ['5+35=40']
Exploring Operation: 87+1=88, Resulting Numbers: [40, 88]
Generated Node #0,1,0: 89:[40, 88] Operation: 87+1=88
Exploring Operation: 1+40=41, Resulting Numbers: [87, 41]
Generated Node #0,1,1: 89:[87, 41] Operation: 1+40=41
Moving to Node #0,1,0
Current State: 89:[40, 88], Operations: ['5+35=40', '87+1=88']
Exploring Operation: 88-40=48, Resulting Numbers: [48]
48,89 unequal: No Solution
Exploring Operation: 40+88=128, Resulting Numbers: [128]
128,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[87, 41], Operations: ['5+35=40', '1+40=41']
Exploring Operation: 87+41=128, Resulting Numbers: [128]
128,89 unequal: No Solution
Exploring Operation: 87-41=46, Resulting Numbers: [46]
46,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
87,
29,
21,
52
] | 11 |
[
"87/29=3",
"21*3=63",
"63-52=11"
] |
Current State: 11:[87, 29, 21, 52], Operations: []
Exploring Operation: 87/29=3, Resulting Numbers: [21, 52, 3]
Generated Node #2: [21, 52, 3] from Operation: 87/29=3
Current State: 11:[21, 52, 3], Operations: ['87/29=3']
Exploring Operation: 21*3=63, Resulting Numbers: [52, 63]
Generated Node #3: [52, 63] from Operation: 21*3=63
Current State: 11:[52, 63], Operations: ['87/29=3', '21*3=63']
Exploring Operation: 63-52=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
Current State: 11:[87, 29, 21, 52], Operations: []
Exploring Operation: 87/29=3, Resulting Numbers: [21, 52, 3]
Generated Node #0,0: 11:[21, 52, 3] Operation: 87/29=3
Exploring Operation: 87-52=35, Resulting Numbers: [29, 21, 35]
Generated Node #0,1: 11:[29, 21, 35] Operation: 87-52=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[29, 21, 35], Operations: ['87-52=35']
Exploring Operation: 35-29=6, Resulting Numbers: [21, 6]
Generated Node #0,1,0: 11:[21, 6] Operation: 35-29=6
Exploring Operation: 35-21=14, Resulting Numbers: [29, 14]
Generated Node #0,1,1: 11:[29, 14] Operation: 35-21=14
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 11:[21, 6], Operations: ['87-52=35', '35-29=6']
Exploring Operation: 21+6=27, Resulting Numbers: [27]
27,11 unequal: No Solution
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 11:[29, 14], Operations: ['87-52=35', '35-21=14']
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,11 unequal: No Solution
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[21, 52, 3], Operations: ['87/29=3']
Exploring Operation: 21/3=7, Resulting Numbers: [52, 7]
Generated Node #0,0,0: 11:[52, 7] Operation: 21/3=7
Exploring Operation: 52-21=31, Resulting Numbers: [3, 31]
Generated Node #0,0,1: 11:[3, 31] Operation: 52-21=31
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 11:[3, 31], Operations: ['87/29=3', '52-21=31']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,11 unequal: No Solution
Exploring Operation: 3+31=34, Resulting Numbers: [34]
34,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 11:[52, 7], Operations: ['87/29=3', '21/3=7']
Exploring Operation: 52+7=59, Resulting Numbers: [59]
59,11 unequal: No Solution
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
93,
36,
90,
87
] | 67 |
[
"90-87=3",
"93/3=31",
"36+31=67"
] |
Current State: 67:[93, 36, 90, 87], Operations: []
Exploring Operation: 90-87=3, Resulting Numbers: [93, 36, 3]
Generated Node #2: [93, 36, 3] from Operation: 90-87=3
Current State: 67:[93, 36, 3], Operations: ['90-87=3']
Exploring Operation: 93/3=31, Resulting Numbers: [36, 31]
Generated Node #3: [36, 31] from Operation: 93/3=31
Current State: 67:[36, 31], Operations: ['90-87=3', '93/3=31']
Exploring Operation: 36+31=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
Current State: 67:[93, 36, 90, 87], Operations: []
Exploring Operation: 90-36=54, Resulting Numbers: [93, 87, 54]
Generated Node #0,0: 67:[93, 87, 54] Operation: 90-36=54
Exploring Operation: 93-36=57, Resulting Numbers: [90, 87, 57]
Generated Node #0,1: 67:[90, 87, 57] Operation: 93-36=57
Moving to Node #0,1
Current State: 67:[90, 87, 57], Operations: ['93-36=57']
Exploring Operation: 90-57=33, Resulting Numbers: [87, 33]
Generated Node #0,1,0: 67:[87, 33] Operation: 90-57=33
Exploring Operation: 87-57=30, Resulting Numbers: [90, 30]
Generated Node #0,1,1: 67:[90, 30] Operation: 87-57=30
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 67:[87, 33], Operations: ['93-36=57', '90-57=33']
Exploring Operation: 87+33=120, Resulting Numbers: [120]
120,67 unequal: No Solution
Exploring Operation: 87-33=54, Resulting Numbers: [54]
54,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 67:[90, 30], Operations: ['93-36=57', '87-57=30']
Exploring Operation: 90-30=60, Resulting Numbers: [60]
60,67 unequal: No Solution
Exploring Operation: 90+30=120, Resulting Numbers: [120]
120,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 67:[93, 87, 54], Operations: ['90-36=54']
Exploring Operation: 87-54=33, Resulting Numbers: [93, 33]
Generated Node #0,0,0: 67:[93, 33] Operation: 87-54=33
Exploring Operation: 93-54=39, Resulting Numbers: [87, 39]
Generated Node #0,0,1: 67:[87, 39] Operation: 93-54=39
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 67:[87, 39], Operations: ['90-36=54', '93-54=39']
Exploring Operation: 87-39=48, Resulting Numbers: [48]
48,67 unequal: No Solution
Exploring Operation: 87+39=126, Resulting Numbers: [126]
126,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[93, 33], Operations: ['90-36=54', '87-54=33']
Exploring Operation: 93+33=126, Resulting Numbers: [126]
126,67 unequal: No Solution
Exploring Operation: 93-33=60, Resulting Numbers: [60]
60,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
27,
23,
9,
2
] | 40 |
[
"27/9=3",
"23-3=20",
"2*20=40"
] |
Current State: 40:[27, 23, 9, 2], Operations: []
Exploring Operation: 27/9=3, Resulting Numbers: [23, 2, 3]
Generated Node #2: [23, 2, 3] from Operation: 27/9=3
Current State: 40:[23, 2, 3], Operations: ['27/9=3']
Exploring Operation: 23-3=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 23-3=20
Current State: 40:[2, 20], Operations: ['27/9=3', '23-3=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
Current State: 40:[27, 23, 9, 2], Operations: []
Exploring Operation: 27-23=4, Resulting Numbers: [9, 2, 4]
Generated Node #0,0: 40:[9, 2, 4] Operation: 27-23=4
Exploring Operation: 27+9=36, Resulting Numbers: [23, 2, 36]
Generated Node #0,1: 40:[23, 2, 36] Operation: 27+9=36
Exploring Operation: 27/9=3, Resulting Numbers: [23, 2, 3]
Generated Node #0,2: 40:[23, 2, 3] Operation: 27/9=3
Exploring Operation: 27-2=25, Resulting Numbers: [23, 9, 25]
Generated Node #0,3: 40:[23, 9, 25] Operation: 27-2=25
Exploring Operation: 27-9=18, Resulting Numbers: [23, 2, 18]
Generated Node #0,4: 40:[23, 2, 18] Operation: 27-9=18
Moving to Node #0,0
Current State: 40:[9, 2, 4], Operations: ['27-23=4']
Exploring Operation: 9-4=5, Resulting Numbers: [2, 5]
Generated Node #0,0,0: 40:[2, 5] Operation: 9-4=5
Exploring Operation: 2*4=8, Resulting Numbers: [9, 8]
Generated Node #0,0,1: 40:[9, 8] Operation: 2*4=8
Exploring Operation: 4-2=2, Resulting Numbers: [9, 2]
Generated Node #0,0,2: 40:[9, 2] Operation: 4-2=2
Exploring Operation: 9+2=11, Resulting Numbers: [4, 11]
Generated Node #0,0,3: 40:[4, 11] Operation: 9+2=11
Exploring Operation: 9-2=7, Resulting Numbers: [4, 7]
Generated Node #0,0,4: 40:[4, 7] Operation: 9-2=7
Moving to Node #0,2
Current State: 40:[23, 2, 3], Operations: ['27/9=3']
Exploring Operation: 3-2=1, Resulting Numbers: [23, 1]
Generated Node #0,2,0: 40:[23, 1] Operation: 3-2=1
Exploring Operation: 2*3=6, Resulting Numbers: [23, 6]
Generated Node #0,2,1: 40:[23, 6] Operation: 2*3=6
Exploring Operation: 2+3=5, Resulting Numbers: [23, 5]
Generated Node #0,2,2: 40:[23, 5] Operation: 2+3=5
Exploring Operation: 23-3=20, Resulting Numbers: [2, 20]
Generated Node #0,2,3: 40:[2, 20] Operation: 23-3=20
Exploring Operation: 23-2=21, Resulting Numbers: [3, 21]
Generated Node #0,2,4: 40:[3, 21] Operation: 23-2=21
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 40:[2, 20], Operations: ['27/9=3', '23-3=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[27, 23, 9, 2], Operations: []
Exploring Operation: 27/9=3, Resulting Numbers: [23, 2, 3]
Generated Node #0,2: 40:[23, 2, 3] Operation: 27/9=3
Moving to Node #0,2
Current State: 40:[23, 2, 3], Operations: ['27/9=3']
Exploring Operation: 23-3=20, Resulting Numbers: [2, 20]
Generated Node #0,2,3: 40:[2, 20] Operation: 23-3=20
Moving to Node #0,2,3
Current State: 40:[2, 20], Operations: ['27/9=3', '23-3=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 |
hs_5
|
mult_heuristic
|
[
53,
17,
34,
41
] | 82 |
[
"53-17=36",
"36-34=2",
"41*2=82"
] |
Current State: 82:[53, 17, 34, 41], Operations: []
Exploring Operation: 53-17=36, Resulting Numbers: [34, 41, 36]
Generated Node #2: [34, 41, 36] from Operation: 53-17=36
Current State: 82:[34, 41, 36], Operations: ['53-17=36']
Exploring Operation: 36-34=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 36-34=2
Current State: 82:[41, 2], Operations: ['53-17=36', '36-34=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
Current State: 82:[53, 17, 34, 41], Operations: []
Exploring Operation: 53-17=36, Resulting Numbers: [34, 41, 36]
Generated Node #0,0: 82:[34, 41, 36] Operation: 53-17=36
Exploring Operation: 34/17=2, Resulting Numbers: [53, 41, 2]
Generated Node #0,1: 82:[53, 41, 2] Operation: 34/17=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[34, 41, 36], Operations: ['53-17=36']
Exploring Operation: 36-34=2, Resulting Numbers: [41, 2]
Generated Node #0,0,0: 82:[41, 2] Operation: 36-34=2
Exploring Operation: 41-34=7, Resulting Numbers: [36, 7]
Generated Node #0,0,1: 82:[36, 7] Operation: 41-34=7
Moving to Node #0,0,0
Current State: 82:[41, 2], Operations: ['53-17=36', '36-34=2']
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,82 unequal: No Solution
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[53, 17, 34, 41], Operations: []
Exploring Operation: 53-17=36, Resulting Numbers: [34, 41, 36]
Generated Node #0,0: 82:[34, 41, 36] Operation: 53-17=36
Moving to Node #0,0
Current State: 82:[34, 41, 36], Operations: ['53-17=36']
Exploring Operation: 36-34=2, Resulting Numbers: [41, 2]
Generated Node #0,0,0: 82:[41, 2] Operation: 36-34=2
Moving to Node #0,0,0
Current State: 82:[41, 2], Operations: ['53-17=36', '36-34=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 |
hs_2
|
sum_heuristic
|
[
65,
83,
29,
24
] | 90 |
[
"83-65=18",
"29-24=5",
"18*5=90"
] |
Current State: 90:[65, 83, 29, 24], Operations: []
Exploring Operation: 83-65=18, Resulting Numbers: [29, 24, 18]
Generated Node #2: [29, 24, 18] from Operation: 83-65=18
Current State: 90:[29, 24, 18], Operations: ['83-65=18']
Exploring Operation: 29-24=5, Resulting Numbers: [18, 5]
Generated Node #3: [18, 5] from Operation: 29-24=5
Current State: 90:[18, 5], Operations: ['83-65=18', '29-24=5']
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
Current State: 90:[65, 83, 29, 24], Operations: []
Exploring Operation: 83-65=18, Resulting Numbers: [29, 24, 18]
Generated Node #0,0: 90:[29, 24, 18] Operation: 83-65=18
Moving to Node #0,0
Current State: 90:[29, 24, 18], Operations: ['83-65=18']
Exploring Operation: 29-24=5, Resulting Numbers: [18, 5]
Generated Node #0,0,0: 90:[18, 5] Operation: 29-24=5
Moving to Node #0,0,0
Current State: 90:[18, 5], Operations: ['83-65=18', '29-24=5']
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[65, 83, 29, 24], Operations: []
Exploring Operation: 83-65=18, Resulting Numbers: [29, 24, 18]
Generated Node #0,0: 90:[29, 24, 18] Operation: 83-65=18
Moving to Node #0,0
Current State: 90:[29, 24, 18], Operations: ['83-65=18']
Exploring Operation: 29-24=5, Resulting Numbers: [18, 5]
Generated Node #0,0,0: 90:[18, 5] Operation: 29-24=5
Moving to Node #0,0,0
Current State: 90:[18, 5], Operations: ['83-65=18', '29-24=5']
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 0.993924 |
hs_1
|
mult_heuristic
|
[
3,
20,
88,
16
] | 81 |
[
"3+20=23",
"88+16=104",
"104-23=81"
] |
Current State: 81:[3, 20, 88, 16], Operations: []
Exploring Operation: 3+20=23, Resulting Numbers: [88, 16, 23]
Generated Node #2: [88, 16, 23] from Operation: 3+20=23
Current State: 81:[88, 16, 23], Operations: ['3+20=23']
Exploring Operation: 88+16=104, Resulting Numbers: [23, 104]
Generated Node #3: [23, 104] from Operation: 88+16=104
Current State: 81:[23, 104], Operations: ['3+20=23', '88+16=104']
Exploring Operation: 104-23=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
Current State: 81:[3, 20, 88, 16], Operations: []
Exploring Operation: 20+16=36, Resulting Numbers: [3, 88, 36]
Generated Node #0,0: 81:[3, 88, 36] Operation: 20+16=36
Exploring Operation: 20-16=4, Resulting Numbers: [3, 88, 4]
Generated Node #0,1: 81:[3, 88, 4] Operation: 20-16=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 81:[3, 88, 4], Operations: ['20-16=4']
Exploring Operation: 88-4=84, Resulting Numbers: [3, 84]
Generated Node #0,1,0: 81:[3, 84] Operation: 88-4=84
Exploring Operation: 88-3=85, Resulting Numbers: [4, 85]
Generated Node #0,1,1: 81:[4, 85] Operation: 88-3=85
Moving to Node #0,1,0
Current State: 81:[3, 84], Operations: ['20-16=4', '88-4=84']
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,81 unequal: No Solution
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[3, 20, 88, 16], Operations: []
Exploring Operation: 20-16=4, Resulting Numbers: [3, 88, 4]
Generated Node #0,1: 81:[3, 88, 4] Operation: 20-16=4
Moving to Node #0,1
Current State: 81:[3, 88, 4], Operations: ['20-16=4']
Exploring Operation: 88-4=84, Resulting Numbers: [3, 84]
Generated Node #0,1,0: 81:[3, 84] Operation: 88-4=84
Moving to Node #0,1,0
Current State: 81:[3, 84], Operations: ['20-16=4', '88-4=84']
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 |
hs_2
|
mult_heuristic
|
[
75,
23,
36,
4
] | 20 |
[
"75-23=52",
"36-4=32",
"52-32=20"
] |
Current State: 20:[75, 23, 36, 4], Operations: []
Exploring Operation: 75-23=52, Resulting Numbers: [36, 4, 52]
Generated Node #2: [36, 4, 52] from Operation: 75-23=52
Current State: 20:[36, 4, 52], Operations: ['75-23=52']
Exploring Operation: 36-4=32, Resulting Numbers: [52, 32]
Generated Node #3: [52, 32] from Operation: 36-4=32
Current State: 20:[52, 32], Operations: ['75-23=52', '36-4=32']
Exploring Operation: 52-32=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
Current State: 20:[75, 23, 36, 4], Operations: []
Exploring Operation: 75-36=39, Resulting Numbers: [23, 4, 39]
Generated Node #0,0: 20:[23, 4, 39] Operation: 75-36=39
Exploring Operation: 75-23=52, Resulting Numbers: [36, 4, 52]
Generated Node #0,1: 20:[36, 4, 52] Operation: 75-23=52
Exploring Operation: 36-23=13, Resulting Numbers: [75, 4, 13]
Generated Node #0,2: 20:[75, 4, 13] Operation: 36-23=13
Moving to Node #0,0
Current State: 20:[23, 4, 39], Operations: ['75-36=39']
Exploring Operation: 23-4=19, Resulting Numbers: [39, 19]
Generated Node #0,0,0: 20:[39, 19] Operation: 23-4=19
Exploring Operation: 39-4=35, Resulting Numbers: [23, 35]
Generated Node #0,0,1: 20:[23, 35] Operation: 39-4=35
Exploring Operation: 39-23=16, Resulting Numbers: [4, 16]
Generated Node #0,0,2: 20:[4, 16] Operation: 39-23=16
Moving to Node #0,1
Current State: 20:[36, 4, 52], Operations: ['75-23=52']
Exploring Operation: 52/4=13, Resulting Numbers: [36, 13]
Generated Node #0,1,0: 20:[36, 13] Operation: 52/4=13
Exploring Operation: 52-36=16, Resulting Numbers: [4, 16]
Generated Node #0,1,1: 20:[4, 16] Operation: 52-36=16
Exploring Operation: 36/4=9, Resulting Numbers: [52, 9]
Generated Node #0,1,2: 20:[52, 9] Operation: 36/4=9
Moving to Node #0,2
Current State: 20:[75, 4, 13], Operations: ['36-23=13']
Exploring Operation: 75-13=62, Resulting Numbers: [4, 62]
Generated Node #0,2,0: 20:[4, 62] Operation: 75-13=62
Exploring Operation: 75-4=71, Resulting Numbers: [13, 71]
Generated Node #0,2,1: 20:[13, 71] Operation: 75-4=71
Exploring Operation: 13-4=9, Resulting Numbers: [75, 9]
Generated Node #0,2,2: 20:[75, 9] Operation: 13-4=9
Moving to Node #0,0,2
Current State: 20:[4, 16], Operations: ['75-36=39', '39-23=16']
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[75, 23, 36, 4], Operations: []
Exploring Operation: 75-36=39, Resulting Numbers: [23, 4, 39]
Generated Node #0,0: 20:[23, 4, 39] Operation: 75-36=39
Moving to Node #0,0
Current State: 20:[23, 4, 39], Operations: ['75-36=39']
Exploring Operation: 39-23=16, Resulting Numbers: [4, 16]
Generated Node #0,0,2: 20:[4, 16] Operation: 39-23=16
Moving to Node #0,0,2
Current State: 20:[4, 16], Operations: ['75-36=39', '39-23=16']
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 0.985243 |
hs_3
|
sum_heuristic
|
[
99,
51,
17,
5
] | 60 |
[
"99-51=48",
"17-5=12",
"48+12=60"
] |
Current State: 60:[99, 51, 17, 5], Operations: []
Exploring Operation: 99-51=48, Resulting Numbers: [17, 5, 48]
Generated Node #2: [17, 5, 48] from Operation: 99-51=48
Current State: 60:[17, 5, 48], Operations: ['99-51=48']
Exploring Operation: 17-5=12, Resulting Numbers: [48, 12]
Generated Node #3: [48, 12] from Operation: 17-5=12
Current State: 60:[48, 12], Operations: ['99-51=48', '17-5=12']
Exploring Operation: 48+12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
Current State: 60:[99, 51, 17, 5], Operations: []
Exploring Operation: 99-51=48, Resulting Numbers: [17, 5, 48]
Generated Node #0,0: 60:[17, 5, 48] Operation: 99-51=48
Exploring Operation: 51/17=3, Resulting Numbers: [99, 5, 3]
Generated Node #0,1: 60:[99, 5, 3] Operation: 51/17=3
Exploring Operation: 51-17=34, Resulting Numbers: [99, 5, 34]
Generated Node #0,2: 60:[99, 5, 34] Operation: 51-17=34
Exploring Operation: 99-17=82, Resulting Numbers: [51, 5, 82]
Generated Node #0,3: 60:[51, 5, 82] Operation: 99-17=82
Exploring Operation: 99-5=94, Resulting Numbers: [51, 17, 94]
Generated Node #0,4: 60:[51, 17, 94] Operation: 99-5=94
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[17, 5, 48], Operations: ['99-51=48']
Exploring Operation: 5+48=53, Resulting Numbers: [17, 53]
Generated Node #0,0,0: 60:[17, 53] Operation: 5+48=53
Exploring Operation: 17-5=12, Resulting Numbers: [48, 12]
Generated Node #0,0,1: 60:[48, 12] Operation: 17-5=12
Exploring Operation: 17+5=22, Resulting Numbers: [48, 22]
Generated Node #0,0,2: 60:[48, 22] Operation: 17+5=22
Exploring Operation: 48-17=31, Resulting Numbers: [5, 31]
Generated Node #0,0,3: 60:[5, 31] Operation: 48-17=31
Exploring Operation: 17+48=65, Resulting Numbers: [5, 65]
Generated Node #0,0,4: 60:[5, 65] Operation: 17+48=65
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 60:[5, 31], Operations: ['99-51=48', '48-17=31']
Exploring Operation: 5*31=155, Resulting Numbers: [155]
155,60 unequal: No Solution
Exploring Operation: 5+31=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 60:[5, 65], Operations: ['99-51=48', '17+48=65']
Exploring Operation: 5+65=70, Resulting Numbers: [70]
70,60 unequal: No Solution
Exploring Operation: 65-5=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[99, 51, 17, 5], Operations: []
Exploring Operation: 99-51=48, Resulting Numbers: [17, 5, 48]
Generated Node #0,0: 60:[17, 5, 48] Operation: 99-51=48
Moving to Node #0,0
Current State: 60:[17, 5, 48], Operations: ['99-51=48']
Exploring Operation: 17+48=65, Resulting Numbers: [5, 65]
Generated Node #0,0,4: 60:[5, 65] Operation: 17+48=65
Moving to Node #0,0,4
Current State: 60:[5, 65], Operations: ['99-51=48', '17+48=65']
Exploring Operation: 65-5=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 |
hs_5
|
sum_heuristic
|
[
81,
85,
87,
64
] | 47 |
[
"87-85=2",
"64*2=128",
"128-81=47"
] |
Current State: 47:[81, 85, 87, 64], Operations: []
Exploring Operation: 87-85=2, Resulting Numbers: [81, 64, 2]
Generated Node #2: [81, 64, 2] from Operation: 87-85=2
Current State: 47:[81, 64, 2], Operations: ['87-85=2']
Exploring Operation: 64*2=128, Resulting Numbers: [81, 128]
Generated Node #3: [81, 128] from Operation: 64*2=128
Current State: 47:[81, 128], Operations: ['87-85=2', '64*2=128']
Exploring Operation: 128-81=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
Current State: 47:[81, 85, 87, 64], Operations: []
Exploring Operation: 87-81=6, Resulting Numbers: [85, 64, 6]
Generated Node #0,0: 47:[85, 64, 6] Operation: 87-81=6
Moving to Node #0,0
Current State: 47:[85, 64, 6], Operations: ['87-81=6']
Exploring Operation: 85-6=79, Resulting Numbers: [64, 79]
Generated Node #0,0,0: 47:[64, 79] Operation: 85-6=79
Moving to Node #0,0,0
Current State: 47:[64, 79], Operations: ['87-81=6', '85-6=79']
Exploring Operation: 79-64=15, Resulting Numbers: [15]
15,47 unequal: No Solution
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
13,
91,
62,
43
] | 59 |
[
"91-13=78",
"62-43=19",
"78-19=59"
] |
Current State: 59:[13, 91, 62, 43], Operations: []
Exploring Operation: 91-13=78, Resulting Numbers: [62, 43, 78]
Generated Node #2: [62, 43, 78] from Operation: 91-13=78
Current State: 59:[62, 43, 78], Operations: ['91-13=78']
Exploring Operation: 62-43=19, Resulting Numbers: [78, 19]
Generated Node #3: [78, 19] from Operation: 62-43=19
Current State: 59:[78, 19], Operations: ['91-13=78', '62-43=19']
Exploring Operation: 78-19=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
Current State: 59:[13, 91, 62, 43], Operations: []
Exploring Operation: 13+43=56, Resulting Numbers: [91, 62, 56]
Generated Node #0,0: 59:[91, 62, 56] Operation: 13+43=56
Exploring Operation: 62-13=49, Resulting Numbers: [91, 43, 49]
Generated Node #0,1: 59:[91, 43, 49] Operation: 62-13=49
Exploring Operation: 91-13=78, Resulting Numbers: [62, 43, 78]
Generated Node #0,2: 59:[62, 43, 78] Operation: 91-13=78
Moving to Node #0,0
Current State: 59:[91, 62, 56], Operations: ['13+43=56']
Exploring Operation: 91-56=35, Resulting Numbers: [62, 35]
Generated Node #0,0,0: 59:[62, 35] Operation: 91-56=35
Exploring Operation: 62-56=6, Resulting Numbers: [91, 6]
Generated Node #0,0,1: 59:[91, 6] Operation: 62-56=6
Exploring Operation: 91-62=29, Resulting Numbers: [56, 29]
Generated Node #0,0,2: 59:[56, 29] Operation: 91-62=29
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[62, 35], Operations: ['13+43=56', '91-56=35']
Exploring Operation: 62+35=97, Resulting Numbers: [97]
97,59 unequal: No Solution
Exploring Operation: 62*35=2170, Resulting Numbers: [2170]
2170,59 unequal: No Solution
Exploring Operation: 62-35=27, Resulting Numbers: [27]
27,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 59:[56, 29], Operations: ['13+43=56', '91-62=29']
Exploring Operation: 56+29=85, Resulting Numbers: [85]
85,59 unequal: No Solution
Exploring Operation: 56-29=27, Resulting Numbers: [27]
27,59 unequal: No Solution
Exploring Operation: 56*29=1624, Resulting Numbers: [1624]
1624,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 59:[91, 6], Operations: ['13+43=56', '62-56=6']
Exploring Operation: 91+6=97, Resulting Numbers: [97]
97,59 unequal: No Solution
Exploring Operation: 91-6=85, Resulting Numbers: [85]
85,59 unequal: No Solution
Exploring Operation: 91*6=546, Resulting Numbers: [546]
546,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 59:[62, 43, 78], Operations: ['91-13=78']
Exploring Operation: 78-62=16, Resulting Numbers: [43, 16]
Generated Node #0,2,0: 59:[43, 16] Operation: 78-62=16
Exploring Operation: 62-43=19, Resulting Numbers: [78, 19]
Generated Node #0,2,1: 59:[78, 19] Operation: 62-43=19
Exploring Operation: 78-43=35, Resulting Numbers: [62, 35]
Generated Node #0,2,2: 59:[62, 35] Operation: 78-43=35
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 59:[62, 35], Operations: ['91-13=78', '78-43=35']
Exploring Operation: 62*35=2170, Resulting Numbers: [2170]
2170,59 unequal: No Solution
Exploring Operation: 62+35=97, Resulting Numbers: [97]
97,59 unequal: No Solution
Exploring Operation: 62-35=27, Resulting Numbers: [27]
27,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 59:[43, 16], Operations: ['91-13=78', '78-62=16']
Exploring Operation: 43*16=688, Resulting Numbers: [688]
688,59 unequal: No Solution
Exploring Operation: 43+16=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[13, 91, 62, 43], Operations: []
Exploring Operation: 91-13=78, Resulting Numbers: [62, 43, 78]
Generated Node #0,2: 59:[62, 43, 78] Operation: 91-13=78
Moving to Node #0,2
Current State: 59:[62, 43, 78], Operations: ['91-13=78']
Exploring Operation: 78-62=16, Resulting Numbers: [43, 16]
Generated Node #0,2,0: 59:[43, 16] Operation: 78-62=16
Moving to Node #0,2,0
Current State: 59:[43, 16], Operations: ['91-13=78', '78-62=16']
Exploring Operation: 43+16=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 |
hs_3
|
mult_heuristic
|
[
58,
5,
69,
7
] | 95 |
[
"58*7=406",
"69+406=475",
"475/5=95"
] |
Current State: 95:[58, 5, 69, 7], Operations: []
Exploring Operation: 58*7=406, Resulting Numbers: [5, 69, 406]
Generated Node #2: [5, 69, 406] from Operation: 58*7=406
Current State: 95:[5, 69, 406], Operations: ['58*7=406']
Exploring Operation: 69+406=475, Resulting Numbers: [5, 475]
Generated Node #3: [5, 475] from Operation: 69+406=475
Current State: 95:[5, 475], Operations: ['58*7=406', '69+406=475']
Exploring Operation: 475/5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
Current State: 95:[58, 5, 69, 7], Operations: []
Exploring Operation: 58+69=127, Resulting Numbers: [5, 7, 127]
Generated Node #0,0: 95:[5, 7, 127] Operation: 58+69=127
Exploring Operation: 69-58=11, Resulting Numbers: [5, 7, 11]
Generated Node #0,1: 95:[5, 7, 11] Operation: 69-58=11
Exploring Operation: 69+7=76, Resulting Numbers: [58, 5, 76]
Generated Node #0,2: 95:[58, 5, 76] Operation: 69+7=76
Exploring Operation: 58+7=65, Resulting Numbers: [5, 69, 65]
Generated Node #0,3: 95:[5, 69, 65] Operation: 58+7=65
Exploring Operation: 58-7=51, Resulting Numbers: [5, 69, 51]
Generated Node #0,4: 95:[5, 69, 51] Operation: 58-7=51
Moving to Node #0,1
Current State: 95:[5, 7, 11], Operations: ['69-58=11']
Exploring Operation: 11-7=4, Resulting Numbers: [5, 4]
Generated Node #0,1,0: 95:[5, 4] Operation: 11-7=4
Exploring Operation: 7-5=2, Resulting Numbers: [11, 2]
Generated Node #0,1,1: 95:[11, 2] Operation: 7-5=2
Exploring Operation: 7+11=18, Resulting Numbers: [5, 18]
Generated Node #0,1,2: 95:[5, 18] Operation: 7+11=18
Exploring Operation: 11-5=6, Resulting Numbers: [7, 6]
Generated Node #0,1,3: 95:[7, 6] Operation: 11-5=6
Exploring Operation: 5+11=16, Resulting Numbers: [7, 16]
Generated Node #0,1,4: 95:[7, 16] Operation: 5+11=16
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 95:[5, 4], Operations: ['69-58=11', '11-7=4']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 95:[5, 18], Operations: ['69-58=11', '7+11=18']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,95 unequal: No Solution
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 95:[7, 6], Operations: ['69-58=11', '11-5=6']
Exploring Operation: 7+6=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 7*6=42, Resulting Numbers: [42]
42,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 95:[7, 16], Operations: ['69-58=11', '5+11=16']
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Exploring Operation: 7*16=112, Resulting Numbers: [112]
112,95 unequal: No Solution
Exploring Operation: 7+16=23, Resulting Numbers: [23]
23,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 95:[11, 2], Operations: ['69-58=11', '7-5=2']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 95:[5, 7, 127], Operations: ['58+69=127']
Exploring Operation: 5+7=12, Resulting Numbers: [127, 12]
Generated Node #0,0,0: 95:[127, 12] Operation: 5+7=12
Exploring Operation: 127-7=120, Resulting Numbers: [5, 120]
Generated Node #0,0,1: 95:[5, 120] Operation: 127-7=120
Exploring Operation: 127-5=122, Resulting Numbers: [7, 122]
Generated Node #0,0,2: 95:[7, 122] Operation: 127-5=122
Exploring Operation: 5+127=132, Resulting Numbers: [7, 132]
Generated Node #0,0,3: 95:[7, 132] Operation: 5+127=132
Exploring Operation: 7-5=2, Resulting Numbers: [127, 2]
Generated Node #0,0,4: 95:[127, 2] Operation: 7-5=2
Moving to Node #0,2
Current State: 95:[58, 5, 76], Operations: ['69+7=76']
Exploring Operation: 58-5=53, Resulting Numbers: [76, 53]
Generated Node #0,2,0: 95:[76, 53] Operation: 58-5=53
Exploring Operation: 58+76=134, Resulting Numbers: [5, 134]
Generated Node #0,2,1: 95:[5, 134] Operation: 58+76=134
Exploring Operation: 76-58=18, Resulting Numbers: [5, 18]
Generated Node #0,2,2: 95:[5, 18] Operation: 76-58=18
Exploring Operation: 5+76=81, Resulting Numbers: [58, 81]
Generated Node #0,2,3: 95:[58, 81] Operation: 5+76=81
Exploring Operation: 58+5=63, Resulting Numbers: [76, 63]
Generated Node #0,2,4: 95:[76, 63] Operation: 58+5=63
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 95:[5, 18], Operations: ['69+7=76', '76-58=18']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,95 unequal: No Solution
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 95:[5, 134], Operations: ['69+7=76', '58+76=134']
Exploring Operation: 134-5=129, Resulting Numbers: [129]
129,95 unequal: No Solution
Exploring Operation: 5+134=139, Resulting Numbers: [139]
139,95 unequal: No Solution
Exploring Operation: 5*134=670, Resulting Numbers: [670]
670,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 95:[58, 81], Operations: ['69+7=76', '5+76=81']
Exploring Operation: 58*81=4698, Resulting Numbers: [4698]
4698,95 unequal: No Solution
Exploring Operation: 58+81=139, Resulting Numbers: [139]
139,95 unequal: No Solution
Exploring Operation: 81-58=23, Resulting Numbers: [23]
23,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 95:[76, 63], Operations: ['69+7=76', '58+5=63']
Exploring Operation: 76-63=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 76+63=139, Resulting Numbers: [139]
139,95 unequal: No Solution
Exploring Operation: 76*63=4788, Resulting Numbers: [4788]
4788,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 95:[76, 53], Operations: ['69+7=76', '58-5=53']
Exploring Operation: 76-53=23, Resulting Numbers: [23]
23,95 unequal: No Solution
Exploring Operation: 76+53=129, Resulting Numbers: [129]
129,95 unequal: No Solution
Exploring Operation: 76*53=4028, Resulting Numbers: [4028]
4028,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 95:[5, 69, 65], Operations: ['58+7=65']
Exploring Operation: 5+69=74, Resulting Numbers: [65, 74]
Generated Node #0,3,0: 95:[65, 74] Operation: 5+69=74
Exploring Operation: 5+65=70, Resulting Numbers: [69, 70]
Generated Node #0,3,1: 95:[69, 70] Operation: 5+65=70
Exploring Operation: 65/5=13, Resulting Numbers: [69, 13]
Generated Node #0,3,2: 95:[69, 13] Operation: 65/5=13
Exploring Operation: 69-65=4, Resulting Numbers: [5, 4]
Generated Node #0,3,3: 95:[5, 4] Operation: 69-65=4
Exploring Operation: 69+65=134, Resulting Numbers: [5, 134]
Generated Node #0,3,4: 95:[5, 134] Operation: 69+65=134
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 95:[5, 4], Operations: ['58+7=65', '69-65=4']
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 95:[69, 13], Operations: ['58+7=65', '65/5=13']
Exploring Operation: 69-13=56, Resulting Numbers: [56]
56,95 unequal: No Solution
Exploring Operation: 69+13=82, Resulting Numbers: [82]
82,95 unequal: No Solution
Exploring Operation: 69*13=897, Resulting Numbers: [897]
897,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 95:[5, 134], Operations: ['58+7=65', '69+65=134']
Exploring Operation: 5+134=139, Resulting Numbers: [139]
139,95 unequal: No Solution
Exploring Operation: 134-5=129, Resulting Numbers: [129]
129,95 unequal: No Solution
Exploring Operation: 5*134=670, Resulting Numbers: [670]
670,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 95:[65, 74], Operations: ['58+7=65', '5+69=74']
Exploring Operation: 65+74=139, Resulting Numbers: [139]
139,95 unequal: No Solution
Exploring Operation: 74-65=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Exploring Operation: 65*74=4810, Resulting Numbers: [4810]
4810,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 95:[69, 70], Operations: ['58+7=65', '5+65=70']
Exploring Operation: 69+70=139, Resulting Numbers: [139]
139,95 unequal: No Solution
Exploring Operation: 69*70=4830, Resulting Numbers: [4830]
4830,95 unequal: No Solution
Exploring Operation: 70-69=1, Resulting Numbers: [1]
1,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 95:[5, 69, 51], Operations: ['58-7=51']
Exploring Operation: 51-5=46, Resulting Numbers: [69, 46]
Generated Node #0,4,0: 95:[69, 46] Operation: 51-5=46
Exploring Operation: 69+51=120, Resulting Numbers: [5, 120]
Generated Node #0,4,1: 95:[5, 120] Operation: 69+51=120
Exploring Operation: 69-51=18, Resulting Numbers: [5, 18]
Generated Node #0,4,2: 95:[5, 18] Operation: 69-51=18
Exploring Operation: 5+69=74, Resulting Numbers: [51, 74]
Generated Node #0,4,3: 95:[51, 74] Operation: 5+69=74
Exploring Operation: 69-5=64, Resulting Numbers: [51, 64]
Generated Node #0,4,4: 95:[51, 64] Operation: 69-5=64
Moving to Node #0,4,2
Current State: 95:[5, 18], Operations: ['58-7=51', '69-51=18']
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,95 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,95 unequal: No Solution
Moving to Node #0,0,1
Current State: 95:[5, 120], Operations: ['58+69=127', '127-7=120']
Exploring Operation: 5+120=125, Resulting Numbers: [125]
125,95 unequal: No Solution
Exploring Operation: 120/5=24, Resulting Numbers: [24]
24,95 unequal: No Solution
Exploring Operation: 5*120=600, Resulting Numbers: [600]
600,95 unequal: No Solution
Exploring Operation: 120-5=115, Resulting Numbers: [115]
115,95 unequal: No Solution
Moving to Node #0,4,1
Current State: 95:[5, 120], Operations: ['58-7=51', '69+51=120']
Exploring Operation: 5+120=125, Resulting Numbers: [125]
125,95 unequal: No Solution
Exploring Operation: 120/5=24, Resulting Numbers: [24]
24,95 unequal: No Solution
Exploring Operation: 120-5=115, Resulting Numbers: [115]
115,95 unequal: No Solution
Exploring Operation: 5*120=600, Resulting Numbers: [600]
600,95 unequal: No Solution
Moving to Node #0,0,2
Current State: 95:[7, 122], Operations: ['58+69=127', '127-5=122']
Exploring Operation: 122-7=115, Resulting Numbers: [115]
115,95 unequal: No Solution
Exploring Operation: 7*122=854, Resulting Numbers: [854]
854,95 unequal: No Solution
Exploring Operation: 7+122=129, Resulting Numbers: [129]
129,95 unequal: No Solution
Moving to Node #0,0,4
Current State: 95:[127, 2], Operations: ['58+69=127', '7-5=2']
Exploring Operation: 127*2=254, Resulting Numbers: [254]
254,95 unequal: No Solution
Exploring Operation: 127-2=125, Resulting Numbers: [125]
125,95 unequal: No Solution
Exploring Operation: 127+2=129, Resulting Numbers: [129]
129,95 unequal: No Solution
Moving to Node #0,0,3
Current State: 95:[7, 132], Operations: ['58+69=127', '5+127=132']
Exploring Operation: 132-7=125, Resulting Numbers: [125]
125,95 unequal: No Solution
Exploring Operation: 7*132=924, Resulting Numbers: [924]
924,95 unequal: No Solution
Exploring Operation: 7+132=139, Resulting Numbers: [139]
139,95 unequal: No Solution
Moving to Node #0,0,0
Current State: 95:[127, 12], Operations: ['58+69=127', '5+7=12']
Exploring Operation: 127*12=1524, Resulting Numbers: [1524]
1524,95 unequal: No Solution
Exploring Operation: 127-12=115, Resulting Numbers: [115]
115,95 unequal: No Solution
Exploring Operation: 127+12=139, Resulting Numbers: [139]
139,95 unequal: No Solution
Moving to Node #0,4,3
Current State: 95:[51, 74], Operations: ['58-7=51', '5+69=74']
Exploring Operation: 51*74=3774, Resulting Numbers: [3774]
3774,95 unequal: No Solution
Exploring Operation: 51+74=125, Resulting Numbers: [125]
125,95 unequal: No Solution
Exploring Operation: 74-51=23, Resulting Numbers: [23]
23,95 unequal: No Solution
Moving to Node #0,4,0
Current State: 95:[69, 46], Operations: ['58-7=51', '51-5=46']
Exploring Operation: 69+46=115, Resulting Numbers: [115]
115,95 unequal: No Solution
Exploring Operation: 69-46=23, Resulting Numbers: [23]
23,95 unequal: No Solution
Exploring Operation: 69*46=3174, Resulting Numbers: [3174]
3174,95 unequal: No Solution
Moving to Node #0,4,4
Current State: 95:[51, 64], Operations: ['58-7=51', '69-5=64']
Exploring Operation: 64-51=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 51+64=115, Resulting Numbers: [115]
115,95 unequal: No Solution
Exploring Operation: 51*64=3264, Resulting Numbers: [3264]
3264,95 unequal: No Solution
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
50,
75,
66,
96
] | 52 |
[
"50*66=3300",
"3300/75=44",
"96-44=52"
] |
Current State: 52:[50, 75, 66, 96], Operations: []
Exploring Operation: 50*66=3300, Resulting Numbers: [75, 96, 3300]
Generated Node #2: [75, 96, 3300] from Operation: 50*66=3300
Current State: 52:[75, 96, 3300], Operations: ['50*66=3300']
Exploring Operation: 3300/75=44, Resulting Numbers: [96, 44]
Generated Node #3: [96, 44] from Operation: 3300/75=44
Current State: 52:[96, 44], Operations: ['50*66=3300', '3300/75=44']
Exploring Operation: 96-44=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
Current State: 52:[50, 75, 66, 96], Operations: []
Exploring Operation: 96-66=30, Resulting Numbers: [50, 75, 30]
Generated Node #0,0: 52:[50, 75, 30] Operation: 96-66=30
Exploring Operation: 75-66=9, Resulting Numbers: [50, 96, 9]
Generated Node #0,1: 52:[50, 96, 9] Operation: 75-66=9
Exploring Operation: 96-50=46, Resulting Numbers: [75, 66, 46]
Generated Node #0,2: 52:[75, 66, 46] Operation: 96-50=46
Exploring Operation: 96-75=21, Resulting Numbers: [50, 66, 21]
Generated Node #0,3: 52:[50, 66, 21] Operation: 96-75=21
Start Sub Search at level 1: Moving to Node #0,3
Current State: 52:[50, 66, 21], Operations: ['96-75=21']
Exploring Operation: 66-21=45, Resulting Numbers: [50, 45]
Generated Node #0,3,0: 52:[50, 45] Operation: 66-21=45
Exploring Operation: 50-21=29, Resulting Numbers: [66, 29]
Generated Node #0,3,1: 52:[66, 29] Operation: 50-21=29
Exploring Operation: 50+21=71, Resulting Numbers: [66, 71]
Generated Node #0,3,2: 52:[66, 71] Operation: 50+21=71
Exploring Operation: 66-50=16, Resulting Numbers: [21, 16]
Generated Node #0,3,3: 52:[21, 16] Operation: 66-50=16
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 52:[21, 16], Operations: ['96-75=21', '66-50=16']
Exploring Operation: 21*16=336, Resulting Numbers: [336]
336,52 unequal: No Solution
Exploring Operation: 21+16=37, Resulting Numbers: [37]
37,52 unequal: No Solution
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 52:[50, 45], Operations: ['96-75=21', '66-21=45']
Exploring Operation: 50*45=2250, Resulting Numbers: [2250]
2250,52 unequal: No Solution
Exploring Operation: 50-45=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 50+45=95, Resulting Numbers: [95]
95,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 52:[66, 29], Operations: ['96-75=21', '50-21=29']
Exploring Operation: 66+29=95, Resulting Numbers: [95]
95,52 unequal: No Solution
Exploring Operation: 66*29=1914, Resulting Numbers: [1914]
1914,52 unequal: No Solution
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 52:[66, 71], Operations: ['96-75=21', '50+21=71']
Exploring Operation: 66+71=137, Resulting Numbers: [137]
137,52 unequal: No Solution
Exploring Operation: 71-66=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 66*71=4686, Resulting Numbers: [4686]
4686,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[50, 75, 30], Operations: ['96-66=30']
Exploring Operation: 75-50=25, Resulting Numbers: [30, 25]
Generated Node #0,0,0: 52:[30, 25] Operation: 75-50=25
Exploring Operation: 75-30=45, Resulting Numbers: [50, 45]
Generated Node #0,0,1: 52:[50, 45] Operation: 75-30=45
Exploring Operation: 50+30=80, Resulting Numbers: [75, 80]
Generated Node #0,0,2: 52:[75, 80] Operation: 50+30=80
Exploring Operation: 50-30=20, Resulting Numbers: [75, 20]
Generated Node #0,0,3: 52:[75, 20] Operation: 50-30=20
Moving to Node #0,0,0
Current State: 52:[30, 25], Operations: ['96-66=30', '75-50=25']
Exploring Operation: 30*25=750, Resulting Numbers: [750]
750,52 unequal: No Solution
Exploring Operation: 30-25=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 30+25=55, Resulting Numbers: [55]
55,52 unequal: No Solution
Moving to Node #0,0,1
Current State: 52:[50, 45], Operations: ['96-66=30', '75-30=45']
Exploring Operation: 50-45=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 50+45=95, Resulting Numbers: [95]
95,52 unequal: No Solution
Exploring Operation: 50*45=2250, Resulting Numbers: [2250]
2250,52 unequal: No Solution
Moving to Node #0,0,3
Current State: 52:[75, 20], Operations: ['96-66=30', '50-30=20']
Exploring Operation: 75*20=1500, Resulting Numbers: [1500]
1500,52 unequal: No Solution
Exploring Operation: 75-20=55, Resulting Numbers: [55]
55,52 unequal: No Solution
Exploring Operation: 75+20=95, Resulting Numbers: [95]
95,52 unequal: No Solution
Moving to Node #0,0,2
Current State: 52:[75, 80], Operations: ['96-66=30', '50+30=80']
Exploring Operation: 75+80=155, Resulting Numbers: [155]
155,52 unequal: No Solution
Exploring Operation: 75*80=6000, Resulting Numbers: [6000]
6000,52 unequal: No Solution
Exploring Operation: 80-75=5, Resulting Numbers: [5]
5,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 52:[75, 66, 46], Operations: ['96-50=46']
Exploring Operation: 66-46=20, Resulting Numbers: [75, 20]
Generated Node #0,2,0: 52:[75, 20] Operation: 66-46=20
Exploring Operation: 75+46=121, Resulting Numbers: [66, 121]
Generated Node #0,2,1: 52:[66, 121] Operation: 75+46=121
Exploring Operation: 75-46=29, Resulting Numbers: [66, 29]
Generated Node #0,2,2: 52:[66, 29] Operation: 75-46=29
Exploring Operation: 75-66=9, Resulting Numbers: [46, 9]
Generated Node #0,2,3: 52:[46, 9] Operation: 75-66=9
Moving to Node #0,2,3
Current State: 52:[46, 9], Operations: ['96-50=46', '75-66=9']
Exploring Operation: 46+9=55, Resulting Numbers: [55]
55,52 unequal: No Solution
Exploring Operation: 46*9=414, Resulting Numbers: [414]
414,52 unequal: No Solution
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,52 unequal: No Solution
Moving to Node #0,2,2
Current State: 52:[66, 29], Operations: ['96-50=46', '75-46=29']
Exploring Operation: 66+29=95, Resulting Numbers: [95]
95,52 unequal: No Solution
Exploring Operation: 66*29=1914, Resulting Numbers: [1914]
1914,52 unequal: No Solution
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,52 unequal: No Solution
Moving to Node #0,2,0
Current State: 52:[75, 20], Operations: ['96-50=46', '66-46=20']
Exploring Operation: 75*20=1500, Resulting Numbers: [1500]
1500,52 unequal: No Solution
Exploring Operation: 75-20=55, Resulting Numbers: [55]
55,52 unequal: No Solution
Exploring Operation: 75+20=95, Resulting Numbers: [95]
95,52 unequal: No Solution
Moving to Node #0,2,1
Current State: 52:[66, 121], Operations: ['96-50=46', '75+46=121']
Exploring Operation: 66*121=7986, Resulting Numbers: [7986]
7986,52 unequal: No Solution
Exploring Operation: 66+121=187, Resulting Numbers: [187]
187,52 unequal: No Solution
Exploring Operation: 121-66=55, Resulting Numbers: [55]
55,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[50, 96, 9], Operations: ['75-66=9']
Exploring Operation: 96-50=46, Resulting Numbers: [9, 46]
Generated Node #0,1,0: 52:[9, 46] Operation: 96-50=46
Exploring Operation: 96-9=87, Resulting Numbers: [50, 87]
Generated Node #0,1,1: 52:[50, 87] Operation: 96-9=87
Exploring Operation: 50+9=59, Resulting Numbers: [96, 59]
Generated Node #0,1,2: 52:[96, 59] Operation: 50+9=59
Exploring Operation: 50-9=41, Resulting Numbers: [96, 41]
Generated Node #0,1,3: 52:[96, 41] Operation: 50-9=41
Moving to Node #0,1,0
Current State: 52:[9, 46], Operations: ['75-66=9', '96-50=46']
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,52 unequal: No Solution
Exploring Operation: 9*46=414, Resulting Numbers: [414]
414,52 unequal: No Solution
Exploring Operation: 9+46=55, Resulting Numbers: [55]
55,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[50, 87], Operations: ['75-66=9', '96-9=87']
Exploring Operation: 87-50=37, Resulting Numbers: [37]
37,52 unequal: No Solution
Exploring Operation: 50+87=137, Resulting Numbers: [137]
137,52 unequal: No Solution
Exploring Operation: 50*87=4350, Resulting Numbers: [4350]
4350,52 unequal: No Solution
Moving to Node #0,1,2
Current State: 52:[96, 59], Operations: ['75-66=9', '50+9=59']
Exploring Operation: 96*59=5664, Resulting Numbers: [5664]
5664,52 unequal: No Solution
Exploring Operation: 96+59=155, Resulting Numbers: [155]
155,52 unequal: No Solution
Exploring Operation: 96-59=37, Resulting Numbers: [37]
37,52 unequal: No Solution
Moving to Node #0,1,3
Current State: 52:[96, 41], Operations: ['75-66=9', '50-9=41']
Exploring Operation: 96-41=55, Resulting Numbers: [55]
55,52 unequal: No Solution
Exploring Operation: 96*41=3936, Resulting Numbers: [3936]
3936,52 unequal: No Solution
Exploring Operation: 96+41=137, Resulting Numbers: [137]
137,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
65,
64,
50,
64
] | 65 |
[
"64-64=0",
"50*0=0",
"65+0=65"
] |
Current State: 65:[65, 64, 50, 64], Operations: []
Exploring Operation: 64-64=0, Resulting Numbers: [65, 50, 0]
Generated Node #2: [65, 50, 0] from Operation: 64-64=0
Current State: 65:[65, 50, 0], Operations: ['64-64=0']
Exploring Operation: 50*0=0, Resulting Numbers: [65, 0]
Generated Node #3: [65, 0] from Operation: 50*0=0
Current State: 65:[65, 0], Operations: ['64-64=0', '50*0=0']
Exploring Operation: 65+0=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
Current State: 65:[65, 64, 50, 64], Operations: []
Exploring Operation: 65-50=15, Resulting Numbers: [64, 64, 15]
Generated Node #0,0: 65:[64, 64, 15] Operation: 65-50=15
Exploring Operation: 64/64=1, Resulting Numbers: [65, 50, 1]
Generated Node #0,1: 65:[65, 50, 1] Operation: 64/64=1
Exploring Operation: 64-50=14, Resulting Numbers: [65, 64, 14]
Generated Node #0,2: 65:[65, 64, 14] Operation: 64-50=14
Exploring Operation: 64-50=14, Resulting Numbers: [65, 64, 14]
Generated Node #0,3: 65:[65, 64, 14] Operation: 64-50=14
Start Sub Search at level 1: Moving to Node #0,2
Current State: 65:[65, 64, 14], Operations: ['64-50=14']
Exploring Operation: 65+14=79, Resulting Numbers: [64, 79]
Generated Node #0,2,0: 65:[64, 79] Operation: 65+14=79
Exploring Operation: 65-64=1, Resulting Numbers: [14, 1]
Generated Node #0,2,1: 65:[14, 1] Operation: 65-64=1
Exploring Operation: 64+14=78, Resulting Numbers: [65, 78]
Generated Node #0,2,2: 65:[65, 78] Operation: 64+14=78
Exploring Operation: 65-14=51, Resulting Numbers: [64, 51]
Generated Node #0,2,3: 65:[64, 51] Operation: 65-14=51
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 65:[14, 1], Operations: ['64-50=14', '65-64=1']
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,65 unequal: No Solution
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 65:[65, 78], Operations: ['64-50=14', '64+14=78']
Exploring Operation: 65+78=143, Resulting Numbers: [143]
143,65 unequal: No Solution
Exploring Operation: 78-65=13, Resulting Numbers: [13]
13,65 unequal: No Solution
Exploring Operation: 65*78=5070, Resulting Numbers: [5070]
5070,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 65:[64, 79], Operations: ['64-50=14', '65+14=79']
Exploring Operation: 64+79=143, Resulting Numbers: [143]
143,65 unequal: No Solution
Exploring Operation: 79-64=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 64*79=5056, Resulting Numbers: [5056]
5056,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 65:[64, 51], Operations: ['64-50=14', '65-14=51']
Exploring Operation: 64-51=13, Resulting Numbers: [13]
13,65 unequal: No Solution
Exploring Operation: 64*51=3264, Resulting Numbers: [3264]
3264,65 unequal: No Solution
Exploring Operation: 64+51=115, Resulting Numbers: [115]
115,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 65:[65, 64, 14], Operations: ['64-50=14']
Exploring Operation: 65-14=51, Resulting Numbers: [64, 51]
Generated Node #0,3,0: 65:[64, 51] Operation: 65-14=51
Exploring Operation: 64+14=78, Resulting Numbers: [65, 78]
Generated Node #0,3,1: 65:[65, 78] Operation: 64+14=78
Exploring Operation: 65+14=79, Resulting Numbers: [64, 79]
Generated Node #0,3,2: 65:[64, 79] Operation: 65+14=79
Exploring Operation: 65-64=1, Resulting Numbers: [14, 1]
Generated Node #0,3,3: 65:[14, 1] Operation: 65-64=1
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 65:[14, 1], Operations: ['64-50=14', '65-64=1']
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 65:[65, 78], Operations: ['64-50=14', '64+14=78']
Exploring Operation: 65*78=5070, Resulting Numbers: [5070]
5070,65 unequal: No Solution
Exploring Operation: 65+78=143, Resulting Numbers: [143]
143,65 unequal: No Solution
Exploring Operation: 78-65=13, Resulting Numbers: [13]
13,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 65:[64, 51], Operations: ['64-50=14', '65-14=51']
Exploring Operation: 64-51=13, Resulting Numbers: [13]
13,65 unequal: No Solution
Exploring Operation: 64+51=115, Resulting Numbers: [115]
115,65 unequal: No Solution
Exploring Operation: 64*51=3264, Resulting Numbers: [3264]
3264,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 65:[64, 79], Operations: ['64-50=14', '65+14=79']
Exploring Operation: 79-64=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 64+79=143, Resulting Numbers: [143]
143,65 unequal: No Solution
Exploring Operation: 64*79=5056, Resulting Numbers: [5056]
5056,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[64, 64, 15], Operations: ['65-50=15']
Exploring Operation: 64-64=0, Resulting Numbers: [15, 0]
Generated Node #0,0,0: 65:[15, 0] Operation: 64-64=0
Exploring Operation: 64+15=79, Resulting Numbers: [64, 79]
Generated Node #0,0,1: 65:[64, 79] Operation: 64+15=79
Exploring Operation: 64+15=79, Resulting Numbers: [64, 79]
Generated Node #0,0,2: 65:[64, 79] Operation: 64+15=79
Exploring Operation: 64/64=1, Resulting Numbers: [15, 1]
Generated Node #0,0,3: 65:[15, 1] Operation: 64/64=1
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 65:[15, 1], Operations: ['65-50=15', '64/64=1']
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 15*1=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 15+1=16, Resulting Numbers: [16]
16,65 unequal: No Solution
Exploring Operation: 15/1=15, Resulting Numbers: [15]
15,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 65:[15, 0], Operations: ['65-50=15', '64-64=0']
Exploring Operation: 15-0=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 15*0=0, Resulting Numbers: [0]
0,65 unequal: No Solution
Exploring Operation: 15+0=15, Resulting Numbers: [15]
15,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 65:[64, 79], Operations: ['65-50=15', '64+15=79']
Exploring Operation: 64*79=5056, Resulting Numbers: [5056]
5056,65 unequal: No Solution
Exploring Operation: 79-64=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 64+79=143, Resulting Numbers: [143]
143,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 65:[64, 79], Operations: ['65-50=15', '64+15=79']
Exploring Operation: 64+79=143, Resulting Numbers: [143]
143,65 unequal: No Solution
Exploring Operation: 64*79=5056, Resulting Numbers: [5056]
5056,65 unequal: No Solution
Exploring Operation: 79-64=15, Resulting Numbers: [15]
15,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[65, 50, 1], Operations: ['64/64=1']
Exploring Operation: 65-50=15, Resulting Numbers: [1, 15]
Generated Node #0,1,0: 65:[1, 15] Operation: 65-50=15
Exploring Operation: 65/1=65, Resulting Numbers: [50, 65]
Generated Node #0,1,1: 65:[50, 65] Operation: 65/1=65
Exploring Operation: 50+1=51, Resulting Numbers: [65, 51]
Generated Node #0,1,2: 65:[65, 51] Operation: 50+1=51
Exploring Operation: 65*1=65, Resulting Numbers: [50, 65]
Generated Node #0,1,3: 65:[50, 65] Operation: 65*1=65
Moving to Node #0,1,0
Current State: 65:[1, 15], Operations: ['64/64=1', '65-50=15']
Exploring Operation: 1+15=16, Resulting Numbers: [16]
16,65 unequal: No Solution
Exploring Operation: 15/1=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 1*15=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Moving to Node #0,1,2
Current State: 65:[65, 51], Operations: ['64/64=1', '50+1=51']
Exploring Operation: 65+51=116, Resulting Numbers: [116]
116,65 unequal: No Solution
Exploring Operation: 65-51=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 65*51=3315, Resulting Numbers: [3315]
3315,65 unequal: No Solution
Moving to Node #0,1,3
Current State: 65:[50, 65], Operations: ['64/64=1', '65*1=65']
Exploring Operation: 50+65=115, Resulting Numbers: [115]
115,65 unequal: No Solution
Exploring Operation: 65-50=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 50*65=3250, Resulting Numbers: [3250]
3250,65 unequal: No Solution
Moving to Node #0,1,1
Current State: 65:[50, 65], Operations: ['64/64=1', '65/1=65']
Exploring Operation: 50+65=115, Resulting Numbers: [115]
115,65 unequal: No Solution
Exploring Operation: 65-50=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 50*65=3250, Resulting Numbers: [3250]
3250,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
99,
3,
11,
67
] | 18 |
[
"99-3=96",
"11+67=78",
"96-78=18"
] |
Current State: 18:[99, 3, 11, 67], Operations: []
Exploring Operation: 99-3=96, Resulting Numbers: [11, 67, 96]
Generated Node #2: [11, 67, 96] from Operation: 99-3=96
Current State: 18:[11, 67, 96], Operations: ['99-3=96']
Exploring Operation: 11+67=78, Resulting Numbers: [96, 78]
Generated Node #3: [96, 78] from Operation: 11+67=78
Current State: 18:[96, 78], Operations: ['99-3=96', '11+67=78']
Exploring Operation: 96-78=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
Current State: 18:[99, 3, 11, 67], Operations: []
Exploring Operation: 99/3=33, Resulting Numbers: [11, 67, 33]
Generated Node #0,0: 18:[11, 67, 33] Operation: 99/3=33
Exploring Operation: 99/11=9, Resulting Numbers: [3, 67, 9]
Generated Node #0,1: 18:[3, 67, 9] Operation: 99/11=9
Exploring Operation: 99-67=32, Resulting Numbers: [3, 11, 32]
Generated Node #0,2: 18:[3, 11, 32] Operation: 99-67=32
Exploring Operation: 99-11=88, Resulting Numbers: [3, 67, 88]
Generated Node #0,3: 18:[3, 67, 88] Operation: 99-11=88
Start Sub Search at level 1: Moving to Node #0,2
Current State: 18:[3, 11, 32], Operations: ['99-67=32']
Exploring Operation: 3+11=14, Resulting Numbers: [32, 14]
Generated Node #0,2,0: 18:[32, 14] Operation: 3+11=14
Exploring Operation: 32-11=21, Resulting Numbers: [3, 21]
Generated Node #0,2,1: 18:[3, 21] Operation: 32-11=21
Exploring Operation: 32-3=29, Resulting Numbers: [11, 29]
Generated Node #0,2,2: 18:[11, 29] Operation: 32-3=29
Exploring Operation: 11-3=8, Resulting Numbers: [32, 8]
Generated Node #0,2,3: 18:[32, 8] Operation: 11-3=8
Moving to Node #0,2,1
Current State: 18:[3, 21], Operations: ['99-67=32', '32-11=21']
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,18 unequal: No Solution
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,18 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[99, 3, 11, 67], Operations: []
Exploring Operation: 99-67=32, Resulting Numbers: [3, 11, 32]
Generated Node #0,2: 18:[3, 11, 32] Operation: 99-67=32
Moving to Node #0,2
Current State: 18:[3, 11, 32], Operations: ['99-67=32']
Exploring Operation: 32-11=21, Resulting Numbers: [3, 21]
Generated Node #0,2,1: 18:[3, 21] Operation: 32-11=21
Moving to Node #0,2,1
Current State: 18:[3, 21], Operations: ['99-67=32', '32-11=21']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 |
hs_4
|
sum_heuristic
|
[
99,
3,
29,
18
] | 22 |
[
"99/3=33",
"29-18=11",
"33-11=22"
] |
Current State: 22:[99, 3, 29, 18], Operations: []
Exploring Operation: 99/3=33, Resulting Numbers: [29, 18, 33]
Generated Node #2: [29, 18, 33] from Operation: 99/3=33
Current State: 22:[29, 18, 33], Operations: ['99/3=33']
Exploring Operation: 29-18=11, Resulting Numbers: [33, 11]
Generated Node #3: [33, 11] from Operation: 29-18=11
Current State: 22:[33, 11], Operations: ['99/3=33', '29-18=11']
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
Current State: 22:[99, 3, 29, 18], Operations: []
Exploring Operation: 99/3=33, Resulting Numbers: [29, 18, 33]
Generated Node #0,0: 22:[29, 18, 33] Operation: 99/3=33
Exploring Operation: 99-29=70, Resulting Numbers: [3, 18, 70]
Generated Node #0,1: 22:[3, 18, 70] Operation: 99-29=70
Exploring Operation: 99-18=81, Resulting Numbers: [3, 29, 81]
Generated Node #0,2: 22:[3, 29, 81] Operation: 99-18=81
Moving to Node #0,0
Current State: 22:[29, 18, 33], Operations: ['99/3=33']
Exploring Operation: 29-18=11, Resulting Numbers: [33, 11]
Generated Node #0,0,0: 22:[33, 11] Operation: 29-18=11
Exploring Operation: 33-18=15, Resulting Numbers: [29, 15]
Generated Node #0,0,1: 22:[29, 15] Operation: 33-18=15
Exploring Operation: 33-29=4, Resulting Numbers: [18, 4]
Generated Node #0,0,2: 22:[18, 4] Operation: 33-29=4
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 22:[18, 4], Operations: ['99/3=33', '33-29=4']
Exploring Operation: 18*4=72, Resulting Numbers: [72]
72,22 unequal: No Solution
Exploring Operation: 18+4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[99, 3, 29, 18], Operations: []
Exploring Operation: 99/3=33, Resulting Numbers: [29, 18, 33]
Generated Node #0,0: 22:[29, 18, 33] Operation: 99/3=33
Moving to Node #0,0
Current State: 22:[29, 18, 33], Operations: ['99/3=33']
Exploring Operation: 33-29=4, Resulting Numbers: [18, 4]
Generated Node #0,0,2: 22:[18, 4] Operation: 33-29=4
Moving to Node #0,0,2
Current State: 22:[18, 4], Operations: ['99/3=33', '33-29=4']
Exploring Operation: 18+4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 |
hs_3
|
sum_heuristic
|
[
18,
11,
16,
13
] | 69 |
[
"18-13=5",
"16*5=80",
"80-11=69"
] |
Current State: 69:[18, 11, 16, 13], Operations: []
Exploring Operation: 18-13=5, Resulting Numbers: [11, 16, 5]
Generated Node #2: [11, 16, 5] from Operation: 18-13=5
Current State: 69:[11, 16, 5], Operations: ['18-13=5']
Exploring Operation: 16*5=80, Resulting Numbers: [11, 80]
Generated Node #3: [11, 80] from Operation: 16*5=80
Current State: 69:[11, 80], Operations: ['18-13=5', '16*5=80']
Exploring Operation: 80-11=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
Current State: 69:[18, 11, 16, 13], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [18, 16, 2]
Generated Node #0,0: 69:[18, 16, 2] Operation: 13-11=2
Exploring Operation: 11+13=24, Resulting Numbers: [18, 16, 24]
Generated Node #0,1: 69:[18, 16, 24] Operation: 11+13=24
Moving to Node #0,0
Current State: 69:[18, 16, 2], Operations: ['13-11=2']
Exploring Operation: 18-16=2, Resulting Numbers: [2, 2]
Generated Node #0,0,0: 69:[2, 2] Operation: 18-16=2
Exploring Operation: 18+2=20, Resulting Numbers: [16, 20]
Generated Node #0,0,1: 69:[16, 20] Operation: 18+2=20
Moving to Node #0,1
Current State: 69:[18, 16, 24], Operations: ['11+13=24']
Exploring Operation: 18-16=2, Resulting Numbers: [24, 2]
Generated Node #0,1,0: 69:[24, 2] Operation: 18-16=2
Exploring Operation: 24-18=6, Resulting Numbers: [16, 6]
Generated Node #0,1,1: 69:[16, 6] Operation: 24-18=6
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 69:[24, 2], Operations: ['11+13=24', '18-16=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,69 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 69:[16, 6], Operations: ['11+13=24', '24-18=6']
Exploring Operation: 16+6=22, Resulting Numbers: [22]
22,69 unequal: No Solution
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 69:[2, 2], Operations: ['13-11=2', '18-16=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,69 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,69 unequal: No Solution
Moving to Node #0,0,1
Current State: 69:[16, 20], Operations: ['13-11=2', '18+2=20']
Exploring Operation: 16+20=36, Resulting Numbers: [36]
36,69 unequal: No Solution
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,69 unequal: No Solution
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
68,
30,
63,
84
] | 59 |
[
"68-30=38",
"84-63=21",
"38+21=59"
] |
Current State: 59:[68, 30, 63, 84], Operations: []
Exploring Operation: 68-30=38, Resulting Numbers: [63, 84, 38]
Generated Node #2: [63, 84, 38] from Operation: 68-30=38
Current State: 59:[63, 84, 38], Operations: ['68-30=38']
Exploring Operation: 84-63=21, Resulting Numbers: [38, 21]
Generated Node #3: [38, 21] from Operation: 84-63=21
Current State: 59:[38, 21], Operations: ['68-30=38', '84-63=21']
Exploring Operation: 38+21=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
Current State: 59:[68, 30, 63, 84], Operations: []
Exploring Operation: 68-30=38, Resulting Numbers: [63, 84, 38]
Generated Node #0,0: 59:[63, 84, 38] Operation: 68-30=38
Exploring Operation: 63-30=33, Resulting Numbers: [68, 84, 33]
Generated Node #0,1: 59:[68, 84, 33] Operation: 63-30=33
Exploring Operation: 84-30=54, Resulting Numbers: [68, 63, 54]
Generated Node #0,2: 59:[68, 63, 54] Operation: 84-30=54
Moving to Node #0,2
Current State: 59:[68, 63, 54], Operations: ['84-30=54']
Exploring Operation: 63-54=9, Resulting Numbers: [68, 9]
Generated Node #0,2,0: 59:[68, 9] Operation: 63-54=9
Exploring Operation: 68-54=14, Resulting Numbers: [63, 14]
Generated Node #0,2,1: 59:[63, 14] Operation: 68-54=14
Exploring Operation: 68-63=5, Resulting Numbers: [54, 5]
Generated Node #0,2,2: 59:[54, 5] Operation: 68-63=5
Moving to Node #0,0
Current State: 59:[63, 84, 38], Operations: ['68-30=38']
Exploring Operation: 63-38=25, Resulting Numbers: [84, 25]
Generated Node #0,0,0: 59:[84, 25] Operation: 63-38=25
Exploring Operation: 84-63=21, Resulting Numbers: [38, 21]
Generated Node #0,0,1: 59:[38, 21] Operation: 84-63=21
Exploring Operation: 84-38=46, Resulting Numbers: [63, 46]
Generated Node #0,0,2: 59:[63, 46] Operation: 84-38=46
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 59:[63, 46], Operations: ['68-30=38', '84-38=46']
Exploring Operation: 63+46=109, Resulting Numbers: [109]
109,59 unequal: No Solution
Exploring Operation: 63*46=2898, Resulting Numbers: [2898]
2898,59 unequal: No Solution
Exploring Operation: 63-46=17, Resulting Numbers: [17]
17,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[84, 25], Operations: ['68-30=38', '63-38=25']
Exploring Operation: 84-25=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[68, 30, 63, 84], Operations: []
Exploring Operation: 68-30=38, Resulting Numbers: [63, 84, 38]
Generated Node #0,0: 59:[63, 84, 38] Operation: 68-30=38
Moving to Node #0,0
Current State: 59:[63, 84, 38], Operations: ['68-30=38']
Exploring Operation: 63-38=25, Resulting Numbers: [84, 25]
Generated Node #0,0,0: 59:[84, 25] Operation: 63-38=25
Moving to Node #0,0,0
Current State: 59:[84, 25], Operations: ['68-30=38', '63-38=25']
Exploring Operation: 84-25=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 |
hs_3
|
mult_heuristic
|
[
70,
1,
30,
2
] | 19 |
[
"70-30=40",
"40/2=20",
"20-1=19"
] |
Current State: 19:[70, 1, 30, 2], Operations: []
Exploring Operation: 70-30=40, Resulting Numbers: [1, 2, 40]
Generated Node #2: [1, 2, 40] from Operation: 70-30=40
Current State: 19:[1, 2, 40], Operations: ['70-30=40']
Exploring Operation: 40/2=20, Resulting Numbers: [1, 20]
Generated Node #3: [1, 20] from Operation: 40/2=20
Current State: 19:[1, 20], Operations: ['70-30=40', '40/2=20']
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
Current State: 19:[70, 1, 30, 2], Operations: []
Exploring Operation: 70/2=35, Resulting Numbers: [1, 30, 35]
Generated Node #0,0: 19:[1, 30, 35] Operation: 70/2=35
Exploring Operation: 70-30=40, Resulting Numbers: [1, 2, 40]
Generated Node #0,1: 19:[1, 2, 40] Operation: 70-30=40
Moving to Node #0,0
Current State: 19:[1, 30, 35], Operations: ['70/2=35']
Exploring Operation: 35-1=34, Resulting Numbers: [30, 34]
Generated Node #0,0,0: 19:[30, 34] Operation: 35-1=34
Exploring Operation: 30-1=29, Resulting Numbers: [35, 29]
Generated Node #0,0,1: 19:[35, 29] Operation: 30-1=29
Moving to Node #0,1
Current State: 19:[1, 2, 40], Operations: ['70-30=40']
Exploring Operation: 40/2=20, Resulting Numbers: [1, 20]
Generated Node #0,1,0: 19:[1, 20] Operation: 40/2=20
Exploring Operation: 1+2=3, Resulting Numbers: [40, 3]
Generated Node #0,1,1: 19:[40, 3] Operation: 1+2=3
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 19:[1, 20], Operations: ['70-30=40', '40/2=20']
Exploring Operation: 1*20=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[70, 1, 30, 2], Operations: []
Exploring Operation: 70-30=40, Resulting Numbers: [1, 2, 40]
Generated Node #0,1: 19:[1, 2, 40] Operation: 70-30=40
Moving to Node #0,1
Current State: 19:[1, 2, 40], Operations: ['70-30=40']
Exploring Operation: 40/2=20, Resulting Numbers: [1, 20]
Generated Node #0,1,0: 19:[1, 20] Operation: 40/2=20
Moving to Node #0,1,0
Current State: 19:[1, 20], Operations: ['70-30=40', '40/2=20']
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 |
hs_2
|
mult_heuristic
|
[
69,
27,
4,
8
] | 26 |
[
"69+27=96",
"8+96=104",
"104/4=26"
] |
Current State: 26:[69, 27, 4, 8], Operations: []
Exploring Operation: 69+27=96, Resulting Numbers: [4, 8, 96]
Generated Node #2: [4, 8, 96] from Operation: 69+27=96
Current State: 26:[4, 8, 96], Operations: ['69+27=96']
Exploring Operation: 8+96=104, Resulting Numbers: [4, 104]
Generated Node #3: [4, 104] from Operation: 8+96=104
Current State: 26:[4, 104], Operations: ['69+27=96', '8+96=104']
Exploring Operation: 104/4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
Current State: 26:[69, 27, 4, 8], Operations: []
Exploring Operation: 4+8=12, Resulting Numbers: [69, 27, 12]
Generated Node #0,0: 26:[69, 27, 12] Operation: 4+8=12
Exploring Operation: 69-4=65, Resulting Numbers: [27, 8, 65]
Generated Node #0,1: 26:[27, 8, 65] Operation: 69-4=65
Exploring Operation: 8/4=2, Resulting Numbers: [69, 27, 2]
Generated Node #0,2: 26:[69, 27, 2] Operation: 8/4=2
Exploring Operation: 69-27=42, Resulting Numbers: [4, 8, 42]
Generated Node #0,3: 26:[4, 8, 42] Operation: 69-27=42
Exploring Operation: 69-8=61, Resulting Numbers: [27, 4, 61]
Generated Node #0,4: 26:[27, 4, 61] Operation: 69-8=61
Start Sub Search at level 1: Moving to Node #0,3
Current State: 26:[4, 8, 42], Operations: ['69-27=42']
Exploring Operation: 8-4=4, Resulting Numbers: [42, 4]
Generated Node #0,3,0: 26:[42, 4] Operation: 8-4=4
Exploring Operation: 4+8=12, Resulting Numbers: [42, 12]
Generated Node #0,3,1: 26:[42, 12] Operation: 4+8=12
Exploring Operation: 42-4=38, Resulting Numbers: [8, 38]
Generated Node #0,3,2: 26:[8, 38] Operation: 42-4=38
Exploring Operation: 42-8=34, Resulting Numbers: [4, 34]
Generated Node #0,3,3: 26:[4, 34] Operation: 42-8=34
Exploring Operation: 8/4=2, Resulting Numbers: [42, 2]
Generated Node #0,3,4: 26:[42, 2] Operation: 8/4=2
Moving to Node #0,3,3
Current State: 26:[4, 34], Operations: ['69-27=42', '42-8=34']
Exploring Operation: 4*34=136, Resulting Numbers: [136]
136,26 unequal: No Solution
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 4+34=38, Resulting Numbers: [38]
38,26 unequal: No Solution
Moving to Node #0,3,4
Current State: 26:[42, 2], Operations: ['69-27=42', '8/4=2']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,26 unequal: No Solution
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,26 unequal: No Solution
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,26 unequal: No Solution
Exploring Operation: 42+2=44, Resulting Numbers: [44]
44,26 unequal: No Solution
Moving to Node #0,3,1
Current State: 26:[42, 12], Operations: ['69-27=42', '4+8=12']
Exploring Operation: 42+12=54, Resulting Numbers: [54]
54,26 unequal: No Solution
Exploring Operation: 42*12=504, Resulting Numbers: [504]
504,26 unequal: No Solution
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Moving to Node #0,3,2
Current State: 26:[8, 38], Operations: ['69-27=42', '42-4=38']
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 8+38=46, Resulting Numbers: [46]
46,26 unequal: No Solution
Exploring Operation: 8*38=304, Resulting Numbers: [304]
304,26 unequal: No Solution
Moving to Node #0,3,0
Current State: 26:[42, 4], Operations: ['69-27=42', '8-4=4']
Exploring Operation: 42+4=46, Resulting Numbers: [46]
46,26 unequal: No Solution
Exploring Operation: 42-4=38, Resulting Numbers: [38]
38,26 unequal: No Solution
Exploring Operation: 42*4=168, Resulting Numbers: [168]
168,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 26:[27, 4, 61], Operations: ['69-8=61']
Exploring Operation: 27-4=23, Resulting Numbers: [61, 23]
Generated Node #0,4,0: 26:[61, 23] Operation: 27-4=23
Exploring Operation: 61-27=34, Resulting Numbers: [4, 34]
Generated Node #0,4,1: 26:[4, 34] Operation: 61-27=34
Exploring Operation: 27+4=31, Resulting Numbers: [61, 31]
Generated Node #0,4,2: 26:[61, 31] Operation: 27+4=31
Exploring Operation: 4+61=65, Resulting Numbers: [27, 65]
Generated Node #0,4,3: 26:[27, 65] Operation: 4+61=65
Exploring Operation: 61-4=57, Resulting Numbers: [27, 57]
Generated Node #0,4,4: 26:[27, 57] Operation: 61-4=57
Moving to Node #0,4,1
Current State: 26:[4, 34], Operations: ['69-8=61', '61-27=34']
Exploring Operation: 4+34=38, Resulting Numbers: [38]
38,26 unequal: No Solution
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 4*34=136, Resulting Numbers: [136]
136,26 unequal: No Solution
Moving to Node #0,4,4
Current State: 26:[27, 57], Operations: ['69-8=61', '61-4=57']
Exploring Operation: 57-27=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 27+57=84, Resulting Numbers: [84]
84,26 unequal: No Solution
Exploring Operation: 27*57=1539, Resulting Numbers: [1539]
1539,26 unequal: No Solution
Moving to Node #0,4,0
Current State: 26:[61, 23], Operations: ['69-8=61', '27-4=23']
Exploring Operation: 61+23=84, Resulting Numbers: [84]
84,26 unequal: No Solution
Exploring Operation: 61-23=38, Resulting Numbers: [38]
38,26 unequal: No Solution
Exploring Operation: 61*23=1403, Resulting Numbers: [1403]
1403,26 unequal: No Solution
Moving to Node #0,4,2
Current State: 26:[61, 31], Operations: ['69-8=61', '27+4=31']
Exploring Operation: 61+31=92, Resulting Numbers: [92]
92,26 unequal: No Solution
Exploring Operation: 61*31=1891, Resulting Numbers: [1891]
1891,26 unequal: No Solution
Exploring Operation: 61-31=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Moving to Node #0,4,3
Current State: 26:[27, 65], Operations: ['69-8=61', '4+61=65']
Exploring Operation: 65-27=38, Resulting Numbers: [38]
38,26 unequal: No Solution
Exploring Operation: 27+65=92, Resulting Numbers: [92]
92,26 unequal: No Solution
Exploring Operation: 27*65=1755, Resulting Numbers: [1755]
1755,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 26:[69, 27, 2], Operations: ['8/4=2']
Exploring Operation: 69+2=71, Resulting Numbers: [27, 71]
Generated Node #0,2,0: 26:[27, 71] Operation: 69+2=71
Exploring Operation: 27-2=25, Resulting Numbers: [69, 25]
Generated Node #0,2,1: 26:[69, 25] Operation: 27-2=25
Exploring Operation: 27+2=29, Resulting Numbers: [69, 29]
Generated Node #0,2,2: 26:[69, 29] Operation: 27+2=29
Exploring Operation: 69-2=67, Resulting Numbers: [27, 67]
Generated Node #0,2,3: 26:[27, 67] Operation: 69-2=67
Exploring Operation: 69-27=42, Resulting Numbers: [2, 42]
Generated Node #0,2,4: 26:[2, 42] Operation: 69-27=42
Moving to Node #0,2,4
Current State: 26:[2, 42], Operations: ['8/4=2', '69-27=42']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,26 unequal: No Solution
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,26 unequal: No Solution
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,26 unequal: No Solution
Exploring Operation: 2+42=44, Resulting Numbers: [44]
44,26 unequal: No Solution
Moving to Node #0,2,3
Current State: 26:[27, 67], Operations: ['8/4=2', '69-2=67']
Exploring Operation: 27+67=94, Resulting Numbers: [94]
94,26 unequal: No Solution
Exploring Operation: 27*67=1809, Resulting Numbers: [1809]
1809,26 unequal: No Solution
Exploring Operation: 67-27=40, Resulting Numbers: [40]
40,26 unequal: No Solution
Moving to Node #0,2,1
Current State: 26:[69, 25], Operations: ['8/4=2', '27-2=25']
Exploring Operation: 69*25=1725, Resulting Numbers: [1725]
1725,26 unequal: No Solution
Exploring Operation: 69-25=44, Resulting Numbers: [44]
44,26 unequal: No Solution
Exploring Operation: 69+25=94, Resulting Numbers: [94]
94,26 unequal: No Solution
Moving to Node #0,2,0
Current State: 26:[27, 71], Operations: ['8/4=2', '69+2=71']
Exploring Operation: 27+71=98, Resulting Numbers: [98]
98,26 unequal: No Solution
Exploring Operation: 27*71=1917, Resulting Numbers: [1917]
1917,26 unequal: No Solution
Exploring Operation: 71-27=44, Resulting Numbers: [44]
44,26 unequal: No Solution
Moving to Node #0,2,2
Current State: 26:[69, 29], Operations: ['8/4=2', '27+2=29']
Exploring Operation: 69+29=98, Resulting Numbers: [98]
98,26 unequal: No Solution
Exploring Operation: 69*29=2001, Resulting Numbers: [2001]
2001,26 unequal: No Solution
Exploring Operation: 69-29=40, Resulting Numbers: [40]
40,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[69, 27, 12], Operations: ['4+8=12']
Exploring Operation: 27-12=15, Resulting Numbers: [69, 15]
Generated Node #0,0,0: 26:[69, 15] Operation: 27-12=15
Exploring Operation: 69-12=57, Resulting Numbers: [27, 57]
Generated Node #0,0,1: 26:[27, 57] Operation: 69-12=57
Exploring Operation: 69-27=42, Resulting Numbers: [12, 42]
Generated Node #0,0,2: 26:[12, 42] Operation: 69-27=42
Exploring Operation: 27+12=39, Resulting Numbers: [69, 39]
Generated Node #0,0,3: 26:[69, 39] Operation: 27+12=39
Exploring Operation: 69+12=81, Resulting Numbers: [27, 81]
Generated Node #0,0,4: 26:[27, 81] Operation: 69+12=81
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 26:[12, 42], Operations: ['4+8=12', '69-27=42']
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 12*42=504, Resulting Numbers: [504]
504,26 unequal: No Solution
Exploring Operation: 12+42=54, Resulting Numbers: [54]
54,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 26:[27, 57], Operations: ['4+8=12', '69-12=57']
Exploring Operation: 27+57=84, Resulting Numbers: [84]
84,26 unequal: No Solution
Exploring Operation: 27*57=1539, Resulting Numbers: [1539]
1539,26 unequal: No Solution
Exploring Operation: 57-27=30, Resulting Numbers: [30]
30,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 26:[69, 15], Operations: ['4+8=12', '27-12=15']
Exploring Operation: 69+15=84, Resulting Numbers: [84]
84,26 unequal: No Solution
Exploring Operation: 69-15=54, Resulting Numbers: [54]
54,26 unequal: No Solution
Exploring Operation: 69*15=1035, Resulting Numbers: [1035]
1035,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 26:[69, 39], Operations: ['4+8=12', '27+12=39']
Exploring Operation: 69+39=108, Resulting Numbers: [108]
108,26 unequal: No Solution
Exploring Operation: 69-39=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 69*39=2691, Resulting Numbers: [2691]
2691,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 26:[27, 81], Operations: ['4+8=12', '69+12=81']
Exploring Operation: 27*81=2187, Resulting Numbers: [2187]
2187,26 unequal: No Solution
Exploring Operation: 81/27=3, Resulting Numbers: [3]
3,26 unequal: No Solution
Exploring Operation: 81-27=54, Resulting Numbers: [54]
54,26 unequal: No Solution
Exploring Operation: 27+81=108, Resulting Numbers: [108]
108,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[27, 8, 65], Operations: ['69-4=65']
Exploring Operation: 27-8=19, Resulting Numbers: [65, 19]
Generated Node #0,1,0: 26:[65, 19] Operation: 27-8=19
Exploring Operation: 65-27=38, Resulting Numbers: [8, 38]
Generated Node #0,1,1: 26:[8, 38] Operation: 65-27=38
Exploring Operation: 27+8=35, Resulting Numbers: [65, 35]
Generated Node #0,1,2: 26:[65, 35] Operation: 27+8=35
Exploring Operation: 65-8=57, Resulting Numbers: [27, 57]
Generated Node #0,1,3: 26:[27, 57] Operation: 65-8=57
Exploring Operation: 8+65=73, Resulting Numbers: [27, 73]
Generated Node #0,1,4: 26:[27, 73] Operation: 8+65=73
Moving to Node #0,1,1
Current State: 26:[8, 38], Operations: ['69-4=65', '65-27=38']
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 8+38=46, Resulting Numbers: [46]
46,26 unequal: No Solution
Exploring Operation: 8*38=304, Resulting Numbers: [304]
304,26 unequal: No Solution
Moving to Node #0,1,3
Current State: 26:[27, 57], Operations: ['69-4=65', '65-8=57']
Exploring Operation: 27+57=84, Resulting Numbers: [84]
84,26 unequal: No Solution
Exploring Operation: 27*57=1539, Resulting Numbers: [1539]
1539,26 unequal: No Solution
Exploring Operation: 57-27=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Moving to Node #0,1,0
Current State: 26:[65, 19], Operations: ['69-4=65', '27-8=19']
Exploring Operation: 65-19=46, Resulting Numbers: [46]
46,26 unequal: No Solution
Exploring Operation: 65+19=84, Resulting Numbers: [84]
84,26 unequal: No Solution
Exploring Operation: 65*19=1235, Resulting Numbers: [1235]
1235,26 unequal: No Solution
Moving to Node #0,1,2
Current State: 26:[65, 35], Operations: ['69-4=65', '27+8=35']
Exploring Operation: 65+35=100, Resulting Numbers: [100]
100,26 unequal: No Solution
Exploring Operation: 65-35=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 65*35=2275, Resulting Numbers: [2275]
2275,26 unequal: No Solution
Moving to Node #0,1,4
Current State: 26:[27, 73], Operations: ['69-4=65', '8+65=73']
Exploring Operation: 73-27=46, Resulting Numbers: [46]
46,26 unequal: No Solution
Exploring Operation: 27*73=1971, Resulting Numbers: [1971]
1971,26 unequal: No Solution
Exploring Operation: 27+73=100, Resulting Numbers: [100]
100,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
42,
26,
74,
3
] | 38 |
[
"42+74=116",
"26*3=78",
"116-78=38"
] |
Current State: 38:[42, 26, 74, 3], Operations: []
Exploring Operation: 42+74=116, Resulting Numbers: [26, 3, 116]
Generated Node #2: [26, 3, 116] from Operation: 42+74=116
Current State: 38:[26, 3, 116], Operations: ['42+74=116']
Exploring Operation: 26*3=78, Resulting Numbers: [116, 78]
Generated Node #3: [116, 78] from Operation: 26*3=78
Current State: 38:[116, 78], Operations: ['42+74=116', '26*3=78']
Exploring Operation: 116-78=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
Current State: 38:[42, 26, 74, 3], Operations: []
Exploring Operation: 74-26=48, Resulting Numbers: [42, 3, 48]
Generated Node #0,0: 38:[42, 3, 48] Operation: 74-26=48
Exploring Operation: 74-42=32, Resulting Numbers: [26, 3, 32]
Generated Node #0,1: 38:[26, 3, 32] Operation: 74-42=32
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[26, 3, 32], Operations: ['74-42=32']
Exploring Operation: 26-3=23, Resulting Numbers: [32, 23]
Generated Node #0,1,0: 38:[32, 23] Operation: 26-3=23
Exploring Operation: 32-26=6, Resulting Numbers: [3, 6]
Generated Node #0,1,1: 38:[3, 6] Operation: 32-26=6
Moving to Node #0,1,1
Current State: 38:[3, 6], Operations: ['74-42=32', '32-26=6']
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,38 unequal: No Solution
Moving to Node #0,1,0
Current State: 38:[32, 23], Operations: ['74-42=32', '26-3=23']
Exploring Operation: 32+23=55, Resulting Numbers: [55]
55,38 unequal: No Solution
Exploring Operation: 32-23=9, Resulting Numbers: [9]
9,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[42, 3, 48], Operations: ['74-26=48']
Exploring Operation: 48-42=6, Resulting Numbers: [3, 6]
Generated Node #0,0,0: 38:[3, 6] Operation: 48-42=6
Exploring Operation: 48/3=16, Resulting Numbers: [42, 16]
Generated Node #0,0,1: 38:[42, 16] Operation: 48/3=16
Moving to Node #0,0,0
Current State: 38:[3, 6], Operations: ['74-26=48', '48-42=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,38 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Moving to Node #0,0,1
Current State: 38:[42, 16], Operations: ['74-26=48', '48/3=16']
Exploring Operation: 42-16=26, Resulting Numbers: [26]
26,38 unequal: No Solution
Exploring Operation: 42+16=58, Resulting Numbers: [58]
58,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
38,
37,
57,
6
] | 41 |
[
"38*6=228",
"228/57=4",
"37+4=41"
] |
Current State: 41:[38, 37, 57, 6], Operations: []
Exploring Operation: 38*6=228, Resulting Numbers: [37, 57, 228]
Generated Node #2: [37, 57, 228] from Operation: 38*6=228
Current State: 41:[37, 57, 228], Operations: ['38*6=228']
Exploring Operation: 228/57=4, Resulting Numbers: [37, 4]
Generated Node #3: [37, 4] from Operation: 228/57=4
Current State: 41:[37, 4], Operations: ['38*6=228', '228/57=4']
Exploring Operation: 37+4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
Current State: 41:[38, 37, 57, 6], Operations: []
Exploring Operation: 37+6=43, Resulting Numbers: [38, 57, 43]
Generated Node #0,0: 41:[38, 57, 43] Operation: 37+6=43
Exploring Operation: 57-6=51, Resulting Numbers: [38, 37, 51]
Generated Node #0,1: 41:[38, 37, 51] Operation: 57-6=51
Exploring Operation: 38+6=44, Resulting Numbers: [37, 57, 44]
Generated Node #0,2: 41:[37, 57, 44] Operation: 38+6=44
Start Sub Search at level 1: Moving to Node #0,1
Current State: 41:[38, 37, 51], Operations: ['57-6=51']
Exploring Operation: 38+37=75, Resulting Numbers: [51, 75]
Generated Node #0,1,0: 41:[51, 75] Operation: 38+37=75
Exploring Operation: 51-38=13, Resulting Numbers: [37, 13]
Generated Node #0,1,1: 41:[37, 13] Operation: 51-38=13
Exploring Operation: 51-37=14, Resulting Numbers: [38, 14]
Generated Node #0,1,2: 41:[38, 14] Operation: 51-37=14
Moving to Node #0,1,2
Current State: 41:[38, 14], Operations: ['57-6=51', '51-37=14']
Exploring Operation: 38+14=52, Resulting Numbers: [52]
52,41 unequal: No Solution
Exploring Operation: 38*14=532, Resulting Numbers: [532]
532,41 unequal: No Solution
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,41 unequal: No Solution
Moving to Node #0,1,1
Current State: 41:[37, 13], Operations: ['57-6=51', '51-38=13']
Exploring Operation: 37+13=50, Resulting Numbers: [50]
50,41 unequal: No Solution
Exploring Operation: 37-13=24, Resulting Numbers: [24]
24,41 unequal: No Solution
Exploring Operation: 37*13=481, Resulting Numbers: [481]
481,41 unequal: No Solution
Moving to Node #0,1,0
Current State: 41:[51, 75], Operations: ['57-6=51', '38+37=75']
Exploring Operation: 51+75=126, Resulting Numbers: [126]
126,41 unequal: No Solution
Exploring Operation: 75-51=24, Resulting Numbers: [24]
24,41 unequal: No Solution
Exploring Operation: 51*75=3825, Resulting Numbers: [3825]
3825,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[38, 57, 43], Operations: ['37+6=43']
Exploring Operation: 57-38=19, Resulting Numbers: [43, 19]
Generated Node #0,0,0: 41:[43, 19] Operation: 57-38=19
Exploring Operation: 43-38=5, Resulting Numbers: [57, 5]
Generated Node #0,0,1: 41:[57, 5] Operation: 43-38=5
Exploring Operation: 57-43=14, Resulting Numbers: [38, 14]
Generated Node #0,0,2: 41:[38, 14] Operation: 57-43=14
Moving to Node #0,0,0
Current State: 41:[43, 19], Operations: ['37+6=43', '57-38=19']
Exploring Operation: 43*19=817, Resulting Numbers: [817]
817,41 unequal: No Solution
Exploring Operation: 43-19=24, Resulting Numbers: [24]
24,41 unequal: No Solution
Exploring Operation: 43+19=62, Resulting Numbers: [62]
62,41 unequal: No Solution
Moving to Node #0,0,2
Current State: 41:[38, 14], Operations: ['37+6=43', '57-43=14']
Exploring Operation: 38*14=532, Resulting Numbers: [532]
532,41 unequal: No Solution
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,41 unequal: No Solution
Exploring Operation: 38+14=52, Resulting Numbers: [52]
52,41 unequal: No Solution
Moving to Node #0,0,1
Current State: 41:[57, 5], Operations: ['37+6=43', '43-38=5']
Exploring Operation: 57-5=52, Resulting Numbers: [52]
52,41 unequal: No Solution
Exploring Operation: 57+5=62, Resulting Numbers: [62]
62,41 unequal: No Solution
Exploring Operation: 57*5=285, Resulting Numbers: [285]
285,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 41:[37, 57, 44], Operations: ['38+6=44']
Exploring Operation: 44-37=7, Resulting Numbers: [57, 7]
Generated Node #0,2,0: 41:[57, 7] Operation: 44-37=7
Exploring Operation: 57-37=20, Resulting Numbers: [44, 20]
Generated Node #0,2,1: 41:[44, 20] Operation: 57-37=20
Exploring Operation: 57-44=13, Resulting Numbers: [37, 13]
Generated Node #0,2,2: 41:[37, 13] Operation: 57-44=13
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 41:[44, 20], Operations: ['38+6=44', '57-37=20']
Exploring Operation: 44*20=880, Resulting Numbers: [880]
880,41 unequal: No Solution
Exploring Operation: 44+20=64, Resulting Numbers: [64]
64,41 unequal: No Solution
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 41:[37, 13], Operations: ['38+6=44', '57-44=13']
Exploring Operation: 37+13=50, Resulting Numbers: [50]
50,41 unequal: No Solution
Exploring Operation: 37-13=24, Resulting Numbers: [24]
24,41 unequal: No Solution
Exploring Operation: 37*13=481, Resulting Numbers: [481]
481,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 41:[57, 7], Operations: ['38+6=44', '44-37=7']
Exploring Operation: 57*7=399, Resulting Numbers: [399]
399,41 unequal: No Solution
Exploring Operation: 57-7=50, Resulting Numbers: [50]
50,41 unequal: No Solution
Exploring Operation: 57+7=64, Resulting Numbers: [64]
64,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
91,
8,
62,
61
] | 100 |
[
"91+8=99",
"62-61=1",
"99+1=100"
] |
Current State: 100:[91, 8, 62, 61], Operations: []
Exploring Operation: 91+8=99, Resulting Numbers: [62, 61, 99]
Generated Node #2: [62, 61, 99] from Operation: 91+8=99
Current State: 100:[62, 61, 99], Operations: ['91+8=99']
Exploring Operation: 62-61=1, Resulting Numbers: [99, 1]
Generated Node #3: [99, 1] from Operation: 62-61=1
Current State: 100:[99, 1], Operations: ['91+8=99', '62-61=1']
Exploring Operation: 99+1=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
Current State: 100:[91, 8, 62, 61], Operations: []
Exploring Operation: 62-8=54, Resulting Numbers: [91, 61, 54]
Generated Node #0,0: 100:[91, 61, 54] Operation: 62-8=54
Exploring Operation: 91-62=29, Resulting Numbers: [8, 61, 29]
Generated Node #0,1: 100:[8, 61, 29] Operation: 91-62=29
Exploring Operation: 62-61=1, Resulting Numbers: [91, 8, 1]
Generated Node #0,2: 100:[91, 8, 1] Operation: 62-61=1
Exploring Operation: 91+8=99, Resulting Numbers: [62, 61, 99]
Generated Node #0,3: 100:[62, 61, 99] Operation: 91+8=99
Exploring Operation: 91-61=30, Resulting Numbers: [8, 62, 30]
Generated Node #0,4: 100:[8, 62, 30] Operation: 91-61=30
Start Sub Search at level 1: Moving to Node #0,2
Current State: 100:[91, 8, 1], Operations: ['62-61=1']
Exploring Operation: 91+1=92, Resulting Numbers: [8, 92]
Generated Node #0,2,0: 100:[8, 92] Operation: 91+1=92
Exploring Operation: 91+8=99, Resulting Numbers: [1, 99]
Generated Node #0,2,1: 100:[1, 99] Operation: 91+8=99
Exploring Operation: 8+1=9, Resulting Numbers: [91, 9]
Generated Node #0,2,2: 100:[91, 9] Operation: 8+1=9
Exploring Operation: 91*1=91, Resulting Numbers: [8, 91]
Generated Node #0,2,3: 100:[8, 91] Operation: 91*1=91
Exploring Operation: 91/1=91, Resulting Numbers: [8, 91]
Generated Node #0,2,4: 100:[8, 91] Operation: 91/1=91
Moving to Node #0,2,1
Current State: 100:[1, 99], Operations: ['62-61=1', '91+8=99']
Exploring Operation: 1+99=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[91, 8, 62, 61], Operations: []
Exploring Operation: 62-61=1, Resulting Numbers: [91, 8, 1]
Generated Node #0,2: 100:[91, 8, 1] Operation: 62-61=1
Moving to Node #0,2
Current State: 100:[91, 8, 1], Operations: ['62-61=1']
Exploring Operation: 91+8=99, Resulting Numbers: [1, 99]
Generated Node #0,2,1: 100:[1, 99] Operation: 91+8=99
Moving to Node #0,2,1
Current State: 100:[1, 99], Operations: ['62-61=1', '91+8=99']
Exploring Operation: 1+99=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 |
hs_5
|
sum_heuristic
|
[
31,
39,
1,
13
] | 34 |
[
"31*1=31",
"39/13=3",
"31+3=34"
] |
Current State: 34:[31, 39, 1, 13], Operations: []
Exploring Operation: 31*1=31, Resulting Numbers: [39, 13, 31]
Generated Node #2: [39, 13, 31] from Operation: 31*1=31
Current State: 34:[39, 13, 31], Operations: ['31*1=31']
Exploring Operation: 39/13=3, Resulting Numbers: [31, 3]
Generated Node #3: [31, 3] from Operation: 39/13=3
Current State: 34:[31, 3], Operations: ['31*1=31', '39/13=3']
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
Current State: 34:[31, 39, 1, 13], Operations: []
Exploring Operation: 39/13=3, Resulting Numbers: [31, 1, 3]
Generated Node #0,0: 34:[31, 1, 3] Operation: 39/13=3
Exploring Operation: 31+1=32, Resulting Numbers: [39, 13, 32]
Generated Node #0,1: 34:[39, 13, 32] Operation: 31+1=32
Exploring Operation: 39-31=8, Resulting Numbers: [1, 13, 8]
Generated Node #0,2: 34:[1, 13, 8] Operation: 39-31=8
Exploring Operation: 31-13=18, Resulting Numbers: [39, 1, 18]
Generated Node #0,3: 34:[39, 1, 18] Operation: 31-13=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[31, 1, 3], Operations: ['39/13=3']
Exploring Operation: 31+1=32, Resulting Numbers: [3, 32]
Generated Node #0,0,0: 34:[3, 32] Operation: 31+1=32
Exploring Operation: 3-1=2, Resulting Numbers: [31, 2]
Generated Node #0,0,1: 34:[31, 2] Operation: 3-1=2
Exploring Operation: 31+3=34, Resulting Numbers: [1, 34]
Generated Node #0,0,2: 34:[1, 34] Operation: 31+3=34
Exploring Operation: 31*1=31, Resulting Numbers: [3, 31]
Generated Node #0,0,3: 34:[3, 31] Operation: 31*1=31
Moving to Node #0,0,2
Current State: 34:[1, 34], Operations: ['39/13=3', '31+3=34']
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[31, 39, 1, 13], Operations: []
Exploring Operation: 39/13=3, Resulting Numbers: [31, 1, 3]
Generated Node #0,0: 34:[31, 1, 3] Operation: 39/13=3
Moving to Node #0,0
Current State: 34:[31, 1, 3], Operations: ['39/13=3']
Exploring Operation: 31+3=34, Resulting Numbers: [1, 34]
Generated Node #0,0,2: 34:[1, 34] Operation: 31+3=34
Moving to Node #0,0,2
Current State: 34:[1, 34], Operations: ['39/13=3', '31+3=34']
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 |
hs_4
|
mult_heuristic
|
[
8,
56,
20,
72
] | 10 |
[
"8*20=160",
"72-56=16",
"160/16=10"
] |
Current State: 10:[8, 56, 20, 72], Operations: []
Exploring Operation: 8*20=160, Resulting Numbers: [56, 72, 160]
Generated Node #2: [56, 72, 160] from Operation: 8*20=160
Current State: 10:[56, 72, 160], Operations: ['8*20=160']
Exploring Operation: 72-56=16, Resulting Numbers: [160, 16]
Generated Node #3: [160, 16] from Operation: 72-56=16
Current State: 10:[160, 16], Operations: ['8*20=160', '72-56=16']
Exploring Operation: 160/16=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
Current State: 10:[8, 56, 20, 72], Operations: []
Exploring Operation: 56-20=36, Resulting Numbers: [8, 72, 36]
Generated Node #0,0: 10:[8, 72, 36] Operation: 56-20=36
Exploring Operation: 72/8=9, Resulting Numbers: [56, 20, 9]
Generated Node #0,1: 10:[56, 20, 9] Operation: 72/8=9
Exploring Operation: 72-56=16, Resulting Numbers: [8, 20, 16]
Generated Node #0,2: 10:[8, 20, 16] Operation: 72-56=16
Exploring Operation: 56/8=7, Resulting Numbers: [20, 72, 7]
Generated Node #0,3: 10:[20, 72, 7] Operation: 56/8=7
Moving to Node #0,2
Current State: 10:[8, 20, 16], Operations: ['72-56=16']
Exploring Operation: 20-16=4, Resulting Numbers: [8, 4]
Generated Node #0,2,0: 10:[8, 4] Operation: 20-16=4
Exploring Operation: 20-8=12, Resulting Numbers: [16, 12]
Generated Node #0,2,1: 10:[16, 12] Operation: 20-8=12
Exploring Operation: 16/8=2, Resulting Numbers: [20, 2]
Generated Node #0,2,2: 10:[20, 2] Operation: 16/8=2
Exploring Operation: 16-8=8, Resulting Numbers: [20, 8]
Generated Node #0,2,3: 10:[20, 8] Operation: 16-8=8
Moving to Node #0,1
Current State: 10:[56, 20, 9], Operations: ['72/8=9']
Exploring Operation: 20-9=11, Resulting Numbers: [56, 11]
Generated Node #0,1,0: 10:[56, 11] Operation: 20-9=11
Exploring Operation: 56-9=47, Resulting Numbers: [20, 47]
Generated Node #0,1,1: 10:[20, 47] Operation: 56-9=47
Exploring Operation: 56-20=36, Resulting Numbers: [9, 36]
Generated Node #0,1,2: 10:[9, 36] Operation: 56-20=36
Exploring Operation: 56+9=65, Resulting Numbers: [20, 65]
Generated Node #0,1,3: 10:[20, 65] Operation: 56+9=65
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 10:[9, 36], Operations: ['72/8=9', '56-20=36']
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,10 unequal: No Solution
Exploring Operation: 9+36=45, Resulting Numbers: [45]
45,10 unequal: No Solution
Exploring Operation: 36/9=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Exploring Operation: 9*36=324, Resulting Numbers: [324]
324,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 10:[56, 11], Operations: ['72/8=9', '20-9=11']
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,10 unequal: No Solution
Exploring Operation: 56+11=67, Resulting Numbers: [67]
67,10 unequal: No Solution
Exploring Operation: 56*11=616, Resulting Numbers: [616]
616,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 10:[20, 47], Operations: ['72/8=9', '56-9=47']
Exploring Operation: 20*47=940, Resulting Numbers: [940]
940,10 unequal: No Solution
Exploring Operation: 47-20=27, Resulting Numbers: [27]
27,10 unequal: No Solution
Exploring Operation: 20+47=67, Resulting Numbers: [67]
67,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 10:[20, 65], Operations: ['72/8=9', '56+9=65']
Exploring Operation: 20+65=85, Resulting Numbers: [85]
85,10 unequal: No Solution
Exploring Operation: 20*65=1300, Resulting Numbers: [1300]
1300,10 unequal: No Solution
Exploring Operation: 65-20=45, Resulting Numbers: [45]
45,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 10:[20, 72, 7], Operations: ['56/8=7']
Exploring Operation: 72-7=65, Resulting Numbers: [20, 65]
Generated Node #0,3,0: 10:[20, 65] Operation: 72-7=65
Exploring Operation: 20+7=27, Resulting Numbers: [72, 27]
Generated Node #0,3,1: 10:[72, 27] Operation: 20+7=27
Exploring Operation: 72-20=52, Resulting Numbers: [7, 52]
Generated Node #0,3,2: 10:[7, 52] Operation: 72-20=52
Exploring Operation: 20-7=13, Resulting Numbers: [72, 13]
Generated Node #0,3,3: 10:[72, 13] Operation: 20-7=13
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 10:[7, 52], Operations: ['56/8=7', '72-20=52']
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,10 unequal: No Solution
Exploring Operation: 7*52=364, Resulting Numbers: [364]
364,10 unequal: No Solution
Exploring Operation: 7+52=59, Resulting Numbers: [59]
59,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 10:[20, 65], Operations: ['56/8=7', '72-7=65']
Exploring Operation: 20*65=1300, Resulting Numbers: [1300]
1300,10 unequal: No Solution
Exploring Operation: 65-20=45, Resulting Numbers: [45]
45,10 unequal: No Solution
Exploring Operation: 20+65=85, Resulting Numbers: [85]
85,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 10:[72, 13], Operations: ['56/8=7', '20-7=13']
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,10 unequal: No Solution
Exploring Operation: 72*13=936, Resulting Numbers: [936]
936,10 unequal: No Solution
Exploring Operation: 72+13=85, Resulting Numbers: [85]
85,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 10:[72, 27], Operations: ['56/8=7', '20+7=27']
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,10 unequal: No Solution
Exploring Operation: 72*27=1944, Resulting Numbers: [1944]
1944,10 unequal: No Solution
Exploring Operation: 72+27=99, Resulting Numbers: [99]
99,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 10:[8, 72, 36], Operations: ['56-20=36']
Exploring Operation: 72/36=2, Resulting Numbers: [8, 2]
Generated Node #0,0,0: 10:[8, 2] Operation: 72/36=2
Exploring Operation: 72-36=36, Resulting Numbers: [8, 36]
Generated Node #0,0,1: 10:[8, 36] Operation: 72-36=36
Exploring Operation: 72-8=64, Resulting Numbers: [36, 64]
Generated Node #0,0,2: 10:[36, 64] Operation: 72-8=64
Exploring Operation: 72/8=9, Resulting Numbers: [36, 9]
Generated Node #0,0,3: 10:[36, 9] Operation: 72/8=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 10:[8, 2], Operations: ['56-20=36', '72/36=2']
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,10 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,10 unequal: No Solution
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[8, 56, 20, 72], Operations: []
Exploring Operation: 56-20=36, Resulting Numbers: [8, 72, 36]
Generated Node #0,0: 10:[8, 72, 36] Operation: 56-20=36
Moving to Node #0,0
Current State: 10:[8, 72, 36], Operations: ['56-20=36']
Exploring Operation: 72/36=2, Resulting Numbers: [8, 2]
Generated Node #0,0,0: 10:[8, 2] Operation: 72/36=2
Moving to Node #0,0,0
Current State: 10:[8, 2], Operations: ['56-20=36', '72/36=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.954861 |
hs_4
|
mult_heuristic
|
[
8,
72,
71,
82
] | 17 |
[
"72/8=9",
"71+82=153",
"153/9=17"
] |
Current State: 17:[8, 72, 71, 82], Operations: []
Exploring Operation: 72/8=9, Resulting Numbers: [71, 82, 9]
Generated Node #2: [71, 82, 9] from Operation: 72/8=9
Current State: 17:[71, 82, 9], Operations: ['72/8=9']
Exploring Operation: 71+82=153, Resulting Numbers: [9, 153]
Generated Node #3: [9, 153] from Operation: 71+82=153
Current State: 17:[9, 153], Operations: ['72/8=9', '71+82=153']
Exploring Operation: 153/9=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
Current State: 17:[8, 72, 71, 82], Operations: []
Exploring Operation: 82-72=10, Resulting Numbers: [8, 71, 10]
Generated Node #0,0: 17:[8, 71, 10] Operation: 82-72=10
Exploring Operation: 82-71=11, Resulting Numbers: [8, 72, 11]
Generated Node #0,1: 17:[8, 72, 11] Operation: 82-71=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[8, 71, 10], Operations: ['82-72=10']
Exploring Operation: 71-8=63, Resulting Numbers: [10, 63]
Generated Node #0,0,0: 17:[10, 63] Operation: 71-8=63
Exploring Operation: 71-10=61, Resulting Numbers: [8, 61]
Generated Node #0,0,1: 17:[8, 61] Operation: 71-10=61
Moving to Node #0,0,0
Current State: 17:[10, 63], Operations: ['82-72=10', '71-8=63']
Exploring Operation: 63-10=53, Resulting Numbers: [53]
53,17 unequal: No Solution
Exploring Operation: 10+63=73, Resulting Numbers: [73]
73,17 unequal: No Solution
Moving to Node #0,0,1
Current State: 17:[8, 61], Operations: ['82-72=10', '71-10=61']
Exploring Operation: 8+61=69, Resulting Numbers: [69]
69,17 unequal: No Solution
Exploring Operation: 61-8=53, Resulting Numbers: [53]
53,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 17:[8, 72, 11], Operations: ['82-71=11']
Exploring Operation: 72-8=64, Resulting Numbers: [11, 64]
Generated Node #0,1,0: 17:[11, 64] Operation: 72-8=64
Exploring Operation: 72/8=9, Resulting Numbers: [11, 9]
Generated Node #0,1,1: 17:[11, 9] Operation: 72/8=9
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 17:[11, 9], Operations: ['82-71=11', '72/8=9']
Exploring Operation: 11+9=20, Resulting Numbers: [20]
20,17 unequal: No Solution
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 17:[11, 64], Operations: ['82-71=11', '72-8=64']
Exploring Operation: 11+64=75, Resulting Numbers: [75]
75,17 unequal: No Solution
Exploring Operation: 64-11=53, Resulting Numbers: [53]
53,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
71,
69,
59,
14
] | 49 |
[
"71+69=140",
"140/14=10",
"59-10=49"
] |
Current State: 49:[71, 69, 59, 14], Operations: []
Exploring Operation: 71+69=140, Resulting Numbers: [59, 14, 140]
Generated Node #2: [59, 14, 140] from Operation: 71+69=140
Current State: 49:[59, 14, 140], Operations: ['71+69=140']
Exploring Operation: 140/14=10, Resulting Numbers: [59, 10]
Generated Node #3: [59, 10] from Operation: 140/14=10
Current State: 49:[59, 10], Operations: ['71+69=140', '140/14=10']
Exploring Operation: 59-10=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
Current State: 49:[71, 69, 59, 14], Operations: []
Exploring Operation: 69-59=10, Resulting Numbers: [71, 14, 10]
Generated Node #0,0: 49:[71, 14, 10] Operation: 69-59=10
Exploring Operation: 71-69=2, Resulting Numbers: [59, 14, 2]
Generated Node #0,1: 49:[59, 14, 2] Operation: 71-69=2
Exploring Operation: 71-14=57, Resulting Numbers: [69, 59, 57]
Generated Node #0,2: 49:[69, 59, 57] Operation: 71-14=57
Exploring Operation: 69-14=55, Resulting Numbers: [71, 59, 55]
Generated Node #0,3: 49:[71, 59, 55] Operation: 69-14=55
Exploring Operation: 71-59=12, Resulting Numbers: [69, 14, 12]
Generated Node #0,4: 49:[69, 14, 12] Operation: 71-59=12
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[59, 14, 2], Operations: ['71-69=2']
Exploring Operation: 59+2=61, Resulting Numbers: [14, 61]
Generated Node #0,1,0: 49:[14, 61] Operation: 59+2=61
Exploring Operation: 59-14=45, Resulting Numbers: [2, 45]
Generated Node #0,1,1: 49:[2, 45] Operation: 59-14=45
Exploring Operation: 14-2=12, Resulting Numbers: [59, 12]
Generated Node #0,1,2: 49:[59, 12] Operation: 14-2=12
Exploring Operation: 59-2=57, Resulting Numbers: [14, 57]
Generated Node #0,1,3: 49:[14, 57] Operation: 59-2=57
Exploring Operation: 14/2=7, Resulting Numbers: [59, 7]
Generated Node #0,1,4: 49:[59, 7] Operation: 14/2=7
Moving to Node #0,1,1
Current State: 49:[2, 45], Operations: ['71-69=2', '59-14=45']
Exploring Operation: 2+45=47, Resulting Numbers: [47]
47,49 unequal: No Solution
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,49 unequal: No Solution
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,49 unequal: No Solution
Moving to Node #0,1,4
Current State: 49:[59, 7], Operations: ['71-69=2', '14/2=7']
Exploring Operation: 59-7=52, Resulting Numbers: [52]
52,49 unequal: No Solution
Exploring Operation: 59+7=66, Resulting Numbers: [66]
66,49 unequal: No Solution
Exploring Operation: 59*7=413, Resulting Numbers: [413]
413,49 unequal: No Solution
Moving to Node #0,1,2
Current State: 49:[59, 12], Operations: ['71-69=2', '14-2=12']
Exploring Operation: 59+12=71, Resulting Numbers: [71]
71,49 unequal: No Solution
Exploring Operation: 59*12=708, Resulting Numbers: [708]
708,49 unequal: No Solution
Exploring Operation: 59-12=47, Resulting Numbers: [47]
47,49 unequal: No Solution
Moving to Node #0,1,3
Current State: 49:[14, 57], Operations: ['71-69=2', '59-2=57']
Exploring Operation: 14*57=798, Resulting Numbers: [798]
798,49 unequal: No Solution
Exploring Operation: 14+57=71, Resulting Numbers: [71]
71,49 unequal: No Solution
Exploring Operation: 57-14=43, Resulting Numbers: [43]
43,49 unequal: No Solution
Moving to Node #0,1,0
Current State: 49:[14, 61], Operations: ['71-69=2', '59+2=61']
Exploring Operation: 14*61=854, Resulting Numbers: [854]
854,49 unequal: No Solution
Exploring Operation: 14+61=75, Resulting Numbers: [75]
75,49 unequal: No Solution
Exploring Operation: 61-14=47, Resulting Numbers: [47]
47,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[71, 14, 10], Operations: ['69-59=10']
Exploring Operation: 14-10=4, Resulting Numbers: [71, 4]
Generated Node #0,0,0: 49:[71, 4] Operation: 14-10=4
Exploring Operation: 71+10=81, Resulting Numbers: [14, 81]
Generated Node #0,0,1: 49:[14, 81] Operation: 71+10=81
Exploring Operation: 71+14=85, Resulting Numbers: [10, 85]
Generated Node #0,0,2: 49:[10, 85] Operation: 71+14=85
Exploring Operation: 71-10=61, Resulting Numbers: [14, 61]
Generated Node #0,0,3: 49:[14, 61] Operation: 71-10=61
Exploring Operation: 71-14=57, Resulting Numbers: [10, 57]
Generated Node #0,0,4: 49:[10, 57] Operation: 71-14=57
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 49:[10, 57], Operations: ['69-59=10', '71-14=57']
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,49 unequal: No Solution
Exploring Operation: 10+57=67, Resulting Numbers: [67]
67,49 unequal: No Solution
Exploring Operation: 10*57=570, Resulting Numbers: [570]
570,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 49:[14, 61], Operations: ['69-59=10', '71-10=61']
Exploring Operation: 14+61=75, Resulting Numbers: [75]
75,49 unequal: No Solution
Exploring Operation: 14*61=854, Resulting Numbers: [854]
854,49 unequal: No Solution
Exploring Operation: 61-14=47, Resulting Numbers: [47]
47,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 49:[71, 4], Operations: ['69-59=10', '14-10=4']
Exploring Operation: 71+4=75, Resulting Numbers: [75]
75,49 unequal: No Solution
Exploring Operation: 71*4=284, Resulting Numbers: [284]
284,49 unequal: No Solution
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 49:[14, 81], Operations: ['69-59=10', '71+10=81']
Exploring Operation: 81-14=67, Resulting Numbers: [67]
67,49 unequal: No Solution
Exploring Operation: 14+81=95, Resulting Numbers: [95]
95,49 unequal: No Solution
Exploring Operation: 14*81=1134, Resulting Numbers: [1134]
1134,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 49:[10, 85], Operations: ['69-59=10', '71+14=85']
Exploring Operation: 10*85=850, Resulting Numbers: [850]
850,49 unequal: No Solution
Exploring Operation: 10+85=95, Resulting Numbers: [95]
95,49 unequal: No Solution
Exploring Operation: 85-10=75, Resulting Numbers: [75]
75,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 49:[69, 14, 12], Operations: ['71-59=12']
Exploring Operation: 69+12=81, Resulting Numbers: [14, 81]
Generated Node #0,4,0: 49:[14, 81] Operation: 69+12=81
Exploring Operation: 69-14=55, Resulting Numbers: [12, 55]
Generated Node #0,4,1: 49:[12, 55] Operation: 69-14=55
Exploring Operation: 69+14=83, Resulting Numbers: [12, 83]
Generated Node #0,4,2: 49:[12, 83] Operation: 69+14=83
Exploring Operation: 14-12=2, Resulting Numbers: [69, 2]
Generated Node #0,4,3: 49:[69, 2] Operation: 14-12=2
Exploring Operation: 69-12=57, Resulting Numbers: [14, 57]
Generated Node #0,4,4: 49:[14, 57] Operation: 69-12=57
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 49:[12, 55], Operations: ['71-59=12', '69-14=55']
Exploring Operation: 12+55=67, Resulting Numbers: [67]
67,49 unequal: No Solution
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,49 unequal: No Solution
Exploring Operation: 12*55=660, Resulting Numbers: [660]
660,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 49:[14, 57], Operations: ['71-59=12', '69-12=57']
Exploring Operation: 14+57=71, Resulting Numbers: [71]
71,49 unequal: No Solution
Exploring Operation: 14*57=798, Resulting Numbers: [798]
798,49 unequal: No Solution
Exploring Operation: 57-14=43, Resulting Numbers: [43]
43,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 49:[69, 2], Operations: ['71-59=12', '14-12=2']
Exploring Operation: 69+2=71, Resulting Numbers: [71]
71,49 unequal: No Solution
Exploring Operation: 69*2=138, Resulting Numbers: [138]
138,49 unequal: No Solution
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 49:[14, 81], Operations: ['71-59=12', '69+12=81']
Exploring Operation: 14*81=1134, Resulting Numbers: [1134]
1134,49 unequal: No Solution
Exploring Operation: 14+81=95, Resulting Numbers: [95]
95,49 unequal: No Solution
Exploring Operation: 81-14=67, Resulting Numbers: [67]
67,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 49:[12, 83], Operations: ['71-59=12', '69+14=83']
Exploring Operation: 12*83=996, Resulting Numbers: [996]
996,49 unequal: No Solution
Exploring Operation: 83-12=71, Resulting Numbers: [71]
71,49 unequal: No Solution
Exploring Operation: 12+83=95, Resulting Numbers: [95]
95,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 49:[69, 59, 57], Operations: ['71-14=57']
Exploring Operation: 69-57=12, Resulting Numbers: [59, 12]
Generated Node #0,2,0: 49:[59, 12] Operation: 69-57=12
Exploring Operation: 69+59=128, Resulting Numbers: [57, 128]
Generated Node #0,2,1: 49:[57, 128] Operation: 69+59=128
Exploring Operation: 69+57=126, Resulting Numbers: [59, 126]
Generated Node #0,2,2: 49:[59, 126] Operation: 69+57=126
Exploring Operation: 59-57=2, Resulting Numbers: [69, 2]
Generated Node #0,2,3: 49:[69, 2] Operation: 59-57=2
Exploring Operation: 69-59=10, Resulting Numbers: [57, 10]
Generated Node #0,2,4: 49:[57, 10] Operation: 69-59=10
Moving to Node #0,2,4
Current State: 49:[57, 10], Operations: ['71-14=57', '69-59=10']
Exploring Operation: 57+10=67, Resulting Numbers: [67]
67,49 unequal: No Solution
Exploring Operation: 57*10=570, Resulting Numbers: [570]
570,49 unequal: No Solution
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,49 unequal: No Solution
Moving to Node #0,2,0
Current State: 49:[59, 12], Operations: ['71-14=57', '69-57=12']
Exploring Operation: 59-12=47, Resulting Numbers: [47]
47,49 unequal: No Solution
Exploring Operation: 59+12=71, Resulting Numbers: [71]
71,49 unequal: No Solution
Exploring Operation: 59*12=708, Resulting Numbers: [708]
708,49 unequal: No Solution
Moving to Node #0,2,3
Current State: 49:[69, 2], Operations: ['71-14=57', '59-57=2']
Exploring Operation: 69*2=138, Resulting Numbers: [138]
138,49 unequal: No Solution
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,49 unequal: No Solution
Exploring Operation: 69+2=71, Resulting Numbers: [71]
71,49 unequal: No Solution
Moving to Node #0,2,1
Current State: 49:[57, 128], Operations: ['71-14=57', '69+59=128']
Exploring Operation: 128-57=71, Resulting Numbers: [71]
71,49 unequal: No Solution
Exploring Operation: 57+128=185, Resulting Numbers: [185]
185,49 unequal: No Solution
Exploring Operation: 57*128=7296, Resulting Numbers: [7296]
7296,49 unequal: No Solution
Moving to Node #0,2,2
Current State: 49:[59, 126], Operations: ['71-14=57', '69+57=126']
Exploring Operation: 59+126=185, Resulting Numbers: [185]
185,49 unequal: No Solution
Exploring Operation: 126-59=67, Resulting Numbers: [67]
67,49 unequal: No Solution
Exploring Operation: 59*126=7434, Resulting Numbers: [7434]
7434,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 49:[71, 59, 55], Operations: ['69-14=55']
Exploring Operation: 71+55=126, Resulting Numbers: [59, 126]
Generated Node #0,3,0: 49:[59, 126] Operation: 71+55=126
Exploring Operation: 71-55=16, Resulting Numbers: [59, 16]
Generated Node #0,3,1: 49:[59, 16] Operation: 71-55=16
Exploring Operation: 59-55=4, Resulting Numbers: [71, 4]
Generated Node #0,3,2: 49:[71, 4] Operation: 59-55=4
Exploring Operation: 71+59=130, Resulting Numbers: [55, 130]
Generated Node #0,3,3: 49:[55, 130] Operation: 71+59=130
Exploring Operation: 71-59=12, Resulting Numbers: [55, 12]
Generated Node #0,3,4: 49:[55, 12] Operation: 71-59=12
Moving to Node #0,3,4
Current State: 49:[55, 12], Operations: ['69-14=55', '71-59=12']
Exploring Operation: 55*12=660, Resulting Numbers: [660]
660,49 unequal: No Solution
Exploring Operation: 55+12=67, Resulting Numbers: [67]
67,49 unequal: No Solution
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,49 unequal: No Solution
Moving to Node #0,3,1
Current State: 49:[59, 16], Operations: ['69-14=55', '71-55=16']
Exploring Operation: 59+16=75, Resulting Numbers: [75]
75,49 unequal: No Solution
Exploring Operation: 59*16=944, Resulting Numbers: [944]
944,49 unequal: No Solution
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,49 unequal: No Solution
Moving to Node #0,3,2
Current State: 49:[71, 4], Operations: ['69-14=55', '59-55=4']
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,49 unequal: No Solution
Exploring Operation: 71+4=75, Resulting Numbers: [75]
75,49 unequal: No Solution
Exploring Operation: 71*4=284, Resulting Numbers: [284]
284,49 unequal: No Solution
Moving to Node #0,3,0
Current State: 49:[59, 126], Operations: ['69-14=55', '71+55=126']
Exploring Operation: 59+126=185, Resulting Numbers: [185]
185,49 unequal: No Solution
Exploring Operation: 126-59=67, Resulting Numbers: [67]
67,49 unequal: No Solution
Exploring Operation: 59*126=7434, Resulting Numbers: [7434]
7434,49 unequal: No Solution
Moving to Node #0,3,3
Current State: 49:[55, 130], Operations: ['69-14=55', '71+59=130']
Exploring Operation: 130-55=75, Resulting Numbers: [75]
75,49 unequal: No Solution
Exploring Operation: 55+130=185, Resulting Numbers: [185]
185,49 unequal: No Solution
Exploring Operation: 55*130=7150, Resulting Numbers: [7150]
7150,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
93,
24,
8,
1
] | 60 |
[
"93-24=69",
"8+1=9",
"69-9=60"
] |
Current State: 60:[93, 24, 8, 1], Operations: []
Exploring Operation: 93-24=69, Resulting Numbers: [8, 1, 69]
Generated Node #2: [8, 1, 69] from Operation: 93-24=69
Current State: 60:[8, 1, 69], Operations: ['93-24=69']
Exploring Operation: 8+1=9, Resulting Numbers: [69, 9]
Generated Node #3: [69, 9] from Operation: 8+1=9
Current State: 60:[69, 9], Operations: ['93-24=69', '8+1=9']
Exploring Operation: 69-9=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
Current State: 60:[93, 24, 8, 1], Operations: []
Exploring Operation: 93-8=85, Resulting Numbers: [24, 1, 85]
Generated Node #0,0: 60:[24, 1, 85] Operation: 93-8=85
Exploring Operation: 93-24=69, Resulting Numbers: [8, 1, 69]
Generated Node #0,1: 60:[8, 1, 69] Operation: 93-24=69
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[8, 1, 69], Operations: ['93-24=69']
Exploring Operation: 8+1=9, Resulting Numbers: [69, 9]
Generated Node #0,1,0: 60:[69, 9] Operation: 8+1=9
Exploring Operation: 69-8=61, Resulting Numbers: [1, 61]
Generated Node #0,1,1: 60:[1, 61] Operation: 69-8=61
Moving to Node #0,1,1
Current State: 60:[1, 61], Operations: ['93-24=69', '69-8=61']
Exploring Operation: 1*61=61, Resulting Numbers: [61]
61,60 unequal: No Solution
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[93, 24, 8, 1], Operations: []
Exploring Operation: 93-24=69, Resulting Numbers: [8, 1, 69]
Generated Node #0,1: 60:[8, 1, 69] Operation: 93-24=69
Moving to Node #0,1
Current State: 60:[8, 1, 69], Operations: ['93-24=69']
Exploring Operation: 69-8=61, Resulting Numbers: [1, 61]
Generated Node #0,1,1: 60:[1, 61] Operation: 69-8=61
Moving to Node #0,1,1
Current State: 60:[1, 61], Operations: ['93-24=69', '69-8=61']
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 |
hs_2
|
sum_heuristic
|
[
36,
89,
23,
5
] | 97 |
[
"36+89=125",
"23+5=28",
"125-28=97"
] |
Current State: 97:[36, 89, 23, 5], Operations: []
Exploring Operation: 36+89=125, Resulting Numbers: [23, 5, 125]
Generated Node #2: [23, 5, 125] from Operation: 36+89=125
Current State: 97:[23, 5, 125], Operations: ['36+89=125']
Exploring Operation: 23+5=28, Resulting Numbers: [125, 28]
Generated Node #3: [125, 28] from Operation: 23+5=28
Current State: 97:[125, 28], Operations: ['36+89=125', '23+5=28']
Exploring Operation: 125-28=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
Current State: 97:[36, 89, 23, 5], Operations: []
Exploring Operation: 23*5=115, Resulting Numbers: [36, 89, 115]
Generated Node #0,0: 97:[36, 89, 115] Operation: 23*5=115
Moving to Node #0,0
Current State: 97:[36, 89, 115], Operations: ['23*5=115']
Exploring Operation: 115-36=79, Resulting Numbers: [89, 79]
Generated Node #0,0,0: 97:[89, 79] Operation: 115-36=79
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 97:[89, 79], Operations: ['23*5=115', '115-36=79']
Exploring Operation: 89+79=168, Resulting Numbers: [168]
168,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
18,
30,
78,
27
] | 22 |
[
"18*78=1404",
"1404/27=52",
"52-30=22"
] |
Current State: 22:[18, 30, 78, 27], Operations: []
Exploring Operation: 18*78=1404, Resulting Numbers: [30, 27, 1404]
Generated Node #2: [30, 27, 1404] from Operation: 18*78=1404
Current State: 22:[30, 27, 1404], Operations: ['18*78=1404']
Exploring Operation: 1404/27=52, Resulting Numbers: [30, 52]
Generated Node #3: [30, 52] from Operation: 1404/27=52
Current State: 22:[30, 52], Operations: ['18*78=1404', '1404/27=52']
Exploring Operation: 52-30=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
Current State: 22:[18, 30, 78, 27], Operations: []
Exploring Operation: 78-30=48, Resulting Numbers: [18, 27, 48]
Generated Node #0,0: 22:[18, 27, 48] Operation: 78-30=48
Exploring Operation: 78-18=60, Resulting Numbers: [30, 27, 60]
Generated Node #0,1: 22:[30, 27, 60] Operation: 78-18=60
Exploring Operation: 78-27=51, Resulting Numbers: [18, 30, 51]
Generated Node #0,2: 22:[18, 30, 51] Operation: 78-27=51
Moving to Node #0,0
Current State: 22:[18, 27, 48], Operations: ['78-30=48']
Exploring Operation: 48-18=30, Resulting Numbers: [27, 30]
Generated Node #0,0,0: 22:[27, 30] Operation: 48-18=30
Exploring Operation: 27-18=9, Resulting Numbers: [48, 9]
Generated Node #0,0,1: 22:[48, 9] Operation: 27-18=9
Exploring Operation: 48-27=21, Resulting Numbers: [18, 21]
Generated Node #0,0,2: 22:[18, 21] Operation: 48-27=21
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 22:[18, 21], Operations: ['78-30=48', '48-27=21']
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Exploring Operation: 18*21=378, Resulting Numbers: [378]
378,22 unequal: No Solution
Exploring Operation: 18+21=39, Resulting Numbers: [39]
39,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 22:[27, 30], Operations: ['78-30=48', '48-18=30']
Exploring Operation: 30-27=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Exploring Operation: 27*30=810, Resulting Numbers: [810]
810,22 unequal: No Solution
Exploring Operation: 27+30=57, Resulting Numbers: [57]
57,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 22:[48, 9], Operations: ['78-30=48', '27-18=9']
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,22 unequal: No Solution
Exploring Operation: 48*9=432, Resulting Numbers: [432]
432,22 unequal: No Solution
Exploring Operation: 48+9=57, Resulting Numbers: [57]
57,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 22:[18, 30, 51], Operations: ['78-27=51']
Exploring Operation: 51-30=21, Resulting Numbers: [18, 21]
Generated Node #0,2,0: 22:[18, 21] Operation: 51-30=21
Exploring Operation: 51-18=33, Resulting Numbers: [30, 33]
Generated Node #0,2,1: 22:[30, 33] Operation: 51-18=33
Exploring Operation: 30-18=12, Resulting Numbers: [51, 12]
Generated Node #0,2,2: 22:[51, 12] Operation: 30-18=12
Moving to Node #0,1
Current State: 22:[30, 27, 60], Operations: ['78-18=60']
Exploring Operation: 60/30=2, Resulting Numbers: [27, 2]
Generated Node #0,1,0: 22:[27, 2] Operation: 60/30=2
Exploring Operation: 60-27=33, Resulting Numbers: [30, 33]
Generated Node #0,1,1: 22:[30, 33] Operation: 60-27=33
Exploring Operation: 60-30=30, Resulting Numbers: [27, 30]
Generated Node #0,1,2: 22:[27, 30] Operation: 60-30=30
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 22:[27, 2], Operations: ['78-18=60', '60/30=2']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,22 unequal: No Solution
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,22 unequal: No Solution
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 22:[27, 30], Operations: ['78-18=60', '60-30=30']
Exploring Operation: 30-27=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Exploring Operation: 27+30=57, Resulting Numbers: [57]
57,22 unequal: No Solution
Exploring Operation: 27*30=810, Resulting Numbers: [810]
810,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 22:[30, 33], Operations: ['78-18=60', '60-27=33']
Exploring Operation: 30*33=990, Resulting Numbers: [990]
990,22 unequal: No Solution
Exploring Operation: 33-30=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Exploring Operation: 30+33=63, Resulting Numbers: [63]
63,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 22:[18, 21], Operations: ['78-27=51', '51-30=21']
Exploring Operation: 18*21=378, Resulting Numbers: [378]
378,22 unequal: No Solution
Exploring Operation: 18+21=39, Resulting Numbers: [39]
39,22 unequal: No Solution
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Moving to Node #0,2,1
Current State: 22:[30, 33], Operations: ['78-27=51', '51-18=33']
Exploring Operation: 30*33=990, Resulting Numbers: [990]
990,22 unequal: No Solution
Exploring Operation: 33-30=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Exploring Operation: 30+33=63, Resulting Numbers: [63]
63,22 unequal: No Solution
Moving to Node #0,2,2
Current State: 22:[51, 12], Operations: ['78-27=51', '30-18=12']
Exploring Operation: 51*12=612, Resulting Numbers: [612]
612,22 unequal: No Solution
Exploring Operation: 51-12=39, Resulting Numbers: [39]
39,22 unequal: No Solution
Exploring Operation: 51+12=63, Resulting Numbers: [63]
63,22 unequal: No Solution
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
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