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 |
|---|---|---|---|---|---|---|---|---|
[
2,
73,
89,
39
] | 72 | [
"73-39=34",
"34/2=17",
"89-17=72"
] | Current State: 72:[2, 73, 89, 39], Operations: []
Exploring Operation: 73-39=34, Resulting Numbers: [2, 89, 34]
Generated Node #2: [2, 89, 34] from Operation: 73-39=34
Current State: 72:[2, 89, 34], Operations: ['73-39=34']
Exploring Operation: 34/2=17, Resulting Numbers: [89, 17]
Generated Node #3: [89, 17] from Operation: 34/2=17
Current State: 72:[89, 17], Operations: ['73-39=34', '34/2=17']
Exploring Operation: 89-17=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[2, 73, 89, 39], Operations: []
Exploring Operation: 89-39=50, Resulting Numbers: [2, 73, 50]
Generated Node #0,0: 72:[2, 73, 50] Operation: 89-39=50
Exploring Operation: 89-73=16, Resulting Numbers: [2, 39, 16]
Generated Node #0,1: 72:[2, 39, 16] Operation: 89-73=16
Exploring Operation: 89-2=87, Resulting Numbers: [73, 39, 87]
Generated Node #0,2: 72:[73, 39, 87] Operation: 89-2=87
Exploring Operation: 39-2=37, Resulting Numbers: [73, 89, 37]
Generated Node #0,3: 72:[73, 89, 37] Operation: 39-2=37
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[2, 39, 16], Operations: ['89-73=16']
Exploring Operation: 16/2=8, Resulting Numbers: [39, 8]
Generated Node #0,1,0: 72:[39, 8] Operation: 16/2=8
Exploring Operation: 2+16=18, Resulting Numbers: [39, 18]
Generated Node #0,1,1: 72:[39, 18] Operation: 2+16=18
Exploring Operation: 39-2=37, Resulting Numbers: [16, 37]
Generated Node #0,1,2: 72:[16, 37] Operation: 39-2=37
Exploring Operation: 39-16=23, Resulting Numbers: [2, 23]
Generated Node #0,1,3: 72:[2, 23] Operation: 39-16=23
Moving to Node #0,1,3
Current State: 72:[2, 23], Operations: ['89-73=16', '39-16=23']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,72 unequal: No Solution
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,72 unequal: No Solution
Moving to Node #0,1,1
Current State: 72:[39, 18], Operations: ['89-73=16', '2+16=18']
Exploring Operation: 39+18=57, Resulting Numbers: [57]
57,72 unequal: No Solution
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,72 unequal: No Solution
Exploring Operation: 39*18=702, Resulting Numbers: [702]
702,72 unequal: No Solution
Moving to Node #0,1,0
Current State: 72:[39, 8], Operations: ['89-73=16', '16/2=8']
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,72 unequal: No Solution
Exploring Operation: 39+8=47, Resulting Numbers: [47]
47,72 unequal: No Solution
Exploring Operation: 39*8=312, Resulting Numbers: [312]
312,72 unequal: No Solution
Moving to Node #0,1,2
Current State: 72:[16, 37], Operations: ['89-73=16', '39-2=37']
Exploring Operation: 16+37=53, Resulting Numbers: [53]
53,72 unequal: No Solution
Exploring Operation: 16*37=592, Resulting Numbers: [592]
592,72 unequal: No Solution
Exploring Operation: 37-16=21, Resulting Numbers: [21]
21,72 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: 72:[2, 73, 50], Operations: ['89-39=50']
Exploring Operation: 73-50=23, Resulting Numbers: [2, 23]
Generated Node #0,0,0: 72:[2, 23] Operation: 73-50=23
Exploring Operation: 50/2=25, Resulting Numbers: [73, 25]
Generated Node #0,0,1: 72:[73, 25] Operation: 50/2=25
Exploring Operation: 50-2=48, Resulting Numbers: [73, 48]
Generated Node #0,0,2: 72:[73, 48] Operation: 50-2=48
Exploring Operation: 73-2=71, Resulting Numbers: [50, 71]
Generated Node #0,0,3: 72:[50, 71] Operation: 73-2=71
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 72:[2, 23], Operations: ['89-39=50', '73-50=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,72 unequal: No Solution
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,72 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: 72:[73, 25], Operations: ['89-39=50', '50/2=25']
Exploring Operation: 73+25=98, Resulting Numbers: [98]
98,72 unequal: No Solution
Exploring Operation: 73*25=1825, Resulting Numbers: [1825]
1825,72 unequal: No Solution
Exploring Operation: 73-25=48, Resulting Numbers: [48]
48,72 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: 72:[73, 48], Operations: ['89-39=50', '50-2=48']
Exploring Operation: 73+48=121, Resulting Numbers: [121]
121,72 unequal: No Solution
Exploring Operation: 73-48=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Exploring Operation: 73*48=3504, Resulting Numbers: [3504]
3504,72 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: 72:[50, 71], Operations: ['89-39=50', '73-2=71']
Exploring Operation: 50*71=3550, Resulting Numbers: [3550]
3550,72 unequal: No Solution
Exploring Operation: 71-50=21, Resulting Numbers: [21]
21,72 unequal: No Solution
Exploring Operation: 50+71=121, Resulting Numbers: [121]
121,72 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: 72:[73, 39, 87], Operations: ['89-2=87']
Exploring Operation: 87-39=48, Resulting Numbers: [73, 48]
Generated Node #0,2,0: 72:[73, 48] Operation: 87-39=48
Exploring Operation: 73+39=112, Resulting Numbers: [87, 112]
Generated Node #0,2,1: 72:[87, 112] Operation: 73+39=112
Exploring Operation: 87-73=14, Resulting Numbers: [39, 14]
Generated Node #0,2,2: 72:[39, 14] Operation: 87-73=14
Exploring Operation: 73-39=34, Resulting Numbers: [87, 34]
Generated Node #0,2,3: 72:[87, 34] Operation: 73-39=34
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 72:[39, 14], Operations: ['89-2=87', '87-73=14']
Exploring Operation: 39*14=546, Resulting Numbers: [546]
546,72 unequal: No Solution
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,72 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: 72:[73, 48], Operations: ['89-2=87', '87-39=48']
Exploring Operation: 73+48=121, Resulting Numbers: [121]
121,72 unequal: No Solution
Exploring Operation: 73-48=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Exploring Operation: 73*48=3504, Resulting Numbers: [3504]
3504,72 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: 72:[87, 34], Operations: ['89-2=87', '73-39=34']
Exploring Operation: 87+34=121, Resulting Numbers: [121]
121,72 unequal: No Solution
Exploring Operation: 87-34=53, Resulting Numbers: [53]
53,72 unequal: No Solution
Exploring Operation: 87*34=2958, Resulting Numbers: [2958]
2958,72 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: 72:[87, 112], Operations: ['89-2=87', '73+39=112']
Exploring Operation: 87*112=9744, Resulting Numbers: [9744]
9744,72 unequal: No Solution
Exploring Operation: 87+112=199, Resulting Numbers: [199]
199,72 unequal: No Solution
Exploring Operation: 112-87=25, Resulting Numbers: [25]
25,72 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: 72:[73, 89, 37], Operations: ['39-2=37']
Exploring Operation: 89-37=52, Resulting Numbers: [73, 52]
Generated Node #0,3,0: 72:[73, 52] Operation: 89-37=52
Exploring Operation: 73-37=36, Resulting Numbers: [89, 36]
Generated Node #0,3,1: 72:[89, 36] Operation: 73-37=36
Exploring Operation: 73+37=110, Resulting Numbers: [89, 110]
Generated Node #0,3,2: 72:[89, 110] Operation: 73+37=110
Exploring Operation: 89-73=16, Resulting Numbers: [37, 16]
Generated Node #0,3,3: 72:[37, 16] Operation: 89-73=16
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 72:[37, 16], Operations: ['39-2=37', '89-73=16']
Exploring Operation: 37-16=21, Resulting Numbers: [21]
21,72 unequal: No Solution
Exploring Operation: 37*16=592, Resulting Numbers: [592]
592,72 unequal: No Solution
Exploring Operation: 37+16=53, Resulting Numbers: [53]
53,72 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: 72:[73, 52], Operations: ['39-2=37', '89-37=52']
Exploring Operation: 73-52=21, Resulting Numbers: [21]
21,72 unequal: No Solution
Exploring Operation: 73+52=125, Resulting Numbers: [125]
125,72 unequal: No Solution
Exploring Operation: 73*52=3796, Resulting Numbers: [3796]
3796,72 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: 72:[89, 36], Operations: ['39-2=37', '73-37=36']
Exploring Operation: 89*36=3204, Resulting Numbers: [3204]
3204,72 unequal: No Solution
Exploring Operation: 89+36=125, Resulting Numbers: [125]
125,72 unequal: No Solution
Exploring Operation: 89-36=53, Resulting Numbers: [53]
53,72 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: 72:[89, 110], Operations: ['39-2=37', '73+37=110']
Exploring Operation: 110-89=21, Resulting Numbers: [21]
21,72 unequal: No Solution
Exploring Operation: 89+110=199, Resulting Numbers: [199]
199,72 unequal: No Solution
Exploring Operation: 89*110=9790, Resulting Numbers: [9790]
9790,72 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 |
[
77,
27,
30,
47
] | 26 | [
"77-30=47",
"47/47=1",
"27-1=26"
] | Current State: 26:[77, 27, 30, 47], Operations: []
Exploring Operation: 77-30=47, Resulting Numbers: [27, 47, 47]
Generated Node #2: [27, 47, 47] from Operation: 77-30=47
Current State: 26:[27, 47, 47], Operations: ['77-30=47']
Exploring Operation: 47/47=1, Resulting Numbers: [27, 1]
Generated Node #3: [27, 1] from Operation: 47/47=1
Current State: 26:[27, 1], Operations: ['77-30=47', '47/47=1']
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[77, 27, 30, 47], Operations: []
Exploring Operation: 77-47=30, Resulting Numbers: [27, 30, 30]
Generated Node #0,0: 26:[27, 30, 30] Operation: 77-47=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[27, 30, 30], Operations: ['77-47=30']
Exploring Operation: 30/30=1, Resulting Numbers: [27, 1]
Generated Node #0,0,0: 26:[27, 1] Operation: 30/30=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 26:[27, 1], Operations: ['77-47=30', '30/30=1']
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[77, 27, 30, 47], Operations: []
Exploring Operation: 77-47=30, Resulting Numbers: [27, 30, 30]
Generated Node #0,0: 26:[27, 30, 30] Operation: 77-47=30
Moving to Node #0,0
Current State: 26:[27, 30, 30], Operations: ['77-47=30']
Exploring Operation: 30/30=1, Resulting Numbers: [27, 1]
Generated Node #0,0,0: 26:[27, 1] Operation: 30/30=1
Moving to Node #0,0,0
Current State: 26:[27, 1], Operations: ['77-47=30', '30/30=1']
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
14,
20,
90,
9
] | 16 | [
"20-14=6",
"90/9=10",
"6+10=16"
] | Current State: 16:[14, 20, 90, 9], Operations: []
Exploring Operation: 20-14=6, Resulting Numbers: [90, 9, 6]
Generated Node #2: [90, 9, 6] from Operation: 20-14=6
Current State: 16:[90, 9, 6], Operations: ['20-14=6']
Exploring Operation: 90/9=10, Resulting Numbers: [6, 10]
Generated Node #3: [6, 10] from Operation: 90/9=10
Current State: 16:[6, 10], Operations: ['20-14=6', '90/9=10']
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[14, 20, 90, 9], Operations: []
Exploring Operation: 90-20=70, Resulting Numbers: [14, 9, 70]
Generated Node #0,0: 16:[14, 9, 70] Operation: 90-20=70
Exploring Operation: 90-14=76, Resulting Numbers: [20, 9, 76]
Generated Node #0,1: 16:[20, 9, 76] Operation: 90-14=76
Exploring Operation: 90-9=81, Resulting Numbers: [14, 20, 81]
Generated Node #0,2: 16:[14, 20, 81] Operation: 90-9=81
Exploring Operation: 20-14=6, Resulting Numbers: [90, 9, 6]
Generated Node #0,3: 16:[90, 9, 6] Operation: 20-14=6
Exploring Operation: 90/9=10, Resulting Numbers: [14, 20, 10]
Generated Node #0,4: 16:[14, 20, 10] Operation: 90/9=10
Moving to Node #0,4
Current State: 16:[14, 20, 10], Operations: ['90/9=10']
Exploring Operation: 20-14=6, Resulting Numbers: [10, 6]
Generated Node #0,4,0: 16:[10, 6] Operation: 20-14=6
Exploring Operation: 14+10=24, Resulting Numbers: [20, 24]
Generated Node #0,4,1: 16:[20, 24] Operation: 14+10=24
Exploring Operation: 14-10=4, Resulting Numbers: [20, 4]
Generated Node #0,4,2: 16:[20, 4] Operation: 14-10=4
Exploring Operation: 20-10=10, Resulting Numbers: [14, 10]
Generated Node #0,4,3: 16:[14, 10] Operation: 20-10=10
Exploring Operation: 20/10=2, Resulting Numbers: [14, 2]
Generated Node #0,4,4: 16:[14, 2] Operation: 20/10=2
Moving to Node #0,0
Current State: 16:[14, 9, 70], Operations: ['90-20=70']
Exploring Operation: 14-9=5, Resulting Numbers: [70, 5]
Generated Node #0,0,0: 16:[70, 5] Operation: 14-9=5
Exploring Operation: 70/14=5, Resulting Numbers: [9, 5]
Generated Node #0,0,1: 16:[9, 5] Operation: 70/14=5
Exploring Operation: 70-9=61, Resulting Numbers: [14, 61]
Generated Node #0,0,2: 16:[14, 61] Operation: 70-9=61
Exploring Operation: 70-14=56, Resulting Numbers: [9, 56]
Generated Node #0,0,3: 16:[9, 56] Operation: 70-14=56
Exploring Operation: 14+9=23, Resulting Numbers: [70, 23]
Generated Node #0,0,4: 16:[70, 23] Operation: 14+9=23
Moving to Node #0,1
Current State: 16:[20, 9, 76], Operations: ['90-14=76']
Exploring Operation: 76-9=67, Resulting Numbers: [20, 67]
Generated Node #0,1,0: 16:[20, 67] Operation: 76-9=67
Exploring Operation: 76-20=56, Resulting Numbers: [9, 56]
Generated Node #0,1,1: 16:[9, 56] Operation: 76-20=56
Exploring Operation: 20-9=11, Resulting Numbers: [76, 11]
Generated Node #0,1,2: 16:[76, 11] Operation: 20-9=11
Exploring Operation: 20+9=29, Resulting Numbers: [76, 29]
Generated Node #0,1,3: 16:[76, 29] Operation: 20+9=29
Exploring Operation: 9+76=85, Resulting Numbers: [20, 85]
Generated Node #0,1,4: 16:[20, 85] Operation: 9+76=85
Moving to Node #0,2
Current State: 16:[14, 20, 81], Operations: ['90-9=81']
Exploring Operation: 20-14=6, Resulting Numbers: [81, 6]
Generated Node #0,2,0: 16:[81, 6] Operation: 20-14=6
Exploring Operation: 14+20=34, Resulting Numbers: [81, 34]
Generated Node #0,2,1: 16:[81, 34] Operation: 14+20=34
Exploring Operation: 14+81=95, Resulting Numbers: [20, 95]
Generated Node #0,2,2: 16:[20, 95] Operation: 14+81=95
Exploring Operation: 81-14=67, Resulting Numbers: [20, 67]
Generated Node #0,2,3: 16:[20, 67] Operation: 81-14=67
Exploring Operation: 81-20=61, Resulting Numbers: [14, 61]
Generated Node #0,2,4: 16:[14, 61] Operation: 81-20=61
Moving to Node #0,3
Current State: 16:[90, 9, 6], Operations: ['20-14=6']
Exploring Operation: 90-6=84, Resulting Numbers: [9, 84]
Generated Node #0,3,0: 16:[9, 84] Operation: 90-6=84
Exploring Operation: 90/6=15, Resulting Numbers: [9, 15]
Generated Node #0,3,1: 16:[9, 15] Operation: 90/6=15
Exploring Operation: 90-9=81, Resulting Numbers: [6, 81]
Generated Node #0,3,2: 16:[6, 81] Operation: 90-9=81
Exploring Operation: 90/9=10, Resulting Numbers: [6, 10]
Generated Node #0,3,3: 16:[6, 10] Operation: 90/9=10
Exploring Operation: 9+6=15, Resulting Numbers: [90, 15]
Generated Node #0,3,4: 16:[90, 15] Operation: 9+6=15
Moving to Node #0,4,4
Current State: 16:[14, 2], Operations: ['90/9=10', '20/10=2']
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,16 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[14, 20, 90, 9], Operations: []
Exploring Operation: 90/9=10, Resulting Numbers: [14, 20, 10]
Generated Node #0,4: 16:[14, 20, 10] Operation: 90/9=10
Moving to Node #0,4
Current State: 16:[14, 20, 10], Operations: ['90/9=10']
Exploring Operation: 20/10=2, Resulting Numbers: [14, 2]
Generated Node #0,4,4: 16:[14, 2] Operation: 20/10=2
Moving to Node #0,4,4
Current State: 16:[14, 2], Operations: ['90/9=10', '20/10=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 0.967014 | hs_5 | sum_heuristic |
[
10,
21,
89,
60
] | 74 | [
"60/10=6",
"89-21=68",
"6+68=74"
] | Current State: 74:[10, 21, 89, 60], Operations: []
Exploring Operation: 60/10=6, Resulting Numbers: [21, 89, 6]
Generated Node #2: [21, 89, 6] from Operation: 60/10=6
Current State: 74:[21, 89, 6], Operations: ['60/10=6']
Exploring Operation: 89-21=68, Resulting Numbers: [6, 68]
Generated Node #3: [6, 68] from Operation: 89-21=68
Current State: 74:[6, 68], Operations: ['60/10=6', '89-21=68']
Exploring Operation: 6+68=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[10, 21, 89, 60], Operations: []
Exploring Operation: 89-21=68, Resulting Numbers: [10, 60, 68]
Generated Node #0,0: 74:[10, 60, 68] Operation: 89-21=68
Exploring Operation: 60-21=39, Resulting Numbers: [10, 89, 39]
Generated Node #0,1: 74:[10, 89, 39] Operation: 60-21=39
Exploring Operation: 21+60=81, Resulting Numbers: [10, 89, 81]
Generated Node #0,2: 74:[10, 89, 81] Operation: 21+60=81
Moving to Node #0,1
Current State: 74:[10, 89, 39], Operations: ['60-21=39']
Exploring Operation: 89-10=79, Resulting Numbers: [39, 79]
Generated Node #0,1,0: 74:[39, 79] Operation: 89-10=79
Exploring Operation: 39-10=29, Resulting Numbers: [89, 29]
Generated Node #0,1,1: 74:[89, 29] Operation: 39-10=29
Exploring Operation: 89-39=50, Resulting Numbers: [10, 50]
Generated Node #0,1,2: 74:[10, 50] Operation: 89-39=50
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 74:[39, 79], Operations: ['60-21=39', '89-10=79']
Exploring Operation: 39+79=118, Resulting Numbers: [118]
118,74 unequal: No Solution
Exploring Operation: 39*79=3081, Resulting Numbers: [3081]
3081,74 unequal: No Solution
Exploring Operation: 79-39=40, Resulting Numbers: [40]
40,74 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: 74:[10, 50], Operations: ['60-21=39', '89-39=50']
Exploring Operation: 50-10=40, Resulting Numbers: [40]
40,74 unequal: No Solution
Exploring Operation: 10+50=60, Resulting Numbers: [60]
60,74 unequal: No Solution
Exploring Operation: 50/10=5, Resulting Numbers: [5]
5,74 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: 74:[89, 29], Operations: ['60-21=39', '39-10=29']
Exploring Operation: 89*29=2581, Resulting Numbers: [2581]
2581,74 unequal: No Solution
Exploring Operation: 89+29=118, Resulting Numbers: [118]
118,74 unequal: No Solution
Exploring Operation: 89-29=60, Resulting Numbers: [60]
60,74 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: 74:[10, 60, 68], Operations: ['89-21=68']
Exploring Operation: 68-60=8, Resulting Numbers: [10, 8]
Generated Node #0,0,0: 74:[10, 8] Operation: 68-60=8
Exploring Operation: 60/10=6, Resulting Numbers: [68, 6]
Generated Node #0,0,1: 74:[68, 6] Operation: 60/10=6
Exploring Operation: 10+60=70, Resulting Numbers: [68, 70]
Generated Node #0,0,2: 74:[68, 70] Operation: 10+60=70
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 74:[68, 6], Operations: ['89-21=68', '60/10=6']
Exploring Operation: 68+6=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[10, 21, 89, 60], Operations: []
Exploring Operation: 89-21=68, Resulting Numbers: [10, 60, 68]
Generated Node #0,0: 74:[10, 60, 68] Operation: 89-21=68
Moving to Node #0,0
Current State: 74:[10, 60, 68], Operations: ['89-21=68']
Exploring Operation: 60/10=6, Resulting Numbers: [68, 6]
Generated Node #0,0,1: 74:[68, 6] Operation: 60/10=6
Moving to Node #0,0,1
Current State: 74:[68, 6], Operations: ['89-21=68', '60/10=6']
Exploring Operation: 68+6=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_3 | sum_heuristic |
[
59,
94,
25,
70
] | 60 | [
"94-59=35",
"25+70=95",
"95-35=60"
] | Current State: 60:[59, 94, 25, 70], Operations: []
Exploring Operation: 94-59=35, Resulting Numbers: [25, 70, 35]
Generated Node #2: [25, 70, 35] from Operation: 94-59=35
Current State: 60:[25, 70, 35], Operations: ['94-59=35']
Exploring Operation: 25+70=95, Resulting Numbers: [35, 95]
Generated Node #3: [35, 95] from Operation: 25+70=95
Current State: 60:[35, 95], Operations: ['94-59=35', '25+70=95']
Exploring Operation: 95-35=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[59, 94, 25, 70], Operations: []
Exploring Operation: 94-59=35, Resulting Numbers: [25, 70, 35]
Generated Node #0,0: 60:[25, 70, 35] Operation: 94-59=35
Exploring Operation: 94-70=24, Resulting Numbers: [59, 25, 24]
Generated Node #0,1: 60:[59, 25, 24] Operation: 94-70=24
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[59, 25, 24], Operations: ['94-70=24']
Exploring Operation: 25-24=1, Resulting Numbers: [59, 1]
Generated Node #0,1,0: 60:[59, 1] Operation: 25-24=1
Exploring Operation: 59-25=34, Resulting Numbers: [24, 34]
Generated Node #0,1,1: 60:[24, 34] Operation: 59-25=34
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 60:[59, 1], Operations: ['94-70=24', '25-24=1']
Exploring Operation: 59+1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[59, 94, 25, 70], Operations: []
Exploring Operation: 94-70=24, Resulting Numbers: [59, 25, 24]
Generated Node #0,1: 60:[59, 25, 24] Operation: 94-70=24
Moving to Node #0,1
Current State: 60:[59, 25, 24], Operations: ['94-70=24']
Exploring Operation: 25-24=1, Resulting Numbers: [59, 1]
Generated Node #0,1,0: 60:[59, 1] Operation: 25-24=1
Moving to Node #0,1,0
Current State: 60:[59, 1], Operations: ['94-70=24', '25-24=1']
Exploring Operation: 59+1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
47,
62,
13,
10
] | 12 | [
"62-47=15",
"13-10=3",
"15-3=12"
] | Current State: 12:[47, 62, 13, 10], Operations: []
Exploring Operation: 62-47=15, Resulting Numbers: [13, 10, 15]
Generated Node #2: [13, 10, 15] from Operation: 62-47=15
Current State: 12:[13, 10, 15], Operations: ['62-47=15']
Exploring Operation: 13-10=3, Resulting Numbers: [15, 3]
Generated Node #3: [15, 3] from Operation: 13-10=3
Current State: 12:[15, 3], Operations: ['62-47=15', '13-10=3']
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[47, 62, 13, 10], Operations: []
Exploring Operation: 47-10=37, Resulting Numbers: [62, 13, 37]
Generated Node #0,0: 12:[62, 13, 37] Operation: 47-10=37
Exploring Operation: 47-13=34, Resulting Numbers: [62, 10, 34]
Generated Node #0,1: 12:[62, 10, 34] Operation: 47-13=34
Exploring Operation: 62-13=49, Resulting Numbers: [47, 10, 49]
Generated Node #0,2: 12:[47, 10, 49] Operation: 62-13=49
Exploring Operation: 62-47=15, Resulting Numbers: [13, 10, 15]
Generated Node #0,3: 12:[13, 10, 15] Operation: 62-47=15
Start Sub Search at level 1: Moving to Node #0,3
Current State: 12:[13, 10, 15], Operations: ['62-47=15']
Exploring Operation: 15-10=5, Resulting Numbers: [13, 5]
Generated Node #0,3,0: 12:[13, 5] Operation: 15-10=5
Exploring Operation: 13-10=3, Resulting Numbers: [15, 3]
Generated Node #0,3,1: 12:[15, 3] Operation: 13-10=3
Exploring Operation: 13+10=23, Resulting Numbers: [15, 23]
Generated Node #0,3,2: 12:[15, 23] Operation: 13+10=23
Exploring Operation: 15-13=2, Resulting Numbers: [10, 2]
Generated Node #0,3,3: 12:[10, 2] Operation: 15-13=2
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 12:[13, 5], Operations: ['62-47=15', '15-10=5']
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,12 unequal: No Solution
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,12 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: 12:[10, 2], Operations: ['62-47=15', '15-13=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[47, 62, 13, 10], Operations: []
Exploring Operation: 62-47=15, Resulting Numbers: [13, 10, 15]
Generated Node #0,3: 12:[13, 10, 15] Operation: 62-47=15
Moving to Node #0,3
Current State: 12:[13, 10, 15], Operations: ['62-47=15']
Exploring Operation: 15-13=2, Resulting Numbers: [10, 2]
Generated Node #0,3,3: 12:[10, 2] Operation: 15-13=2
Moving to Node #0,3,3
Current State: 12:[10, 2], Operations: ['62-47=15', '15-13=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
54,
10,
79,
39
] | 84 | [
"54-10=44",
"79-39=40",
"44+40=84"
] | Current State: 84:[54, 10, 79, 39], Operations: []
Exploring Operation: 54-10=44, Resulting Numbers: [79, 39, 44]
Generated Node #2: [79, 39, 44] from Operation: 54-10=44
Current State: 84:[79, 39, 44], Operations: ['54-10=44']
Exploring Operation: 79-39=40, Resulting Numbers: [44, 40]
Generated Node #3: [44, 40] from Operation: 79-39=40
Current State: 84:[44, 40], Operations: ['54-10=44', '79-39=40']
Exploring Operation: 44+40=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[54, 10, 79, 39], Operations: []
Exploring Operation: 54-39=15, Resulting Numbers: [10, 79, 15]
Generated Node #0,0: 84:[10, 79, 15] Operation: 54-39=15
Exploring Operation: 79-54=25, Resulting Numbers: [10, 39, 25]
Generated Node #0,1: 84:[10, 39, 25] Operation: 79-54=25
Moving to Node #0,0
Current State: 84:[10, 79, 15], Operations: ['54-39=15']
Exploring Operation: 15-10=5, Resulting Numbers: [79, 5]
Generated Node #0,0,0: 84:[79, 5] Operation: 15-10=5
Exploring Operation: 10+79=89, Resulting Numbers: [15, 89]
Generated Node #0,0,1: 84:[15, 89] Operation: 10+79=89
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 84:[79, 5], Operations: ['54-39=15', '15-10=5']
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,84 unequal: No Solution
Exploring Operation: 79+5=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[54, 10, 79, 39], Operations: []
Exploring Operation: 54-39=15, Resulting Numbers: [10, 79, 15]
Generated Node #0,0: 84:[10, 79, 15] Operation: 54-39=15
Moving to Node #0,0
Current State: 84:[10, 79, 15], Operations: ['54-39=15']
Exploring Operation: 15-10=5, Resulting Numbers: [79, 5]
Generated Node #0,0,0: 84:[79, 5] Operation: 15-10=5
Moving to Node #0,0,0
Current State: 84:[79, 5], Operations: ['54-39=15', '15-10=5']
Exploring Operation: 79+5=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
49,
44,
70,
59
] | 73 | [
"49-44=5",
"70/5=14",
"59+14=73"
] | Current State: 73:[49, 44, 70, 59], Operations: []
Exploring Operation: 49-44=5, Resulting Numbers: [70, 59, 5]
Generated Node #2: [70, 59, 5] from Operation: 49-44=5
Current State: 73:[70, 59, 5], Operations: ['49-44=5']
Exploring Operation: 70/5=14, Resulting Numbers: [59, 14]
Generated Node #3: [59, 14] from Operation: 70/5=14
Current State: 73:[59, 14], Operations: ['49-44=5', '70/5=14']
Exploring Operation: 59+14=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[49, 44, 70, 59], Operations: []
Exploring Operation: 49-44=5, Resulting Numbers: [70, 59, 5]
Generated Node #0,0: 73:[70, 59, 5] Operation: 49-44=5
Exploring Operation: 49+44=93, Resulting Numbers: [70, 59, 93]
Generated Node #0,1: 73:[70, 59, 93] Operation: 49+44=93
Exploring Operation: 49+59=108, Resulting Numbers: [44, 70, 108]
Generated Node #0,2: 73:[44, 70, 108] Operation: 49+59=108
Exploring Operation: 44+59=103, Resulting Numbers: [49, 70, 103]
Generated Node #0,3: 73:[49, 70, 103] Operation: 44+59=103
Exploring Operation: 44+70=114, Resulting Numbers: [49, 59, 114]
Generated Node #0,4: 73:[49, 59, 114] Operation: 44+70=114
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[70, 59, 93], Operations: ['49+44=93']
Exploring Operation: 59+93=152, Resulting Numbers: [70, 152]
Generated Node #0,1,0: 73:[70, 152] Operation: 59+93=152
Exploring Operation: 93-70=23, Resulting Numbers: [59, 23]
Generated Node #0,1,1: 73:[59, 23] Operation: 93-70=23
Exploring Operation: 70-59=11, Resulting Numbers: [93, 11]
Generated Node #0,1,2: 73:[93, 11] Operation: 70-59=11
Exploring Operation: 93-59=34, Resulting Numbers: [70, 34]
Generated Node #0,1,3: 73:[70, 34] Operation: 93-59=34
Exploring Operation: 70+59=129, Resulting Numbers: [93, 129]
Generated Node #0,1,4: 73:[93, 129] Operation: 70+59=129
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 73:[70, 34], Operations: ['49+44=93', '93-59=34']
Exploring Operation: 70+34=104, Resulting Numbers: [104]
104,73 unequal: No Solution
Exploring Operation: 70-34=36, Resulting Numbers: [36]
36,73 unequal: No Solution
Exploring Operation: 70*34=2380, Resulting Numbers: [2380]
2380,73 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: 73:[59, 23], Operations: ['49+44=93', '93-70=23']
Exploring Operation: 59-23=36, Resulting Numbers: [36]
36,73 unequal: No Solution
Exploring Operation: 59*23=1357, Resulting Numbers: [1357]
1357,73 unequal: No Solution
Exploring Operation: 59+23=82, Resulting Numbers: [82]
82,73 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: 73:[93, 129], Operations: ['49+44=93', '70+59=129']
Exploring Operation: 93+129=222, Resulting Numbers: [222]
222,73 unequal: No Solution
Exploring Operation: 129-93=36, Resulting Numbers: [36]
36,73 unequal: No Solution
Exploring Operation: 93*129=11997, Resulting Numbers: [11997]
11997,73 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: 73:[70, 152], Operations: ['49+44=93', '59+93=152']
Exploring Operation: 70*152=10640, Resulting Numbers: [10640]
10640,73 unequal: No Solution
Exploring Operation: 152-70=82, Resulting Numbers: [82]
82,73 unequal: No Solution
Exploring Operation: 70+152=222, Resulting Numbers: [222]
222,73 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: 73:[93, 11], Operations: ['49+44=93', '70-59=11']
Exploring Operation: 93+11=104, Resulting Numbers: [104]
104,73 unequal: No Solution
Exploring Operation: 93*11=1023, Resulting Numbers: [1023]
1023,73 unequal: No Solution
Exploring Operation: 93-11=82, Resulting Numbers: [82]
82,73 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: 73:[49, 70, 103], Operations: ['44+59=103']
Exploring Operation: 49+103=152, Resulting Numbers: [70, 152]
Generated Node #0,3,0: 73:[70, 152] Operation: 49+103=152
Exploring Operation: 49+70=119, Resulting Numbers: [103, 119]
Generated Node #0,3,1: 73:[103, 119] Operation: 49+70=119
Exploring Operation: 103-70=33, Resulting Numbers: [49, 33]
Generated Node #0,3,2: 73:[49, 33] Operation: 103-70=33
Exploring Operation: 70-49=21, Resulting Numbers: [103, 21]
Generated Node #0,3,3: 73:[103, 21] Operation: 70-49=21
Exploring Operation: 103-49=54, Resulting Numbers: [70, 54]
Generated Node #0,3,4: 73:[70, 54] Operation: 103-49=54
Moving to Node #0,3,4
Current State: 73:[70, 54], Operations: ['44+59=103', '103-49=54']
Exploring Operation: 70-54=16, Resulting Numbers: [16]
16,73 unequal: No Solution
Exploring Operation: 70*54=3780, Resulting Numbers: [3780]
3780,73 unequal: No Solution
Exploring Operation: 70+54=124, Resulting Numbers: [124]
124,73 unequal: No Solution
Moving to Node #0,3,2
Current State: 73:[49, 33], Operations: ['44+59=103', '103-70=33']
Exploring Operation: 49+33=82, Resulting Numbers: [82]
82,73 unequal: No Solution
Exploring Operation: 49*33=1617, Resulting Numbers: [1617]
1617,73 unequal: No Solution
Exploring Operation: 49-33=16, Resulting Numbers: [16]
16,73 unequal: No Solution
Moving to Node #0,3,1
Current State: 73:[103, 119], Operations: ['44+59=103', '49+70=119']
Exploring Operation: 119-103=16, Resulting Numbers: [16]
16,73 unequal: No Solution
Exploring Operation: 103*119=12257, Resulting Numbers: [12257]
12257,73 unequal: No Solution
Exploring Operation: 103+119=222, Resulting Numbers: [222]
222,73 unequal: No Solution
Moving to Node #0,3,0
Current State: 73:[70, 152], Operations: ['44+59=103', '49+103=152']
Exploring Operation: 70*152=10640, Resulting Numbers: [10640]
10640,73 unequal: No Solution
Exploring Operation: 152-70=82, Resulting Numbers: [82]
82,73 unequal: No Solution
Exploring Operation: 70+152=222, Resulting Numbers: [222]
222,73 unequal: No Solution
Moving to Node #0,3,3
Current State: 73:[103, 21], Operations: ['44+59=103', '70-49=21']
Exploring Operation: 103-21=82, Resulting Numbers: [82]
82,73 unequal: No Solution
Exploring Operation: 103*21=2163, Resulting Numbers: [2163]
2163,73 unequal: No Solution
Exploring Operation: 103+21=124, Resulting Numbers: [124]
124,73 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: 73:[44, 70, 108], Operations: ['49+59=108']
Exploring Operation: 44+70=114, Resulting Numbers: [108, 114]
Generated Node #0,2,0: 73:[108, 114] Operation: 44+70=114
Exploring Operation: 108-70=38, Resulting Numbers: [44, 38]
Generated Node #0,2,1: 73:[44, 38] Operation: 108-70=38
Exploring Operation: 44+108=152, Resulting Numbers: [70, 152]
Generated Node #0,2,2: 73:[70, 152] Operation: 44+108=152
Exploring Operation: 70-44=26, Resulting Numbers: [108, 26]
Generated Node #0,2,3: 73:[108, 26] Operation: 70-44=26
Exploring Operation: 108-44=64, Resulting Numbers: [70, 64]
Generated Node #0,2,4: 73:[70, 64] Operation: 108-44=64
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 73:[70, 64], Operations: ['49+59=108', '108-44=64']
Exploring Operation: 70+64=134, Resulting Numbers: [134]
134,73 unequal: No Solution
Exploring Operation: 70-64=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 70*64=4480, Resulting Numbers: [4480]
4480,73 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: 73:[44, 38], Operations: ['49+59=108', '108-70=38']
Exploring Operation: 44*38=1672, Resulting Numbers: [1672]
1672,73 unequal: No Solution
Exploring Operation: 44-38=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 44+38=82, Resulting Numbers: [82]
82,73 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: 73:[108, 114], Operations: ['49+59=108', '44+70=114']
Exploring Operation: 108+114=222, Resulting Numbers: [222]
222,73 unequal: No Solution
Exploring Operation: 114-108=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 108*114=12312, Resulting Numbers: [12312]
12312,73 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: 73:[70, 152], Operations: ['49+59=108', '44+108=152']
Exploring Operation: 70*152=10640, Resulting Numbers: [10640]
10640,73 unequal: No Solution
Exploring Operation: 152-70=82, Resulting Numbers: [82]
82,73 unequal: No Solution
Exploring Operation: 70+152=222, Resulting Numbers: [222]
222,73 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: 73:[108, 26], Operations: ['49+59=108', '70-44=26']
Exploring Operation: 108*26=2808, Resulting Numbers: [2808]
2808,73 unequal: No Solution
Exploring Operation: 108-26=82, Resulting Numbers: [82]
82,73 unequal: No Solution
Exploring Operation: 108+26=134, Resulting Numbers: [134]
134,73 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: 73:[49, 59, 114], Operations: ['44+70=114']
Exploring Operation: 49+59=108, Resulting Numbers: [114, 108]
Generated Node #0,4,0: 73:[114, 108] Operation: 49+59=108
Exploring Operation: 114-59=55, Resulting Numbers: [49, 55]
Generated Node #0,4,1: 73:[49, 55] Operation: 114-59=55
Exploring Operation: 114-49=65, Resulting Numbers: [59, 65]
Generated Node #0,4,2: 73:[59, 65] Operation: 114-49=65
Exploring Operation: 59-49=10, Resulting Numbers: [114, 10]
Generated Node #0,4,3: 73:[114, 10] Operation: 59-49=10
Exploring Operation: 49+114=163, Resulting Numbers: [59, 163]
Generated Node #0,4,4: 73:[59, 163] Operation: 49+114=163
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 73:[59, 65], Operations: ['44+70=114', '114-49=65']
Exploring Operation: 59*65=3835, Resulting Numbers: [3835]
3835,73 unequal: No Solution
Exploring Operation: 59+65=124, Resulting Numbers: [124]
124,73 unequal: No Solution
Exploring Operation: 65-59=6, Resulting Numbers: [6]
6,73 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: 73:[49, 55], Operations: ['44+70=114', '114-59=55']
Exploring Operation: 49+55=104, Resulting Numbers: [104]
104,73 unequal: No Solution
Exploring Operation: 55-49=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 49*55=2695, Resulting Numbers: [2695]
2695,73 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: 73:[114, 108], Operations: ['44+70=114', '49+59=108']
Exploring Operation: 114-108=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 114*108=12312, Resulting Numbers: [12312]
12312,73 unequal: No Solution
Exploring Operation: 114+108=222, Resulting Numbers: [222]
222,73 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: 73:[114, 10], Operations: ['44+70=114', '59-49=10']
Exploring Operation: 114*10=1140, Resulting Numbers: [1140]
1140,73 unequal: No Solution
Exploring Operation: 114-10=104, Resulting Numbers: [104]
104,73 unequal: No Solution
Exploring Operation: 114+10=124, Resulting Numbers: [124]
124,73 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: 73:[59, 163], Operations: ['44+70=114', '49+114=163']
Exploring Operation: 59+163=222, Resulting Numbers: [222]
222,73 unequal: No Solution
Exploring Operation: 59*163=9617, Resulting Numbers: [9617]
9617,73 unequal: No Solution
Exploring Operation: 163-59=104, Resulting Numbers: [104]
104,73 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: 73:[70, 59, 5], Operations: ['49-44=5']
Exploring Operation: 59-5=54, Resulting Numbers: [70, 54]
Generated Node #0,0,0: 73:[70, 54] Operation: 59-5=54
Exploring Operation: 59+5=64, Resulting Numbers: [70, 64]
Generated Node #0,0,1: 73:[70, 64] Operation: 59+5=64
Exploring Operation: 70-5=65, Resulting Numbers: [59, 65]
Generated Node #0,0,2: 73:[59, 65] Operation: 70-5=65
Exploring Operation: 70+5=75, Resulting Numbers: [59, 75]
Generated Node #0,0,3: 73:[59, 75] Operation: 70+5=75
Exploring Operation: 70/5=14, Resulting Numbers: [59, 14]
Generated Node #0,0,4: 73:[59, 14] Operation: 70/5=14
Moving to Node #0,0,1
Current State: 73:[70, 64], Operations: ['49-44=5', '59+5=64']
Exploring Operation: 70*64=4480, Resulting Numbers: [4480]
4480,73 unequal: No Solution
Exploring Operation: 70-64=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 70+64=134, Resulting Numbers: [134]
134,73 unequal: No Solution
Moving to Node #0,0,3
Current State: 73:[59, 75], Operations: ['49-44=5', '70+5=75']
Exploring Operation: 75-59=16, Resulting Numbers: [16]
16,73 unequal: No Solution
Exploring Operation: 59*75=4425, Resulting Numbers: [4425]
4425,73 unequal: No Solution
Exploring Operation: 59+75=134, Resulting Numbers: [134]
134,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[70, 54], Operations: ['49-44=5', '59-5=54']
Exploring Operation: 70*54=3780, Resulting Numbers: [3780]
3780,73 unequal: No Solution
Exploring Operation: 70-54=16, Resulting Numbers: [16]
16,73 unequal: No Solution
Exploring Operation: 70+54=124, Resulting Numbers: [124]
124,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[59, 65], Operations: ['49-44=5', '70-5=65']
Exploring Operation: 59*65=3835, Resulting Numbers: [3835]
3835,73 unequal: No Solution
Exploring Operation: 65-59=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 59+65=124, Resulting Numbers: [124]
124,73 unequal: No Solution
Moving to Node #0,0,4
Current State: 73:[59, 14], Operations: ['49-44=5', '70/5=14']
Exploring Operation: 59-14=45, Resulting Numbers: [45]
45,73 unequal: No Solution
Exploring Operation: 59*14=826, Resulting Numbers: [826]
826,73 unequal: No Solution
Exploring Operation: 59+14=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[49, 44, 70, 59], Operations: []
Exploring Operation: 49-44=5, Resulting Numbers: [70, 59, 5]
Generated Node #0,0: 73:[70, 59, 5] Operation: 49-44=5
Moving to Node #0,0
Current State: 73:[70, 59, 5], Operations: ['49-44=5']
Exploring Operation: 70/5=14, Resulting Numbers: [59, 14]
Generated Node #0,0,4: 73:[59, 14] Operation: 70/5=14
Moving to Node #0,0,4
Current State: 73:[59, 14], Operations: ['49-44=5', '70/5=14']
Exploring Operation: 59+14=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.905382 | hs_5 | mult_heuristic |
[
72,
76,
5,
25
] | 34 | [
"76-72=4",
"5+25=30",
"4+30=34"
] | Current State: 34:[72, 76, 5, 25], Operations: []
Exploring Operation: 76-72=4, Resulting Numbers: [5, 25, 4]
Generated Node #2: [5, 25, 4] from Operation: 76-72=4
Current State: 34:[5, 25, 4], Operations: ['76-72=4']
Exploring Operation: 5+25=30, Resulting Numbers: [4, 30]
Generated Node #3: [4, 30] from Operation: 5+25=30
Current State: 34:[4, 30], Operations: ['76-72=4', '5+25=30']
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[72, 76, 5, 25], Operations: []
Exploring Operation: 76-5=71, Resulting Numbers: [72, 25, 71]
Generated Node #0,0: 34:[72, 25, 71] Operation: 76-5=71
Exploring Operation: 76-72=4, Resulting Numbers: [5, 25, 4]
Generated Node #0,1: 34:[5, 25, 4] Operation: 76-72=4
Exploring Operation: 72-25=47, Resulting Numbers: [76, 5, 47]
Generated Node #0,2: 34:[76, 5, 47] Operation: 72-25=47
Exploring Operation: 76-25=51, Resulting Numbers: [72, 5, 51]
Generated Node #0,3: 34:[72, 5, 51] Operation: 76-25=51
Exploring Operation: 72-5=67, Resulting Numbers: [76, 25, 67]
Generated Node #0,4: 34:[76, 25, 67] Operation: 72-5=67
Start Sub Search at level 1: Moving to Node #0,1
Current State: 34:[5, 25, 4], Operations: ['76-72=4']
Exploring Operation: 25+4=29, Resulting Numbers: [5, 29]
Generated Node #0,1,0: 34:[5, 29] Operation: 25+4=29
Exploring Operation: 25-5=20, Resulting Numbers: [4, 20]
Generated Node #0,1,1: 34:[4, 20] Operation: 25-5=20
Exploring Operation: 5+25=30, Resulting Numbers: [4, 30]
Generated Node #0,1,2: 34:[4, 30] Operation: 5+25=30
Exploring Operation: 25/5=5, Resulting Numbers: [4, 5]
Generated Node #0,1,3: 34:[4, 5] Operation: 25/5=5
Exploring Operation: 25-4=21, Resulting Numbers: [5, 21]
Generated Node #0,1,4: 34:[5, 21] Operation: 25-4=21
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 34:[4, 20], Operations: ['76-72=4', '25-5=20']
Exploring Operation: 4*20=80, Resulting Numbers: [80]
80,34 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,34 unequal: No Solution
Exploring Operation: 4+20=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,34 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: 34:[4, 5], Operations: ['76-72=4', '25/5=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,34 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,34 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,34 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: 34:[4, 30], Operations: ['76-72=4', '5+25=30']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,34 unequal: No Solution
Exploring Operation: 4*30=120, Resulting Numbers: [120]
120,34 unequal: No Solution
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[72, 76, 5, 25], Operations: []
Exploring Operation: 76-72=4, Resulting Numbers: [5, 25, 4]
Generated Node #0,1: 34:[5, 25, 4] Operation: 76-72=4
Moving to Node #0,1
Current State: 34:[5, 25, 4], Operations: ['76-72=4']
Exploring Operation: 5+25=30, Resulting Numbers: [4, 30]
Generated Node #0,1,2: 34:[4, 30] Operation: 5+25=30
Moving to Node #0,1,2
Current State: 34:[4, 30], Operations: ['76-72=4', '5+25=30']
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.979167 | hs_5 | mult_heuristic |
[
48,
3,
24,
59
] | 65 | [
"48*3=144",
"144/24=6",
"59+6=65"
] | Current State: 65:[48, 3, 24, 59], Operations: []
Exploring Operation: 48*3=144, Resulting Numbers: [24, 59, 144]
Generated Node #2: [24, 59, 144] from Operation: 48*3=144
Current State: 65:[24, 59, 144], Operations: ['48*3=144']
Exploring Operation: 144/24=6, Resulting Numbers: [59, 6]
Generated Node #3: [59, 6] from Operation: 144/24=6
Current State: 65:[59, 6], Operations: ['48*3=144', '144/24=6']
Exploring Operation: 59+6=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[48, 3, 24, 59], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [3, 59, 2]
Generated Node #0,0: 65:[3, 59, 2] Operation: 48/24=2
Moving to Node #0,0
Current State: 65:[3, 59, 2], Operations: ['48/24=2']
Exploring Operation: 3+59=62, Resulting Numbers: [2, 62]
Generated Node #0,0,0: 65:[2, 62] Operation: 3+59=62
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 65:[2, 62], Operations: ['48/24=2', '3+59=62']
Exploring Operation: 2+62=64, Resulting Numbers: [64]
64,65 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 |
[
36,
22,
2,
55
] | 67 | [
"36-22=14",
"55-2=53",
"14+53=67"
] | Current State: 67:[36, 22, 2, 55], Operations: []
Exploring Operation: 36-22=14, Resulting Numbers: [2, 55, 14]
Generated Node #2: [2, 55, 14] from Operation: 36-22=14
Current State: 67:[2, 55, 14], Operations: ['36-22=14']
Exploring Operation: 55-2=53, Resulting Numbers: [14, 53]
Generated Node #3: [14, 53] from Operation: 55-2=53
Current State: 67:[14, 53], Operations: ['36-22=14', '55-2=53']
Exploring Operation: 14+53=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[36, 22, 2, 55], Operations: []
Exploring Operation: 36*2=72, Resulting Numbers: [22, 55, 72]
Generated Node #0,0: 67:[22, 55, 72] Operation: 36*2=72
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[22, 55, 72], Operations: ['36*2=72']
Exploring Operation: 22+55=77, Resulting Numbers: [72, 77]
Generated Node #0,0,0: 67:[72, 77] Operation: 22+55=77
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 67:[72, 77], Operations: ['36*2=72', '22+55=77']
Exploring Operation: 77-72=5, Resulting Numbers: [5]
5,67 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
No solution found.
| 0 | hs_1 | sum_heuristic |
[
37,
14,
35,
7
] | 96 | [
"37-35=2",
"14*7=98",
"98-2=96"
] | Current State: 96:[37, 14, 35, 7], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [14, 7, 2]
Generated Node #2: [14, 7, 2] from Operation: 37-35=2
Current State: 96:[14, 7, 2], Operations: ['37-35=2']
Exploring Operation: 14*7=98, Resulting Numbers: [2, 98]
Generated Node #3: [2, 98] from Operation: 14*7=98
Current State: 96:[2, 98], Operations: ['37-35=2', '14*7=98']
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[37, 14, 35, 7], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [14, 7, 2]
Generated Node #0,0: 96:[14, 7, 2] Operation: 37-35=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[14, 7, 2], Operations: ['37-35=2']
Exploring Operation: 14/7=2, Resulting Numbers: [2, 2]
Generated Node #0,0,0: 96:[2, 2] Operation: 14/7=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 96:[2, 2], Operations: ['37-35=2', '14/7=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,96 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
No solution found.
| 0 | hs_1 | mult_heuristic |
[
67,
88,
98,
18
] | 84 | [
"88-67=21",
"98*18=1764",
"1764/21=84"
] | Current State: 84:[67, 88, 98, 18], Operations: []
Exploring Operation: 88-67=21, Resulting Numbers: [98, 18, 21]
Generated Node #2: [98, 18, 21] from Operation: 88-67=21
Current State: 84:[98, 18, 21], Operations: ['88-67=21']
Exploring Operation: 98*18=1764, Resulting Numbers: [21, 1764]
Generated Node #3: [21, 1764] from Operation: 98*18=1764
Current State: 84:[21, 1764], Operations: ['88-67=21', '98*18=1764']
Exploring Operation: 1764/21=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[67, 88, 98, 18], Operations: []
Exploring Operation: 98-67=31, Resulting Numbers: [88, 18, 31]
Generated Node #0,0: 84:[88, 18, 31] Operation: 98-67=31
Exploring Operation: 88-67=21, Resulting Numbers: [98, 18, 21]
Generated Node #0,1: 84:[98, 18, 21] Operation: 88-67=21
Moving to Node #0,0
Current State: 84:[88, 18, 31], Operations: ['98-67=31']
Exploring Operation: 18+31=49, Resulting Numbers: [88, 49]
Generated Node #0,0,0: 84:[88, 49] Operation: 18+31=49
Exploring Operation: 31-18=13, Resulting Numbers: [88, 13]
Generated Node #0,0,1: 84:[88, 13] Operation: 31-18=13
Moving to Node #0,1
Current State: 84:[98, 18, 21], Operations: ['88-67=21']
Exploring Operation: 98-18=80, Resulting Numbers: [21, 80]
Generated Node #0,1,0: 84:[21, 80] Operation: 98-18=80
Exploring Operation: 98-21=77, Resulting Numbers: [18, 77]
Generated Node #0,1,1: 84:[18, 77] Operation: 98-21=77
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 84:[21, 80], Operations: ['88-67=21', '98-18=80']
Exploring Operation: 21+80=101, Resulting Numbers: [101]
101,84 unequal: No Solution
Exploring Operation: 80-21=59, Resulting Numbers: [59]
59,84 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: 84:[18, 77], Operations: ['88-67=21', '98-21=77']
Exploring Operation: 18+77=95, Resulting Numbers: [95]
95,84 unequal: No Solution
Exploring Operation: 77-18=59, Resulting Numbers: [59]
59,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 84:[88, 13], Operations: ['98-67=31', '31-18=13']
Exploring Operation: 88+13=101, Resulting Numbers: [101]
101,84 unequal: No Solution
Exploring Operation: 88-13=75, Resulting Numbers: [75]
75,84 unequal: No Solution
Moving to Node #0,0,0
Current State: 84:[88, 49], Operations: ['98-67=31', '18+31=49']
Exploring Operation: 88-49=39, Resulting Numbers: [39]
39,84 unequal: No Solution
Exploring Operation: 88+49=137, Resulting Numbers: [137]
137,84 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
51,
81,
44,
29
] | 79 | [
"51-29=22",
"44/22=2",
"81-2=79"
] | Current State: 79:[51, 81, 44, 29], Operations: []
Exploring Operation: 51-29=22, Resulting Numbers: [81, 44, 22]
Generated Node #2: [81, 44, 22] from Operation: 51-29=22
Current State: 79:[81, 44, 22], Operations: ['51-29=22']
Exploring Operation: 44/22=2, Resulting Numbers: [81, 2]
Generated Node #3: [81, 2] from Operation: 44/22=2
Current State: 79:[81, 2], Operations: ['51-29=22', '44/22=2']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[51, 81, 44, 29], Operations: []
Exploring Operation: 81-29=52, Resulting Numbers: [51, 44, 52]
Generated Node #0,0: 79:[51, 44, 52] Operation: 81-29=52
Exploring Operation: 51+44=95, Resulting Numbers: [81, 29, 95]
Generated Node #0,1: 79:[81, 29, 95] Operation: 51+44=95
Exploring Operation: 51+29=80, Resulting Numbers: [81, 44, 80]
Generated Node #0,2: 79:[81, 44, 80] Operation: 51+29=80
Exploring Operation: 51-29=22, Resulting Numbers: [81, 44, 22]
Generated Node #0,3: 79:[81, 44, 22] Operation: 51-29=22
Exploring Operation: 44+29=73, Resulting Numbers: [51, 81, 73]
Generated Node #0,4: 79:[51, 81, 73] Operation: 44+29=73
Start Sub Search at level 1: Moving to Node #0,4
Current State: 79:[51, 81, 73], Operations: ['44+29=73']
Exploring Operation: 73-51=22, Resulting Numbers: [81, 22]
Generated Node #0,4,0: 79:[81, 22] Operation: 73-51=22
Exploring Operation: 51+81=132, Resulting Numbers: [73, 132]
Generated Node #0,4,1: 79:[73, 132] Operation: 51+81=132
Exploring Operation: 81-51=30, Resulting Numbers: [73, 30]
Generated Node #0,4,2: 79:[73, 30] Operation: 81-51=30
Exploring Operation: 51+73=124, Resulting Numbers: [81, 124]
Generated Node #0,4,3: 79:[81, 124] Operation: 51+73=124
Exploring Operation: 81-73=8, Resulting Numbers: [51, 8]
Generated Node #0,4,4: 79:[51, 8] Operation: 81-73=8
Moving to Node #0,4,3
Current State: 79:[81, 124], Operations: ['44+29=73', '51+73=124']
Exploring Operation: 81+124=205, Resulting Numbers: [205]
205,79 unequal: No Solution
Exploring Operation: 124-81=43, Resulting Numbers: [43]
43,79 unequal: No Solution
Exploring Operation: 81*124=10044, Resulting Numbers: [10044]
10044,79 unequal: No Solution
Moving to Node #0,4,2
Current State: 79:[73, 30], Operations: ['44+29=73', '81-51=30']
Exploring Operation: 73+30=103, Resulting Numbers: [103]
103,79 unequal: No Solution
Exploring Operation: 73*30=2190, Resulting Numbers: [2190]
2190,79 unequal: No Solution
Exploring Operation: 73-30=43, Resulting Numbers: [43]
43,79 unequal: No Solution
Moving to Node #0,4,0
Current State: 79:[81, 22], Operations: ['44+29=73', '73-51=22']
Exploring Operation: 81+22=103, Resulting Numbers: [103]
103,79 unequal: No Solution
Exploring Operation: 81-22=59, Resulting Numbers: [59]
59,79 unequal: No Solution
Exploring Operation: 81*22=1782, Resulting Numbers: [1782]
1782,79 unequal: No Solution
Moving to Node #0,4,1
Current State: 79:[73, 132], Operations: ['44+29=73', '51+81=132']
Exploring Operation: 73*132=9636, Resulting Numbers: [9636]
9636,79 unequal: No Solution
Exploring Operation: 73+132=205, Resulting Numbers: [205]
205,79 unequal: No Solution
Exploring Operation: 132-73=59, Resulting Numbers: [59]
59,79 unequal: No Solution
Moving to Node #0,4,4
Current State: 79:[51, 8], Operations: ['44+29=73', '81-73=8']
Exploring Operation: 51*8=408, Resulting Numbers: [408]
408,79 unequal: No Solution
Exploring Operation: 51+8=59, Resulting Numbers: [59]
59,79 unequal: No Solution
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,79 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
Current State: 79:[81, 44, 80], Operations: ['51+29=80']
Exploring Operation: 81-44=37, Resulting Numbers: [80, 37]
Generated Node #0,2,0: 79:[80, 37] Operation: 81-44=37
Exploring Operation: 81-80=1, Resulting Numbers: [44, 1]
Generated Node #0,2,1: 79:[44, 1] Operation: 81-80=1
Exploring Operation: 44+80=124, Resulting Numbers: [81, 124]
Generated Node #0,2,2: 79:[81, 124] Operation: 44+80=124
Exploring Operation: 81+44=125, Resulting Numbers: [80, 125]
Generated Node #0,2,3: 79:[80, 125] Operation: 81+44=125
Exploring Operation: 80-44=36, Resulting Numbers: [81, 36]
Generated Node #0,2,4: 79:[81, 36] Operation: 80-44=36
Moving to Node #0,2,0
Current State: 79:[80, 37], Operations: ['51+29=80', '81-44=37']
Exploring Operation: 80*37=2960, Resulting Numbers: [2960]
2960,79 unequal: No Solution
Exploring Operation: 80+37=117, Resulting Numbers: [117]
117,79 unequal: No Solution
Exploring Operation: 80-37=43, Resulting Numbers: [43]
43,79 unequal: No Solution
Moving to Node #0,2,4
Current State: 79:[81, 36], Operations: ['51+29=80', '80-44=36']
Exploring Operation: 81+36=117, Resulting Numbers: [117]
117,79 unequal: No Solution
Exploring Operation: 81-36=45, Resulting Numbers: [45]
45,79 unequal: No Solution
Exploring Operation: 81*36=2916, Resulting Numbers: [2916]
2916,79 unequal: No Solution
Moving to Node #0,2,2
Current State: 79:[81, 124], Operations: ['51+29=80', '44+80=124']
Exploring Operation: 81*124=10044, Resulting Numbers: [10044]
10044,79 unequal: No Solution
Exploring Operation: 124-81=43, Resulting Numbers: [43]
43,79 unequal: No Solution
Exploring Operation: 81+124=205, Resulting Numbers: [205]
205,79 unequal: No Solution
Moving to Node #0,2,3
Current State: 79:[80, 125], Operations: ['51+29=80', '81+44=125']
Exploring Operation: 80+125=205, Resulting Numbers: [205]
205,79 unequal: No Solution
Exploring Operation: 125-80=45, Resulting Numbers: [45]
45,79 unequal: No Solution
Exploring Operation: 80*125=10000, Resulting Numbers: [10000]
10000,79 unequal: No Solution
Moving to Node #0,2,1
Current State: 79:[44, 1], Operations: ['51+29=80', '81-80=1']
Exploring Operation: 44*1=44, Resulting Numbers: [44]
44,79 unequal: No Solution
Exploring Operation: 44/1=44, Resulting Numbers: [44]
44,79 unequal: No Solution
Exploring Operation: 44+1=45, Resulting Numbers: [45]
45,79 unequal: No Solution
Exploring Operation: 44-1=43, Resulting Numbers: [43]
43,79 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 #0,1
Current State: 79:[81, 29, 95], Operations: ['51+44=95']
Exploring Operation: 81-29=52, Resulting Numbers: [95, 52]
Generated Node #0,1,0: 79:[95, 52] Operation: 81-29=52
Exploring Operation: 81+29=110, Resulting Numbers: [95, 110]
Generated Node #0,1,1: 79:[95, 110] Operation: 81+29=110
Exploring Operation: 29+95=124, Resulting Numbers: [81, 124]
Generated Node #0,1,2: 79:[81, 124] Operation: 29+95=124
Exploring Operation: 95-29=66, Resulting Numbers: [81, 66]
Generated Node #0,1,3: 79:[81, 66] Operation: 95-29=66
Exploring Operation: 95-81=14, Resulting Numbers: [29, 14]
Generated Node #0,1,4: 79:[29, 14] Operation: 95-81=14
Moving to Node #0,1,3
Current State: 79:[81, 66], Operations: ['51+44=95', '95-29=66']
Exploring Operation: 81-66=15, Resulting Numbers: [15]
15,79 unequal: No Solution
Exploring Operation: 81*66=5346, Resulting Numbers: [5346]
5346,79 unequal: No Solution
Exploring Operation: 81+66=147, Resulting Numbers: [147]
147,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[95, 52], Operations: ['51+44=95', '81-29=52']
Exploring Operation: 95-52=43, Resulting Numbers: [43]
43,79 unequal: No Solution
Exploring Operation: 95*52=4940, Resulting Numbers: [4940]
4940,79 unequal: No Solution
Exploring Operation: 95+52=147, Resulting Numbers: [147]
147,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[95, 110], Operations: ['51+44=95', '81+29=110']
Exploring Operation: 95+110=205, Resulting Numbers: [205]
205,79 unequal: No Solution
Exploring Operation: 110-95=15, Resulting Numbers: [15]
15,79 unequal: No Solution
Exploring Operation: 95*110=10450, Resulting Numbers: [10450]
10450,79 unequal: No Solution
Moving to Node #0,1,2
Current State: 79:[81, 124], Operations: ['51+44=95', '29+95=124']
Exploring Operation: 81+124=205, Resulting Numbers: [205]
205,79 unequal: No Solution
Exploring Operation: 124-81=43, Resulting Numbers: [43]
43,79 unequal: No Solution
Exploring Operation: 81*124=10044, Resulting Numbers: [10044]
10044,79 unequal: No Solution
Moving to Node #0,1,4
Current State: 79:[29, 14], Operations: ['51+44=95', '95-81=14']
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,79 unequal: No Solution
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,79 unequal: No Solution
Exploring Operation: 29*14=406, Resulting Numbers: [406]
406,79 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
Current State: 79:[51, 44, 52], Operations: ['81-29=52']
Exploring Operation: 51+44=95, Resulting Numbers: [52, 95]
Generated Node #0,0,0: 79:[52, 95] Operation: 51+44=95
Exploring Operation: 44+52=96, Resulting Numbers: [51, 96]
Generated Node #0,0,1: 79:[51, 96] Operation: 44+52=96
Exploring Operation: 51-44=7, Resulting Numbers: [52, 7]
Generated Node #0,0,2: 79:[52, 7] Operation: 51-44=7
Exploring Operation: 52-44=8, Resulting Numbers: [51, 8]
Generated Node #0,0,3: 79:[51, 8] Operation: 52-44=8
Exploring Operation: 51+52=103, Resulting Numbers: [44, 103]
Generated Node #0,0,4: 79:[44, 103] Operation: 51+52=103
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 79:[52, 95], Operations: ['81-29=52', '51+44=95']
Exploring Operation: 52+95=147, Resulting Numbers: [147]
147,79 unequal: No Solution
Exploring Operation: 95-52=43, Resulting Numbers: [43]
43,79 unequal: No Solution
Exploring Operation: 52*95=4940, Resulting Numbers: [4940]
4940,79 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: 79:[51, 96], Operations: ['81-29=52', '44+52=96']
Exploring Operation: 51*96=4896, Resulting Numbers: [4896]
4896,79 unequal: No Solution
Exploring Operation: 96-51=45, Resulting Numbers: [45]
45,79 unequal: No Solution
Exploring Operation: 51+96=147, Resulting Numbers: [147]
147,79 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: 79:[44, 103], Operations: ['81-29=52', '51+52=103']
Exploring Operation: 103-44=59, Resulting Numbers: [59]
59,79 unequal: No Solution
Exploring Operation: 44*103=4532, Resulting Numbers: [4532]
4532,79 unequal: No Solution
Exploring Operation: 44+103=147, Resulting Numbers: [147]
147,79 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: 79:[52, 7], Operations: ['81-29=52', '51-44=7']
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,79 unequal: No Solution
Exploring Operation: 52+7=59, Resulting Numbers: [59]
59,79 unequal: No Solution
Exploring Operation: 52*7=364, Resulting Numbers: [364]
364,79 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: 79:[51, 8], Operations: ['81-29=52', '52-44=8']
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,79 unequal: No Solution
Exploring Operation: 51*8=408, Resulting Numbers: [408]
408,79 unequal: No Solution
Exploring Operation: 51+8=59, Resulting Numbers: [59]
59,79 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: 79:[81, 44, 22], Operations: ['51-29=22']
Exploring Operation: 44+22=66, Resulting Numbers: [81, 66]
Generated Node #0,3,0: 79:[81, 66] Operation: 44+22=66
Exploring Operation: 81-22=59, Resulting Numbers: [44, 59]
Generated Node #0,3,1: 79:[44, 59] Operation: 81-22=59
Exploring Operation: 44/22=2, Resulting Numbers: [81, 2]
Generated Node #0,3,2: 79:[81, 2] Operation: 44/22=2
Exploring Operation: 44-22=22, Resulting Numbers: [81, 22]
Generated Node #0,3,3: 79:[81, 22] Operation: 44-22=22
Exploring Operation: 81+22=103, Resulting Numbers: [44, 103]
Generated Node #0,3,4: 79:[44, 103] Operation: 81+22=103
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 79:[81, 66], Operations: ['51-29=22', '44+22=66']
Exploring Operation: 81-66=15, Resulting Numbers: [15]
15,79 unequal: No Solution
Exploring Operation: 81+66=147, Resulting Numbers: [147]
147,79 unequal: No Solution
Exploring Operation: 81*66=5346, Resulting Numbers: [5346]
5346,79 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: 79:[44, 59], Operations: ['51-29=22', '81-22=59']
Exploring Operation: 59-44=15, Resulting Numbers: [15]
15,79 unequal: No Solution
Exploring Operation: 44+59=103, Resulting Numbers: [103]
103,79 unequal: No Solution
Exploring Operation: 44*59=2596, Resulting Numbers: [2596]
2596,79 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: 79:[81, 22], Operations: ['51-29=22', '44-22=22']
Exploring Operation: 81+22=103, Resulting Numbers: [103]
103,79 unequal: No Solution
Exploring Operation: 81*22=1782, Resulting Numbers: [1782]
1782,79 unequal: No Solution
Exploring Operation: 81-22=59, Resulting Numbers: [59]
59,79 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: 79:[44, 103], Operations: ['51-29=22', '81+22=103']
Exploring Operation: 44*103=4532, Resulting Numbers: [4532]
4532,79 unequal: No Solution
Exploring Operation: 44+103=147, Resulting Numbers: [147]
147,79 unequal: No Solution
Exploring Operation: 103-44=59, Resulting Numbers: [59]
59,79 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: 79:[81, 2], Operations: ['51-29=22', '44/22=2']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[51, 81, 44, 29], Operations: []
Exploring Operation: 51-29=22, Resulting Numbers: [81, 44, 22]
Generated Node #0,3: 79:[81, 44, 22] Operation: 51-29=22
Moving to Node #0,3
Current State: 79:[81, 44, 22], Operations: ['51-29=22']
Exploring Operation: 44/22=2, Resulting Numbers: [81, 2]
Generated Node #0,3,2: 79:[81, 2] Operation: 44/22=2
Moving to Node #0,3,2
Current State: 79:[81, 2], Operations: ['51-29=22', '44/22=2']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.90625 | hs_5 | mult_heuristic |
[
5,
58,
44,
49
] | 48 | [
"58-5=53",
"49-44=5",
"53-5=48"
] | Current State: 48:[5, 58, 44, 49], Operations: []
Exploring Operation: 58-5=53, Resulting Numbers: [44, 49, 53]
Generated Node #2: [44, 49, 53] from Operation: 58-5=53
Current State: 48:[44, 49, 53], Operations: ['58-5=53']
Exploring Operation: 49-44=5, Resulting Numbers: [53, 5]
Generated Node #3: [53, 5] from Operation: 49-44=5
Current State: 48:[53, 5], Operations: ['58-5=53', '49-44=5']
Exploring Operation: 53-5=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[5, 58, 44, 49], Operations: []
Exploring Operation: 58-49=9, Resulting Numbers: [5, 44, 9]
Generated Node #0,0: 48:[5, 44, 9] Operation: 58-49=9
Exploring Operation: 49-44=5, Resulting Numbers: [5, 58, 5]
Generated Node #0,1: 48:[5, 58, 5] Operation: 49-44=5
Exploring Operation: 58-44=14, Resulting Numbers: [5, 49, 14]
Generated Node #0,2: 48:[5, 49, 14] Operation: 58-44=14
Exploring Operation: 5+44=49, Resulting Numbers: [58, 49, 49]
Generated Node #0,3: 48:[58, 49, 49] Operation: 5+44=49
Exploring Operation: 58-5=53, Resulting Numbers: [44, 49, 53]
Generated Node #0,4: 48:[44, 49, 53] Operation: 58-5=53
Moving to Node #0,2
Current State: 48:[5, 49, 14], Operations: ['58-44=14']
Exploring Operation: 49-14=35, Resulting Numbers: [5, 35]
Generated Node #0,2,0: 48:[5, 35] Operation: 49-14=35
Exploring Operation: 14-5=9, Resulting Numbers: [49, 9]
Generated Node #0,2,1: 48:[49, 9] Operation: 14-5=9
Exploring Operation: 5+49=54, Resulting Numbers: [14, 54]
Generated Node #0,2,2: 48:[14, 54] Operation: 5+49=54
Exploring Operation: 5+14=19, Resulting Numbers: [49, 19]
Generated Node #0,2,3: 48:[49, 19] Operation: 5+14=19
Exploring Operation: 49-5=44, Resulting Numbers: [14, 44]
Generated Node #0,2,4: 48:[14, 44] Operation: 49-5=44
Moving to Node #0,0
Current State: 48:[5, 44, 9], Operations: ['58-49=9']
Exploring Operation: 5+9=14, Resulting Numbers: [44, 14]
Generated Node #0,0,0: 48:[44, 14] Operation: 5+9=14
Exploring Operation: 5*9=45, Resulting Numbers: [44, 45]
Generated Node #0,0,1: 48:[44, 45] Operation: 5*9=45
Exploring Operation: 44+9=53, Resulting Numbers: [5, 53]
Generated Node #0,0,2: 48:[5, 53] Operation: 44+9=53
Exploring Operation: 9-5=4, Resulting Numbers: [44, 4]
Generated Node #0,0,3: 48:[44, 4] Operation: 9-5=4
Exploring Operation: 5+44=49, Resulting Numbers: [9, 49]
Generated Node #0,0,4: 48:[9, 49] Operation: 5+44=49
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 48:[9, 49], Operations: ['58-49=9', '5+44=49']
Exploring Operation: 9+49=58, Resulting Numbers: [58]
58,48 unequal: No Solution
Exploring Operation: 9*49=441, Resulting Numbers: [441]
441,48 unequal: No Solution
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,48 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: 48:[44, 4], Operations: ['58-49=9', '9-5=4']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,48 unequal: No Solution
Exploring Operation: 44*4=176, Resulting Numbers: [176]
176,48 unequal: No Solution
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,48 unequal: No Solution
Exploring Operation: 44+4=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[5, 58, 44, 49], Operations: []
Exploring Operation: 58-49=9, Resulting Numbers: [5, 44, 9]
Generated Node #0,0: 48:[5, 44, 9] Operation: 58-49=9
Moving to Node #0,0
Current State: 48:[5, 44, 9], Operations: ['58-49=9']
Exploring Operation: 9-5=4, Resulting Numbers: [44, 4]
Generated Node #0,0,3: 48:[44, 4] Operation: 9-5=4
Moving to Node #0,0,3
Current State: 48:[44, 4], Operations: ['58-49=9', '9-5=4']
Exploring Operation: 44+4=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_5 | sum_heuristic |
[
85,
81,
11,
83
] | 76 | [
"85-81=4",
"83-11=72",
"4+72=76"
] | Current State: 76:[85, 81, 11, 83], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [11, 83, 4]
Generated Node #2: [11, 83, 4] from Operation: 85-81=4
Current State: 76:[11, 83, 4], Operations: ['85-81=4']
Exploring Operation: 83-11=72, Resulting Numbers: [4, 72]
Generated Node #3: [4, 72] from Operation: 83-11=72
Current State: 76:[4, 72], Operations: ['85-81=4', '83-11=72']
Exploring Operation: 4+72=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[85, 81, 11, 83], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [81, 11, 2]
Generated Node #0,0: 76:[81, 11, 2] Operation: 85-83=2
Exploring Operation: 85-81=4, Resulting Numbers: [11, 83, 4]
Generated Node #0,1: 76:[11, 83, 4] Operation: 85-81=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[81, 11, 2], Operations: ['85-83=2']
Exploring Operation: 81-11=70, Resulting Numbers: [2, 70]
Generated Node #0,0,0: 76:[2, 70] Operation: 81-11=70
Exploring Operation: 11*2=22, Resulting Numbers: [81, 22]
Generated Node #0,0,1: 76:[81, 22] Operation: 11*2=22
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[2, 70], Operations: ['85-83=2', '81-11=70']
Exploring Operation: 2+70=72, Resulting Numbers: [72]
72,76 unequal: No Solution
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,76 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: 76:[81, 22], Operations: ['85-83=2', '11*2=22']
Exploring Operation: 81+22=103, Resulting Numbers: [103]
103,76 unequal: No Solution
Exploring Operation: 81-22=59, Resulting Numbers: [59]
59,76 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
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[11, 83, 4], Operations: ['85-81=4']
Exploring Operation: 83-11=72, Resulting Numbers: [4, 72]
Generated Node #0,1,0: 76:[4, 72] Operation: 83-11=72
Exploring Operation: 11-4=7, Resulting Numbers: [83, 7]
Generated Node #0,1,1: 76:[83, 7] Operation: 11-4=7
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 76:[4, 72], Operations: ['85-81=4', '83-11=72']
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,76 unequal: No Solution
Exploring Operation: 4+72=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[85, 81, 11, 83], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [11, 83, 4]
Generated Node #0,1: 76:[11, 83, 4] Operation: 85-81=4
Moving to Node #0,1
Current State: 76:[11, 83, 4], Operations: ['85-81=4']
Exploring Operation: 83-11=72, Resulting Numbers: [4, 72]
Generated Node #0,1,0: 76:[4, 72] Operation: 83-11=72
Moving to Node #0,1,0
Current State: 76:[4, 72], Operations: ['85-81=4', '83-11=72']
Exploring Operation: 4+72=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
23,
47,
36,
40
] | 100 | [
"47-23=24",
"36+40=76",
"24+76=100"
] | Current State: 100:[23, 47, 36, 40], Operations: []
Exploring Operation: 47-23=24, Resulting Numbers: [36, 40, 24]
Generated Node #2: [36, 40, 24] from Operation: 47-23=24
Current State: 100:[36, 40, 24], Operations: ['47-23=24']
Exploring Operation: 36+40=76, Resulting Numbers: [24, 76]
Generated Node #3: [24, 76] from Operation: 36+40=76
Current State: 100:[24, 76], Operations: ['47-23=24', '36+40=76']
Exploring Operation: 24+76=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[23, 47, 36, 40], Operations: []
Exploring Operation: 47-40=7, Resulting Numbers: [23, 36, 7]
Generated Node #0,0: 100:[23, 36, 7] Operation: 47-40=7
Exploring Operation: 47-36=11, Resulting Numbers: [23, 40, 11]
Generated Node #0,1: 100:[23, 40, 11] Operation: 47-36=11
Exploring Operation: 40-36=4, Resulting Numbers: [23, 47, 4]
Generated Node #0,2: 100:[23, 47, 4] Operation: 40-36=4
Exploring Operation: 36-23=13, Resulting Numbers: [47, 40, 13]
Generated Node #0,3: 100:[47, 40, 13] Operation: 36-23=13
Moving to Node #0,2
Current State: 100:[23, 47, 4], Operations: ['40-36=4']
Exploring Operation: 23-4=19, Resulting Numbers: [47, 19]
Generated Node #0,2,0: 100:[47, 19] Operation: 23-4=19
Exploring Operation: 47+4=51, Resulting Numbers: [23, 51]
Generated Node #0,2,1: 100:[23, 51] Operation: 47+4=51
Exploring Operation: 23+4=27, Resulting Numbers: [47, 27]
Generated Node #0,2,2: 100:[47, 27] Operation: 23+4=27
Exploring Operation: 47-23=24, Resulting Numbers: [4, 24]
Generated Node #0,2,3: 100:[4, 24] Operation: 47-23=24
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 100:[4, 24], Operations: ['40-36=4', '47-23=24']
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 4*24=96, Resulting Numbers: [96]
96,100 unequal: No Solution
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,100 unequal: No Solution
Exploring Operation: 4+24=28, Resulting Numbers: [28]
28,100 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 #0,2,1
Current State: 100:[23, 51], Operations: ['40-36=4', '47+4=51']
Exploring Operation: 23+51=74, Resulting Numbers: [74]
74,100 unequal: No Solution
Exploring Operation: 23*51=1173, Resulting Numbers: [1173]
1173,100 unequal: No Solution
Exploring Operation: 51-23=28, Resulting Numbers: [28]
28,100 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 #0,2,0
Current State: 100:[47, 19], Operations: ['40-36=4', '23-4=19']
Exploring Operation: 47*19=893, Resulting Numbers: [893]
893,100 unequal: No Solution
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,100 unequal: No Solution
Exploring Operation: 47+19=66, Resulting Numbers: [66]
66,100 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 #0,2,2
Current State: 100:[47, 27], Operations: ['40-36=4', '23+4=27']
Exploring Operation: 47-27=20, Resulting Numbers: [20]
20,100 unequal: No Solution
Exploring Operation: 47*27=1269, Resulting Numbers: [1269]
1269,100 unequal: No Solution
Exploring Operation: 47+27=74, Resulting Numbers: [74]
74,100 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: 100:[23, 40, 11], Operations: ['47-36=11']
Exploring Operation: 40-11=29, Resulting Numbers: [23, 29]
Generated Node #0,1,0: 100:[23, 29] Operation: 40-11=29
Exploring Operation: 40+11=51, Resulting Numbers: [23, 51]
Generated Node #0,1,1: 100:[23, 51] Operation: 40+11=51
Exploring Operation: 40-23=17, Resulting Numbers: [11, 17]
Generated Node #0,1,2: 100:[11, 17] Operation: 40-23=17
Exploring Operation: 23-11=12, Resulting Numbers: [40, 12]
Generated Node #0,1,3: 100:[40, 12] Operation: 23-11=12
Moving to Node #0,0
Current State: 100:[23, 36, 7], Operations: ['47-40=7']
Exploring Operation: 36-23=13, Resulting Numbers: [7, 13]
Generated Node #0,0,0: 100:[7, 13] Operation: 36-23=13
Exploring Operation: 36-7=29, Resulting Numbers: [23, 29]
Generated Node #0,0,1: 100:[23, 29] Operation: 36-7=29
Exploring Operation: 23+36=59, Resulting Numbers: [7, 59]
Generated Node #0,0,2: 100:[7, 59] Operation: 23+36=59
Exploring Operation: 36+7=43, Resulting Numbers: [23, 43]
Generated Node #0,0,3: 100:[23, 43] Operation: 36+7=43
Moving to Node #0,3
Current State: 100:[47, 40, 13], Operations: ['36-23=13']
Exploring Operation: 40-13=27, Resulting Numbers: [47, 27]
Generated Node #0,3,0: 100:[47, 27] Operation: 40-13=27
Exploring Operation: 47-40=7, Resulting Numbers: [13, 7]
Generated Node #0,3,1: 100:[13, 7] Operation: 47-40=7
Exploring Operation: 40+13=53, Resulting Numbers: [47, 53]
Generated Node #0,3,2: 100:[47, 53] Operation: 40+13=53
Exploring Operation: 47+40=87, Resulting Numbers: [13, 87]
Generated Node #0,3,3: 100:[13, 87] Operation: 47+40=87
Moving to Node #0,1,1
Current State: 100:[23, 51], Operations: ['47-36=11', '40+11=51']
Exploring Operation: 23+51=74, Resulting Numbers: [74]
74,100 unequal: No Solution
Exploring Operation: 23*51=1173, Resulting Numbers: [1173]
1173,100 unequal: No Solution
Exploring Operation: 51-23=28, Resulting Numbers: [28]
28,100 unequal: No Solution
Moving to Node #0,1,2
Current State: 100:[11, 17], Operations: ['47-36=11', '40-23=17']
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 11*17=187, Resulting Numbers: [187]
187,100 unequal: No Solution
Exploring Operation: 11+17=28, Resulting Numbers: [28]
28,100 unequal: No Solution
Moving to Node #0,0,0
Current State: 100:[7, 13], Operations: ['47-40=7', '36-23=13']
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,100 unequal: No Solution
Exploring Operation: 7+13=20, Resulting Numbers: [20]
20,100 unequal: No Solution
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Moving to Node #0,3,1
Current State: 100:[13, 7], Operations: ['36-23=13', '47-40=7']
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,100 unequal: No Solution
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 13+7=20, Resulting Numbers: [20]
20,100 unequal: No Solution
Moving to Node #0,3,0
Current State: 100:[47, 27], Operations: ['36-23=13', '40-13=27']
Exploring Operation: 47*27=1269, Resulting Numbers: [1269]
1269,100 unequal: No Solution
Exploring Operation: 47+27=74, Resulting Numbers: [74]
74,100 unequal: No Solution
Exploring Operation: 47-27=20, Resulting Numbers: [20]
20,100 unequal: No Solution
Moving to Node #0,1,0
Current State: 100:[23, 29], Operations: ['47-36=11', '40-11=29']
Exploring Operation: 29-23=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 23+29=52, Resulting Numbers: [52]
52,100 unequal: No Solution
Exploring Operation: 23*29=667, Resulting Numbers: [667]
667,100 unequal: No Solution
Moving to Node #0,0,1
Current State: 100:[23, 29], Operations: ['47-40=7', '36-7=29']
Exploring Operation: 23+29=52, Resulting Numbers: [52]
52,100 unequal: No Solution
Exploring Operation: 29-23=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 23*29=667, Resulting Numbers: [667]
667,100 unequal: No Solution
Moving to Node #0,3,2
Current State: 100:[47, 53], Operations: ['36-23=13', '40+13=53']
Exploring Operation: 47+53=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[23, 47, 36, 40], Operations: []
Exploring Operation: 36-23=13, Resulting Numbers: [47, 40, 13]
Generated Node #0,3: 100:[47, 40, 13] Operation: 36-23=13
Moving to Node #0,3
Current State: 100:[47, 40, 13], Operations: ['36-23=13']
Exploring Operation: 40+13=53, Resulting Numbers: [47, 53]
Generated Node #0,3,2: 100:[47, 53] Operation: 40+13=53
Moving to Node #0,3,2
Current State: 100:[47, 53], Operations: ['36-23=13', '40+13=53']
Exploring Operation: 47+53=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 0.948785 | hs_4 | mult_heuristic |
[
32,
49,
10,
8
] | 56 | [
"49-32=17",
"17-10=7",
"8*7=56"
] | Current State: 56:[32, 49, 10, 8], Operations: []
Exploring Operation: 49-32=17, Resulting Numbers: [10, 8, 17]
Generated Node #2: [10, 8, 17] from Operation: 49-32=17
Current State: 56:[10, 8, 17], Operations: ['49-32=17']
Exploring Operation: 17-10=7, Resulting Numbers: [8, 7]
Generated Node #3: [8, 7] from Operation: 17-10=7
Current State: 56:[8, 7], Operations: ['49-32=17', '17-10=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[32, 49, 10, 8], Operations: []
Exploring Operation: 49-32=17, Resulting Numbers: [10, 8, 17]
Generated Node #0,0: 56:[10, 8, 17] Operation: 49-32=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[10, 8, 17], Operations: ['49-32=17']
Exploring Operation: 17-10=7, Resulting Numbers: [8, 7]
Generated Node #0,0,0: 56:[8, 7] Operation: 17-10=7
Moving to Node #0,0,0
Current State: 56:[8, 7], Operations: ['49-32=17', '17-10=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[32, 49, 10, 8], Operations: []
Exploring Operation: 49-32=17, Resulting Numbers: [10, 8, 17]
Generated Node #0,0: 56:[10, 8, 17] Operation: 49-32=17
Moving to Node #0,0
Current State: 56:[10, 8, 17], Operations: ['49-32=17']
Exploring Operation: 17-10=7, Resulting Numbers: [8, 7]
Generated Node #0,0,0: 56:[8, 7] Operation: 17-10=7
Moving to Node #0,0,0
Current State: 56:[8, 7], Operations: ['49-32=17', '17-10=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
66,
89,
86,
24
] | 85 | [
"89-66=23",
"86-24=62",
"23+62=85"
] | Current State: 85:[66, 89, 86, 24], Operations: []
Exploring Operation: 89-66=23, Resulting Numbers: [86, 24, 23]
Generated Node #2: [86, 24, 23] from Operation: 89-66=23
Current State: 85:[86, 24, 23], Operations: ['89-66=23']
Exploring Operation: 86-24=62, Resulting Numbers: [23, 62]
Generated Node #3: [23, 62] from Operation: 86-24=62
Current State: 85:[23, 62], Operations: ['89-66=23', '86-24=62']
Exploring Operation: 23+62=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[66, 89, 86, 24], Operations: []
Exploring Operation: 66-24=42, Resulting Numbers: [89, 86, 42]
Generated Node #0,0: 85:[89, 86, 42] Operation: 66-24=42
Exploring Operation: 89-66=23, Resulting Numbers: [86, 24, 23]
Generated Node #0,1: 85:[86, 24, 23] Operation: 89-66=23
Exploring Operation: 89-86=3, Resulting Numbers: [66, 24, 3]
Generated Node #0,2: 85:[66, 24, 3] Operation: 89-86=3
Exploring Operation: 66+24=90, Resulting Numbers: [89, 86, 90]
Generated Node #0,3: 85:[89, 86, 90] Operation: 66+24=90
Exploring Operation: 86-66=20, Resulting Numbers: [89, 24, 20]
Generated Node #0,4: 85:[89, 24, 20] Operation: 86-66=20
Start Sub Search at level 1: Moving to Node #0,3
Current State: 85:[89, 86, 90], Operations: ['66+24=90']
Exploring Operation: 89+86=175, Resulting Numbers: [90, 175]
Generated Node #0,3,0: 85:[90, 175] Operation: 89+86=175
Exploring Operation: 89+90=179, Resulting Numbers: [86, 179]
Generated Node #0,3,1: 85:[86, 179] Operation: 89+90=179
Exploring Operation: 90-89=1, Resulting Numbers: [86, 1]
Generated Node #0,3,2: 85:[86, 1] Operation: 90-89=1
Exploring Operation: 90-86=4, Resulting Numbers: [89, 4]
Generated Node #0,3,3: 85:[89, 4] Operation: 90-86=4
Exploring Operation: 89-86=3, Resulting Numbers: [90, 3]
Generated Node #0,3,4: 85:[90, 3] Operation: 89-86=3
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 85:[86, 1], Operations: ['66+24=90', '90-89=1']
Exploring Operation: 86-1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[66, 89, 86, 24], Operations: []
Exploring Operation: 66+24=90, Resulting Numbers: [89, 86, 90]
Generated Node #0,3: 85:[89, 86, 90] Operation: 66+24=90
Moving to Node #0,3
Current State: 85:[89, 86, 90], Operations: ['66+24=90']
Exploring Operation: 90-89=1, Resulting Numbers: [86, 1]
Generated Node #0,3,2: 85:[86, 1] Operation: 90-89=1
Moving to Node #0,3,2
Current State: 85:[86, 1], Operations: ['66+24=90', '90-89=1']
Exploring Operation: 86-1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
18,
95,
65,
52
] | 94 | [
"95*52=4940",
"4940/65=76",
"18+76=94"
] | Current State: 94:[18, 95, 65, 52], Operations: []
Exploring Operation: 95*52=4940, Resulting Numbers: [18, 65, 4940]
Generated Node #2: [18, 65, 4940] from Operation: 95*52=4940
Current State: 94:[18, 65, 4940], Operations: ['95*52=4940']
Exploring Operation: 4940/65=76, Resulting Numbers: [18, 76]
Generated Node #3: [18, 76] from Operation: 4940/65=76
Current State: 94:[18, 76], Operations: ['95*52=4940', '4940/65=76']
Exploring Operation: 18+76=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[18, 95, 65, 52], Operations: []
Exploring Operation: 18+65=83, Resulting Numbers: [95, 52, 83]
Generated Node #0,0: 94:[95, 52, 83] Operation: 18+65=83
Exploring Operation: 65-18=47, Resulting Numbers: [95, 52, 47]
Generated Node #0,1: 94:[95, 52, 47] Operation: 65-18=47
Exploring Operation: 65-52=13, Resulting Numbers: [18, 95, 13]
Generated Node #0,2: 94:[18, 95, 13] Operation: 65-52=13
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[95, 52, 47], Operations: ['65-18=47']
Exploring Operation: 52-47=5, Resulting Numbers: [95, 5]
Generated Node #0,1,0: 94:[95, 5] Operation: 52-47=5
Exploring Operation: 95-47=48, Resulting Numbers: [52, 48]
Generated Node #0,1,1: 94:[52, 48] Operation: 95-47=48
Exploring Operation: 95-52=43, Resulting Numbers: [47, 43]
Generated Node #0,1,2: 94:[47, 43] Operation: 95-52=43
Moving to Node #0,1,0
Current State: 94:[95, 5], Operations: ['65-18=47', '52-47=5']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,94 unequal: No Solution
Exploring Operation: 95+5=100, Resulting Numbers: [100]
100,94 unequal: No Solution
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,94 unequal: No Solution
Moving to Node #0,1,2
Current State: 94:[47, 43], Operations: ['65-18=47', '95-52=43']
Exploring Operation: 47*43=2021, Resulting Numbers: [2021]
2021,94 unequal: No Solution
Exploring Operation: 47-43=4, Resulting Numbers: [4]
4,94 unequal: No Solution
Exploring Operation: 47+43=90, Resulting Numbers: [90]
90,94 unequal: No Solution
Moving to Node #0,1,1
Current State: 94:[52, 48], Operations: ['65-18=47', '95-47=48']
Exploring Operation: 52+48=100, Resulting Numbers: [100]
100,94 unequal: No Solution
Exploring Operation: 52*48=2496, Resulting Numbers: [2496]
2496,94 unequal: No Solution
Exploring Operation: 52-48=4, Resulting Numbers: [4]
4,94 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: 94:[95, 52, 83], Operations: ['18+65=83']
Exploring Operation: 95-83=12, Resulting Numbers: [52, 12]
Generated Node #0,0,0: 94:[52, 12] Operation: 95-83=12
Exploring Operation: 83-52=31, Resulting Numbers: [95, 31]
Generated Node #0,0,1: 94:[95, 31] Operation: 83-52=31
Exploring Operation: 95-52=43, Resulting Numbers: [83, 43]
Generated Node #0,0,2: 94:[83, 43] Operation: 95-52=43
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 94:[52, 12], Operations: ['18+65=83', '95-83=12']
Exploring Operation: 52+12=64, Resulting Numbers: [64]
64,94 unequal: No Solution
Exploring Operation: 52*12=624, Resulting Numbers: [624]
624,94 unequal: No Solution
Exploring Operation: 52-12=40, Resulting Numbers: [40]
40,94 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: 94:[83, 43], Operations: ['18+65=83', '95-52=43']
Exploring Operation: 83-43=40, Resulting Numbers: [40]
40,94 unequal: No Solution
Exploring Operation: 83+43=126, Resulting Numbers: [126]
126,94 unequal: No Solution
Exploring Operation: 83*43=3569, Resulting Numbers: [3569]
3569,94 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: 94:[95, 31], Operations: ['18+65=83', '83-52=31']
Exploring Operation: 95*31=2945, Resulting Numbers: [2945]
2945,94 unequal: No Solution
Exploring Operation: 95-31=64, Resulting Numbers: [64]
64,94 unequal: No Solution
Exploring Operation: 95+31=126, Resulting Numbers: [126]
126,94 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: 94:[18, 95, 13], Operations: ['65-52=13']
Exploring Operation: 18-13=5, Resulting Numbers: [95, 5]
Generated Node #0,2,0: 94:[95, 5] Operation: 18-13=5
Exploring Operation: 18+13=31, Resulting Numbers: [95, 31]
Generated Node #0,2,1: 94:[95, 31] Operation: 18+13=31
Exploring Operation: 95-18=77, Resulting Numbers: [13, 77]
Generated Node #0,2,2: 94:[13, 77] Operation: 95-18=77
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 94:[95, 5], Operations: ['65-52=13', '18-13=5']
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,94 unequal: No Solution
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,94 unequal: No Solution
Exploring Operation: 95+5=100, Resulting Numbers: [100]
100,94 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: 94:[95, 31], Operations: ['65-52=13', '18+13=31']
Exploring Operation: 95*31=2945, Resulting Numbers: [2945]
2945,94 unequal: No Solution
Exploring Operation: 95-31=64, Resulting Numbers: [64]
64,94 unequal: No Solution
Exploring Operation: 95+31=126, Resulting Numbers: [126]
126,94 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: 94:[13, 77], Operations: ['65-52=13', '95-18=77']
Exploring Operation: 13+77=90, Resulting Numbers: [90]
90,94 unequal: No Solution
Exploring Operation: 77-13=64, Resulting Numbers: [64]
64,94 unequal: No Solution
Exploring Operation: 13*77=1001, Resulting Numbers: [1001]
1001,94 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 |
[
33,
62,
80,
28
] | 90 | [
"33-28=5",
"80-62=18",
"5*18=90"
] | Current State: 90:[33, 62, 80, 28], Operations: []
Exploring Operation: 33-28=5, Resulting Numbers: [62, 80, 5]
Generated Node #2: [62, 80, 5] from Operation: 33-28=5
Current State: 90:[62, 80, 5], Operations: ['33-28=5']
Exploring Operation: 80-62=18, Resulting Numbers: [5, 18]
Generated Node #3: [5, 18] from Operation: 80-62=18
Current State: 90:[5, 18], Operations: ['33-28=5', '80-62=18']
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[33, 62, 80, 28], Operations: []
Exploring Operation: 62-28=34, Resulting Numbers: [33, 80, 34]
Generated Node #0,0: 90:[33, 80, 34] Operation: 62-28=34
Exploring Operation: 33+62=95, Resulting Numbers: [80, 28, 95]
Generated Node #0,1: 90:[80, 28, 95] Operation: 33+62=95
Exploring Operation: 80-62=18, Resulting Numbers: [33, 28, 18]
Generated Node #0,2: 90:[33, 28, 18] Operation: 80-62=18
Exploring Operation: 62-33=29, Resulting Numbers: [80, 28, 29]
Generated Node #0,3: 90:[80, 28, 29] Operation: 62-33=29
Exploring Operation: 62+28=90, Resulting Numbers: [33, 80, 90]
Generated Node #0,4: 90:[33, 80, 90] Operation: 62+28=90
Moving to Node #0,2
Current State: 90:[33, 28, 18], Operations: ['80-62=18']
Exploring Operation: 28-18=10, Resulting Numbers: [33, 10]
Generated Node #0,2,0: 90:[33, 10] Operation: 28-18=10
Exploring Operation: 28+18=46, Resulting Numbers: [33, 46]
Generated Node #0,2,1: 90:[33, 46] Operation: 28+18=46
Exploring Operation: 33-18=15, Resulting Numbers: [28, 15]
Generated Node #0,2,2: 90:[28, 15] Operation: 33-18=15
Exploring Operation: 33-28=5, Resulting Numbers: [18, 5]
Generated Node #0,2,3: 90:[18, 5] Operation: 33-28=5
Exploring Operation: 33+18=51, Resulting Numbers: [28, 51]
Generated Node #0,2,4: 90:[28, 51] Operation: 33+18=51
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 90:[18, 5], Operations: ['80-62=18', '33-28=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, 62, 80, 28], Operations: []
Exploring Operation: 80-62=18, Resulting Numbers: [33, 28, 18]
Generated Node #0,2: 90:[33, 28, 18] Operation: 80-62=18
Moving to Node #0,2
Current State: 90:[33, 28, 18], Operations: ['80-62=18']
Exploring Operation: 33-28=5, Resulting Numbers: [18, 5]
Generated Node #0,2,3: 90:[18, 5] Operation: 33-28=5
Moving to Node #0,2,3
Current State: 90:[18, 5], Operations: ['80-62=18', '33-28=5']
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
91,
74,
61,
12
] | 92 | [
"91+74=165",
"61+12=73",
"165-73=92"
] | Current State: 92:[91, 74, 61, 12], Operations: []
Exploring Operation: 91+74=165, Resulting Numbers: [61, 12, 165]
Generated Node #2: [61, 12, 165] from Operation: 91+74=165
Current State: 92:[61, 12, 165], Operations: ['91+74=165']
Exploring Operation: 61+12=73, Resulting Numbers: [165, 73]
Generated Node #3: [165, 73] from Operation: 61+12=73
Current State: 92:[165, 73], Operations: ['91+74=165', '61+12=73']
Exploring Operation: 165-73=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[91, 74, 61, 12], Operations: []
Exploring Operation: 74-61=13, Resulting Numbers: [91, 12, 13]
Generated Node #0,0: 92:[91, 12, 13] Operation: 74-61=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[91, 12, 13], Operations: ['74-61=13']
Exploring Operation: 13-12=1, Resulting Numbers: [91, 1]
Generated Node #0,0,0: 92:[91, 1] Operation: 13-12=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 92:[91, 1], Operations: ['74-61=13', '13-12=1']
Exploring Operation: 91+1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[91, 74, 61, 12], Operations: []
Exploring Operation: 74-61=13, Resulting Numbers: [91, 12, 13]
Generated Node #0,0: 92:[91, 12, 13] Operation: 74-61=13
Moving to Node #0,0
Current State: 92:[91, 12, 13], Operations: ['74-61=13']
Exploring Operation: 13-12=1, Resulting Numbers: [91, 1]
Generated Node #0,0,0: 92:[91, 1] Operation: 13-12=1
Moving to Node #0,0,0
Current State: 92:[91, 1], Operations: ['74-61=13', '13-12=1']
Exploring Operation: 91+1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
17,
14,
86,
32
] | 45 | [
"17*32=544",
"86+544=630",
"630/14=45"
] | Current State: 45:[17, 14, 86, 32], Operations: []
Exploring Operation: 17*32=544, Resulting Numbers: [14, 86, 544]
Generated Node #2: [14, 86, 544] from Operation: 17*32=544
Current State: 45:[14, 86, 544], Operations: ['17*32=544']
Exploring Operation: 86+544=630, Resulting Numbers: [14, 630]
Generated Node #3: [14, 630] from Operation: 86+544=630
Current State: 45:[14, 630], Operations: ['17*32=544', '86+544=630']
Exploring Operation: 630/14=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[17, 14, 86, 32], Operations: []
Exploring Operation: 86-17=69, Resulting Numbers: [14, 32, 69]
Generated Node #0,0: 45:[14, 32, 69] Operation: 86-17=69
Exploring Operation: 32-17=15, Resulting Numbers: [14, 86, 15]
Generated Node #0,1: 45:[14, 86, 15] Operation: 32-17=15
Exploring Operation: 86-32=54, Resulting Numbers: [17, 14, 54]
Generated Node #0,2: 45:[17, 14, 54] Operation: 86-32=54
Start Sub Search at level 1: Moving to Node #0,2
Current State: 45:[17, 14, 54], Operations: ['86-32=54']
Exploring Operation: 54-17=37, Resulting Numbers: [14, 37]
Generated Node #0,2,0: 45:[14, 37] Operation: 54-17=37
Exploring Operation: 17-14=3, Resulting Numbers: [54, 3]
Generated Node #0,2,1: 45:[54, 3] Operation: 17-14=3
Exploring Operation: 54-14=40, Resulting Numbers: [17, 40]
Generated Node #0,2,2: 45:[17, 40] Operation: 54-14=40
Moving to Node #0,2,2
Current State: 45:[17, 40], Operations: ['86-32=54', '54-14=40']
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,45 unequal: No Solution
Exploring Operation: 17*40=680, Resulting Numbers: [680]
680,45 unequal: No Solution
Exploring Operation: 17+40=57, Resulting Numbers: [57]
57,45 unequal: No Solution
Moving to Node #0,2,0
Current State: 45:[14, 37], Operations: ['86-32=54', '54-17=37']
Exploring Operation: 14*37=518, Resulting Numbers: [518]
518,45 unequal: No Solution
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,45 unequal: No Solution
Exploring Operation: 14+37=51, Resulting Numbers: [51]
51,45 unequal: No Solution
Moving to Node #0,2,1
Current State: 45:[54, 3], Operations: ['86-32=54', '17-14=3']
Exploring Operation: 54+3=57, Resulting Numbers: [57]
57,45 unequal: No Solution
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,45 unequal: No Solution
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,45 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: 45:[14, 32, 69], Operations: ['86-17=69']
Exploring Operation: 69-32=37, Resulting Numbers: [14, 37]
Generated Node #0,0,0: 45:[14, 37] Operation: 69-32=37
Exploring Operation: 14+32=46, Resulting Numbers: [69, 46]
Generated Node #0,0,1: 45:[69, 46] Operation: 14+32=46
Exploring Operation: 69-14=55, Resulting Numbers: [32, 55]
Generated Node #0,0,2: 45:[32, 55] Operation: 69-14=55
Moving to Node #0,0,0
Current State: 45:[14, 37], Operations: ['86-17=69', '69-32=37']
Exploring Operation: 14*37=518, Resulting Numbers: [518]
518,45 unequal: No Solution
Exploring Operation: 14+37=51, Resulting Numbers: [51]
51,45 unequal: No Solution
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,45 unequal: No Solution
Moving to Node #0,0,2
Current State: 45:[32, 55], Operations: ['86-17=69', '69-14=55']
Exploring Operation: 55-32=23, Resulting Numbers: [23]
23,45 unequal: No Solution
Exploring Operation: 32*55=1760, Resulting Numbers: [1760]
1760,45 unequal: No Solution
Exploring Operation: 32+55=87, Resulting Numbers: [87]
87,45 unequal: No Solution
Moving to Node #0,0,1
Current State: 45:[69, 46], Operations: ['86-17=69', '14+32=46']
Exploring Operation: 69-46=23, Resulting Numbers: [23]
23,45 unequal: No Solution
Exploring Operation: 69*46=3174, Resulting Numbers: [3174]
3174,45 unequal: No Solution
Exploring Operation: 69+46=115, Resulting Numbers: [115]
115,45 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: 45:[14, 86, 15], Operations: ['32-17=15']
Exploring Operation: 86-15=71, Resulting Numbers: [14, 71]
Generated Node #0,1,0: 45:[14, 71] Operation: 86-15=71
Exploring Operation: 15-14=1, Resulting Numbers: [86, 1]
Generated Node #0,1,1: 45:[86, 1] Operation: 15-14=1
Exploring Operation: 86-14=72, Resulting Numbers: [15, 72]
Generated Node #0,1,2: 45:[15, 72] Operation: 86-14=72
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 45:[14, 71], Operations: ['32-17=15', '86-15=71']
Exploring Operation: 14+71=85, Resulting Numbers: [85]
85,45 unequal: No Solution
Exploring Operation: 71-14=57, Resulting Numbers: [57]
57,45 unequal: No Solution
Exploring Operation: 14*71=994, Resulting Numbers: [994]
994,45 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: 45:[15, 72], Operations: ['32-17=15', '86-14=72']
Exploring Operation: 72-15=57, Resulting Numbers: [57]
57,45 unequal: No Solution
Exploring Operation: 15+72=87, Resulting Numbers: [87]
87,45 unequal: No Solution
Exploring Operation: 15*72=1080, Resulting Numbers: [1080]
1080,45 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: 45:[86, 1], Operations: ['32-17=15', '15-14=1']
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,45 unequal: No Solution
Exploring Operation: 86/1=86, Resulting Numbers: [86]
86,45 unequal: No Solution
Exploring Operation: 86-1=85, Resulting Numbers: [85]
85,45 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 |
[
2,
35,
5,
26
] | 100 | [
"26/2=13",
"5*13=65",
"35+65=100"
] | Current State: 100:[2, 35, 5, 26], Operations: []
Exploring Operation: 26/2=13, Resulting Numbers: [35, 5, 13]
Generated Node #2: [35, 5, 13] from Operation: 26/2=13
Current State: 100:[35, 5, 13], Operations: ['26/2=13']
Exploring Operation: 5*13=65, Resulting Numbers: [35, 65]
Generated Node #3: [35, 65] from Operation: 5*13=65
Current State: 100:[35, 65], Operations: ['26/2=13', '5*13=65']
Exploring Operation: 35+65=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[2, 35, 5, 26], Operations: []
Exploring Operation: 35-5=30, Resulting Numbers: [2, 26, 30]
Generated Node #0,0: 100:[2, 26, 30] Operation: 35-5=30
Exploring Operation: 35-26=9, Resulting Numbers: [2, 5, 9]
Generated Node #0,1: 100:[2, 5, 9] Operation: 35-26=9
Exploring Operation: 35/5=7, Resulting Numbers: [2, 26, 7]
Generated Node #0,2: 100:[2, 26, 7] Operation: 35/5=7
Exploring Operation: 2*5=10, Resulting Numbers: [35, 26, 10]
Generated Node #0,3: 100:[35, 26, 10] Operation: 2*5=10
Exploring Operation: 35-2=33, Resulting Numbers: [5, 26, 33]
Generated Node #0,4: 100:[5, 26, 33] Operation: 35-2=33
Moving to Node #0,1
Current State: 100:[2, 5, 9], Operations: ['35-26=9']
Exploring Operation: 2*5=10, Resulting Numbers: [9, 10]
Generated Node #0,1,0: 100:[9, 10] Operation: 2*5=10
Exploring Operation: 5-2=3, Resulting Numbers: [9, 3]
Generated Node #0,1,1: 100:[9, 3] Operation: 5-2=3
Exploring Operation: 2+9=11, Resulting Numbers: [5, 11]
Generated Node #0,1,2: 100:[5, 11] Operation: 2+9=11
Exploring Operation: 2*9=18, Resulting Numbers: [5, 18]
Generated Node #0,1,3: 100:[5, 18] Operation: 2*9=18
Exploring Operation: 9-5=4, Resulting Numbers: [2, 4]
Generated Node #0,1,4: 100:[2, 4] Operation: 9-5=4
Moving to Node #0,2
Current State: 100:[2, 26, 7], Operations: ['35/5=7']
Exploring Operation: 26-7=19, Resulting Numbers: [2, 19]
Generated Node #0,2,0: 100:[2, 19] Operation: 26-7=19
Exploring Operation: 2*26=52, Resulting Numbers: [7, 52]
Generated Node #0,2,1: 100:[7, 52] Operation: 2*26=52
Exploring Operation: 2+7=9, Resulting Numbers: [26, 9]
Generated Node #0,2,2: 100:[26, 9] Operation: 2+7=9
Exploring Operation: 7-2=5, Resulting Numbers: [26, 5]
Generated Node #0,2,3: 100:[26, 5] Operation: 7-2=5
Exploring Operation: 26-2=24, Resulting Numbers: [7, 24]
Generated Node #0,2,4: 100:[7, 24] Operation: 26-2=24
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 100:[2, 19], Operations: ['35/5=7', '26-7=19']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,100 unequal: No Solution
Exploring Operation: 2+19=21, Resulting Numbers: [21]
21,100 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 #0,2,3
Current State: 100:[26, 5], Operations: ['35/5=7', '7-2=5']
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,100 unequal: No Solution
Exploring Operation: 26*5=130, Resulting Numbers: [130]
130,100 unequal: No Solution
Exploring Operation: 26+5=31, Resulting Numbers: [31]
31,100 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 #0,2,2
Current State: 100:[26, 9], Operations: ['35/5=7', '2+7=9']
Exploring Operation: 26+9=35, Resulting Numbers: [35]
35,100 unequal: No Solution
Exploring Operation: 26*9=234, Resulting Numbers: [234]
234,100 unequal: No Solution
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,100 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 #0,2,4
Current State: 100:[7, 24], Operations: ['35/5=7', '26-2=24']
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Exploring Operation: 7+24=31, Resulting Numbers: [31]
31,100 unequal: No Solution
Exploring Operation: 7*24=168, Resulting Numbers: [168]
168,100 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 #0,2,1
Current State: 100:[7, 52], Operations: ['35/5=7', '2*26=52']
Exploring Operation: 7+52=59, Resulting Numbers: [59]
59,100 unequal: No Solution
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,100 unequal: No Solution
Exploring Operation: 7*52=364, Resulting Numbers: [364]
364,100 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: 100:[2, 26, 30], Operations: ['35-5=30']
Exploring Operation: 30-26=4, Resulting Numbers: [2, 4]
Generated Node #0,0,0: 100:[2, 4] Operation: 30-26=4
Exploring Operation: 26-2=24, Resulting Numbers: [30, 24]
Generated Node #0,0,1: 100:[30, 24] Operation: 26-2=24
Exploring Operation: 26+30=56, Resulting Numbers: [2, 56]
Generated Node #0,0,2: 100:[2, 56] Operation: 26+30=56
Exploring Operation: 30-2=28, Resulting Numbers: [26, 28]
Generated Node #0,0,3: 100:[26, 28] Operation: 30-2=28
Exploring Operation: 30/2=15, Resulting Numbers: [26, 15]
Generated Node #0,0,4: 100:[26, 15] Operation: 30/2=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 100:[2, 4], Operations: ['35-5=30', '30-26=4']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,100 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,100 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 #0,0,3
Current State: 100:[26, 28], Operations: ['35-5=30', '30-2=28']
Exploring Operation: 28-26=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 26+28=54, Resulting Numbers: [54]
54,100 unequal: No Solution
Exploring Operation: 26*28=728, Resulting Numbers: [728]
728,100 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 #0,0,1
Current State: 100:[30, 24], Operations: ['35-5=30', '26-2=24']
Exploring Operation: 30*24=720, Resulting Numbers: [720]
720,100 unequal: No Solution
Exploring Operation: 30+24=54, Resulting Numbers: [54]
54,100 unequal: No Solution
Exploring Operation: 30-24=6, Resulting Numbers: [6]
6,100 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 #0,0,2
Current State: 100:[2, 56], Operations: ['35-5=30', '26+30=56']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,100 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,100 unequal: No Solution
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,100 unequal: No Solution
Exploring Operation: 2*56=112, Resulting Numbers: [112]
112,100 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 #0,0,4
Current State: 100:[26, 15], Operations: ['35-5=30', '30/2=15']
Exploring Operation: 26+15=41, Resulting Numbers: [41]
41,100 unequal: No Solution
Exploring Operation: 26*15=390, Resulting Numbers: [390]
390,100 unequal: No Solution
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,100 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: 100:[5, 26, 33], Operations: ['35-2=33']
Exploring Operation: 33-26=7, Resulting Numbers: [5, 7]
Generated Node #0,4,0: 100:[5, 7] Operation: 33-26=7
Exploring Operation: 26-5=21, Resulting Numbers: [33, 21]
Generated Node #0,4,1: 100:[33, 21] Operation: 26-5=21
Exploring Operation: 5+33=38, Resulting Numbers: [26, 38]
Generated Node #0,4,2: 100:[26, 38] Operation: 5+33=38
Exploring Operation: 26+33=59, Resulting Numbers: [5, 59]
Generated Node #0,4,3: 100:[5, 59] Operation: 26+33=59
Exploring Operation: 33-5=28, Resulting Numbers: [26, 28]
Generated Node #0,4,4: 100:[26, 28] Operation: 33-5=28
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 100:[5, 7], Operations: ['35-2=33', '33-26=7']
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,100 unequal: No Solution
Exploring Operation: 5+7=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,100 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 #0,4,4
Current State: 100:[26, 28], Operations: ['35-2=33', '33-5=28']
Exploring Operation: 28-26=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 26+28=54, Resulting Numbers: [54]
54,100 unequal: No Solution
Exploring Operation: 26*28=728, Resulting Numbers: [728]
728,100 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 #0,4,1
Current State: 100:[33, 21], Operations: ['35-2=33', '26-5=21']
Exploring Operation: 33*21=693, Resulting Numbers: [693]
693,100 unequal: No Solution
Exploring Operation: 33-21=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 33+21=54, Resulting Numbers: [54]
54,100 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 #0,4,3
Current State: 100:[5, 59], Operations: ['35-2=33', '26+33=59']
Exploring Operation: 59-5=54, Resulting Numbers: [54]
54,100 unequal: No Solution
Exploring Operation: 5+59=64, Resulting Numbers: [64]
64,100 unequal: No Solution
Exploring Operation: 5*59=295, Resulting Numbers: [295]
295,100 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 #0,4,2
Current State: 100:[26, 38], Operations: ['35-2=33', '5+33=38']
Exploring Operation: 26+38=64, Resulting Numbers: [64]
64,100 unequal: No Solution
Exploring Operation: 26*38=988, Resulting Numbers: [988]
988,100 unequal: No Solution
Exploring Operation: 38-26=12, Resulting Numbers: [12]
12,100 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: 100:[35, 26, 10], Operations: ['2*5=10']
Exploring Operation: 26-10=16, Resulting Numbers: [35, 16]
Generated Node #0,3,0: 100:[35, 16] Operation: 26-10=16
Exploring Operation: 35+10=45, Resulting Numbers: [26, 45]
Generated Node #0,3,1: 100:[26, 45] Operation: 35+10=45
Exploring Operation: 35-26=9, Resulting Numbers: [10, 9]
Generated Node #0,3,2: 100:[10, 9] Operation: 35-26=9
Exploring Operation: 35+26=61, Resulting Numbers: [10, 61]
Generated Node #0,3,3: 100:[10, 61] Operation: 35+26=61
Exploring Operation: 35-10=25, Resulting Numbers: [26, 25]
Generated Node #0,3,4: 100:[26, 25] Operation: 35-10=25
Moving to Node #0,1,4
Current State: 100:[2, 4], Operations: ['35-26=9', '9-5=4']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,100 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Moving to Node #0,1,2
Current State: 100:[5, 11], Operations: ['35-26=9', '2+9=11']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,100 unequal: No Solution
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,100 unequal: No Solution
Moving to Node #0,3,4
Current State: 100:[26, 25], Operations: ['2*5=10', '35-10=25']
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,100 unequal: No Solution
Exploring Operation: 26*25=650, Resulting Numbers: [650]
650,100 unequal: No Solution
Exploring Operation: 26+25=51, Resulting Numbers: [51]
51,100 unequal: No Solution
Moving to Node #0,3,2
Current State: 100:[10, 9], Operations: ['2*5=10', '35-26=9']
Exploring Operation: 10*9=90, Resulting Numbers: [90]
90,100 unequal: No Solution
Exploring Operation: 10+9=19, Resulting Numbers: [19]
19,100 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,100 unequal: No Solution
Moving to Node #0,1,0
Current State: 100:[9, 10], Operations: ['35-26=9', '2*5=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,100 unequal: No Solution
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,100 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,100 unequal: No Solution
Moving to Node #0,1,3
Current State: 100:[5, 18], Operations: ['35-26=9', '2*9=18']
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,100 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,100 unequal: No Solution
Moving to Node #0,1,1
Current State: 100:[9, 3], Operations: ['35-26=9', '5-2=3']
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,100 unequal: No Solution
Moving to Node #0,3,1
Current State: 100:[26, 45], Operations: ['2*5=10', '35+10=45']
Exploring Operation: 26+45=71, Resulting Numbers: [71]
71,100 unequal: No Solution
Exploring Operation: 26*45=1170, Resulting Numbers: [1170]
1170,100 unequal: No Solution
Exploring Operation: 45-26=19, Resulting Numbers: [19]
19,100 unequal: No Solution
Moving to Node #0,3,3
Current State: 100:[10, 61], Operations: ['2*5=10', '35+26=61']
Exploring Operation: 10+61=71, Resulting Numbers: [71]
71,100 unequal: No Solution
Exploring Operation: 61-10=51, Resulting Numbers: [51]
51,100 unequal: No Solution
Exploring Operation: 10*61=610, Resulting Numbers: [610]
610,100 unequal: No Solution
Moving to Node #0,3,0
Current State: 100:[35, 16], Operations: ['2*5=10', '26-10=16']
Exploring Operation: 35*16=560, Resulting Numbers: [560]
560,100 unequal: No Solution
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,100 unequal: No Solution
Exploring Operation: 35+16=51, Resulting Numbers: [51]
51,100 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
41,
4,
83,
56
] | 17 | [
"41+83=124",
"124-56=68",
"68/4=17"
] | Current State: 17:[41, 4, 83, 56], Operations: []
Exploring Operation: 41+83=124, Resulting Numbers: [4, 56, 124]
Generated Node #2: [4, 56, 124] from Operation: 41+83=124
Current State: 17:[4, 56, 124], Operations: ['41+83=124']
Exploring Operation: 124-56=68, Resulting Numbers: [4, 68]
Generated Node #3: [4, 68] from Operation: 124-56=68
Current State: 17:[4, 68], Operations: ['41+83=124', '124-56=68']
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[41, 4, 83, 56], Operations: []
Exploring Operation: 56-41=15, Resulting Numbers: [4, 83, 15]
Generated Node #0,0: 17:[4, 83, 15] Operation: 56-41=15
Exploring Operation: 83-41=42, Resulting Numbers: [4, 56, 42]
Generated Node #0,1: 17:[4, 56, 42] Operation: 83-41=42
Exploring Operation: 83-56=27, Resulting Numbers: [41, 4, 27]
Generated Node #0,2: 17:[41, 4, 27] Operation: 83-56=27
Exploring Operation: 56/4=14, Resulting Numbers: [41, 83, 14]
Generated Node #0,3: 17:[41, 83, 14] Operation: 56/4=14
Moving to Node #0,2
Current State: 17:[41, 4, 27], Operations: ['83-56=27']
Exploring Operation: 41+4=45, Resulting Numbers: [27, 45]
Generated Node #0,2,0: 17:[27, 45] Operation: 41+4=45
Exploring Operation: 41-4=37, Resulting Numbers: [27, 37]
Generated Node #0,2,1: 17:[27, 37] Operation: 41-4=37
Exploring Operation: 41-27=14, Resulting Numbers: [4, 14]
Generated Node #0,2,2: 17:[4, 14] Operation: 41-27=14
Exploring Operation: 27-4=23, Resulting Numbers: [41, 23]
Generated Node #0,2,3: 17:[41, 23] Operation: 27-4=23
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 17:[4, 14], Operations: ['83-56=27', '41-27=14']
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,17 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,17 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,17 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 #0,2,1
Current State: 17:[27, 37], Operations: ['83-56=27', '41-4=37']
Exploring Operation: 27*37=999, Resulting Numbers: [999]
999,17 unequal: No Solution
Exploring Operation: 27+37=64, Resulting Numbers: [64]
64,17 unequal: No Solution
Exploring Operation: 37-27=10, Resulting Numbers: [10]
10,17 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 #0,2,3
Current State: 17:[41, 23], Operations: ['83-56=27', '27-4=23']
Exploring Operation: 41-23=18, Resulting Numbers: [18]
18,17 unequal: No Solution
Exploring Operation: 41*23=943, Resulting Numbers: [943]
943,17 unequal: No Solution
Exploring Operation: 41+23=64, Resulting Numbers: [64]
64,17 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 #0,2,0
Current State: 17:[27, 45], Operations: ['83-56=27', '41+4=45']
Exploring Operation: 27+45=72, Resulting Numbers: [72]
72,17 unequal: No Solution
Exploring Operation: 45-27=18, Resulting Numbers: [18]
18,17 unequal: No Solution
Exploring Operation: 27*45=1215, Resulting Numbers: [1215]
1215,17 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:[4, 56, 42], Operations: ['83-41=42']
Exploring Operation: 56-42=14, Resulting Numbers: [4, 14]
Generated Node #0,1,0: 17:[4, 14] Operation: 56-42=14
Exploring Operation: 56/4=14, Resulting Numbers: [42, 14]
Generated Node #0,1,1: 17:[42, 14] Operation: 56/4=14
Exploring Operation: 42-4=38, Resulting Numbers: [56, 38]
Generated Node #0,1,2: 17:[56, 38] Operation: 42-4=38
Exploring Operation: 56-4=52, Resulting Numbers: [42, 52]
Generated Node #0,1,3: 17:[42, 52] Operation: 56-4=52
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 17:[4, 14], Operations: ['83-41=42', '56-42=14']
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,17 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,17 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 #0,1,1
Current State: 17:[42, 14], Operations: ['83-41=42', '56/4=14']
Exploring Operation: 42+14=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 42-14=28, Resulting Numbers: [28]
28,17 unequal: No Solution
Exploring Operation: 42/14=3, Resulting Numbers: [3]
3,17 unequal: No Solution
Exploring Operation: 42*14=588, Resulting Numbers: [588]
588,17 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 #0,1,2
Current State: 17:[56, 38], Operations: ['83-41=42', '42-4=38']
Exploring Operation: 56*38=2128, Resulting Numbers: [2128]
2128,17 unequal: No Solution
Exploring Operation: 56+38=94, Resulting Numbers: [94]
94,17 unequal: No Solution
Exploring Operation: 56-38=18, Resulting Numbers: [18]
18,17 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 #0,1,3
Current State: 17:[42, 52], Operations: ['83-41=42', '56-4=52']
Exploring Operation: 42*52=2184, Resulting Numbers: [2184]
2184,17 unequal: No Solution
Exploring Operation: 52-42=10, Resulting Numbers: [10]
10,17 unequal: No Solution
Exploring Operation: 42+52=94, Resulting Numbers: [94]
94,17 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: 17:[4, 83, 15], Operations: ['56-41=15']
Exploring Operation: 4+15=19, Resulting Numbers: [83, 19]
Generated Node #0,0,0: 17:[83, 19] Operation: 4+15=19
Exploring Operation: 4+83=87, Resulting Numbers: [15, 87]
Generated Node #0,0,1: 17:[15, 87] Operation: 4+83=87
Exploring Operation: 83-4=79, Resulting Numbers: [15, 79]
Generated Node #0,0,2: 17:[15, 79] Operation: 83-4=79
Exploring Operation: 83-15=68, Resulting Numbers: [4, 68]
Generated Node #0,0,3: 17:[4, 68] Operation: 83-15=68
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 17:[15, 79], Operations: ['56-41=15', '83-4=79']
Exploring Operation: 15+79=94, Resulting Numbers: [94]
94,17 unequal: No Solution
Exploring Operation: 15*79=1185, Resulting Numbers: [1185]
1185,17 unequal: No Solution
Exploring Operation: 79-15=64, Resulting Numbers: [64]
64,17 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 #0,0,3
Current State: 17:[4, 68], Operations: ['56-41=15', '83-15=68']
Exploring Operation: 4*68=272, Resulting Numbers: [272]
272,17 unequal: No Solution
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[41, 4, 83, 56], Operations: []
Exploring Operation: 56-41=15, Resulting Numbers: [4, 83, 15]
Generated Node #0,0: 17:[4, 83, 15] Operation: 56-41=15
Moving to Node #0,0
Current State: 17:[4, 83, 15], Operations: ['56-41=15']
Exploring Operation: 83-15=68, Resulting Numbers: [4, 68]
Generated Node #0,0,3: 17:[4, 68] Operation: 83-15=68
Moving to Node #0,0,3
Current State: 17:[4, 68], Operations: ['56-41=15', '83-15=68']
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.956597 | hs_4 | mult_heuristic |
[
83,
53,
64,
23
] | 71 | [
"83-53=30",
"64-23=41",
"30+41=71"
] | Current State: 71:[83, 53, 64, 23], Operations: []
Exploring Operation: 83-53=30, Resulting Numbers: [64, 23, 30]
Generated Node #2: [64, 23, 30] from Operation: 83-53=30
Current State: 71:[64, 23, 30], Operations: ['83-53=30']
Exploring Operation: 64-23=41, Resulting Numbers: [30, 41]
Generated Node #3: [30, 41] from Operation: 64-23=41
Current State: 71:[30, 41], Operations: ['83-53=30', '64-23=41']
Exploring Operation: 30+41=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[83, 53, 64, 23], Operations: []
Exploring Operation: 53+23=76, Resulting Numbers: [83, 64, 76]
Generated Node #0,0: 71:[83, 64, 76] Operation: 53+23=76
Exploring Operation: 83-23=60, Resulting Numbers: [53, 64, 60]
Generated Node #0,1: 71:[53, 64, 60] Operation: 83-23=60
Moving to Node #0,0
Current State: 71:[83, 64, 76], Operations: ['53+23=76']
Exploring Operation: 83-64=19, Resulting Numbers: [76, 19]
Generated Node #0,0,0: 71:[76, 19] Operation: 83-64=19
Exploring Operation: 83-76=7, Resulting Numbers: [64, 7]
Generated Node #0,0,1: 71:[64, 7] Operation: 83-76=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 71:[76, 19], Operations: ['53+23=76', '83-64=19']
Exploring Operation: 76-19=57, Resulting Numbers: [57]
57,71 unequal: No Solution
Exploring Operation: 76+19=95, Resulting Numbers: [95]
95,71 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 #0,0,1
Current State: 71:[64, 7], Operations: ['53+23=76', '83-76=7']
Exploring Operation: 64+7=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[83, 53, 64, 23], Operations: []
Exploring Operation: 53+23=76, Resulting Numbers: [83, 64, 76]
Generated Node #0,0: 71:[83, 64, 76] Operation: 53+23=76
Moving to Node #0,0
Current State: 71:[83, 64, 76], Operations: ['53+23=76']
Exploring Operation: 83-76=7, Resulting Numbers: [64, 7]
Generated Node #0,0,1: 71:[64, 7] Operation: 83-76=7
Moving to Node #0,0,1
Current State: 71:[64, 7], Operations: ['53+23=76', '83-76=7']
Exploring Operation: 64+7=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
9,
34,
89,
12
] | 34 | [
"9+34=43",
"89-12=77",
"77-43=34"
] | Current State: 34:[9, 34, 89, 12], Operations: []
Exploring Operation: 9+34=43, Resulting Numbers: [89, 12, 43]
Generated Node #2: [89, 12, 43] from Operation: 9+34=43
Current State: 34:[89, 12, 43], Operations: ['9+34=43']
Exploring Operation: 89-12=77, Resulting Numbers: [43, 77]
Generated Node #3: [43, 77] from Operation: 89-12=77
Current State: 34:[43, 77], Operations: ['9+34=43', '89-12=77']
Exploring Operation: 77-43=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[9, 34, 89, 12], Operations: []
Exploring Operation: 89-12=77, Resulting Numbers: [9, 34, 77]
Generated Node #0,0: 34:[9, 34, 77] Operation: 89-12=77
Exploring Operation: 89-34=55, Resulting Numbers: [9, 12, 55]
Generated Node #0,1: 34:[9, 12, 55] Operation: 89-34=55
Exploring Operation: 89-9=80, Resulting Numbers: [34, 12, 80]
Generated Node #0,2: 34:[34, 12, 80] Operation: 89-9=80
Exploring Operation: 12-9=3, Resulting Numbers: [34, 89, 3]
Generated Node #0,3: 34:[34, 89, 3] Operation: 12-9=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 34:[9, 12, 55], Operations: ['89-34=55']
Exploring Operation: 12-9=3, Resulting Numbers: [55, 3]
Generated Node #0,1,0: 34:[55, 3] Operation: 12-9=3
Exploring Operation: 9+12=21, Resulting Numbers: [55, 21]
Generated Node #0,1,1: 34:[55, 21] Operation: 9+12=21
Exploring Operation: 55-9=46, Resulting Numbers: [12, 46]
Generated Node #0,1,2: 34:[12, 46] Operation: 55-9=46
Exploring Operation: 55-12=43, Resulting Numbers: [9, 43]
Generated Node #0,1,3: 34:[9, 43] Operation: 55-12=43
Moving to Node #0,1,3
Current State: 34:[9, 43], Operations: ['89-34=55', '55-12=43']
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[9, 34, 89, 12], Operations: []
Exploring Operation: 89-34=55, Resulting Numbers: [9, 12, 55]
Generated Node #0,1: 34:[9, 12, 55] Operation: 89-34=55
Moving to Node #0,1
Current State: 34:[9, 12, 55], Operations: ['89-34=55']
Exploring Operation: 55-12=43, Resulting Numbers: [9, 43]
Generated Node #0,1,3: 34:[9, 43] Operation: 55-12=43
Moving to Node #0,1,3
Current State: 34:[9, 43], Operations: ['89-34=55', '55-12=43']
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
8,
24,
5,
19
] | 65 | [
"8+24=32",
"32-19=13",
"5*13=65"
] | Current State: 65:[8, 24, 5, 19], Operations: []
Exploring Operation: 8+24=32, Resulting Numbers: [5, 19, 32]
Generated Node #2: [5, 19, 32] from Operation: 8+24=32
Current State: 65:[5, 19, 32], Operations: ['8+24=32']
Exploring Operation: 32-19=13, Resulting Numbers: [5, 13]
Generated Node #3: [5, 13] from Operation: 32-19=13
Current State: 65:[5, 13], Operations: ['8+24=32', '32-19=13']
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[8, 24, 5, 19], Operations: []
Exploring Operation: 24/8=3, Resulting Numbers: [5, 19, 3]
Generated Node #0,0: 65:[5, 19, 3] Operation: 24/8=3
Exploring Operation: 24-19=5, Resulting Numbers: [8, 5, 5]
Generated Node #0,1: 65:[8, 5, 5] Operation: 24-19=5
Moving to Node #0,1
Current State: 65:[8, 5, 5], Operations: ['24-19=5']
Exploring Operation: 8+5=13, Resulting Numbers: [5, 13]
Generated Node #0,1,0: 65:[5, 13] Operation: 8+5=13
Exploring Operation: 8+5=13, Resulting Numbers: [5, 13]
Generated Node #0,1,1: 65:[5, 13] Operation: 8+5=13
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 65:[5, 13], Operations: ['24-19=5', '8+5=13']
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[8, 24, 5, 19], Operations: []
Exploring Operation: 24-19=5, Resulting Numbers: [8, 5, 5]
Generated Node #0,1: 65:[8, 5, 5] Operation: 24-19=5
Moving to Node #0,1
Current State: 65:[8, 5, 5], Operations: ['24-19=5']
Exploring Operation: 8+5=13, Resulting Numbers: [5, 13]
Generated Node #0,1,0: 65:[5, 13] Operation: 8+5=13
Moving to Node #0,1,0
Current State: 65:[5, 13], Operations: ['24-19=5', '8+5=13']
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
83,
48,
79,
82
] | 67 | [
"82-79=3",
"48/3=16",
"83-16=67"
] | Current State: 67:[83, 48, 79, 82], Operations: []
Exploring Operation: 82-79=3, Resulting Numbers: [83, 48, 3]
Generated Node #2: [83, 48, 3] from Operation: 82-79=3
Current State: 67:[83, 48, 3], Operations: ['82-79=3']
Exploring Operation: 48/3=16, Resulting Numbers: [83, 16]
Generated Node #3: [83, 16] from Operation: 48/3=16
Current State: 67:[83, 16], Operations: ['82-79=3', '48/3=16']
Exploring Operation: 83-16=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[83, 48, 79, 82], Operations: []
Exploring Operation: 82-48=34, Resulting Numbers: [83, 79, 34]
Generated Node #0,0: 67:[83, 79, 34] Operation: 82-48=34
Exploring Operation: 83-48=35, Resulting Numbers: [79, 82, 35]
Generated Node #0,1: 67:[79, 82, 35] Operation: 83-48=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[79, 82, 35], Operations: ['83-48=35']
Exploring Operation: 79-35=44, Resulting Numbers: [82, 44]
Generated Node #0,1,0: 67:[82, 44] Operation: 79-35=44
Exploring Operation: 82-35=47, Resulting Numbers: [79, 47]
Generated Node #0,1,1: 67:[79, 47] Operation: 82-35=47
Moving to Node #0,1,1
Current State: 67:[79, 47], Operations: ['83-48=35', '82-35=47']
Exploring Operation: 79+47=126, Resulting Numbers: [126]
126,67 unequal: No Solution
Exploring Operation: 79-47=32, Resulting Numbers: [32]
32,67 unequal: No Solution
Moving to Node #0,1,0
Current State: 67:[82, 44], Operations: ['83-48=35', '79-35=44']
Exploring Operation: 82+44=126, Resulting Numbers: [126]
126,67 unequal: No Solution
Exploring Operation: 82-44=38, Resulting Numbers: [38]
38,67 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
Current State: 67:[83, 79, 34], Operations: ['82-48=34']
Exploring Operation: 79-34=45, Resulting Numbers: [83, 45]
Generated Node #0,0,0: 67:[83, 45] Operation: 79-34=45
Exploring Operation: 83-34=49, Resulting Numbers: [79, 49]
Generated Node #0,0,1: 67:[79, 49] Operation: 83-34=49
Moving to Node #0,0,1
Current State: 67:[79, 49], Operations: ['82-48=34', '83-34=49']
Exploring Operation: 79+49=128, Resulting Numbers: [128]
128,67 unequal: No Solution
Exploring Operation: 79-49=30, Resulting Numbers: [30]
30,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[83, 45], Operations: ['82-48=34', '79-34=45']
Exploring Operation: 83+45=128, Resulting Numbers: [128]
128,67 unequal: No Solution
Exploring Operation: 83-45=38, Resulting Numbers: [38]
38,67 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 |
[
93,
32,
39,
56
] | 30 | [
"93+32=125",
"39+56=95",
"125-95=30"
] | Current State: 30:[93, 32, 39, 56], Operations: []
Exploring Operation: 93+32=125, Resulting Numbers: [39, 56, 125]
Generated Node #2: [39, 56, 125] from Operation: 93+32=125
Current State: 30:[39, 56, 125], Operations: ['93+32=125']
Exploring Operation: 39+56=95, Resulting Numbers: [125, 95]
Generated Node #3: [125, 95] from Operation: 39+56=95
Current State: 30:[125, 95], Operations: ['93+32=125', '39+56=95']
Exploring Operation: 125-95=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[93, 32, 39, 56], Operations: []
Exploring Operation: 93-56=37, Resulting Numbers: [32, 39, 37]
Generated Node #0,0: 30:[32, 39, 37] Operation: 93-56=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[32, 39, 37], Operations: ['93-56=37']
Exploring Operation: 39-37=2, Resulting Numbers: [32, 2]
Generated Node #0,0,0: 30:[32, 2] Operation: 39-37=2
Moving to Node #0,0,0
Current State: 30:[32, 2], Operations: ['93-56=37', '39-37=2']
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[93, 32, 39, 56], Operations: []
Exploring Operation: 93-56=37, Resulting Numbers: [32, 39, 37]
Generated Node #0,0: 30:[32, 39, 37] Operation: 93-56=37
Moving to Node #0,0
Current State: 30:[32, 39, 37], Operations: ['93-56=37']
Exploring Operation: 39-37=2, Resulting Numbers: [32, 2]
Generated Node #0,0,0: 30:[32, 2] Operation: 39-37=2
Moving to Node #0,0,0
Current State: 30:[32, 2], Operations: ['93-56=37', '39-37=2']
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
14,
38,
49,
11
] | 90 | [
"14+38=52",
"49-11=38",
"52+38=90"
] | Current State: 90:[14, 38, 49, 11], Operations: []
Exploring Operation: 14+38=52, Resulting Numbers: [49, 11, 52]
Generated Node #2: [49, 11, 52] from Operation: 14+38=52
Current State: 90:[49, 11, 52], Operations: ['14+38=52']
Exploring Operation: 49-11=38, Resulting Numbers: [52, 38]
Generated Node #3: [52, 38] from Operation: 49-11=38
Current State: 90:[52, 38], Operations: ['14+38=52', '49-11=38']
Exploring Operation: 52+38=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[14, 38, 49, 11], Operations: []
Exploring Operation: 49-38=11, Resulting Numbers: [14, 11, 11]
Generated Node #0,0: 90:[14, 11, 11] Operation: 49-38=11
Exploring Operation: 38-11=27, Resulting Numbers: [14, 49, 27]
Generated Node #0,1: 90:[14, 49, 27] Operation: 38-11=27
Exploring Operation: 38+49=87, Resulting Numbers: [14, 11, 87]
Generated Node #0,2: 90:[14, 11, 87] Operation: 38+49=87
Moving to Node #0,0
Current State: 90:[14, 11, 11], Operations: ['49-38=11']
Exploring Operation: 14-11=3, Resulting Numbers: [11, 3]
Generated Node #0,0,0: 90:[11, 3] Operation: 14-11=3
Exploring Operation: 14-11=3, Resulting Numbers: [11, 3]
Generated Node #0,0,1: 90:[11, 3] Operation: 14-11=3
Exploring Operation: 11/11=1, Resulting Numbers: [14, 1]
Generated Node #0,0,2: 90:[14, 1] Operation: 11/11=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 90:[11, 3], Operations: ['49-38=11', '14-11=3']
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,90 unequal: No Solution
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,90 unequal: No Solution
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,90 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 #0,0,1
Current State: 90:[11, 3], Operations: ['49-38=11', '14-11=3']
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,90 unequal: No Solution
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,90 unequal: No Solution
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,90 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 #0,0,2
Current State: 90:[14, 1], Operations: ['49-38=11', '11/11=1']
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,90 unequal: No Solution
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,90 unequal: No Solution
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,90 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: 90:[14, 11, 87], Operations: ['38+49=87']
Exploring Operation: 11+87=98, Resulting Numbers: [14, 98]
Generated Node #0,2,0: 90:[14, 98] Operation: 11+87=98
Exploring Operation: 14+11=25, Resulting Numbers: [87, 25]
Generated Node #0,2,1: 90:[87, 25] Operation: 14+11=25
Exploring Operation: 14-11=3, Resulting Numbers: [87, 3]
Generated Node #0,2,2: 90:[87, 3] Operation: 14-11=3
Moving to Node #0,1
Current State: 90:[14, 49, 27], Operations: ['38-11=27']
Exploring Operation: 49-14=35, Resulting Numbers: [27, 35]
Generated Node #0,1,0: 90:[27, 35] Operation: 49-14=35
Exploring Operation: 49-27=22, Resulting Numbers: [14, 22]
Generated Node #0,1,1: 90:[14, 22] Operation: 49-27=22
Exploring Operation: 27-14=13, Resulting Numbers: [49, 13]
Generated Node #0,1,2: 90:[49, 13] Operation: 27-14=13
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 90:[14, 22], Operations: ['38-11=27', '49-27=22']
Exploring Operation: 22-14=8, Resulting Numbers: [8]
8,90 unequal: No Solution
Exploring Operation: 14*22=308, Resulting Numbers: [308]
308,90 unequal: No Solution
Exploring Operation: 14+22=36, Resulting Numbers: [36]
36,90 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:[49, 13], Operations: ['38-11=27', '27-14=13']
Exploring Operation: 49-13=36, Resulting Numbers: [36]
36,90 unequal: No Solution
Exploring Operation: 49*13=637, Resulting Numbers: [637]
637,90 unequal: No Solution
Exploring Operation: 49+13=62, Resulting Numbers: [62]
62,90 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 #0,1,0
Current State: 90:[27, 35], Operations: ['38-11=27', '49-14=35']
Exploring Operation: 35-27=8, Resulting Numbers: [8]
8,90 unequal: No Solution
Exploring Operation: 27*35=945, Resulting Numbers: [945]
945,90 unequal: No Solution
Exploring Operation: 27+35=62, Resulting Numbers: [62]
62,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 90:[87, 3], Operations: ['38+49=87', '14-11=3']
Exploring Operation: 87+3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[14, 38, 49, 11], Operations: []
Exploring Operation: 38+49=87, Resulting Numbers: [14, 11, 87]
Generated Node #0,2: 90:[14, 11, 87] Operation: 38+49=87
Moving to Node #0,2
Current State: 90:[14, 11, 87], Operations: ['38+49=87']
Exploring Operation: 14-11=3, Resulting Numbers: [87, 3]
Generated Node #0,2,2: 90:[87, 3] Operation: 14-11=3
Moving to Node #0,2,2
Current State: 90:[87, 3], Operations: ['38+49=87', '14-11=3']
Exploring Operation: 87+3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 0.969618 | hs_3 | sum_heuristic |
[
68,
96,
9,
53
] | 90 | [
"96-68=28",
"9+53=62",
"28+62=90"
] | Current State: 90:[68, 96, 9, 53], Operations: []
Exploring Operation: 96-68=28, Resulting Numbers: [9, 53, 28]
Generated Node #2: [9, 53, 28] from Operation: 96-68=28
Current State: 90:[9, 53, 28], Operations: ['96-68=28']
Exploring Operation: 9+53=62, Resulting Numbers: [28, 62]
Generated Node #3: [28, 62] from Operation: 9+53=62
Current State: 90:[28, 62], Operations: ['96-68=28', '9+53=62']
Exploring Operation: 28+62=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[68, 96, 9, 53], Operations: []
Exploring Operation: 68-9=59, Resulting Numbers: [96, 53, 59]
Generated Node #0,0: 90:[96, 53, 59] Operation: 68-9=59
Exploring Operation: 68+9=77, Resulting Numbers: [96, 53, 77]
Generated Node #0,1: 90:[96, 53, 77] Operation: 68+9=77
Exploring Operation: 68-53=15, Resulting Numbers: [96, 9, 15]
Generated Node #0,2: 90:[96, 9, 15] Operation: 68-53=15
Exploring Operation: 96-68=28, Resulting Numbers: [9, 53, 28]
Generated Node #0,3: 90:[9, 53, 28] Operation: 96-68=28
Exploring Operation: 96-53=43, Resulting Numbers: [68, 9, 43]
Generated Node #0,4: 90:[68, 9, 43] Operation: 96-53=43
Start Sub Search at level 1: Moving to Node #0,2
Current State: 90:[96, 9, 15], Operations: ['68-53=15']
Exploring Operation: 96-15=81, Resulting Numbers: [9, 81]
Generated Node #0,2,0: 90:[9, 81] Operation: 96-15=81
Exploring Operation: 96+9=105, Resulting Numbers: [15, 105]
Generated Node #0,2,1: 90:[15, 105] Operation: 96+9=105
Exploring Operation: 96-9=87, Resulting Numbers: [15, 87]
Generated Node #0,2,2: 90:[15, 87] Operation: 96-9=87
Exploring Operation: 9+15=24, Resulting Numbers: [96, 24]
Generated Node #0,2,3: 90:[96, 24] Operation: 9+15=24
Exploring Operation: 15-9=6, Resulting Numbers: [96, 6]
Generated Node #0,2,4: 90:[96, 6] Operation: 15-9=6
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 90:[15, 87], Operations: ['68-53=15', '96-9=87']
Exploring Operation: 15+87=102, Resulting Numbers: [102]
102,90 unequal: No Solution
Exploring Operation: 87-15=72, Resulting Numbers: [72]
72,90 unequal: No Solution
Exploring Operation: 15*87=1305, Resulting Numbers: [1305]
1305,90 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: 90:[96, 6], Operations: ['68-53=15', '15-9=6']
Exploring Operation: 96/6=16, Resulting Numbers: [16]
16,90 unequal: No Solution
Exploring Operation: 96+6=102, Resulting Numbers: [102]
102,90 unequal: No Solution
Exploring Operation: 96-6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[68, 96, 9, 53], Operations: []
Exploring Operation: 68-53=15, Resulting Numbers: [96, 9, 15]
Generated Node #0,2: 90:[96, 9, 15] Operation: 68-53=15
Moving to Node #0,2
Current State: 90:[96, 9, 15], Operations: ['68-53=15']
Exploring Operation: 15-9=6, Resulting Numbers: [96, 6]
Generated Node #0,2,4: 90:[96, 6] Operation: 15-9=6
Moving to Node #0,2,4
Current State: 90:[96, 6], Operations: ['68-53=15', '15-9=6']
Exploring Operation: 96-6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
72,
45,
65,
43
] | 49 | [
"72-45=27",
"65-43=22",
"27+22=49"
] | Current State: 49:[72, 45, 65, 43], Operations: []
Exploring Operation: 72-45=27, Resulting Numbers: [65, 43, 27]
Generated Node #2: [65, 43, 27] from Operation: 72-45=27
Current State: 49:[65, 43, 27], Operations: ['72-45=27']
Exploring Operation: 65-43=22, Resulting Numbers: [27, 22]
Generated Node #3: [27, 22] from Operation: 65-43=22
Current State: 49:[27, 22], Operations: ['72-45=27', '65-43=22']
Exploring Operation: 27+22=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[72, 45, 65, 43], Operations: []
Exploring Operation: 72-43=29, Resulting Numbers: [45, 65, 29]
Generated Node #0,0: 49:[45, 65, 29] Operation: 72-43=29
Exploring Operation: 65-45=20, Resulting Numbers: [72, 43, 20]
Generated Node #0,1: 49:[72, 43, 20] Operation: 65-45=20
Exploring Operation: 72-45=27, Resulting Numbers: [65, 43, 27]
Generated Node #0,2: 49:[65, 43, 27] Operation: 72-45=27
Exploring Operation: 72-65=7, Resulting Numbers: [45, 43, 7]
Generated Node #0,3: 49:[45, 43, 7] Operation: 72-65=7
Moving to Node #0,3
Current State: 49:[45, 43, 7], Operations: ['72-65=7']
Exploring Operation: 45-7=38, Resulting Numbers: [43, 38]
Generated Node #0,3,0: 49:[43, 38] Operation: 45-7=38
Exploring Operation: 43+7=50, Resulting Numbers: [45, 50]
Generated Node #0,3,1: 49:[45, 50] Operation: 43+7=50
Exploring Operation: 45-43=2, Resulting Numbers: [7, 2]
Generated Node #0,3,2: 49:[7, 2] Operation: 45-43=2
Exploring Operation: 45+7=52, Resulting Numbers: [43, 52]
Generated Node #0,3,3: 49:[43, 52] Operation: 45+7=52
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 49:[45, 50], Operations: ['72-65=7', '43+7=50']
Exploring Operation: 50-45=5, Resulting Numbers: [5]
5,49 unequal: No Solution
Exploring Operation: 45*50=2250, Resulting Numbers: [2250]
2250,49 unequal: No Solution
Exploring Operation: 45+50=95, Resulting Numbers: [95]
95,49 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 #0,3,2
Current State: 49:[7, 2], Operations: ['72-65=7', '45-43=2']
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,49 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,49 unequal: No Solution
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,49 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 #0,3,3
Current State: 49:[43, 52], Operations: ['72-65=7', '45+7=52']
Exploring Operation: 52-43=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 43*52=2236, Resulting Numbers: [2236]
2236,49 unequal: No Solution
Exploring Operation: 43+52=95, Resulting Numbers: [95]
95,49 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 #0,3,0
Current State: 49:[43, 38], Operations: ['72-65=7', '45-7=38']
Exploring Operation: 43+38=81, Resulting Numbers: [81]
81,49 unequal: No Solution
Exploring Operation: 43-38=5, Resulting Numbers: [5]
5,49 unequal: No Solution
Exploring Operation: 43*38=1634, Resulting Numbers: [1634]
1634,49 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: 49:[45, 65, 29], Operations: ['72-43=29']
Exploring Operation: 45-29=16, Resulting Numbers: [65, 16]
Generated Node #0,0,0: 49:[65, 16] Operation: 45-29=16
Exploring Operation: 45+29=74, Resulting Numbers: [65, 74]
Generated Node #0,0,1: 49:[65, 74] Operation: 45+29=74
Exploring Operation: 65-45=20, Resulting Numbers: [29, 20]
Generated Node #0,0,2: 49:[29, 20] Operation: 65-45=20
Exploring Operation: 65-29=36, Resulting Numbers: [45, 36]
Generated Node #0,0,3: 49:[45, 36] Operation: 65-29=36
Moving to Node #0,2
Current State: 49:[65, 43, 27], Operations: ['72-45=27']
Exploring Operation: 43-27=16, Resulting Numbers: [65, 16]
Generated Node #0,2,0: 49:[65, 16] Operation: 43-27=16
Exploring Operation: 43+27=70, Resulting Numbers: [65, 70]
Generated Node #0,2,1: 49:[65, 70] Operation: 43+27=70
Exploring Operation: 65-43=22, Resulting Numbers: [27, 22]
Generated Node #0,2,2: 49:[27, 22] Operation: 65-43=22
Exploring Operation: 65-27=38, Resulting Numbers: [43, 38]
Generated Node #0,2,3: 49:[43, 38] Operation: 65-27=38
Moving to Node #0,1
Current State: 49:[72, 43, 20], Operations: ['65-45=20']
Exploring Operation: 43+20=63, Resulting Numbers: [72, 63]
Generated Node #0,1,0: 49:[72, 63] Operation: 43+20=63
Exploring Operation: 43-20=23, Resulting Numbers: [72, 23]
Generated Node #0,1,1: 49:[72, 23] Operation: 43-20=23
Exploring Operation: 72-20=52, Resulting Numbers: [43, 52]
Generated Node #0,1,2: 49:[43, 52] Operation: 72-20=52
Exploring Operation: 72-43=29, Resulting Numbers: [20, 29]
Generated Node #0,1,3: 49:[20, 29] Operation: 72-43=29
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 49:[43, 52], Operations: ['65-45=20', '72-20=52']
Exploring Operation: 43+52=95, Resulting Numbers: [95]
95,49 unequal: No Solution
Exploring Operation: 43*52=2236, Resulting Numbers: [2236]
2236,49 unequal: No Solution
Exploring Operation: 52-43=9, Resulting Numbers: [9]
9,49 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 #0,1,3
Current State: 49:[20, 29], Operations: ['65-45=20', '72-43=29']
Exploring Operation: 20+29=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[72, 45, 65, 43], Operations: []
Exploring Operation: 65-45=20, Resulting Numbers: [72, 43, 20]
Generated Node #0,1: 49:[72, 43, 20] Operation: 65-45=20
Moving to Node #0,1
Current State: 49:[72, 43, 20], Operations: ['65-45=20']
Exploring Operation: 72-43=29, Resulting Numbers: [20, 29]
Generated Node #0,1,3: 49:[20, 29] Operation: 72-43=29
Moving to Node #0,1,3
Current State: 49:[20, 29], Operations: ['65-45=20', '72-43=29']
Exploring Operation: 20+29=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278 | hs_4 | mult_heuristic |
[
37,
13,
2,
95
] | 10 | [
"37-2=35",
"95+35=130",
"130/13=10"
] | Current State: 10:[37, 13, 2, 95], Operations: []
Exploring Operation: 37-2=35, Resulting Numbers: [13, 95, 35]
Generated Node #2: [13, 95, 35] from Operation: 37-2=35
Current State: 10:[13, 95, 35], Operations: ['37-2=35']
Exploring Operation: 95+35=130, Resulting Numbers: [13, 130]
Generated Node #3: [13, 130] from Operation: 95+35=130
Current State: 10:[13, 130], Operations: ['37-2=35', '95+35=130']
Exploring Operation: 130/13=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[37, 13, 2, 95], Operations: []
Exploring Operation: 95-37=58, Resulting Numbers: [13, 2, 58]
Generated Node #0,0: 10:[13, 2, 58] Operation: 95-37=58
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[13, 2, 58], Operations: ['95-37=58']
Exploring Operation: 58/2=29, Resulting Numbers: [13, 29]
Generated Node #0,0,0: 10:[13, 29] Operation: 58/2=29
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 10:[13, 29], Operations: ['95-37=58', '58/2=29']
Exploring Operation: 29-13=16, Resulting Numbers: [16]
16,10 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 |
[
7,
21,
36,
42
] | 11 | [
"21*36=756",
"756/42=18",
"18-7=11"
] | Current State: 11:[7, 21, 36, 42], Operations: []
Exploring Operation: 21*36=756, Resulting Numbers: [7, 42, 756]
Generated Node #2: [7, 42, 756] from Operation: 21*36=756
Current State: 11:[7, 42, 756], Operations: ['21*36=756']
Exploring Operation: 756/42=18, Resulting Numbers: [7, 18]
Generated Node #3: [7, 18] from Operation: 756/42=18
Current State: 11:[7, 18], Operations: ['21*36=756', '756/42=18']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[7, 21, 36, 42], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [7, 36, 2]
Generated Node #0,0: 11:[7, 36, 2] Operation: 42/21=2
Exploring Operation: 42-36=6, Resulting Numbers: [7, 21, 6]
Generated Node #0,1: 11:[7, 21, 6] Operation: 42-36=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[7, 21, 6], Operations: ['42-36=6']
Exploring Operation: 21-6=15, Resulting Numbers: [7, 15]
Generated Node #0,1,0: 11:[7, 15] Operation: 21-6=15
Exploring Operation: 21-7=14, Resulting Numbers: [6, 14]
Generated Node #0,1,1: 11:[6, 14] Operation: 21-7=14
Moving to Node #0,1,0
Current State: 11:[7, 15], Operations: ['42-36=6', '21-6=15']
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,11 unequal: No Solution
Exploring Operation: 7+15=22, Resulting Numbers: [22]
22,11 unequal: No Solution
Moving to Node #0,1,1
Current State: 11:[6, 14], Operations: ['42-36=6', '21-7=14']
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,11 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: 11:[7, 36, 2], Operations: ['42/21=2']
Exploring Operation: 36-7=29, Resulting Numbers: [2, 29]
Generated Node #0,0,0: 11:[2, 29] Operation: 36-7=29
Exploring Operation: 36/2=18, Resulting Numbers: [7, 18]
Generated Node #0,0,1: 11:[7, 18] Operation: 36/2=18
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 11:[7, 18], Operations: ['42/21=2', '36/2=18']
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[7, 21, 36, 42], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [7, 36, 2]
Generated Node #0,0: 11:[7, 36, 2] Operation: 42/21=2
Moving to Node #0,0
Current State: 11:[7, 36, 2], Operations: ['42/21=2']
Exploring Operation: 36/2=18, Resulting Numbers: [7, 18]
Generated Node #0,0,1: 11:[7, 18] Operation: 36/2=18
Moving to Node #0,0,1
Current State: 11:[7, 18], Operations: ['42/21=2', '36/2=18']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
80,
13,
27,
5
] | 81 | [
"80/5=16",
"16-13=3",
"27*3=81"
] | Current State: 81:[80, 13, 27, 5], Operations: []
Exploring Operation: 80/5=16, Resulting Numbers: [13, 27, 16]
Generated Node #2: [13, 27, 16] from Operation: 80/5=16
Current State: 81:[13, 27, 16], Operations: ['80/5=16']
Exploring Operation: 16-13=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 16-13=3
Current State: 81:[27, 3], Operations: ['80/5=16', '16-13=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[80, 13, 27, 5], Operations: []
Exploring Operation: 27-13=14, Resulting Numbers: [80, 5, 14]
Generated Node #0,0: 81:[80, 5, 14] Operation: 27-13=14
Exploring Operation: 80+5=85, Resulting Numbers: [13, 27, 85]
Generated Node #0,1: 81:[13, 27, 85] Operation: 80+5=85
Exploring Operation: 13-5=8, Resulting Numbers: [80, 27, 8]
Generated Node #0,2: 81:[80, 27, 8] Operation: 13-5=8
Exploring Operation: 80-5=75, Resulting Numbers: [13, 27, 75]
Generated Node #0,3: 81:[13, 27, 75] Operation: 80-5=75
Start Sub Search at level 1: Moving to Node #0,2
Current State: 81:[80, 27, 8], Operations: ['13-5=8']
Exploring Operation: 27+8=35, Resulting Numbers: [80, 35]
Generated Node #0,2,0: 81:[80, 35] Operation: 27+8=35
Exploring Operation: 80-8=72, Resulting Numbers: [27, 72]
Generated Node #0,2,1: 81:[27, 72] Operation: 80-8=72
Exploring Operation: 80/8=10, Resulting Numbers: [27, 10]
Generated Node #0,2,2: 81:[27, 10] Operation: 80/8=10
Exploring Operation: 80+8=88, Resulting Numbers: [27, 88]
Generated Node #0,2,3: 81:[27, 88] Operation: 80+8=88
Moving to Node #0,2,2
Current State: 81:[27, 10], Operations: ['13-5=8', '80/8=10']
Exploring Operation: 27*10=270, Resulting Numbers: [270]
270,81 unequal: No Solution
Exploring Operation: 27+10=37, Resulting Numbers: [37]
37,81 unequal: No Solution
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,81 unequal: No Solution
Moving to Node #0,2,3
Current State: 81:[27, 88], Operations: ['13-5=8', '80+8=88']
Exploring Operation: 27+88=115, Resulting Numbers: [115]
115,81 unequal: No Solution
Exploring Operation: 88-27=61, Resulting Numbers: [61]
61,81 unequal: No Solution
Exploring Operation: 27*88=2376, Resulting Numbers: [2376]
2376,81 unequal: No Solution
Moving to Node #0,2,1
Current State: 81:[27, 72], Operations: ['13-5=8', '80-8=72']
Exploring Operation: 27*72=1944, Resulting Numbers: [1944]
1944,81 unequal: No Solution
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,81 unequal: No Solution
Exploring Operation: 27+72=99, Resulting Numbers: [99]
99,81 unequal: No Solution
Moving to Node #0,2,0
Current State: 81:[80, 35], Operations: ['13-5=8', '27+8=35']
Exploring Operation: 80*35=2800, Resulting Numbers: [2800]
2800,81 unequal: No Solution
Exploring Operation: 80+35=115, Resulting Numbers: [115]
115,81 unequal: No Solution
Exploring Operation: 80-35=45, Resulting Numbers: [45]
45,81 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: 81:[80, 5, 14], Operations: ['27-13=14']
Exploring Operation: 14-5=9, Resulting Numbers: [80, 9]
Generated Node #0,0,0: 81:[80, 9] Operation: 14-5=9
Exploring Operation: 80+5=85, Resulting Numbers: [14, 85]
Generated Node #0,0,1: 81:[14, 85] Operation: 80+5=85
Exploring Operation: 80-5=75, Resulting Numbers: [14, 75]
Generated Node #0,0,2: 81:[14, 75] Operation: 80-5=75
Exploring Operation: 5+14=19, Resulting Numbers: [80, 19]
Generated Node #0,0,3: 81:[80, 19] Operation: 5+14=19
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 81:[80, 9], Operations: ['27-13=14', '14-5=9']
Exploring Operation: 80*9=720, Resulting Numbers: [720]
720,81 unequal: No Solution
Exploring Operation: 80+9=89, Resulting Numbers: [89]
89,81 unequal: No Solution
Exploring Operation: 80-9=71, Resulting Numbers: [71]
71,81 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: 81:[14, 85], Operations: ['27-13=14', '80+5=85']
Exploring Operation: 14+85=99, Resulting Numbers: [99]
99,81 unequal: No Solution
Exploring Operation: 14*85=1190, Resulting Numbers: [1190]
1190,81 unequal: No Solution
Exploring Operation: 85-14=71, Resulting Numbers: [71]
71,81 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: 81:[80, 19], Operations: ['27-13=14', '5+14=19']
Exploring Operation: 80*19=1520, Resulting Numbers: [1520]
1520,81 unequal: No Solution
Exploring Operation: 80+19=99, Resulting Numbers: [99]
99,81 unequal: No Solution
Exploring Operation: 80-19=61, Resulting Numbers: [61]
61,81 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: 81:[14, 75], Operations: ['27-13=14', '80-5=75']
Exploring Operation: 14*75=1050, Resulting Numbers: [1050]
1050,81 unequal: No Solution
Exploring Operation: 75-14=61, Resulting Numbers: [61]
61,81 unequal: No Solution
Exploring Operation: 14+75=89, Resulting Numbers: [89]
89,81 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: 81:[13, 27, 85], Operations: ['80+5=85']
Exploring Operation: 27-13=14, Resulting Numbers: [85, 14]
Generated Node #0,1,0: 81:[85, 14] Operation: 27-13=14
Exploring Operation: 13+27=40, Resulting Numbers: [85, 40]
Generated Node #0,1,1: 81:[85, 40] Operation: 13+27=40
Exploring Operation: 85-13=72, Resulting Numbers: [27, 72]
Generated Node #0,1,2: 81:[27, 72] Operation: 85-13=72
Exploring Operation: 13+85=98, Resulting Numbers: [27, 98]
Generated Node #0,1,3: 81:[27, 98] Operation: 13+85=98
Moving to Node #0,1,0
Current State: 81:[85, 14], Operations: ['80+5=85', '27-13=14']
Exploring Operation: 85+14=99, Resulting Numbers: [99]
99,81 unequal: No Solution
Exploring Operation: 85-14=71, Resulting Numbers: [71]
71,81 unequal: No Solution
Exploring Operation: 85*14=1190, Resulting Numbers: [1190]
1190,81 unequal: No Solution
Moving to Node #0,1,2
Current State: 81:[27, 72], Operations: ['80+5=85', '85-13=72']
Exploring Operation: 27*72=1944, Resulting Numbers: [1944]
1944,81 unequal: No Solution
Exploring Operation: 27+72=99, Resulting Numbers: [99]
99,81 unequal: No Solution
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,81 unequal: No Solution
Moving to Node #0,1,3
Current State: 81:[27, 98], Operations: ['80+5=85', '13+85=98']
Exploring Operation: 98-27=71, Resulting Numbers: [71]
71,81 unequal: No Solution
Exploring Operation: 27+98=125, Resulting Numbers: [125]
125,81 unequal: No Solution
Exploring Operation: 27*98=2646, Resulting Numbers: [2646]
2646,81 unequal: No Solution
Moving to Node #0,1,1
Current State: 81:[85, 40], Operations: ['80+5=85', '13+27=40']
Exploring Operation: 85+40=125, Resulting Numbers: [125]
125,81 unequal: No Solution
Exploring Operation: 85-40=45, Resulting Numbers: [45]
45,81 unequal: No Solution
Exploring Operation: 85*40=3400, Resulting Numbers: [3400]
3400,81 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: 81:[13, 27, 75], Operations: ['80-5=75']
Exploring Operation: 13+27=40, Resulting Numbers: [75, 40]
Generated Node #0,3,0: 81:[75, 40] Operation: 13+27=40
Exploring Operation: 27-13=14, Resulting Numbers: [75, 14]
Generated Node #0,3,1: 81:[75, 14] Operation: 27-13=14
Exploring Operation: 13+75=88, Resulting Numbers: [27, 88]
Generated Node #0,3,2: 81:[27, 88] Operation: 13+75=88
Exploring Operation: 75-13=62, Resulting Numbers: [27, 62]
Generated Node #0,3,3: 81:[27, 62] Operation: 75-13=62
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 81:[27, 88], Operations: ['80-5=75', '13+75=88']
Exploring Operation: 88-27=61, Resulting Numbers: [61]
61,81 unequal: No Solution
Exploring Operation: 27+88=115, Resulting Numbers: [115]
115,81 unequal: No Solution
Exploring Operation: 27*88=2376, Resulting Numbers: [2376]
2376,81 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: 81:[75, 14], Operations: ['80-5=75', '27-13=14']
Exploring Operation: 75-14=61, Resulting Numbers: [61]
61,81 unequal: No Solution
Exploring Operation: 75*14=1050, Resulting Numbers: [1050]
1050,81 unequal: No Solution
Exploring Operation: 75+14=89, Resulting Numbers: [89]
89,81 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: 81:[75, 40], Operations: ['80-5=75', '13+27=40']
Exploring Operation: 75+40=115, Resulting Numbers: [115]
115,81 unequal: No Solution
Exploring Operation: 75-40=35, Resulting Numbers: [35]
35,81 unequal: No Solution
Exploring Operation: 75*40=3000, Resulting Numbers: [3000]
3000,81 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: 81:[27, 62], Operations: ['80-5=75', '75-13=62']
Exploring Operation: 27*62=1674, Resulting Numbers: [1674]
1674,81 unequal: No Solution
Exploring Operation: 62-27=35, Resulting Numbers: [35]
35,81 unequal: No Solution
Exploring Operation: 27+62=89, Resulting Numbers: [89]
89,81 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 |
[
13,
76,
87,
43
] | 66 | [
"87+43=130",
"130/13=10",
"76-10=66"
] | Current State: 66:[13, 76, 87, 43], Operations: []
Exploring Operation: 87+43=130, Resulting Numbers: [13, 76, 130]
Generated Node #2: [13, 76, 130] from Operation: 87+43=130
Current State: 66:[13, 76, 130], Operations: ['87+43=130']
Exploring Operation: 130/13=10, Resulting Numbers: [76, 10]
Generated Node #3: [76, 10] from Operation: 130/13=10
Current State: 66:[76, 10], Operations: ['87+43=130', '130/13=10']
Exploring Operation: 76-10=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[13, 76, 87, 43], Operations: []
Exploring Operation: 87-43=44, Resulting Numbers: [13, 76, 44]
Generated Node #0,0: 66:[13, 76, 44] Operation: 87-43=44
Exploring Operation: 87-76=11, Resulting Numbers: [13, 43, 11]
Generated Node #0,1: 66:[13, 43, 11] Operation: 87-76=11
Exploring Operation: 76-43=33, Resulting Numbers: [13, 87, 33]
Generated Node #0,2: 66:[13, 87, 33] Operation: 76-43=33
Exploring Operation: 87-13=74, Resulting Numbers: [76, 43, 74]
Generated Node #0,3: 66:[76, 43, 74] Operation: 87-13=74
Start Sub Search at level 1: Moving to Node #0,1
Current State: 66:[13, 43, 11], Operations: ['87-76=11']
Exploring Operation: 43-13=30, Resulting Numbers: [11, 30]
Generated Node #0,1,0: 66:[11, 30] Operation: 43-13=30
Exploring Operation: 13+43=56, Resulting Numbers: [11, 56]
Generated Node #0,1,1: 66:[11, 56] Operation: 13+43=56
Exploring Operation: 13-11=2, Resulting Numbers: [43, 2]
Generated Node #0,1,2: 66:[43, 2] Operation: 13-11=2
Exploring Operation: 43-11=32, Resulting Numbers: [13, 32]
Generated Node #0,1,3: 66:[13, 32] Operation: 43-11=32
Moving to Node #0,1,0
Current State: 66:[11, 30], Operations: ['87-76=11', '43-13=30']
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,66 unequal: No Solution
Exploring Operation: 11*30=330, Resulting Numbers: [330]
330,66 unequal: No Solution
Exploring Operation: 11+30=41, Resulting Numbers: [41]
41,66 unequal: No Solution
Moving to Node #0,1,3
Current State: 66:[13, 32], Operations: ['87-76=11', '43-11=32']
Exploring Operation: 13+32=45, Resulting Numbers: [45]
45,66 unequal: No Solution
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,66 unequal: No Solution
Exploring Operation: 13*32=416, Resulting Numbers: [416]
416,66 unequal: No Solution
Moving to Node #0,1,2
Current State: 66:[43, 2], Operations: ['87-76=11', '13-11=2']
Exploring Operation: 43+2=45, Resulting Numbers: [45]
45,66 unequal: No Solution
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,66 unequal: No Solution
Exploring Operation: 43*2=86, Resulting Numbers: [86]
86,66 unequal: No Solution
Moving to Node #0,1,1
Current State: 66:[11, 56], Operations: ['87-76=11', '13+43=56']
Exploring Operation: 11*56=616, Resulting Numbers: [616]
616,66 unequal: No Solution
Exploring Operation: 11+56=67, Resulting Numbers: [67]
67,66 unequal: No Solution
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,66 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: 66:[13, 76, 44], Operations: ['87-43=44']
Exploring Operation: 76-44=32, Resulting Numbers: [13, 32]
Generated Node #0,0,0: 66:[13, 32] Operation: 76-44=32
Exploring Operation: 44-13=31, Resulting Numbers: [76, 31]
Generated Node #0,0,1: 66:[76, 31] Operation: 44-13=31
Exploring Operation: 76-13=63, Resulting Numbers: [44, 63]
Generated Node #0,0,2: 66:[44, 63] Operation: 76-13=63
Exploring Operation: 13+44=57, Resulting Numbers: [76, 57]
Generated Node #0,0,3: 66:[76, 57] Operation: 13+44=57
Moving to Node #0,0,0
Current State: 66:[13, 32], Operations: ['87-43=44', '76-44=32']
Exploring Operation: 13+32=45, Resulting Numbers: [45]
45,66 unequal: No Solution
Exploring Operation: 13*32=416, Resulting Numbers: [416]
416,66 unequal: No Solution
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,66 unequal: No Solution
Moving to Node #0,0,1
Current State: 66:[76, 31], Operations: ['87-43=44', '44-13=31']
Exploring Operation: 76*31=2356, Resulting Numbers: [2356]
2356,66 unequal: No Solution
Exploring Operation: 76-31=45, Resulting Numbers: [45]
45,66 unequal: No Solution
Exploring Operation: 76+31=107, Resulting Numbers: [107]
107,66 unequal: No Solution
Moving to Node #0,0,2
Current State: 66:[44, 63], Operations: ['87-43=44', '76-13=63']
Exploring Operation: 44*63=2772, Resulting Numbers: [2772]
2772,66 unequal: No Solution
Exploring Operation: 63-44=19, Resulting Numbers: [19]
19,66 unequal: No Solution
Exploring Operation: 44+63=107, Resulting Numbers: [107]
107,66 unequal: No Solution
Moving to Node #0,0,3
Current State: 66:[76, 57], Operations: ['87-43=44', '13+44=57']
Exploring Operation: 76-57=19, Resulting Numbers: [19]
19,66 unequal: No Solution
Exploring Operation: 76*57=4332, Resulting Numbers: [4332]
4332,66 unequal: No Solution
Exploring Operation: 76+57=133, Resulting Numbers: [133]
133,66 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: 66:[13, 87, 33], Operations: ['76-43=33']
Exploring Operation: 87-13=74, Resulting Numbers: [33, 74]
Generated Node #0,2,0: 66:[33, 74] Operation: 87-13=74
Exploring Operation: 13+87=100, Resulting Numbers: [33, 100]
Generated Node #0,2,1: 66:[33, 100] Operation: 13+87=100
Exploring Operation: 87-33=54, Resulting Numbers: [13, 54]
Generated Node #0,2,2: 66:[13, 54] Operation: 87-33=54
Exploring Operation: 33-13=20, Resulting Numbers: [87, 20]
Generated Node #0,2,3: 66:[87, 20] Operation: 33-13=20
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 66:[33, 74], Operations: ['76-43=33', '87-13=74']
Exploring Operation: 33*74=2442, Resulting Numbers: [2442]
2442,66 unequal: No Solution
Exploring Operation: 33+74=107, Resulting Numbers: [107]
107,66 unequal: No Solution
Exploring Operation: 74-33=41, Resulting Numbers: [41]
41,66 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: 66:[13, 54], Operations: ['76-43=33', '87-33=54']
Exploring Operation: 13+54=67, Resulting Numbers: [67]
67,66 unequal: No Solution
Exploring Operation: 54-13=41, Resulting Numbers: [41]
41,66 unequal: No Solution
Exploring Operation: 13*54=702, Resulting Numbers: [702]
702,66 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: 66:[87, 20], Operations: ['76-43=33', '33-13=20']
Exploring Operation: 87*20=1740, Resulting Numbers: [1740]
1740,66 unequal: No Solution
Exploring Operation: 87+20=107, Resulting Numbers: [107]
107,66 unequal: No Solution
Exploring Operation: 87-20=67, Resulting Numbers: [67]
67,66 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: 66:[33, 100], Operations: ['76-43=33', '13+87=100']
Exploring Operation: 33+100=133, Resulting Numbers: [133]
133,66 unequal: No Solution
Exploring Operation: 33*100=3300, Resulting Numbers: [3300]
3300,66 unequal: No Solution
Exploring Operation: 100-33=67, Resulting Numbers: [67]
67,66 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: 66:[76, 43, 74], Operations: ['87-13=74']
Exploring Operation: 76+43=119, Resulting Numbers: [74, 119]
Generated Node #0,3,0: 66:[74, 119] Operation: 76+43=119
Exploring Operation: 76-74=2, Resulting Numbers: [43, 2]
Generated Node #0,3,1: 66:[43, 2] Operation: 76-74=2
Exploring Operation: 74-43=31, Resulting Numbers: [76, 31]
Generated Node #0,3,2: 66:[76, 31] Operation: 74-43=31
Exploring Operation: 76-43=33, Resulting Numbers: [74, 33]
Generated Node #0,3,3: 66:[74, 33] Operation: 76-43=33
Moving to Node #0,3,3
Current State: 66:[74, 33], Operations: ['87-13=74', '76-43=33']
Exploring Operation: 74-33=41, Resulting Numbers: [41]
41,66 unequal: No Solution
Exploring Operation: 74+33=107, Resulting Numbers: [107]
107,66 unequal: No Solution
Exploring Operation: 74*33=2442, Resulting Numbers: [2442]
2442,66 unequal: No Solution
Moving to Node #0,3,1
Current State: 66:[43, 2], Operations: ['87-13=74', '76-74=2']
Exploring Operation: 43+2=45, Resulting Numbers: [45]
45,66 unequal: No Solution
Exploring Operation: 43*2=86, Resulting Numbers: [86]
86,66 unequal: No Solution
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,66 unequal: No Solution
Moving to Node #0,3,2
Current State: 66:[76, 31], Operations: ['87-13=74', '74-43=31']
Exploring Operation: 76-31=45, Resulting Numbers: [45]
45,66 unequal: No Solution
Exploring Operation: 76*31=2356, Resulting Numbers: [2356]
2356,66 unequal: No Solution
Exploring Operation: 76+31=107, Resulting Numbers: [107]
107,66 unequal: No Solution
Moving to Node #0,3,0
Current State: 66:[74, 119], Operations: ['87-13=74', '76+43=119']
Exploring Operation: 119-74=45, Resulting Numbers: [45]
45,66 unequal: No Solution
Exploring Operation: 74*119=8806, Resulting Numbers: [8806]
8806,66 unequal: No Solution
Exploring Operation: 74+119=193, Resulting Numbers: [193]
193,66 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 |
[
33,
36,
38,
39
] | 36 | [
"33+39=72",
"38-36=2",
"72/2=36"
] | Current State: 36:[33, 36, 38, 39], Operations: []
Exploring Operation: 33+39=72, Resulting Numbers: [36, 38, 72]
Generated Node #2: [36, 38, 72] from Operation: 33+39=72
Current State: 36:[36, 38, 72], Operations: ['33+39=72']
Exploring Operation: 38-36=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 38-36=2
Current State: 36:[72, 2], Operations: ['33+39=72', '38-36=2']
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[33, 36, 38, 39], Operations: []
Exploring Operation: 38-33=5, Resulting Numbers: [36, 39, 5]
Generated Node #0,0: 36:[36, 39, 5] Operation: 38-33=5
Exploring Operation: 39-33=6, Resulting Numbers: [36, 38, 6]
Generated Node #0,1: 36:[36, 38, 6] Operation: 39-33=6
Moving to Node #0,1
Current State: 36:[36, 38, 6], Operations: ['39-33=6']
Exploring Operation: 38-36=2, Resulting Numbers: [6, 2]
Generated Node #0,1,0: 36:[6, 2] Operation: 38-36=2
Exploring Operation: 36/6=6, Resulting Numbers: [38, 6]
Generated Node #0,1,1: 36:[38, 6] Operation: 36/6=6
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 36:[6, 2], Operations: ['39-33=6', '38-36=2']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,36 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: 36:[38, 6], Operations: ['39-33=6', '36/6=6']
Exploring Operation: 38+6=44, Resulting Numbers: [44]
44,36 unequal: No Solution
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,36 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: 36:[36, 39, 5], Operations: ['38-33=5']
Exploring Operation: 39-5=34, Resulting Numbers: [36, 34]
Generated Node #0,0,0: 36:[36, 34] Operation: 39-5=34
Exploring Operation: 39-36=3, Resulting Numbers: [5, 3]
Generated Node #0,0,1: 36:[5, 3] Operation: 39-36=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 36:[5, 3], Operations: ['38-33=5', '39-36=3']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,36 unequal: No Solution
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,36 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: 36:[36, 34], Operations: ['38-33=5', '39-5=34']
Exploring Operation: 36-34=2, Resulting Numbers: [2]
2,36 unequal: No Solution
Exploring Operation: 36+34=70, Resulting Numbers: [70]
70,36 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 |
[
93,
30,
54,
28
] | 37 | [
"93-30=63",
"54-28=26",
"63-26=37"
] | Current State: 37:[93, 30, 54, 28], Operations: []
Exploring Operation: 93-30=63, Resulting Numbers: [54, 28, 63]
Generated Node #2: [54, 28, 63] from Operation: 93-30=63
Current State: 37:[54, 28, 63], Operations: ['93-30=63']
Exploring Operation: 54-28=26, Resulting Numbers: [63, 26]
Generated Node #3: [63, 26] from Operation: 54-28=26
Current State: 37:[63, 26], Operations: ['93-30=63', '54-28=26']
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[93, 30, 54, 28], Operations: []
Exploring Operation: 93-28=65, Resulting Numbers: [30, 54, 65]
Generated Node #0,0: 37:[30, 54, 65] Operation: 93-28=65
Exploring Operation: 93-30=63, Resulting Numbers: [54, 28, 63]
Generated Node #0,1: 37:[54, 28, 63] Operation: 93-30=63
Exploring Operation: 93-54=39, Resulting Numbers: [30, 28, 39]
Generated Node #0,2: 37:[30, 28, 39] Operation: 93-54=39
Start Sub Search at level 1: Moving to Node #0,2
Current State: 37:[30, 28, 39], Operations: ['93-54=39']
Exploring Operation: 30-28=2, Resulting Numbers: [39, 2]
Generated Node #0,2,0: 37:[39, 2] Operation: 30-28=2
Exploring Operation: 39-28=11, Resulting Numbers: [30, 11]
Generated Node #0,2,1: 37:[30, 11] Operation: 39-28=11
Exploring Operation: 30+28=58, Resulting Numbers: [39, 58]
Generated Node #0,2,2: 37:[39, 58] Operation: 30+28=58
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 37:[39, 58], Operations: ['93-54=39', '30+28=58']
Exploring Operation: 58-39=19, Resulting Numbers: [19]
19,37 unequal: No Solution
Exploring Operation: 39+58=97, Resulting Numbers: [97]
97,37 unequal: No Solution
Exploring Operation: 39*58=2262, Resulting Numbers: [2262]
2262,37 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: 37:[30, 11], Operations: ['93-54=39', '39-28=11']
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,37 unequal: No Solution
Exploring Operation: 30+11=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 30*11=330, Resulting Numbers: [330]
330,37 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: 37:[39, 2], Operations: ['93-54=39', '30-28=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,37 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[93, 30, 54, 28], Operations: []
Exploring Operation: 93-54=39, Resulting Numbers: [30, 28, 39]
Generated Node #0,2: 37:[30, 28, 39] Operation: 93-54=39
Moving to Node #0,2
Current State: 37:[30, 28, 39], Operations: ['93-54=39']
Exploring Operation: 30-28=2, Resulting Numbers: [39, 2]
Generated Node #0,2,0: 37:[39, 2] Operation: 30-28=2
Moving to Node #0,2,0
Current State: 37:[39, 2], Operations: ['93-54=39', '30-28=2']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_3 | mult_heuristic |
[
8,
86,
4,
47
] | 10 | [
"47-4=43",
"86/43=2",
"8+2=10"
] | Current State: 10:[8, 86, 4, 47], Operations: []
Exploring Operation: 47-4=43, Resulting Numbers: [8, 86, 43]
Generated Node #2: [8, 86, 43] from Operation: 47-4=43
Current State: 10:[8, 86, 43], Operations: ['47-4=43']
Exploring Operation: 86/43=2, Resulting Numbers: [8, 2]
Generated Node #3: [8, 2] from Operation: 86/43=2
Current State: 10:[8, 2], Operations: ['47-4=43', '86/43=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[8, 86, 4, 47], Operations: []
Exploring Operation: 86-8=78, Resulting Numbers: [4, 47, 78]
Generated Node #0,0: 10:[4, 47, 78] Operation: 86-8=78
Exploring Operation: 47-8=39, Resulting Numbers: [86, 4, 39]
Generated Node #0,1: 10:[86, 4, 39] Operation: 47-8=39
Exploring Operation: 86-47=39, Resulting Numbers: [8, 4, 39]
Generated Node #0,2: 10:[8, 4, 39] Operation: 86-47=39
Moving to Node #0,2
Current State: 10:[8, 4, 39], Operations: ['86-47=39']
Exploring Operation: 8/4=2, Resulting Numbers: [39, 2]
Generated Node #0,2,0: 10:[39, 2] Operation: 8/4=2
Exploring Operation: 39-8=31, Resulting Numbers: [4, 31]
Generated Node #0,2,1: 10:[4, 31] Operation: 39-8=31
Exploring Operation: 39-4=35, Resulting Numbers: [8, 35]
Generated Node #0,2,2: 10:[8, 35] Operation: 39-4=35
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 10:[4, 31], Operations: ['86-47=39', '39-8=31']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,10 unequal: No Solution
Exploring Operation: 4+31=35, Resulting Numbers: [35]
35,10 unequal: No Solution
Exploring Operation: 4*31=124, Resulting Numbers: [124]
124,10 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 #0,2,2
Current State: 10:[8, 35], Operations: ['86-47=39', '39-4=35']
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,10 unequal: No Solution
Exploring Operation: 8+35=43, Resulting Numbers: [43]
43,10 unequal: No Solution
Exploring Operation: 8*35=280, Resulting Numbers: [280]
280,10 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 #0,2,0
Current State: 10:[39, 2], Operations: ['86-47=39', '8/4=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,10 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,10 unequal: No Solution
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,10 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:[4, 47, 78], Operations: ['86-8=78']
Exploring Operation: 78-47=31, Resulting Numbers: [4, 31]
Generated Node #0,0,0: 10:[4, 31] Operation: 78-47=31
Exploring Operation: 78-4=74, Resulting Numbers: [47, 74]
Generated Node #0,0,1: 10:[47, 74] Operation: 78-4=74
Exploring Operation: 47-4=43, Resulting Numbers: [78, 43]
Generated Node #0,0,2: 10:[78, 43] Operation: 47-4=43
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 10:[4, 31], Operations: ['86-8=78', '78-47=31']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,10 unequal: No Solution
Exploring Operation: 4*31=124, Resulting Numbers: [124]
124,10 unequal: No Solution
Exploring Operation: 4+31=35, Resulting Numbers: [35]
35,10 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 #0,0,1
Current State: 10:[47, 74], Operations: ['86-8=78', '78-4=74']
Exploring Operation: 47*74=3478, Resulting Numbers: [3478]
3478,10 unequal: No Solution
Exploring Operation: 74-47=27, Resulting Numbers: [27]
27,10 unequal: No Solution
Exploring Operation: 47+74=121, Resulting Numbers: [121]
121,10 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 #0,0,2
Current State: 10:[78, 43], Operations: ['86-8=78', '47-4=43']
Exploring Operation: 78*43=3354, Resulting Numbers: [3354]
3354,10 unequal: No Solution
Exploring Operation: 78+43=121, Resulting Numbers: [121]
121,10 unequal: No Solution
Exploring Operation: 78-43=35, Resulting Numbers: [35]
35,10 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: 10:[86, 4, 39], Operations: ['47-8=39']
Exploring Operation: 86-4=82, Resulting Numbers: [39, 82]
Generated Node #0,1,0: 10:[39, 82] Operation: 86-4=82
Exploring Operation: 86-39=47, Resulting Numbers: [4, 47]
Generated Node #0,1,1: 10:[4, 47] Operation: 86-39=47
Exploring Operation: 39-4=35, Resulting Numbers: [86, 35]
Generated Node #0,1,2: 10:[86, 35] Operation: 39-4=35
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 10:[4, 47], Operations: ['47-8=39', '86-39=47']
Exploring Operation: 4+47=51, Resulting Numbers: [51]
51,10 unequal: No Solution
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,10 unequal: No Solution
Exploring Operation: 4*47=188, Resulting Numbers: [188]
188,10 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:[39, 82], Operations: ['47-8=39', '86-4=82']
Exploring Operation: 39*82=3198, Resulting Numbers: [3198]
3198,10 unequal: No Solution
Exploring Operation: 82-39=43, Resulting Numbers: [43]
43,10 unequal: No Solution
Exploring Operation: 39+82=121, Resulting Numbers: [121]
121,10 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 #0,1,2
Current State: 10:[86, 35], Operations: ['47-8=39', '39-4=35']
Exploring Operation: 86+35=121, Resulting Numbers: [121]
121,10 unequal: No Solution
Exploring Operation: 86-35=51, Resulting Numbers: [51]
51,10 unequal: No Solution
Exploring Operation: 86*35=3010, Resulting Numbers: [3010]
3010,10 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 |
[
98,
30,
83,
15
] | 17 | [
"98-83=15",
"30/15=2",
"15+2=17"
] | Current State: 17:[98, 30, 83, 15], Operations: []
Exploring Operation: 98-83=15, Resulting Numbers: [30, 15, 15]
Generated Node #2: [30, 15, 15] from Operation: 98-83=15
Current State: 17:[30, 15, 15], Operations: ['98-83=15']
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,17 equal: Goal Reached
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[98, 30, 83, 15], Operations: []
Exploring Operation: 98-83=15, Resulting Numbers: [30, 15, 15]
Generated Node #0,0: 17:[30, 15, 15] Operation: 98-83=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[30, 15, 15], Operations: ['98-83=15']
Exploring Operation: 30-15=15, Resulting Numbers: [15, 15]
Generated Node #0,0,0: 17:[15, 15] Operation: 30-15=15
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 17:[15, 15], Operations: ['98-83=15', '30-15=15']
Exploring Operation: 15+15=30, Resulting Numbers: [30]
30,17 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_1 | mult_heuristic |
[
11,
22,
10,
50
] | 93 | [
"11+22=33",
"10+50=60",
"33+60=93"
] | Current State: 93:[11, 22, 10, 50], Operations: []
Exploring Operation: 11+22=33, Resulting Numbers: [10, 50, 33]
Generated Node #2: [10, 50, 33] from Operation: 11+22=33
Current State: 93:[10, 50, 33], Operations: ['11+22=33']
Exploring Operation: 10+50=60, Resulting Numbers: [33, 60]
Generated Node #3: [33, 60] from Operation: 10+50=60
Current State: 93:[33, 60], Operations: ['11+22=33', '10+50=60']
Exploring Operation: 33+60=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[11, 22, 10, 50], Operations: []
Exploring Operation: 50/10=5, Resulting Numbers: [11, 22, 5]
Generated Node #0,0: 93:[11, 22, 5] Operation: 50/10=5
Exploring Operation: 50-22=28, Resulting Numbers: [11, 10, 28]
Generated Node #0,1: 93:[11, 10, 28] Operation: 50-22=28
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[11, 10, 28], Operations: ['50-22=28']
Exploring Operation: 11-10=1, Resulting Numbers: [28, 1]
Generated Node #0,1,0: 93:[28, 1] Operation: 11-10=1
Exploring Operation: 11+10=21, Resulting Numbers: [28, 21]
Generated Node #0,1,1: 93:[28, 21] Operation: 11+10=21
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 93:[28, 1], Operations: ['50-22=28', '11-10=1']
Exploring Operation: 28+1=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Exploring Operation: 28*1=28, Resulting Numbers: [28]
28,93 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: 93:[28, 21], Operations: ['50-22=28', '11+10=21']
Exploring Operation: 28+21=49, Resulting Numbers: [49]
49,93 unequal: No Solution
Exploring Operation: 28-21=7, Resulting Numbers: [7]
7,93 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: 93:[11, 22, 5], Operations: ['50/10=5']
Exploring Operation: 22/11=2, Resulting Numbers: [5, 2]
Generated Node #0,0,0: 93:[5, 2] Operation: 22/11=2
Exploring Operation: 11+22=33, Resulting Numbers: [5, 33]
Generated Node #0,0,1: 93:[5, 33] Operation: 11+22=33
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 93:[5, 2], Operations: ['50/10=5', '22/11=2']
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,93 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,93 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: 93:[5, 33], Operations: ['50/10=5', '11+22=33']
Exploring Operation: 5+33=38, Resulting Numbers: [38]
38,93 unequal: No Solution
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,93 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 |
[
18,
62,
74,
64
] | 19 | [
"64-62=2",
"74/2=37",
"37-18=19"
] | Current State: 19:[18, 62, 74, 64], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [18, 74, 2]
Generated Node #2: [18, 74, 2] from Operation: 64-62=2
Current State: 19:[18, 74, 2], Operations: ['64-62=2']
Exploring Operation: 74/2=37, Resulting Numbers: [18, 37]
Generated Node #3: [18, 37] from Operation: 74/2=37
Current State: 19:[18, 37], Operations: ['64-62=2', '74/2=37']
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[18, 62, 74, 64], Operations: []
Exploring Operation: 74-62=12, Resulting Numbers: [18, 64, 12]
Generated Node #0,0: 19:[18, 64, 12] Operation: 74-62=12
Moving to Node #0,0
Current State: 19:[18, 64, 12], Operations: ['74-62=12']
Exploring Operation: 64-18=46, Resulting Numbers: [12, 46]
Generated Node #0,0,0: 19:[12, 46] Operation: 64-18=46
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 19:[12, 46], Operations: ['74-62=12', '64-18=46']
Exploring Operation: 46-12=34, Resulting Numbers: [34]
34,19 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 |
[
41,
5,
74,
93
] | 72 | [
"74-41=33",
"5*33=165",
"165-93=72"
] | Current State: 72:[41, 5, 74, 93], Operations: []
Exploring Operation: 74-41=33, Resulting Numbers: [5, 93, 33]
Generated Node #2: [5, 93, 33] from Operation: 74-41=33
Current State: 72:[5, 93, 33], Operations: ['74-41=33']
Exploring Operation: 5*33=165, Resulting Numbers: [93, 165]
Generated Node #3: [93, 165] from Operation: 5*33=165
Current State: 72:[93, 165], Operations: ['74-41=33', '5*33=165']
Exploring Operation: 165-93=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[41, 5, 74, 93], Operations: []
Exploring Operation: 93-5=88, Resulting Numbers: [41, 74, 88]
Generated Node #0,0: 72:[41, 74, 88] Operation: 93-5=88
Exploring Operation: 93-41=52, Resulting Numbers: [5, 74, 52]
Generated Node #0,1: 72:[5, 74, 52] Operation: 93-41=52
Exploring Operation: 93-74=19, Resulting Numbers: [41, 5, 19]
Generated Node #0,2: 72:[41, 5, 19] Operation: 93-74=19
Exploring Operation: 41-5=36, Resulting Numbers: [74, 93, 36]
Generated Node #0,3: 72:[74, 93, 36] Operation: 41-5=36
Start Sub Search at level 1: Moving to Node #0,2
Current State: 72:[41, 5, 19], Operations: ['93-74=19']
Exploring Operation: 41-19=22, Resulting Numbers: [5, 22]
Generated Node #0,2,0: 72:[5, 22] Operation: 41-19=22
Exploring Operation: 19-5=14, Resulting Numbers: [41, 14]
Generated Node #0,2,1: 72:[41, 14] Operation: 19-5=14
Exploring Operation: 5+19=24, Resulting Numbers: [41, 24]
Generated Node #0,2,2: 72:[41, 24] Operation: 5+19=24
Exploring Operation: 41-5=36, Resulting Numbers: [19, 36]
Generated Node #0,2,3: 72:[19, 36] Operation: 41-5=36
Moving to Node #0,2,3
Current State: 72:[19, 36], Operations: ['93-74=19', '41-5=36']
Exploring Operation: 19+36=55, Resulting Numbers: [55]
55,72 unequal: No Solution
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Exploring Operation: 19*36=684, Resulting Numbers: [684]
684,72 unequal: No Solution
Moving to Node #0,2,0
Current State: 72:[5, 22], Operations: ['93-74=19', '41-19=22']
Exploring Operation: 5+22=27, Resulting Numbers: [27]
27,72 unequal: No Solution
Exploring Operation: 5*22=110, Resulting Numbers: [110]
110,72 unequal: No Solution
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Moving to Node #0,2,2
Current State: 72:[41, 24], Operations: ['93-74=19', '5+19=24']
Exploring Operation: 41-24=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Exploring Operation: 41*24=984, Resulting Numbers: [984]
984,72 unequal: No Solution
Exploring Operation: 41+24=65, Resulting Numbers: [65]
65,72 unequal: No Solution
Moving to Node #0,2,1
Current State: 72:[41, 14], Operations: ['93-74=19', '19-5=14']
Exploring Operation: 41-14=27, Resulting Numbers: [27]
27,72 unequal: No Solution
Exploring Operation: 41+14=55, Resulting Numbers: [55]
55,72 unequal: No Solution
Exploring Operation: 41*14=574, Resulting Numbers: [574]
574,72 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: 72:[5, 74, 52], Operations: ['93-41=52']
Exploring Operation: 5+52=57, Resulting Numbers: [74, 57]
Generated Node #0,1,0: 72:[74, 57] Operation: 5+52=57
Exploring Operation: 74-52=22, Resulting Numbers: [5, 22]
Generated Node #0,1,1: 72:[5, 22] Operation: 74-52=22
Exploring Operation: 52-5=47, Resulting Numbers: [74, 47]
Generated Node #0,1,2: 72:[74, 47] Operation: 52-5=47
Exploring Operation: 74-5=69, Resulting Numbers: [52, 69]
Generated Node #0,1,3: 72:[52, 69] Operation: 74-5=69
Moving to Node #0,1,1
Current State: 72:[5, 22], Operations: ['93-41=52', '74-52=22']
Exploring Operation: 5*22=110, Resulting Numbers: [110]
110,72 unequal: No Solution
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Exploring Operation: 5+22=27, Resulting Numbers: [27]
27,72 unequal: No Solution
Moving to Node #0,1,2
Current State: 72:[74, 47], Operations: ['93-41=52', '52-5=47']
Exploring Operation: 74*47=3478, Resulting Numbers: [3478]
3478,72 unequal: No Solution
Exploring Operation: 74+47=121, Resulting Numbers: [121]
121,72 unequal: No Solution
Exploring Operation: 74-47=27, Resulting Numbers: [27]
27,72 unequal: No Solution
Moving to Node #0,1,0
Current State: 72:[74, 57], Operations: ['93-41=52', '5+52=57']
Exploring Operation: 74+57=131, Resulting Numbers: [131]
131,72 unequal: No Solution
Exploring Operation: 74*57=4218, Resulting Numbers: [4218]
4218,72 unequal: No Solution
Exploring Operation: 74-57=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Moving to Node #0,1,3
Current State: 72:[52, 69], Operations: ['93-41=52', '74-5=69']
Exploring Operation: 52*69=3588, Resulting Numbers: [3588]
3588,72 unequal: No Solution
Exploring Operation: 52+69=121, Resulting Numbers: [121]
121,72 unequal: No Solution
Exploring Operation: 69-52=17, Resulting Numbers: [17]
17,72 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: 72:[41, 74, 88], Operations: ['93-5=88']
Exploring Operation: 88-74=14, Resulting Numbers: [41, 14]
Generated Node #0,0,0: 72:[41, 14] Operation: 88-74=14
Exploring Operation: 74-41=33, Resulting Numbers: [88, 33]
Generated Node #0,0,1: 72:[88, 33] Operation: 74-41=33
Exploring Operation: 88-41=47, Resulting Numbers: [74, 47]
Generated Node #0,0,2: 72:[74, 47] Operation: 88-41=47
Exploring Operation: 41+74=115, Resulting Numbers: [88, 115]
Generated Node #0,0,3: 72:[88, 115] Operation: 41+74=115
Moving to Node #0,0,0
Current State: 72:[41, 14], Operations: ['93-5=88', '88-74=14']
Exploring Operation: 41*14=574, Resulting Numbers: [574]
574,72 unequal: No Solution
Exploring Operation: 41+14=55, Resulting Numbers: [55]
55,72 unequal: No Solution
Exploring Operation: 41-14=27, Resulting Numbers: [27]
27,72 unequal: No Solution
Moving to Node #0,0,2
Current State: 72:[74, 47], Operations: ['93-5=88', '88-41=47']
Exploring Operation: 74-47=27, Resulting Numbers: [27]
27,72 unequal: No Solution
Exploring Operation: 74+47=121, Resulting Numbers: [121]
121,72 unequal: No Solution
Exploring Operation: 74*47=3478, Resulting Numbers: [3478]
3478,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[88, 33], Operations: ['93-5=88', '74-41=33']
Exploring Operation: 88*33=2904, Resulting Numbers: [2904]
2904,72 unequal: No Solution
Exploring Operation: 88+33=121, Resulting Numbers: [121]
121,72 unequal: No Solution
Exploring Operation: 88-33=55, Resulting Numbers: [55]
55,72 unequal: No Solution
Moving to Node #0,0,3
Current State: 72:[88, 115], Operations: ['93-5=88', '41+74=115']
Exploring Operation: 88+115=203, Resulting Numbers: [203]
203,72 unequal: No Solution
Exploring Operation: 115-88=27, Resulting Numbers: [27]
27,72 unequal: No Solution
Exploring Operation: 88*115=10120, Resulting Numbers: [10120]
10120,72 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: 72:[74, 93, 36], Operations: ['41-5=36']
Exploring Operation: 74+36=110, Resulting Numbers: [93, 110]
Generated Node #0,3,0: 72:[93, 110] Operation: 74+36=110
Exploring Operation: 74-36=38, Resulting Numbers: [93, 38]
Generated Node #0,3,1: 72:[93, 38] Operation: 74-36=38
Exploring Operation: 93-74=19, Resulting Numbers: [36, 19]
Generated Node #0,3,2: 72:[36, 19] Operation: 93-74=19
Exploring Operation: 93-36=57, Resulting Numbers: [74, 57]
Generated Node #0,3,3: 72:[74, 57] Operation: 93-36=57
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 72:[36, 19], Operations: ['41-5=36', '93-74=19']
Exploring Operation: 36+19=55, Resulting Numbers: [55]
55,72 unequal: No Solution
Exploring Operation: 36*19=684, Resulting Numbers: [684]
684,72 unequal: No Solution
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,72 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: 72:[74, 57], Operations: ['41-5=36', '93-36=57']
Exploring Operation: 74-57=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Exploring Operation: 74+57=131, Resulting Numbers: [131]
131,72 unequal: No Solution
Exploring Operation: 74*57=4218, Resulting Numbers: [4218]
4218,72 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: 72:[93, 38], Operations: ['41-5=36', '74-36=38']
Exploring Operation: 93+38=131, Resulting Numbers: [131]
131,72 unequal: No Solution
Exploring Operation: 93*38=3534, Resulting Numbers: [3534]
3534,72 unequal: No Solution
Exploring Operation: 93-38=55, Resulting Numbers: [55]
55,72 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: 72:[93, 110], Operations: ['41-5=36', '74+36=110']
Exploring Operation: 93+110=203, Resulting Numbers: [203]
203,72 unequal: No Solution
Exploring Operation: 110-93=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Exploring Operation: 93*110=10230, Resulting Numbers: [10230]
10230,72 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 |
[
27,
72,
96,
96
] | 27 | [
"96-96=0",
"72*0=0",
"27+0=27"
] | Current State: 27:[27, 72, 96, 96], Operations: []
Exploring Operation: 96-96=0, Resulting Numbers: [27, 72, 0]
Generated Node #2: [27, 72, 0] from Operation: 96-96=0
Current State: 27:[27, 72, 0], Operations: ['96-96=0']
Exploring Operation: 72*0=0, Resulting Numbers: [27, 0]
Generated Node #3: [27, 0] from Operation: 72*0=0
Current State: 27:[27, 0], Operations: ['96-96=0', '72*0=0']
Exploring Operation: 27+0=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[27, 72, 96, 96], Operations: []
Exploring Operation: 96-72=24, Resulting Numbers: [27, 96, 24]
Generated Node #0,0: 27:[27, 96, 24] Operation: 96-72=24
Exploring Operation: 96-96=0, Resulting Numbers: [27, 72, 0]
Generated Node #0,1: 27:[27, 72, 0] Operation: 96-96=0
Exploring Operation: 96/96=1, Resulting Numbers: [27, 72, 1]
Generated Node #0,2: 27:[27, 72, 1] Operation: 96/96=1
Moving to Node #0,2
Current State: 27:[27, 72, 1], Operations: ['96/96=1']
Exploring Operation: 27*1=27, Resulting Numbers: [72, 27]
Generated Node #0,2,0: 27:[72, 27] Operation: 27*1=27
Exploring Operation: 72-1=71, Resulting Numbers: [27, 71]
Generated Node #0,2,1: 27:[27, 71] Operation: 72-1=71
Exploring Operation: 72-27=45, Resulting Numbers: [1, 45]
Generated Node #0,2,2: 27:[1, 45] Operation: 72-27=45
Moving to Node #0,1
Current State: 27:[27, 72, 0], Operations: ['96-96=0']
Exploring Operation: 72-27=45, Resulting Numbers: [0, 45]
Generated Node #0,1,0: 27:[0, 45] Operation: 72-27=45
Exploring Operation: 72*0=0, Resulting Numbers: [27, 0]
Generated Node #0,1,1: 27:[27, 0] Operation: 72*0=0
Exploring Operation: 27+0=27, Resulting Numbers: [72, 27]
Generated Node #0,1,2: 27:[72, 27] Operation: 27+0=27
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 27:[27, 0], Operations: ['96-96=0', '72*0=0']
Exploring Operation: 27+0=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[27, 72, 96, 96], Operations: []
Exploring Operation: 96-96=0, Resulting Numbers: [27, 72, 0]
Generated Node #0,1: 27:[27, 72, 0] Operation: 96-96=0
Moving to Node #0,1
Current State: 27:[27, 72, 0], Operations: ['96-96=0']
Exploring Operation: 72*0=0, Resulting Numbers: [27, 0]
Generated Node #0,1,1: 27:[27, 0] Operation: 72*0=0
Moving to Node #0,1,1
Current State: 27:[27, 0], Operations: ['96-96=0', '72*0=0']
Exploring Operation: 27+0=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
57,
91,
64,
28
] | 58 | [
"91-57=34",
"64+28=92",
"92-34=58"
] | Current State: 58:[57, 91, 64, 28], Operations: []
Exploring Operation: 91-57=34, Resulting Numbers: [64, 28, 34]
Generated Node #2: [64, 28, 34] from Operation: 91-57=34
Current State: 58:[64, 28, 34], Operations: ['91-57=34']
Exploring Operation: 64+28=92, Resulting Numbers: [34, 92]
Generated Node #3: [34, 92] from Operation: 64+28=92
Current State: 58:[34, 92], Operations: ['91-57=34', '64+28=92']
Exploring Operation: 92-34=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[57, 91, 64, 28], Operations: []
Exploring Operation: 91-64=27, Resulting Numbers: [57, 28, 27]
Generated Node #0,0: 58:[57, 28, 27] Operation: 91-64=27
Moving to Node #0,0
Current State: 58:[57, 28, 27], Operations: ['91-64=27']
Exploring Operation: 57-28=29, Resulting Numbers: [27, 29]
Generated Node #0,0,0: 58:[27, 29] Operation: 57-28=29
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[27, 29], Operations: ['91-64=27', '57-28=29']
Exploring Operation: 29-27=2, Resulting Numbers: [2]
2,58 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 |
[
49,
56,
25,
91
] | 59 | [
"56-49=7",
"91-25=66",
"66-7=59"
] | Current State: 59:[49, 56, 25, 91], Operations: []
Exploring Operation: 56-49=7, Resulting Numbers: [25, 91, 7]
Generated Node #2: [25, 91, 7] from Operation: 56-49=7
Current State: 59:[25, 91, 7], Operations: ['56-49=7']
Exploring Operation: 91-25=66, Resulting Numbers: [7, 66]
Generated Node #3: [7, 66] from Operation: 91-25=66
Current State: 59:[7, 66], Operations: ['56-49=7', '91-25=66']
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[49, 56, 25, 91], Operations: []
Exploring Operation: 91-49=42, Resulting Numbers: [56, 25, 42]
Generated Node #0,0: 59:[56, 25, 42] Operation: 91-49=42
Exploring Operation: 56+25=81, Resulting Numbers: [49, 91, 81]
Generated Node #0,1: 59:[49, 91, 81] Operation: 56+25=81
Exploring Operation: 49+25=74, Resulting Numbers: [56, 91, 74]
Generated Node #0,2: 59:[56, 91, 74] Operation: 49+25=74
Exploring Operation: 91-25=66, Resulting Numbers: [49, 56, 66]
Generated Node #0,3: 59:[49, 56, 66] Operation: 91-25=66
Moving to Node #0,3
Current State: 59:[49, 56, 66], Operations: ['91-25=66']
Exploring Operation: 66-49=17, Resulting Numbers: [56, 17]
Generated Node #0,3,0: 59:[56, 17] Operation: 66-49=17
Exploring Operation: 56-49=7, Resulting Numbers: [66, 7]
Generated Node #0,3,1: 59:[66, 7] Operation: 56-49=7
Exploring Operation: 49+56=105, Resulting Numbers: [66, 105]
Generated Node #0,3,2: 59:[66, 105] Operation: 49+56=105
Exploring Operation: 49+66=115, Resulting Numbers: [56, 115]
Generated Node #0,3,3: 59:[56, 115] Operation: 49+66=115
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 59:[56, 17], Operations: ['91-25=66', '66-49=17']
Exploring Operation: 56*17=952, Resulting Numbers: [952]
952,59 unequal: No Solution
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,59 unequal: No Solution
Exploring Operation: 56+17=73, Resulting Numbers: [73]
73,59 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 #0,3,2
Current State: 59:[66, 105], Operations: ['91-25=66', '49+56=105']
Exploring Operation: 66*105=6930, Resulting Numbers: [6930]
6930,59 unequal: No Solution
Exploring Operation: 105-66=39, Resulting Numbers: [39]
39,59 unequal: No Solution
Exploring Operation: 66+105=171, Resulting Numbers: [171]
171,59 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 #0,3,1
Current State: 59:[66, 7], Operations: ['91-25=66', '56-49=7']
Exploring Operation: 66*7=462, Resulting Numbers: [462]
462,59 unequal: No Solution
Exploring Operation: 66+7=73, Resulting Numbers: [73]
73,59 unequal: No Solution
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[49, 56, 25, 91], Operations: []
Exploring Operation: 91-25=66, Resulting Numbers: [49, 56, 66]
Generated Node #0,3: 59:[49, 56, 66] Operation: 91-25=66
Moving to Node #0,3
Current State: 59:[49, 56, 66], Operations: ['91-25=66']
Exploring Operation: 56-49=7, Resulting Numbers: [66, 7]
Generated Node #0,3,1: 59:[66, 7] Operation: 56-49=7
Moving to Node #0,3,1
Current State: 59:[66, 7], Operations: ['91-25=66', '56-49=7']
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | sum_heuristic |
[
31,
90,
4,
41
] | 72 | [
"90-31=59",
"59-41=18",
"4*18=72"
] | Current State: 72:[31, 90, 4, 41], Operations: []
Exploring Operation: 90-31=59, Resulting Numbers: [4, 41, 59]
Generated Node #2: [4, 41, 59] from Operation: 90-31=59
Current State: 72:[4, 41, 59], Operations: ['90-31=59']
Exploring Operation: 59-41=18, Resulting Numbers: [4, 18]
Generated Node #3: [4, 18] from Operation: 59-41=18
Current State: 72:[4, 18], Operations: ['90-31=59', '59-41=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[31, 90, 4, 41], Operations: []
Exploring Operation: 90-31=59, Resulting Numbers: [4, 41, 59]
Generated Node #0,0: 72:[4, 41, 59] Operation: 90-31=59
Moving to Node #0,0
Current State: 72:[4, 41, 59], Operations: ['90-31=59']
Exploring Operation: 59-41=18, Resulting Numbers: [4, 18]
Generated Node #0,0,0: 72:[4, 18] Operation: 59-41=18
Moving to Node #0,0,0
Current State: 72:[4, 18], Operations: ['90-31=59', '59-41=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[31, 90, 4, 41], Operations: []
Exploring Operation: 90-31=59, Resulting Numbers: [4, 41, 59]
Generated Node #0,0: 72:[4, 41, 59] Operation: 90-31=59
Moving to Node #0,0
Current State: 72:[4, 41, 59], Operations: ['90-31=59']
Exploring Operation: 59-41=18, Resulting Numbers: [4, 18]
Generated Node #0,0,0: 72:[4, 18] Operation: 59-41=18
Moving to Node #0,0,0
Current State: 72:[4, 18], Operations: ['90-31=59', '59-41=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
18,
2,
19,
16
] | 69 | [
"18+19=37",
"2*16=32",
"37+32=69"
] | Current State: 69:[18, 2, 19, 16], Operations: []
Exploring Operation: 18+19=37, Resulting Numbers: [2, 16, 37]
Generated Node #2: [2, 16, 37] from Operation: 18+19=37
Current State: 69:[2, 16, 37], Operations: ['18+19=37']
Exploring Operation: 2*16=32, Resulting Numbers: [37, 32]
Generated Node #3: [37, 32] from Operation: 2*16=32
Current State: 69:[37, 32], Operations: ['18+19=37', '2*16=32']
Exploring Operation: 37+32=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[18, 2, 19, 16], Operations: []
Exploring Operation: 18-16=2, Resulting Numbers: [2, 19, 2]
Generated Node #0,0: 69:[2, 19, 2] Operation: 18-16=2
Exploring Operation: 19-16=3, Resulting Numbers: [18, 2, 3]
Generated Node #0,1: 69:[18, 2, 3] Operation: 19-16=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[2, 19, 2], Operations: ['18-16=2']
Exploring Operation: 19+2=21, Resulting Numbers: [2, 21]
Generated Node #0,0,0: 69:[2, 21] Operation: 19+2=21
Exploring Operation: 2+19=21, Resulting Numbers: [2, 21]
Generated Node #0,0,1: 69:[2, 21] Operation: 2+19=21
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 69:[2, 21], Operations: ['18-16=2', '19+2=21']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,69 unequal: No Solution
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,69 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 #0,0,1
Current State: 69:[2, 21], Operations: ['18-16=2', '2+19=21']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,69 unequal: No Solution
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,69 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:[18, 2, 3], Operations: ['19-16=3']
Exploring Operation: 18+3=21, Resulting Numbers: [2, 21]
Generated Node #0,1,0: 69:[2, 21] Operation: 18+3=21
Exploring Operation: 18+2=20, Resulting Numbers: [3, 20]
Generated Node #0,1,1: 69:[3, 20] Operation: 18+2=20
Moving to Node #0,1,0
Current State: 69:[2, 21], Operations: ['19-16=3', '18+3=21']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,69 unequal: No Solution
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,69 unequal: No Solution
Moving to Node #0,1,1
Current State: 69:[3, 20], Operations: ['19-16=3', '18+2=20']
Exploring Operation: 3+20=23, Resulting Numbers: [23]
23,69 unequal: No Solution
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,69 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 |
[
43,
9,
68,
40
] | 62 | [
"43-9=34",
"68-40=28",
"34+28=62"
] | Current State: 62:[43, 9, 68, 40], Operations: []
Exploring Operation: 43-9=34, Resulting Numbers: [68, 40, 34]
Generated Node #2: [68, 40, 34] from Operation: 43-9=34
Current State: 62:[68, 40, 34], Operations: ['43-9=34']
Exploring Operation: 68-40=28, Resulting Numbers: [34, 28]
Generated Node #3: [34, 28] from Operation: 68-40=28
Current State: 62:[34, 28], Operations: ['43-9=34', '68-40=28']
Exploring Operation: 34+28=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[43, 9, 68, 40], Operations: []
Exploring Operation: 40-9=31, Resulting Numbers: [43, 68, 31]
Generated Node #0,0: 62:[43, 68, 31] Operation: 40-9=31
Exploring Operation: 43-40=3, Resulting Numbers: [9, 68, 3]
Generated Node #0,1: 62:[9, 68, 3] Operation: 43-40=3
Exploring Operation: 43-9=34, Resulting Numbers: [68, 40, 34]
Generated Node #0,2: 62:[68, 40, 34] Operation: 43-9=34
Moving to Node #0,1
Current State: 62:[9, 68, 3], Operations: ['43-40=3']
Exploring Operation: 9*3=27, Resulting Numbers: [68, 27]
Generated Node #0,1,0: 62:[68, 27] Operation: 9*3=27
Exploring Operation: 9/3=3, Resulting Numbers: [68, 3]
Generated Node #0,1,1: 62:[68, 3] Operation: 9/3=3
Exploring Operation: 68-9=59, Resulting Numbers: [3, 59]
Generated Node #0,1,2: 62:[3, 59] Operation: 68-9=59
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 62:[3, 59], Operations: ['43-40=3', '68-9=59']
Exploring Operation: 3*59=177, Resulting Numbers: [177]
177,62 unequal: No Solution
Exploring Operation: 3+59=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[43, 9, 68, 40], Operations: []
Exploring Operation: 43-40=3, Resulting Numbers: [9, 68, 3]
Generated Node #0,1: 62:[9, 68, 3] Operation: 43-40=3
Moving to Node #0,1
Current State: 62:[9, 68, 3], Operations: ['43-40=3']
Exploring Operation: 68-9=59, Resulting Numbers: [3, 59]
Generated Node #0,1,2: 62:[3, 59] Operation: 68-9=59
Moving to Node #0,1,2
Current State: 62:[3, 59], Operations: ['43-40=3', '68-9=59']
Exploring Operation: 3+59=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
93,
49,
45,
36
] | 53 | [
"93-49=44",
"45-36=9",
"44+9=53"
] | Current State: 53:[93, 49, 45, 36], Operations: []
Exploring Operation: 93-49=44, Resulting Numbers: [45, 36, 44]
Generated Node #2: [45, 36, 44] from Operation: 93-49=44
Current State: 53:[45, 36, 44], Operations: ['93-49=44']
Exploring Operation: 45-36=9, Resulting Numbers: [44, 9]
Generated Node #3: [44, 9] from Operation: 45-36=9
Current State: 53:[44, 9], Operations: ['93-49=44', '45-36=9']
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[93, 49, 45, 36], Operations: []
Exploring Operation: 49+36=85, Resulting Numbers: [93, 45, 85]
Generated Node #0,0: 53:[93, 45, 85] Operation: 49+36=85
Exploring Operation: 93-36=57, Resulting Numbers: [49, 45, 57]
Generated Node #0,1: 53:[49, 45, 57] Operation: 93-36=57
Exploring Operation: 93-45=48, Resulting Numbers: [49, 36, 48]
Generated Node #0,2: 53:[49, 36, 48] Operation: 93-45=48
Exploring Operation: 45+36=81, Resulting Numbers: [93, 49, 81]
Generated Node #0,3: 53:[93, 49, 81] Operation: 45+36=81
Exploring Operation: 93-49=44, Resulting Numbers: [45, 36, 44]
Generated Node #0,4: 53:[45, 36, 44] Operation: 93-49=44
Moving to Node #0,1
Current State: 53:[49, 45, 57], Operations: ['93-36=57']
Exploring Operation: 49-45=4, Resulting Numbers: [57, 4]
Generated Node #0,1,0: 53:[57, 4] Operation: 49-45=4
Exploring Operation: 57-49=8, Resulting Numbers: [45, 8]
Generated Node #0,1,1: 53:[45, 8] Operation: 57-49=8
Exploring Operation: 57-45=12, Resulting Numbers: [49, 12]
Generated Node #0,1,2: 53:[49, 12] Operation: 57-45=12
Exploring Operation: 45+57=102, Resulting Numbers: [49, 102]
Generated Node #0,1,3: 53:[49, 102] Operation: 45+57=102
Exploring Operation: 49+45=94, Resulting Numbers: [57, 94]
Generated Node #0,1,4: 53:[57, 94] Operation: 49+45=94
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 53:[49, 12], Operations: ['93-36=57', '57-45=12']
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,53 unequal: No Solution
Exploring Operation: 49+12=61, Resulting Numbers: [61]
61,53 unequal: No Solution
Exploring Operation: 49*12=588, Resulting Numbers: [588]
588,53 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: 53:[57, 94], Operations: ['93-36=57', '49+45=94']
Exploring Operation: 57*94=5358, Resulting Numbers: [5358]
5358,53 unequal: No Solution
Exploring Operation: 57+94=151, Resulting Numbers: [151]
151,53 unequal: No Solution
Exploring Operation: 94-57=37, Resulting Numbers: [37]
37,53 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: 53:[57, 4], Operations: ['93-36=57', '49-45=4']
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[93, 49, 45, 36], Operations: []
Exploring Operation: 93-36=57, Resulting Numbers: [49, 45, 57]
Generated Node #0,1: 53:[49, 45, 57] Operation: 93-36=57
Moving to Node #0,1
Current State: 53:[49, 45, 57], Operations: ['93-36=57']
Exploring Operation: 49-45=4, Resulting Numbers: [57, 4]
Generated Node #0,1,0: 53:[57, 4] Operation: 49-45=4
Moving to Node #0,1,0
Current State: 53:[57, 4], Operations: ['93-36=57', '49-45=4']
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | mult_heuristic |
[
5,
49,
59,
21
] | 82 | [
"49-5=44",
"59-21=38",
"44+38=82"
] | Current State: 82:[5, 49, 59, 21], Operations: []
Exploring Operation: 49-5=44, Resulting Numbers: [59, 21, 44]
Generated Node #2: [59, 21, 44] from Operation: 49-5=44
Current State: 82:[59, 21, 44], Operations: ['49-5=44']
Exploring Operation: 59-21=38, Resulting Numbers: [44, 38]
Generated Node #3: [44, 38] from Operation: 59-21=38
Current State: 82:[44, 38], Operations: ['49-5=44', '59-21=38']
Exploring Operation: 44+38=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[5, 49, 59, 21], Operations: []
Exploring Operation: 59-21=38, Resulting Numbers: [5, 49, 38]
Generated Node #0,0: 82:[5, 49, 38] Operation: 59-21=38
Exploring Operation: 59+21=80, Resulting Numbers: [5, 49, 80]
Generated Node #0,1: 82:[5, 49, 80] Operation: 59+21=80
Moving to Node #0,1
Current State: 82:[5, 49, 80], Operations: ['59+21=80']
Exploring Operation: 5+80=85, Resulting Numbers: [49, 85]
Generated Node #0,1,0: 82:[49, 85] Operation: 5+80=85
Exploring Operation: 49-5=44, Resulting Numbers: [80, 44]
Generated Node #0,1,1: 82:[80, 44] Operation: 49-5=44
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 82:[80, 44], Operations: ['59+21=80', '49-5=44']
Exploring Operation: 80+44=124, Resulting Numbers: [124]
124,82 unequal: No Solution
Exploring Operation: 80-44=36, Resulting Numbers: [36]
36,82 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: 82:[49, 85], Operations: ['59+21=80', '5+80=85']
Exploring Operation: 49+85=134, Resulting Numbers: [134]
134,82 unequal: No Solution
Exploring Operation: 85-49=36, Resulting Numbers: [36]
36,82 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: 82:[5, 49, 38], Operations: ['59-21=38']
Exploring Operation: 49+38=87, Resulting Numbers: [5, 87]
Generated Node #0,0,0: 82:[5, 87] Operation: 49+38=87
Exploring Operation: 49-5=44, Resulting Numbers: [38, 44]
Generated Node #0,0,1: 82:[38, 44] Operation: 49-5=44
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 82:[38, 44], Operations: ['59-21=38', '49-5=44']
Exploring Operation: 38+44=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[5, 49, 59, 21], Operations: []
Exploring Operation: 59-21=38, Resulting Numbers: [5, 49, 38]
Generated Node #0,0: 82:[5, 49, 38] Operation: 59-21=38
Moving to Node #0,0
Current State: 82:[5, 49, 38], Operations: ['59-21=38']
Exploring Operation: 49-5=44, Resulting Numbers: [38, 44]
Generated Node #0,0,1: 82:[38, 44] Operation: 49-5=44
Moving to Node #0,0,1
Current State: 82:[38, 44], Operations: ['59-21=38', '49-5=44']
Exploring Operation: 38+44=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
40,
81,
29,
67
] | 79 | [
"81-40=41",
"67-29=38",
"41+38=79"
] | Current State: 79:[40, 81, 29, 67], Operations: []
Exploring Operation: 81-40=41, Resulting Numbers: [29, 67, 41]
Generated Node #2: [29, 67, 41] from Operation: 81-40=41
Current State: 79:[29, 67, 41], Operations: ['81-40=41']
Exploring Operation: 67-29=38, Resulting Numbers: [41, 38]
Generated Node #3: [41, 38] from Operation: 67-29=38
Current State: 79:[41, 38], Operations: ['81-40=41', '67-29=38']
Exploring Operation: 41+38=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[40, 81, 29, 67], Operations: []
Exploring Operation: 40+29=69, Resulting Numbers: [81, 67, 69]
Generated Node #0,0: 79:[81, 67, 69] Operation: 40+29=69
Exploring Operation: 29+67=96, Resulting Numbers: [40, 81, 96]
Generated Node #0,1: 79:[40, 81, 96] Operation: 29+67=96
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[81, 67, 69], Operations: ['40+29=69']
Exploring Operation: 81-67=14, Resulting Numbers: [69, 14]
Generated Node #0,0,0: 79:[69, 14] Operation: 81-67=14
Exploring Operation: 67+69=136, Resulting Numbers: [81, 136]
Generated Node #0,0,1: 79:[81, 136] Operation: 67+69=136
Moving to Node #0,0,1
Current State: 79:[81, 136], Operations: ['40+29=69', '67+69=136']
Exploring Operation: 81+136=217, Resulting Numbers: [217]
217,79 unequal: No Solution
Exploring Operation: 136-81=55, Resulting Numbers: [55]
55,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[69, 14], Operations: ['40+29=69', '81-67=14']
Exploring Operation: 69-14=55, Resulting Numbers: [55]
55,79 unequal: No Solution
Exploring Operation: 69+14=83, Resulting Numbers: [83]
83,79 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 #0,1
Current State: 79:[40, 81, 96], Operations: ['29+67=96']
Exploring Operation: 96-40=56, Resulting Numbers: [81, 56]
Generated Node #0,1,0: 79:[81, 56] Operation: 96-40=56
Exploring Operation: 81-40=41, Resulting Numbers: [96, 41]
Generated Node #0,1,1: 79:[96, 41] Operation: 81-40=41
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 79:[81, 56], Operations: ['29+67=96', '96-40=56']
Exploring Operation: 81-56=25, Resulting Numbers: [25]
25,79 unequal: No Solution
Exploring Operation: 81+56=137, Resulting Numbers: [137]
137,79 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: 79:[96, 41], Operations: ['29+67=96', '81-40=41']
Exploring Operation: 96+41=137, Resulting Numbers: [137]
137,79 unequal: No Solution
Exploring Operation: 96-41=55, Resulting Numbers: [55]
55,79 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 |
[
19,
90,
65,
87
] | 82 | [
"65+87=152",
"152/19=8",
"90-8=82"
] | Current State: 82:[19, 90, 65, 87], Operations: []
Exploring Operation: 65+87=152, Resulting Numbers: [19, 90, 152]
Generated Node #2: [19, 90, 152] from Operation: 65+87=152
Current State: 82:[19, 90, 152], Operations: ['65+87=152']
Exploring Operation: 152/19=8, Resulting Numbers: [90, 8]
Generated Node #3: [90, 8] from Operation: 152/19=8
Current State: 82:[90, 8], Operations: ['65+87=152', '152/19=8']
Exploring Operation: 90-8=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[19, 90, 65, 87], Operations: []
Exploring Operation: 90-19=71, Resulting Numbers: [65, 87, 71]
Generated Node #0,0: 82:[65, 87, 71] Operation: 90-19=71
Exploring Operation: 19+65=84, Resulting Numbers: [90, 87, 84]
Generated Node #0,1: 82:[90, 87, 84] Operation: 19+65=84
Exploring Operation: 65-19=46, Resulting Numbers: [90, 87, 46]
Generated Node #0,2: 82:[90, 87, 46] Operation: 65-19=46
Moving to Node #0,1
Current State: 82:[90, 87, 84], Operations: ['19+65=84']
Exploring Operation: 90-87=3, Resulting Numbers: [84, 3]
Generated Node #0,1,0: 82:[84, 3] Operation: 90-87=3
Exploring Operation: 90-84=6, Resulting Numbers: [87, 6]
Generated Node #0,1,1: 82:[87, 6] Operation: 90-84=6
Exploring Operation: 87-84=3, Resulting Numbers: [90, 3]
Generated Node #0,1,2: 82:[90, 3] Operation: 87-84=3
Moving to Node #0,2
Current State: 82:[90, 87, 46], Operations: ['65-19=46']
Exploring Operation: 90-46=44, Resulting Numbers: [87, 44]
Generated Node #0,2,0: 82:[87, 44] Operation: 90-46=44
Exploring Operation: 90-87=3, Resulting Numbers: [46, 3]
Generated Node #0,2,1: 82:[46, 3] Operation: 90-87=3
Exploring Operation: 87-46=41, Resulting Numbers: [90, 41]
Generated Node #0,2,2: 82:[90, 41] Operation: 87-46=41
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 82:[46, 3], Operations: ['65-19=46', '90-87=3']
Exploring Operation: 46*3=138, Resulting Numbers: [138]
138,82 unequal: No Solution
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,82 unequal: No Solution
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,82 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: 82:[87, 44], Operations: ['65-19=46', '90-46=44']
Exploring Operation: 87*44=3828, Resulting Numbers: [3828]
3828,82 unequal: No Solution
Exploring Operation: 87+44=131, Resulting Numbers: [131]
131,82 unequal: No Solution
Exploring Operation: 87-44=43, Resulting Numbers: [43]
43,82 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: 82:[90, 41], Operations: ['65-19=46', '87-46=41']
Exploring Operation: 90*41=3690, Resulting Numbers: [3690]
3690,82 unequal: No Solution
Exploring Operation: 90-41=49, Resulting Numbers: [49]
49,82 unequal: No Solution
Exploring Operation: 90+41=131, Resulting Numbers: [131]
131,82 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: 82:[65, 87, 71], Operations: ['90-19=71']
Exploring Operation: 87-71=16, Resulting Numbers: [65, 16]
Generated Node #0,0,0: 82:[65, 16] Operation: 87-71=16
Exploring Operation: 71-65=6, Resulting Numbers: [87, 6]
Generated Node #0,0,1: 82:[87, 6] Operation: 71-65=6
Exploring Operation: 87-65=22, Resulting Numbers: [71, 22]
Generated Node #0,0,2: 82:[71, 22] Operation: 87-65=22
Moving to Node #0,1,0
Current State: 82:[84, 3], Operations: ['19+65=84', '90-87=3']
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,82 unequal: No Solution
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,82 unequal: No Solution
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,82 unequal: No Solution
Moving to Node #0,1,2
Current State: 82:[90, 3], Operations: ['19+65=84', '87-84=3']
Exploring Operation: 90/3=30, Resulting Numbers: [30]
30,82 unequal: No Solution
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,82 unequal: No Solution
Exploring Operation: 90+3=93, Resulting Numbers: [93]
93,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[87, 6], Operations: ['19+65=84', '90-84=6']
Exploring Operation: 87*6=522, Resulting Numbers: [522]
522,82 unequal: No Solution
Exploring Operation: 87+6=93, Resulting Numbers: [93]
93,82 unequal: No Solution
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,82 unequal: No Solution
Moving to Node #0,0,1
Current State: 82:[87, 6], Operations: ['90-19=71', '71-65=6']
Exploring Operation: 87+6=93, Resulting Numbers: [93]
93,82 unequal: No Solution
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,82 unequal: No Solution
Exploring Operation: 87*6=522, Resulting Numbers: [522]
522,82 unequal: No Solution
Moving to Node #0,0,2
Current State: 82:[71, 22], Operations: ['90-19=71', '87-65=22']
Exploring Operation: 71*22=1562, Resulting Numbers: [1562]
1562,82 unequal: No Solution
Exploring Operation: 71+22=93, Resulting Numbers: [93]
93,82 unequal: No Solution
Exploring Operation: 71-22=49, Resulting Numbers: [49]
49,82 unequal: No Solution
Moving to Node #0,0,0
Current State: 82:[65, 16], Operations: ['90-19=71', '87-71=16']
Exploring Operation: 65*16=1040, Resulting Numbers: [1040]
1040,82 unequal: No Solution
Exploring Operation: 65+16=81, Resulting Numbers: [81]
81,82 unequal: No Solution
Exploring Operation: 65-16=49, Resulting Numbers: [49]
49,82 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
13,
9,
5,
40
] | 83 | [
"13*9=117",
"5*40=200",
"200-117=83"
] | Current State: 83:[13, 9, 5, 40], Operations: []
Exploring Operation: 13*9=117, Resulting Numbers: [5, 40, 117]
Generated Node #2: [5, 40, 117] from Operation: 13*9=117
Current State: 83:[5, 40, 117], Operations: ['13*9=117']
Exploring Operation: 5*40=200, Resulting Numbers: [117, 200]
Generated Node #3: [117, 200] from Operation: 5*40=200
Current State: 83:[117, 200], Operations: ['13*9=117', '5*40=200']
Exploring Operation: 200-117=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[13, 9, 5, 40], Operations: []
Exploring Operation: 9*5=45, Resulting Numbers: [13, 40, 45]
Generated Node #0,0: 83:[13, 40, 45] Operation: 9*5=45
Exploring Operation: 13*9=117, Resulting Numbers: [5, 40, 117]
Generated Node #0,1: 83:[5, 40, 117] Operation: 13*9=117
Exploring Operation: 13*5=65, Resulting Numbers: [9, 40, 65]
Generated Node #0,2: 83:[9, 40, 65] Operation: 13*5=65
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[9, 40, 65], Operations: ['13*5=65']
Exploring Operation: 9+40=49, Resulting Numbers: [65, 49]
Generated Node #0,2,0: 83:[65, 49] Operation: 9+40=49
Exploring Operation: 40-9=31, Resulting Numbers: [65, 31]
Generated Node #0,2,1: 83:[65, 31] Operation: 40-9=31
Exploring Operation: 9+65=74, Resulting Numbers: [40, 74]
Generated Node #0,2,2: 83:[40, 74] Operation: 9+65=74
Moving to Node #0,2,0
Current State: 83:[65, 49], Operations: ['13*5=65', '9+40=49']
Exploring Operation: 65-49=16, Resulting Numbers: [16]
16,83 unequal: No Solution
Exploring Operation: 65+49=114, Resulting Numbers: [114]
114,83 unequal: No Solution
Exploring Operation: 65*49=3185, Resulting Numbers: [3185]
3185,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[40, 74], Operations: ['13*5=65', '9+65=74']
Exploring Operation: 40*74=2960, Resulting Numbers: [2960]
2960,83 unequal: No Solution
Exploring Operation: 74-40=34, Resulting Numbers: [34]
34,83 unequal: No Solution
Exploring Operation: 40+74=114, Resulting Numbers: [114]
114,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[65, 31], Operations: ['13*5=65', '40-9=31']
Exploring Operation: 65+31=96, Resulting Numbers: [96]
96,83 unequal: No Solution
Exploring Operation: 65*31=2015, Resulting Numbers: [2015]
2015,83 unequal: No Solution
Exploring Operation: 65-31=34, Resulting Numbers: [34]
34,83 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: 83:[13, 40, 45], Operations: ['9*5=45']
Exploring Operation: 13+40=53, Resulting Numbers: [45, 53]
Generated Node #0,0,0: 83:[45, 53] Operation: 13+40=53
Exploring Operation: 40+45=85, Resulting Numbers: [13, 85]
Generated Node #0,0,1: 83:[13, 85] Operation: 40+45=85
Exploring Operation: 13+45=58, Resulting Numbers: [40, 58]
Generated Node #0,0,2: 83:[40, 58] Operation: 13+45=58
Moving to Node #0,0,0
Current State: 83:[45, 53], Operations: ['9*5=45', '13+40=53']
Exploring Operation: 45+53=98, Resulting Numbers: [98]
98,83 unequal: No Solution
Exploring Operation: 45*53=2385, Resulting Numbers: [2385]
2385,83 unequal: No Solution
Exploring Operation: 53-45=8, Resulting Numbers: [8]
8,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[40, 58], Operations: ['9*5=45', '13+45=58']
Exploring Operation: 58-40=18, Resulting Numbers: [18]
18,83 unequal: No Solution
Exploring Operation: 40+58=98, Resulting Numbers: [98]
98,83 unequal: No Solution
Exploring Operation: 40*58=2320, Resulting Numbers: [2320]
2320,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[13, 85], Operations: ['9*5=45', '40+45=85']
Exploring Operation: 85-13=72, Resulting Numbers: [72]
72,83 unequal: No Solution
Exploring Operation: 13+85=98, Resulting Numbers: [98]
98,83 unequal: No Solution
Exploring Operation: 13*85=1105, Resulting Numbers: [1105]
1105,83 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: 83:[5, 40, 117], Operations: ['13*9=117']
Exploring Operation: 40-5=35, Resulting Numbers: [117, 35]
Generated Node #0,1,0: 83:[117, 35] Operation: 40-5=35
Exploring Operation: 117-5=112, Resulting Numbers: [40, 112]
Generated Node #0,1,1: 83:[40, 112] Operation: 117-5=112
Exploring Operation: 5+40=45, Resulting Numbers: [117, 45]
Generated Node #0,1,2: 83:[117, 45] Operation: 5+40=45
Moving to Node #0,1,1
Current State: 83:[40, 112], Operations: ['13*9=117', '117-5=112']
Exploring Operation: 112-40=72, Resulting Numbers: [72]
72,83 unequal: No Solution
Exploring Operation: 40+112=152, Resulting Numbers: [152]
152,83 unequal: No Solution
Exploring Operation: 40*112=4480, Resulting Numbers: [4480]
4480,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[117, 45], Operations: ['13*9=117', '5+40=45']
Exploring Operation: 117-45=72, Resulting Numbers: [72]
72,83 unequal: No Solution
Exploring Operation: 117*45=5265, Resulting Numbers: [5265]
5265,83 unequal: No Solution
Exploring Operation: 117+45=162, Resulting Numbers: [162]
162,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[117, 35], Operations: ['13*9=117', '40-5=35']
Exploring Operation: 117+35=152, Resulting Numbers: [152]
152,83 unequal: No Solution
Exploring Operation: 117*35=4095, Resulting Numbers: [4095]
4095,83 unequal: No Solution
Exploring Operation: 117-35=82, Resulting Numbers: [82]
82,83 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 |
[
96,
78,
99,
5
] | 80 | [
"96+78=174",
"99-5=94",
"174-94=80"
] | Current State: 80:[96, 78, 99, 5], Operations: []
Exploring Operation: 96+78=174, Resulting Numbers: [99, 5, 174]
Generated Node #2: [99, 5, 174] from Operation: 96+78=174
Current State: 80:[99, 5, 174], Operations: ['96+78=174']
Exploring Operation: 99-5=94, Resulting Numbers: [174, 94]
Generated Node #3: [174, 94] from Operation: 99-5=94
Current State: 80:[174, 94], Operations: ['96+78=174', '99-5=94']
Exploring Operation: 174-94=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[96, 78, 99, 5], Operations: []
Exploring Operation: 99-96=3, Resulting Numbers: [78, 5, 3]
Generated Node #0,0: 80:[78, 5, 3] Operation: 99-96=3
Exploring Operation: 99-78=21, Resulting Numbers: [96, 5, 21]
Generated Node #0,1: 80:[96, 5, 21] Operation: 99-78=21
Exploring Operation: 96-78=18, Resulting Numbers: [99, 5, 18]
Generated Node #0,2: 80:[99, 5, 18] Operation: 96-78=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[78, 5, 3], Operations: ['99-96=3']
Exploring Operation: 5-3=2, Resulting Numbers: [78, 2]
Generated Node #0,0,0: 80:[78, 2] Operation: 5-3=2
Exploring Operation: 78+3=81, Resulting Numbers: [5, 81]
Generated Node #0,0,1: 80:[5, 81] Operation: 78+3=81
Exploring Operation: 5+3=8, Resulting Numbers: [78, 8]
Generated Node #0,0,2: 80:[78, 8] Operation: 5+3=8
Moving to Node #0,0,1
Current State: 80:[5, 81], Operations: ['99-96=3', '78+3=81']
Exploring Operation: 5+81=86, Resulting Numbers: [86]
86,80 unequal: No Solution
Exploring Operation: 81-5=76, Resulting Numbers: [76]
76,80 unequal: No Solution
Exploring Operation: 5*81=405, Resulting Numbers: [405]
405,80 unequal: No Solution
Moving to Node #0,0,0
Current State: 80:[78, 2], Operations: ['99-96=3', '5-3=2']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,80 unequal: No Solution
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,80 unequal: No Solution
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[96, 78, 99, 5], Operations: []
Exploring Operation: 99-96=3, Resulting Numbers: [78, 5, 3]
Generated Node #0,0: 80:[78, 5, 3] Operation: 99-96=3
Moving to Node #0,0
Current State: 80:[78, 5, 3], Operations: ['99-96=3']
Exploring Operation: 5-3=2, Resulting Numbers: [78, 2]
Generated Node #0,0,0: 80:[78, 2] Operation: 5-3=2
Moving to Node #0,0,0
Current State: 80:[78, 2], Operations: ['99-96=3', '5-3=2']
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | mult_heuristic |
[
64,
53,
24,
51
] | 38 | [
"64-53=11",
"51-24=27",
"11+27=38"
] | Current State: 38:[64, 53, 24, 51], Operations: []
Exploring Operation: 64-53=11, Resulting Numbers: [24, 51, 11]
Generated Node #2: [24, 51, 11] from Operation: 64-53=11
Current State: 38:[24, 51, 11], Operations: ['64-53=11']
Exploring Operation: 51-24=27, Resulting Numbers: [11, 27]
Generated Node #3: [11, 27] from Operation: 51-24=27
Current State: 38:[11, 27], Operations: ['64-53=11', '51-24=27']
Exploring Operation: 11+27=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[64, 53, 24, 51], Operations: []
Exploring Operation: 64-24=40, Resulting Numbers: [53, 51, 40]
Generated Node #0,0: 38:[53, 51, 40] Operation: 64-24=40
Exploring Operation: 64-53=11, Resulting Numbers: [24, 51, 11]
Generated Node #0,1: 38:[24, 51, 11] Operation: 64-53=11
Exploring Operation: 64-51=13, Resulting Numbers: [53, 24, 13]
Generated Node #0,2: 38:[53, 24, 13] Operation: 64-51=13
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[24, 51, 11], Operations: ['64-53=11']
Exploring Operation: 51-24=27, Resulting Numbers: [11, 27]
Generated Node #0,1,0: 38:[11, 27] Operation: 51-24=27
Exploring Operation: 24+11=35, Resulting Numbers: [51, 35]
Generated Node #0,1,1: 38:[51, 35] Operation: 24+11=35
Exploring Operation: 51-11=40, Resulting Numbers: [24, 40]
Generated Node #0,1,2: 38:[24, 40] Operation: 51-11=40
Moving to Node #0,1,2
Current State: 38:[24, 40], Operations: ['64-53=11', '51-11=40']
Exploring Operation: 40-24=16, Resulting Numbers: [16]
16,38 unequal: No Solution
Exploring Operation: 24+40=64, Resulting Numbers: [64]
64,38 unequal: No Solution
Exploring Operation: 24*40=960, Resulting Numbers: [960]
960,38 unequal: No Solution
Moving to Node #0,1,0
Current State: 38:[11, 27], Operations: ['64-53=11', '51-24=27']
Exploring Operation: 11*27=297, Resulting Numbers: [297]
297,38 unequal: No Solution
Exploring Operation: 27-11=16, Resulting Numbers: [16]
16,38 unequal: No Solution
Exploring Operation: 11+27=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[64, 53, 24, 51], Operations: []
Exploring Operation: 64-53=11, Resulting Numbers: [24, 51, 11]
Generated Node #0,1: 38:[24, 51, 11] Operation: 64-53=11
Moving to Node #0,1
Current State: 38:[24, 51, 11], Operations: ['64-53=11']
Exploring Operation: 51-24=27, Resulting Numbers: [11, 27]
Generated Node #0,1,0: 38:[11, 27] Operation: 51-24=27
Moving to Node #0,1,0
Current State: 38:[11, 27], Operations: ['64-53=11', '51-24=27']
Exploring Operation: 11+27=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
50,
48,
49,
2
] | 16 | [
"50-49=1",
"2+1=3",
"48/3=16"
] | Current State: 16:[50, 48, 49, 2], Operations: []
Exploring Operation: 50-49=1, Resulting Numbers: [48, 2, 1]
Generated Node #2: [48, 2, 1] from Operation: 50-49=1
Current State: 16:[48, 2, 1], Operations: ['50-49=1']
Exploring Operation: 2+1=3, Resulting Numbers: [48, 3]
Generated Node #3: [48, 3] from Operation: 2+1=3
Current State: 16:[48, 3], Operations: ['50-49=1', '2+1=3']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[50, 48, 49, 2], Operations: []
Exploring Operation: 50-49=1, Resulting Numbers: [48, 2, 1]
Generated Node #0,0: 16:[48, 2, 1] Operation: 50-49=1
Exploring Operation: 50-48=2, Resulting Numbers: [49, 2, 2]
Generated Node #0,1: 16:[49, 2, 2] Operation: 50-48=2
Exploring Operation: 48/2=24, Resulting Numbers: [50, 49, 24]
Generated Node #0,2: 16:[50, 49, 24] Operation: 48/2=24
Exploring Operation: 49-48=1, Resulting Numbers: [50, 2, 1]
Generated Node #0,3: 16:[50, 2, 1] Operation: 49-48=1
Exploring Operation: 50/2=25, Resulting Numbers: [48, 49, 25]
Generated Node #0,4: 16:[48, 49, 25] Operation: 50/2=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[48, 2, 1], Operations: ['50-49=1']
Exploring Operation: 48*1=48, Resulting Numbers: [2, 48]
Generated Node #0,0,0: 16:[2, 48] Operation: 48*1=48
Exploring Operation: 48-2=46, Resulting Numbers: [1, 46]
Generated Node #0,0,1: 16:[1, 46] Operation: 48-2=46
Exploring Operation: 48-1=47, Resulting Numbers: [2, 47]
Generated Node #0,0,2: 16:[2, 47] Operation: 48-1=47
Exploring Operation: 48/1=48, Resulting Numbers: [2, 48]
Generated Node #0,0,3: 16:[2, 48] Operation: 48/1=48
Exploring Operation: 48/2=24, Resulting Numbers: [1, 24]
Generated Node #0,0,4: 16:[1, 24] Operation: 48/2=24
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 16:[1, 24], Operations: ['50-49=1', '48/2=24']
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,16 unequal: No Solution
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 1+24=25, Resulting Numbers: [25]
25,16 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: 16:[1, 46], Operations: ['50-49=1', '48-2=46']
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,16 unequal: No Solution
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,16 unequal: No Solution
Exploring Operation: 1+46=47, Resulting Numbers: [47]
47,16 unequal: No Solution
Exploring Operation: 1*46=46, Resulting Numbers: [46]
46,16 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: 16:[2, 47], Operations: ['50-49=1', '48-1=47']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,16 unequal: No Solution
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,16 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: 16:[2, 48], Operations: ['50-49=1', '48*1=48']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,16 unequal: No Solution
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,16 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,16 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: 16:[2, 48], Operations: ['50-49=1', '48/1=48']
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,16 unequal: No Solution
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,16 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,16 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,16 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: 16:[49, 2, 2], Operations: ['50-48=2']
Exploring Operation: 2+2=4, Resulting Numbers: [49, 4]
Generated Node #0,1,0: 16:[49, 4] Operation: 2+2=4
Exploring Operation: 49-2=47, Resulting Numbers: [2, 47]
Generated Node #0,1,1: 16:[2, 47] Operation: 49-2=47
Exploring Operation: 2/2=1, Resulting Numbers: [49, 1]
Generated Node #0,1,2: 16:[49, 1] Operation: 2/2=1
Exploring Operation: 2*2=4, Resulting Numbers: [49, 4]
Generated Node #0,1,3: 16:[49, 4] Operation: 2*2=4
Exploring Operation: 49-2=47, Resulting Numbers: [2, 47]
Generated Node #0,1,4: 16:[2, 47] Operation: 49-2=47
Moving to Node #0,1,1
Current State: 16:[2, 47], Operations: ['50-48=2', '49-2=47']
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,16 unequal: No Solution
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,16 unequal: No Solution
Moving to Node #0,1,4
Current State: 16:[2, 47], Operations: ['50-48=2', '49-2=47']
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,16 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,16 unequal: No Solution
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Moving to Node #0,1,0
Current State: 16:[49, 4], Operations: ['50-48=2', '2+2=4']
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,16 unequal: No Solution
Exploring Operation: 49+4=53, Resulting Numbers: [53]
53,16 unequal: No Solution
Exploring Operation: 49*4=196, Resulting Numbers: [196]
196,16 unequal: No Solution
Moving to Node #0,1,3
Current State: 16:[49, 4], Operations: ['50-48=2', '2*2=4']
Exploring Operation: 49+4=53, Resulting Numbers: [53]
53,16 unequal: No Solution
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,16 unequal: No Solution
Exploring Operation: 49*4=196, Resulting Numbers: [196]
196,16 unequal: No Solution
Moving to Node #0,1,2
Current State: 16:[49, 1], Operations: ['50-48=2', '2/2=1']
Exploring Operation: 49*1=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,16 unequal: No Solution
Exploring Operation: 49+1=50, Resulting Numbers: [50]
50,16 unequal: No Solution
Exploring Operation: 49/1=49, Resulting Numbers: [49]
49,16 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: 16:[50, 2, 1], Operations: ['49-48=1']
Exploring Operation: 50-1=49, Resulting Numbers: [2, 49]
Generated Node #0,3,0: 16:[2, 49] Operation: 50-1=49
Exploring Operation: 50/1=50, Resulting Numbers: [2, 50]
Generated Node #0,3,1: 16:[2, 50] Operation: 50/1=50
Exploring Operation: 50/2=25, Resulting Numbers: [1, 25]
Generated Node #0,3,2: 16:[1, 25] Operation: 50/2=25
Exploring Operation: 50*1=50, Resulting Numbers: [2, 50]
Generated Node #0,3,3: 16:[2, 50] Operation: 50*1=50
Exploring Operation: 50-2=48, Resulting Numbers: [1, 48]
Generated Node #0,3,4: 16:[1, 48] Operation: 50-2=48
Moving to Node #0,3,2
Current State: 16:[1, 25], Operations: ['49-48=1', '50/2=25']
Exploring Operation: 25/1=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 1*25=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 1+25=26, Resulting Numbers: [26]
26,16 unequal: No Solution
Moving to Node #0,3,4
Current State: 16:[1, 48], Operations: ['49-48=1', '50-2=48']
Exploring Operation: 1*48=48, Resulting Numbers: [48]
48,16 unequal: No Solution
Exploring Operation: 48/1=48, Resulting Numbers: [48]
48,16 unequal: No Solution
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,16 unequal: No Solution
Exploring Operation: 1+48=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Moving to Node #0,3,0
Current State: 16:[2, 49], Operations: ['49-48=1', '50-1=49']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,16 unequal: No Solution
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,16 unequal: No Solution
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,16 unequal: No Solution
Moving to Node #0,3,1
Current State: 16:[2, 50], Operations: ['49-48=1', '50/1=50']
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,16 unequal: No Solution
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,16 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Moving to Node #0,3,3
Current State: 16:[2, 50], Operations: ['49-48=1', '50*1=50']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,16 unequal: No Solution
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,16 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: 16:[48, 49, 25], Operations: ['50/2=25']
Exploring Operation: 49-48=1, Resulting Numbers: [25, 1]
Generated Node #0,4,0: 16:[25, 1] Operation: 49-48=1
Exploring Operation: 48+49=97, Resulting Numbers: [25, 97]
Generated Node #0,4,1: 16:[25, 97] Operation: 48+49=97
Exploring Operation: 48-25=23, Resulting Numbers: [49, 23]
Generated Node #0,4,2: 16:[49, 23] Operation: 48-25=23
Exploring Operation: 49-25=24, Resulting Numbers: [48, 24]
Generated Node #0,4,3: 16:[48, 24] Operation: 49-25=24
Exploring Operation: 48+25=73, Resulting Numbers: [49, 73]
Generated Node #0,4,4: 16:[49, 73] Operation: 48+25=73
Moving to Node #0,4,0
Current State: 16:[25, 1], Operations: ['50/2=25', '49-48=1']
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,16 unequal: No Solution
Exploring Operation: 25/1=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Moving to Node #0,4,3
Current State: 16:[48, 24], Operations: ['50/2=25', '49-25=24']
Exploring Operation: 48-24=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 48*24=1152, Resulting Numbers: [1152]
1152,16 unequal: No Solution
Exploring Operation: 48/24=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 48+24=72, Resulting Numbers: [72]
72,16 unequal: No Solution
Moving to Node #0,4,2
Current State: 16:[49, 23], Operations: ['50/2=25', '48-25=23']
Exploring Operation: 49*23=1127, Resulting Numbers: [1127]
1127,16 unequal: No Solution
Exploring Operation: 49-23=26, Resulting Numbers: [26]
26,16 unequal: No Solution
Exploring Operation: 49+23=72, Resulting Numbers: [72]
72,16 unequal: No Solution
Moving to Node #0,4,1
Current State: 16:[25, 97], Operations: ['50/2=25', '48+49=97']
Exploring Operation: 25*97=2425, Resulting Numbers: [2425]
2425,16 unequal: No Solution
Exploring Operation: 25+97=122, Resulting Numbers: [122]
122,16 unequal: No Solution
Exploring Operation: 97-25=72, Resulting Numbers: [72]
72,16 unequal: No Solution
Moving to Node #0,4,4
Current State: 16:[49, 73], Operations: ['50/2=25', '48+25=73']
Exploring Operation: 49*73=3577, Resulting Numbers: [3577]
3577,16 unequal: No Solution
Exploring Operation: 73-49=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 49+73=122, Resulting Numbers: [122]
122,16 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: 16:[50, 49, 24], Operations: ['48/2=24']
Exploring Operation: 50-24=26, Resulting Numbers: [49, 26]
Generated Node #0,2,0: 16:[49, 26] Operation: 50-24=26
Exploring Operation: 50-49=1, Resulting Numbers: [24, 1]
Generated Node #0,2,1: 16:[24, 1] Operation: 50-49=1
Exploring Operation: 50+24=74, Resulting Numbers: [49, 74]
Generated Node #0,2,2: 16:[49, 74] Operation: 50+24=74
Exploring Operation: 50+49=99, Resulting Numbers: [24, 99]
Generated Node #0,2,3: 16:[24, 99] Operation: 50+49=99
Exploring Operation: 49-24=25, Resulting Numbers: [50, 25]
Generated Node #0,2,4: 16:[50, 25] Operation: 49-24=25
Moving to Node #0,2,1
Current State: 16:[24, 1], Operations: ['48/2=24', '50-49=1']
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,16 unequal: No Solution
Moving to Node #0,2,4
Current State: 16:[50, 25], Operations: ['48/2=24', '49-24=25']
Exploring Operation: 50-25=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 50/25=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 50*25=1250, Resulting Numbers: [1250]
1250,16 unequal: No Solution
Exploring Operation: 50+25=75, Resulting Numbers: [75]
75,16 unequal: No Solution
Moving to Node #0,2,0
Current State: 16:[49, 26], Operations: ['48/2=24', '50-24=26']
Exploring Operation: 49*26=1274, Resulting Numbers: [1274]
1274,16 unequal: No Solution
Exploring Operation: 49+26=75, Resulting Numbers: [75]
75,16 unequal: No Solution
Exploring Operation: 49-26=23, Resulting Numbers: [23]
23,16 unequal: No Solution
Moving to Node #0,2,2
Current State: 16:[49, 74], Operations: ['48/2=24', '50+24=74']
Exploring Operation: 49*74=3626, Resulting Numbers: [3626]
3626,16 unequal: No Solution
Exploring Operation: 74-49=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 49+74=123, Resulting Numbers: [123]
123,16 unequal: No Solution
Moving to Node #0,2,3
Current State: 16:[24, 99], Operations: ['48/2=24', '50+49=99']
Exploring Operation: 24*99=2376, Resulting Numbers: [2376]
2376,16 unequal: No Solution
Exploring Operation: 24+99=123, Resulting Numbers: [123]
123,16 unequal: No Solution
Exploring Operation: 99-24=75, Resulting Numbers: [75]
75,16 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 |
[
26,
16,
9,
39
] | 29 | [
"9+39=48",
"48/16=3",
"26+3=29"
] | Current State: 29:[26, 16, 9, 39], Operations: []
Exploring Operation: 9+39=48, Resulting Numbers: [26, 16, 48]
Generated Node #2: [26, 16, 48] from Operation: 9+39=48
Current State: 29:[26, 16, 48], Operations: ['9+39=48']
Exploring Operation: 48/16=3, Resulting Numbers: [26, 3]
Generated Node #3: [26, 3] from Operation: 48/16=3
Current State: 29:[26, 3], Operations: ['9+39=48', '48/16=3']
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[26, 16, 9, 39], Operations: []
Exploring Operation: 16+9=25, Resulting Numbers: [26, 39, 25]
Generated Node #0,0: 29:[26, 39, 25] Operation: 16+9=25
Exploring Operation: 26+9=35, Resulting Numbers: [16, 39, 35]
Generated Node #0,1: 29:[16, 39, 35] Operation: 26+9=35
Exploring Operation: 39-9=30, Resulting Numbers: [26, 16, 30]
Generated Node #0,2: 29:[26, 16, 30] Operation: 39-9=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[26, 39, 25], Operations: ['16+9=25']
Exploring Operation: 39-26=13, Resulting Numbers: [25, 13]
Generated Node #0,0,0: 29:[25, 13] Operation: 39-26=13
Exploring Operation: 26+25=51, Resulting Numbers: [39, 51]
Generated Node #0,0,1: 29:[39, 51] Operation: 26+25=51
Exploring Operation: 39-25=14, Resulting Numbers: [26, 14]
Generated Node #0,0,2: 29:[26, 14] Operation: 39-25=14
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 29:[26, 14], Operations: ['16+9=25', '39-25=14']
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 26+14=40, Resulting Numbers: [40]
40,29 unequal: No Solution
Exploring Operation: 26*14=364, Resulting Numbers: [364]
364,29 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: 29:[25, 13], Operations: ['16+9=25', '39-26=13']
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 25+13=38, Resulting Numbers: [38]
38,29 unequal: No Solution
Exploring Operation: 25*13=325, Resulting Numbers: [325]
325,29 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: 29:[39, 51], Operations: ['16+9=25', '26+25=51']
Exploring Operation: 39+51=90, Resulting Numbers: [90]
90,29 unequal: No Solution
Exploring Operation: 51-39=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 39*51=1989, Resulting Numbers: [1989]
1989,29 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: 29:[26, 16, 30], Operations: ['39-9=30']
Exploring Operation: 30-16=14, Resulting Numbers: [26, 14]
Generated Node #0,2,0: 29:[26, 14] Operation: 30-16=14
Exploring Operation: 26-16=10, Resulting Numbers: [30, 10]
Generated Node #0,2,1: 29:[30, 10] Operation: 26-16=10
Exploring Operation: 26+16=42, Resulting Numbers: [30, 42]
Generated Node #0,2,2: 29:[30, 42] Operation: 26+16=42
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 29:[30, 42], Operations: ['39-9=30', '26+16=42']
Exploring Operation: 30+42=72, Resulting Numbers: [72]
72,29 unequal: No Solution
Exploring Operation: 42-30=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 30*42=1260, Resulting Numbers: [1260]
1260,29 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: 29:[26, 14], Operations: ['39-9=30', '30-16=14']
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 26+14=40, Resulting Numbers: [40]
40,29 unequal: No Solution
Exploring Operation: 26*14=364, Resulting Numbers: [364]
364,29 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: 29:[30, 10], Operations: ['39-9=30', '26-16=10']
Exploring Operation: 30/10=3, Resulting Numbers: [3]
3,29 unequal: No Solution
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,29 unequal: No Solution
Exploring Operation: 30+10=40, Resulting Numbers: [40]
40,29 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: 29:[16, 39, 35], Operations: ['26+9=35']
Exploring Operation: 35-16=19, Resulting Numbers: [39, 19]
Generated Node #0,1,0: 29:[39, 19] Operation: 35-16=19
Exploring Operation: 16+39=55, Resulting Numbers: [35, 55]
Generated Node #0,1,1: 29:[35, 55] Operation: 16+39=55
Exploring Operation: 39-16=23, Resulting Numbers: [35, 23]
Generated Node #0,1,2: 29:[35, 23] Operation: 39-16=23
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 29:[35, 23], Operations: ['26+9=35', '39-16=23']
Exploring Operation: 35+23=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 35-23=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 35*23=805, Resulting Numbers: [805]
805,29 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: 29:[39, 19], Operations: ['26+9=35', '35-16=19']
Exploring Operation: 39+19=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 39*19=741, Resulting Numbers: [741]
741,29 unequal: No Solution
Exploring Operation: 39-19=20, Resulting Numbers: [20]
20,29 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: 29:[35, 55], Operations: ['26+9=35', '16+39=55']
Exploring Operation: 35+55=90, Resulting Numbers: [90]
90,29 unequal: No Solution
Exploring Operation: 35*55=1925, Resulting Numbers: [1925]
1925,29 unequal: No Solution
Exploring Operation: 55-35=20, Resulting Numbers: [20]
20,29 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 |
[
88,
80,
22,
19
] | 39 | [
"88/22=4",
"80/4=20",
"19+20=39"
] | Current State: 39:[88, 80, 22, 19], Operations: []
Exploring Operation: 88/22=4, Resulting Numbers: [80, 19, 4]
Generated Node #2: [80, 19, 4] from Operation: 88/22=4
Current State: 39:[80, 19, 4], Operations: ['88/22=4']
Exploring Operation: 80/4=20, Resulting Numbers: [19, 20]
Generated Node #3: [19, 20] from Operation: 80/4=20
Current State: 39:[19, 20], Operations: ['88/22=4', '80/4=20']
Exploring Operation: 19+20=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[88, 80, 22, 19], Operations: []
Exploring Operation: 88-80=8, Resulting Numbers: [22, 19, 8]
Generated Node #0,0: 39:[22, 19, 8] Operation: 88-80=8
Exploring Operation: 88-22=66, Resulting Numbers: [80, 19, 66]
Generated Node #0,1: 39:[80, 19, 66] Operation: 88-22=66
Exploring Operation: 88/22=4, Resulting Numbers: [80, 19, 4]
Generated Node #0,2: 39:[80, 19, 4] Operation: 88/22=4
Exploring Operation: 88-19=69, Resulting Numbers: [80, 22, 69]
Generated Node #0,3: 39:[80, 22, 69] Operation: 88-19=69
Exploring Operation: 80-22=58, Resulting Numbers: [88, 19, 58]
Generated Node #0,4: 39:[88, 19, 58] Operation: 80-22=58
Moving to Node #0,0
Current State: 39:[22, 19, 8], Operations: ['88-80=8']
Exploring Operation: 22+19=41, Resulting Numbers: [8, 41]
Generated Node #0,0,0: 39:[8, 41] Operation: 22+19=41
Exploring Operation: 22-8=14, Resulting Numbers: [19, 14]
Generated Node #0,0,1: 39:[19, 14] Operation: 22-8=14
Exploring Operation: 22-19=3, Resulting Numbers: [8, 3]
Generated Node #0,0,2: 39:[8, 3] Operation: 22-19=3
Exploring Operation: 19-8=11, Resulting Numbers: [22, 11]
Generated Node #0,0,3: 39:[22, 11] Operation: 19-8=11
Exploring Operation: 22+8=30, Resulting Numbers: [19, 30]
Generated Node #0,0,4: 39:[19, 30] Operation: 22+8=30
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 39:[8, 3], Operations: ['88-80=8', '22-19=3']
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,39 unequal: No Solution
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,39 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,39 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 #0,0,0
Current State: 39:[8, 41], Operations: ['88-80=8', '22+19=41']
Exploring Operation: 8+41=49, Resulting Numbers: [49]
49,39 unequal: No Solution
Exploring Operation: 8*41=328, Resulting Numbers: [328]
328,39 unequal: No Solution
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,39 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 #0,0,1
Current State: 39:[19, 14], Operations: ['88-80=8', '22-8=14']
Exploring Operation: 19-14=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Exploring Operation: 19*14=266, Resulting Numbers: [266]
266,39 unequal: No Solution
Exploring Operation: 19+14=33, Resulting Numbers: [33]
33,39 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 #0,0,3
Current State: 39:[22, 11], Operations: ['88-80=8', '19-8=11']
Exploring Operation: 22+11=33, Resulting Numbers: [33]
33,39 unequal: No Solution
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 22*11=242, Resulting Numbers: [242]
242,39 unequal: No Solution
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,39 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 #0,0,4
Current State: 39:[19, 30], Operations: ['88-80=8', '22+8=30']
Exploring Operation: 19+30=49, Resulting Numbers: [49]
49,39 unequal: No Solution
Exploring Operation: 19*30=570, Resulting Numbers: [570]
570,39 unequal: No Solution
Exploring Operation: 30-19=11, Resulting Numbers: [11]
11,39 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: 39:[80, 19, 4], Operations: ['88/22=4']
Exploring Operation: 80-19=61, Resulting Numbers: [4, 61]
Generated Node #0,2,0: 39:[4, 61] Operation: 80-19=61
Exploring Operation: 80+4=84, Resulting Numbers: [19, 84]
Generated Node #0,2,1: 39:[19, 84] Operation: 80+4=84
Exploring Operation: 19-4=15, Resulting Numbers: [80, 15]
Generated Node #0,2,2: 39:[80, 15] Operation: 19-4=15
Exploring Operation: 80/4=20, Resulting Numbers: [19, 20]
Generated Node #0,2,3: 39:[19, 20] Operation: 80/4=20
Exploring Operation: 80-4=76, Resulting Numbers: [19, 76]
Generated Node #0,2,4: 39:[19, 76] Operation: 80-4=76
Moving to Node #0,1
Current State: 39:[80, 19, 66], Operations: ['88-22=66']
Exploring Operation: 80+19=99, Resulting Numbers: [66, 99]
Generated Node #0,1,0: 39:[66, 99] Operation: 80+19=99
Exploring Operation: 80-66=14, Resulting Numbers: [19, 14]
Generated Node #0,1,1: 39:[19, 14] Operation: 80-66=14
Exploring Operation: 80-19=61, Resulting Numbers: [66, 61]
Generated Node #0,1,2: 39:[66, 61] Operation: 80-19=61
Exploring Operation: 19+66=85, Resulting Numbers: [80, 85]
Generated Node #0,1,3: 39:[80, 85] Operation: 19+66=85
Exploring Operation: 66-19=47, Resulting Numbers: [80, 47]
Generated Node #0,1,4: 39:[80, 47] Operation: 66-19=47
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 39:[19, 14], Operations: ['88-22=66', '80-66=14']
Exploring Operation: 19+14=33, Resulting Numbers: [33]
33,39 unequal: No Solution
Exploring Operation: 19*14=266, Resulting Numbers: [266]
266,39 unequal: No Solution
Exploring Operation: 19-14=5, Resulting Numbers: [5]
5,39 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 #0,1,2
Current State: 39:[66, 61], Operations: ['88-22=66', '80-19=61']
Exploring Operation: 66-61=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Exploring Operation: 66+61=127, Resulting Numbers: [127]
127,39 unequal: No Solution
Exploring Operation: 66*61=4026, Resulting Numbers: [4026]
4026,39 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 #0,1,4
Current State: 39:[80, 47], Operations: ['88-22=66', '66-19=47']
Exploring Operation: 80*47=3760, Resulting Numbers: [3760]
3760,39 unequal: No Solution
Exploring Operation: 80+47=127, Resulting Numbers: [127]
127,39 unequal: No Solution
Exploring Operation: 80-47=33, Resulting Numbers: [33]
33,39 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 #0,1,0
Current State: 39:[66, 99], Operations: ['88-22=66', '80+19=99']
Exploring Operation: 99-66=33, Resulting Numbers: [33]
33,39 unequal: No Solution
Exploring Operation: 66*99=6534, Resulting Numbers: [6534]
6534,39 unequal: No Solution
Exploring Operation: 66+99=165, Resulting Numbers: [165]
165,39 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 #0,1,3
Current State: 39:[80, 85], Operations: ['88-22=66', '19+66=85']
Exploring Operation: 80+85=165, Resulting Numbers: [165]
165,39 unequal: No Solution
Exploring Operation: 80*85=6800, Resulting Numbers: [6800]
6800,39 unequal: No Solution
Exploring Operation: 85-80=5, Resulting Numbers: [5]
5,39 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: 39:[88, 19, 58], Operations: ['80-22=58']
Exploring Operation: 19+58=77, Resulting Numbers: [88, 77]
Generated Node #0,4,0: 39:[88, 77] Operation: 19+58=77
Exploring Operation: 88-19=69, Resulting Numbers: [58, 69]
Generated Node #0,4,1: 39:[58, 69] Operation: 88-19=69
Exploring Operation: 88+19=107, Resulting Numbers: [58, 107]
Generated Node #0,4,2: 39:[58, 107] Operation: 88+19=107
Exploring Operation: 58-19=39, Resulting Numbers: [88, 39]
Generated Node #0,4,3: 39:[88, 39] Operation: 58-19=39
Exploring Operation: 88-58=30, Resulting Numbers: [19, 30]
Generated Node #0,4,4: 39:[19, 30] Operation: 88-58=30
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 39:[19, 30], Operations: ['80-22=58', '88-58=30']
Exploring Operation: 19*30=570, Resulting Numbers: [570]
570,39 unequal: No Solution
Exploring Operation: 19+30=49, Resulting Numbers: [49]
49,39 unequal: No Solution
Exploring Operation: 30-19=11, Resulting Numbers: [11]
11,39 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 #0,4,1
Current State: 39:[58, 69], Operations: ['80-22=58', '88-19=69']
Exploring Operation: 58+69=127, Resulting Numbers: [127]
127,39 unequal: No Solution
Exploring Operation: 58*69=4002, Resulting Numbers: [4002]
4002,39 unequal: No Solution
Exploring Operation: 69-58=11, Resulting Numbers: [11]
11,39 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 #0,4,3
Current State: 39:[88, 39], Operations: ['80-22=58', '58-19=39']
Exploring Operation: 88+39=127, Resulting Numbers: [127]
127,39 unequal: No Solution
Exploring Operation: 88-39=49, Resulting Numbers: [49]
49,39 unequal: No Solution
Exploring Operation: 88*39=3432, Resulting Numbers: [3432]
3432,39 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 #0,4,0
Current State: 39:[88, 77], Operations: ['80-22=58', '19+58=77']
Exploring Operation: 88+77=165, Resulting Numbers: [165]
165,39 unequal: No Solution
Exploring Operation: 88-77=11, Resulting Numbers: [11]
11,39 unequal: No Solution
Exploring Operation: 88*77=6776, Resulting Numbers: [6776]
6776,39 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 #0,4,2
Current State: 39:[58, 107], Operations: ['80-22=58', '88+19=107']
Exploring Operation: 107-58=49, Resulting Numbers: [49]
49,39 unequal: No Solution
Exploring Operation: 58+107=165, Resulting Numbers: [165]
165,39 unequal: No Solution
Exploring Operation: 58*107=6206, Resulting Numbers: [6206]
6206,39 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: 39:[80, 22, 69], Operations: ['88-19=69']
Exploring Operation: 80-22=58, Resulting Numbers: [69, 58]
Generated Node #0,3,0: 39:[69, 58] Operation: 80-22=58
Exploring Operation: 22+69=91, Resulting Numbers: [80, 91]
Generated Node #0,3,1: 39:[80, 91] Operation: 22+69=91
Exploring Operation: 69-22=47, Resulting Numbers: [80, 47]
Generated Node #0,3,2: 39:[80, 47] Operation: 69-22=47
Exploring Operation: 80+22=102, Resulting Numbers: [69, 102]
Generated Node #0,3,3: 39:[69, 102] Operation: 80+22=102
Exploring Operation: 80-69=11, Resulting Numbers: [22, 11]
Generated Node #0,3,4: 39:[22, 11] Operation: 80-69=11
Moving to Node #0,3,4
Current State: 39:[22, 11], Operations: ['88-19=69', '80-69=11']
Exploring Operation: 22*11=242, Resulting Numbers: [242]
242,39 unequal: No Solution
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,39 unequal: No Solution
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 22+11=33, Resulting Numbers: [33]
33,39 unequal: No Solution
Moving to Node #0,2,3
Current State: 39:[19, 20], Operations: ['88/22=4', '80/4=20']
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Exploring Operation: 19*20=380, Resulting Numbers: [380]
380,39 unequal: No Solution
Exploring Operation: 19+20=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[88, 80, 22, 19], Operations: []
Exploring Operation: 88/22=4, Resulting Numbers: [80, 19, 4]
Generated Node #0,2: 39:[80, 19, 4] Operation: 88/22=4
Moving to Node #0,2
Current State: 39:[80, 19, 4], Operations: ['88/22=4']
Exploring Operation: 80/4=20, Resulting Numbers: [19, 20]
Generated Node #0,2,3: 39:[19, 20] Operation: 80/4=20
Moving to Node #0,2,3
Current State: 39:[19, 20], Operations: ['88/22=4', '80/4=20']
Exploring Operation: 19+20=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 0.924479 | hs_5 | sum_heuristic |
[
7,
32,
55,
77
] | 92 | [
"7*32=224",
"55+77=132",
"224-132=92"
] | Current State: 92:[7, 32, 55, 77], Operations: []
Exploring Operation: 7*32=224, Resulting Numbers: [55, 77, 224]
Generated Node #2: [55, 77, 224] from Operation: 7*32=224
Current State: 92:[55, 77, 224], Operations: ['7*32=224']
Exploring Operation: 55+77=132, Resulting Numbers: [224, 132]
Generated Node #3: [224, 132] from Operation: 55+77=132
Current State: 92:[224, 132], Operations: ['7*32=224', '55+77=132']
Exploring Operation: 224-132=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[7, 32, 55, 77], Operations: []
Exploring Operation: 77-32=45, Resulting Numbers: [7, 55, 45]
Generated Node #0,0: 92:[7, 55, 45] Operation: 77-32=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[7, 55, 45], Operations: ['77-32=45']
Exploring Operation: 55-7=48, Resulting Numbers: [45, 48]
Generated Node #0,0,0: 92:[45, 48] Operation: 55-7=48
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 92:[45, 48], Operations: ['77-32=45', '55-7=48']
Exploring Operation: 45+48=93, Resulting Numbers: [93]
93,92 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
No solution found.
| 0 | hs_1 | mult_heuristic |
[
48,
81,
3,
24
] | 60 | [
"81-48=33",
"3+24=27",
"33+27=60"
] | Current State: 60:[48, 81, 3, 24], Operations: []
Exploring Operation: 81-48=33, Resulting Numbers: [3, 24, 33]
Generated Node #2: [3, 24, 33] from Operation: 81-48=33
Current State: 60:[3, 24, 33], Operations: ['81-48=33']
Exploring Operation: 3+24=27, Resulting Numbers: [33, 27]
Generated Node #3: [33, 27] from Operation: 3+24=27
Current State: 60:[33, 27], Operations: ['81-48=33', '3+24=27']
Exploring Operation: 33+27=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[48, 81, 3, 24], Operations: []
Exploring Operation: 81-48=33, Resulting Numbers: [3, 24, 33]
Generated Node #0,0: 60:[3, 24, 33] Operation: 81-48=33
Exploring Operation: 81-24=57, Resulting Numbers: [48, 3, 57]
Generated Node #0,1: 60:[48, 3, 57] Operation: 81-24=57
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[3, 24, 33], Operations: ['81-48=33']
Exploring Operation: 24+33=57, Resulting Numbers: [3, 57]
Generated Node #0,0,0: 60:[3, 57] Operation: 24+33=57
Exploring Operation: 33-24=9, Resulting Numbers: [3, 9]
Generated Node #0,0,1: 60:[3, 9] Operation: 33-24=9
Moving to Node #0,0,1
Current State: 60:[3, 9], Operations: ['81-48=33', '33-24=9']
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,60 unequal: No Solution
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,60 unequal: No Solution
Moving to Node #0,0,0
Current State: 60:[3, 57], Operations: ['81-48=33', '24+33=57']
Exploring Operation: 3+57=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[48, 81, 3, 24], Operations: []
Exploring Operation: 81-48=33, Resulting Numbers: [3, 24, 33]
Generated Node #0,0: 60:[3, 24, 33] Operation: 81-48=33
Moving to Node #0,0
Current State: 60:[3, 24, 33], Operations: ['81-48=33']
Exploring Operation: 24+33=57, Resulting Numbers: [3, 57]
Generated Node #0,0,0: 60:[3, 57] Operation: 24+33=57
Moving to Node #0,0,0
Current State: 60:[3, 57], Operations: ['81-48=33', '24+33=57']
Exploring Operation: 3+57=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
39,
42,
66,
74
] | 73 | [
"39+42=81",
"74-66=8",
"81-8=73"
] | Current State: 73:[39, 42, 66, 74], Operations: []
Exploring Operation: 39+42=81, Resulting Numbers: [66, 74, 81]
Generated Node #2: [66, 74, 81] from Operation: 39+42=81
Current State: 73:[66, 74, 81], Operations: ['39+42=81']
Exploring Operation: 74-66=8, Resulting Numbers: [81, 8]
Generated Node #3: [81, 8] from Operation: 74-66=8
Current State: 73:[81, 8], Operations: ['39+42=81', '74-66=8']
Exploring Operation: 81-8=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[39, 42, 66, 74], Operations: []
Exploring Operation: 42+66=108, Resulting Numbers: [39, 74, 108]
Generated Node #0,0: 73:[39, 74, 108] Operation: 42+66=108
Exploring Operation: 39+66=105, Resulting Numbers: [42, 74, 105]
Generated Node #0,1: 73:[42, 74, 105] Operation: 39+66=105
Exploring Operation: 39+42=81, Resulting Numbers: [66, 74, 81]
Generated Node #0,2: 73:[66, 74, 81] Operation: 39+42=81
Moving to Node #0,2
Current State: 73:[66, 74, 81], Operations: ['39+42=81']
Exploring Operation: 81-74=7, Resulting Numbers: [66, 7]
Generated Node #0,2,0: 73:[66, 7] Operation: 81-74=7
Exploring Operation: 74-66=8, Resulting Numbers: [81, 8]
Generated Node #0,2,1: 73:[81, 8] Operation: 74-66=8
Exploring Operation: 81-66=15, Resulting Numbers: [74, 15]
Generated Node #0,2,2: 73:[74, 15] Operation: 81-66=15
Moving to Node #0,1
Current State: 73:[42, 74, 105], Operations: ['39+66=105']
Exploring Operation: 105-74=31, Resulting Numbers: [42, 31]
Generated Node #0,1,0: 73:[42, 31] Operation: 105-74=31
Exploring Operation: 74-42=32, Resulting Numbers: [105, 32]
Generated Node #0,1,1: 73:[105, 32] Operation: 74-42=32
Exploring Operation: 105-42=63, Resulting Numbers: [74, 63]
Generated Node #0,1,2: 73:[74, 63] Operation: 105-42=63
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 73:[74, 63], Operations: ['39+66=105', '105-42=63']
Exploring Operation: 74*63=4662, Resulting Numbers: [4662]
4662,73 unequal: No Solution
Exploring Operation: 74+63=137, Resulting Numbers: [137]
137,73 unequal: No Solution
Exploring Operation: 74-63=11, Resulting Numbers: [11]
11,73 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: 73:[42, 31], Operations: ['39+66=105', '105-74=31']
Exploring Operation: 42-31=11, Resulting Numbers: [11]
11,73 unequal: No Solution
Exploring Operation: 42+31=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[39, 42, 66, 74], Operations: []
Exploring Operation: 39+66=105, Resulting Numbers: [42, 74, 105]
Generated Node #0,1: 73:[42, 74, 105] Operation: 39+66=105
Moving to Node #0,1
Current State: 73:[42, 74, 105], Operations: ['39+66=105']
Exploring Operation: 105-74=31, Resulting Numbers: [42, 31]
Generated Node #0,1,0: 73:[42, 31] Operation: 105-74=31
Moving to Node #0,1,0
Current State: 73:[42, 31], Operations: ['39+66=105', '105-74=31']
Exploring Operation: 42+31=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | sum_heuristic |
[
68,
64,
81,
76
] | 72 | [
"81-64=17",
"68/17=4",
"76-4=72"
] | Current State: 72:[68, 64, 81, 76], Operations: []
Exploring Operation: 81-64=17, Resulting Numbers: [68, 76, 17]
Generated Node #2: [68, 76, 17] from Operation: 81-64=17
Current State: 72:[68, 76, 17], Operations: ['81-64=17']
Exploring Operation: 68/17=4, Resulting Numbers: [76, 4]
Generated Node #3: [76, 4] from Operation: 68/17=4
Current State: 72:[76, 4], Operations: ['81-64=17', '68/17=4']
Exploring Operation: 76-4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[68, 64, 81, 76], Operations: []
Exploring Operation: 68-64=4, Resulting Numbers: [81, 76, 4]
Generated Node #0,0: 72:[81, 76, 4] Operation: 68-64=4
Exploring Operation: 81-68=13, Resulting Numbers: [64, 76, 13]
Generated Node #0,1: 72:[64, 76, 13] Operation: 81-68=13
Exploring Operation: 81-64=17, Resulting Numbers: [68, 76, 17]
Generated Node #0,2: 72:[68, 76, 17] Operation: 81-64=17
Moving to Node #0,2
Current State: 72:[68, 76, 17], Operations: ['81-64=17']
Exploring Operation: 76-68=8, Resulting Numbers: [17, 8]
Generated Node #0,2,0: 72:[17, 8] Operation: 76-68=8
Exploring Operation: 68/17=4, Resulting Numbers: [76, 4]
Generated Node #0,2,1: 72:[76, 4] Operation: 68/17=4
Exploring Operation: 68+17=85, Resulting Numbers: [76, 85]
Generated Node #0,2,2: 72:[76, 85] Operation: 68+17=85
Moving to Node #0,0
Current State: 72:[81, 76, 4], Operations: ['68-64=4']
Exploring Operation: 81-4=77, Resulting Numbers: [76, 77]
Generated Node #0,0,0: 72:[76, 77] Operation: 81-4=77
Exploring Operation: 76-4=72, Resulting Numbers: [81, 72]
Generated Node #0,0,1: 72:[81, 72] Operation: 76-4=72
Exploring Operation: 81-76=5, Resulting Numbers: [4, 5]
Generated Node #0,0,2: 72:[4, 5] Operation: 81-76=5
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 72:[4, 5], Operations: ['68-64=4', '81-76=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,72 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,72 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,72 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: 72:[76, 77], Operations: ['68-64=4', '81-4=77']
Exploring Operation: 76+77=153, Resulting Numbers: [153]
153,72 unequal: No Solution
Exploring Operation: 76*77=5852, Resulting Numbers: [5852]
5852,72 unequal: No Solution
Exploring Operation: 77-76=1, Resulting Numbers: [1]
1,72 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: 72:[81, 72], Operations: ['68-64=4', '76-4=72']
Exploring Operation: 81+72=153, Resulting Numbers: [153]
153,72 unequal: No Solution
Exploring Operation: 81-72=9, Resulting Numbers: [9]
9,72 unequal: No Solution
Exploring Operation: 81*72=5832, Resulting Numbers: [5832]
5832,72 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: 72:[64, 76, 13], Operations: ['81-68=13']
Exploring Operation: 76-64=12, Resulting Numbers: [13, 12]
Generated Node #0,1,0: 72:[13, 12] Operation: 76-64=12
Exploring Operation: 76-13=63, Resulting Numbers: [64, 63]
Generated Node #0,1,1: 72:[64, 63] Operation: 76-13=63
Exploring Operation: 64+13=77, Resulting Numbers: [76, 77]
Generated Node #0,1,2: 72:[76, 77] Operation: 64+13=77
Moving to Node #0,2,0
Current State: 72:[17, 8], Operations: ['81-64=17', '76-68=8']
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,72 unequal: No Solution
Exploring Operation: 17+8=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Exploring Operation: 17*8=136, Resulting Numbers: [136]
136,72 unequal: No Solution
Moving to Node #0,1,0
Current State: 72:[13, 12], Operations: ['81-68=13', '76-64=12']
Exploring Operation: 13*12=156, Resulting Numbers: [156]
156,72 unequal: No Solution
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,72 unequal: No Solution
Exploring Operation: 13+12=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Moving to Node #0,2,1
Current State: 72:[76, 4], Operations: ['81-64=17', '68/17=4']
Exploring Operation: 76+4=80, Resulting Numbers: [80]
80,72 unequal: No Solution
Exploring Operation: 76/4=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Exploring Operation: 76-4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[68, 64, 81, 76], Operations: []
Exploring Operation: 81-64=17, Resulting Numbers: [68, 76, 17]
Generated Node #0,2: 72:[68, 76, 17] Operation: 81-64=17
Moving to Node #0,2
Current State: 72:[68, 76, 17], Operations: ['81-64=17']
Exploring Operation: 68/17=4, Resulting Numbers: [76, 4]
Generated Node #0,2,1: 72:[76, 4] Operation: 68/17=4
Moving to Node #0,2,1
Current State: 72:[76, 4], Operations: ['81-64=17', '68/17=4']
Exploring Operation: 76-4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 0.970486 | hs_3 | sum_heuristic |
[
81,
92,
49,
95
] | 57 | [
"92-81=11",
"95-49=46",
"11+46=57"
] | Current State: 57:[81, 92, 49, 95], Operations: []
Exploring Operation: 92-81=11, Resulting Numbers: [49, 95, 11]
Generated Node #2: [49, 95, 11] from Operation: 92-81=11
Current State: 57:[49, 95, 11], Operations: ['92-81=11']
Exploring Operation: 95-49=46, Resulting Numbers: [11, 46]
Generated Node #3: [11, 46] from Operation: 95-49=46
Current State: 57:[11, 46], Operations: ['92-81=11', '95-49=46']
Exploring Operation: 11+46=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[81, 92, 49, 95], Operations: []
Exploring Operation: 92-81=11, Resulting Numbers: [49, 95, 11]
Generated Node #0,0: 57:[49, 95, 11] Operation: 92-81=11
Exploring Operation: 95-81=14, Resulting Numbers: [92, 49, 14]
Generated Node #0,1: 57:[92, 49, 14] Operation: 95-81=14
Exploring Operation: 95-92=3, Resulting Numbers: [81, 49, 3]
Generated Node #0,2: 57:[81, 49, 3] Operation: 95-92=3
Moving to Node #0,2
Current State: 57:[81, 49, 3], Operations: ['95-92=3']
Exploring Operation: 81-49=32, Resulting Numbers: [3, 32]
Generated Node #0,2,0: 57:[3, 32] Operation: 81-49=32
Exploring Operation: 81-3=78, Resulting Numbers: [49, 78]
Generated Node #0,2,1: 57:[49, 78] Operation: 81-3=78
Exploring Operation: 81/3=27, Resulting Numbers: [49, 27]
Generated Node #0,2,2: 57:[49, 27] Operation: 81/3=27
Moving to Node #0,1
Current State: 57:[92, 49, 14], Operations: ['95-81=14']
Exploring Operation: 92-49=43, Resulting Numbers: [14, 43]
Generated Node #0,1,0: 57:[14, 43] Operation: 92-49=43
Exploring Operation: 49+14=63, Resulting Numbers: [92, 63]
Generated Node #0,1,1: 57:[92, 63] Operation: 49+14=63
Exploring Operation: 92-14=78, Resulting Numbers: [49, 78]
Generated Node #0,1,2: 57:[49, 78] Operation: 92-14=78
Moving to Node #0,0
Current State: 57:[49, 95, 11], Operations: ['92-81=11']
Exploring Operation: 49+11=60, Resulting Numbers: [95, 60]
Generated Node #0,0,0: 57:[95, 60] Operation: 49+11=60
Exploring Operation: 95-49=46, Resulting Numbers: [11, 46]
Generated Node #0,0,1: 57:[11, 46] Operation: 95-49=46
Exploring Operation: 95-11=84, Resulting Numbers: [49, 84]
Generated Node #0,0,2: 57:[49, 84] Operation: 95-11=84
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 57:[11, 46], Operations: ['92-81=11', '95-49=46']
Exploring Operation: 11*46=506, Resulting Numbers: [506]
506,57 unequal: No Solution
Exploring Operation: 46-11=35, Resulting Numbers: [35]
35,57 unequal: No Solution
Exploring Operation: 11+46=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[81, 92, 49, 95], Operations: []
Exploring Operation: 92-81=11, Resulting Numbers: [49, 95, 11]
Generated Node #0,0: 57:[49, 95, 11] Operation: 92-81=11
Moving to Node #0,0
Current State: 57:[49, 95, 11], Operations: ['92-81=11']
Exploring Operation: 95-49=46, Resulting Numbers: [11, 46]
Generated Node #0,0,1: 57:[11, 46] Operation: 95-49=46
Moving to Node #0,0,1
Current State: 57:[11, 46], Operations: ['92-81=11', '95-49=46']
Exploring Operation: 11+46=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_3 | sum_heuristic |
[
25,
75,
26,
45
] | 16 | [
"75/25=3",
"45-26=19",
"19-3=16"
] | Current State: 16:[25, 75, 26, 45], Operations: []
Exploring Operation: 75/25=3, Resulting Numbers: [26, 45, 3]
Generated Node #2: [26, 45, 3] from Operation: 75/25=3
Current State: 16:[26, 45, 3], Operations: ['75/25=3']
Exploring Operation: 45-26=19, Resulting Numbers: [3, 19]
Generated Node #3: [3, 19] from Operation: 45-26=19
Current State: 16:[3, 19], Operations: ['75/25=3', '45-26=19']
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[25, 75, 26, 45], Operations: []
Exploring Operation: 75-45=30, Resulting Numbers: [25, 26, 30]
Generated Node #0,0: 16:[25, 26, 30] Operation: 75-45=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[25, 26, 30], Operations: ['75-45=30']
Exploring Operation: 30-26=4, Resulting Numbers: [25, 4]
Generated Node #0,0,0: 16:[25, 4] Operation: 30-26=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 16:[25, 4], Operations: ['75-45=30', '30-26=4']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,16 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 |
[
45,
59,
66,
2
] | 40 | [
"45+59=104",
"66-2=64",
"104-64=40"
] | Current State: 40:[45, 59, 66, 2], Operations: []
Exploring Operation: 45+59=104, Resulting Numbers: [66, 2, 104]
Generated Node #2: [66, 2, 104] from Operation: 45+59=104
Current State: 40:[66, 2, 104], Operations: ['45+59=104']
Exploring Operation: 66-2=64, Resulting Numbers: [104, 64]
Generated Node #3: [104, 64] from Operation: 66-2=64
Current State: 40:[104, 64], Operations: ['45+59=104', '66-2=64']
Exploring Operation: 104-64=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[45, 59, 66, 2], Operations: []
Exploring Operation: 66-45=21, Resulting Numbers: [59, 2, 21]
Generated Node #0,0: 40:[59, 2, 21] Operation: 66-45=21
Exploring Operation: 66-59=7, Resulting Numbers: [45, 2, 7]
Generated Node #0,1: 40:[45, 2, 7] Operation: 66-59=7
Moving to Node #0,1
Current State: 40:[45, 2, 7], Operations: ['66-59=7']
Exploring Operation: 45-2=43, Resulting Numbers: [7, 43]
Generated Node #0,1,0: 40:[7, 43] Operation: 45-2=43
Exploring Operation: 45-7=38, Resulting Numbers: [2, 38]
Generated Node #0,1,1: 40:[2, 38] Operation: 45-7=38
Moving to Node #0,0
Current State: 40:[59, 2, 21], Operations: ['66-45=21']
Exploring Operation: 59-2=57, Resulting Numbers: [21, 57]
Generated Node #0,0,0: 40:[21, 57] Operation: 59-2=57
Exploring Operation: 59-21=38, Resulting Numbers: [2, 38]
Generated Node #0,0,1: 40:[2, 38] Operation: 59-21=38
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 40:[2, 38], Operations: ['66-45=21', '59-21=38']
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[45, 59, 66, 2], Operations: []
Exploring Operation: 66-45=21, Resulting Numbers: [59, 2, 21]
Generated Node #0,0: 40:[59, 2, 21] Operation: 66-45=21
Moving to Node #0,0
Current State: 40:[59, 2, 21], Operations: ['66-45=21']
Exploring Operation: 59-21=38, Resulting Numbers: [2, 38]
Generated Node #0,0,1: 40:[2, 38] Operation: 59-21=38
Moving to Node #0,0,1
Current State: 40:[2, 38], Operations: ['66-45=21', '59-21=38']
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
96,
74,
88,
71
] | 67 | [
"96-74=22",
"88/22=4",
"71-4=67"
] | Current State: 67:[96, 74, 88, 71], Operations: []
Exploring Operation: 96-74=22, Resulting Numbers: [88, 71, 22]
Generated Node #2: [88, 71, 22] from Operation: 96-74=22
Current State: 67:[88, 71, 22], Operations: ['96-74=22']
Exploring Operation: 88/22=4, Resulting Numbers: [71, 4]
Generated Node #3: [71, 4] from Operation: 88/22=4
Current State: 67:[71, 4], Operations: ['96-74=22', '88/22=4']
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[96, 74, 88, 71], Operations: []
Exploring Operation: 96-88=8, Resulting Numbers: [74, 71, 8]
Generated Node #0,0: 67:[74, 71, 8] Operation: 96-88=8
Exploring Operation: 88-74=14, Resulting Numbers: [96, 71, 14]
Generated Node #0,1: 67:[96, 71, 14] Operation: 88-74=14
Exploring Operation: 96-74=22, Resulting Numbers: [88, 71, 22]
Generated Node #0,2: 67:[88, 71, 22] Operation: 96-74=22
Exploring Operation: 88-71=17, Resulting Numbers: [96, 74, 17]
Generated Node #0,3: 67:[96, 74, 17] Operation: 88-71=17
Exploring Operation: 96-71=25, Resulting Numbers: [74, 88, 25]
Generated Node #0,4: 67:[74, 88, 25] Operation: 96-71=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[74, 71, 8], Operations: ['96-88=8']
Exploring Operation: 71+8=79, Resulting Numbers: [74, 79]
Generated Node #0,0,0: 67:[74, 79] Operation: 71+8=79
Exploring Operation: 74-8=66, Resulting Numbers: [71, 66]
Generated Node #0,0,1: 67:[71, 66] Operation: 74-8=66
Exploring Operation: 74+8=82, Resulting Numbers: [71, 82]
Generated Node #0,0,2: 67:[71, 82] Operation: 74+8=82
Exploring Operation: 74-71=3, Resulting Numbers: [8, 3]
Generated Node #0,0,3: 67:[8, 3] Operation: 74-71=3
Exploring Operation: 71-8=63, Resulting Numbers: [74, 63]
Generated Node #0,0,4: 67:[74, 63] Operation: 71-8=63
Moving to Node #0,0,1
Current State: 67:[71, 66], Operations: ['96-88=8', '74-8=66']
Exploring Operation: 71-66=5, Resulting Numbers: [5]
5,67 unequal: No Solution
Exploring Operation: 71+66=137, Resulting Numbers: [137]
137,67 unequal: No Solution
Exploring Operation: 71*66=4686, Resulting Numbers: [4686]
4686,67 unequal: No Solution
Moving to Node #0,0,4
Current State: 67:[74, 63], Operations: ['96-88=8', '71-8=63']
Exploring Operation: 74-63=11, Resulting Numbers: [11]
11,67 unequal: No Solution
Exploring Operation: 74*63=4662, Resulting Numbers: [4662]
4662,67 unequal: No Solution
Exploring Operation: 74+63=137, Resulting Numbers: [137]
137,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[74, 79], Operations: ['96-88=8', '71+8=79']
Exploring Operation: 79-74=5, Resulting Numbers: [5]
5,67 unequal: No Solution
Exploring Operation: 74+79=153, Resulting Numbers: [153]
153,67 unequal: No Solution
Exploring Operation: 74*79=5846, Resulting Numbers: [5846]
5846,67 unequal: No Solution
Moving to Node #0,0,2
Current State: 67:[71, 82], Operations: ['96-88=8', '74+8=82']
Exploring Operation: 71+82=153, Resulting Numbers: [153]
153,67 unequal: No Solution
Exploring Operation: 82-71=11, Resulting Numbers: [11]
11,67 unequal: No Solution
Exploring Operation: 71*82=5822, Resulting Numbers: [5822]
5822,67 unequal: No Solution
Moving to Node #0,0,3
Current State: 67:[8, 3], Operations: ['96-88=8', '74-71=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,67 unequal: No Solution
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,67 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,67 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 #0,2
Current State: 67:[88, 71, 22], Operations: ['96-74=22']
Exploring Operation: 71+22=93, Resulting Numbers: [88, 93]
Generated Node #0,2,0: 67:[88, 93] Operation: 71+22=93
Exploring Operation: 88+22=110, Resulting Numbers: [71, 110]
Generated Node #0,2,1: 67:[71, 110] Operation: 88+22=110
Exploring Operation: 71-22=49, Resulting Numbers: [88, 49]
Generated Node #0,2,2: 67:[88, 49] Operation: 71-22=49
Exploring Operation: 88-22=66, Resulting Numbers: [71, 66]
Generated Node #0,2,3: 67:[71, 66] Operation: 88-22=66
Exploring Operation: 88/22=4, Resulting Numbers: [71, 4]
Generated Node #0,2,4: 67:[71, 4] Operation: 88/22=4
Moving to Node #0,2,3
Current State: 67:[71, 66], Operations: ['96-74=22', '88-22=66']
Exploring Operation: 71-66=5, Resulting Numbers: [5]
5,67 unequal: No Solution
Exploring Operation: 71+66=137, Resulting Numbers: [137]
137,67 unequal: No Solution
Exploring Operation: 71*66=4686, Resulting Numbers: [4686]
4686,67 unequal: No Solution
Moving to Node #0,2,2
Current State: 67:[88, 49], Operations: ['96-74=22', '71-22=49']
Exploring Operation: 88-49=39, Resulting Numbers: [39]
39,67 unequal: No Solution
Exploring Operation: 88+49=137, Resulting Numbers: [137]
137,67 unequal: No Solution
Exploring Operation: 88*49=4312, Resulting Numbers: [4312]
4312,67 unequal: No Solution
Moving to Node #0,2,0
Current State: 67:[88, 93], Operations: ['96-74=22', '71+22=93']
Exploring Operation: 93-88=5, Resulting Numbers: [5]
5,67 unequal: No Solution
Exploring Operation: 88*93=8184, Resulting Numbers: [8184]
8184,67 unequal: No Solution
Exploring Operation: 88+93=181, Resulting Numbers: [181]
181,67 unequal: No Solution
Moving to Node #0,2,1
Current State: 67:[71, 110], Operations: ['96-74=22', '88+22=110']
Exploring Operation: 110-71=39, Resulting Numbers: [39]
39,67 unequal: No Solution
Exploring Operation: 71+110=181, Resulting Numbers: [181]
181,67 unequal: No Solution
Exploring Operation: 71*110=7810, Resulting Numbers: [7810]
7810,67 unequal: No Solution
Moving to Node #0,2,4
Current State: 67:[71, 4], Operations: ['96-74=22', '88/22=4']
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[96, 74, 88, 71], Operations: []
Exploring Operation: 96-74=22, Resulting Numbers: [88, 71, 22]
Generated Node #0,2: 67:[88, 71, 22] Operation: 96-74=22
Moving to Node #0,2
Current State: 67:[88, 71, 22], Operations: ['96-74=22']
Exploring Operation: 88/22=4, Resulting Numbers: [71, 4]
Generated Node #0,2,4: 67:[71, 4] Operation: 88/22=4
Moving to Node #0,2,4
Current State: 67:[71, 4], Operations: ['96-74=22', '88/22=4']
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 1
| 0.959201 | hs_5 | mult_heuristic |
[
5,
27,
24,
57
] | 12 | [
"27-24=3",
"57+3=60",
"60/5=12"
] | Current State: 12:[5, 27, 24, 57], Operations: []
Exploring Operation: 27-24=3, Resulting Numbers: [5, 57, 3]
Generated Node #2: [5, 57, 3] from Operation: 27-24=3
Current State: 12:[5, 57, 3], Operations: ['27-24=3']
Exploring Operation: 57+3=60, Resulting Numbers: [5, 60]
Generated Node #3: [5, 60] from Operation: 57+3=60
Current State: 12:[5, 60], Operations: ['27-24=3', '57+3=60']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[5, 27, 24, 57], Operations: []
Exploring Operation: 57-27=30, Resulting Numbers: [5, 24, 30]
Generated Node #0,0: 12:[5, 24, 30] Operation: 57-27=30
Exploring Operation: 24-5=19, Resulting Numbers: [27, 57, 19]
Generated Node #0,1: 12:[27, 57, 19] Operation: 24-5=19
Exploring Operation: 27-5=22, Resulting Numbers: [24, 57, 22]
Generated Node #0,2: 12:[24, 57, 22] Operation: 27-5=22
Exploring Operation: 27-24=3, Resulting Numbers: [5, 57, 3]
Generated Node #0,3: 12:[5, 57, 3] Operation: 27-24=3
Exploring Operation: 57-24=33, Resulting Numbers: [5, 27, 33]
Generated Node #0,4: 12:[5, 27, 33] Operation: 57-24=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[5, 24, 30], Operations: ['57-27=30']
Exploring Operation: 30-5=25, Resulting Numbers: [24, 25]
Generated Node #0,0,0: 12:[24, 25] Operation: 30-5=25
Exploring Operation: 30/5=6, Resulting Numbers: [24, 6]
Generated Node #0,0,1: 12:[24, 6] Operation: 30/5=6
Exploring Operation: 5+24=29, Resulting Numbers: [30, 29]
Generated Node #0,0,2: 12:[30, 29] Operation: 5+24=29
Exploring Operation: 24-5=19, Resulting Numbers: [30, 19]
Generated Node #0,0,3: 12:[30, 19] Operation: 24-5=19
Exploring Operation: 30-24=6, Resulting Numbers: [5, 6]
Generated Node #0,0,4: 12:[5, 6] Operation: 30-24=6
Moving to Node #0,0,4
Current State: 12:[5, 6], Operations: ['57-27=30', '30-24=6']
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,12 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,12 unequal: No Solution
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,12 unequal: No Solution
Moving to Node #0,0,1
Current State: 12:[24, 6], Operations: ['57-27=30', '30/5=6']
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,12 unequal: No Solution
Exploring Operation: 24*6=144, Resulting Numbers: [144]
144,12 unequal: No Solution
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,12 unequal: No Solution
Moving to Node #0,0,0
Current State: 12:[24, 25], Operations: ['57-27=30', '30-5=25']
Exploring Operation: 25-24=1, Resulting Numbers: [1]
1,12 unequal: No Solution
Exploring Operation: 24*25=600, Resulting Numbers: [600]
600,12 unequal: No Solution
Exploring Operation: 24+25=49, Resulting Numbers: [49]
49,12 unequal: No Solution
Moving to Node #0,0,3
Current State: 12:[30, 19], Operations: ['57-27=30', '24-5=19']
Exploring Operation: 30*19=570, Resulting Numbers: [570]
570,12 unequal: No Solution
Exploring Operation: 30-19=11, Resulting Numbers: [11]
11,12 unequal: No Solution
Exploring Operation: 30+19=49, Resulting Numbers: [49]
49,12 unequal: No Solution
Moving to Node #0,0,2
Current State: 12:[30, 29], Operations: ['57-27=30', '5+24=29']
Exploring Operation: 30*29=870, Resulting Numbers: [870]
870,12 unequal: No Solution
Exploring Operation: 30-29=1, Resulting Numbers: [1]
1,12 unequal: No Solution
Exploring Operation: 30+29=59, Resulting Numbers: [59]
59,12 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: 12:[5, 27, 33], Operations: ['57-24=33']
Exploring Operation: 27-5=22, Resulting Numbers: [33, 22]
Generated Node #0,4,0: 12:[33, 22] Operation: 27-5=22
Exploring Operation: 5+33=38, Resulting Numbers: [27, 38]
Generated Node #0,4,1: 12:[27, 38] Operation: 5+33=38
Exploring Operation: 33-27=6, Resulting Numbers: [5, 6]
Generated Node #0,4,2: 12:[5, 6] Operation: 33-27=6
Exploring Operation: 33-5=28, Resulting Numbers: [27, 28]
Generated Node #0,4,3: 12:[27, 28] Operation: 33-5=28
Exploring Operation: 5+27=32, Resulting Numbers: [33, 32]
Generated Node #0,4,4: 12:[33, 32] Operation: 5+27=32
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 12:[5, 6], Operations: ['57-24=33', '33-27=6']
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,12 unequal: No Solution
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,12 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,12 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: 12:[33, 22], Operations: ['57-24=33', '27-5=22']
Exploring Operation: 33*22=726, Resulting Numbers: [726]
726,12 unequal: No Solution
Exploring Operation: 33+22=55, Resulting Numbers: [55]
55,12 unequal: No Solution
Exploring Operation: 33-22=11, Resulting Numbers: [11]
11,12 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: 12:[27, 28], Operations: ['57-24=33', '33-5=28']
Exploring Operation: 27*28=756, Resulting Numbers: [756]
756,12 unequal: No Solution
Exploring Operation: 27+28=55, Resulting Numbers: [55]
55,12 unequal: No Solution
Exploring Operation: 28-27=1, Resulting Numbers: [1]
1,12 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: 12:[27, 38], Operations: ['57-24=33', '5+33=38']
Exploring Operation: 27*38=1026, Resulting Numbers: [1026]
1026,12 unequal: No Solution
Exploring Operation: 38-27=11, Resulting Numbers: [11]
11,12 unequal: No Solution
Exploring Operation: 27+38=65, Resulting Numbers: [65]
65,12 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: 12:[33, 32], Operations: ['57-24=33', '5+27=32']
Exploring Operation: 33-32=1, Resulting Numbers: [1]
1,12 unequal: No Solution
Exploring Operation: 33+32=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Exploring Operation: 33*32=1056, Resulting Numbers: [1056]
1056,12 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: 12:[5, 57, 3], Operations: ['27-24=3']
Exploring Operation: 57-5=52, Resulting Numbers: [3, 52]
Generated Node #0,3,0: 12:[3, 52] Operation: 57-5=52
Exploring Operation: 5+3=8, Resulting Numbers: [57, 8]
Generated Node #0,3,1: 12:[57, 8] Operation: 5+3=8
Exploring Operation: 57-3=54, Resulting Numbers: [5, 54]
Generated Node #0,3,2: 12:[5, 54] Operation: 57-3=54
Exploring Operation: 57/3=19, Resulting Numbers: [5, 19]
Generated Node #0,3,3: 12:[5, 19] Operation: 57/3=19
Exploring Operation: 5-3=2, Resulting Numbers: [57, 2]
Generated Node #0,3,4: 12:[57, 2] Operation: 5-3=2
Moving to Node #0,3,3
Current State: 12:[5, 19], Operations: ['27-24=3', '57/3=19']
Exploring Operation: 5*19=95, Resulting Numbers: [95]
95,12 unequal: No Solution
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,12 unequal: No Solution
Exploring Operation: 5+19=24, Resulting Numbers: [24]
24,12 unequal: No Solution
Moving to Node #0,3,0
Current State: 12:[3, 52], Operations: ['27-24=3', '57-5=52']
Exploring Operation: 3*52=156, Resulting Numbers: [156]
156,12 unequal: No Solution
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,12 unequal: No Solution
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,12 unequal: No Solution
Moving to Node #0,3,2
Current State: 12:[5, 54], Operations: ['27-24=3', '57-3=54']
Exploring Operation: 5+54=59, Resulting Numbers: [59]
59,12 unequal: No Solution
Exploring Operation: 5*54=270, Resulting Numbers: [270]
270,12 unequal: No Solution
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,12 unequal: No Solution
Moving to Node #0,3,4
Current State: 12:[57, 2], Operations: ['27-24=3', '5-3=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,12 unequal: No Solution
Exploring Operation: 57+2=59, Resulting Numbers: [59]
59,12 unequal: No Solution
Exploring Operation: 57*2=114, Resulting Numbers: [114]
114,12 unequal: No Solution
Moving to Node #0,3,1
Current State: 12:[57, 8], Operations: ['27-24=3', '5+3=8']
Exploring Operation: 57+8=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Exploring Operation: 57-8=49, Resulting Numbers: [49]
49,12 unequal: No Solution
Exploring Operation: 57*8=456, Resulting Numbers: [456]
456,12 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: 12:[27, 57, 19], Operations: ['24-5=19']
Exploring Operation: 27-19=8, Resulting Numbers: [57, 8]
Generated Node #0,1,0: 12:[57, 8] Operation: 27-19=8
Exploring Operation: 57-19=38, Resulting Numbers: [27, 38]
Generated Node #0,1,1: 12:[27, 38] Operation: 57-19=38
Exploring Operation: 57-27=30, Resulting Numbers: [19, 30]
Generated Node #0,1,2: 12:[19, 30] Operation: 57-27=30
Exploring Operation: 27+57=84, Resulting Numbers: [19, 84]
Generated Node #0,1,3: 12:[19, 84] Operation: 27+57=84
Exploring Operation: 57/19=3, Resulting Numbers: [27, 3]
Generated Node #0,1,4: 12:[27, 3] Operation: 57/19=3
Moving to Node #0,1,4
Current State: 12:[27, 3], Operations: ['24-5=19', '57/19=3']
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,12 unequal: No Solution
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,12 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,12 unequal: No Solution
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,12 unequal: No Solution
Moving to Node #0,1,2
Current State: 12:[19, 30], Operations: ['24-5=19', '57-27=30']
Exploring Operation: 19*30=570, Resulting Numbers: [570]
570,12 unequal: No Solution
Exploring Operation: 30-19=11, Resulting Numbers: [11]
11,12 unequal: No Solution
Exploring Operation: 19+30=49, Resulting Numbers: [49]
49,12 unequal: No Solution
Moving to Node #0,1,1
Current State: 12:[27, 38], Operations: ['24-5=19', '57-19=38']
Exploring Operation: 27+38=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Exploring Operation: 38-27=11, Resulting Numbers: [11]
11,12 unequal: No Solution
Exploring Operation: 27*38=1026, Resulting Numbers: [1026]
1026,12 unequal: No Solution
Moving to Node #0,1,0
Current State: 12:[57, 8], Operations: ['24-5=19', '27-19=8']
Exploring Operation: 57*8=456, Resulting Numbers: [456]
456,12 unequal: No Solution
Exploring Operation: 57+8=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Exploring Operation: 57-8=49, Resulting Numbers: [49]
49,12 unequal: No Solution
Moving to Node #0,1,3
Current State: 12:[19, 84], Operations: ['24-5=19', '27+57=84']
Exploring Operation: 19*84=1596, Resulting Numbers: [1596]
1596,12 unequal: No Solution
Exploring Operation: 19+84=103, Resulting Numbers: [103]
103,12 unequal: No Solution
Exploring Operation: 84-19=65, Resulting Numbers: [65]
65,12 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: 12:[24, 57, 22], Operations: ['27-5=22']
Exploring Operation: 57-22=35, Resulting Numbers: [24, 35]
Generated Node #0,2,0: 12:[24, 35] Operation: 57-22=35
Exploring Operation: 24+57=81, Resulting Numbers: [22, 81]
Generated Node #0,2,1: 12:[22, 81] Operation: 24+57=81
Exploring Operation: 57-24=33, Resulting Numbers: [22, 33]
Generated Node #0,2,2: 12:[22, 33] Operation: 57-24=33
Exploring Operation: 24-22=2, Resulting Numbers: [57, 2]
Generated Node #0,2,3: 12:[57, 2] Operation: 24-22=2
Exploring Operation: 24+22=46, Resulting Numbers: [57, 46]
Generated Node #0,2,4: 12:[57, 46] Operation: 24+22=46
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 12:[22, 33], Operations: ['27-5=22', '57-24=33']
Exploring Operation: 33-22=11, Resulting Numbers: [11]
11,12 unequal: No Solution
Exploring Operation: 22*33=726, Resulting Numbers: [726]
726,12 unequal: No Solution
Exploring Operation: 22+33=55, Resulting Numbers: [55]
55,12 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: 12:[24, 35], Operations: ['27-5=22', '57-22=35']
Exploring Operation: 24+35=59, Resulting Numbers: [59]
59,12 unequal: No Solution
Exploring Operation: 35-24=11, Resulting Numbers: [11]
11,12 unequal: No Solution
Exploring Operation: 24*35=840, Resulting Numbers: [840]
840,12 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: 12:[57, 2], Operations: ['27-5=22', '24-22=2']
Exploring Operation: 57*2=114, Resulting Numbers: [114]
114,12 unequal: No Solution
Exploring Operation: 57+2=59, Resulting Numbers: [59]
59,12 unequal: No Solution
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,12 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: 12:[22, 81], Operations: ['27-5=22', '24+57=81']
Exploring Operation: 22*81=1782, Resulting Numbers: [1782]
1782,12 unequal: No Solution
Exploring Operation: 81-22=59, Resulting Numbers: [59]
59,12 unequal: No Solution
Exploring Operation: 22+81=103, Resulting Numbers: [103]
103,12 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: 12:[57, 46], Operations: ['27-5=22', '24+22=46']
Exploring Operation: 57+46=103, Resulting Numbers: [103]
103,12 unequal: No Solution
Exploring Operation: 57*46=2622, Resulting Numbers: [2622]
2622,12 unequal: No Solution
Exploring Operation: 57-46=11, Resulting Numbers: [11]
11,12 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 |
[
15,
85,
4,
23
] | 87 | [
"23-15=8",
"8/4=2",
"85+2=87"
] | Current State: 87:[15, 85, 4, 23], Operations: []
Exploring Operation: 23-15=8, Resulting Numbers: [85, 4, 8]
Generated Node #2: [85, 4, 8] from Operation: 23-15=8
Current State: 87:[85, 4, 8], Operations: ['23-15=8']
Exploring Operation: 8/4=2, Resulting Numbers: [85, 2]
Generated Node #3: [85, 2] from Operation: 8/4=2
Current State: 87:[85, 2], Operations: ['23-15=8', '8/4=2']
Exploring Operation: 85+2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[15, 85, 4, 23], Operations: []
Exploring Operation: 23-15=8, Resulting Numbers: [85, 4, 8]
Generated Node #0,0: 87:[85, 4, 8] Operation: 23-15=8
Moving to Node #0,0
Current State: 87:[85, 4, 8], Operations: ['23-15=8']
Exploring Operation: 8-4=4, Resulting Numbers: [85, 4]
Generated Node #0,0,0: 87:[85, 4] Operation: 8-4=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 87:[85, 4], Operations: ['23-15=8', '8-4=4']
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,87 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 |
[
3,
30,
12,
25
] | 19 | [
"3*12=36",
"30+25=55",
"55-36=19"
] | Current State: 19:[3, 30, 12, 25], Operations: []
Exploring Operation: 3*12=36, Resulting Numbers: [30, 25, 36]
Generated Node #2: [30, 25, 36] from Operation: 3*12=36
Current State: 19:[30, 25, 36], Operations: ['3*12=36']
Exploring Operation: 30+25=55, Resulting Numbers: [36, 55]
Generated Node #3: [36, 55] from Operation: 30+25=55
Current State: 19:[36, 55], Operations: ['3*12=36', '30+25=55']
Exploring Operation: 55-36=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[3, 30, 12, 25], Operations: []
Exploring Operation: 25-3=22, Resulting Numbers: [30, 12, 22]
Generated Node #0,0: 19:[30, 12, 22] Operation: 25-3=22
Exploring Operation: 3+12=15, Resulting Numbers: [30, 25, 15]
Generated Node #0,1: 19:[30, 25, 15] Operation: 3+12=15
Exploring Operation: 30-3=27, Resulting Numbers: [12, 25, 27]
Generated Node #0,2: 19:[12, 25, 27] Operation: 30-3=27
Moving to Node #0,0
Current State: 19:[30, 12, 22], Operations: ['25-3=22']
Exploring Operation: 30-22=8, Resulting Numbers: [12, 8]
Generated Node #0,0,0: 19:[12, 8] Operation: 30-22=8
Exploring Operation: 30-12=18, Resulting Numbers: [22, 18]
Generated Node #0,0,1: 19:[22, 18] Operation: 30-12=18
Exploring Operation: 22-12=10, Resulting Numbers: [30, 10]
Generated Node #0,0,2: 19:[30, 10] Operation: 22-12=10
Moving to Node #0,1
Current State: 19:[30, 25, 15], Operations: ['3+12=15']
Exploring Operation: 30-25=5, Resulting Numbers: [15, 5]
Generated Node #0,1,0: 19:[15, 5] Operation: 30-25=5
Exploring Operation: 25-15=10, Resulting Numbers: [30, 10]
Generated Node #0,1,1: 19:[30, 10] Operation: 25-15=10
Exploring Operation: 30-15=15, Resulting Numbers: [25, 15]
Generated Node #0,1,2: 19:[25, 15] Operation: 30-15=15
Moving to Node #0,2
Current State: 19:[12, 25, 27], Operations: ['30-3=27']
Exploring Operation: 25-12=13, Resulting Numbers: [27, 13]
Generated Node #0,2,0: 19:[27, 13] Operation: 25-12=13
Exploring Operation: 27-12=15, Resulting Numbers: [25, 15]
Generated Node #0,2,1: 19:[25, 15] Operation: 27-12=15
Exploring Operation: 27-25=2, Resulting Numbers: [12, 2]
Generated Node #0,2,2: 19:[12, 2] Operation: 27-25=2
Moving to Node #0,0,1
Current State: 19:[22, 18], Operations: ['25-3=22', '30-12=18']
Exploring Operation: 22+18=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Exploring Operation: 22-18=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Exploring Operation: 22*18=396, Resulting Numbers: [396]
396,19 unequal: No Solution
Moving to Node #0,2,1
Current State: 19:[25, 15], Operations: ['30-3=27', '27-12=15']
Exploring Operation: 25-15=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Exploring Operation: 25+15=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Exploring Operation: 25*15=375, Resulting Numbers: [375]
375,19 unequal: No Solution
Moving to Node #0,1,2
Current State: 19:[25, 15], Operations: ['3+12=15', '30-15=15']
Exploring Operation: 25+15=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Exploring Operation: 25*15=375, Resulting Numbers: [375]
375,19 unequal: No Solution
Exploring Operation: 25-15=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Moving to Node #0,2,0
Current State: 19:[27, 13], Operations: ['30-3=27', '25-12=13']
Exploring Operation: 27+13=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,19 unequal: No Solution
Exploring Operation: 27*13=351, Resulting Numbers: [351]
351,19 unequal: No Solution
Moving to Node #0,1,0
Current State: 19:[15, 5], Operations: ['3+12=15', '30-25=5']
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,19 unequal: No Solution
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Moving to Node #0,0,0
Current State: 19:[12, 8], Operations: ['25-3=22', '30-22=8']
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Exploring Operation: 12+8=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,19 unequal: No Solution
Moving to Node #0,0,2
Current State: 19:[30, 10], Operations: ['25-3=22', '22-12=10']
Exploring Operation: 30/10=3, Resulting Numbers: [3]
3,19 unequal: No Solution
Exploring Operation: 30+10=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Moving to Node #0,1,1
Current State: 19:[30, 10], Operations: ['3+12=15', '25-15=10']
Exploring Operation: 30+10=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Exploring Operation: 30/10=3, Resulting Numbers: [3]
3,19 unequal: No Solution
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Moving to Node #0,2,2
Current State: 19:[12, 2], Operations: ['30-3=27', '27-25=2']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,19 unequal: No Solution
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,19 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
62,
43,
59,
64
] | 51 | [
"64-62=2",
"43+59=102",
"102/2=51"
] | Current State: 51:[62, 43, 59, 64], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [43, 59, 2]
Generated Node #2: [43, 59, 2] from Operation: 64-62=2
Current State: 51:[43, 59, 2], Operations: ['64-62=2']
Exploring Operation: 43+59=102, Resulting Numbers: [2, 102]
Generated Node #3: [2, 102] from Operation: 43+59=102
Current State: 51:[2, 102], Operations: ['64-62=2', '43+59=102']
Exploring Operation: 102/2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[62, 43, 59, 64], Operations: []
Exploring Operation: 64-59=5, Resulting Numbers: [62, 43, 5]
Generated Node #0,0: 51:[62, 43, 5] Operation: 64-59=5
Exploring Operation: 62-59=3, Resulting Numbers: [43, 64, 3]
Generated Node #0,1: 51:[43, 64, 3] Operation: 62-59=3
Exploring Operation: 64-62=2, Resulting Numbers: [43, 59, 2]
Generated Node #0,2: 51:[43, 59, 2] Operation: 64-62=2
Exploring Operation: 62-43=19, Resulting Numbers: [59, 64, 19]
Generated Node #0,3: 51:[59, 64, 19] Operation: 62-43=19
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[43, 59, 2], Operations: ['64-62=2']
Exploring Operation: 43+2=45, Resulting Numbers: [59, 45]
Generated Node #0,2,0: 51:[59, 45] Operation: 43+2=45
Exploring Operation: 43-2=41, Resulting Numbers: [59, 41]
Generated Node #0,2,1: 51:[59, 41] Operation: 43-2=41
Exploring Operation: 59-43=16, Resulting Numbers: [2, 16]
Generated Node #0,2,2: 51:[2, 16] Operation: 59-43=16
Exploring Operation: 59-2=57, Resulting Numbers: [43, 57]
Generated Node #0,2,3: 51:[43, 57] Operation: 59-2=57
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 51:[2, 16], Operations: ['64-62=2', '59-43=16']
Exploring Operation: 2+16=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 2*16=32, Resulting Numbers: [32]
32,51 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 #0,2,0
Current State: 51:[59, 45], Operations: ['64-62=2', '43+2=45']
Exploring Operation: 59-45=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 59+45=104, Resulting Numbers: [104]
104,51 unequal: No Solution
Exploring Operation: 59*45=2655, Resulting Numbers: [2655]
2655,51 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 #0,2,3
Current State: 51:[43, 57], Operations: ['64-62=2', '59-2=57']
Exploring Operation: 43*57=2451, Resulting Numbers: [2451]
2451,51 unequal: No Solution
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 43+57=100, Resulting Numbers: [100]
100,51 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 #0,2,1
Current State: 51:[59, 41], Operations: ['64-62=2', '43-2=41']
Exploring Operation: 59-41=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 59+41=100, Resulting Numbers: [100]
100,51 unequal: No Solution
Exploring Operation: 59*41=2419, Resulting Numbers: [2419]
2419,51 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:[62, 43, 5], Operations: ['64-59=5']
Exploring Operation: 43+5=48, Resulting Numbers: [62, 48]
Generated Node #0,0,0: 51:[62, 48] Operation: 43+5=48
Exploring Operation: 62-5=57, Resulting Numbers: [43, 57]
Generated Node #0,0,1: 51:[43, 57] Operation: 62-5=57
Exploring Operation: 62+5=67, Resulting Numbers: [43, 67]
Generated Node #0,0,2: 51:[43, 67] Operation: 62+5=67
Exploring Operation: 62-43=19, Resulting Numbers: [5, 19]
Generated Node #0,0,3: 51:[5, 19] Operation: 62-43=19
Moving to Node #0,0,3
Current State: 51:[5, 19], Operations: ['64-59=5', '62-43=19']
Exploring Operation: 5*19=95, Resulting Numbers: [95]
95,51 unequal: No Solution
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 5+19=24, Resulting Numbers: [24]
24,51 unequal: No Solution
Moving to Node #0,0,1
Current State: 51:[43, 57], Operations: ['64-59=5', '62-5=57']
Exploring Operation: 43*57=2451, Resulting Numbers: [2451]
2451,51 unequal: No Solution
Exploring Operation: 43+57=100, Resulting Numbers: [100]
100,51 unequal: No Solution
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Moving to Node #0,0,0
Current State: 51:[62, 48], Operations: ['64-59=5', '43+5=48']
Exploring Operation: 62-48=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 62+48=110, Resulting Numbers: [110]
110,51 unequal: No Solution
Exploring Operation: 62*48=2976, Resulting Numbers: [2976]
2976,51 unequal: No Solution
Moving to Node #0,0,2
Current State: 51:[43, 67], Operations: ['64-59=5', '62+5=67']
Exploring Operation: 43*67=2881, Resulting Numbers: [2881]
2881,51 unequal: No Solution
Exploring Operation: 43+67=110, Resulting Numbers: [110]
110,51 unequal: No Solution
Exploring Operation: 67-43=24, Resulting Numbers: [24]
24,51 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: 51:[43, 64, 3], Operations: ['62-59=3']
Exploring Operation: 43-3=40, Resulting Numbers: [64, 40]
Generated Node #0,1,0: 51:[64, 40] Operation: 43-3=40
Exploring Operation: 43+3=46, Resulting Numbers: [64, 46]
Generated Node #0,1,1: 51:[64, 46] Operation: 43+3=46
Exploring Operation: 64-3=61, Resulting Numbers: [43, 61]
Generated Node #0,1,2: 51:[43, 61] Operation: 64-3=61
Exploring Operation: 64-43=21, Resulting Numbers: [3, 21]
Generated Node #0,1,3: 51:[3, 21] Operation: 64-43=21
Moving to Node #0,1,3
Current State: 51:[3, 21], Operations: ['62-59=3', '64-43=21']
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,51 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,51 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,51 unequal: No Solution
Moving to Node #0,1,2
Current State: 51:[43, 61], Operations: ['62-59=3', '64-3=61']
Exploring Operation: 43+61=104, Resulting Numbers: [104]
104,51 unequal: No Solution
Exploring Operation: 61-43=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 43*61=2623, Resulting Numbers: [2623]
2623,51 unequal: No Solution
Moving to Node #0,1,1
Current State: 51:[64, 46], Operations: ['62-59=3', '43+3=46']
Exploring Operation: 64*46=2944, Resulting Numbers: [2944]
2944,51 unequal: No Solution
Exploring Operation: 64-46=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 64+46=110, Resulting Numbers: [110]
110,51 unequal: No Solution
Moving to Node #0,1,0
Current State: 51:[64, 40], Operations: ['62-59=3', '43-3=40']
Exploring Operation: 64*40=2560, Resulting Numbers: [2560]
2560,51 unequal: No Solution
Exploring Operation: 64+40=104, Resulting Numbers: [104]
104,51 unequal: No Solution
Exploring Operation: 64-40=24, Resulting Numbers: [24]
24,51 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: 51:[59, 64, 19], Operations: ['62-43=19']
Exploring Operation: 59-19=40, Resulting Numbers: [64, 40]
Generated Node #0,3,0: 51:[64, 40] Operation: 59-19=40
Exploring Operation: 64-59=5, Resulting Numbers: [19, 5]
Generated Node #0,3,1: 51:[19, 5] Operation: 64-59=5
Exploring Operation: 64-19=45, Resulting Numbers: [59, 45]
Generated Node #0,3,2: 51:[59, 45] Operation: 64-19=45
Exploring Operation: 59+19=78, Resulting Numbers: [64, 78]
Generated Node #0,3,3: 51:[64, 78] Operation: 59+19=78
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 51:[19, 5], Operations: ['62-43=19', '64-59=5']
Exploring Operation: 19+5=24, Resulting Numbers: [24]
24,51 unequal: No Solution
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,51 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 #0,3,2
Current State: 51:[59, 45], Operations: ['62-43=19', '64-19=45']
Exploring Operation: 59-45=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 59+45=104, Resulting Numbers: [104]
104,51 unequal: No Solution
Exploring Operation: 59*45=2655, Resulting Numbers: [2655]
2655,51 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 #0,3,0
Current State: 51:[64, 40], Operations: ['62-43=19', '59-19=40']
Exploring Operation: 64+40=104, Resulting Numbers: [104]
104,51 unequal: No Solution
Exploring Operation: 64*40=2560, Resulting Numbers: [2560]
2560,51 unequal: No Solution
Exploring Operation: 64-40=24, Resulting Numbers: [24]
24,51 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 #0,3,3
Current State: 51:[64, 78], Operations: ['62-43=19', '59+19=78']
Exploring Operation: 78-64=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 64+78=142, Resulting Numbers: [142]
142,51 unequal: No Solution
Exploring Operation: 64*78=4992, Resulting Numbers: [4992]
4992,51 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
No solution found.
| 0 | hs_4 | sum_heuristic |
[
20,
54,
15,
15
] | 75 | [
"20+54=74",
"15/15=1",
"74+1=75"
] | Current State: 75:[20, 54, 15, 15], Operations: []
Exploring Operation: 20+54=74, Resulting Numbers: [15, 15, 74]
Generated Node #2: [15, 15, 74] from Operation: 20+54=74
Current State: 75:[15, 15, 74], Operations: ['20+54=74']
Exploring Operation: 15/15=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 15/15=1
Current State: 75:[74, 1], Operations: ['20+54=74', '15/15=1']
Exploring Operation: 74+1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[20, 54, 15, 15], Operations: []
Exploring Operation: 20+54=74, Resulting Numbers: [15, 15, 74]
Generated Node #0,0: 75:[15, 15, 74] Operation: 20+54=74
Exploring Operation: 54-20=34, Resulting Numbers: [15, 15, 34]
Generated Node #0,1: 75:[15, 15, 34] Operation: 54-20=34
Moving to Node #0,0
Current State: 75:[15, 15, 74], Operations: ['20+54=74']
Exploring Operation: 15/15=1, Resulting Numbers: [74, 1]
Generated Node #0,0,0: 75:[74, 1] Operation: 15/15=1
Exploring Operation: 15-15=0, Resulting Numbers: [74, 0]
Generated Node #0,0,1: 75:[74, 0] Operation: 15-15=0
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 75:[74, 1], Operations: ['20+54=74', '15/15=1']
Exploring Operation: 74+1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[20, 54, 15, 15], Operations: []
Exploring Operation: 20+54=74, Resulting Numbers: [15, 15, 74]
Generated Node #0,0: 75:[15, 15, 74] Operation: 20+54=74
Moving to Node #0,0
Current State: 75:[15, 15, 74], Operations: ['20+54=74']
Exploring Operation: 15/15=1, Resulting Numbers: [74, 1]
Generated Node #0,0,0: 75:[74, 1] Operation: 15/15=1
Moving to Node #0,0,0
Current State: 75:[74, 1], Operations: ['20+54=74', '15/15=1']
Exploring Operation: 74+1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
30,
57,
17,
78
] | 51 | [
"30-17=13",
"78/13=6",
"57-6=51"
] | Current State: 51:[30, 57, 17, 78], Operations: []
Exploring Operation: 30-17=13, Resulting Numbers: [57, 78, 13]
Generated Node #2: [57, 78, 13] from Operation: 30-17=13
Current State: 51:[57, 78, 13], Operations: ['30-17=13']
Exploring Operation: 78/13=6, Resulting Numbers: [57, 6]
Generated Node #3: [57, 6] from Operation: 78/13=6
Current State: 51:[57, 6], Operations: ['30-17=13', '78/13=6']
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[30, 57, 17, 78], Operations: []
Exploring Operation: 78-30=48, Resulting Numbers: [57, 17, 48]
Generated Node #0,0: 51:[57, 17, 48] Operation: 78-30=48
Exploring Operation: 57-30=27, Resulting Numbers: [17, 78, 27]
Generated Node #0,1: 51:[17, 78, 27] Operation: 57-30=27
Exploring Operation: 78-17=61, Resulting Numbers: [30, 57, 61]
Generated Node #0,2: 51:[30, 57, 61] Operation: 78-17=61
Exploring Operation: 30+17=47, Resulting Numbers: [57, 78, 47]
Generated Node #0,3: 51:[57, 78, 47] Operation: 30+17=47
Exploring Operation: 78-57=21, Resulting Numbers: [30, 17, 21]
Generated Node #0,4: 51:[30, 17, 21] Operation: 78-57=21
Moving to Node #0,0
Current State: 51:[57, 17, 48], Operations: ['78-30=48']
Exploring Operation: 57-48=9, Resulting Numbers: [17, 9]
Generated Node #0,0,0: 51:[17, 9] Operation: 57-48=9
Exploring Operation: 17+48=65, Resulting Numbers: [57, 65]
Generated Node #0,0,1: 51:[57, 65] Operation: 17+48=65
Exploring Operation: 57+17=74, Resulting Numbers: [48, 74]
Generated Node #0,0,2: 51:[48, 74] Operation: 57+17=74
Exploring Operation: 57-17=40, Resulting Numbers: [48, 40]
Generated Node #0,0,3: 51:[48, 40] Operation: 57-17=40
Exploring Operation: 48-17=31, Resulting Numbers: [57, 31]
Generated Node #0,0,4: 51:[57, 31] Operation: 48-17=31
Moving to Node #0,4
Current State: 51:[30, 17, 21], Operations: ['78-57=21']
Exploring Operation: 21-17=4, Resulting Numbers: [30, 4]
Generated Node #0,4,0: 51:[30, 4] Operation: 21-17=4
Exploring Operation: 30-21=9, Resulting Numbers: [17, 9]
Generated Node #0,4,1: 51:[17, 9] Operation: 30-21=9
Exploring Operation: 30+21=51, Resulting Numbers: [17, 51]
Generated Node #0,4,2: 51:[17, 51] Operation: 30+21=51
Exploring Operation: 30-17=13, Resulting Numbers: [21, 13]
Generated Node #0,4,3: 51:[21, 13] Operation: 30-17=13
Exploring Operation: 30+17=47, Resulting Numbers: [21, 47]
Generated Node #0,4,4: 51:[21, 47] Operation: 30+17=47
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 51:[17, 51], Operations: ['78-57=21', '30+21=51']
Exploring Operation: 51-17=34, Resulting Numbers: [34]
34,51 unequal: No Solution
Exploring Operation: 51/17=3, Resulting Numbers: [3]
3,51 unequal: No Solution
Exploring Operation: 17+51=68, Resulting Numbers: [68]
68,51 unequal: No Solution
Exploring Operation: 17*51=867, Resulting Numbers: [867]
867,51 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 #0,4,1
Current State: 51:[17, 9], Operations: ['78-57=21', '30-21=9']
Exploring Operation: 17*9=153, Resulting Numbers: [153]
153,51 unequal: No Solution
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,51 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 #0,4,3
Current State: 51:[21, 13], Operations: ['78-57=21', '30-17=13']
Exploring Operation: 21+13=34, Resulting Numbers: [34]
34,51 unequal: No Solution
Exploring Operation: 21*13=273, Resulting Numbers: [273]
273,51 unequal: No Solution
Exploring Operation: 21-13=8, Resulting Numbers: [8]
8,51 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 #0,4,4
Current State: 51:[21, 47], Operations: ['78-57=21', '30+17=47']
Exploring Operation: 21*47=987, Resulting Numbers: [987]
987,51 unequal: No Solution
Exploring Operation: 21+47=68, Resulting Numbers: [68]
68,51 unequal: No Solution
Exploring Operation: 47-21=26, Resulting Numbers: [26]
26,51 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: 51:[30, 4], Operations: ['78-57=21', '21-17=4']
Exploring Operation: 30+4=34, Resulting Numbers: [34]
34,51 unequal: No Solution
Exploring Operation: 30*4=120, Resulting Numbers: [120]
120,51 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,51 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: 51:[30, 57, 61], Operations: ['78-17=61']
Exploring Operation: 30+57=87, Resulting Numbers: [61, 87]
Generated Node #0,2,0: 51:[61, 87] Operation: 30+57=87
Exploring Operation: 61-30=31, Resulting Numbers: [57, 31]
Generated Node #0,2,1: 51:[57, 31] Operation: 61-30=31
Exploring Operation: 61-57=4, Resulting Numbers: [30, 4]
Generated Node #0,2,2: 51:[30, 4] Operation: 61-57=4
Exploring Operation: 57-30=27, Resulting Numbers: [61, 27]
Generated Node #0,2,3: 51:[61, 27] Operation: 57-30=27
Exploring Operation: 30+61=91, Resulting Numbers: [57, 91]
Generated Node #0,2,4: 51:[57, 91] Operation: 30+61=91
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 51:[30, 4], Operations: ['78-17=61', '61-57=4']
Exploring Operation: 30*4=120, Resulting Numbers: [120]
120,51 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,51 unequal: No Solution
Exploring Operation: 30+4=34, Resulting Numbers: [34]
34,51 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: 51:[57, 31], Operations: ['78-17=61', '61-30=31']
Exploring Operation: 57*31=1767, Resulting Numbers: [1767]
1767,51 unequal: No Solution
Exploring Operation: 57-31=26, Resulting Numbers: [26]
26,51 unequal: No Solution
Exploring Operation: 57+31=88, Resulting Numbers: [88]
88,51 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: 51:[61, 27], Operations: ['78-17=61', '57-30=27']
Exploring Operation: 61*27=1647, Resulting Numbers: [1647]
1647,51 unequal: No Solution
Exploring Operation: 61+27=88, Resulting Numbers: [88]
88,51 unequal: No Solution
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,51 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: 51:[61, 87], Operations: ['78-17=61', '30+57=87']
Exploring Operation: 61*87=5307, Resulting Numbers: [5307]
5307,51 unequal: No Solution
Exploring Operation: 87-61=26, Resulting Numbers: [26]
26,51 unequal: No Solution
Exploring Operation: 61+87=148, Resulting Numbers: [148]
148,51 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: 51:[57, 91], Operations: ['78-17=61', '30+61=91']
Exploring Operation: 57+91=148, Resulting Numbers: [148]
148,51 unequal: No Solution
Exploring Operation: 91-57=34, Resulting Numbers: [34]
34,51 unequal: No Solution
Exploring Operation: 57*91=5187, Resulting Numbers: [5187]
5187,51 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: 51:[17, 78, 27], Operations: ['57-30=27']
Exploring Operation: 78-27=51, Resulting Numbers: [17, 51]
Generated Node #0,1,0: 51:[17, 51] Operation: 78-27=51
Exploring Operation: 17+78=95, Resulting Numbers: [27, 95]
Generated Node #0,1,1: 51:[27, 95] Operation: 17+78=95
Exploring Operation: 27-17=10, Resulting Numbers: [78, 10]
Generated Node #0,1,2: 51:[78, 10] Operation: 27-17=10
Exploring Operation: 17+27=44, Resulting Numbers: [78, 44]
Generated Node #0,1,3: 51:[78, 44] Operation: 17+27=44
Exploring Operation: 78-17=61, Resulting Numbers: [27, 61]
Generated Node #0,1,4: 51:[27, 61] Operation: 78-17=61
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 51:[17, 51], Operations: ['57-30=27', '78-27=51']
Exploring Operation: 51-17=34, Resulting Numbers: [34]
34,51 unequal: No Solution
Exploring Operation: 51/17=3, Resulting Numbers: [3]
3,51 unequal: No Solution
Exploring Operation: 17+51=68, Resulting Numbers: [68]
68,51 unequal: No Solution
Exploring Operation: 17*51=867, Resulting Numbers: [867]
867,51 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: 51:[27, 61], Operations: ['57-30=27', '78-17=61']
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,51 unequal: No Solution
Exploring Operation: 27*61=1647, Resulting Numbers: [1647]
1647,51 unequal: No Solution
Exploring Operation: 27+61=88, Resulting Numbers: [88]
88,51 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: 51:[78, 10], Operations: ['57-30=27', '27-17=10']
Exploring Operation: 78*10=780, Resulting Numbers: [780]
780,51 unequal: No Solution
Exploring Operation: 78+10=88, Resulting Numbers: [88]
88,51 unequal: No Solution
Exploring Operation: 78-10=68, Resulting Numbers: [68]
68,51 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: 51:[78, 44], Operations: ['57-30=27', '17+27=44']
Exploring Operation: 78-44=34, Resulting Numbers: [34]
34,51 unequal: No Solution
Exploring Operation: 78*44=3432, Resulting Numbers: [3432]
3432,51 unequal: No Solution
Exploring Operation: 78+44=122, Resulting Numbers: [122]
122,51 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: 51:[27, 95], Operations: ['57-30=27', '17+78=95']
Exploring Operation: 27+95=122, Resulting Numbers: [122]
122,51 unequal: No Solution
Exploring Operation: 95-27=68, Resulting Numbers: [68]
68,51 unequal: No Solution
Exploring Operation: 27*95=2565, Resulting Numbers: [2565]
2565,51 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: 51:[57, 78, 47], Operations: ['30+17=47']
Exploring Operation: 78-47=31, Resulting Numbers: [57, 31]
Generated Node #0,3,0: 51:[57, 31] Operation: 78-47=31
Exploring Operation: 78+47=125, Resulting Numbers: [57, 125]
Generated Node #0,3,1: 51:[57, 125] Operation: 78+47=125
Exploring Operation: 78-57=21, Resulting Numbers: [47, 21]
Generated Node #0,3,2: 51:[47, 21] Operation: 78-57=21
Exploring Operation: 57-47=10, Resulting Numbers: [78, 10]
Generated Node #0,3,3: 51:[78, 10] Operation: 57-47=10
Exploring Operation: 57+47=104, Resulting Numbers: [78, 104]
Generated Node #0,3,4: 51:[78, 104] Operation: 57+47=104
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 51:[47, 21], Operations: ['30+17=47', '78-57=21']
Exploring Operation: 47*21=987, Resulting Numbers: [987]
987,51 unequal: No Solution
Exploring Operation: 47+21=68, Resulting Numbers: [68]
68,51 unequal: No Solution
Exploring Operation: 47-21=26, Resulting Numbers: [26]
26,51 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: 51:[57, 31], Operations: ['30+17=47', '78-47=31']
Exploring Operation: 57+31=88, Resulting Numbers: [88]
88,51 unequal: No Solution
Exploring Operation: 57-31=26, Resulting Numbers: [26]
26,51 unequal: No Solution
Exploring Operation: 57*31=1767, Resulting Numbers: [1767]
1767,51 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: 51:[78, 10], Operations: ['30+17=47', '57-47=10']
Exploring Operation: 78-10=68, Resulting Numbers: [68]
68,51 unequal: No Solution
Exploring Operation: 78*10=780, Resulting Numbers: [780]
780,51 unequal: No Solution
Exploring Operation: 78+10=88, Resulting Numbers: [88]
88,51 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: 51:[57, 125], Operations: ['30+17=47', '78+47=125']
Exploring Operation: 57*125=7125, Resulting Numbers: [7125]
7125,51 unequal: No Solution
Exploring Operation: 125-57=68, Resulting Numbers: [68]
68,51 unequal: No Solution
Exploring Operation: 57+125=182, Resulting Numbers: [182]
182,51 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: 51:[78, 104], Operations: ['30+17=47', '57+47=104']
Exploring Operation: 78+104=182, Resulting Numbers: [182]
182,51 unequal: No Solution
Exploring Operation: 78*104=8112, Resulting Numbers: [8112]
8112,51 unequal: No Solution
Exploring Operation: 104-78=26, Resulting Numbers: [26]
26,51 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: 51:[17, 9], Operations: ['78-30=48', '57-48=9']
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,51 unequal: No Solution
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 17*9=153, Resulting Numbers: [153]
153,51 unequal: No Solution
Moving to Node #0,0,3
Current State: 51:[48, 40], Operations: ['78-30=48', '57-17=40']
Exploring Operation: 48+40=88, Resulting Numbers: [88]
88,51 unequal: No Solution
Exploring Operation: 48*40=1920, Resulting Numbers: [1920]
1920,51 unequal: No Solution
Exploring Operation: 48-40=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Moving to Node #0,0,1
Current State: 51:[57, 65], Operations: ['78-30=48', '17+48=65']
Exploring Operation: 57+65=122, Resulting Numbers: [122]
122,51 unequal: No Solution
Exploring Operation: 57*65=3705, Resulting Numbers: [3705]
3705,51 unequal: No Solution
Exploring Operation: 65-57=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Moving to Node #0,0,4
Current State: 51:[57, 31], Operations: ['78-30=48', '48-17=31']
Exploring Operation: 57*31=1767, Resulting Numbers: [1767]
1767,51 unequal: No Solution
Exploring Operation: 57-31=26, Resulting Numbers: [26]
26,51 unequal: No Solution
Exploring Operation: 57+31=88, Resulting Numbers: [88]
88,51 unequal: No Solution
Moving to Node #0,0,2
Current State: 51:[48, 74], Operations: ['78-30=48', '57+17=74']
Exploring Operation: 48+74=122, Resulting Numbers: [122]
122,51 unequal: No Solution
Exploring Operation: 74-48=26, Resulting Numbers: [26]
26,51 unequal: No Solution
Exploring Operation: 48*74=3552, Resulting Numbers: [3552]
3552,51 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
27,
72,
2,
43
] | 80 | [
"43-27=16",
"16/2=8",
"72+8=80"
] | Current State: 80:[27, 72, 2, 43], Operations: []
Exploring Operation: 43-27=16, Resulting Numbers: [72, 2, 16]
Generated Node #2: [72, 2, 16] from Operation: 43-27=16
Current State: 80:[72, 2, 16], Operations: ['43-27=16']
Exploring Operation: 16/2=8, Resulting Numbers: [72, 8]
Generated Node #3: [72, 8] from Operation: 16/2=8
Current State: 80:[72, 8], Operations: ['43-27=16', '16/2=8']
Exploring Operation: 72+8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[27, 72, 2, 43], Operations: []
Exploring Operation: 72/2=36, Resulting Numbers: [27, 43, 36]
Generated Node #0,0: 80:[27, 43, 36] Operation: 72/2=36
Exploring Operation: 43-27=16, Resulting Numbers: [72, 2, 16]
Generated Node #0,1: 80:[72, 2, 16] Operation: 43-27=16
Exploring Operation: 72-27=45, Resulting Numbers: [2, 43, 45]
Generated Node #0,2: 80:[2, 43, 45] Operation: 72-27=45
Moving to Node #0,1
Current State: 80:[72, 2, 16], Operations: ['43-27=16']
Exploring Operation: 72+2=74, Resulting Numbers: [16, 74]
Generated Node #0,1,0: 80:[16, 74] Operation: 72+2=74
Exploring Operation: 72/2=36, Resulting Numbers: [16, 36]
Generated Node #0,1,1: 80:[16, 36] Operation: 72/2=36
Exploring Operation: 72+16=88, Resulting Numbers: [2, 88]
Generated Node #0,1,2: 80:[2, 88] Operation: 72+16=88
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 80:[16, 36], Operations: ['43-27=16', '72/2=36']
Exploring Operation: 16+36=52, Resulting Numbers: [52]
52,80 unequal: No Solution
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,80 unequal: No Solution
Exploring Operation: 16*36=576, Resulting Numbers: [576]
576,80 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 #0,1,0
Current State: 80:[16, 74], Operations: ['43-27=16', '72+2=74']
Exploring Operation: 74-16=58, Resulting Numbers: [58]
58,80 unequal: No Solution
Exploring Operation: 16+74=90, Resulting Numbers: [90]
90,80 unequal: No Solution
Exploring Operation: 16*74=1184, Resulting Numbers: [1184]
1184,80 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 #0,1,2
Current State: 80:[2, 88], Operations: ['43-27=16', '72+16=88']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,80 unequal: No Solution
Exploring Operation: 2+88=90, Resulting Numbers: [90]
90,80 unequal: No Solution
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,80 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: 80:[2, 43, 45], Operations: ['72-27=45']
Exploring Operation: 43-2=41, Resulting Numbers: [45, 41]
Generated Node #0,2,0: 80:[45, 41] Operation: 43-2=41
Exploring Operation: 45-2=43, Resulting Numbers: [43, 43]
Generated Node #0,2,1: 80:[43, 43] Operation: 45-2=43
Exploring Operation: 45-43=2, Resulting Numbers: [2, 2]
Generated Node #0,2,2: 80:[2, 2] Operation: 45-43=2
Moving to Node #0,0
Current State: 80:[27, 43, 36], Operations: ['72/2=36']
Exploring Operation: 43-27=16, Resulting Numbers: [36, 16]
Generated Node #0,0,0: 80:[36, 16] Operation: 43-27=16
Exploring Operation: 43+36=79, Resulting Numbers: [27, 79]
Generated Node #0,0,1: 80:[27, 79] Operation: 43+36=79
Exploring Operation: 36-27=9, Resulting Numbers: [43, 9]
Generated Node #0,0,2: 80:[43, 9] Operation: 36-27=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[36, 16], Operations: ['72/2=36', '43-27=16']
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,80 unequal: No Solution
Exploring Operation: 36*16=576, Resulting Numbers: [576]
576,80 unequal: No Solution
Exploring Operation: 36+16=52, Resulting Numbers: [52]
52,80 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 #0,0,2
Current State: 80:[43, 9], Operations: ['72/2=36', '36-27=9']
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,80 unequal: No Solution
Exploring Operation: 43*9=387, Resulting Numbers: [387]
387,80 unequal: No Solution
Exploring Operation: 43+9=52, Resulting Numbers: [52]
52,80 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 #0,0,1
Current State: 80:[27, 79], Operations: ['72/2=36', '43+36=79']
Exploring Operation: 79-27=52, Resulting Numbers: [52]
52,80 unequal: No Solution
Exploring Operation: 27*79=2133, Resulting Numbers: [2133]
2133,80 unequal: No Solution
Exploring Operation: 27+79=106, Resulting Numbers: [106]
106,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 80:[2, 2], Operations: ['72-27=45', '45-43=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Moving to Node #0,2,0
Current State: 80:[45, 41], Operations: ['72-27=45', '43-2=41']
Exploring Operation: 45-41=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 45*41=1845, Resulting Numbers: [1845]
1845,80 unequal: No Solution
Exploring Operation: 45+41=86, Resulting Numbers: [86]
86,80 unequal: No Solution
Moving to Node #0,2,1
Current State: 80:[43, 43], Operations: ['72-27=45', '45-2=43']
Exploring Operation: 43-43=0, Resulting Numbers: [0]
0,80 unequal: No Solution
Exploring Operation: 43+43=86, Resulting Numbers: [86]
86,80 unequal: No Solution
Exploring Operation: 43/43=1, Resulting Numbers: [1]
1,80 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
93,
69,
27,
69
] | 27 | [
"69-69=0",
"93*0=0",
"27+0=27"
] | Current State: 27:[93, 69, 27, 69], Operations: []
Exploring Operation: 69-69=0, Resulting Numbers: [93, 27, 0]
Generated Node #2: [93, 27, 0] from Operation: 69-69=0
Current State: 27:[93, 27, 0], Operations: ['69-69=0']
Exploring Operation: 93*0=0, Resulting Numbers: [27, 0]
Generated Node #3: [27, 0] from Operation: 93*0=0
Current State: 27:[27, 0], Operations: ['69-69=0', '93*0=0']
Exploring Operation: 27+0=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[93, 69, 27, 69], Operations: []
Exploring Operation: 93-69=24, Resulting Numbers: [27, 69, 24]
Generated Node #0,0: 27:[27, 69, 24] Operation: 93-69=24
Moving to Node #0,0
Current State: 27:[27, 69, 24], Operations: ['93-69=24']
Exploring Operation: 69-27=42, Resulting Numbers: [24, 42]
Generated Node #0,0,0: 27:[24, 42] Operation: 69-27=42
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 27:[24, 42], Operations: ['93-69=24', '69-27=42']
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,27 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 |
[
23,
45,
87,
4
] | 15 | [
"23+45=68",
"87-4=83",
"83-68=15"
] | Current State: 15:[23, 45, 87, 4], Operations: []
Exploring Operation: 23+45=68, Resulting Numbers: [87, 4, 68]
Generated Node #2: [87, 4, 68] from Operation: 23+45=68
Current State: 15:[87, 4, 68], Operations: ['23+45=68']
Exploring Operation: 87-4=83, Resulting Numbers: [68, 83]
Generated Node #3: [68, 83] from Operation: 87-4=83
Current State: 15:[68, 83], Operations: ['23+45=68', '87-4=83']
Exploring Operation: 83-68=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[23, 45, 87, 4], Operations: []
Exploring Operation: 87-45=42, Resulting Numbers: [23, 4, 42]
Generated Node #0,0: 15:[23, 4, 42] Operation: 87-45=42
Moving to Node #0,0
Current State: 15:[23, 4, 42], Operations: ['87-45=42']
Exploring Operation: 42-23=19, Resulting Numbers: [4, 19]
Generated Node #0,0,0: 15:[4, 19] Operation: 42-23=19
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 15:[4, 19], Operations: ['87-45=42', '42-23=19']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[23, 45, 87, 4], Operations: []
Exploring Operation: 87-45=42, Resulting Numbers: [23, 4, 42]
Generated Node #0,0: 15:[23, 4, 42] Operation: 87-45=42
Moving to Node #0,0
Current State: 15:[23, 4, 42], Operations: ['87-45=42']
Exploring Operation: 42-23=19, Resulting Numbers: [4, 19]
Generated Node #0,0,0: 15:[4, 19] Operation: 42-23=19
Moving to Node #0,0,0
Current State: 15:[4, 19], Operations: ['87-45=42', '42-23=19']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
83,
35,
95,
22
] | 25 | [
"83-35=48",
"95-22=73",
"73-48=25"
] | Current State: 25:[83, 35, 95, 22], Operations: []
Exploring Operation: 83-35=48, Resulting Numbers: [95, 22, 48]
Generated Node #2: [95, 22, 48] from Operation: 83-35=48
Current State: 25:[95, 22, 48], Operations: ['83-35=48']
Exploring Operation: 95-22=73, Resulting Numbers: [48, 73]
Generated Node #3: [48, 73] from Operation: 95-22=73
Current State: 25:[48, 73], Operations: ['83-35=48', '95-22=73']
Exploring Operation: 73-48=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[83, 35, 95, 22], Operations: []
Exploring Operation: 95-83=12, Resulting Numbers: [35, 22, 12]
Generated Node #0,0: 25:[35, 22, 12] Operation: 95-83=12
Exploring Operation: 83-35=48, Resulting Numbers: [95, 22, 48]
Generated Node #0,1: 25:[95, 22, 48] Operation: 83-35=48
Exploring Operation: 95-35=60, Resulting Numbers: [83, 22, 60]
Generated Node #0,2: 25:[83, 22, 60] Operation: 95-35=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[35, 22, 12], Operations: ['95-83=12']
Exploring Operation: 35-22=13, Resulting Numbers: [12, 13]
Generated Node #0,0,0: 25:[12, 13] Operation: 35-22=13
Exploring Operation: 35-12=23, Resulting Numbers: [22, 23]
Generated Node #0,0,1: 25:[22, 23] Operation: 35-12=23
Exploring Operation: 22-12=10, Resulting Numbers: [35, 10]
Generated Node #0,0,2: 25:[35, 10] Operation: 22-12=10
Moving to Node #0,0,1
Current State: 25:[22, 23], Operations: ['95-83=12', '35-12=23']
Exploring Operation: 22+23=45, Resulting Numbers: [45]
45,25 unequal: No Solution
Exploring Operation: 23-22=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 22*23=506, Resulting Numbers: [506]
506,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[12, 13], Operations: ['95-83=12', '35-22=13']
Exploring Operation: 12*13=156, Resulting Numbers: [156]
156,25 unequal: No Solution
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 12+13=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[83, 35, 95, 22], Operations: []
Exploring Operation: 95-83=12, Resulting Numbers: [35, 22, 12]
Generated Node #0,0: 25:[35, 22, 12] Operation: 95-83=12
Moving to Node #0,0
Current State: 25:[35, 22, 12], Operations: ['95-83=12']
Exploring Operation: 35-22=13, Resulting Numbers: [12, 13]
Generated Node #0,0,0: 25:[12, 13] Operation: 35-22=13
Moving to Node #0,0,0
Current State: 25:[12, 13], Operations: ['95-83=12', '35-22=13']
Exploring Operation: 12+13=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
81,
26,
74,
33
] | 52 | [
"81-26=55",
"74+33=107",
"107-55=52"
] | Current State: 52:[81, 26, 74, 33], Operations: []
Exploring Operation: 81-26=55, Resulting Numbers: [74, 33, 55]
Generated Node #2: [74, 33, 55] from Operation: 81-26=55
Current State: 52:[74, 33, 55], Operations: ['81-26=55']
Exploring Operation: 74+33=107, Resulting Numbers: [55, 107]
Generated Node #3: [55, 107] from Operation: 74+33=107
Current State: 52:[55, 107], Operations: ['81-26=55', '74+33=107']
Exploring Operation: 107-55=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[81, 26, 74, 33], Operations: []
Exploring Operation: 81-26=55, Resulting Numbers: [74, 33, 55]
Generated Node #0,0: 52:[74, 33, 55] Operation: 81-26=55
Exploring Operation: 74-26=48, Resulting Numbers: [81, 33, 48]
Generated Node #0,1: 52:[81, 33, 48] Operation: 74-26=48
Exploring Operation: 81-33=48, Resulting Numbers: [26, 74, 48]
Generated Node #0,2: 52:[26, 74, 48] Operation: 81-33=48
Exploring Operation: 81-74=7, Resulting Numbers: [26, 33, 7]
Generated Node #0,3: 52:[26, 33, 7] Operation: 81-74=7
Moving to Node #0,3
Current State: 52:[26, 33, 7], Operations: ['81-74=7']
Exploring Operation: 33-26=7, Resulting Numbers: [7, 7]
Generated Node #0,3,0: 52:[7, 7] Operation: 33-26=7
Exploring Operation: 33+7=40, Resulting Numbers: [26, 40]
Generated Node #0,3,1: 52:[26, 40] Operation: 33+7=40
Exploring Operation: 26+33=59, Resulting Numbers: [7, 59]
Generated Node #0,3,2: 52:[7, 59] Operation: 26+33=59
Exploring Operation: 33-7=26, Resulting Numbers: [26, 26]
Generated Node #0,3,3: 52:[26, 26] Operation: 33-7=26
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 52:[26, 26], Operations: ['81-74=7', '33-7=26']
Exploring Operation: 26/26=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 26-26=0, Resulting Numbers: [0]
0,52 unequal: No Solution
Exploring Operation: 26*26=676, Resulting Numbers: [676]
676,52 unequal: No Solution
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[81, 26, 74, 33], Operations: []
Exploring Operation: 81-74=7, Resulting Numbers: [26, 33, 7]
Generated Node #0,3: 52:[26, 33, 7] Operation: 81-74=7
Moving to Node #0,3
Current State: 52:[26, 33, 7], Operations: ['81-74=7']
Exploring Operation: 33-7=26, Resulting Numbers: [26, 26]
Generated Node #0,3,3: 52:[26, 26] Operation: 33-7=26
Moving to Node #0,3,3
Current State: 52:[26, 26], Operations: ['81-74=7', '33-7=26']
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
52,
27,
23,
40
] | 42 | [
"52-27=25",
"40-23=17",
"25+17=42"
] | Current State: 42:[52, 27, 23, 40], Operations: []
Exploring Operation: 52-27=25, Resulting Numbers: [23, 40, 25]
Generated Node #2: [23, 40, 25] from Operation: 52-27=25
Current State: 42:[23, 40, 25], Operations: ['52-27=25']
Exploring Operation: 40-23=17, Resulting Numbers: [25, 17]
Generated Node #3: [25, 17] from Operation: 40-23=17
Current State: 42:[25, 17], Operations: ['52-27=25', '40-23=17']
Exploring Operation: 25+17=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[52, 27, 23, 40], Operations: []
Exploring Operation: 52-27=25, Resulting Numbers: [23, 40, 25]
Generated Node #0,0: 42:[23, 40, 25] Operation: 52-27=25
Exploring Operation: 52-40=12, Resulting Numbers: [27, 23, 12]
Generated Node #0,1: 42:[27, 23, 12] Operation: 52-40=12
Moving to Node #0,0
Current State: 42:[23, 40, 25], Operations: ['52-27=25']
Exploring Operation: 25-23=2, Resulting Numbers: [40, 2]
Generated Node #0,0,0: 42:[40, 2] Operation: 25-23=2
Exploring Operation: 40-25=15, Resulting Numbers: [23, 15]
Generated Node #0,0,1: 42:[23, 15] Operation: 40-25=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 42:[40, 2], Operations: ['52-27=25', '25-23=2']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,42 unequal: No Solution
Exploring Operation: 40+2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[52, 27, 23, 40], Operations: []
Exploring Operation: 52-27=25, Resulting Numbers: [23, 40, 25]
Generated Node #0,0: 42:[23, 40, 25] Operation: 52-27=25
Moving to Node #0,0
Current State: 42:[23, 40, 25], Operations: ['52-27=25']
Exploring Operation: 25-23=2, Resulting Numbers: [40, 2]
Generated Node #0,0,0: 42:[40, 2] Operation: 25-23=2
Moving to Node #0,0,0
Current State: 42:[40, 2], Operations: ['52-27=25', '25-23=2']
Exploring Operation: 40+2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
1,
47,
79,
64
] | 32 | [
"1*47=47",
"79-64=15",
"47-15=32"
] | Current State: 32:[1, 47, 79, 64], Operations: []
Exploring Operation: 1*47=47, Resulting Numbers: [79, 64, 47]
Generated Node #2: [79, 64, 47] from Operation: 1*47=47
Current State: 32:[79, 64, 47], Operations: ['1*47=47']
Exploring Operation: 79-64=15, Resulting Numbers: [47, 15]
Generated Node #3: [47, 15] from Operation: 79-64=15
Current State: 32:[47, 15], Operations: ['1*47=47', '79-64=15']
Exploring Operation: 47-15=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[1, 47, 79, 64], Operations: []
Exploring Operation: 79-47=32, Resulting Numbers: [1, 64, 32]
Generated Node #0,0: 32:[1, 64, 32] Operation: 79-47=32
Exploring Operation: 79-64=15, Resulting Numbers: [1, 47, 15]
Generated Node #0,1: 32:[1, 47, 15] Operation: 79-64=15
Moving to Node #0,1
Current State: 32:[1, 47, 15], Operations: ['79-64=15']
Exploring Operation: 47-15=32, Resulting Numbers: [1, 32]
Generated Node #0,1,0: 32:[1, 32] Operation: 47-15=32
Exploring Operation: 47-1=46, Resulting Numbers: [15, 46]
Generated Node #0,1,1: 32:[15, 46] Operation: 47-1=46
Moving to Node #0,0
Current State: 32:[1, 64, 32], Operations: ['79-47=32']
Exploring Operation: 64/32=2, Resulting Numbers: [1, 2]
Generated Node #0,0,0: 32:[1, 2] Operation: 64/32=2
Exploring Operation: 64-32=32, Resulting Numbers: [1, 32]
Generated Node #0,0,1: 32:[1, 32] Operation: 64-32=32
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[1, 2], Operations: ['79-47=32', '64/32=2']
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,32 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: 32:[1, 32], Operations: ['79-47=32', '64-32=32']
Exploring Operation: 32/1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[1, 47, 79, 64], Operations: []
Exploring Operation: 79-47=32, Resulting Numbers: [1, 64, 32]
Generated Node #0,0: 32:[1, 64, 32] Operation: 79-47=32
Moving to Node #0,0
Current State: 32:[1, 64, 32], Operations: ['79-47=32']
Exploring Operation: 64-32=32, Resulting Numbers: [1, 32]
Generated Node #0,0,1: 32:[1, 32] Operation: 64-32=32
Moving to Node #0,0,1
Current State: 32:[1, 32], Operations: ['79-47=32', '64-32=32']
Exploring Operation: 32/1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_2 | mult_heuristic |
[
74,
4,
37,
99
] | 97 | [
"74/37=2",
"99-4=95",
"2+95=97"
] | Current State: 97:[74, 4, 37, 99], Operations: []
Exploring Operation: 74/37=2, Resulting Numbers: [4, 99, 2]
Generated Node #2: [4, 99, 2] from Operation: 74/37=2
Current State: 97:[4, 99, 2], Operations: ['74/37=2']
Exploring Operation: 99-4=95, Resulting Numbers: [2, 95]
Generated Node #3: [2, 95] from Operation: 99-4=95
Current State: 97:[2, 95], Operations: ['74/37=2', '99-4=95']
Exploring Operation: 2+95=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[74, 4, 37, 99], Operations: []
Exploring Operation: 4+37=41, Resulting Numbers: [74, 99, 41]
Generated Node #0,0: 97:[74, 99, 41] Operation: 4+37=41
Exploring Operation: 74+4=78, Resulting Numbers: [37, 99, 78]
Generated Node #0,1: 97:[37, 99, 78] Operation: 74+4=78
Exploring Operation: 4*37=148, Resulting Numbers: [74, 99, 148]
Generated Node #0,2: 97:[74, 99, 148] Operation: 4*37=148
Start Sub Search at level 1: Moving to Node #0,2
Current State: 97:[74, 99, 148], Operations: ['4*37=148']
Exploring Operation: 148/74=2, Resulting Numbers: [99, 2]
Generated Node #0,2,0: 97:[99, 2] Operation: 148/74=2
Exploring Operation: 148-99=49, Resulting Numbers: [74, 49]
Generated Node #0,2,1: 97:[74, 49] Operation: 148-99=49
Exploring Operation: 148-74=74, Resulting Numbers: [99, 74]
Generated Node #0,2,2: 97:[99, 74] Operation: 148-74=74
Moving to Node #0,2,2
Current State: 97:[99, 74], Operations: ['4*37=148', '148-74=74']
Exploring Operation: 99+74=173, Resulting Numbers: [173]
173,97 unequal: No Solution
Exploring Operation: 99*74=7326, Resulting Numbers: [7326]
7326,97 unequal: No Solution
Exploring Operation: 99-74=25, Resulting Numbers: [25]
25,97 unequal: No Solution
Moving to Node #0,2,1
Current State: 97:[74, 49], Operations: ['4*37=148', '148-99=49']
Exploring Operation: 74-49=25, Resulting Numbers: [25]
25,97 unequal: No Solution
Exploring Operation: 74+49=123, Resulting Numbers: [123]
123,97 unequal: No Solution
Exploring Operation: 74*49=3626, Resulting Numbers: [3626]
3626,97 unequal: No Solution
Moving to Node #0,2,0
Current State: 97:[99, 2], Operations: ['4*37=148', '148/74=2']
Exploring Operation: 99+2=101, Resulting Numbers: [101]
101,97 unequal: No Solution
Exploring Operation: 99-2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[74, 4, 37, 99], Operations: []
Exploring Operation: 4*37=148, Resulting Numbers: [74, 99, 148]
Generated Node #0,2: 97:[74, 99, 148] Operation: 4*37=148
Moving to Node #0,2
Current State: 97:[74, 99, 148], Operations: ['4*37=148']
Exploring Operation: 148/74=2, Resulting Numbers: [99, 2]
Generated Node #0,2,0: 97:[99, 2] Operation: 148/74=2
Moving to Node #0,2,0
Current State: 97:[99, 2], Operations: ['4*37=148', '148/74=2']
Exploring Operation: 99-2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | sum_heuristic |
[
32,
18,
78,
38
] | 75 | [
"38-32=6",
"18/6=3",
"78-3=75"
] | Current State: 75:[32, 18, 78, 38], Operations: []
Exploring Operation: 38-32=6, Resulting Numbers: [18, 78, 6]
Generated Node #2: [18, 78, 6] from Operation: 38-32=6
Current State: 75:[18, 78, 6], Operations: ['38-32=6']
Exploring Operation: 18/6=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 18/6=3
Current State: 75:[78, 3], Operations: ['38-32=6', '18/6=3']
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[32, 18, 78, 38], Operations: []
Exploring Operation: 38-32=6, Resulting Numbers: [18, 78, 6]
Generated Node #0,0: 75:[18, 78, 6] Operation: 38-32=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[18, 78, 6], Operations: ['38-32=6']
Exploring Operation: 18/6=3, Resulting Numbers: [78, 3]
Generated Node #0,0,0: 75:[78, 3] Operation: 18/6=3
Moving to Node #0,0,0
Current State: 75:[78, 3], Operations: ['38-32=6', '18/6=3']
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[32, 18, 78, 38], Operations: []
Exploring Operation: 38-32=6, Resulting Numbers: [18, 78, 6]
Generated Node #0,0: 75:[18, 78, 6] Operation: 38-32=6
Moving to Node #0,0
Current State: 75:[18, 78, 6], Operations: ['38-32=6']
Exploring Operation: 18/6=3, Resulting Numbers: [78, 3]
Generated Node #0,0,0: 75:[78, 3] Operation: 18/6=3
Moving to Node #0,0,0
Current State: 75:[78, 3], Operations: ['38-32=6', '18/6=3']
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
40,
79,
86,
2
] | 86 | [
"40*2=80",
"80-79=1",
"86*1=86"
] | Current State: 86:[40, 79, 86, 2], Operations: []
Exploring Operation: 40*2=80, Resulting Numbers: [79, 86, 80]
Generated Node #2: [79, 86, 80] from Operation: 40*2=80
Current State: 86:[79, 86, 80], Operations: ['40*2=80']
Exploring Operation: 80-79=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 80-79=1
Current State: 86:[86, 1], Operations: ['40*2=80', '80-79=1']
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[40, 79, 86, 2], Operations: []
Exploring Operation: 86-79=7, Resulting Numbers: [40, 2, 7]
Generated Node #0,0: 86:[40, 2, 7] Operation: 86-79=7
Exploring Operation: 40+2=42, Resulting Numbers: [79, 86, 42]
Generated Node #0,1: 86:[79, 86, 42] Operation: 40+2=42
Exploring Operation: 79-40=39, Resulting Numbers: [86, 2, 39]
Generated Node #0,2: 86:[86, 2, 39] Operation: 79-40=39
Exploring Operation: 79+2=81, Resulting Numbers: [40, 86, 81]
Generated Node #0,3: 86:[40, 86, 81] Operation: 79+2=81
Moving to Node #0,2
Current State: 86:[86, 2, 39], Operations: ['79-40=39']
Exploring Operation: 2+39=41, Resulting Numbers: [86, 41]
Generated Node #0,2,0: 86:[86, 41] Operation: 2+39=41
Exploring Operation: 86+2=88, Resulting Numbers: [39, 88]
Generated Node #0,2,1: 86:[39, 88] Operation: 86+2=88
Exploring Operation: 86/2=43, Resulting Numbers: [39, 43]
Generated Node #0,2,2: 86:[39, 43] Operation: 86/2=43
Exploring Operation: 86-39=47, Resulting Numbers: [2, 47]
Generated Node #0,2,3: 86:[2, 47] Operation: 86-39=47
Moving to Node #0,1
Current State: 86:[79, 86, 42], Operations: ['40+2=42']
Exploring Operation: 79+42=121, Resulting Numbers: [86, 121]
Generated Node #0,1,0: 86:[86, 121] Operation: 79+42=121
Exploring Operation: 86-42=44, Resulting Numbers: [79, 44]
Generated Node #0,1,1: 86:[79, 44] Operation: 86-42=44
Exploring Operation: 79-42=37, Resulting Numbers: [86, 37]
Generated Node #0,1,2: 86:[86, 37] Operation: 79-42=37
Exploring Operation: 86-79=7, Resulting Numbers: [42, 7]
Generated Node #0,1,3: 86:[42, 7] Operation: 86-79=7
Moving to Node #0,0
Current State: 86:[40, 2, 7], Operations: ['86-79=7']
Exploring Operation: 40+7=47, Resulting Numbers: [2, 47]
Generated Node #0,0,0: 86:[2, 47] Operation: 40+7=47
Exploring Operation: 40-2=38, Resulting Numbers: [7, 38]
Generated Node #0,0,1: 86:[7, 38] Operation: 40-2=38
Exploring Operation: 7-2=5, Resulting Numbers: [40, 5]
Generated Node #0,0,2: 86:[40, 5] Operation: 7-2=5
Exploring Operation: 40+2=42, Resulting Numbers: [7, 42]
Generated Node #0,0,3: 86:[7, 42] Operation: 40+2=42
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[2, 47], Operations: ['86-79=7', '40+7=47']
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,86 unequal: No Solution
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,86 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,86 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: 86:[40, 5], Operations: ['86-79=7', '7-2=5']
Exploring Operation: 40*5=200, Resulting Numbers: [200]
200,86 unequal: No Solution
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,86 unequal: No Solution
Exploring Operation: 40+5=45, Resulting Numbers: [45]
45,86 unequal: No Solution
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,86 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: 86:[7, 42], Operations: ['86-79=7', '40+2=42']
Exploring Operation: 42/7=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Exploring Operation: 7+42=49, Resulting Numbers: [49]
49,86 unequal: No Solution
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,86 unequal: No Solution
Exploring Operation: 7*42=294, Resulting Numbers: [294]
294,86 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: 86:[7, 38], Operations: ['86-79=7', '40-2=38']
Exploring Operation: 7*38=266, Resulting Numbers: [266]
266,86 unequal: No Solution
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,86 unequal: No Solution
Exploring Operation: 7+38=45, Resulting Numbers: [45]
45,86 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: 86:[40, 86, 81], Operations: ['79+2=81']
Exploring Operation: 40+81=121, Resulting Numbers: [86, 121]
Generated Node #0,3,0: 86:[86, 121] Operation: 40+81=121
Exploring Operation: 81-40=41, Resulting Numbers: [86, 41]
Generated Node #0,3,1: 86:[86, 41] Operation: 81-40=41
Exploring Operation: 86-40=46, Resulting Numbers: [81, 46]
Generated Node #0,3,2: 86:[81, 46] Operation: 86-40=46
Exploring Operation: 86-81=5, Resulting Numbers: [40, 5]
Generated Node #0,3,3: 86:[40, 5] Operation: 86-81=5
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 86:[86, 41], Operations: ['79+2=81', '81-40=41']
Exploring Operation: 86-41=45, Resulting Numbers: [45]
45,86 unequal: No Solution
Exploring Operation: 86+41=127, Resulting Numbers: [127]
127,86 unequal: No Solution
Exploring Operation: 86*41=3526, Resulting Numbers: [3526]
3526,86 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: 86:[40, 5], Operations: ['79+2=81', '86-81=5']
Exploring Operation: 40+5=45, Resulting Numbers: [45]
45,86 unequal: No Solution
Exploring Operation: 40*5=200, Resulting Numbers: [200]
200,86 unequal: No Solution
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,86 unequal: No Solution
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,86 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: 86:[81, 46], Operations: ['79+2=81', '86-40=46']
Exploring Operation: 81-46=35, Resulting Numbers: [35]
35,86 unequal: No Solution
Exploring Operation: 81*46=3726, Resulting Numbers: [3726]
3726,86 unequal: No Solution
Exploring Operation: 81+46=127, Resulting Numbers: [127]
127,86 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: 86:[86, 121], Operations: ['79+2=81', '40+81=121']
Exploring Operation: 86*121=10406, Resulting Numbers: [10406]
10406,86 unequal: No Solution
Exploring Operation: 86+121=207, Resulting Numbers: [207]
207,86 unequal: No Solution
Exploring Operation: 121-86=35, Resulting Numbers: [35]
35,86 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: 86:[86, 41], Operations: ['79-40=39', '2+39=41']
Exploring Operation: 86-41=45, Resulting Numbers: [45]
45,86 unequal: No Solution
Exploring Operation: 86+41=127, Resulting Numbers: [127]
127,86 unequal: No Solution
Exploring Operation: 86*41=3526, Resulting Numbers: [3526]
3526,86 unequal: No Solution
Moving to Node #0,2,3
Current State: 86:[2, 47], Operations: ['79-40=39', '86-39=47']
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,86 unequal: No Solution
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,86 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,86 unequal: No Solution
Moving to Node #0,2,2
Current State: 86:[39, 43], Operations: ['79-40=39', '86/2=43']
Exploring Operation: 43-39=4, Resulting Numbers: [4]
4,86 unequal: No Solution
Exploring Operation: 39+43=82, Resulting Numbers: [82]
82,86 unequal: No Solution
Exploring Operation: 39*43=1677, Resulting Numbers: [1677]
1677,86 unequal: No Solution
Moving to Node #0,1,3
Current State: 86:[42, 7], Operations: ['40+2=42', '86-79=7']
Exploring Operation: 42*7=294, Resulting Numbers: [294]
294,86 unequal: No Solution
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,86 unequal: No Solution
Exploring Operation: 42+7=49, Resulting Numbers: [49]
49,86 unequal: No Solution
Exploring Operation: 42/7=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Moving to Node #0,1,2
Current State: 86:[86, 37], Operations: ['40+2=42', '79-42=37']
Exploring Operation: 86-37=49, Resulting Numbers: [49]
49,86 unequal: No Solution
Exploring Operation: 86+37=123, Resulting Numbers: [123]
123,86 unequal: No Solution
Exploring Operation: 86*37=3182, Resulting Numbers: [3182]
3182,86 unequal: No Solution
Moving to Node #0,2,1
Current State: 86:[39, 88], Operations: ['79-40=39', '86+2=88']
Exploring Operation: 39+88=127, Resulting Numbers: [127]
127,86 unequal: No Solution
Exploring Operation: 88-39=49, Resulting Numbers: [49]
49,86 unequal: No Solution
Exploring Operation: 39*88=3432, Resulting Numbers: [3432]
3432,86 unequal: No Solution
Moving to Node #0,1,1
Current State: 86:[79, 44], Operations: ['40+2=42', '86-42=44']
Exploring Operation: 79-44=35, Resulting Numbers: [35]
35,86 unequal: No Solution
Exploring Operation: 79*44=3476, Resulting Numbers: [3476]
3476,86 unequal: No Solution
Exploring Operation: 79+44=123, Resulting Numbers: [123]
123,86 unequal: No Solution
Moving to Node #0,1,0
Current State: 86:[86, 121], Operations: ['40+2=42', '79+42=121']
Exploring Operation: 121-86=35, Resulting Numbers: [35]
35,86 unequal: No Solution
Exploring Operation: 86*121=10406, Resulting Numbers: [10406]
10406,86 unequal: No Solution
Exploring Operation: 86+121=207, Resulting Numbers: [207]
207,86 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
72,
2,
38,
66
] | 20 | [
"38+66=104",
"104/2=52",
"72-52=20"
] | Current State: 20:[72, 2, 38, 66], Operations: []
Exploring Operation: 38+66=104, Resulting Numbers: [72, 2, 104]
Generated Node #2: [72, 2, 104] from Operation: 38+66=104
Current State: 20:[72, 2, 104], Operations: ['38+66=104']
Exploring Operation: 104/2=52, Resulting Numbers: [72, 52]
Generated Node #3: [72, 52] from Operation: 104/2=52
Current State: 20:[72, 52], Operations: ['38+66=104', '104/2=52']
Exploring Operation: 72-52=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[72, 2, 38, 66], Operations: []
Exploring Operation: 72-66=6, Resulting Numbers: [2, 38, 6]
Generated Node #0,0: 20:[2, 38, 6] Operation: 72-66=6
Moving to Node #0,0
Current State: 20:[2, 38, 6], Operations: ['72-66=6']
Exploring Operation: 38/2=19, Resulting Numbers: [6, 19]
Generated Node #0,0,0: 20:[6, 19] Operation: 38/2=19
Moving to Node #0,0,0
Current State: 20:[6, 19], Operations: ['72-66=6', '38/2=19']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,20 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
90,
69,
67,
22
] | 71 | [
"67-22=45",
"90/45=2",
"69+2=71"
] | Current State: 71:[90, 69, 67, 22], Operations: []
Exploring Operation: 67-22=45, Resulting Numbers: [90, 69, 45]
Generated Node #2: [90, 69, 45] from Operation: 67-22=45
Current State: 71:[90, 69, 45], Operations: ['67-22=45']
Exploring Operation: 90/45=2, Resulting Numbers: [69, 2]
Generated Node #3: [69, 2] from Operation: 90/45=2
Current State: 71:[69, 2], Operations: ['67-22=45', '90/45=2']
Exploring Operation: 69+2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[90, 69, 67, 22], Operations: []
Exploring Operation: 69+22=91, Resulting Numbers: [90, 67, 91]
Generated Node #0,0: 71:[90, 67, 91] Operation: 69+22=91
Exploring Operation: 90-22=68, Resulting Numbers: [69, 67, 68]
Generated Node #0,1: 71:[69, 67, 68] Operation: 90-22=68
Exploring Operation: 67+22=89, Resulting Numbers: [90, 69, 89]
Generated Node #0,2: 71:[90, 69, 89] Operation: 67+22=89
Start Sub Search at level 1: Moving to Node #0,1
Current State: 71:[69, 67, 68], Operations: ['90-22=68']
Exploring Operation: 67+68=135, Resulting Numbers: [69, 135]
Generated Node #0,1,0: 71:[69, 135] Operation: 67+68=135
Exploring Operation: 69+67=136, Resulting Numbers: [68, 136]
Generated Node #0,1,1: 71:[68, 136] Operation: 69+67=136
Exploring Operation: 69+68=137, Resulting Numbers: [67, 137]
Generated Node #0,1,2: 71:[67, 137] Operation: 69+68=137
Moving to Node #0,1,0
Current State: 71:[69, 135], Operations: ['90-22=68', '67+68=135']
Exploring Operation: 135-69=66, Resulting Numbers: [66]
66,71 unequal: No Solution
Exploring Operation: 69+135=204, Resulting Numbers: [204]
204,71 unequal: No Solution
Exploring Operation: 69*135=9315, Resulting Numbers: [9315]
9315,71 unequal: No Solution
Moving to Node #0,1,1
Current State: 71:[68, 136], Operations: ['90-22=68', '69+67=136']
Exploring Operation: 136-68=68, Resulting Numbers: [68]
68,71 unequal: No Solution
Exploring Operation: 136/68=2, Resulting Numbers: [2]
2,71 unequal: No Solution
Exploring Operation: 68+136=204, Resulting Numbers: [204]
204,71 unequal: No Solution
Moving to Node #0,1,2
Current State: 71:[67, 137], Operations: ['90-22=68', '69+68=137']
Exploring Operation: 67*137=9179, Resulting Numbers: [9179]
9179,71 unequal: No Solution
Exploring Operation: 137-67=70, Resulting Numbers: [70]
70,71 unequal: No Solution
Exploring Operation: 67+137=204, Resulting Numbers: [204]
204,71 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 #0,2
Current State: 71:[90, 69, 89], Operations: ['67+22=89']
Exploring Operation: 90-89=1, Resulting Numbers: [69, 1]
Generated Node #0,2,0: 71:[69, 1] Operation: 90-89=1
Exploring Operation: 90-69=21, Resulting Numbers: [89, 21]
Generated Node #0,2,1: 71:[89, 21] Operation: 90-69=21
Exploring Operation: 89-69=20, Resulting Numbers: [90, 20]
Generated Node #0,2,2: 71:[90, 20] Operation: 89-69=20
Moving to Node #0,2,1
Current State: 71:[89, 21], Operations: ['67+22=89', '90-69=21']
Exploring Operation: 89*21=1869, Resulting Numbers: [1869]
1869,71 unequal: No Solution
Exploring Operation: 89-21=68, Resulting Numbers: [68]
68,71 unequal: No Solution
Exploring Operation: 89+21=110, Resulting Numbers: [110]
110,71 unequal: No Solution
Moving to Node #0,2,2
Current State: 71:[90, 20], Operations: ['67+22=89', '89-69=20']
Exploring Operation: 90-20=70, Resulting Numbers: [70]
70,71 unequal: No Solution
Exploring Operation: 90+20=110, Resulting Numbers: [110]
110,71 unequal: No Solution
Exploring Operation: 90*20=1800, Resulting Numbers: [1800]
1800,71 unequal: No Solution
Moving to Node #0,2,0
Current State: 71:[69, 1], Operations: ['67+22=89', '90-89=1']
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,71 unequal: No Solution
Exploring Operation: 69/1=69, Resulting Numbers: [69]
69,71 unequal: No Solution
Exploring Operation: 69+1=70, Resulting Numbers: [70]
70,71 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 #0,0
Current State: 71:[90, 67, 91], Operations: ['69+22=91']
Exploring Operation: 90-67=23, Resulting Numbers: [91, 23]
Generated Node #0,0,0: 71:[91, 23] Operation: 90-67=23
Exploring Operation: 91-67=24, Resulting Numbers: [90, 24]
Generated Node #0,0,1: 71:[90, 24] Operation: 91-67=24
Exploring Operation: 91-90=1, Resulting Numbers: [67, 1]
Generated Node #0,0,2: 71:[67, 1] Operation: 91-90=1
Moving to Node #0,0,1
Current State: 71:[90, 24], Operations: ['69+22=91', '91-67=24']
Exploring Operation: 90-24=66, Resulting Numbers: [66]
66,71 unequal: No Solution
Exploring Operation: 90*24=2160, Resulting Numbers: [2160]
2160,71 unequal: No Solution
Exploring Operation: 90+24=114, Resulting Numbers: [114]
114,71 unequal: No Solution
Moving to Node #0,0,0
Current State: 71:[91, 23], Operations: ['69+22=91', '90-67=23']
Exploring Operation: 91-23=68, Resulting Numbers: [68]
68,71 unequal: No Solution
Exploring Operation: 91*23=2093, Resulting Numbers: [2093]
2093,71 unequal: No Solution
Exploring Operation: 91+23=114, Resulting Numbers: [114]
114,71 unequal: No Solution
Moving to Node #0,0,2
Current State: 71:[67, 1], Operations: ['69+22=91', '91-90=1']
Exploring Operation: 67+1=68, Resulting Numbers: [68]
68,71 unequal: No Solution
Exploring Operation: 67*1=67, Resulting Numbers: [67]
67,71 unequal: No Solution
Exploring Operation: 67/1=67, Resulting Numbers: [67]
67,71 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 |
[
98,
83,
97,
21
] | 91 | [
"98-83=15",
"97-21=76",
"15+76=91"
] | Current State: 91:[98, 83, 97, 21], Operations: []
Exploring Operation: 98-83=15, Resulting Numbers: [97, 21, 15]
Generated Node #2: [97, 21, 15] from Operation: 98-83=15
Current State: 91:[97, 21, 15], Operations: ['98-83=15']
Exploring Operation: 97-21=76, Resulting Numbers: [15, 76]
Generated Node #3: [15, 76] from Operation: 97-21=76
Current State: 91:[15, 76], Operations: ['98-83=15', '97-21=76']
Exploring Operation: 15+76=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[98, 83, 97, 21], Operations: []
Exploring Operation: 98-83=15, Resulting Numbers: [97, 21, 15]
Generated Node #0,0: 91:[97, 21, 15] Operation: 98-83=15
Exploring Operation: 97-83=14, Resulting Numbers: [98, 21, 14]
Generated Node #0,1: 91:[98, 21, 14] Operation: 97-83=14
Exploring Operation: 98-97=1, Resulting Numbers: [83, 21, 1]
Generated Node #0,2: 91:[83, 21, 1] Operation: 98-97=1
Exploring Operation: 83+21=104, Resulting Numbers: [98, 97, 104]
Generated Node #0,3: 91:[98, 97, 104] Operation: 83+21=104
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[97, 21, 15], Operations: ['98-83=15']
Exploring Operation: 97+21=118, Resulting Numbers: [15, 118]
Generated Node #0,0,0: 91:[15, 118] Operation: 97+21=118
Exploring Operation: 97-15=82, Resulting Numbers: [21, 82]
Generated Node #0,0,1: 91:[21, 82] Operation: 97-15=82
Exploring Operation: 21-15=6, Resulting Numbers: [97, 6]
Generated Node #0,0,2: 91:[97, 6] Operation: 21-15=6
Exploring Operation: 97-21=76, Resulting Numbers: [15, 76]
Generated Node #0,0,3: 91:[15, 76] Operation: 97-21=76
Moving to Node #0,0,2
Current State: 91:[97, 6], Operations: ['98-83=15', '21-15=6']
Exploring Operation: 97+6=103, Resulting Numbers: [103]
103,91 unequal: No Solution
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[98, 83, 97, 21], Operations: []
Exploring Operation: 98-83=15, Resulting Numbers: [97, 21, 15]
Generated Node #0,0: 91:[97, 21, 15] Operation: 98-83=15
Moving to Node #0,0
Current State: 91:[97, 21, 15], Operations: ['98-83=15']
Exploring Operation: 21-15=6, Resulting Numbers: [97, 6]
Generated Node #0,0,2: 91:[97, 6] Operation: 21-15=6
Moving to Node #0,0,2
Current State: 91:[97, 6], Operations: ['98-83=15', '21-15=6']
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
74,
71,
37,
36
] | 77 | [
"71+37=108",
"108/36=3",
"74+3=77"
] | Current State: 77:[74, 71, 37, 36], Operations: []
Exploring Operation: 71+37=108, Resulting Numbers: [74, 36, 108]
Generated Node #2: [74, 36, 108] from Operation: 71+37=108
Current State: 77:[74, 36, 108], Operations: ['71+37=108']
Exploring Operation: 108/36=3, Resulting Numbers: [74, 3]
Generated Node #3: [74, 3] from Operation: 108/36=3
Current State: 77:[74, 3], Operations: ['71+37=108', '108/36=3']
Exploring Operation: 74+3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[74, 71, 37, 36], Operations: []
Exploring Operation: 71-37=34, Resulting Numbers: [74, 36, 34]
Generated Node #0,0: 77:[74, 36, 34] Operation: 71-37=34
Exploring Operation: 74/37=2, Resulting Numbers: [71, 36, 2]
Generated Node #0,1: 77:[71, 36, 2] Operation: 74/37=2
Exploring Operation: 37-36=1, Resulting Numbers: [74, 71, 1]
Generated Node #0,2: 77:[74, 71, 1] Operation: 37-36=1
Exploring Operation: 37+36=73, Resulting Numbers: [74, 71, 73]
Generated Node #0,3: 77:[74, 71, 73] Operation: 37+36=73
Start Sub Search at level 1: Moving to Node #0,3
Current State: 77:[74, 71, 73], Operations: ['37+36=73']
Exploring Operation: 73-71=2, Resulting Numbers: [74, 2]
Generated Node #0,3,0: 77:[74, 2] Operation: 73-71=2
Exploring Operation: 71+73=144, Resulting Numbers: [74, 144]
Generated Node #0,3,1: 77:[74, 144] Operation: 71+73=144
Exploring Operation: 74-73=1, Resulting Numbers: [71, 1]
Generated Node #0,3,2: 77:[71, 1] Operation: 74-73=1
Exploring Operation: 74-71=3, Resulting Numbers: [73, 3]
Generated Node #0,3,3: 77:[73, 3] Operation: 74-71=3
Moving to Node #0,3,0
Current State: 77:[74, 2], Operations: ['37+36=73', '73-71=2']
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,77 unequal: No Solution
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,77 unequal: No Solution
Exploring Operation: 74*2=148, Resulting Numbers: [148]
148,77 unequal: No Solution
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,77 unequal: No Solution
Moving to Node #0,3,3
Current State: 77:[73, 3], Operations: ['37+36=73', '74-71=3']
Exploring Operation: 73+3=76, Resulting Numbers: [76]
76,77 unequal: No Solution
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,77 unequal: No Solution
Exploring Operation: 73*3=219, Resulting Numbers: [219]
219,77 unequal: No Solution
Moving to Node #0,3,2
Current State: 77:[71, 1], Operations: ['37+36=73', '74-73=1']
Exploring Operation: 71+1=72, Resulting Numbers: [72]
72,77 unequal: No Solution
Exploring Operation: 71*1=71, Resulting Numbers: [71]
71,77 unequal: No Solution
Exploring Operation: 71/1=71, Resulting Numbers: [71]
71,77 unequal: No Solution
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,77 unequal: No Solution
Moving to Node #0,3,1
Current State: 77:[74, 144], Operations: ['37+36=73', '71+73=144']
Exploring Operation: 144-74=70, Resulting Numbers: [70]
70,77 unequal: No Solution
Exploring Operation: 74*144=10656, Resulting Numbers: [10656]
10656,77 unequal: No Solution
Exploring Operation: 74+144=218, Resulting Numbers: [218]
218,77 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: 77:[74, 71, 1], Operations: ['37-36=1']
Exploring Operation: 74*1=74, Resulting Numbers: [71, 74]
Generated Node #0,2,0: 77:[71, 74] Operation: 74*1=74
Exploring Operation: 74/1=74, Resulting Numbers: [71, 74]
Generated Node #0,2,1: 77:[71, 74] Operation: 74/1=74
Exploring Operation: 71+1=72, Resulting Numbers: [74, 72]
Generated Node #0,2,2: 77:[74, 72] Operation: 71+1=72
Exploring Operation: 74+1=75, Resulting Numbers: [71, 75]
Generated Node #0,2,3: 77:[71, 75] Operation: 74+1=75
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 77:[74, 72], Operations: ['37-36=1', '71+1=72']
Exploring Operation: 74*72=5328, Resulting Numbers: [5328]
5328,77 unequal: No Solution
Exploring Operation: 74-72=2, Resulting Numbers: [2]
2,77 unequal: No Solution
Exploring Operation: 74+72=146, Resulting Numbers: [146]
146,77 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: 77:[71, 75], Operations: ['37-36=1', '74+1=75']
Exploring Operation: 71*75=5325, Resulting Numbers: [5325]
5325,77 unequal: No Solution
Exploring Operation: 71+75=146, Resulting Numbers: [146]
146,77 unequal: No Solution
Exploring Operation: 75-71=4, Resulting Numbers: [4]
4,77 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: 77:[71, 74], Operations: ['37-36=1', '74*1=74']
Exploring Operation: 71+74=145, Resulting Numbers: [145]
145,77 unequal: No Solution
Exploring Operation: 74-71=3, Resulting Numbers: [3]
3,77 unequal: No Solution
Exploring Operation: 71*74=5254, Resulting Numbers: [5254]
5254,77 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: 77:[71, 74], Operations: ['37-36=1', '74/1=74']
Exploring Operation: 71+74=145, Resulting Numbers: [145]
145,77 unequal: No Solution
Exploring Operation: 74-71=3, Resulting Numbers: [3]
3,77 unequal: No Solution
Exploring Operation: 71*74=5254, Resulting Numbers: [5254]
5254,77 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: 77:[71, 36, 2], Operations: ['74/37=2']
Exploring Operation: 36*2=72, Resulting Numbers: [71, 72]
Generated Node #0,1,0: 77:[71, 72] Operation: 36*2=72
Exploring Operation: 71+2=73, Resulting Numbers: [36, 73]
Generated Node #0,1,1: 77:[36, 73] Operation: 71+2=73
Exploring Operation: 71-36=35, Resulting Numbers: [2, 35]
Generated Node #0,1,2: 77:[2, 35] Operation: 71-36=35
Exploring Operation: 36/2=18, Resulting Numbers: [71, 18]
Generated Node #0,1,3: 77:[71, 18] Operation: 36/2=18
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 77:[71, 72], Operations: ['74/37=2', '36*2=72']
Exploring Operation: 71*72=5112, Resulting Numbers: [5112]
5112,77 unequal: No Solution
Exploring Operation: 72-71=1, Resulting Numbers: [1]
1,77 unequal: No Solution
Exploring Operation: 71+72=143, Resulting Numbers: [143]
143,77 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: 77:[71, 18], Operations: ['74/37=2', '36/2=18']
Exploring Operation: 71*18=1278, Resulting Numbers: [1278]
1278,77 unequal: No Solution
Exploring Operation: 71+18=89, Resulting Numbers: [89]
89,77 unequal: No Solution
Exploring Operation: 71-18=53, Resulting Numbers: [53]
53,77 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: 77:[36, 73], Operations: ['74/37=2', '71+2=73']
Exploring Operation: 36*73=2628, Resulting Numbers: [2628]
2628,77 unequal: No Solution
Exploring Operation: 73-36=37, Resulting Numbers: [37]
37,77 unequal: No Solution
Exploring Operation: 36+73=109, Resulting Numbers: [109]
109,77 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: 77:[2, 35], Operations: ['74/37=2', '71-36=35']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,77 unequal: No Solution
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,77 unequal: No Solution
Exploring Operation: 2+35=37, Resulting Numbers: [37]
37,77 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: 77:[74, 36, 34], Operations: ['71-37=34']
Exploring Operation: 36+34=70, Resulting Numbers: [74, 70]
Generated Node #0,0,0: 77:[74, 70] Operation: 36+34=70
Exploring Operation: 74-34=40, Resulting Numbers: [36, 40]
Generated Node #0,0,1: 77:[36, 40] Operation: 74-34=40
Exploring Operation: 74-36=38, Resulting Numbers: [34, 38]
Generated Node #0,0,2: 77:[34, 38] Operation: 74-36=38
Exploring Operation: 36-34=2, Resulting Numbers: [74, 2]
Generated Node #0,0,3: 77:[74, 2] Operation: 36-34=2
Moving to Node #0,0,3
Current State: 77:[74, 2], Operations: ['71-37=34', '36-34=2']
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,77 unequal: No Solution
Exploring Operation: 74*2=148, Resulting Numbers: [148]
148,77 unequal: No Solution
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,77 unequal: No Solution
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,77 unequal: No Solution
Moving to Node #0,0,0
Current State: 77:[74, 70], Operations: ['71-37=34', '36+34=70']
Exploring Operation: 74+70=144, Resulting Numbers: [144]
144,77 unequal: No Solution
Exploring Operation: 74*70=5180, Resulting Numbers: [5180]
5180,77 unequal: No Solution
Exploring Operation: 74-70=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Moving to Node #0,0,2
Current State: 77:[34, 38], Operations: ['71-37=34', '74-36=38']
Exploring Operation: 34+38=72, Resulting Numbers: [72]
72,77 unequal: No Solution
Exploring Operation: 34*38=1292, Resulting Numbers: [1292]
1292,77 unequal: No Solution
Exploring Operation: 38-34=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Moving to Node #0,0,1
Current State: 77:[36, 40], Operations: ['71-37=34', '74-34=40']
Exploring Operation: 36*40=1440, Resulting Numbers: [1440]
1440,77 unequal: No Solution
Exploring Operation: 40-36=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 36+40=76, Resulting Numbers: [76]
76,77 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 |
[
85,
8,
24,
6
] | 89 | [
"85+8=93",
"24/6=4",
"93-4=89"
] | Current State: 89:[85, 8, 24, 6], Operations: []
Exploring Operation: 85+8=93, Resulting Numbers: [24, 6, 93]
Generated Node #2: [24, 6, 93] from Operation: 85+8=93
Current State: 89:[24, 6, 93], Operations: ['85+8=93']
Exploring Operation: 24/6=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 24/6=4
Current State: 89:[93, 4], Operations: ['85+8=93', '24/6=4']
Exploring Operation: 93-4=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[85, 8, 24, 6], Operations: []
Exploring Operation: 8*6=48, Resulting Numbers: [85, 24, 48]
Generated Node #0,0: 89:[85, 24, 48] Operation: 8*6=48
Exploring Operation: 24*6=144, Resulting Numbers: [85, 8, 144]
Generated Node #0,1: 89:[85, 8, 144] Operation: 24*6=144
Exploring Operation: 8+6=14, Resulting Numbers: [85, 24, 14]
Generated Node #0,2: 89:[85, 24, 14] Operation: 8+6=14
Exploring Operation: 8+24=32, Resulting Numbers: [85, 6, 32]
Generated Node #0,3: 89:[85, 6, 32] Operation: 8+24=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[85, 24, 48], Operations: ['8*6=48']
Exploring Operation: 85-24=61, Resulting Numbers: [48, 61]
Generated Node #0,0,0: 89:[48, 61] Operation: 85-24=61
Exploring Operation: 48-24=24, Resulting Numbers: [85, 24]
Generated Node #0,0,1: 89:[85, 24] Operation: 48-24=24
Exploring Operation: 24+48=72, Resulting Numbers: [85, 72]
Generated Node #0,0,2: 89:[85, 72] Operation: 24+48=72
Exploring Operation: 85+24=109, Resulting Numbers: [48, 109]
Generated Node #0,0,3: 89:[48, 109] Operation: 85+24=109
Moving to Node #0,0,2
Current State: 89:[85, 72], Operations: ['8*6=48', '24+48=72']
Exploring Operation: 85-72=13, Resulting Numbers: [13]
13,89 unequal: No Solution
Exploring Operation: 85+72=157, Resulting Numbers: [157]
157,89 unequal: No Solution
Exploring Operation: 85*72=6120, Resulting Numbers: [6120]
6120,89 unequal: No Solution
Moving to Node #0,0,3
Current State: 89:[48, 109], Operations: ['8*6=48', '85+24=109']
Exploring Operation: 48+109=157, Resulting Numbers: [157]
157,89 unequal: No Solution
Exploring Operation: 109-48=61, Resulting Numbers: [61]
61,89 unequal: No Solution
Exploring Operation: 48*109=5232, Resulting Numbers: [5232]
5232,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[85, 24], Operations: ['8*6=48', '48-24=24']
Exploring Operation: 85-24=61, Resulting Numbers: [61]
61,89 unequal: No Solution
Exploring Operation: 85+24=109, Resulting Numbers: [109]
109,89 unequal: No Solution
Exploring Operation: 85*24=2040, Resulting Numbers: [2040]
2040,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[48, 61], Operations: ['8*6=48', '85-24=61']
Exploring Operation: 61-48=13, Resulting Numbers: [13]
13,89 unequal: No Solution
Exploring Operation: 48+61=109, Resulting Numbers: [109]
109,89 unequal: No Solution
Exploring Operation: 48*61=2928, Resulting Numbers: [2928]
2928,89 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
Current State: 89:[85, 8, 144], Operations: ['24*6=144']
Exploring Operation: 144-8=136, Resulting Numbers: [85, 136]
Generated Node #0,1,0: 89:[85, 136] Operation: 144-8=136
Exploring Operation: 85+8=93, Resulting Numbers: [144, 93]
Generated Node #0,1,1: 89:[144, 93] Operation: 85+8=93
Exploring Operation: 8+144=152, Resulting Numbers: [85, 152]
Generated Node #0,1,2: 89:[85, 152] Operation: 8+144=152
Exploring Operation: 85-8=77, Resulting Numbers: [144, 77]
Generated Node #0,1,3: 89:[144, 77] Operation: 85-8=77
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 89:[85, 136], Operations: ['24*6=144', '144-8=136']
Exploring Operation: 85*136=11560, Resulting Numbers: [11560]
11560,89 unequal: No Solution
Exploring Operation: 136-85=51, Resulting Numbers: [51]
51,89 unequal: No Solution
Exploring Operation: 85+136=221, Resulting Numbers: [221]
221,89 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 #0,1,1
Current State: 89:[144, 93], Operations: ['24*6=144', '85+8=93']
Exploring Operation: 144+93=237, Resulting Numbers: [237]
237,89 unequal: No Solution
Exploring Operation: 144*93=13392, Resulting Numbers: [13392]
13392,89 unequal: No Solution
Exploring Operation: 144-93=51, Resulting Numbers: [51]
51,89 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 #0,1,2
Current State: 89:[85, 152], Operations: ['24*6=144', '8+144=152']
Exploring Operation: 152-85=67, Resulting Numbers: [67]
67,89 unequal: No Solution
Exploring Operation: 85+152=237, Resulting Numbers: [237]
237,89 unequal: No Solution
Exploring Operation: 85*152=12920, Resulting Numbers: [12920]
12920,89 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 #0,1,3
Current State: 89:[144, 77], Operations: ['24*6=144', '85-8=77']
Exploring Operation: 144*77=11088, Resulting Numbers: [11088]
11088,89 unequal: No Solution
Exploring Operation: 144+77=221, Resulting Numbers: [221]
221,89 unequal: No Solution
Exploring Operation: 144-77=67, Resulting Numbers: [67]
67,89 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 #0,2
Current State: 89:[85, 24, 14], Operations: ['8+6=14']
Exploring Operation: 85-14=71, Resulting Numbers: [24, 71]
Generated Node #0,2,0: 89:[24, 71] Operation: 85-14=71
Exploring Operation: 85+14=99, Resulting Numbers: [24, 99]
Generated Node #0,2,1: 89:[24, 99] Operation: 85+14=99
Exploring Operation: 24+14=38, Resulting Numbers: [85, 38]
Generated Node #0,2,2: 89:[85, 38] Operation: 24+14=38
Exploring Operation: 24-14=10, Resulting Numbers: [85, 10]
Generated Node #0,2,3: 89:[85, 10] Operation: 24-14=10
Moving to Node #0,2,2
Current State: 89:[85, 38], Operations: ['8+6=14', '24+14=38']
Exploring Operation: 85-38=47, Resulting Numbers: [47]
47,89 unequal: No Solution
Exploring Operation: 85*38=3230, Resulting Numbers: [3230]
3230,89 unequal: No Solution
Exploring Operation: 85+38=123, Resulting Numbers: [123]
123,89 unequal: No Solution
Moving to Node #0,2,1
Current State: 89:[24, 99], Operations: ['8+6=14', '85+14=99']
Exploring Operation: 24*99=2376, Resulting Numbers: [2376]
2376,89 unequal: No Solution
Exploring Operation: 24+99=123, Resulting Numbers: [123]
123,89 unequal: No Solution
Exploring Operation: 99-24=75, Resulting Numbers: [75]
75,89 unequal: No Solution
Moving to Node #0,2,3
Current State: 89:[85, 10], Operations: ['8+6=14', '24-14=10']
Exploring Operation: 85-10=75, Resulting Numbers: [75]
75,89 unequal: No Solution
Exploring Operation: 85+10=95, Resulting Numbers: [95]
95,89 unequal: No Solution
Exploring Operation: 85*10=850, Resulting Numbers: [850]
850,89 unequal: No Solution
Moving to Node #0,2,0
Current State: 89:[24, 71], Operations: ['8+6=14', '85-14=71']
Exploring Operation: 24*71=1704, Resulting Numbers: [1704]
1704,89 unequal: No Solution
Exploring Operation: 24+71=95, Resulting Numbers: [95]
95,89 unequal: No Solution
Exploring Operation: 71-24=47, Resulting Numbers: [47]
47,89 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
Current State: 89:[85, 6, 32], Operations: ['8+24=32']
Exploring Operation: 85+6=91, Resulting Numbers: [32, 91]
Generated Node #0,3,0: 89:[32, 91] Operation: 85+6=91
Exploring Operation: 32-6=26, Resulting Numbers: [85, 26]
Generated Node #0,3,1: 89:[85, 26] Operation: 32-6=26
Exploring Operation: 6+32=38, Resulting Numbers: [85, 38]
Generated Node #0,3,2: 89:[85, 38] Operation: 6+32=38
Exploring Operation: 85-6=79, Resulting Numbers: [32, 79]
Generated Node #0,3,3: 89:[32, 79] Operation: 85-6=79
Moving to Node #0,3,2
Current State: 89:[85, 38], Operations: ['8+24=32', '6+32=38']
Exploring Operation: 85*38=3230, Resulting Numbers: [3230]
3230,89 unequal: No Solution
Exploring Operation: 85-38=47, Resulting Numbers: [47]
47,89 unequal: No Solution
Exploring Operation: 85+38=123, Resulting Numbers: [123]
123,89 unequal: No Solution
Moving to Node #0,3,0
Current State: 89:[32, 91], Operations: ['8+24=32', '85+6=91']
Exploring Operation: 32*91=2912, Resulting Numbers: [2912]
2912,89 unequal: No Solution
Exploring Operation: 91-32=59, Resulting Numbers: [59]
59,89 unequal: No Solution
Exploring Operation: 32+91=123, Resulting Numbers: [123]
123,89 unequal: No Solution
Moving to Node #0,3,3
Current State: 89:[32, 79], Operations: ['8+24=32', '85-6=79']
Exploring Operation: 32*79=2528, Resulting Numbers: [2528]
2528,89 unequal: No Solution
Exploring Operation: 32+79=111, Resulting Numbers: [111]
111,89 unequal: No Solution
Exploring Operation: 79-32=47, Resulting Numbers: [47]
47,89 unequal: No Solution
Moving to Node #0,3,1
Current State: 89:[85, 26], Operations: ['8+24=32', '32-6=26']
Exploring Operation: 85*26=2210, Resulting Numbers: [2210]
2210,89 unequal: No Solution
Exploring Operation: 85+26=111, Resulting Numbers: [111]
111,89 unequal: No Solution
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
32,
50,
74,
8
] | 28 | [
"32/8=4",
"74-50=24",
"4+24=28"
] | Current State: 28:[32, 50, 74, 8], Operations: []
Exploring Operation: 32/8=4, Resulting Numbers: [50, 74, 4]
Generated Node #2: [50, 74, 4] from Operation: 32/8=4
Current State: 28:[50, 74, 4], Operations: ['32/8=4']
Exploring Operation: 74-50=24, Resulting Numbers: [4, 24]
Generated Node #3: [4, 24] from Operation: 74-50=24
Current State: 28:[4, 24], Operations: ['32/8=4', '74-50=24']
Exploring Operation: 4+24=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[32, 50, 74, 8], Operations: []
Exploring Operation: 50-32=18, Resulting Numbers: [74, 8, 18]
Generated Node #0,0: 28:[74, 8, 18] Operation: 50-32=18
Exploring Operation: 74-32=42, Resulting Numbers: [50, 8, 42]
Generated Node #0,1: 28:[50, 8, 42] Operation: 74-32=42
Exploring Operation: 74-50=24, Resulting Numbers: [32, 8, 24]
Generated Node #0,2: 28:[32, 8, 24] Operation: 74-50=24
Start Sub Search at level 1: Moving to Node #0,2
Current State: 28:[32, 8, 24], Operations: ['74-50=24']
Exploring Operation: 32-24=8, Resulting Numbers: [8, 8]
Generated Node #0,2,0: 28:[8, 8] Operation: 32-24=8
Exploring Operation: 32/8=4, Resulting Numbers: [24, 4]
Generated Node #0,2,1: 28:[24, 4] Operation: 32/8=4
Exploring Operation: 24/8=3, Resulting Numbers: [32, 3]
Generated Node #0,2,2: 28:[32, 3] Operation: 24/8=3
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 28:[8, 8], Operations: ['74-50=24', '32-24=8']
Exploring Operation: 8-8=0, Resulting Numbers: [0]
0,28 unequal: No Solution
Exploring Operation: 8/8=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 8+8=16, Resulting Numbers: [16]
16,28 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: 28:[24, 4], Operations: ['74-50=24', '32/8=4']
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[32, 50, 74, 8], Operations: []
Exploring Operation: 74-50=24, Resulting Numbers: [32, 8, 24]
Generated Node #0,2: 28:[32, 8, 24] Operation: 74-50=24
Moving to Node #0,2
Current State: 28:[32, 8, 24], Operations: ['74-50=24']
Exploring Operation: 32/8=4, Resulting Numbers: [24, 4]
Generated Node #0,2,1: 28:[24, 4] Operation: 32/8=4
Moving to Node #0,2,1
Current State: 28:[24, 4], Operations: ['74-50=24', '32/8=4']
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
34,
49,
93,
81
] | 91 | [
"34+49=83",
"93+81=174",
"174-83=91"
] | Current State: 91:[34, 49, 93, 81], Operations: []
Exploring Operation: 34+49=83, Resulting Numbers: [93, 81, 83]
Generated Node #2: [93, 81, 83] from Operation: 34+49=83
Current State: 91:[93, 81, 83], Operations: ['34+49=83']
Exploring Operation: 93+81=174, Resulting Numbers: [83, 174]
Generated Node #3: [83, 174] from Operation: 93+81=174
Current State: 91:[83, 174], Operations: ['34+49=83', '93+81=174']
Exploring Operation: 174-83=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[34, 49, 93, 81], Operations: []
Exploring Operation: 49-34=15, Resulting Numbers: [93, 81, 15]
Generated Node #0,0: 91:[93, 81, 15] Operation: 49-34=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[93, 81, 15], Operations: ['49-34=15']
Exploring Operation: 93-81=12, Resulting Numbers: [15, 12]
Generated Node #0,0,0: 91:[15, 12] Operation: 93-81=12
Moving to Node #0,0,0
Current State: 91:[15, 12], Operations: ['49-34=15', '93-81=12']
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,91 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 |
[
75,
29,
74,
80
] | 98 | [
"75+29=104",
"80-74=6",
"104-6=98"
] | Current State: 98:[75, 29, 74, 80], Operations: []
Exploring Operation: 75+29=104, Resulting Numbers: [74, 80, 104]
Generated Node #2: [74, 80, 104] from Operation: 75+29=104
Current State: 98:[74, 80, 104], Operations: ['75+29=104']
Exploring Operation: 80-74=6, Resulting Numbers: [104, 6]
Generated Node #3: [104, 6] from Operation: 80-74=6
Current State: 98:[104, 6], Operations: ['75+29=104', '80-74=6']
Exploring Operation: 104-6=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[75, 29, 74, 80], Operations: []
Exploring Operation: 80-75=5, Resulting Numbers: [29, 74, 5]
Generated Node #0,0: 98:[29, 74, 5] Operation: 80-75=5
Exploring Operation: 80-74=6, Resulting Numbers: [75, 29, 6]
Generated Node #0,1: 98:[75, 29, 6] Operation: 80-74=6
Exploring Operation: 74-29=45, Resulting Numbers: [75, 80, 45]
Generated Node #0,2: 98:[75, 80, 45] Operation: 74-29=45
Exploring Operation: 75-74=1, Resulting Numbers: [29, 80, 1]
Generated Node #0,3: 98:[29, 80, 1] Operation: 75-74=1
Exploring Operation: 75-29=46, Resulting Numbers: [74, 80, 46]
Generated Node #0,4: 98:[74, 80, 46] Operation: 75-29=46
Moving to Node #0,3
Current State: 98:[29, 80, 1], Operations: ['75-74=1']
Exploring Operation: 29*1=29, Resulting Numbers: [80, 29]
Generated Node #0,3,0: 98:[80, 29] Operation: 29*1=29
Exploring Operation: 80-29=51, Resulting Numbers: [1, 51]
Generated Node #0,3,1: 98:[1, 51] Operation: 80-29=51
Exploring Operation: 29+80=109, Resulting Numbers: [1, 109]
Generated Node #0,3,2: 98:[1, 109] Operation: 29+80=109
Exploring Operation: 80+1=81, Resulting Numbers: [29, 81]
Generated Node #0,3,3: 98:[29, 81] Operation: 80+1=81
Exploring Operation: 29-1=28, Resulting Numbers: [80, 28]
Generated Node #0,3,4: 98:[80, 28] Operation: 29-1=28
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 98:[1, 51], Operations: ['75-74=1', '80-29=51']
Exploring Operation: 51/1=51, Resulting Numbers: [51]
51,98 unequal: No Solution
Exploring Operation: 1+51=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,98 unequal: No Solution
Exploring Operation: 1*51=51, Resulting Numbers: [51]
51,98 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 #0,3,2
Current State: 98:[1, 109], Operations: ['75-74=1', '29+80=109']
Exploring Operation: 109-1=108, Resulting Numbers: [108]
108,98 unequal: No Solution
Exploring Operation: 1*109=109, Resulting Numbers: [109]
109,98 unequal: No Solution
Exploring Operation: 1+109=110, Resulting Numbers: [110]
110,98 unequal: No Solution
Exploring Operation: 109/1=109, Resulting Numbers: [109]
109,98 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 #0,3,3
Current State: 98:[29, 81], Operations: ['75-74=1', '80+1=81']
Exploring Operation: 81-29=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Exploring Operation: 29+81=110, Resulting Numbers: [110]
110,98 unequal: No Solution
Exploring Operation: 29*81=2349, Resulting Numbers: [2349]
2349,98 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 #0,3,4
Current State: 98:[80, 28], Operations: ['75-74=1', '29-1=28']
Exploring Operation: 80-28=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Exploring Operation: 80*28=2240, Resulting Numbers: [2240]
2240,98 unequal: No Solution
Exploring Operation: 80+28=108, Resulting Numbers: [108]
108,98 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 #0,3,0
Current State: 98:[80, 29], Operations: ['75-74=1', '29*1=29']
Exploring Operation: 80*29=2320, Resulting Numbers: [2320]
2320,98 unequal: No Solution
Exploring Operation: 80-29=51, Resulting Numbers: [51]
51,98 unequal: No Solution
Exploring Operation: 80+29=109, Resulting Numbers: [109]
109,98 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: 98:[75, 29, 6], Operations: ['80-74=6']
Exploring Operation: 75+29=104, Resulting Numbers: [6, 104]
Generated Node #0,1,0: 98:[6, 104] Operation: 75+29=104
Exploring Operation: 75-29=46, Resulting Numbers: [6, 46]
Generated Node #0,1,1: 98:[6, 46] Operation: 75-29=46
Exploring Operation: 75+6=81, Resulting Numbers: [29, 81]
Generated Node #0,1,2: 98:[29, 81] Operation: 75+6=81
Exploring Operation: 29-6=23, Resulting Numbers: [75, 23]
Generated Node #0,1,3: 98:[75, 23] Operation: 29-6=23
Exploring Operation: 75-6=69, Resulting Numbers: [29, 69]
Generated Node #0,1,4: 98:[29, 69] Operation: 75-6=69
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 98:[6, 46], Operations: ['80-74=6', '75-29=46']
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,98 unequal: No Solution
Exploring Operation: 6*46=276, Resulting Numbers: [276]
276,98 unequal: No Solution
Exploring Operation: 6+46=52, Resulting Numbers: [52]
52,98 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 #0,1,0
Current State: 98:[6, 104], Operations: ['80-74=6', '75+29=104']
Exploring Operation: 6*104=624, Resulting Numbers: [624]
624,98 unequal: No Solution
Exploring Operation: 6+104=110, Resulting Numbers: [110]
110,98 unequal: No Solution
Exploring Operation: 104-6=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[75, 29, 74, 80], Operations: []
Exploring Operation: 80-74=6, Resulting Numbers: [75, 29, 6]
Generated Node #0,1: 98:[75, 29, 6] Operation: 80-74=6
Moving to Node #0,1
Current State: 98:[75, 29, 6], Operations: ['80-74=6']
Exploring Operation: 75+29=104, Resulting Numbers: [6, 104]
Generated Node #0,1,0: 98:[6, 104] Operation: 75+29=104
Moving to Node #0,1,0
Current State: 98:[6, 104], Operations: ['80-74=6', '75+29=104']
Exploring Operation: 104-6=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_5 | mult_heuristic |
[
7,
54,
93,
9
] | 84 | [
"7*9=63",
"54+93=147",
"147-63=84"
] | Current State: 84:[7, 54, 93, 9], Operations: []
Exploring Operation: 7*9=63, Resulting Numbers: [54, 93, 63]
Generated Node #2: [54, 93, 63] from Operation: 7*9=63
Current State: 84:[54, 93, 63], Operations: ['7*9=63']
Exploring Operation: 54+93=147, Resulting Numbers: [63, 147]
Generated Node #3: [63, 147] from Operation: 54+93=147
Current State: 84:[63, 147], Operations: ['7*9=63', '54+93=147']
Exploring Operation: 147-63=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[7, 54, 93, 9], Operations: []
Exploring Operation: 54/9=6, Resulting Numbers: [7, 93, 6]
Generated Node #0,0: 84:[7, 93, 6] Operation: 54/9=6
Exploring Operation: 93-54=39, Resulting Numbers: [7, 9, 39]
Generated Node #0,1: 84:[7, 9, 39] Operation: 93-54=39
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[7, 9, 39], Operations: ['93-54=39']
Exploring Operation: 9-7=2, Resulting Numbers: [39, 2]
Generated Node #0,1,0: 84:[39, 2] Operation: 9-7=2
Exploring Operation: 39-9=30, Resulting Numbers: [7, 30]
Generated Node #0,1,1: 84:[7, 30] Operation: 39-9=30
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 84:[7, 30], Operations: ['93-54=39', '39-9=30']
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,84 unequal: No Solution
Exploring Operation: 7+30=37, Resulting Numbers: [37]
37,84 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: 84:[39, 2], Operations: ['93-54=39', '9-7=2']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,84 unequal: No Solution
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,84 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: 84:[7, 93, 6], Operations: ['54/9=6']
Exploring Operation: 93-6=87, Resulting Numbers: [7, 87]
Generated Node #0,0,0: 84:[7, 87] Operation: 93-6=87
Exploring Operation: 93-7=86, Resulting Numbers: [6, 86]
Generated Node #0,0,1: 84:[6, 86] Operation: 93-7=86
Moving to Node #0,0,1
Current State: 84:[6, 86], Operations: ['54/9=6', '93-7=86']
Exploring Operation: 86-6=80, Resulting Numbers: [80]
80,84 unequal: No Solution
Exploring Operation: 6+86=92, Resulting Numbers: [92]
92,84 unequal: No Solution
Moving to Node #0,0,0
Current State: 84:[7, 87], Operations: ['54/9=6', '93-6=87']
Exploring Operation: 87-7=80, Resulting Numbers: [80]
80,84 unequal: No Solution
Exploring Operation: 7+87=94, Resulting Numbers: [94]
94,84 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 |
[
32,
39,
63,
26
] | 34 | [
"32+39=71",
"63-26=37",
"71-37=34"
] | Current State: 34:[32, 39, 63, 26], Operations: []
Exploring Operation: 32+39=71, Resulting Numbers: [63, 26, 71]
Generated Node #2: [63, 26, 71] from Operation: 32+39=71
Current State: 34:[63, 26, 71], Operations: ['32+39=71']
Exploring Operation: 63-26=37, Resulting Numbers: [71, 37]
Generated Node #3: [71, 37] from Operation: 63-26=37
Current State: 34:[71, 37], Operations: ['32+39=71', '63-26=37']
Exploring Operation: 71-37=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[32, 39, 63, 26], Operations: []
Exploring Operation: 63-32=31, Resulting Numbers: [39, 26, 31]
Generated Node #0,0: 34:[39, 26, 31] Operation: 63-32=31
Exploring Operation: 39-26=13, Resulting Numbers: [32, 63, 13]
Generated Node #0,1: 34:[32, 63, 13] Operation: 39-26=13
Exploring Operation: 63-39=24, Resulting Numbers: [32, 26, 24]
Generated Node #0,2: 34:[32, 26, 24] Operation: 63-39=24
Exploring Operation: 63-26=37, Resulting Numbers: [32, 39, 37]
Generated Node #0,3: 34:[32, 39, 37] Operation: 63-26=37
Start Sub Search at level 1: Moving to Node #0,3
Current State: 34:[32, 39, 37], Operations: ['63-26=37']
Exploring Operation: 37-32=5, Resulting Numbers: [39, 5]
Generated Node #0,3,0: 34:[39, 5] Operation: 37-32=5
Exploring Operation: 39-32=7, Resulting Numbers: [37, 7]
Generated Node #0,3,1: 34:[37, 7] Operation: 39-32=7
Exploring Operation: 32+39=71, Resulting Numbers: [37, 71]
Generated Node #0,3,2: 34:[37, 71] Operation: 32+39=71
Exploring Operation: 39-37=2, Resulting Numbers: [32, 2]
Generated Node #0,3,3: 34:[32, 2] Operation: 39-37=2
Moving to Node #0,3,3
Current State: 34:[32, 2], Operations: ['63-26=37', '39-37=2']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[32, 39, 63, 26], Operations: []
Exploring Operation: 63-26=37, Resulting Numbers: [32, 39, 37]
Generated Node #0,3: 34:[32, 39, 37] Operation: 63-26=37
Moving to Node #0,3
Current State: 34:[32, 39, 37], Operations: ['63-26=37']
Exploring Operation: 39-37=2, Resulting Numbers: [32, 2]
Generated Node #0,3,3: 34:[32, 2] Operation: 39-37=2
Moving to Node #0,3,3
Current State: 34:[32, 2], Operations: ['63-26=37', '39-37=2']
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
43,
24,
56,
28
] | 65 | [
"43+24=67",
"56/28=2",
"67-2=65"
] | Current State: 65:[43, 24, 56, 28], Operations: []
Exploring Operation: 43+24=67, Resulting Numbers: [56, 28, 67]
Generated Node #2: [56, 28, 67] from Operation: 43+24=67
Current State: 65:[56, 28, 67], Operations: ['43+24=67']
Exploring Operation: 56/28=2, Resulting Numbers: [67, 2]
Generated Node #3: [67, 2] from Operation: 56/28=2
Current State: 65:[67, 2], Operations: ['43+24=67', '56/28=2']
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[43, 24, 56, 28], Operations: []
Exploring Operation: 56-43=13, Resulting Numbers: [24, 28, 13]
Generated Node #0,0: 65:[24, 28, 13] Operation: 56-43=13
Exploring Operation: 43-28=15, Resulting Numbers: [24, 56, 15]
Generated Node #0,1: 65:[24, 56, 15] Operation: 43-28=15
Exploring Operation: 43+24=67, Resulting Numbers: [56, 28, 67]
Generated Node #0,2: 65:[56, 28, 67] Operation: 43+24=67
Moving to Node #0,1
Current State: 65:[24, 56, 15], Operations: ['43-28=15']
Exploring Operation: 24+56=80, Resulting Numbers: [15, 80]
Generated Node #0,1,0: 65:[15, 80] Operation: 24+56=80
Exploring Operation: 56+15=71, Resulting Numbers: [24, 71]
Generated Node #0,1,1: 65:[24, 71] Operation: 56+15=71
Exploring Operation: 24-15=9, Resulting Numbers: [56, 9]
Generated Node #0,1,2: 65:[56, 9] Operation: 24-15=9
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 65:[56, 9], Operations: ['43-28=15', '24-15=9']
Exploring Operation: 56+9=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[43, 24, 56, 28], Operations: []
Exploring Operation: 43-28=15, Resulting Numbers: [24, 56, 15]
Generated Node #0,1: 65:[24, 56, 15] Operation: 43-28=15
Moving to Node #0,1
Current State: 65:[24, 56, 15], Operations: ['43-28=15']
Exploring Operation: 24-15=9, Resulting Numbers: [56, 9]
Generated Node #0,1,2: 65:[56, 9] Operation: 24-15=9
Moving to Node #0,1,2
Current State: 65:[56, 9], Operations: ['43-28=15', '24-15=9']
Exploring Operation: 56+9=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
16,
96,
3,
57
] | 87 | [
"16*3=48",
"96-57=39",
"48+39=87"
] | Current State: 87:[16, 96, 3, 57], Operations: []
Exploring Operation: 16*3=48, Resulting Numbers: [96, 57, 48]
Generated Node #2: [96, 57, 48] from Operation: 16*3=48
Current State: 87:[96, 57, 48], Operations: ['16*3=48']
Exploring Operation: 96-57=39, Resulting Numbers: [48, 39]
Generated Node #3: [48, 39] from Operation: 96-57=39
Current State: 87:[48, 39], Operations: ['16*3=48', '96-57=39']
Exploring Operation: 48+39=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[16, 96, 3, 57], Operations: []
Exploring Operation: 96/16=6, Resulting Numbers: [3, 57, 6]
Generated Node #0,0: 87:[3, 57, 6] Operation: 96/16=6
Exploring Operation: 57-16=41, Resulting Numbers: [96, 3, 41]
Generated Node #0,1: 87:[96, 3, 41] Operation: 57-16=41
Exploring Operation: 96-57=39, Resulting Numbers: [16, 3, 39]
Generated Node #0,2: 87:[16, 3, 39] Operation: 96-57=39
Exploring Operation: 57/3=19, Resulting Numbers: [16, 96, 19]
Generated Node #0,3: 87:[16, 96, 19] Operation: 57/3=19
Exploring Operation: 16+57=73, Resulting Numbers: [96, 3, 73]
Generated Node #0,4: 87:[96, 3, 73] Operation: 16+57=73
Moving to Node #0,1
Current State: 87:[96, 3, 41], Operations: ['57-16=41']
Exploring Operation: 96/3=32, Resulting Numbers: [41, 32]
Generated Node #0,1,0: 87:[41, 32] Operation: 96/3=32
Exploring Operation: 41-3=38, Resulting Numbers: [96, 38]
Generated Node #0,1,1: 87:[96, 38] Operation: 41-3=38
Exploring Operation: 96+3=99, Resulting Numbers: [41, 99]
Generated Node #0,1,2: 87:[41, 99] Operation: 96+3=99
Exploring Operation: 96-3=93, Resulting Numbers: [41, 93]
Generated Node #0,1,3: 87:[41, 93] Operation: 96-3=93
Exploring Operation: 3+41=44, Resulting Numbers: [96, 44]
Generated Node #0,1,4: 87:[96, 44] Operation: 3+41=44
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 87:[41, 32], Operations: ['57-16=41', '96/3=32']
Exploring Operation: 41-32=9, Resulting Numbers: [9]
9,87 unequal: No Solution
Exploring Operation: 41*32=1312, Resulting Numbers: [1312]
1312,87 unequal: No Solution
Exploring Operation: 41+32=73, Resulting Numbers: [73]
73,87 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: 87:[96, 38], Operations: ['57-16=41', '41-3=38']
Exploring Operation: 96+38=134, Resulting Numbers: [134]
134,87 unequal: No Solution
Exploring Operation: 96*38=3648, Resulting Numbers: [3648]
3648,87 unequal: No Solution
Exploring Operation: 96-38=58, Resulting Numbers: [58]
58,87 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: 87:[41, 93], Operations: ['57-16=41', '96-3=93']
Exploring Operation: 41+93=134, Resulting Numbers: [134]
134,87 unequal: No Solution
Exploring Operation: 93-41=52, Resulting Numbers: [52]
52,87 unequal: No Solution
Exploring Operation: 41*93=3813, Resulting Numbers: [3813]
3813,87 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: 87:[41, 99], Operations: ['57-16=41', '96+3=99']
Exploring Operation: 41*99=4059, Resulting Numbers: [4059]
4059,87 unequal: No Solution
Exploring Operation: 99-41=58, Resulting Numbers: [58]
58,87 unequal: No Solution
Exploring Operation: 41+99=140, Resulting Numbers: [140]
140,87 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: 87:[96, 44], Operations: ['57-16=41', '3+41=44']
Exploring Operation: 96-44=52, Resulting Numbers: [52]
52,87 unequal: No Solution
Exploring Operation: 96+44=140, Resulting Numbers: [140]
140,87 unequal: No Solution
Exploring Operation: 96*44=4224, Resulting Numbers: [4224]
4224,87 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: 87:[96, 3, 73], Operations: ['16+57=73']
Exploring Operation: 96-3=93, Resulting Numbers: [73, 93]
Generated Node #0,4,0: 87:[73, 93] Operation: 96-3=93
Exploring Operation: 96-73=23, Resulting Numbers: [3, 23]
Generated Node #0,4,1: 87:[3, 23] Operation: 96-73=23
Exploring Operation: 96/3=32, Resulting Numbers: [73, 32]
Generated Node #0,4,2: 87:[73, 32] Operation: 96/3=32
Exploring Operation: 96+3=99, Resulting Numbers: [73, 99]
Generated Node #0,4,3: 87:[73, 99] Operation: 96+3=99
Exploring Operation: 3+73=76, Resulting Numbers: [96, 76]
Generated Node #0,4,4: 87:[96, 76] Operation: 3+73=76
Moving to Node #0,2
Current State: 87:[16, 3, 39], Operations: ['96-57=39']
Exploring Operation: 16-3=13, Resulting Numbers: [39, 13]
Generated Node #0,2,0: 87:[39, 13] Operation: 16-3=13
Exploring Operation: 39-3=36, Resulting Numbers: [16, 36]
Generated Node #0,2,1: 87:[16, 36] Operation: 39-3=36
Exploring Operation: 39/3=13, Resulting Numbers: [16, 13]
Generated Node #0,2,2: 87:[16, 13] Operation: 39/3=13
Exploring Operation: 16+3=19, Resulting Numbers: [39, 19]
Generated Node #0,2,3: 87:[39, 19] Operation: 16+3=19
Exploring Operation: 39-16=23, Resulting Numbers: [3, 23]
Generated Node #0,2,4: 87:[3, 23] Operation: 39-16=23
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 87:[3, 23], Operations: ['96-57=39', '39-16=23']
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,87 unequal: No Solution
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,87 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,87 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: 87:[39, 13], Operations: ['96-57=39', '16-3=13']
Exploring Operation: 39*13=507, Resulting Numbers: [507]
507,87 unequal: No Solution
Exploring Operation: 39/13=3, Resulting Numbers: [3]
3,87 unequal: No Solution
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,87 unequal: No Solution
Exploring Operation: 39+13=52, Resulting Numbers: [52]
52,87 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: 87:[16, 36], Operations: ['96-57=39', '39-3=36']
Exploring Operation: 16*36=576, Resulting Numbers: [576]
576,87 unequal: No Solution
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,87 unequal: No Solution
Exploring Operation: 16+36=52, Resulting Numbers: [52]
52,87 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: 87:[39, 19], Operations: ['96-57=39', '16+3=19']
Exploring Operation: 39-19=20, Resulting Numbers: [20]
20,87 unequal: No Solution
Exploring Operation: 39*19=741, Resulting Numbers: [741]
741,87 unequal: No Solution
Exploring Operation: 39+19=58, Resulting Numbers: [58]
58,87 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: 87:[16, 13], Operations: ['96-57=39', '39/3=13']
Exploring Operation: 16-13=3, Resulting Numbers: [3]
3,87 unequal: No Solution
Exploring Operation: 16*13=208, Resulting Numbers: [208]
208,87 unequal: No Solution
Exploring Operation: 16+13=29, Resulting Numbers: [29]
29,87 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: 87:[3, 57, 6], Operations: ['96/16=6']
Exploring Operation: 6-3=3, Resulting Numbers: [57, 3]
Generated Node #0,0,0: 87:[57, 3] Operation: 6-3=3
Exploring Operation: 57-3=54, Resulting Numbers: [6, 54]
Generated Node #0,0,1: 87:[6, 54] Operation: 57-3=54
Exploring Operation: 57+6=63, Resulting Numbers: [3, 63]
Generated Node #0,0,2: 87:[3, 63] Operation: 57+6=63
Exploring Operation: 57/3=19, Resulting Numbers: [6, 19]
Generated Node #0,0,3: 87:[6, 19] Operation: 57/3=19
Exploring Operation: 57-6=51, Resulting Numbers: [3, 51]
Generated Node #0,0,4: 87:[3, 51] Operation: 57-6=51
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 87:[6, 19], Operations: ['96/16=6', '57/3=19']
Exploring Operation: 6+19=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,87 unequal: No Solution
Exploring Operation: 6*19=114, Resulting Numbers: [114]
114,87 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: 87:[3, 51], Operations: ['96/16=6', '57-6=51']
Exploring Operation: 3*51=153, Resulting Numbers: [153]
153,87 unequal: No Solution
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,87 unequal: No Solution
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,87 unequal: No Solution
Exploring Operation: 3+51=54, Resulting Numbers: [54]
54,87 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: 87:[3, 63], Operations: ['96/16=6', '57+6=63']
Exploring Operation: 3*63=189, Resulting Numbers: [189]
189,87 unequal: No Solution
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,87 unequal: No Solution
Exploring Operation: 3+63=66, Resulting Numbers: [66]
66,87 unequal: No Solution
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,87 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: 87:[57, 3], Operations: ['96/16=6', '6-3=3']
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,87 unequal: No Solution
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,87 unequal: No Solution
Exploring Operation: 57*3=171, Resulting Numbers: [171]
171,87 unequal: No Solution
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,87 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: 87:[6, 54], Operations: ['96/16=6', '57-3=54']
Exploring Operation: 6+54=60, Resulting Numbers: [60]
60,87 unequal: No Solution
Exploring Operation: 6*54=324, Resulting Numbers: [324]
324,87 unequal: No Solution
Exploring Operation: 54/6=9, Resulting Numbers: [9]
9,87 unequal: No Solution
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,87 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: 87:[16, 96, 19], Operations: ['57/3=19']
Exploring Operation: 16+19=35, Resulting Numbers: [96, 35]
Generated Node #0,3,0: 87:[96, 35] Operation: 16+19=35
Exploring Operation: 96/16=6, Resulting Numbers: [19, 6]
Generated Node #0,3,1: 87:[19, 6] Operation: 96/16=6
Exploring Operation: 19-16=3, Resulting Numbers: [96, 3]
Generated Node #0,3,2: 87:[96, 3] Operation: 19-16=3
Exploring Operation: 96-19=77, Resulting Numbers: [16, 77]
Generated Node #0,3,3: 87:[16, 77] Operation: 96-19=77
Exploring Operation: 96-16=80, Resulting Numbers: [19, 80]
Generated Node #0,3,4: 87:[19, 80] Operation: 96-16=80
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 87:[96, 3], Operations: ['57/3=19', '19-16=3']
Exploring Operation: 96-3=93, Resulting Numbers: [93]
93,87 unequal: No Solution
Exploring Operation: 96+3=99, Resulting Numbers: [99]
99,87 unequal: No Solution
Exploring Operation: 96/3=32, Resulting Numbers: [32]
32,87 unequal: No Solution
Exploring Operation: 96*3=288, Resulting Numbers: [288]
288,87 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: 87:[19, 6], Operations: ['57/3=19', '96/16=6']
Exploring Operation: 19*6=114, Resulting Numbers: [114]
114,87 unequal: No Solution
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,87 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: 87:[96, 35], Operations: ['57/3=19', '16+19=35']
Exploring Operation: 96+35=131, Resulting Numbers: [131]
131,87 unequal: No Solution
Exploring Operation: 96*35=3360, Resulting Numbers: [3360]
3360,87 unequal: No Solution
Exploring Operation: 96-35=61, Resulting Numbers: [61]
61,87 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: 87:[19, 80], Operations: ['57/3=19', '96-16=80']
Exploring Operation: 19+80=99, Resulting Numbers: [99]
99,87 unequal: No Solution
Exploring Operation: 80-19=61, Resulting Numbers: [61]
61,87 unequal: No Solution
Exploring Operation: 19*80=1520, Resulting Numbers: [1520]
1520,87 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: 87:[16, 77], Operations: ['57/3=19', '96-19=77']
Exploring Operation: 16+77=93, Resulting Numbers: [93]
93,87 unequal: No Solution
Exploring Operation: 77-16=61, Resulting Numbers: [61]
61,87 unequal: No Solution
Exploring Operation: 16*77=1232, Resulting Numbers: [1232]
1232,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,1
Current State: 87:[3, 23], Operations: ['16+57=73', '96-73=23']
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,87 unequal: No Solution
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,87 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,87 unequal: No Solution
Moving to Node #0,4,2
Current State: 87:[73, 32], Operations: ['16+57=73', '96/3=32']
Exploring Operation: 73*32=2336, Resulting Numbers: [2336]
2336,87 unequal: No Solution
Exploring Operation: 73-32=41, Resulting Numbers: [41]
41,87 unequal: No Solution
Exploring Operation: 73+32=105, Resulting Numbers: [105]
105,87 unequal: No Solution
Moving to Node #0,4,0
Current State: 87:[73, 93], Operations: ['16+57=73', '96-3=93']
Exploring Operation: 93-73=20, Resulting Numbers: [20]
20,87 unequal: No Solution
Exploring Operation: 73*93=6789, Resulting Numbers: [6789]
6789,87 unequal: No Solution
Exploring Operation: 73+93=166, Resulting Numbers: [166]
166,87 unequal: No Solution
Moving to Node #0,4,4
Current State: 87:[96, 76], Operations: ['16+57=73', '3+73=76']
Exploring Operation: 96+76=172, Resulting Numbers: [172]
172,87 unequal: No Solution
Exploring Operation: 96*76=7296, Resulting Numbers: [7296]
7296,87 unequal: No Solution
Exploring Operation: 96-76=20, Resulting Numbers: [20]
20,87 unequal: No Solution
Moving to Node #0,4,3
Current State: 87:[73, 99], Operations: ['16+57=73', '96+3=99']
Exploring Operation: 73*99=7227, Resulting Numbers: [7227]
7227,87 unequal: No Solution
Exploring Operation: 99-73=26, Resulting Numbers: [26]
26,87 unequal: No Solution
Exploring Operation: 73+99=172, Resulting Numbers: [172]
172,87 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
6,
12,
19,
46
] | 83 | [
"6+12=18",
"19+46=65",
"18+65=83"
] | Current State: 83:[6, 12, 19, 46], Operations: []
Exploring Operation: 6+12=18, Resulting Numbers: [19, 46, 18]
Generated Node #2: [19, 46, 18] from Operation: 6+12=18
Current State: 83:[19, 46, 18], Operations: ['6+12=18']
Exploring Operation: 19+46=65, Resulting Numbers: [18, 65]
Generated Node #3: [18, 65] from Operation: 19+46=65
Current State: 83:[18, 65], Operations: ['6+12=18', '19+46=65']
Exploring Operation: 18+65=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[6, 12, 19, 46], Operations: []
Exploring Operation: 6*12=72, Resulting Numbers: [19, 46, 72]
Generated Node #0,0: 83:[19, 46, 72] Operation: 6*12=72
Exploring Operation: 6*19=114, Resulting Numbers: [12, 46, 114]
Generated Node #0,1: 83:[12, 46, 114] Operation: 6*19=114
Exploring Operation: 6+19=25, Resulting Numbers: [12, 46, 25]
Generated Node #0,2: 83:[12, 46, 25] Operation: 6+19=25
Exploring Operation: 6+12=18, Resulting Numbers: [19, 46, 18]
Generated Node #0,3: 83:[19, 46, 18] Operation: 6+12=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[19, 46, 72], Operations: ['6*12=72']
Exploring Operation: 19+72=91, Resulting Numbers: [46, 91]
Generated Node #0,0,0: 83:[46, 91] Operation: 19+72=91
Exploring Operation: 72-19=53, Resulting Numbers: [46, 53]
Generated Node #0,0,1: 83:[46, 53] Operation: 72-19=53
Exploring Operation: 19+46=65, Resulting Numbers: [72, 65]
Generated Node #0,0,2: 83:[72, 65] Operation: 19+46=65
Exploring Operation: 46-19=27, Resulting Numbers: [72, 27]
Generated Node #0,0,3: 83:[72, 27] Operation: 46-19=27
Moving to Node #0,0,2
Current State: 83:[72, 65], Operations: ['6*12=72', '19+46=65']
Exploring Operation: 72*65=4680, Resulting Numbers: [4680]
4680,83 unequal: No Solution
Exploring Operation: 72+65=137, Resulting Numbers: [137]
137,83 unequal: No Solution
Exploring Operation: 72-65=7, Resulting Numbers: [7]
7,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[46, 91], Operations: ['6*12=72', '19+72=91']
Exploring Operation: 91-46=45, Resulting Numbers: [45]
45,83 unequal: No Solution
Exploring Operation: 46+91=137, Resulting Numbers: [137]
137,83 unequal: No Solution
Exploring Operation: 46*91=4186, Resulting Numbers: [4186]
4186,83 unequal: No Solution
Moving to Node #0,0,3
Current State: 83:[72, 27], Operations: ['6*12=72', '46-19=27']
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,83 unequal: No Solution
Exploring Operation: 72*27=1944, Resulting Numbers: [1944]
1944,83 unequal: No Solution
Exploring Operation: 72+27=99, Resulting Numbers: [99]
99,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[46, 53], Operations: ['6*12=72', '72-19=53']
Exploring Operation: 53-46=7, Resulting Numbers: [7]
7,83 unequal: No Solution
Exploring Operation: 46*53=2438, Resulting Numbers: [2438]
2438,83 unequal: No Solution
Exploring Operation: 46+53=99, Resulting Numbers: [99]
99,83 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: 83:[12, 46, 114], Operations: ['6*19=114']
Exploring Operation: 12+46=58, Resulting Numbers: [114, 58]
Generated Node #0,1,0: 83:[114, 58] Operation: 12+46=58
Exploring Operation: 12+114=126, Resulting Numbers: [46, 126]
Generated Node #0,1,1: 83:[46, 126] Operation: 12+114=126
Exploring Operation: 46-12=34, Resulting Numbers: [114, 34]
Generated Node #0,1,2: 83:[114, 34] Operation: 46-12=34
Exploring Operation: 114-12=102, Resulting Numbers: [46, 102]
Generated Node #0,1,3: 83:[46, 102] Operation: 114-12=102
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 83:[114, 58], Operations: ['6*19=114', '12+46=58']
Exploring Operation: 114+58=172, Resulting Numbers: [172]
172,83 unequal: No Solution
Exploring Operation: 114*58=6612, Resulting Numbers: [6612]
6612,83 unequal: No Solution
Exploring Operation: 114-58=56, Resulting Numbers: [56]
56,83 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: 83:[46, 102], Operations: ['6*19=114', '114-12=102']
Exploring Operation: 102-46=56, Resulting Numbers: [56]
56,83 unequal: No Solution
Exploring Operation: 46+102=148, Resulting Numbers: [148]
148,83 unequal: No Solution
Exploring Operation: 46*102=4692, Resulting Numbers: [4692]
4692,83 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: 83:[46, 126], Operations: ['6*19=114', '12+114=126']
Exploring Operation: 126-46=80, Resulting Numbers: [80]
80,83 unequal: No Solution
Exploring Operation: 46+126=172, Resulting Numbers: [172]
172,83 unequal: No Solution
Exploring Operation: 46*126=5796, Resulting Numbers: [5796]
5796,83 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: 83:[114, 34], Operations: ['6*19=114', '46-12=34']
Exploring Operation: 114-34=80, Resulting Numbers: [80]
80,83 unequal: No Solution
Exploring Operation: 114*34=3876, Resulting Numbers: [3876]
3876,83 unequal: No Solution
Exploring Operation: 114+34=148, Resulting Numbers: [148]
148,83 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: 83:[12, 46, 25], Operations: ['6+19=25']
Exploring Operation: 12+25=37, Resulting Numbers: [46, 37]
Generated Node #0,2,0: 83:[46, 37] Operation: 12+25=37
Exploring Operation: 46-12=34, Resulting Numbers: [25, 34]
Generated Node #0,2,1: 83:[25, 34] Operation: 46-12=34
Exploring Operation: 46+25=71, Resulting Numbers: [12, 71]
Generated Node #0,2,2: 83:[12, 71] Operation: 46+25=71
Exploring Operation: 12+46=58, Resulting Numbers: [25, 58]
Generated Node #0,2,3: 83:[25, 58] Operation: 12+46=58
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 83:[46, 37], Operations: ['6+19=25', '12+25=37']
Exploring Operation: 46-37=9, Resulting Numbers: [9]
9,83 unequal: No Solution
Exploring Operation: 46*37=1702, Resulting Numbers: [1702]
1702,83 unequal: No Solution
Exploring Operation: 46+37=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[6, 12, 19, 46], Operations: []
Exploring Operation: 6+19=25, Resulting Numbers: [12, 46, 25]
Generated Node #0,2: 83:[12, 46, 25] Operation: 6+19=25
Moving to Node #0,2
Current State: 83:[12, 46, 25], Operations: ['6+19=25']
Exploring Operation: 12+25=37, Resulting Numbers: [46, 37]
Generated Node #0,2,0: 83:[46, 37] Operation: 12+25=37
Moving to Node #0,2,0
Current State: 83:[46, 37], Operations: ['6+19=25', '12+25=37']
Exploring Operation: 46+37=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.959201 | hs_4 | mult_heuristic |
[
9,
27,
75,
72
] | 73 | [
"9+27=36",
"72/36=2",
"75-2=73"
] | Current State: 73:[9, 27, 75, 72], Operations: []
Exploring Operation: 9+27=36, Resulting Numbers: [75, 72, 36]
Generated Node #2: [75, 72, 36] from Operation: 9+27=36
Current State: 73:[75, 72, 36], Operations: ['9+27=36']
Exploring Operation: 72/36=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 72/36=2
Current State: 73:[75, 2], Operations: ['9+27=36', '72/36=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[9, 27, 75, 72], Operations: []
Exploring Operation: 75-9=66, Resulting Numbers: [27, 72, 66]
Generated Node #0,0: 73:[27, 72, 66] Operation: 75-9=66
Exploring Operation: 9+72=81, Resulting Numbers: [27, 75, 81]
Generated Node #0,1: 73:[27, 75, 81] Operation: 9+72=81
Exploring Operation: 9+27=36, Resulting Numbers: [75, 72, 36]
Generated Node #0,2: 73:[75, 72, 36] Operation: 9+27=36
Start Sub Search at level 1: Moving to Node #0,2
Current State: 73:[75, 72, 36], Operations: ['9+27=36']
Exploring Operation: 75-36=39, Resulting Numbers: [72, 39]
Generated Node #0,2,0: 73:[72, 39] Operation: 75-36=39
Exploring Operation: 75+36=111, Resulting Numbers: [72, 111]
Generated Node #0,2,1: 73:[72, 111] Operation: 75+36=111
Exploring Operation: 72+36=108, Resulting Numbers: [75, 108]
Generated Node #0,2,2: 73:[75, 108] Operation: 72+36=108
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 73:[72, 39], Operations: ['9+27=36', '75-36=39']
Exploring Operation: 72+39=111, Resulting Numbers: [111]
111,73 unequal: No Solution
Exploring Operation: 72-39=33, Resulting Numbers: [33]
33,73 unequal: No Solution
Exploring Operation: 72*39=2808, Resulting Numbers: [2808]
2808,73 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: 73:[75, 108], Operations: ['9+27=36', '72+36=108']
Exploring Operation: 75+108=183, Resulting Numbers: [183]
183,73 unequal: No Solution
Exploring Operation: 75*108=8100, Resulting Numbers: [8100]
8100,73 unequal: No Solution
Exploring Operation: 108-75=33, Resulting Numbers: [33]
33,73 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: 73:[72, 111], Operations: ['9+27=36', '75+36=111']
Exploring Operation: 72*111=7992, Resulting Numbers: [7992]
7992,73 unequal: No Solution
Exploring Operation: 72+111=183, Resulting Numbers: [183]
183,73 unequal: No Solution
Exploring Operation: 111-72=39, Resulting Numbers: [39]
39,73 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: 73:[27, 72, 66], Operations: ['75-9=66']
Exploring Operation: 72-27=45, Resulting Numbers: [66, 45]
Generated Node #0,0,0: 73:[66, 45] Operation: 72-27=45
Exploring Operation: 27+66=93, Resulting Numbers: [72, 93]
Generated Node #0,0,1: 73:[72, 93] Operation: 27+66=93
Exploring Operation: 27+72=99, Resulting Numbers: [66, 99]
Generated Node #0,0,2: 73:[66, 99] Operation: 27+72=99
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 73:[72, 93], Operations: ['75-9=66', '27+66=93']
Exploring Operation: 72*93=6696, Resulting Numbers: [6696]
6696,73 unequal: No Solution
Exploring Operation: 93-72=21, Resulting Numbers: [21]
21,73 unequal: No Solution
Exploring Operation: 72+93=165, Resulting Numbers: [165]
165,73 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: 73:[66, 99], Operations: ['75-9=66', '27+72=99']
Exploring Operation: 66*99=6534, Resulting Numbers: [6534]
6534,73 unequal: No Solution
Exploring Operation: 99-66=33, Resulting Numbers: [33]
33,73 unequal: No Solution
Exploring Operation: 66+99=165, Resulting Numbers: [165]
165,73 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: 73:[66, 45], Operations: ['75-9=66', '72-27=45']
Exploring Operation: 66*45=2970, Resulting Numbers: [2970]
2970,73 unequal: No Solution
Exploring Operation: 66-45=21, Resulting Numbers: [21]
21,73 unequal: No Solution
Exploring Operation: 66+45=111, Resulting Numbers: [111]
111,73 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: 73:[27, 75, 81], Operations: ['9+72=81']
Exploring Operation: 75-27=48, Resulting Numbers: [81, 48]
Generated Node #0,1,0: 73:[81, 48] Operation: 75-27=48
Exploring Operation: 27+75=102, Resulting Numbers: [81, 102]
Generated Node #0,1,1: 73:[81, 102] Operation: 27+75=102
Exploring Operation: 81-27=54, Resulting Numbers: [75, 54]
Generated Node #0,1,2: 73:[75, 54] Operation: 81-27=54
Moving to Node #0,1,2
Current State: 73:[75, 54], Operations: ['9+72=81', '81-27=54']
Exploring Operation: 75-54=21, Resulting Numbers: [21]
21,73 unequal: No Solution
Exploring Operation: 75+54=129, Resulting Numbers: [129]
129,73 unequal: No Solution
Exploring Operation: 75*54=4050, Resulting Numbers: [4050]
4050,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[81, 48], Operations: ['9+72=81', '75-27=48']
Exploring Operation: 81+48=129, Resulting Numbers: [129]
129,73 unequal: No Solution
Exploring Operation: 81*48=3888, Resulting Numbers: [3888]
3888,73 unequal: No Solution
Exploring Operation: 81-48=33, Resulting Numbers: [33]
33,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[81, 102], Operations: ['9+72=81', '27+75=102']
Exploring Operation: 81*102=8262, Resulting Numbers: [8262]
8262,73 unequal: No Solution
Exploring Operation: 102-81=21, Resulting Numbers: [21]
21,73 unequal: No Solution
Exploring Operation: 81+102=183, Resulting Numbers: [183]
183,73 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 |
[
97,
33,
11,
16
] | 69 | [
"97-33=64",
"16-11=5",
"64+5=69"
] | Current State: 69:[97, 33, 11, 16], Operations: []
Exploring Operation: 97-33=64, Resulting Numbers: [11, 16, 64]
Generated Node #2: [11, 16, 64] from Operation: 97-33=64
Current State: 69:[11, 16, 64], Operations: ['97-33=64']
Exploring Operation: 16-11=5, Resulting Numbers: [64, 5]
Generated Node #3: [64, 5] from Operation: 16-11=5
Current State: 69:[64, 5], Operations: ['97-33=64', '16-11=5']
Exploring Operation: 64+5=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[97, 33, 11, 16], Operations: []
Exploring Operation: 97-11=86, Resulting Numbers: [33, 16, 86]
Generated Node #0,0: 69:[33, 16, 86] Operation: 97-11=86
Exploring Operation: 97-33=64, Resulting Numbers: [11, 16, 64]
Generated Node #0,1: 69:[11, 16, 64] Operation: 97-33=64
Exploring Operation: 97-16=81, Resulting Numbers: [33, 11, 81]
Generated Node #0,2: 69:[33, 11, 81] Operation: 97-16=81
Moving to Node #0,1
Current State: 69:[11, 16, 64], Operations: ['97-33=64']
Exploring Operation: 64/16=4, Resulting Numbers: [11, 4]
Generated Node #0,1,0: 69:[11, 4] Operation: 64/16=4
Exploring Operation: 11+16=27, Resulting Numbers: [64, 27]
Generated Node #0,1,1: 69:[64, 27] Operation: 11+16=27
Exploring Operation: 16-11=5, Resulting Numbers: [64, 5]
Generated Node #0,1,2: 69:[64, 5] Operation: 16-11=5
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 69:[64, 5], Operations: ['97-33=64', '16-11=5']
Exploring Operation: 64+5=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[97, 33, 11, 16], Operations: []
Exploring Operation: 97-33=64, Resulting Numbers: [11, 16, 64]
Generated Node #0,1: 69:[11, 16, 64] Operation: 97-33=64
Moving to Node #0,1
Current State: 69:[11, 16, 64], Operations: ['97-33=64']
Exploring Operation: 16-11=5, Resulting Numbers: [64, 5]
Generated Node #0,1,2: 69:[64, 5] Operation: 16-11=5
Moving to Node #0,1,2
Current State: 69:[64, 5], Operations: ['97-33=64', '16-11=5']
Exploring Operation: 64+5=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
93,
76,
70,
15
] | 18 | [
"93+15=108",
"76-70=6",
"108/6=18"
] | Current State: 18:[93, 76, 70, 15], Operations: []
Exploring Operation: 93+15=108, Resulting Numbers: [76, 70, 108]
Generated Node #2: [76, 70, 108] from Operation: 93+15=108
Current State: 18:[76, 70, 108], Operations: ['93+15=108']
Exploring Operation: 76-70=6, Resulting Numbers: [108, 6]
Generated Node #3: [108, 6] from Operation: 76-70=6
Current State: 18:[108, 6], Operations: ['93+15=108', '76-70=6']
Exploring Operation: 108/6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[93, 76, 70, 15], Operations: []
Exploring Operation: 76-70=6, Resulting Numbers: [93, 15, 6]
Generated Node #0,0: 18:[93, 15, 6] Operation: 76-70=6
Exploring Operation: 93-76=17, Resulting Numbers: [70, 15, 17]
Generated Node #0,1: 18:[70, 15, 17] Operation: 93-76=17
Exploring Operation: 93-15=78, Resulting Numbers: [76, 70, 78]
Generated Node #0,2: 18:[76, 70, 78] Operation: 93-15=78
Exploring Operation: 93-70=23, Resulting Numbers: [76, 15, 23]
Generated Node #0,3: 18:[76, 15, 23] Operation: 93-70=23
Start Sub Search at level 1: Moving to Node #0,1
Current State: 18:[70, 15, 17], Operations: ['93-76=17']
Exploring Operation: 15+17=32, Resulting Numbers: [70, 32]
Generated Node #0,1,0: 18:[70, 32] Operation: 15+17=32
Exploring Operation: 17-15=2, Resulting Numbers: [70, 2]
Generated Node #0,1,1: 18:[70, 2] Operation: 17-15=2
Exploring Operation: 70-15=55, Resulting Numbers: [17, 55]
Generated Node #0,1,2: 18:[17, 55] Operation: 70-15=55
Exploring Operation: 70-17=53, Resulting Numbers: [15, 53]
Generated Node #0,1,3: 18:[15, 53] Operation: 70-17=53
Moving to Node #0,1,2
Current State: 18:[17, 55], Operations: ['93-76=17', '70-15=55']
Exploring Operation: 55-17=38, Resulting Numbers: [38]
38,18 unequal: No Solution
Exploring Operation: 17+55=72, Resulting Numbers: [72]
72,18 unequal: No Solution
Exploring Operation: 17*55=935, Resulting Numbers: [935]
935,18 unequal: No Solution
Moving to Node #0,1,3
Current State: 18:[15, 53], Operations: ['93-76=17', '70-17=53']
Exploring Operation: 15+53=68, Resulting Numbers: [68]
68,18 unequal: No Solution
Exploring Operation: 53-15=38, Resulting Numbers: [38]
38,18 unequal: No Solution
Exploring Operation: 15*53=795, Resulting Numbers: [795]
795,18 unequal: No Solution
Moving to Node #0,1,1
Current State: 18:[70, 2], Operations: ['93-76=17', '17-15=2']
Exploring Operation: 70*2=140, Resulting Numbers: [140]
140,18 unequal: No Solution
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,18 unequal: No Solution
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,18 unequal: No Solution
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,18 unequal: No Solution
Moving to Node #0,1,0
Current State: 18:[70, 32], Operations: ['93-76=17', '15+17=32']
Exploring Operation: 70+32=102, Resulting Numbers: [102]
102,18 unequal: No Solution
Exploring Operation: 70-32=38, Resulting Numbers: [38]
38,18 unequal: No Solution
Exploring Operation: 70*32=2240, Resulting Numbers: [2240]
2240,18 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 #0,3
Current State: 18:[76, 15, 23], Operations: ['93-70=23']
Exploring Operation: 76+15=91, Resulting Numbers: [23, 91]
Generated Node #0,3,0: 18:[23, 91] Operation: 76+15=91
Exploring Operation: 76-15=61, Resulting Numbers: [23, 61]
Generated Node #0,3,1: 18:[23, 61] Operation: 76-15=61
Exploring Operation: 76-23=53, Resulting Numbers: [15, 53]
Generated Node #0,3,2: 18:[15, 53] Operation: 76-23=53
Exploring Operation: 23-15=8, Resulting Numbers: [76, 8]
Generated Node #0,3,3: 18:[76, 8] Operation: 23-15=8
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 18:[15, 53], Operations: ['93-70=23', '76-23=53']
Exploring Operation: 15+53=68, Resulting Numbers: [68]
68,18 unequal: No Solution
Exploring Operation: 53-15=38, Resulting Numbers: [38]
38,18 unequal: No Solution
Exploring Operation: 15*53=795, Resulting Numbers: [795]
795,18 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: 18:[23, 61], Operations: ['93-70=23', '76-15=61']
Exploring Operation: 61-23=38, Resulting Numbers: [38]
38,18 unequal: No Solution
Exploring Operation: 23*61=1403, Resulting Numbers: [1403]
1403,18 unequal: No Solution
Exploring Operation: 23+61=84, Resulting Numbers: [84]
84,18 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: 18:[76, 8], Operations: ['93-70=23', '23-15=8']
Exploring Operation: 76+8=84, Resulting Numbers: [84]
84,18 unequal: No Solution
Exploring Operation: 76-8=68, Resulting Numbers: [68]
68,18 unequal: No Solution
Exploring Operation: 76*8=608, Resulting Numbers: [608]
608,18 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: 18:[23, 91], Operations: ['93-70=23', '76+15=91']
Exploring Operation: 91-23=68, Resulting Numbers: [68]
68,18 unequal: No Solution
Exploring Operation: 23+91=114, Resulting Numbers: [114]
114,18 unequal: No Solution
Exploring Operation: 23*91=2093, Resulting Numbers: [2093]
2093,18 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: 18:[93, 15, 6], Operations: ['76-70=6']
Exploring Operation: 15-6=9, Resulting Numbers: [93, 9]
Generated Node #0,0,0: 18:[93, 9] Operation: 15-6=9
Exploring Operation: 93-15=78, Resulting Numbers: [6, 78]
Generated Node #0,0,1: 18:[6, 78] Operation: 93-15=78
Exploring Operation: 15+6=21, Resulting Numbers: [93, 21]
Generated Node #0,0,2: 18:[93, 21] Operation: 15+6=21
Exploring Operation: 93-6=87, Resulting Numbers: [15, 87]
Generated Node #0,0,3: 18:[15, 87] Operation: 93-6=87
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 18:[6, 78], Operations: ['76-70=6', '93-15=78']
Exploring Operation: 6+78=84, Resulting Numbers: [84]
84,18 unequal: No Solution
Exploring Operation: 78-6=72, Resulting Numbers: [72]
72,18 unequal: No Solution
Exploring Operation: 6*78=468, Resulting Numbers: [468]
468,18 unequal: No Solution
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,18 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: 18:[15, 87], Operations: ['76-70=6', '93-6=87']
Exploring Operation: 15+87=102, Resulting Numbers: [102]
102,18 unequal: No Solution
Exploring Operation: 15*87=1305, Resulting Numbers: [1305]
1305,18 unequal: No Solution
Exploring Operation: 87-15=72, Resulting Numbers: [72]
72,18 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: 18:[93, 9], Operations: ['76-70=6', '15-6=9']
Exploring Operation: 93+9=102, Resulting Numbers: [102]
102,18 unequal: No Solution
Exploring Operation: 93*9=837, Resulting Numbers: [837]
837,18 unequal: No Solution
Exploring Operation: 93-9=84, Resulting Numbers: [84]
84,18 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: 18:[93, 21], Operations: ['76-70=6', '15+6=21']
Exploring Operation: 93+21=114, Resulting Numbers: [114]
114,18 unequal: No Solution
Exploring Operation: 93-21=72, Resulting Numbers: [72]
72,18 unequal: No Solution
Exploring Operation: 93*21=1953, Resulting Numbers: [1953]
1953,18 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: 18:[76, 70, 78], Operations: ['93-15=78']
Exploring Operation: 78-70=8, Resulting Numbers: [76, 8]
Generated Node #0,2,0: 18:[76, 8] Operation: 78-70=8
Exploring Operation: 76-70=6, Resulting Numbers: [78, 6]
Generated Node #0,2,1: 18:[78, 6] Operation: 76-70=6
Exploring Operation: 76+70=146, Resulting Numbers: [78, 146]
Generated Node #0,2,2: 18:[78, 146] Operation: 76+70=146
Exploring Operation: 78-76=2, Resulting Numbers: [70, 2]
Generated Node #0,2,3: 18:[70, 2] Operation: 78-76=2
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 18:[70, 2], Operations: ['93-15=78', '78-76=2']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,18 unequal: No Solution
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,18 unequal: No Solution
Exploring Operation: 70*2=140, Resulting Numbers: [140]
140,18 unequal: No Solution
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,18 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: 18:[76, 8], Operations: ['93-15=78', '78-70=8']
Exploring Operation: 76*8=608, Resulting Numbers: [608]
608,18 unequal: No Solution
Exploring Operation: 76+8=84, Resulting Numbers: [84]
84,18 unequal: No Solution
Exploring Operation: 76-8=68, Resulting Numbers: [68]
68,18 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: 18:[78, 6], Operations: ['93-15=78', '76-70=6']
Exploring Operation: 78*6=468, Resulting Numbers: [468]
468,18 unequal: No Solution
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,18 unequal: No Solution
Exploring Operation: 78-6=72, Resulting Numbers: [72]
72,18 unequal: No Solution
Exploring Operation: 78+6=84, Resulting Numbers: [84]
84,18 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: 18:[78, 146], Operations: ['93-15=78', '76+70=146']
Exploring Operation: 146-78=68, Resulting Numbers: [68]
68,18 unequal: No Solution
Exploring Operation: 78+146=224, Resulting Numbers: [224]
224,18 unequal: No Solution
Exploring Operation: 78*146=11388, Resulting Numbers: [11388]
11388,18 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 |
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