nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
80,
26,
14,
48
] | 96 | [
"80*48=3840",
"26+14=40",
"3840/40=96"
] | Current State: 96:[80, 26, 14, 48], Operations: []
Exploring Operation: 80*48=3840, Resulting Numbers: [26, 14, 3840]
Generated Node #2: [26, 14, 3840] from Operation: 80*48=3840
Current State: 96:[26, 14, 3840], Operations: ['80*48=3840']
Exploring Operation: 26+14=40, Resulting Numbers: [3840, 40]
Generated Node #3: [3840, 40] from Operation: 26+14=40
Current State: 96:[3840, 40], Operations: ['80*48=3840', '26+14=40']
Exploring Operation: 3840/40=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
99,
17,
47,
89
] | 68 | [
"99+89=188",
"17*188=3196",
"3196/47=68"
] | Current State: 68:[99, 17, 47, 89], Operations: []
Exploring Operation: 99+89=188, Resulting Numbers: [17, 47, 188]
Generated Node #2: [17, 47, 188] from Operation: 99+89=188
Current State: 68:[17, 47, 188], Operations: ['99+89=188']
Exploring Operation: 17*188=3196, Resulting Numbers: [47, 3196]
Generated Node #3: [47, 3196] from Operation: 17*188=3196
Current State: 68:[47, 3196], Operations: ['99+89=188', '17*188=3196']
Exploring Operation: 3196/47=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
38,
66,
44,
39
] | 28 | [
"44-38=6",
"66/6=11",
"39-11=28"
] | Current State: 28:[38, 66, 44, 39], Operations: []
Exploring Operation: 44-38=6, Resulting Numbers: [66, 39, 6]
Generated Node #2: [66, 39, 6] from Operation: 44-38=6
Current State: 28:[66, 39, 6], Operations: ['44-38=6']
Exploring Operation: 66/6=11, Resulting Numbers: [39, 11]
Generated Node #3: [39, 11] from Operation: 66/6=11
Current State: 28:[39, 11], Operations: ['44-38=6', '66/6=11']
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
2,
88,
14,
6
] | 57 | [
"88+14=102",
"102/2=51",
"6+51=57"
] | Current State: 57:[2, 88, 14, 6], Operations: []
Exploring Operation: 88+14=102, Resulting Numbers: [2, 6, 102]
Generated Node #2: [2, 6, 102] from Operation: 88+14=102
Current State: 57:[2, 6, 102], Operations: ['88+14=102']
Exploring Operation: 102/2=51, Resulting Numbers: [6, 51]
Generated Node #3: [6, 51] from Operation: 102/2=51
Current State: 57:[6, 51], Operations: ['88+14=102', '102/2=51']
Exploring Operation: 6+51=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
42,
8,
21,
93
] | 51 | [
"93-21=72",
"72/8=9",
"42+9=51"
] | Current State: 51:[42, 8, 21, 93], Operations: []
Exploring Operation: 93-21=72, Resulting Numbers: [42, 8, 72]
Generated Node #2: [42, 8, 72] from Operation: 93-21=72
Current State: 51:[42, 8, 72], Operations: ['93-21=72']
Exploring Operation: 72/8=9, Resulting Numbers: [42, 9]
Generated Node #3: [42, 9] from Operation: 72/8=9
Current State: 51:[42, 9], Operations: ['93-21=72', '72/8=9']
Exploring Operation: 42+9=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
12,
11,
6,
2
] | 45 | [
"11*6=66",
"66/2=33",
"12+33=45"
] | Current State: 45:[12, 11, 6, 2], Operations: []
Exploring Operation: 11*6=66, Resulting Numbers: [12, 2, 66]
Generated Node #2: [12, 2, 66] from Operation: 11*6=66
Current State: 45:[12, 2, 66], Operations: ['11*6=66']
Exploring Operation: 66/2=33, Resulting Numbers: [12, 33]
Generated Node #3: [12, 33] from Operation: 66/2=33
Current State: 45:[12, 33], Operations: ['11*6=66', '66/2=33']
Exploring Operation: 12+33=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
3,
45,
90,
42
] | 91 | [
"45-3=42",
"42/42=1",
"90+1=91"
] | Current State: 91:[3, 45, 90, 42], Operations: []
Exploring Operation: 45-3=42, Resulting Numbers: [90, 42, 42]
Generated Node #2: [90, 42, 42] from Operation: 45-3=42
Current State: 91:[90, 42, 42], Operations: ['45-3=42']
Exploring Operation: 42/42=1, Resulting Numbers: [90, 1]
Generated Node #3: [90, 1] from Operation: 42/42=1
Current State: 91:[90, 1], Operations: ['45-3=42', '42/42=1']
Exploring Operation: 90+1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
4,
6,
1,
20
] | 82 | [
"20-1=19",
"4*19=76",
"6+76=82"
] | Current State: 82:[4, 6, 1, 20], Operations: []
Exploring Operation: 20-1=19, Resulting Numbers: [4, 6, 19]
Generated Node #2: [4, 6, 19] from Operation: 20-1=19
Current State: 82:[4, 6, 19], Operations: ['20-1=19']
Exploring Operation: 4*19=76, Resulting Numbers: [6, 76]
Generated Node #3: [6, 76] from Operation: 4*19=76
Current State: 82:[6, 76], Operations: ['20-1=19', '4*19=76']
Exploring Operation: 6+76=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
76,
26,
67,
12
] | 82 | [
"76-67=9",
"12*9=108",
"108-26=82"
] | Current State: 82:[76, 26, 67, 12], Operations: []
Exploring Operation: 76-67=9, Resulting Numbers: [26, 12, 9]
Generated Node #2: [26, 12, 9] from Operation: 76-67=9
Current State: 82:[26, 12, 9], Operations: ['76-67=9']
Exploring Operation: 12*9=108, Resulting Numbers: [26, 108]
Generated Node #3: [26, 108] from Operation: 12*9=108
Current State: 82:[26, 108], Operations: ['76-67=9', '12*9=108']
Exploring Operation: 108-26=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
73,
6,
87,
12
] | 59 | [
"73*12=876",
"876/6=146",
"146-87=59"
] | Current State: 59:[73, 6, 87, 12], Operations: []
Exploring Operation: 73*12=876, Resulting Numbers: [6, 87, 876]
Generated Node #2: [6, 87, 876] from Operation: 73*12=876
Current State: 59:[6, 87, 876], Operations: ['73*12=876']
Exploring Operation: 876/6=146, Resulting Numbers: [87, 146]
Generated Node #3: [87, 146] from Operation: 876/6=146
Current State: 59:[87, 146], Operations: ['73*12=876', '876/6=146']
Exploring Operation: 146-87=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
26,
25,
65,
46
] | 19 | [
"26-25=1",
"65-46=19",
"1*19=19"
] | Current State: 19:[26, 25, 65, 46], Operations: []
Exploring Operation: 26-25=1, Resulting Numbers: [65, 46, 1]
Generated Node #2: [65, 46, 1] from Operation: 26-25=1
Current State: 19:[65, 46, 1], Operations: ['26-25=1']
Exploring Operation: 65-46=19, Resulting Numbers: [1, 19]
Generated Node #3: [1, 19] from Operation: 65-46=19
Current State: 19:[1, 19], Operations: ['26-25=1', '65-46=19']
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
36,
75,
3,
26
] | 35 | [
"36-26=10",
"75/3=25",
"10+25=35"
] | Current State: 35:[36, 75, 3, 26], Operations: []
Exploring Operation: 36-26=10, Resulting Numbers: [75, 3, 10]
Generated Node #2: [75, 3, 10] from Operation: 36-26=10
Current State: 35:[75, 3, 10], Operations: ['36-26=10']
Exploring Operation: 75/3=25, Resulting Numbers: [10, 25]
Generated Node #3: [10, 25] from Operation: 75/3=25
Current State: 35:[10, 25], Operations: ['36-26=10', '75/3=25']
Exploring Operation: 10+25=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
95,
68,
87,
85
] | 80 | [
"87-68=19",
"95/19=5",
"85-5=80"
] | Current State: 80:[95, 68, 87, 85], Operations: []
Exploring Operation: 87-68=19, Resulting Numbers: [95, 85, 19]
Generated Node #2: [95, 85, 19] from Operation: 87-68=19
Current State: 80:[95, 85, 19], Operations: ['87-68=19']
Exploring Operation: 95/19=5, Resulting Numbers: [85, 5]
Generated Node #3: [85, 5] from Operation: 95/19=5
Current State: 80:[85, 5], Operations: ['87-68=19', '95/19=5']
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
2,
62,
97,
45
] | 78 | [
"2+62=64",
"97+45=142",
"142-64=78"
] | Current State: 78:[2, 62, 97, 45], Operations: []
Exploring Operation: 2+62=64, Resulting Numbers: [97, 45, 64]
Generated Node #2: [97, 45, 64] from Operation: 2+62=64
Current State: 78:[97, 45, 64], Operations: ['2+62=64']
Exploring Operation: 97+45=142, Resulting Numbers: [64, 142]
Generated Node #3: [64, 142] from Operation: 97+45=142
Current State: 78:[64, 142], Operations: ['2+62=64', '97+45=142']
Exploring Operation: 142-64=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
56,
72,
54,
8
] | 78 | [
"72-56=16",
"54+8=62",
"16+62=78"
] | Current State: 78:[56, 72, 54, 8], Operations: []
Exploring Operation: 72-56=16, Resulting Numbers: [54, 8, 16]
Generated Node #2: [54, 8, 16] from Operation: 72-56=16
Current State: 78:[54, 8, 16], Operations: ['72-56=16']
Exploring Operation: 54+8=62, Resulting Numbers: [16, 62]
Generated Node #3: [16, 62] from Operation: 54+8=62
Current State: 78:[16, 62], Operations: ['72-56=16', '54+8=62']
Exploring Operation: 16+62=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
75,
96,
10,
72
] | 89 | [
"75+96=171",
"10+72=82",
"171-82=89"
] | Current State: 89:[75, 96, 10, 72], Operations: []
Exploring Operation: 75+96=171, Resulting Numbers: [10, 72, 171]
Generated Node #2: [10, 72, 171] from Operation: 75+96=171
Current State: 89:[10, 72, 171], Operations: ['75+96=171']
Exploring Operation: 10+72=82, Resulting Numbers: [171, 82]
Generated Node #3: [171, 82] from Operation: 10+72=82
Current State: 89:[171, 82], Operations: ['75+96=171', '10+72=82']
Exploring Operation: 171-82=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
12,
2,
53,
54
] | 11 | [
"12-2=10",
"54-53=1",
"10+1=11"
] | Current State: 11:[12, 2, 53, 54], Operations: []
Exploring Operation: 12-2=10, Resulting Numbers: [53, 54, 10]
Generated Node #2: [53, 54, 10] from Operation: 12-2=10
Current State: 11:[53, 54, 10], Operations: ['12-2=10']
Exploring Operation: 54-53=1, Resulting Numbers: [10, 1]
Generated Node #3: [10, 1] from Operation: 54-53=1
Current State: 11:[10, 1], Operations: ['12-2=10', '54-53=1']
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
75,
39,
85,
6
] | 99 | [
"85-75=10",
"6*10=60",
"39+60=99"
] | Current State: 99:[75, 39, 85, 6], Operations: []
Exploring Operation: 85-75=10, Resulting Numbers: [39, 6, 10]
Generated Node #2: [39, 6, 10] from Operation: 85-75=10
Current State: 99:[39, 6, 10], Operations: ['85-75=10']
Exploring Operation: 6*10=60, Resulting Numbers: [39, 60]
Generated Node #3: [39, 60] from Operation: 6*10=60
Current State: 99:[39, 60], Operations: ['85-75=10', '6*10=60']
Exploring Operation: 39+60=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
5,
65,
65,
26
] | 99 | [
"65-5=60",
"65-26=39",
"60+39=99"
] | Current State: 99:[5, 65, 65, 26], Operations: []
Exploring Operation: 65-5=60, Resulting Numbers: [26, 60]
Generated Node #2: [26, 60] from Operation: 65-5=60
Current State: 99:[26, 60], Operations: ['65-5=60']
Exploring Operation: 65-26=39, Resulting Numbers: [60, 39]
Generated Node #3: [60, 39] from Operation: 65-26=39
Current State: 99:[60, 39], Operations: ['65-5=60', '65-26=39']
Exploring Operation: 60+39=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
78,
78,
4,
46
] | 42 | [
"78-78=0",
"46-4=42",
"0+42=42"
] | Current State: 42:[78, 78, 4, 46], Operations: []
Exploring Operation: 78-78=0, Resulting Numbers: [4, 46, 0]
Generated Node #2: [4, 46, 0] from Operation: 78-78=0
Current State: 42:[4, 46, 0], Operations: ['78-78=0']
Exploring Operation: 46-4=42, Resulting Numbers: [0, 42]
Generated Node #3: [0, 42] from Operation: 46-4=42
Current State: 42:[0, 42], Operations: ['78-78=0', '46-4=42']
Exploring Operation: 0+42=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
89,
64,
41,
68
] | 44 | [
"89+64=153",
"41+68=109",
"153-109=44"
] | Current State: 44:[89, 64, 41, 68], Operations: []
Exploring Operation: 89+64=153, Resulting Numbers: [41, 68, 153]
Generated Node #2: [41, 68, 153] from Operation: 89+64=153
Current State: 44:[41, 68, 153], Operations: ['89+64=153']
Exploring Operation: 41+68=109, Resulting Numbers: [153, 109]
Generated Node #3: [153, 109] from Operation: 41+68=109
Current State: 44:[153, 109], Operations: ['89+64=153', '41+68=109']
Exploring Operation: 153-109=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
83,
43,
36,
91
] | 87 | [
"83-43=40",
"36+91=127",
"127-40=87"
] | Current State: 87:[83, 43, 36, 91], Operations: []
Exploring Operation: 83-43=40, Resulting Numbers: [36, 91, 40]
Generated Node #2: [36, 91, 40] from Operation: 83-43=40
Current State: 87:[36, 91, 40], Operations: ['83-43=40']
Exploring Operation: 36+91=127, Resulting Numbers: [40, 127]
Generated Node #3: [40, 127] from Operation: 36+91=127
Current State: 87:[40, 127], Operations: ['83-43=40', '36+91=127']
Exploring Operation: 127-40=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
75,
74,
36,
52
] | 89 | [
"75-74=1",
"36+52=88",
"1+88=89"
] | Current State: 89:[75, 74, 36, 52], Operations: []
Exploring Operation: 75-74=1, Resulting Numbers: [36, 52, 1]
Generated Node #2: [36, 52, 1] from Operation: 75-74=1
Current State: 89:[36, 52, 1], Operations: ['75-74=1']
Exploring Operation: 36+52=88, Resulting Numbers: [1, 88]
Generated Node #3: [1, 88] from Operation: 36+52=88
Current State: 89:[1, 88], Operations: ['75-74=1', '36+52=88']
Exploring Operation: 1+88=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
46,
6,
9,
2
] | 70 | [
"46+6=52",
"9*2=18",
"52+18=70"
] | Current State: 70:[46, 6, 9, 2], Operations: []
Exploring Operation: 46+6=52, Resulting Numbers: [9, 2, 52]
Generated Node #2: [9, 2, 52] from Operation: 46+6=52
Current State: 70:[9, 2, 52], Operations: ['46+6=52']
Exploring Operation: 9*2=18, Resulting Numbers: [52, 18]
Generated Node #3: [52, 18] from Operation: 9*2=18
Current State: 70:[52, 18], Operations: ['46+6=52', '9*2=18']
Exploring Operation: 52+18=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
5,
69,
1,
42
] | 76 | [
"5+1=6",
"42/6=7",
"69+7=76"
] | Current State: 76:[5, 69, 1, 42], Operations: []
Exploring Operation: 5+1=6, Resulting Numbers: [69, 42, 6]
Generated Node #2: [69, 42, 6] from Operation: 5+1=6
Current State: 76:[69, 42, 6], Operations: ['5+1=6']
Exploring Operation: 42/6=7, Resulting Numbers: [69, 7]
Generated Node #3: [69, 7] from Operation: 42/6=7
Current State: 76:[69, 7], Operations: ['5+1=6', '42/6=7']
Exploring Operation: 69+7=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
98,
2,
64,
22
] | 70 | [
"98+64=162",
"162-22=140",
"140/2=70"
] | Current State: 70:[98, 2, 64, 22], Operations: []
Exploring Operation: 98+64=162, Resulting Numbers: [2, 22, 162]
Generated Node #2: [2, 22, 162] from Operation: 98+64=162
Current State: 70:[2, 22, 162], Operations: ['98+64=162']
Exploring Operation: 162-22=140, Resulting Numbers: [2, 140]
Generated Node #3: [2, 140] from Operation: 162-22=140
Current State: 70:[2, 140], Operations: ['98+64=162', '162-22=140']
Exploring Operation: 140/2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
47,
88,
34,
97
] | 72 | [
"47+88=135",
"97-34=63",
"135-63=72"
] | Current State: 72:[47, 88, 34, 97], Operations: []
Exploring Operation: 47+88=135, Resulting Numbers: [34, 97, 135]
Generated Node #2: [34, 97, 135] from Operation: 47+88=135
Current State: 72:[34, 97, 135], Operations: ['47+88=135']
Exploring Operation: 97-34=63, Resulting Numbers: [135, 63]
Generated Node #3: [135, 63] from Operation: 97-34=63
Current State: 72:[135, 63], Operations: ['47+88=135', '97-34=63']
Exploring Operation: 135-63=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
41,
3,
40,
8
] | 26 | [
"3*40=120",
"120/8=15",
"41-15=26"
] | Current State: 26:[41, 3, 40, 8], Operations: []
Exploring Operation: 3*40=120, Resulting Numbers: [41, 8, 120]
Generated Node #2: [41, 8, 120] from Operation: 3*40=120
Current State: 26:[41, 8, 120], Operations: ['3*40=120']
Exploring Operation: 120/8=15, Resulting Numbers: [41, 15]
Generated Node #3: [41, 15] from Operation: 120/8=15
Current State: 26:[41, 15], Operations: ['3*40=120', '120/8=15']
Exploring Operation: 41-15=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
85,
83,
58,
40
] | 70 | [
"85+83=168",
"58+40=98",
"168-98=70"
] | Current State: 70:[85, 83, 58, 40], Operations: []
Exploring Operation: 85+83=168, Resulting Numbers: [58, 40, 168]
Generated Node #2: [58, 40, 168] from Operation: 85+83=168
Current State: 70:[58, 40, 168], Operations: ['85+83=168']
Exploring Operation: 58+40=98, Resulting Numbers: [168, 98]
Generated Node #3: [168, 98] from Operation: 58+40=98
Current State: 70:[168, 98], Operations: ['85+83=168', '58+40=98']
Exploring Operation: 168-98=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
15,
41,
53,
19
] | 39 | [
"53-15=38",
"38/19=2",
"41-2=39"
] | Current State: 39:[15, 41, 53, 19], Operations: []
Exploring Operation: 53-15=38, Resulting Numbers: [41, 19, 38]
Generated Node #2: [41, 19, 38] from Operation: 53-15=38
Current State: 39:[41, 19, 38], Operations: ['53-15=38']
Exploring Operation: 38/19=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 38/19=2
Current State: 39:[41, 2], Operations: ['53-15=38', '38/19=2']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
13,
14,
3,
58
] | 61 | [
"14-13=1",
"3+58=61",
"1*61=61"
] | Current State: 61:[13, 14, 3, 58], Operations: []
Exploring Operation: 14-13=1, Resulting Numbers: [3, 58, 1]
Generated Node #2: [3, 58, 1] from Operation: 14-13=1
Current State: 61:[3, 58, 1], Operations: ['14-13=1']
Exploring Operation: 3+58=61, Resulting Numbers: [1, 61]
Generated Node #3: [1, 61] from Operation: 3+58=61
Current State: 61:[1, 61], Operations: ['14-13=1', '3+58=61']
Exploring Operation: 1*61=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
35,
43,
17,
18
] | 78 | [
"35+43=78",
"18-17=1",
"78*1=78"
] | Current State: 78:[35, 43, 17, 18], Operations: []
Exploring Operation: 35+43=78, Resulting Numbers: [17, 18, 78]
Generated Node #2: [17, 18, 78] from Operation: 35+43=78
Current State: 78:[17, 18, 78], Operations: ['35+43=78']
Exploring Operation: 18-17=1, Resulting Numbers: [78, 1]
Generated Node #3: [78, 1] from Operation: 18-17=1
Current State: 78:[78, 1], Operations: ['35+43=78', '18-17=1']
Exploring Operation: 78*1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
27,
35,
16,
13
] | 26 | [
"35-27=8",
"16*13=208",
"208/8=26"
] | Current State: 26:[27, 35, 16, 13], Operations: []
Exploring Operation: 35-27=8, Resulting Numbers: [16, 13, 8]
Generated Node #2: [16, 13, 8] from Operation: 35-27=8
Current State: 26:[16, 13, 8], Operations: ['35-27=8']
Exploring Operation: 16*13=208, Resulting Numbers: [8, 208]
Generated Node #3: [8, 208] from Operation: 16*13=208
Current State: 26:[8, 208], Operations: ['35-27=8', '16*13=208']
Exploring Operation: 208/8=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
27,
75,
76,
17
] | 10 | [
"27-17=10",
"76-75=1",
"10*1=10"
] | Current State: 10:[27, 75, 76, 17], Operations: []
Exploring Operation: 27-17=10, Resulting Numbers: [75, 76, 10]
Generated Node #2: [75, 76, 10] from Operation: 27-17=10
Current State: 10:[75, 76, 10], Operations: ['27-17=10']
Exploring Operation: 76-75=1, Resulting Numbers: [10, 1]
Generated Node #3: [10, 1] from Operation: 76-75=1
Current State: 10:[10, 1], Operations: ['27-17=10', '76-75=1']
Exploring Operation: 10*1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
13,
4,
12,
40
] | 81 | [
"40-13=27",
"12/4=3",
"27*3=81"
] | Current State: 81:[13, 4, 12, 40], Operations: []
Exploring Operation: 40-13=27, Resulting Numbers: [4, 12, 27]
Generated Node #2: [4, 12, 27] from Operation: 40-13=27
Current State: 81:[4, 12, 27], Operations: ['40-13=27']
Exploring Operation: 12/4=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 12/4=3
Current State: 81:[27, 3], Operations: ['40-13=27', '12/4=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
20,
11,
7,
26
] | 73 | [
"26-20=6",
"11*6=66",
"7+66=73"
] | Current State: 73:[20, 11, 7, 26], Operations: []
Exploring Operation: 26-20=6, Resulting Numbers: [11, 7, 6]
Generated Node #2: [11, 7, 6] from Operation: 26-20=6
Current State: 73:[11, 7, 6], Operations: ['26-20=6']
Exploring Operation: 11*6=66, Resulting Numbers: [7, 66]
Generated Node #3: [7, 66] from Operation: 11*6=66
Current State: 73:[7, 66], Operations: ['26-20=6', '11*6=66']
Exploring Operation: 7+66=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
9,
30,
87,
6
] | 84 | [
"9+87=96",
"30*6=180",
"180-96=84"
] | Current State: 84:[9, 30, 87, 6], Operations: []
Exploring Operation: 9+87=96, Resulting Numbers: [30, 6, 96]
Generated Node #2: [30, 6, 96] from Operation: 9+87=96
Current State: 84:[30, 6, 96], Operations: ['9+87=96']
Exploring Operation: 30*6=180, Resulting Numbers: [96, 180]
Generated Node #3: [96, 180] from Operation: 30*6=180
Current State: 84:[96, 180], Operations: ['9+87=96', '30*6=180']
Exploring Operation: 180-96=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
55,
24,
45,
7
] | 83 | [
"55-24=31",
"45+7=52",
"31+52=83"
] | Current State: 83:[55, 24, 45, 7], Operations: []
Exploring Operation: 55-24=31, Resulting Numbers: [45, 7, 31]
Generated Node #2: [45, 7, 31] from Operation: 55-24=31
Current State: 83:[45, 7, 31], Operations: ['55-24=31']
Exploring Operation: 45+7=52, Resulting Numbers: [31, 52]
Generated Node #3: [31, 52] from Operation: 45+7=52
Current State: 83:[31, 52], Operations: ['55-24=31', '45+7=52']
Exploring Operation: 31+52=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
36,
23,
58,
15
] | 26 | [
"36*15=540",
"58+540=598",
"598/23=26"
] | Current State: 26:[36, 23, 58, 15], Operations: []
Exploring Operation: 36*15=540, Resulting Numbers: [23, 58, 540]
Generated Node #2: [23, 58, 540] from Operation: 36*15=540
Current State: 26:[23, 58, 540], Operations: ['36*15=540']
Exploring Operation: 58+540=598, Resulting Numbers: [23, 598]
Generated Node #3: [23, 598] from Operation: 58+540=598
Current State: 26:[23, 598], Operations: ['36*15=540', '58+540=598']
Exploring Operation: 598/23=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
57,
73,
7,
85
] | 94 | [
"73-57=16",
"85-7=78",
"16+78=94"
] | Current State: 94:[57, 73, 7, 85], Operations: []
Exploring Operation: 73-57=16, Resulting Numbers: [7, 85, 16]
Generated Node #2: [7, 85, 16] from Operation: 73-57=16
Current State: 94:[7, 85, 16], Operations: ['73-57=16']
Exploring Operation: 85-7=78, Resulting Numbers: [16, 78]
Generated Node #3: [16, 78] from Operation: 85-7=78
Current State: 94:[16, 78], Operations: ['73-57=16', '85-7=78']
Exploring Operation: 16+78=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
26,
87,
90,
94
] | 17 | [
"94-90=4",
"26*4=104",
"104-87=17"
] | Current State: 17:[26, 87, 90, 94], Operations: []
Exploring Operation: 94-90=4, Resulting Numbers: [26, 87, 4]
Generated Node #2: [26, 87, 4] from Operation: 94-90=4
Current State: 17:[26, 87, 4], Operations: ['94-90=4']
Exploring Operation: 26*4=104, Resulting Numbers: [87, 104]
Generated Node #3: [87, 104] from Operation: 26*4=104
Current State: 17:[87, 104], Operations: ['94-90=4', '26*4=104']
Exploring Operation: 104-87=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
54,
9,
17,
2
] | 14 | [
"54-9=45",
"45-17=28",
"28/2=14"
] | Current State: 14:[54, 9, 17, 2], Operations: []
Exploring Operation: 54-9=45, Resulting Numbers: [17, 2, 45]
Generated Node #2: [17, 2, 45] from Operation: 54-9=45
Current State: 14:[17, 2, 45], Operations: ['54-9=45']
Exploring Operation: 45-17=28, Resulting Numbers: [2, 28]
Generated Node #3: [2, 28] from Operation: 45-17=28
Current State: 14:[2, 28], Operations: ['54-9=45', '45-17=28']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
76,
54,
87,
85
] | 11 | [
"76-54=22",
"87-85=2",
"22/2=11"
] | Current State: 11:[76, 54, 87, 85], Operations: []
Exploring Operation: 76-54=22, Resulting Numbers: [87, 85, 22]
Generated Node #2: [87, 85, 22] from Operation: 76-54=22
Current State: 11:[87, 85, 22], Operations: ['76-54=22']
Exploring Operation: 87-85=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 87-85=2
Current State: 11:[22, 2], Operations: ['76-54=22', '87-85=2']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
35,
55,
64,
15
] | 29 | [
"55-35=20",
"64-15=49",
"49-20=29"
] | Current State: 29:[35, 55, 64, 15], Operations: []
Exploring Operation: 55-35=20, Resulting Numbers: [64, 15, 20]
Generated Node #2: [64, 15, 20] from Operation: 55-35=20
Current State: 29:[64, 15, 20], Operations: ['55-35=20']
Exploring Operation: 64-15=49, Resulting Numbers: [20, 49]
Generated Node #3: [20, 49] from Operation: 64-15=49
Current State: 29:[20, 49], Operations: ['55-35=20', '64-15=49']
Exploring Operation: 49-20=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
20,
83,
60,
98
] | 65 | [
"20+83=103",
"98-60=38",
"103-38=65"
] | Current State: 65:[20, 83, 60, 98], Operations: []
Exploring Operation: 20+83=103, Resulting Numbers: [60, 98, 103]
Generated Node #2: [60, 98, 103] from Operation: 20+83=103
Current State: 65:[60, 98, 103], Operations: ['20+83=103']
Exploring Operation: 98-60=38, Resulting Numbers: [103, 38]
Generated Node #3: [103, 38] from Operation: 98-60=38
Current State: 65:[103, 38], Operations: ['20+83=103', '98-60=38']
Exploring Operation: 103-38=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
8,
73,
49,
47
] | 50 | [
"73-49=24",
"24/8=3",
"47+3=50"
] | Current State: 50:[8, 73, 49, 47], Operations: []
Exploring Operation: 73-49=24, Resulting Numbers: [8, 47, 24]
Generated Node #2: [8, 47, 24] from Operation: 73-49=24
Current State: 50:[8, 47, 24], Operations: ['73-49=24']
Exploring Operation: 24/8=3, Resulting Numbers: [47, 3]
Generated Node #3: [47, 3] from Operation: 24/8=3
Current State: 50:[47, 3], Operations: ['73-49=24', '24/8=3']
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
31,
32,
40,
16
] | 29 | [
"40-32=8",
"16/8=2",
"31-2=29"
] | Current State: 29:[31, 32, 40, 16], Operations: []
Exploring Operation: 40-32=8, Resulting Numbers: [31, 16, 8]
Generated Node #2: [31, 16, 8] from Operation: 40-32=8
Current State: 29:[31, 16, 8], Operations: ['40-32=8']
Exploring Operation: 16/8=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 16/8=2
Current State: 29:[31, 2], Operations: ['40-32=8', '16/8=2']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
44,
15,
91,
30
] | 94 | [
"91-44=47",
"30/15=2",
"47*2=94"
] | Current State: 94:[44, 15, 91, 30], Operations: []
Exploring Operation: 91-44=47, Resulting Numbers: [15, 30, 47]
Generated Node #2: [15, 30, 47] from Operation: 91-44=47
Current State: 94:[15, 30, 47], Operations: ['91-44=47']
Exploring Operation: 30/15=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 30/15=2
Current State: 94:[47, 2], Operations: ['91-44=47', '30/15=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
92,
30,
5,
56
] | 30 | [
"92-30=62",
"62-56=6",
"5*6=30"
] | Current State: 30:[92, 30, 5, 56], Operations: []
Exploring Operation: 92-30=62, Resulting Numbers: [5, 56, 62]
Generated Node #2: [5, 56, 62] from Operation: 92-30=62
Current State: 30:[5, 56, 62], Operations: ['92-30=62']
Exploring Operation: 62-56=6, Resulting Numbers: [5, 6]
Generated Node #3: [5, 6] from Operation: 62-56=6
Current State: 30:[5, 6], Operations: ['92-30=62', '62-56=6']
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
78,
62,
15,
87
] | 58 | [
"78+15=93",
"62*87=5394",
"5394/93=58"
] | Current State: 58:[78, 62, 15, 87], Operations: []
Exploring Operation: 78+15=93, Resulting Numbers: [62, 87, 93]
Generated Node #2: [62, 87, 93] from Operation: 78+15=93
Current State: 58:[62, 87, 93], Operations: ['78+15=93']
Exploring Operation: 62*87=5394, Resulting Numbers: [93, 5394]
Generated Node #3: [93, 5394] from Operation: 62*87=5394
Current State: 58:[93, 5394], Operations: ['78+15=93', '62*87=5394']
Exploring Operation: 5394/93=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
98,
78,
69,
14
] | 93 | [
"98+78=176",
"69+14=83",
"176-83=93"
] | Current State: 93:[98, 78, 69, 14], Operations: []
Exploring Operation: 98+78=176, Resulting Numbers: [69, 14, 176]
Generated Node #2: [69, 14, 176] from Operation: 98+78=176
Current State: 93:[69, 14, 176], Operations: ['98+78=176']
Exploring Operation: 69+14=83, Resulting Numbers: [176, 83]
Generated Node #3: [176, 83] from Operation: 69+14=83
Current State: 93:[176, 83], Operations: ['98+78=176', '69+14=83']
Exploring Operation: 176-83=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
31,
14,
3,
67
] | 12 | [
"31*3=93",
"14+67=81",
"93-81=12"
] | Current State: 12:[31, 14, 3, 67], Operations: []
Exploring Operation: 31*3=93, Resulting Numbers: [14, 67, 93]
Generated Node #2: [14, 67, 93] from Operation: 31*3=93
Current State: 12:[14, 67, 93], Operations: ['31*3=93']
Exploring Operation: 14+67=81, Resulting Numbers: [93, 81]
Generated Node #3: [93, 81] from Operation: 14+67=81
Current State: 12:[93, 81], Operations: ['31*3=93', '14+67=81']
Exploring Operation: 93-81=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
63,
47,
31,
92
] | 94 | [
"63+31=94",
"94/47=2",
"92+2=94"
] | Current State: 94:[63, 47, 31, 92], Operations: []
Exploring Operation: 63+31=94, Resulting Numbers: [47, 92, 94]
Generated Node #2: [47, 92, 94] from Operation: 63+31=94
Current State: 94:[47, 92, 94], Operations: ['63+31=94']
Exploring Operation: 94/47=2, Resulting Numbers: [92, 2]
Generated Node #3: [92, 2] from Operation: 94/47=2
Current State: 94:[92, 2], Operations: ['63+31=94', '94/47=2']
Exploring Operation: 92+2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
55,
64,
10,
65
] | 84 | [
"64-55=9",
"10+65=75",
"9+75=84"
] | Current State: 84:[55, 64, 10, 65], Operations: []
Exploring Operation: 64-55=9, Resulting Numbers: [10, 65, 9]
Generated Node #2: [10, 65, 9] from Operation: 64-55=9
Current State: 84:[10, 65, 9], Operations: ['64-55=9']
Exploring Operation: 10+65=75, Resulting Numbers: [9, 75]
Generated Node #3: [9, 75] from Operation: 10+65=75
Current State: 84:[9, 75], Operations: ['64-55=9', '10+65=75']
Exploring Operation: 9+75=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
78,
99,
15,
66
] | 42 | [
"78-15=63",
"66*63=4158",
"4158/99=42"
] | Current State: 42:[78, 99, 15, 66], Operations: []
Exploring Operation: 78-15=63, Resulting Numbers: [99, 66, 63]
Generated Node #2: [99, 66, 63] from Operation: 78-15=63
Current State: 42:[99, 66, 63], Operations: ['78-15=63']
Exploring Operation: 66*63=4158, Resulting Numbers: [99, 4158]
Generated Node #3: [99, 4158] from Operation: 66*63=4158
Current State: 42:[99, 4158], Operations: ['78-15=63', '66*63=4158']
Exploring Operation: 4158/99=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
3,
25,
7,
37
] | 22 | [
"25-3=22",
"7+37=44",
"44-22=22"
] | Current State: 22:[3, 25, 7, 37], Operations: []
Exploring Operation: 25-3=22, Resulting Numbers: [7, 37, 22]
Generated Node #2: [7, 37, 22] from Operation: 25-3=22
Current State: 22:[7, 37, 22], Operations: ['25-3=22']
Exploring Operation: 7+37=44, Resulting Numbers: [22, 44]
Generated Node #3: [22, 44] from Operation: 7+37=44
Current State: 22:[22, 44], Operations: ['25-3=22', '7+37=44']
Exploring Operation: 44-22=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
54,
66,
2,
78
] | 36 | [
"54+66=120",
"2*78=156",
"156-120=36"
] | Current State: 36:[54, 66, 2, 78], Operations: []
Exploring Operation: 54+66=120, Resulting Numbers: [2, 78, 120]
Generated Node #2: [2, 78, 120] from Operation: 54+66=120
Current State: 36:[2, 78, 120], Operations: ['54+66=120']
Exploring Operation: 2*78=156, Resulting Numbers: [120, 156]
Generated Node #3: [120, 156] from Operation: 2*78=156
Current State: 36:[120, 156], Operations: ['54+66=120', '2*78=156']
Exploring Operation: 156-120=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
65,
39,
84,
35
] | 23 | [
"65-39=26",
"84-35=49",
"49-26=23"
] | Current State: 23:[65, 39, 84, 35], Operations: []
Exploring Operation: 65-39=26, Resulting Numbers: [84, 35, 26]
Generated Node #2: [84, 35, 26] from Operation: 65-39=26
Current State: 23:[84, 35, 26], Operations: ['65-39=26']
Exploring Operation: 84-35=49, Resulting Numbers: [26, 49]
Generated Node #3: [26, 49] from Operation: 84-35=49
Current State: 23:[26, 49], Operations: ['65-39=26', '84-35=49']
Exploring Operation: 49-26=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
11,
15,
58,
55
] | 34 | [
"58-55=3",
"15*3=45",
"45-11=34"
] | Current State: 34:[11, 15, 58, 55], Operations: []
Exploring Operation: 58-55=3, Resulting Numbers: [11, 15, 3]
Generated Node #2: [11, 15, 3] from Operation: 58-55=3
Current State: 34:[11, 15, 3], Operations: ['58-55=3']
Exploring Operation: 15*3=45, Resulting Numbers: [11, 45]
Generated Node #3: [11, 45] from Operation: 15*3=45
Current State: 34:[11, 45], Operations: ['58-55=3', '15*3=45']
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
17,
88,
49,
92
] | 70 | [
"88-17=71",
"49+92=141",
"141-71=70"
] | Current State: 70:[17, 88, 49, 92], Operations: []
Exploring Operation: 88-17=71, Resulting Numbers: [49, 92, 71]
Generated Node #2: [49, 92, 71] from Operation: 88-17=71
Current State: 70:[49, 92, 71], Operations: ['88-17=71']
Exploring Operation: 49+92=141, Resulting Numbers: [71, 141]
Generated Node #3: [71, 141] from Operation: 49+92=141
Current State: 70:[71, 141], Operations: ['88-17=71', '49+92=141']
Exploring Operation: 141-71=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
66,
94,
46,
20
] | 73 | [
"94+46=140",
"140/20=7",
"66+7=73"
] | Current State: 73:[66, 94, 46, 20], Operations: []
Exploring Operation: 94+46=140, Resulting Numbers: [66, 20, 140]
Generated Node #2: [66, 20, 140] from Operation: 94+46=140
Current State: 73:[66, 20, 140], Operations: ['94+46=140']
Exploring Operation: 140/20=7, Resulting Numbers: [66, 7]
Generated Node #3: [66, 7] from Operation: 140/20=7
Current State: 73:[66, 7], Operations: ['94+46=140', '140/20=7']
Exploring Operation: 66+7=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
36,
16,
56,
88
] | 90 | [
"16+56=72",
"72/36=2",
"88+2=90"
] | Current State: 90:[36, 16, 56, 88], Operations: []
Exploring Operation: 16+56=72, Resulting Numbers: [36, 88, 72]
Generated Node #2: [36, 88, 72] from Operation: 16+56=72
Current State: 90:[36, 88, 72], Operations: ['16+56=72']
Exploring Operation: 72/36=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 72/36=2
Current State: 90:[88, 2], Operations: ['16+56=72', '72/36=2']
Exploring Operation: 88+2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
50,
41,
15,
82
] | 88 | [
"50-41=9",
"15+82=97",
"97-9=88"
] | Current State: 88:[50, 41, 15, 82], Operations: []
Exploring Operation: 50-41=9, Resulting Numbers: [15, 82, 9]
Generated Node #2: [15, 82, 9] from Operation: 50-41=9
Current State: 88:[15, 82, 9], Operations: ['50-41=9']
Exploring Operation: 15+82=97, Resulting Numbers: [9, 97]
Generated Node #3: [9, 97] from Operation: 15+82=97
Current State: 88:[9, 97], Operations: ['50-41=9', '15+82=97']
Exploring Operation: 97-9=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
11,
22,
14,
28
] | 21 | [
"22/11=2",
"14+28=42",
"42/2=21"
] | Current State: 21:[11, 22, 14, 28], Operations: []
Exploring Operation: 22/11=2, Resulting Numbers: [14, 28, 2]
Generated Node #2: [14, 28, 2] from Operation: 22/11=2
Current State: 21:[14, 28, 2], Operations: ['22/11=2']
Exploring Operation: 14+28=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 14+28=42
Current State: 21:[2, 42], Operations: ['22/11=2', '14+28=42']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
83,
93,
3,
89
] | 91 | [
"83+93=176",
"3*89=267",
"267-176=91"
] | Current State: 91:[83, 93, 3, 89], Operations: []
Exploring Operation: 83+93=176, Resulting Numbers: [3, 89, 176]
Generated Node #2: [3, 89, 176] from Operation: 83+93=176
Current State: 91:[3, 89, 176], Operations: ['83+93=176']
Exploring Operation: 3*89=267, Resulting Numbers: [176, 267]
Generated Node #3: [176, 267] from Operation: 3*89=267
Current State: 91:[176, 267], Operations: ['83+93=176', '3*89=267']
Exploring Operation: 267-176=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
78,
57,
23,
27
] | 71 | [
"78-57=21",
"23+27=50",
"21+50=71"
] | Current State: 71:[78, 57, 23, 27], Operations: []
Exploring Operation: 78-57=21, Resulting Numbers: [23, 27, 21]
Generated Node #2: [23, 27, 21] from Operation: 78-57=21
Current State: 71:[23, 27, 21], Operations: ['78-57=21']
Exploring Operation: 23+27=50, Resulting Numbers: [21, 50]
Generated Node #3: [21, 50] from Operation: 23+27=50
Current State: 71:[21, 50], Operations: ['78-57=21', '23+27=50']
Exploring Operation: 21+50=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
45,
67,
42,
39
] | 69 | [
"45+39=84",
"84/42=2",
"67+2=69"
] | Current State: 69:[45, 67, 42, 39], Operations: []
Exploring Operation: 45+39=84, Resulting Numbers: [67, 42, 84]
Generated Node #2: [67, 42, 84] from Operation: 45+39=84
Current State: 69:[67, 42, 84], Operations: ['45+39=84']
Exploring Operation: 84/42=2, Resulting Numbers: [67, 2]
Generated Node #3: [67, 2] from Operation: 84/42=2
Current State: 69:[67, 2], Operations: ['45+39=84', '84/42=2']
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
50,
24,
15,
45
] | 56 | [
"50-24=26",
"45-15=30",
"26+30=56"
] | Current State: 56:[50, 24, 15, 45], Operations: []
Exploring Operation: 50-24=26, Resulting Numbers: [15, 45, 26]
Generated Node #2: [15, 45, 26] from Operation: 50-24=26
Current State: 56:[15, 45, 26], Operations: ['50-24=26']
Exploring Operation: 45-15=30, Resulting Numbers: [26, 30]
Generated Node #3: [26, 30] from Operation: 45-15=30
Current State: 56:[26, 30], Operations: ['50-24=26', '45-15=30']
Exploring Operation: 26+30=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
19,
98,
71,
55
] | 63 | [
"98-19=79",
"71-55=16",
"79-16=63"
] | Current State: 63:[19, 98, 71, 55], Operations: []
Exploring Operation: 98-19=79, Resulting Numbers: [71, 55, 79]
Generated Node #2: [71, 55, 79] from Operation: 98-19=79
Current State: 63:[71, 55, 79], Operations: ['98-19=79']
Exploring Operation: 71-55=16, Resulting Numbers: [79, 16]
Generated Node #3: [79, 16] from Operation: 71-55=16
Current State: 63:[79, 16], Operations: ['98-19=79', '71-55=16']
Exploring Operation: 79-16=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
34,
9,
48,
42
] | 72 | [
"9+42=51",
"48*51=2448",
"2448/34=72"
] | Current State: 72:[34, 9, 48, 42], Operations: []
Exploring Operation: 9+42=51, Resulting Numbers: [34, 48, 51]
Generated Node #2: [34, 48, 51] from Operation: 9+42=51
Current State: 72:[34, 48, 51], Operations: ['9+42=51']
Exploring Operation: 48*51=2448, Resulting Numbers: [34, 2448]
Generated Node #3: [34, 2448] from Operation: 48*51=2448
Current State: 72:[34, 2448], Operations: ['9+42=51', '48*51=2448']
Exploring Operation: 2448/34=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
75,
40,
16,
43
] | 20 | [
"75-43=32",
"40*16=640",
"640/32=20"
] | Current State: 20:[75, 40, 16, 43], Operations: []
Exploring Operation: 75-43=32, Resulting Numbers: [40, 16, 32]
Generated Node #2: [40, 16, 32] from Operation: 75-43=32
Current State: 20:[40, 16, 32], Operations: ['75-43=32']
Exploring Operation: 40*16=640, Resulting Numbers: [32, 640]
Generated Node #3: [32, 640] from Operation: 40*16=640
Current State: 20:[32, 640], Operations: ['75-43=32', '40*16=640']
Exploring Operation: 640/32=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
13,
90,
31,
5
] | 62 | [
"13+31=44",
"90/5=18",
"44+18=62"
] | Current State: 62:[13, 90, 31, 5], Operations: []
Exploring Operation: 13+31=44, Resulting Numbers: [90, 5, 44]
Generated Node #2: [90, 5, 44] from Operation: 13+31=44
Current State: 62:[90, 5, 44], Operations: ['13+31=44']
Exploring Operation: 90/5=18, Resulting Numbers: [44, 18]
Generated Node #3: [44, 18] from Operation: 90/5=18
Current State: 62:[44, 18], Operations: ['13+31=44', '90/5=18']
Exploring Operation: 44+18=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
40,
2,
15,
44
] | 57 | [
"40+44=84",
"84/2=42",
"15+42=57"
] | Current State: 57:[40, 2, 15, 44], Operations: []
Exploring Operation: 40+44=84, Resulting Numbers: [2, 15, 84]
Generated Node #2: [2, 15, 84] from Operation: 40+44=84
Current State: 57:[2, 15, 84], Operations: ['40+44=84']
Exploring Operation: 84/2=42, Resulting Numbers: [15, 42]
Generated Node #3: [15, 42] from Operation: 84/2=42
Current State: 57:[15, 42], Operations: ['40+44=84', '84/2=42']
Exploring Operation: 15+42=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
3,
58,
28,
40
] | 43 | [
"58-3=55",
"40-28=12",
"55-12=43"
] | Current State: 43:[3, 58, 28, 40], Operations: []
Exploring Operation: 58-3=55, Resulting Numbers: [28, 40, 55]
Generated Node #2: [28, 40, 55] from Operation: 58-3=55
Current State: 43:[28, 40, 55], Operations: ['58-3=55']
Exploring Operation: 40-28=12, Resulting Numbers: [55, 12]
Generated Node #3: [55, 12] from Operation: 40-28=12
Current State: 43:[55, 12], Operations: ['58-3=55', '40-28=12']
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
7,
24,
20,
82
] | 18 | [
"24+20=44",
"82+44=126",
"126/7=18"
] | Current State: 18:[7, 24, 20, 82], Operations: []
Exploring Operation: 24+20=44, Resulting Numbers: [7, 82, 44]
Generated Node #2: [7, 82, 44] from Operation: 24+20=44
Current State: 18:[7, 82, 44], Operations: ['24+20=44']
Exploring Operation: 82+44=126, Resulting Numbers: [7, 126]
Generated Node #3: [7, 126] from Operation: 82+44=126
Current State: 18:[7, 126], Operations: ['24+20=44', '82+44=126']
Exploring Operation: 126/7=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
73,
24,
90,
93
] | 81 | [
"93-90=3",
"24/3=8",
"73+8=81"
] | Current State: 81:[73, 24, 90, 93], Operations: []
Exploring Operation: 93-90=3, Resulting Numbers: [73, 24, 3]
Generated Node #2: [73, 24, 3] from Operation: 93-90=3
Current State: 81:[73, 24, 3], Operations: ['93-90=3']
Exploring Operation: 24/3=8, Resulting Numbers: [73, 8]
Generated Node #3: [73, 8] from Operation: 24/3=8
Current State: 81:[73, 8], Operations: ['93-90=3', '24/3=8']
Exploring Operation: 73+8=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
95,
15,
60,
93
] | 43 | [
"95+15=110",
"60+93=153",
"153-110=43"
] | Current State: 43:[95, 15, 60, 93], Operations: []
Exploring Operation: 95+15=110, Resulting Numbers: [60, 93, 110]
Generated Node #2: [60, 93, 110] from Operation: 95+15=110
Current State: 43:[60, 93, 110], Operations: ['95+15=110']
Exploring Operation: 60+93=153, Resulting Numbers: [110, 153]
Generated Node #3: [110, 153] from Operation: 60+93=153
Current State: 43:[110, 153], Operations: ['95+15=110', '60+93=153']
Exploring Operation: 153-110=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
60,
77,
30,
99
] | 86 | [
"77-60=17",
"99-30=69",
"17+69=86"
] | Current State: 86:[60, 77, 30, 99], Operations: []
Exploring Operation: 77-60=17, Resulting Numbers: [30, 99, 17]
Generated Node #2: [30, 99, 17] from Operation: 77-60=17
Current State: 86:[30, 99, 17], Operations: ['77-60=17']
Exploring Operation: 99-30=69, Resulting Numbers: [17, 69]
Generated Node #3: [17, 69] from Operation: 99-30=69
Current State: 86:[17, 69], Operations: ['77-60=17', '99-30=69']
Exploring Operation: 17+69=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
78,
27,
20,
26
] | 50 | [
"78/26=3",
"27+20=47",
"3+47=50"
] | Current State: 50:[78, 27, 20, 26], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [27, 20, 3]
Generated Node #2: [27, 20, 3] from Operation: 78/26=3
Current State: 50:[27, 20, 3], Operations: ['78/26=3']
Exploring Operation: 27+20=47, Resulting Numbers: [3, 47]
Generated Node #3: [3, 47] from Operation: 27+20=47
Current State: 50:[3, 47], Operations: ['78/26=3', '27+20=47']
Exploring Operation: 3+47=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
78,
77,
4,
11
] | 75 | [
"78+4=82",
"77/11=7",
"82-7=75"
] | Current State: 75:[78, 77, 4, 11], Operations: []
Exploring Operation: 78+4=82, Resulting Numbers: [77, 11, 82]
Generated Node #2: [77, 11, 82] from Operation: 78+4=82
Current State: 75:[77, 11, 82], Operations: ['78+4=82']
Exploring Operation: 77/11=7, Resulting Numbers: [82, 7]
Generated Node #3: [82, 7] from Operation: 77/11=7
Current State: 75:[82, 7], Operations: ['78+4=82', '77/11=7']
Exploring Operation: 82-7=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
59,
72,
55,
85
] | 52 | [
"59-55=4",
"85-72=13",
"4*13=52"
] | Current State: 52:[59, 72, 55, 85], Operations: []
Exploring Operation: 59-55=4, Resulting Numbers: [72, 85, 4]
Generated Node #2: [72, 85, 4] from Operation: 59-55=4
Current State: 52:[72, 85, 4], Operations: ['59-55=4']
Exploring Operation: 85-72=13, Resulting Numbers: [4, 13]
Generated Node #3: [4, 13] from Operation: 85-72=13
Current State: 52:[4, 13], Operations: ['59-55=4', '85-72=13']
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
73,
48,
4,
87
] | 88 | [
"73+87=160",
"160/4=40",
"48+40=88"
] | Current State: 88:[73, 48, 4, 87], Operations: []
Exploring Operation: 73+87=160, Resulting Numbers: [48, 4, 160]
Generated Node #2: [48, 4, 160] from Operation: 73+87=160
Current State: 88:[48, 4, 160], Operations: ['73+87=160']
Exploring Operation: 160/4=40, Resulting Numbers: [48, 40]
Generated Node #3: [48, 40] from Operation: 160/4=40
Current State: 88:[48, 40], Operations: ['73+87=160', '160/4=40']
Exploring Operation: 48+40=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
44,
8,
49,
59
] | 26 | [
"44-8=36",
"59-49=10",
"36-10=26"
] | Current State: 26:[44, 8, 49, 59], Operations: []
Exploring Operation: 44-8=36, Resulting Numbers: [49, 59, 36]
Generated Node #2: [49, 59, 36] from Operation: 44-8=36
Current State: 26:[49, 59, 36], Operations: ['44-8=36']
Exploring Operation: 59-49=10, Resulting Numbers: [36, 10]
Generated Node #3: [36, 10] from Operation: 59-49=10
Current State: 26:[36, 10], Operations: ['44-8=36', '59-49=10']
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
66,
66,
48,
45
] | 93 | [
"66-66=0",
"48+45=93",
"0+93=93"
] | Current State: 93:[66, 66, 48, 45], Operations: []
Exploring Operation: 66-66=0, Resulting Numbers: [48, 45, 0]
Generated Node #2: [48, 45, 0] from Operation: 66-66=0
Current State: 93:[48, 45, 0], Operations: ['66-66=0']
Exploring Operation: 48+45=93, Resulting Numbers: [0, 93]
Generated Node #3: [0, 93] from Operation: 48+45=93
Current State: 93:[0, 93], Operations: ['66-66=0', '48+45=93']
Exploring Operation: 0+93=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
5,
55,
39,
3
] | 67 | [
"55-5=50",
"39*3=117",
"117-50=67"
] | Current State: 67:[5, 55, 39, 3], Operations: []
Exploring Operation: 55-5=50, Resulting Numbers: [39, 3, 50]
Generated Node #2: [39, 3, 50] from Operation: 55-5=50
Current State: 67:[39, 3, 50], Operations: ['55-5=50']
Exploring Operation: 39*3=117, Resulting Numbers: [50, 117]
Generated Node #3: [50, 117] from Operation: 39*3=117
Current State: 67:[50, 117], Operations: ['55-5=50', '39*3=117']
Exploring Operation: 117-50=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
65,
63,
52,
76
] | 69 | [
"76-63=13",
"52/13=4",
"65+4=69"
] | Current State: 69:[65, 63, 52, 76], Operations: []
Exploring Operation: 76-63=13, Resulting Numbers: [65, 52, 13]
Generated Node #2: [65, 52, 13] from Operation: 76-63=13
Current State: 69:[65, 52, 13], Operations: ['76-63=13']
Exploring Operation: 52/13=4, Resulting Numbers: [65, 4]
Generated Node #3: [65, 4] from Operation: 52/13=4
Current State: 69:[65, 4], Operations: ['76-63=13', '52/13=4']
Exploring Operation: 65+4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
28,
86,
67,
62
] | 53 | [
"86-28=58",
"67-62=5",
"58-5=53"
] | Current State: 53:[28, 86, 67, 62], Operations: []
Exploring Operation: 86-28=58, Resulting Numbers: [67, 62, 58]
Generated Node #2: [67, 62, 58] from Operation: 86-28=58
Current State: 53:[67, 62, 58], Operations: ['86-28=58']
Exploring Operation: 67-62=5, Resulting Numbers: [58, 5]
Generated Node #3: [58, 5] from Operation: 67-62=5
Current State: 53:[58, 5], Operations: ['86-28=58', '67-62=5']
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
62,
23,
59,
20
] | 89 | [
"62-59=3",
"23*3=69",
"20+69=89"
] | Current State: 89:[62, 23, 59, 20], Operations: []
Exploring Operation: 62-59=3, Resulting Numbers: [23, 20, 3]
Generated Node #2: [23, 20, 3] from Operation: 62-59=3
Current State: 89:[23, 20, 3], Operations: ['62-59=3']
Exploring Operation: 23*3=69, Resulting Numbers: [20, 69]
Generated Node #3: [20, 69] from Operation: 23*3=69
Current State: 89:[20, 69], Operations: ['62-59=3', '23*3=69']
Exploring Operation: 20+69=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
4,
58,
65,
30
] | 82 | [
"65-30=35",
"4*35=140",
"140-58=82"
] | Current State: 82:[4, 58, 65, 30], Operations: []
Exploring Operation: 65-30=35, Resulting Numbers: [4, 58, 35]
Generated Node #2: [4, 58, 35] from Operation: 65-30=35
Current State: 82:[4, 58, 35], Operations: ['65-30=35']
Exploring Operation: 4*35=140, Resulting Numbers: [58, 140]
Generated Node #3: [58, 140] from Operation: 4*35=140
Current State: 82:[58, 140], Operations: ['65-30=35', '4*35=140']
Exploring Operation: 140-58=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
39,
30,
14,
10
] | 36 | [
"39-30=9",
"14-10=4",
"9*4=36"
] | Current State: 36:[39, 30, 14, 10], Operations: []
Exploring Operation: 39-30=9, Resulting Numbers: [14, 10, 9]
Generated Node #2: [14, 10, 9] from Operation: 39-30=9
Current State: 36:[14, 10, 9], Operations: ['39-30=9']
Exploring Operation: 14-10=4, Resulting Numbers: [9, 4]
Generated Node #3: [9, 4] from Operation: 14-10=4
Current State: 36:[9, 4], Operations: ['39-30=9', '14-10=4']
Exploring Operation: 9*4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
68,
91,
27,
96
] | 100 | [
"91-68=23",
"27+96=123",
"123-23=100"
] | Current State: 100:[68, 91, 27, 96], Operations: []
Exploring Operation: 91-68=23, Resulting Numbers: [27, 96, 23]
Generated Node #2: [27, 96, 23] from Operation: 91-68=23
Current State: 100:[27, 96, 23], Operations: ['91-68=23']
Exploring Operation: 27+96=123, Resulting Numbers: [23, 123]
Generated Node #3: [23, 123] from Operation: 27+96=123
Current State: 100:[23, 123], Operations: ['91-68=23', '27+96=123']
Exploring Operation: 123-23=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
51,
5,
70,
36
] | 90 | [
"51+5=56",
"70-36=34",
"56+34=90"
] | Current State: 90:[51, 5, 70, 36], Operations: []
Exploring Operation: 51+5=56, Resulting Numbers: [70, 36, 56]
Generated Node #2: [70, 36, 56] from Operation: 51+5=56
Current State: 90:[70, 36, 56], Operations: ['51+5=56']
Exploring Operation: 70-36=34, Resulting Numbers: [56, 34]
Generated Node #3: [56, 34] from Operation: 70-36=34
Current State: 90:[56, 34], Operations: ['51+5=56', '70-36=34']
Exploring Operation: 56+34=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
48,
83,
26,
65
] | 92 | [
"48+83=131",
"65-26=39",
"131-39=92"
] | Current State: 92:[48, 83, 26, 65], Operations: []
Exploring Operation: 48+83=131, Resulting Numbers: [26, 65, 131]
Generated Node #2: [26, 65, 131] from Operation: 48+83=131
Current State: 92:[26, 65, 131], Operations: ['48+83=131']
Exploring Operation: 65-26=39, Resulting Numbers: [131, 39]
Generated Node #3: [131, 39] from Operation: 65-26=39
Current State: 92:[131, 39], Operations: ['48+83=131', '65-26=39']
Exploring Operation: 131-39=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
25,
88,
28,
4
] | 54 | [
"88+28=116",
"116/4=29",
"25+29=54"
] | Current State: 54:[25, 88, 28, 4], Operations: []
Exploring Operation: 88+28=116, Resulting Numbers: [25, 4, 116]
Generated Node #2: [25, 4, 116] from Operation: 88+28=116
Current State: 54:[25, 4, 116], Operations: ['88+28=116']
Exploring Operation: 116/4=29, Resulting Numbers: [25, 29]
Generated Node #3: [25, 29] from Operation: 116/4=29
Current State: 54:[25, 29], Operations: ['88+28=116', '116/4=29']
Exploring Operation: 25+29=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
98,
53,
67,
13
] | 20 | [
"67-53=14",
"98/14=7",
"13+7=20"
] | Current State: 20:[98, 53, 67, 13], Operations: []
Exploring Operation: 67-53=14, Resulting Numbers: [98, 13, 14]
Generated Node #2: [98, 13, 14] from Operation: 67-53=14
Current State: 20:[98, 13, 14], Operations: ['67-53=14']
Exploring Operation: 98/14=7, Resulting Numbers: [13, 7]
Generated Node #3: [13, 7] from Operation: 98/14=7
Current State: 20:[13, 7], Operations: ['67-53=14', '98/14=7']
Exploring Operation: 13+7=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
21,
22,
90,
57
] | 33 | [
"22-21=1",
"90-57=33",
"1*33=33"
] | Current State: 33:[21, 22, 90, 57], Operations: []
Exploring Operation: 22-21=1, Resulting Numbers: [90, 57, 1]
Generated Node #2: [90, 57, 1] from Operation: 22-21=1
Current State: 33:[90, 57, 1], Operations: ['22-21=1']
Exploring Operation: 90-57=33, Resulting Numbers: [1, 33]
Generated Node #3: [1, 33] from Operation: 90-57=33
Current State: 33:[1, 33], Operations: ['22-21=1', '90-57=33']
Exploring Operation: 1*33=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
7,
92,
63,
13
] | 41 | [
"7*63=441",
"92+441=533",
"533/13=41"
] | Current State: 41:[7, 92, 63, 13], Operations: []
Exploring Operation: 7*63=441, Resulting Numbers: [92, 13, 441]
Generated Node #2: [92, 13, 441] from Operation: 7*63=441
Current State: 41:[92, 13, 441], Operations: ['7*63=441']
Exploring Operation: 92+441=533, Resulting Numbers: [13, 533]
Generated Node #3: [13, 533] from Operation: 92+441=533
Current State: 41:[13, 533], Operations: ['7*63=441', '92+441=533']
Exploring Operation: 533/13=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
30,
90,
39,
11
] | 10 | [
"90-30=60",
"39+11=50",
"60-50=10"
] | Current State: 10:[30, 90, 39, 11], Operations: []
Exploring Operation: 90-30=60, Resulting Numbers: [39, 11, 60]
Generated Node #2: [39, 11, 60] from Operation: 90-30=60
Current State: 10:[39, 11, 60], Operations: ['90-30=60']
Exploring Operation: 39+11=50, Resulting Numbers: [60, 50]
Generated Node #3: [60, 50] from Operation: 39+11=50
Current State: 10:[60, 50], Operations: ['90-30=60', '39+11=50']
Exploring Operation: 60-50=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
23,
81,
57,
27
] | 88 | [
"81-23=58",
"57-27=30",
"58+30=88"
] | Current State: 88:[23, 81, 57, 27], Operations: []
Exploring Operation: 81-23=58, Resulting Numbers: [57, 27, 58]
Generated Node #2: [57, 27, 58] from Operation: 81-23=58
Current State: 88:[57, 27, 58], Operations: ['81-23=58']
Exploring Operation: 57-27=30, Resulting Numbers: [58, 30]
Generated Node #3: [58, 30] from Operation: 57-27=30
Current State: 88:[58, 30], Operations: ['81-23=58', '57-27=30']
Exploring Operation: 58+30=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
29,
77,
6,
5
] | 78 | [
"77-29=48",
"6*5=30",
"48+30=78"
] | Current State: 78:[29, 77, 6, 5], Operations: []
Exploring Operation: 77-29=48, Resulting Numbers: [6, 5, 48]
Generated Node #2: [6, 5, 48] from Operation: 77-29=48
Current State: 78:[6, 5, 48], Operations: ['77-29=48']
Exploring Operation: 6*5=30, Resulting Numbers: [48, 30]
Generated Node #3: [48, 30] from Operation: 6*5=30
Current State: 78:[48, 30], Operations: ['77-29=48', '6*5=30']
Exploring Operation: 48+30=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
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