nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
99,
5,
5,
85
] | 45 | [
"99-5=94",
"94-85=9",
"5*9=45"
] | Current State: 45:[99, 5, 5, 85], Operations: []
Exploring Operation: 99-5=94, Resulting Numbers: [85, 94]
Generated Node #2: [85, 94] from Operation: 99-5=94
Current State: 45:[85, 94], Operations: ['99-5=94']
Exploring Operation: 94-85=9, Resulting Numbers: [9]
9,45 equal: Goal Reached
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
27,
5,
25,
42
] | 39 | [
"27-5=22",
"42-25=17",
"22+17=39"
] | Current State: 39:[27, 5, 25, 42], Operations: []
Exploring Operation: 27-5=22, Resulting Numbers: [25, 42, 22]
Generated Node #2: [25, 42, 22] from Operation: 27-5=22
Current State: 39:[25, 42, 22], Operations: ['27-5=22']
Exploring Operation: 42-25=17, Resulting Numbers: [22, 17]
Generated Node #3: [22, 17] from Operation: 42-25=17
Current State: 39:[22, 17], Operations: ['27-5=22', '42-25=17']
Exploring Operation: 22+17=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
56,
87,
80,
68
] | 19 | [
"87-56=31",
"80-68=12",
"31-12=19"
] | Current State: 19:[56, 87, 80, 68], Operations: []
Exploring Operation: 87-56=31, Resulting Numbers: [80, 68, 31]
Generated Node #2: [80, 68, 31] from Operation: 87-56=31
Current State: 19:[80, 68, 31], Operations: ['87-56=31']
Exploring Operation: 80-68=12, Resulting Numbers: [31, 12]
Generated Node #3: [31, 12] from Operation: 80-68=12
Current State: 19:[31, 12], Operations: ['87-56=31', '80-68=12']
Exploring Operation: 31-12=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
61,
72,
88,
32
] | 12 | [
"88-61=27",
"32*27=864",
"864/72=12"
] | Current State: 12:[61, 72, 88, 32], Operations: []
Exploring Operation: 88-61=27, Resulting Numbers: [72, 32, 27]
Generated Node #2: [72, 32, 27] from Operation: 88-61=27
Current State: 12:[72, 32, 27], Operations: ['88-61=27']
Exploring Operation: 32*27=864, Resulting Numbers: [72, 864]
Generated Node #3: [72, 864] from Operation: 32*27=864
Current State: 12:[72, 864], Operations: ['88-61=27', '32*27=864']
Exploring Operation: 864/72=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
83,
33,
90,
43
] | 69 | [
"83+33=116",
"90-43=47",
"116-47=69"
] | Current State: 69:[83, 33, 90, 43], Operations: []
Exploring Operation: 83+33=116, Resulting Numbers: [90, 43, 116]
Generated Node #2: [90, 43, 116] from Operation: 83+33=116
Current State: 69:[90, 43, 116], Operations: ['83+33=116']
Exploring Operation: 90-43=47, Resulting Numbers: [116, 47]
Generated Node #3: [116, 47] from Operation: 90-43=47
Current State: 69:[116, 47], Operations: ['83+33=116', '90-43=47']
Exploring Operation: 116-47=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
56,
58,
14,
7
] | 49 | [
"58-56=2",
"14*7=98",
"98/2=49"
] | Current State: 49:[56, 58, 14, 7], Operations: []
Exploring Operation: 58-56=2, Resulting Numbers: [14, 7, 2]
Generated Node #2: [14, 7, 2] from Operation: 58-56=2
Current State: 49:[14, 7, 2], Operations: ['58-56=2']
Exploring Operation: 14*7=98, Resulting Numbers: [2, 98]
Generated Node #3: [2, 98] from Operation: 14*7=98
Current State: 49:[2, 98], Operations: ['58-56=2', '14*7=98']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
8,
71,
83,
79
] | 67 | [
"71-8=63",
"83-79=4",
"63+4=67"
] | Current State: 67:[8, 71, 83, 79], Operations: []
Exploring Operation: 71-8=63, Resulting Numbers: [83, 79, 63]
Generated Node #2: [83, 79, 63] from Operation: 71-8=63
Current State: 67:[83, 79, 63], Operations: ['71-8=63']
Exploring Operation: 83-79=4, Resulting Numbers: [63, 4]
Generated Node #3: [63, 4] from Operation: 83-79=4
Current State: 67:[63, 4], Operations: ['71-8=63', '83-79=4']
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
52,
9,
2,
18
] | 13 | [
"52*9=468",
"2*18=36",
"468/36=13"
] | Current State: 13:[52, 9, 2, 18], Operations: []
Exploring Operation: 52*9=468, Resulting Numbers: [2, 18, 468]
Generated Node #2: [2, 18, 468] from Operation: 52*9=468
Current State: 13:[2, 18, 468], Operations: ['52*9=468']
Exploring Operation: 2*18=36, Resulting Numbers: [468, 36]
Generated Node #3: [468, 36] from Operation: 2*18=36
Current State: 13:[468, 36], Operations: ['52*9=468', '2*18=36']
Exploring Operation: 468/36=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
37,
99,
34,
62
] | 34 | [
"99-37=62",
"34+62=96",
"96-62=34"
] | Current State: 34:[37, 99, 34, 62], Operations: []
Exploring Operation: 99-37=62, Resulting Numbers: [34, 62, 62]
Generated Node #2: [34, 62, 62] from Operation: 99-37=62
Current State: 34:[34, 62, 62], Operations: ['99-37=62']
Exploring Operation: 34+62=96, Resulting Numbers: [96]
96,34 equal: Goal Reached
Exploring Operation: 96-62=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
35,
7,
68,
17
] | 57 | [
"35-7=28",
"68+17=85",
"85-28=57"
] | Current State: 57:[35, 7, 68, 17], Operations: []
Exploring Operation: 35-7=28, Resulting Numbers: [68, 17, 28]
Generated Node #2: [68, 17, 28] from Operation: 35-7=28
Current State: 57:[68, 17, 28], Operations: ['35-7=28']
Exploring Operation: 68+17=85, Resulting Numbers: [28, 85]
Generated Node #3: [28, 85] from Operation: 68+17=85
Current State: 57:[28, 85], Operations: ['35-7=28', '68+17=85']
Exploring Operation: 85-28=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
2,
24,
33,
21
] | 80 | [
"2+24=26",
"33+21=54",
"26+54=80"
] | Current State: 80:[2, 24, 33, 21], Operations: []
Exploring Operation: 2+24=26, Resulting Numbers: [33, 21, 26]
Generated Node #2: [33, 21, 26] from Operation: 2+24=26
Current State: 80:[33, 21, 26], Operations: ['2+24=26']
Exploring Operation: 33+21=54, Resulting Numbers: [26, 54]
Generated Node #3: [26, 54] from Operation: 33+21=54
Current State: 80:[26, 54], Operations: ['2+24=26', '33+21=54']
Exploring Operation: 26+54=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
4,
69,
98,
37
] | 32 | [
"98-69=29",
"37-29=8",
"4*8=32"
] | Current State: 32:[4, 69, 98, 37], Operations: []
Exploring Operation: 98-69=29, Resulting Numbers: [4, 37, 29]
Generated Node #2: [4, 37, 29] from Operation: 98-69=29
Current State: 32:[4, 37, 29], Operations: ['98-69=29']
Exploring Operation: 37-29=8, Resulting Numbers: [4, 8]
Generated Node #3: [4, 8] from Operation: 37-29=8
Current State: 32:[4, 8], Operations: ['98-69=29', '37-29=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
1,
65,
12,
11
] | 43 | [
"1+65=66",
"12+11=23",
"66-23=43"
] | Current State: 43:[1, 65, 12, 11], Operations: []
Exploring Operation: 1+65=66, Resulting Numbers: [12, 11, 66]
Generated Node #2: [12, 11, 66] from Operation: 1+65=66
Current State: 43:[12, 11, 66], Operations: ['1+65=66']
Exploring Operation: 12+11=23, Resulting Numbers: [66, 23]
Generated Node #3: [66, 23] from Operation: 12+11=23
Current State: 43:[66, 23], Operations: ['1+65=66', '12+11=23']
Exploring Operation: 66-23=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
54,
20,
6,
1
] | 66 | [
"54*1=54",
"20*6=120",
"120-54=66"
] | Current State: 66:[54, 20, 6, 1], Operations: []
Exploring Operation: 54*1=54, Resulting Numbers: [20, 6, 54]
Generated Node #2: [20, 6, 54] from Operation: 54*1=54
Current State: 66:[20, 6, 54], Operations: ['54*1=54']
Exploring Operation: 20*6=120, Resulting Numbers: [54, 120]
Generated Node #3: [54, 120] from Operation: 20*6=120
Current State: 66:[54, 120], Operations: ['54*1=54', '20*6=120']
Exploring Operation: 120-54=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
72,
89,
80,
86
] | 77 | [
"86-80=6",
"72/6=12",
"89-12=77"
] | Current State: 77:[72, 89, 80, 86], Operations: []
Exploring Operation: 86-80=6, Resulting Numbers: [72, 89, 6]
Generated Node #2: [72, 89, 6] from Operation: 86-80=6
Current State: 77:[72, 89, 6], Operations: ['86-80=6']
Exploring Operation: 72/6=12, Resulting Numbers: [89, 12]
Generated Node #3: [89, 12] from Operation: 72/6=12
Current State: 77:[89, 12], Operations: ['86-80=6', '72/6=12']
Exploring Operation: 89-12=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
76,
81,
91,
15
] | 71 | [
"81-76=5",
"91-15=76",
"76-5=71"
] | Current State: 71:[76, 81, 91, 15], Operations: []
Exploring Operation: 81-76=5, Resulting Numbers: [91, 15, 5]
Generated Node #2: [91, 15, 5] from Operation: 81-76=5
Current State: 71:[91, 15, 5], Operations: ['81-76=5']
Exploring Operation: 91-15=76, Resulting Numbers: [5, 76]
Generated Node #3: [5, 76] from Operation: 91-15=76
Current State: 71:[5, 76], Operations: ['81-76=5', '91-15=76']
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
34,
93,
26,
83
] | 70 | [
"34+93=127",
"83-26=57",
"127-57=70"
] | Current State: 70:[34, 93, 26, 83], Operations: []
Exploring Operation: 34+93=127, Resulting Numbers: [26, 83, 127]
Generated Node #2: [26, 83, 127] from Operation: 34+93=127
Current State: 70:[26, 83, 127], Operations: ['34+93=127']
Exploring Operation: 83-26=57, Resulting Numbers: [127, 57]
Generated Node #3: [127, 57] from Operation: 83-26=57
Current State: 70:[127, 57], Operations: ['34+93=127', '83-26=57']
Exploring Operation: 127-57=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
7,
36,
76,
84
] | 21 | [
"36-7=29",
"84-76=8",
"29-8=21"
] | Current State: 21:[7, 36, 76, 84], Operations: []
Exploring Operation: 36-7=29, Resulting Numbers: [76, 84, 29]
Generated Node #2: [76, 84, 29] from Operation: 36-7=29
Current State: 21:[76, 84, 29], Operations: ['36-7=29']
Exploring Operation: 84-76=8, Resulting Numbers: [29, 8]
Generated Node #3: [29, 8] from Operation: 84-76=8
Current State: 21:[29, 8], Operations: ['36-7=29', '84-76=8']
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
38,
16,
69,
46
] | 59 | [
"46-38=8",
"16*8=128",
"128-69=59"
] | Current State: 59:[38, 16, 69, 46], Operations: []
Exploring Operation: 46-38=8, Resulting Numbers: [16, 69, 8]
Generated Node #2: [16, 69, 8] from Operation: 46-38=8
Current State: 59:[16, 69, 8], Operations: ['46-38=8']
Exploring Operation: 16*8=128, Resulting Numbers: [69, 128]
Generated Node #3: [69, 128] from Operation: 16*8=128
Current State: 59:[69, 128], Operations: ['46-38=8', '16*8=128']
Exploring Operation: 128-69=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
81,
73,
21,
43
] | 72 | [
"81-73=8",
"21+43=64",
"8+64=72"
] | Current State: 72:[81, 73, 21, 43], Operations: []
Exploring Operation: 81-73=8, Resulting Numbers: [21, 43, 8]
Generated Node #2: [21, 43, 8] from Operation: 81-73=8
Current State: 72:[21, 43, 8], Operations: ['81-73=8']
Exploring Operation: 21+43=64, Resulting Numbers: [8, 64]
Generated Node #3: [8, 64] from Operation: 21+43=64
Current State: 72:[8, 64], Operations: ['81-73=8', '21+43=64']
Exploring Operation: 8+64=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
16,
22,
59,
48
] | 34 | [
"48/16=3",
"59-22=37",
"37-3=34"
] | Current State: 34:[16, 22, 59, 48], Operations: []
Exploring Operation: 48/16=3, Resulting Numbers: [22, 59, 3]
Generated Node #2: [22, 59, 3] from Operation: 48/16=3
Current State: 34:[22, 59, 3], Operations: ['48/16=3']
Exploring Operation: 59-22=37, Resulting Numbers: [3, 37]
Generated Node #3: [3, 37] from Operation: 59-22=37
Current State: 34:[3, 37], Operations: ['48/16=3', '59-22=37']
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
27,
90,
57,
48
] | 37 | [
"57-48=9",
"90/9=10",
"27+10=37"
] | Current State: 37:[27, 90, 57, 48], Operations: []
Exploring Operation: 57-48=9, Resulting Numbers: [27, 90, 9]
Generated Node #2: [27, 90, 9] from Operation: 57-48=9
Current State: 37:[27, 90, 9], Operations: ['57-48=9']
Exploring Operation: 90/9=10, Resulting Numbers: [27, 10]
Generated Node #3: [27, 10] from Operation: 90/9=10
Current State: 37:[27, 10], Operations: ['57-48=9', '90/9=10']
Exploring Operation: 27+10=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
12,
39,
52,
78
] | 27 | [
"39+78=117",
"12*117=1404",
"1404/52=27"
] | Current State: 27:[12, 39, 52, 78], Operations: []
Exploring Operation: 39+78=117, Resulting Numbers: [12, 52, 117]
Generated Node #2: [12, 52, 117] from Operation: 39+78=117
Current State: 27:[12, 52, 117], Operations: ['39+78=117']
Exploring Operation: 12*117=1404, Resulting Numbers: [52, 1404]
Generated Node #3: [52, 1404] from Operation: 12*117=1404
Current State: 27:[52, 1404], Operations: ['39+78=117', '12*117=1404']
Exploring Operation: 1404/52=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
6,
70,
66,
97
] | 95 | [
"70-6=64",
"97-66=31",
"64+31=95"
] | Current State: 95:[6, 70, 66, 97], Operations: []
Exploring Operation: 70-6=64, Resulting Numbers: [66, 97, 64]
Generated Node #2: [66, 97, 64] from Operation: 70-6=64
Current State: 95:[66, 97, 64], Operations: ['70-6=64']
Exploring Operation: 97-66=31, Resulting Numbers: [64, 31]
Generated Node #3: [64, 31] from Operation: 97-66=31
Current State: 95:[64, 31], Operations: ['70-6=64', '97-66=31']
Exploring Operation: 64+31=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
24,
60,
11,
57
] | 39 | [
"24-11=13",
"60-57=3",
"13*3=39"
] | Current State: 39:[24, 60, 11, 57], Operations: []
Exploring Operation: 24-11=13, Resulting Numbers: [60, 57, 13]
Generated Node #2: [60, 57, 13] from Operation: 24-11=13
Current State: 39:[60, 57, 13], Operations: ['24-11=13']
Exploring Operation: 60-57=3, Resulting Numbers: [13, 3]
Generated Node #3: [13, 3] from Operation: 60-57=3
Current State: 39:[13, 3], Operations: ['24-11=13', '60-57=3']
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
51,
48,
50,
19
] | 64 | [
"51-19=32",
"50-48=2",
"32*2=64"
] | Current State: 64:[51, 48, 50, 19], Operations: []
Exploring Operation: 51-19=32, Resulting Numbers: [48, 50, 32]
Generated Node #2: [48, 50, 32] from Operation: 51-19=32
Current State: 64:[48, 50, 32], Operations: ['51-19=32']
Exploring Operation: 50-48=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 50-48=2
Current State: 64:[32, 2], Operations: ['51-19=32', '50-48=2']
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
37,
70,
3,
14
] | 85 | [
"70-37=33",
"3*33=99",
"99-14=85"
] | Current State: 85:[37, 70, 3, 14], Operations: []
Exploring Operation: 70-37=33, Resulting Numbers: [3, 14, 33]
Generated Node #2: [3, 14, 33] from Operation: 70-37=33
Current State: 85:[3, 14, 33], Operations: ['70-37=33']
Exploring Operation: 3*33=99, Resulting Numbers: [14, 99]
Generated Node #3: [14, 99] from Operation: 3*33=99
Current State: 85:[14, 99], Operations: ['70-37=33', '3*33=99']
Exploring Operation: 99-14=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
32,
2,
93,
38
] | 67 | [
"32*2=64",
"93+38=131",
"131-64=67"
] | Current State: 67:[32, 2, 93, 38], Operations: []
Exploring Operation: 32*2=64, Resulting Numbers: [93, 38, 64]
Generated Node #2: [93, 38, 64] from Operation: 32*2=64
Current State: 67:[93, 38, 64], Operations: ['32*2=64']
Exploring Operation: 93+38=131, Resulting Numbers: [64, 131]
Generated Node #3: [64, 131] from Operation: 93+38=131
Current State: 67:[64, 131], Operations: ['32*2=64', '93+38=131']
Exploring Operation: 131-64=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
5,
23,
3,
62
] | 100 | [
"5*3=15",
"23+62=85",
"15+85=100"
] | Current State: 100:[5, 23, 3, 62], Operations: []
Exploring Operation: 5*3=15, Resulting Numbers: [23, 62, 15]
Generated Node #2: [23, 62, 15] from Operation: 5*3=15
Current State: 100:[23, 62, 15], Operations: ['5*3=15']
Exploring Operation: 23+62=85, Resulting Numbers: [15, 85]
Generated Node #3: [15, 85] from Operation: 23+62=85
Current State: 100:[15, 85], Operations: ['5*3=15', '23+62=85']
Exploring Operation: 15+85=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
78,
94,
53,
60
] | 33 | [
"53*60=3180",
"3180-78=3102",
"3102/94=33"
] | Current State: 33:[78, 94, 53, 60], Operations: []
Exploring Operation: 53*60=3180, Resulting Numbers: [78, 94, 3180]
Generated Node #2: [78, 94, 3180] from Operation: 53*60=3180
Current State: 33:[78, 94, 3180], Operations: ['53*60=3180']
Exploring Operation: 3180-78=3102, Resulting Numbers: [94, 3102]
Generated Node #3: [94, 3102] from Operation: 3180-78=3102
Current State: 33:[94, 3102], Operations: ['53*60=3180', '3180-78=3102']
Exploring Operation: 3102/94=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
2,
1,
47,
56
] | 40 | [
"1+47=48",
"2*48=96",
"96-56=40"
] | Current State: 40:[2, 1, 47, 56], Operations: []
Exploring Operation: 1+47=48, Resulting Numbers: [2, 56, 48]
Generated Node #2: [2, 56, 48] from Operation: 1+47=48
Current State: 40:[2, 56, 48], Operations: ['1+47=48']
Exploring Operation: 2*48=96, Resulting Numbers: [56, 96]
Generated Node #3: [56, 96] from Operation: 2*48=96
Current State: 40:[56, 96], Operations: ['1+47=48', '2*48=96']
Exploring Operation: 96-56=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
41,
96,
18,
38
] | 38 | [
"41-38=3",
"96+18=114",
"114/3=38"
] | Current State: 38:[41, 96, 18, 38], Operations: []
Exploring Operation: 41-38=3, Resulting Numbers: [96, 18, 3]
Generated Node #2: [96, 18, 3] from Operation: 41-38=3
Current State: 38:[96, 18, 3], Operations: ['41-38=3']
Exploring Operation: 96+18=114, Resulting Numbers: [3, 114]
Generated Node #3: [3, 114] from Operation: 96+18=114
Current State: 38:[3, 114], Operations: ['41-38=3', '96+18=114']
Exploring Operation: 114/3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
31,
34,
26,
48
] | 66 | [
"34-31=3",
"48-26=22",
"3*22=66"
] | Current State: 66:[31, 34, 26, 48], Operations: []
Exploring Operation: 34-31=3, Resulting Numbers: [26, 48, 3]
Generated Node #2: [26, 48, 3] from Operation: 34-31=3
Current State: 66:[26, 48, 3], Operations: ['34-31=3']
Exploring Operation: 48-26=22, Resulting Numbers: [3, 22]
Generated Node #3: [3, 22] from Operation: 48-26=22
Current State: 66:[3, 22], Operations: ['34-31=3', '48-26=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
81,
47,
83,
66
] | 14 | [
"83-81=2",
"66/2=33",
"47-33=14"
] | Current State: 14:[81, 47, 83, 66], Operations: []
Exploring Operation: 83-81=2, Resulting Numbers: [47, 66, 2]
Generated Node #2: [47, 66, 2] from Operation: 83-81=2
Current State: 14:[47, 66, 2], Operations: ['83-81=2']
Exploring Operation: 66/2=33, Resulting Numbers: [47, 33]
Generated Node #3: [47, 33] from Operation: 66/2=33
Current State: 14:[47, 33], Operations: ['83-81=2', '66/2=33']
Exploring Operation: 47-33=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
55,
17,
21,
2
] | 57 | [
"55+17=72",
"72/2=36",
"21+36=57"
] | Current State: 57:[55, 17, 21, 2], Operations: []
Exploring Operation: 55+17=72, Resulting Numbers: [21, 2, 72]
Generated Node #2: [21, 2, 72] from Operation: 55+17=72
Current State: 57:[21, 2, 72], Operations: ['55+17=72']
Exploring Operation: 72/2=36, Resulting Numbers: [21, 36]
Generated Node #3: [21, 36] from Operation: 72/2=36
Current State: 57:[21, 36], Operations: ['55+17=72', '72/2=36']
Exploring Operation: 21+36=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
10,
32,
12,
2
] | 25 | [
"10/2=5",
"32-12=20",
"5+20=25"
] | Current State: 25:[10, 32, 12, 2], Operations: []
Exploring Operation: 10/2=5, Resulting Numbers: [32, 12, 5]
Generated Node #2: [32, 12, 5] from Operation: 10/2=5
Current State: 25:[32, 12, 5], Operations: ['10/2=5']
Exploring Operation: 32-12=20, Resulting Numbers: [5, 20]
Generated Node #3: [5, 20] from Operation: 32-12=20
Current State: 25:[5, 20], Operations: ['10/2=5', '32-12=20']
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
32,
84,
17,
12
] | 20 | [
"84+12=96",
"96/32=3",
"17+3=20"
] | Current State: 20:[32, 84, 17, 12], Operations: []
Exploring Operation: 84+12=96, Resulting Numbers: [32, 17, 96]
Generated Node #2: [32, 17, 96] from Operation: 84+12=96
Current State: 20:[32, 17, 96], Operations: ['84+12=96']
Exploring Operation: 96/32=3, Resulting Numbers: [17, 3]
Generated Node #3: [17, 3] from Operation: 96/32=3
Current State: 20:[17, 3], Operations: ['84+12=96', '96/32=3']
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
3,
10,
96,
38
] | 65 | [
"10-3=7",
"96-38=58",
"7+58=65"
] | Current State: 65:[3, 10, 96, 38], Operations: []
Exploring Operation: 10-3=7, Resulting Numbers: [96, 38, 7]
Generated Node #2: [96, 38, 7] from Operation: 10-3=7
Current State: 65:[96, 38, 7], Operations: ['10-3=7']
Exploring Operation: 96-38=58, Resulting Numbers: [7, 58]
Generated Node #3: [7, 58] from Operation: 96-38=58
Current State: 65:[7, 58], Operations: ['10-3=7', '96-38=58']
Exploring Operation: 7+58=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
13,
92,
69,
79
] | 38 | [
"79-69=10",
"13*10=130",
"130-92=38"
] | Current State: 38:[13, 92, 69, 79], Operations: []
Exploring Operation: 79-69=10, Resulting Numbers: [13, 92, 10]
Generated Node #2: [13, 92, 10] from Operation: 79-69=10
Current State: 38:[13, 92, 10], Operations: ['79-69=10']
Exploring Operation: 13*10=130, Resulting Numbers: [92, 130]
Generated Node #3: [92, 130] from Operation: 13*10=130
Current State: 38:[92, 130], Operations: ['79-69=10', '13*10=130']
Exploring Operation: 130-92=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
43,
94,
23,
47
] | 27 | [
"94-43=51",
"47-23=24",
"51-24=27"
] | Current State: 27:[43, 94, 23, 47], Operations: []
Exploring Operation: 94-43=51, Resulting Numbers: [23, 47, 51]
Generated Node #2: [23, 47, 51] from Operation: 94-43=51
Current State: 27:[23, 47, 51], Operations: ['94-43=51']
Exploring Operation: 47-23=24, Resulting Numbers: [51, 24]
Generated Node #3: [51, 24] from Operation: 47-23=24
Current State: 27:[51, 24], Operations: ['94-43=51', '47-23=24']
Exploring Operation: 51-24=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
59,
27,
30,
61
] | 42 | [
"61-59=2",
"30/2=15",
"27+15=42"
] | Current State: 42:[59, 27, 30, 61], Operations: []
Exploring Operation: 61-59=2, Resulting Numbers: [27, 30, 2]
Generated Node #2: [27, 30, 2] from Operation: 61-59=2
Current State: 42:[27, 30, 2], Operations: ['61-59=2']
Exploring Operation: 30/2=15, Resulting Numbers: [27, 15]
Generated Node #3: [27, 15] from Operation: 30/2=15
Current State: 42:[27, 15], Operations: ['61-59=2', '30/2=15']
Exploring Operation: 27+15=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
39,
2,
82,
28
] | 58 | [
"82-39=43",
"2*43=86",
"86-28=58"
] | Current State: 58:[39, 2, 82, 28], Operations: []
Exploring Operation: 82-39=43, Resulting Numbers: [2, 28, 43]
Generated Node #2: [2, 28, 43] from Operation: 82-39=43
Current State: 58:[2, 28, 43], Operations: ['82-39=43']
Exploring Operation: 2*43=86, Resulting Numbers: [28, 86]
Generated Node #3: [28, 86] from Operation: 2*43=86
Current State: 58:[28, 86], Operations: ['82-39=43', '2*43=86']
Exploring Operation: 86-28=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
84,
52,
30,
94
] | 60 | [
"84*30=2520",
"94-52=42",
"2520/42=60"
] | Current State: 60:[84, 52, 30, 94], Operations: []
Exploring Operation: 84*30=2520, Resulting Numbers: [52, 94, 2520]
Generated Node #2: [52, 94, 2520] from Operation: 84*30=2520
Current State: 60:[52, 94, 2520], Operations: ['84*30=2520']
Exploring Operation: 94-52=42, Resulting Numbers: [2520, 42]
Generated Node #3: [2520, 42] from Operation: 94-52=42
Current State: 60:[2520, 42], Operations: ['84*30=2520', '94-52=42']
Exploring Operation: 2520/42=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
39,
54,
99,
53
] | 59 | [
"39+54=93",
"99+53=152",
"152-93=59"
] | Current State: 59:[39, 54, 99, 53], Operations: []
Exploring Operation: 39+54=93, Resulting Numbers: [99, 53, 93]
Generated Node #2: [99, 53, 93] from Operation: 39+54=93
Current State: 59:[99, 53, 93], Operations: ['39+54=93']
Exploring Operation: 99+53=152, Resulting Numbers: [93, 152]
Generated Node #3: [93, 152] from Operation: 99+53=152
Current State: 59:[93, 152], Operations: ['39+54=93', '99+53=152']
Exploring Operation: 152-93=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
80,
6,
31,
31
] | 80 | [
"31-31=0",
"6*0=0",
"80+0=80"
] | Current State: 80:[80, 6, 31, 31], Operations: []
Exploring Operation: 31-31=0, Resulting Numbers: [80, 6, 0]
Generated Node #2: [80, 6, 0] from Operation: 31-31=0
Current State: 80:[80, 6, 0], Operations: ['31-31=0']
Exploring Operation: 6*0=0, Resulting Numbers: [80, 0]
Generated Node #3: [80, 0] from Operation: 6*0=0
Current State: 80:[80, 0], Operations: ['31-31=0', '6*0=0']
Exploring Operation: 80+0=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
37,
78,
39,
57
] | 10 | [
"57-37=20",
"78/39=2",
"20/2=10"
] | Current State: 10:[37, 78, 39, 57], Operations: []
Exploring Operation: 57-37=20, Resulting Numbers: [78, 39, 20]
Generated Node #2: [78, 39, 20] from Operation: 57-37=20
Current State: 10:[78, 39, 20], Operations: ['57-37=20']
Exploring Operation: 78/39=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 78/39=2
Current State: 10:[20, 2], Operations: ['57-37=20', '78/39=2']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
67,
4,
53,
71
] | 89 | [
"67+4=71",
"71-53=18",
"71+18=89"
] | Current State: 89:[67, 4, 53, 71], Operations: []
Exploring Operation: 67+4=71, Resulting Numbers: [53, 71, 71]
Generated Node #2: [53, 71, 71] from Operation: 67+4=71
Current State: 89:[53, 71, 71], Operations: ['67+4=71']
Exploring Operation: 71-53=18, Resulting Numbers: [18]
18,89 equal: Goal Reached
Exploring Operation: 71+18=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
97,
93,
37,
24
] | 52 | [
"97-93=4",
"37-24=13",
"4*13=52"
] | Current State: 52:[97, 93, 37, 24], Operations: []
Exploring Operation: 97-93=4, Resulting Numbers: [37, 24, 4]
Generated Node #2: [37, 24, 4] from Operation: 97-93=4
Current State: 52:[37, 24, 4], Operations: ['97-93=4']
Exploring Operation: 37-24=13, Resulting Numbers: [4, 13]
Generated Node #3: [4, 13] from Operation: 37-24=13
Current State: 52:[4, 13], Operations: ['97-93=4', '37-24=13']
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
5,
49,
98,
10
] | 99 | [
"5*10=50",
"98-49=49",
"50+49=99"
] | Current State: 99:[5, 49, 98, 10], Operations: []
Exploring Operation: 5*10=50, Resulting Numbers: [49, 98, 50]
Generated Node #2: [49, 98, 50] from Operation: 5*10=50
Current State: 99:[49, 98, 50], Operations: ['5*10=50']
Exploring Operation: 98-49=49, Resulting Numbers: [50, 49]
Generated Node #3: [50, 49] from Operation: 98-49=49
Current State: 99:[50, 49], Operations: ['5*10=50', '98-49=49']
Exploring Operation: 50+49=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
85,
5,
64,
4
] | 84 | [
"85-5=80",
"80/4=20",
"64+20=84"
] | Current State: 84:[85, 5, 64, 4], Operations: []
Exploring Operation: 85-5=80, Resulting Numbers: [64, 4, 80]
Generated Node #2: [64, 4, 80] from Operation: 85-5=80
Current State: 84:[64, 4, 80], Operations: ['85-5=80']
Exploring Operation: 80/4=20, Resulting Numbers: [64, 20]
Generated Node #3: [64, 20] from Operation: 80/4=20
Current State: 84:[64, 20], Operations: ['85-5=80', '80/4=20']
Exploring Operation: 64+20=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
15,
80,
60,
42
] | 62 | [
"15*80=1200",
"1200/60=20",
"42+20=62"
] | Current State: 62:[15, 80, 60, 42], Operations: []
Exploring Operation: 15*80=1200, Resulting Numbers: [60, 42, 1200]
Generated Node #2: [60, 42, 1200] from Operation: 15*80=1200
Current State: 62:[60, 42, 1200], Operations: ['15*80=1200']
Exploring Operation: 1200/60=20, Resulting Numbers: [42, 20]
Generated Node #3: [42, 20] from Operation: 1200/60=20
Current State: 62:[42, 20], Operations: ['15*80=1200', '1200/60=20']
Exploring Operation: 42+20=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
19,
19,
6,
51
] | 45 | [
"19-19=0",
"51-6=45",
"0+45=45"
] | Current State: 45:[19, 19, 6, 51], Operations: []
Exploring Operation: 19-19=0, Resulting Numbers: [6, 51, 0]
Generated Node #2: [6, 51, 0] from Operation: 19-19=0
Current State: 45:[6, 51, 0], Operations: ['19-19=0']
Exploring Operation: 51-6=45, Resulting Numbers: [0, 45]
Generated Node #3: [0, 45] from Operation: 51-6=45
Current State: 45:[0, 45], Operations: ['19-19=0', '51-6=45']
Exploring Operation: 0+45=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
87,
83,
81,
90
] | 24 | [
"87+81=168",
"90-83=7",
"168/7=24"
] | Current State: 24:[87, 83, 81, 90], Operations: []
Exploring Operation: 87+81=168, Resulting Numbers: [83, 90, 168]
Generated Node #2: [83, 90, 168] from Operation: 87+81=168
Current State: 24:[83, 90, 168], Operations: ['87+81=168']
Exploring Operation: 90-83=7, Resulting Numbers: [168, 7]
Generated Node #3: [168, 7] from Operation: 90-83=7
Current State: 24:[168, 7], Operations: ['87+81=168', '90-83=7']
Exploring Operation: 168/7=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
10,
10,
70,
97
] | 27 | [
"10-10=0",
"97-70=27",
"0+27=27"
] | Current State: 27:[10, 10, 70, 97], Operations: []
Exploring Operation: 10-10=0, Resulting Numbers: [70, 97, 0]
Generated Node #2: [70, 97, 0] from Operation: 10-10=0
Current State: 27:[70, 97, 0], Operations: ['10-10=0']
Exploring Operation: 97-70=27, Resulting Numbers: [0, 27]
Generated Node #3: [0, 27] from Operation: 97-70=27
Current State: 27:[0, 27], Operations: ['10-10=0', '97-70=27']
Exploring Operation: 0+27=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
7,
20,
21,
42
] | 85 | [
"7*21=147",
"20+42=62",
"147-62=85"
] | Current State: 85:[7, 20, 21, 42], Operations: []
Exploring Operation: 7*21=147, Resulting Numbers: [20, 42, 147]
Generated Node #2: [20, 42, 147] from Operation: 7*21=147
Current State: 85:[20, 42, 147], Operations: ['7*21=147']
Exploring Operation: 20+42=62, Resulting Numbers: [147, 62]
Generated Node #3: [147, 62] from Operation: 20+42=62
Current State: 85:[147, 62], Operations: ['7*21=147', '20+42=62']
Exploring Operation: 147-62=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
83,
87,
97,
49
] | 44 | [
"87-83=4",
"97-49=48",
"48-4=44"
] | Current State: 44:[83, 87, 97, 49], Operations: []
Exploring Operation: 87-83=4, Resulting Numbers: [97, 49, 4]
Generated Node #2: [97, 49, 4] from Operation: 87-83=4
Current State: 44:[97, 49, 4], Operations: ['87-83=4']
Exploring Operation: 97-49=48, Resulting Numbers: [4, 48]
Generated Node #3: [4, 48] from Operation: 97-49=48
Current State: 44:[4, 48], Operations: ['87-83=4', '97-49=48']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
97,
9,
16,
67
] | 76 | [
"97-16=81",
"81/9=9",
"67+9=76"
] | Current State: 76:[97, 9, 16, 67], Operations: []
Exploring Operation: 97-16=81, Resulting Numbers: [9, 67, 81]
Generated Node #2: [9, 67, 81] from Operation: 97-16=81
Current State: 76:[9, 67, 81], Operations: ['97-16=81']
Exploring Operation: 81/9=9, Resulting Numbers: [67, 9]
Generated Node #3: [67, 9] from Operation: 81/9=9
Current State: 76:[67, 9], Operations: ['97-16=81', '81/9=9']
Exploring Operation: 67+9=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
2,
11,
22,
49
] | 41 | [
"11+22=33",
"49+33=82",
"82/2=41"
] | Current State: 41:[2, 11, 22, 49], Operations: []
Exploring Operation: 11+22=33, Resulting Numbers: [2, 49, 33]
Generated Node #2: [2, 49, 33] from Operation: 11+22=33
Current State: 41:[2, 49, 33], Operations: ['11+22=33']
Exploring Operation: 49+33=82, Resulting Numbers: [2, 82]
Generated Node #3: [2, 82] from Operation: 49+33=82
Current State: 41:[2, 82], Operations: ['11+22=33', '49+33=82']
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
2,
83,
20,
16
] | 85 | [
"83-2=81",
"20-16=4",
"81+4=85"
] | Current State: 85:[2, 83, 20, 16], Operations: []
Exploring Operation: 83-2=81, Resulting Numbers: [20, 16, 81]
Generated Node #2: [20, 16, 81] from Operation: 83-2=81
Current State: 85:[20, 16, 81], Operations: ['83-2=81']
Exploring Operation: 20-16=4, Resulting Numbers: [81, 4]
Generated Node #3: [81, 4] from Operation: 20-16=4
Current State: 85:[81, 4], Operations: ['83-2=81', '20-16=4']
Exploring Operation: 81+4=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
28,
95,
39,
7
] | 99 | [
"95-28=67",
"39-7=32",
"67+32=99"
] | Current State: 99:[28, 95, 39, 7], Operations: []
Exploring Operation: 95-28=67, Resulting Numbers: [39, 7, 67]
Generated Node #2: [39, 7, 67] from Operation: 95-28=67
Current State: 99:[39, 7, 67], Operations: ['95-28=67']
Exploring Operation: 39-7=32, Resulting Numbers: [67, 32]
Generated Node #3: [67, 32] from Operation: 39-7=32
Current State: 99:[67, 32], Operations: ['95-28=67', '39-7=32']
Exploring Operation: 67+32=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
15,
6,
51,
50
] | 47 | [
"51-6=45",
"45/15=3",
"50-3=47"
] | Current State: 47:[15, 6, 51, 50], Operations: []
Exploring Operation: 51-6=45, Resulting Numbers: [15, 50, 45]
Generated Node #2: [15, 50, 45] from Operation: 51-6=45
Current State: 47:[15, 50, 45], Operations: ['51-6=45']
Exploring Operation: 45/15=3, Resulting Numbers: [50, 3]
Generated Node #3: [50, 3] from Operation: 45/15=3
Current State: 47:[50, 3], Operations: ['51-6=45', '45/15=3']
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
85,
60,
98,
31
] | 16 | [
"85+60=145",
"98+31=129",
"145-129=16"
] | Current State: 16:[85, 60, 98, 31], Operations: []
Exploring Operation: 85+60=145, Resulting Numbers: [98, 31, 145]
Generated Node #2: [98, 31, 145] from Operation: 85+60=145
Current State: 16:[98, 31, 145], Operations: ['85+60=145']
Exploring Operation: 98+31=129, Resulting Numbers: [145, 129]
Generated Node #3: [145, 129] from Operation: 98+31=129
Current State: 16:[145, 129], Operations: ['85+60=145', '98+31=129']
Exploring Operation: 145-129=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
95,
13,
76,
24
] | 30 | [
"95-13=82",
"76-24=52",
"82-52=30"
] | Current State: 30:[95, 13, 76, 24], Operations: []
Exploring Operation: 95-13=82, Resulting Numbers: [76, 24, 82]
Generated Node #2: [76, 24, 82] from Operation: 95-13=82
Current State: 30:[76, 24, 82], Operations: ['95-13=82']
Exploring Operation: 76-24=52, Resulting Numbers: [82, 52]
Generated Node #3: [82, 52] from Operation: 76-24=52
Current State: 30:[82, 52], Operations: ['95-13=82', '76-24=52']
Exploring Operation: 82-52=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
4,
97,
38,
19
] | 82 | [
"4+97=101",
"38-19=19",
"101-19=82"
] | Current State: 82:[4, 97, 38, 19], Operations: []
Exploring Operation: 4+97=101, Resulting Numbers: [38, 19, 101]
Generated Node #2: [38, 19, 101] from Operation: 4+97=101
Current State: 82:[38, 19, 101], Operations: ['4+97=101']
Exploring Operation: 38-19=19, Resulting Numbers: [101, 19]
Generated Node #3: [101, 19] from Operation: 38-19=19
Current State: 82:[101, 19], Operations: ['4+97=101', '38-19=19']
Exploring Operation: 101-19=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
42,
51,
3,
7
] | 89 | [
"42+51=93",
"7-3=4",
"93-4=89"
] | Current State: 89:[42, 51, 3, 7], Operations: []
Exploring Operation: 42+51=93, Resulting Numbers: [3, 7, 93]
Generated Node #2: [3, 7, 93] from Operation: 42+51=93
Current State: 89:[3, 7, 93], Operations: ['42+51=93']
Exploring Operation: 7-3=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 7-3=4
Current State: 89:[93, 4], Operations: ['42+51=93', '7-3=4']
Exploring Operation: 93-4=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
59,
10,
22,
29
] | 25 | [
"59-29=30",
"30/10=3",
"22+3=25"
] | Current State: 25:[59, 10, 22, 29], Operations: []
Exploring Operation: 59-29=30, Resulting Numbers: [10, 22, 30]
Generated Node #2: [10, 22, 30] from Operation: 59-29=30
Current State: 25:[10, 22, 30], Operations: ['59-29=30']
Exploring Operation: 30/10=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 30/10=3
Current State: 25:[22, 3], Operations: ['59-29=30', '30/10=3']
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
3,
80,
99,
15
] | 32 | [
"99/3=33",
"80-15=65",
"65-33=32"
] | Current State: 32:[3, 80, 99, 15], Operations: []
Exploring Operation: 99/3=33, Resulting Numbers: [80, 15, 33]
Generated Node #2: [80, 15, 33] from Operation: 99/3=33
Current State: 32:[80, 15, 33], Operations: ['99/3=33']
Exploring Operation: 80-15=65, Resulting Numbers: [33, 65]
Generated Node #3: [33, 65] from Operation: 80-15=65
Current State: 32:[33, 65], Operations: ['99/3=33', '80-15=65']
Exploring Operation: 65-33=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
8,
7,
31,
22
] | 33 | [
"22-8=14",
"14/7=2",
"31+2=33"
] | Current State: 33:[8, 7, 31, 22], Operations: []
Exploring Operation: 22-8=14, Resulting Numbers: [7, 31, 14]
Generated Node #2: [7, 31, 14] from Operation: 22-8=14
Current State: 33:[7, 31, 14], Operations: ['22-8=14']
Exploring Operation: 14/7=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 14/7=2
Current State: 33:[31, 2], Operations: ['22-8=14', '14/7=2']
Exploring Operation: 31+2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
2,
31,
63,
66
] | 96 | [
"2+31=33",
"63+66=129",
"129-33=96"
] | Current State: 96:[2, 31, 63, 66], Operations: []
Exploring Operation: 2+31=33, Resulting Numbers: [63, 66, 33]
Generated Node #2: [63, 66, 33] from Operation: 2+31=33
Current State: 96:[63, 66, 33], Operations: ['2+31=33']
Exploring Operation: 63+66=129, Resulting Numbers: [33, 129]
Generated Node #3: [33, 129] from Operation: 63+66=129
Current State: 96:[33, 129], Operations: ['2+31=33', '63+66=129']
Exploring Operation: 129-33=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
53,
2,
57,
87
] | 74 | [
"87-53=34",
"34/2=17",
"57+17=74"
] | Current State: 74:[53, 2, 57, 87], Operations: []
Exploring Operation: 87-53=34, Resulting Numbers: [2, 57, 34]
Generated Node #2: [2, 57, 34] from Operation: 87-53=34
Current State: 74:[2, 57, 34], Operations: ['87-53=34']
Exploring Operation: 34/2=17, Resulting Numbers: [57, 17]
Generated Node #3: [57, 17] from Operation: 34/2=17
Current State: 74:[57, 17], Operations: ['87-53=34', '34/2=17']
Exploring Operation: 57+17=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
61,
68,
8,
20
] | 55 | [
"68-20=48",
"48/8=6",
"61-6=55"
] | Current State: 55:[61, 68, 8, 20], Operations: []
Exploring Operation: 68-20=48, Resulting Numbers: [61, 8, 48]
Generated Node #2: [61, 8, 48] from Operation: 68-20=48
Current State: 55:[61, 8, 48], Operations: ['68-20=48']
Exploring Operation: 48/8=6, Resulting Numbers: [61, 6]
Generated Node #3: [61, 6] from Operation: 48/8=6
Current State: 55:[61, 6], Operations: ['68-20=48', '48/8=6']
Exploring Operation: 61-6=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
17,
77,
65,
32
] | 37 | [
"77-17=60",
"65+32=97",
"97-60=37"
] | Current State: 37:[17, 77, 65, 32], Operations: []
Exploring Operation: 77-17=60, Resulting Numbers: [65, 32, 60]
Generated Node #2: [65, 32, 60] from Operation: 77-17=60
Current State: 37:[65, 32, 60], Operations: ['77-17=60']
Exploring Operation: 65+32=97, Resulting Numbers: [60, 97]
Generated Node #3: [60, 97] from Operation: 65+32=97
Current State: 37:[60, 97], Operations: ['77-17=60', '65+32=97']
Exploring Operation: 97-60=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
10,
5,
18,
7
] | 40 | [
"10+5=15",
"18+7=25",
"15+25=40"
] | Current State: 40:[10, 5, 18, 7], Operations: []
Exploring Operation: 10+5=15, Resulting Numbers: [18, 7, 15]
Generated Node #2: [18, 7, 15] from Operation: 10+5=15
Current State: 40:[18, 7, 15], Operations: ['10+5=15']
Exploring Operation: 18+7=25, Resulting Numbers: [15, 25]
Generated Node #3: [15, 25] from Operation: 18+7=25
Current State: 40:[15, 25], Operations: ['10+5=15', '18+7=25']
Exploring Operation: 15+25=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
9,
45,
56,
2
] | 81 | [
"56-45=11",
"11-2=9",
"9*9=81"
] | Current State: 81:[9, 45, 56, 2], Operations: []
Exploring Operation: 56-45=11, Resulting Numbers: [9, 2, 11]
Generated Node #2: [9, 2, 11] from Operation: 56-45=11
Current State: 81:[9, 2, 11], Operations: ['56-45=11']
Exploring Operation: 11-2=9, Resulting Numbers: [9, 9]
Generated Node #3: [9, 9] from Operation: 11-2=9
Current State: 81:[9, 9], Operations: ['56-45=11', '11-2=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
80,
94,
2,
72
] | 65 | [
"94-80=14",
"14/2=7",
"72-7=65"
] | Current State: 65:[80, 94, 2, 72], Operations: []
Exploring Operation: 94-80=14, Resulting Numbers: [2, 72, 14]
Generated Node #2: [2, 72, 14] from Operation: 94-80=14
Current State: 65:[2, 72, 14], Operations: ['94-80=14']
Exploring Operation: 14/2=7, Resulting Numbers: [72, 7]
Generated Node #3: [72, 7] from Operation: 14/2=7
Current State: 65:[72, 7], Operations: ['94-80=14', '14/2=7']
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
10,
16,
6,
51
] | 29 | [
"6*51=306",
"306-16=290",
"290/10=29"
] | Current State: 29:[10, 16, 6, 51], Operations: []
Exploring Operation: 6*51=306, Resulting Numbers: [10, 16, 306]
Generated Node #2: [10, 16, 306] from Operation: 6*51=306
Current State: 29:[10, 16, 306], Operations: ['6*51=306']
Exploring Operation: 306-16=290, Resulting Numbers: [10, 290]
Generated Node #3: [10, 290] from Operation: 306-16=290
Current State: 29:[10, 290], Operations: ['6*51=306', '306-16=290']
Exploring Operation: 290/10=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
84,
11,
96,
52
] | 75 | [
"84-11=73",
"96+52=148",
"148-73=75"
] | Current State: 75:[84, 11, 96, 52], Operations: []
Exploring Operation: 84-11=73, Resulting Numbers: [96, 52, 73]
Generated Node #2: [96, 52, 73] from Operation: 84-11=73
Current State: 75:[96, 52, 73], Operations: ['84-11=73']
Exploring Operation: 96+52=148, Resulting Numbers: [73, 148]
Generated Node #3: [73, 148] from Operation: 96+52=148
Current State: 75:[73, 148], Operations: ['84-11=73', '96+52=148']
Exploring Operation: 148-73=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
62,
91,
29,
96
] | 97 | [
"91-62=29",
"29/29=1",
"96+1=97"
] | Current State: 97:[62, 91, 29, 96], Operations: []
Exploring Operation: 91-62=29, Resulting Numbers: [29, 96, 29]
Generated Node #2: [29, 96, 29] from Operation: 91-62=29
Current State: 97:[29, 96, 29], Operations: ['91-62=29']
Exploring Operation: 29/29=1, Resulting Numbers: [96, 1]
Generated Node #3: [96, 1] from Operation: 29/29=1
Current State: 97:[96, 1], Operations: ['91-62=29', '29/29=1']
Exploring Operation: 96+1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
37,
78,
21,
15
] | 78 | [
"37-21=16",
"16-15=1",
"78*1=78"
] | Current State: 78:[37, 78, 21, 15], Operations: []
Exploring Operation: 37-21=16, Resulting Numbers: [78, 15, 16]
Generated Node #2: [78, 15, 16] from Operation: 37-21=16
Current State: 78:[78, 15, 16], Operations: ['37-21=16']
Exploring Operation: 16-15=1, Resulting Numbers: [78, 1]
Generated Node #3: [78, 1] from Operation: 16-15=1
Current State: 78:[78, 1], Operations: ['37-21=16', '16-15=1']
Exploring Operation: 78*1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
33,
51,
35,
19
] | 13 | [
"35-33=2",
"19*2=38",
"51-38=13"
] | Current State: 13:[33, 51, 35, 19], Operations: []
Exploring Operation: 35-33=2, Resulting Numbers: [51, 19, 2]
Generated Node #2: [51, 19, 2] from Operation: 35-33=2
Current State: 13:[51, 19, 2], Operations: ['35-33=2']
Exploring Operation: 19*2=38, Resulting Numbers: [51, 38]
Generated Node #3: [51, 38] from Operation: 19*2=38
Current State: 13:[51, 38], Operations: ['35-33=2', '19*2=38']
Exploring Operation: 51-38=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
86,
44,
34,
88
] | 54 | [
"86-34=52",
"88/44=2",
"52+2=54"
] | Current State: 54:[86, 44, 34, 88], Operations: []
Exploring Operation: 86-34=52, Resulting Numbers: [44, 88, 52]
Generated Node #2: [44, 88, 52] from Operation: 86-34=52
Current State: 54:[44, 88, 52], Operations: ['86-34=52']
Exploring Operation: 88/44=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 88/44=2
Current State: 54:[52, 2], Operations: ['86-34=52', '88/44=2']
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
95,
62,
53,
11
] | 93 | [
"95+62=157",
"53+11=64",
"157-64=93"
] | Current State: 93:[95, 62, 53, 11], Operations: []
Exploring Operation: 95+62=157, Resulting Numbers: [53, 11, 157]
Generated Node #2: [53, 11, 157] from Operation: 95+62=157
Current State: 93:[53, 11, 157], Operations: ['95+62=157']
Exploring Operation: 53+11=64, Resulting Numbers: [157, 64]
Generated Node #3: [157, 64] from Operation: 53+11=64
Current State: 93:[157, 64], Operations: ['95+62=157', '53+11=64']
Exploring Operation: 157-64=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
22,
50,
12,
69
] | 74 | [
"22-12=10",
"50/10=5",
"69+5=74"
] | Current State: 74:[22, 50, 12, 69], Operations: []
Exploring Operation: 22-12=10, Resulting Numbers: [50, 69, 10]
Generated Node #2: [50, 69, 10] from Operation: 22-12=10
Current State: 74:[50, 69, 10], Operations: ['22-12=10']
Exploring Operation: 50/10=5, Resulting Numbers: [69, 5]
Generated Node #3: [69, 5] from Operation: 50/10=5
Current State: 74:[69, 5], Operations: ['22-12=10', '50/10=5']
Exploring Operation: 69+5=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
44,
98,
48,
82
] | 41 | [
"98-82=16",
"48/16=3",
"44-3=41"
] | Current State: 41:[44, 98, 48, 82], Operations: []
Exploring Operation: 98-82=16, Resulting Numbers: [44, 48, 16]
Generated Node #2: [44, 48, 16] from Operation: 98-82=16
Current State: 41:[44, 48, 16], Operations: ['98-82=16']
Exploring Operation: 48/16=3, Resulting Numbers: [44, 3]
Generated Node #3: [44, 3] from Operation: 48/16=3
Current State: 41:[44, 3], Operations: ['98-82=16', '48/16=3']
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
47,
4,
12,
22
] | 28 | [
"47-22=25",
"12/4=3",
"25+3=28"
] | Current State: 28:[47, 4, 12, 22], Operations: []
Exploring Operation: 47-22=25, Resulting Numbers: [4, 12, 25]
Generated Node #2: [4, 12, 25] from Operation: 47-22=25
Current State: 28:[4, 12, 25], Operations: ['47-22=25']
Exploring Operation: 12/4=3, Resulting Numbers: [25, 3]
Generated Node #3: [25, 3] from Operation: 12/4=3
Current State: 28:[25, 3], Operations: ['47-22=25', '12/4=3']
Exploring Operation: 25+3=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
55,
70,
93,
67
] | 72 | [
"70-67=3",
"55*3=165",
"165-93=72"
] | Current State: 72:[55, 70, 93, 67], Operations: []
Exploring Operation: 70-67=3, Resulting Numbers: [55, 93, 3]
Generated Node #2: [55, 93, 3] from Operation: 70-67=3
Current State: 72:[55, 93, 3], Operations: ['70-67=3']
Exploring Operation: 55*3=165, Resulting Numbers: [93, 165]
Generated Node #3: [93, 165] from Operation: 55*3=165
Current State: 72:[93, 165], Operations: ['70-67=3', '55*3=165']
Exploring Operation: 165-93=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
43,
45,
14,
33
] | 94 | [
"45-43=2",
"14+33=47",
"2*47=94"
] | Current State: 94:[43, 45, 14, 33], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [14, 33, 2]
Generated Node #2: [14, 33, 2] from Operation: 45-43=2
Current State: 94:[14, 33, 2], Operations: ['45-43=2']
Exploring Operation: 14+33=47, Resulting Numbers: [2, 47]
Generated Node #3: [2, 47] from Operation: 14+33=47
Current State: 94:[2, 47], Operations: ['45-43=2', '14+33=47']
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
46,
14,
44,
54
] | 41 | [
"46-44=2",
"54/2=27",
"14+27=41"
] | Current State: 41:[46, 14, 44, 54], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [14, 54, 2]
Generated Node #2: [14, 54, 2] from Operation: 46-44=2
Current State: 41:[14, 54, 2], Operations: ['46-44=2']
Exploring Operation: 54/2=27, Resulting Numbers: [14, 27]
Generated Node #3: [14, 27] from Operation: 54/2=27
Current State: 41:[14, 27], Operations: ['46-44=2', '54/2=27']
Exploring Operation: 14+27=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
34,
57,
41,
76
] | 100 | [
"34+41=75",
"76*75=5700",
"5700/57=100"
] | Current State: 100:[34, 57, 41, 76], Operations: []
Exploring Operation: 34+41=75, Resulting Numbers: [57, 76, 75]
Generated Node #2: [57, 76, 75] from Operation: 34+41=75
Current State: 100:[57, 76, 75], Operations: ['34+41=75']
Exploring Operation: 76*75=5700, Resulting Numbers: [57, 5700]
Generated Node #3: [57, 5700] from Operation: 76*75=5700
Current State: 100:[57, 5700], Operations: ['34+41=75', '76*75=5700']
Exploring Operation: 5700/57=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
24,
28,
84,
81
] | 98 | [
"28*81=2268",
"84+2268=2352",
"2352/24=98"
] | Current State: 98:[24, 28, 84, 81], Operations: []
Exploring Operation: 28*81=2268, Resulting Numbers: [24, 84, 2268]
Generated Node #2: [24, 84, 2268] from Operation: 28*81=2268
Current State: 98:[24, 84, 2268], Operations: ['28*81=2268']
Exploring Operation: 84+2268=2352, Resulting Numbers: [24, 2352]
Generated Node #3: [24, 2352] from Operation: 84+2268=2352
Current State: 98:[24, 2352], Operations: ['28*81=2268', '84+2268=2352']
Exploring Operation: 2352/24=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
20,
76,
37,
33
] | 100 | [
"20+76=96",
"37-33=4",
"96+4=100"
] | Current State: 100:[20, 76, 37, 33], Operations: []
Exploring Operation: 20+76=96, Resulting Numbers: [37, 33, 96]
Generated Node #2: [37, 33, 96] from Operation: 20+76=96
Current State: 100:[37, 33, 96], Operations: ['20+76=96']
Exploring Operation: 37-33=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 37-33=4
Current State: 100:[96, 4], Operations: ['20+76=96', '37-33=4']
Exploring Operation: 96+4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
22,
44,
60,
18
] | 80 | [
"44/22=2",
"60+18=78",
"2+78=80"
] | Current State: 80:[22, 44, 60, 18], Operations: []
Exploring Operation: 44/22=2, Resulting Numbers: [60, 18, 2]
Generated Node #2: [60, 18, 2] from Operation: 44/22=2
Current State: 80:[60, 18, 2], Operations: ['44/22=2']
Exploring Operation: 60+18=78, Resulting Numbers: [2, 78]
Generated Node #3: [2, 78] from Operation: 60+18=78
Current State: 80:[2, 78], Operations: ['44/22=2', '60+18=78']
Exploring Operation: 2+78=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
94,
79,
68,
97
] | 11 | [
"94-79=15",
"68+97=165",
"165/15=11"
] | Current State: 11:[94, 79, 68, 97], Operations: []
Exploring Operation: 94-79=15, Resulting Numbers: [68, 97, 15]
Generated Node #2: [68, 97, 15] from Operation: 94-79=15
Current State: 11:[68, 97, 15], Operations: ['94-79=15']
Exploring Operation: 68+97=165, Resulting Numbers: [15, 165]
Generated Node #3: [15, 165] from Operation: 68+97=165
Current State: 11:[15, 165], Operations: ['94-79=15', '68+97=165']
Exploring Operation: 165/15=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
29,
71,
12,
87
] | 75 | [
"29*12=348",
"348/87=4",
"71+4=75"
] | Current State: 75:[29, 71, 12, 87], Operations: []
Exploring Operation: 29*12=348, Resulting Numbers: [71, 87, 348]
Generated Node #2: [71, 87, 348] from Operation: 29*12=348
Current State: 75:[71, 87, 348], Operations: ['29*12=348']
Exploring Operation: 348/87=4, Resulting Numbers: [71, 4]
Generated Node #3: [71, 4] from Operation: 348/87=4
Current State: 75:[71, 4], Operations: ['29*12=348', '348/87=4']
Exploring Operation: 71+4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
54,
98,
37,
89
] | 42 | [
"54*98=5292",
"37+89=126",
"5292/126=42"
] | Current State: 42:[54, 98, 37, 89], Operations: []
Exploring Operation: 54*98=5292, Resulting Numbers: [37, 89, 5292]
Generated Node #2: [37, 89, 5292] from Operation: 54*98=5292
Current State: 42:[37, 89, 5292], Operations: ['54*98=5292']
Exploring Operation: 37+89=126, Resulting Numbers: [5292, 126]
Generated Node #3: [5292, 126] from Operation: 37+89=126
Current State: 42:[5292, 126], Operations: ['54*98=5292', '37+89=126']
Exploring Operation: 5292/126=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
33,
42,
10,
62
] | 66 | [
"62-42=20",
"33*20=660",
"660/10=66"
] | Current State: 66:[33, 42, 10, 62], Operations: []
Exploring Operation: 62-42=20, Resulting Numbers: [33, 10, 20]
Generated Node #2: [33, 10, 20] from Operation: 62-42=20
Current State: 66:[33, 10, 20], Operations: ['62-42=20']
Exploring Operation: 33*20=660, Resulting Numbers: [10, 660]
Generated Node #3: [10, 660] from Operation: 33*20=660
Current State: 66:[10, 660], Operations: ['62-42=20', '33*20=660']
Exploring Operation: 660/10=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
62,
90,
22,
3
] | 38 | [
"90-62=28",
"22*3=66",
"66-28=38"
] | Current State: 38:[62, 90, 22, 3], Operations: []
Exploring Operation: 90-62=28, Resulting Numbers: [22, 3, 28]
Generated Node #2: [22, 3, 28] from Operation: 90-62=28
Current State: 38:[22, 3, 28], Operations: ['90-62=28']
Exploring Operation: 22*3=66, Resulting Numbers: [28, 66]
Generated Node #3: [28, 66] from Operation: 22*3=66
Current State: 38:[28, 66], Operations: ['90-62=28', '22*3=66']
Exploring Operation: 66-28=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
20,
9,
36,
88
] | 56 | [
"20*9=180",
"36+88=124",
"180-124=56"
] | Current State: 56:[20, 9, 36, 88], Operations: []
Exploring Operation: 20*9=180, Resulting Numbers: [36, 88, 180]
Generated Node #2: [36, 88, 180] from Operation: 20*9=180
Current State: 56:[36, 88, 180], Operations: ['20*9=180']
Exploring Operation: 36+88=124, Resulting Numbers: [180, 124]
Generated Node #3: [180, 124] from Operation: 36+88=124
Current State: 56:[180, 124], Operations: ['20*9=180', '36+88=124']
Exploring Operation: 180-124=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
17,
40,
25,
22
] | 17 | [
"25-17=8",
"40/8=5",
"22-5=17"
] | Current State: 17:[17, 40, 25, 22], Operations: []
Exploring Operation: 25-17=8, Resulting Numbers: [40, 22, 8]
Generated Node #2: [40, 22, 8] from Operation: 25-17=8
Current State: 17:[40, 22, 8], Operations: ['25-17=8']
Exploring Operation: 40/8=5, Resulting Numbers: [22, 5]
Generated Node #3: [22, 5] from Operation: 40/8=5
Current State: 17:[22, 5], Operations: ['25-17=8', '40/8=5']
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
27,
92,
39,
25
] | 51 | [
"92-27=65",
"39-25=14",
"65-14=51"
] | Current State: 51:[27, 92, 39, 25], Operations: []
Exploring Operation: 92-27=65, Resulting Numbers: [39, 25, 65]
Generated Node #2: [39, 25, 65] from Operation: 92-27=65
Current State: 51:[39, 25, 65], Operations: ['92-27=65']
Exploring Operation: 39-25=14, Resulting Numbers: [65, 14]
Generated Node #3: [65, 14] from Operation: 39-25=14
Current State: 51:[65, 14], Operations: ['92-27=65', '39-25=14']
Exploring Operation: 65-14=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
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