nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
17,
3,
87,
25
] | 63 | [
"25-17=8",
"3*8=24",
"87-24=63"
] | Current State: 63:[17, 3, 87, 25], Operations: []
Exploring Operation: 25-17=8, Resulting Numbers: [3, 87, 8]
Generated Node #2: [3, 87, 8] from Operation: 25-17=8
Current State: 63:[3, 87, 8], Operations: ['25-17=8']
Exploring Operation: 3*8=24, Resulting Numbers: [87, 24]
Generated Node #3: [87, 24] from Operation: 3*8=24
Current State: 63:[87, 24], Operations: ['25-17=8', '3*8=24']
Exploring Operation: 87-24=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
22,
32,
56,
22
] | 20 | [
"22+32=54",
"56-22=34",
"54-34=20"
] | Current State: 20:[22, 32, 56, 22], Operations: []
Exploring Operation: 22+32=54, Resulting Numbers: [56, 54]
Generated Node #2: [56, 54] from Operation: 22+32=54
Current State: 20:[56, 54], Operations: ['22+32=54']
Exploring Operation: 56-22=34, Resulting Numbers: [54, 34]
Generated Node #3: [54, 34] from Operation: 56-22=34
Current State: 20:[54, 34], Operations: ['22+32=54', '56-22=34']
Exploring Operation: 54-34=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
39,
26,
38,
71
] | 32 | [
"39+26=65",
"71-38=33",
"65-33=32"
] | Current State: 32:[39, 26, 38, 71], Operations: []
Exploring Operation: 39+26=65, Resulting Numbers: [38, 71, 65]
Generated Node #2: [38, 71, 65] from Operation: 39+26=65
Current State: 32:[38, 71, 65], Operations: ['39+26=65']
Exploring Operation: 71-38=33, Resulting Numbers: [65, 33]
Generated Node #3: [65, 33] from Operation: 71-38=33
Current State: 32:[65, 33], Operations: ['39+26=65', '71-38=33']
Exploring Operation: 65-33=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
7,
26,
51,
96
] | 26 | [
"26-7=19",
"96-51=45",
"45-19=26"
] | Current State: 26:[7, 26, 51, 96], Operations: []
Exploring Operation: 26-7=19, Resulting Numbers: [51, 96, 19]
Generated Node #2: [51, 96, 19] from Operation: 26-7=19
Current State: 26:[51, 96, 19], Operations: ['26-7=19']
Exploring Operation: 96-51=45, Resulting Numbers: [19, 45]
Generated Node #3: [19, 45] from Operation: 96-51=45
Current State: 26:[19, 45], Operations: ['26-7=19', '96-51=45']
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
87,
74,
97,
74
] | 97 | [
"74-74=0",
"87*0=0",
"97+0=97"
] | Current State: 97:[87, 74, 97, 74], Operations: []
Exploring Operation: 74-74=0, Resulting Numbers: [87, 97, 0]
Generated Node #2: [87, 97, 0] from Operation: 74-74=0
Current State: 97:[87, 97, 0], Operations: ['74-74=0']
Exploring Operation: 87*0=0, Resulting Numbers: [97, 0]
Generated Node #3: [97, 0] from Operation: 87*0=0
Current State: 97:[97, 0], Operations: ['74-74=0', '87*0=0']
Exploring Operation: 97+0=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
57,
71,
48,
89
] | 55 | [
"71-57=14",
"89-48=41",
"14+41=55"
] | Current State: 55:[57, 71, 48, 89], Operations: []
Exploring Operation: 71-57=14, Resulting Numbers: [48, 89, 14]
Generated Node #2: [48, 89, 14] from Operation: 71-57=14
Current State: 55:[48, 89, 14], Operations: ['71-57=14']
Exploring Operation: 89-48=41, Resulting Numbers: [14, 41]
Generated Node #3: [14, 41] from Operation: 89-48=41
Current State: 55:[14, 41], Operations: ['71-57=14', '89-48=41']
Exploring Operation: 14+41=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
70,
4,
36,
13
] | 51 | [
"70+4=74",
"36-13=23",
"74-23=51"
] | Current State: 51:[70, 4, 36, 13], Operations: []
Exploring Operation: 70+4=74, Resulting Numbers: [36, 13, 74]
Generated Node #2: [36, 13, 74] from Operation: 70+4=74
Current State: 51:[36, 13, 74], Operations: ['70+4=74']
Exploring Operation: 36-13=23, Resulting Numbers: [74, 23]
Generated Node #3: [74, 23] from Operation: 36-13=23
Current State: 51:[74, 23], Operations: ['70+4=74', '36-13=23']
Exploring Operation: 74-23=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
5,
50,
9,
45
] | 32 | [
"45/5=9",
"50-9=41",
"41-9=32"
] | Current State: 32:[5, 50, 9, 45], Operations: []
Exploring Operation: 45/5=9, Resulting Numbers: [50, 9, 9]
Generated Node #2: [50, 9, 9] from Operation: 45/5=9
Current State: 32:[50, 9, 9], Operations: ['45/5=9']
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,32 equal: Goal Reached
Exploring Operation: 41-9=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
22,
13,
26,
92
] | 81 | [
"22*13=286",
"286/26=11",
"92-11=81"
] | Current State: 81:[22, 13, 26, 92], Operations: []
Exploring Operation: 22*13=286, Resulting Numbers: [26, 92, 286]
Generated Node #2: [26, 92, 286] from Operation: 22*13=286
Current State: 81:[26, 92, 286], Operations: ['22*13=286']
Exploring Operation: 286/26=11, Resulting Numbers: [92, 11]
Generated Node #3: [92, 11] from Operation: 286/26=11
Current State: 81:[92, 11], Operations: ['22*13=286', '286/26=11']
Exploring Operation: 92-11=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
64,
83,
7,
92
] | 39 | [
"83+92=175",
"175/7=25",
"64-25=39"
] | Current State: 39:[64, 83, 7, 92], Operations: []
Exploring Operation: 83+92=175, Resulting Numbers: [64, 7, 175]
Generated Node #2: [64, 7, 175] from Operation: 83+92=175
Current State: 39:[64, 7, 175], Operations: ['83+92=175']
Exploring Operation: 175/7=25, Resulting Numbers: [64, 25]
Generated Node #3: [64, 25] from Operation: 175/7=25
Current State: 39:[64, 25], Operations: ['83+92=175', '175/7=25']
Exploring Operation: 64-25=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
74,
40,
18,
25
] | 77 | [
"74-40=34",
"18+25=43",
"34+43=77"
] | Current State: 77:[74, 40, 18, 25], Operations: []
Exploring Operation: 74-40=34, Resulting Numbers: [18, 25, 34]
Generated Node #2: [18, 25, 34] from Operation: 74-40=34
Current State: 77:[18, 25, 34], Operations: ['74-40=34']
Exploring Operation: 18+25=43, Resulting Numbers: [34, 43]
Generated Node #3: [34, 43] from Operation: 18+25=43
Current State: 77:[34, 43], Operations: ['74-40=34', '18+25=43']
Exploring Operation: 34+43=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
74,
3,
88,
93
] | 97 | [
"74+93=167",
"3*88=264",
"264-167=97"
] | Current State: 97:[74, 3, 88, 93], Operations: []
Exploring Operation: 74+93=167, Resulting Numbers: [3, 88, 167]
Generated Node #2: [3, 88, 167] from Operation: 74+93=167
Current State: 97:[3, 88, 167], Operations: ['74+93=167']
Exploring Operation: 3*88=264, Resulting Numbers: [167, 264]
Generated Node #3: [167, 264] from Operation: 3*88=264
Current State: 97:[167, 264], Operations: ['74+93=167', '3*88=264']
Exploring Operation: 264-167=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
43,
12,
88,
51
] | 92 | [
"43+12=55",
"88-51=37",
"55+37=92"
] | Current State: 92:[43, 12, 88, 51], Operations: []
Exploring Operation: 43+12=55, Resulting Numbers: [88, 51, 55]
Generated Node #2: [88, 51, 55] from Operation: 43+12=55
Current State: 92:[88, 51, 55], Operations: ['43+12=55']
Exploring Operation: 88-51=37, Resulting Numbers: [55, 37]
Generated Node #3: [55, 37] from Operation: 88-51=37
Current State: 92:[55, 37], Operations: ['43+12=55', '88-51=37']
Exploring Operation: 55+37=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
18,
4,
2,
80
] | 83 | [
"4+2=6",
"18/6=3",
"80+3=83"
] | Current State: 83:[18, 4, 2, 80], Operations: []
Exploring Operation: 4+2=6, Resulting Numbers: [18, 80, 6]
Generated Node #2: [18, 80, 6] from Operation: 4+2=6
Current State: 83:[18, 80, 6], Operations: ['4+2=6']
Exploring Operation: 18/6=3, Resulting Numbers: [80, 3]
Generated Node #3: [80, 3] from Operation: 18/6=3
Current State: 83:[80, 3], Operations: ['4+2=6', '18/6=3']
Exploring Operation: 80+3=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
60,
78,
38,
69
] | 45 | [
"38*69=2622",
"78+2622=2700",
"2700/60=45"
] | Current State: 45:[60, 78, 38, 69], Operations: []
Exploring Operation: 38*69=2622, Resulting Numbers: [60, 78, 2622]
Generated Node #2: [60, 78, 2622] from Operation: 38*69=2622
Current State: 45:[60, 78, 2622], Operations: ['38*69=2622']
Exploring Operation: 78+2622=2700, Resulting Numbers: [60, 2700]
Generated Node #3: [60, 2700] from Operation: 78+2622=2700
Current State: 45:[60, 2700], Operations: ['38*69=2622', '78+2622=2700']
Exploring Operation: 2700/60=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
32,
10,
8,
74
] | 69 | [
"10-8=2",
"74/2=37",
"32+37=69"
] | Current State: 69:[32, 10, 8, 74], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [32, 74, 2]
Generated Node #2: [32, 74, 2] from Operation: 10-8=2
Current State: 69:[32, 74, 2], Operations: ['10-8=2']
Exploring Operation: 74/2=37, Resulting Numbers: [32, 37]
Generated Node #3: [32, 37] from Operation: 74/2=37
Current State: 69:[32, 37], Operations: ['10-8=2', '74/2=37']
Exploring Operation: 32+37=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
66,
60,
49,
40
] | 95 | [
"66-60=6",
"49+40=89",
"6+89=95"
] | Current State: 95:[66, 60, 49, 40], Operations: []
Exploring Operation: 66-60=6, Resulting Numbers: [49, 40, 6]
Generated Node #2: [49, 40, 6] from Operation: 66-60=6
Current State: 95:[49, 40, 6], Operations: ['66-60=6']
Exploring Operation: 49+40=89, Resulting Numbers: [6, 89]
Generated Node #3: [6, 89] from Operation: 49+40=89
Current State: 95:[6, 89], Operations: ['66-60=6', '49+40=89']
Exploring Operation: 6+89=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
6,
64,
5,
74
] | 60 | [
"6+64=70",
"70/5=14",
"74-14=60"
] | Current State: 60:[6, 64, 5, 74], Operations: []
Exploring Operation: 6+64=70, Resulting Numbers: [5, 74, 70]
Generated Node #2: [5, 74, 70] from Operation: 6+64=70
Current State: 60:[5, 74, 70], Operations: ['6+64=70']
Exploring Operation: 70/5=14, Resulting Numbers: [74, 14]
Generated Node #3: [74, 14] from Operation: 70/5=14
Current State: 60:[74, 14], Operations: ['6+64=70', '70/5=14']
Exploring Operation: 74-14=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
39,
2,
16,
32
] | 15 | [
"39-32=7",
"16/2=8",
"7+8=15"
] | Current State: 15:[39, 2, 16, 32], Operations: []
Exploring Operation: 39-32=7, Resulting Numbers: [2, 16, 7]
Generated Node #2: [2, 16, 7] from Operation: 39-32=7
Current State: 15:[2, 16, 7], Operations: ['39-32=7']
Exploring Operation: 16/2=8, Resulting Numbers: [7, 8]
Generated Node #3: [7, 8] from Operation: 16/2=8
Current State: 15:[7, 8], Operations: ['39-32=7', '16/2=8']
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
21,
28,
30,
87
] | 14 | [
"28+30=58",
"21*58=1218",
"1218/87=14"
] | Current State: 14:[21, 28, 30, 87], Operations: []
Exploring Operation: 28+30=58, Resulting Numbers: [21, 87, 58]
Generated Node #2: [21, 87, 58] from Operation: 28+30=58
Current State: 14:[21, 87, 58], Operations: ['28+30=58']
Exploring Operation: 21*58=1218, Resulting Numbers: [87, 1218]
Generated Node #3: [87, 1218] from Operation: 21*58=1218
Current State: 14:[87, 1218], Operations: ['28+30=58', '21*58=1218']
Exploring Operation: 1218/87=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
38,
71,
7,
79
] | 37 | [
"38+71=109",
"79-7=72",
"109-72=37"
] | Current State: 37:[38, 71, 7, 79], Operations: []
Exploring Operation: 38+71=109, Resulting Numbers: [7, 79, 109]
Generated Node #2: [7, 79, 109] from Operation: 38+71=109
Current State: 37:[7, 79, 109], Operations: ['38+71=109']
Exploring Operation: 79-7=72, Resulting Numbers: [109, 72]
Generated Node #3: [109, 72] from Operation: 79-7=72
Current State: 37:[109, 72], Operations: ['38+71=109', '79-7=72']
Exploring Operation: 109-72=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
5,
24,
43,
41
] | 12 | [
"43-24=19",
"41+19=60",
"60/5=12"
] | Current State: 12:[5, 24, 43, 41], Operations: []
Exploring Operation: 43-24=19, Resulting Numbers: [5, 41, 19]
Generated Node #2: [5, 41, 19] from Operation: 43-24=19
Current State: 12:[5, 41, 19], Operations: ['43-24=19']
Exploring Operation: 41+19=60, Resulting Numbers: [5, 60]
Generated Node #3: [5, 60] from Operation: 41+19=60
Current State: 12:[5, 60], Operations: ['43-24=19', '41+19=60']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
30,
3,
67,
62
] | 49 | [
"67-30=37",
"3*37=111",
"111-62=49"
] | Current State: 49:[30, 3, 67, 62], Operations: []
Exploring Operation: 67-30=37, Resulting Numbers: [3, 62, 37]
Generated Node #2: [3, 62, 37] from Operation: 67-30=37
Current State: 49:[3, 62, 37], Operations: ['67-30=37']
Exploring Operation: 3*37=111, Resulting Numbers: [62, 111]
Generated Node #3: [62, 111] from Operation: 3*37=111
Current State: 49:[62, 111], Operations: ['67-30=37', '3*37=111']
Exploring Operation: 111-62=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
55,
57,
38,
8
] | 15 | [
"57-55=2",
"38-8=30",
"30/2=15"
] | Current State: 15:[55, 57, 38, 8], Operations: []
Exploring Operation: 57-55=2, Resulting Numbers: [38, 8, 2]
Generated Node #2: [38, 8, 2] from Operation: 57-55=2
Current State: 15:[38, 8, 2], Operations: ['57-55=2']
Exploring Operation: 38-8=30, Resulting Numbers: [2, 30]
Generated Node #3: [2, 30] from Operation: 38-8=30
Current State: 15:[2, 30], Operations: ['57-55=2', '38-8=30']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
3,
9,
26,
11
] | 94 | [
"9+26=35",
"3*35=105",
"105-11=94"
] | Current State: 94:[3, 9, 26, 11], Operations: []
Exploring Operation: 9+26=35, Resulting Numbers: [3, 11, 35]
Generated Node #2: [3, 11, 35] from Operation: 9+26=35
Current State: 94:[3, 11, 35], Operations: ['9+26=35']
Exploring Operation: 3*35=105, Resulting Numbers: [11, 105]
Generated Node #3: [11, 105] from Operation: 3*35=105
Current State: 94:[11, 105], Operations: ['9+26=35', '3*35=105']
Exploring Operation: 105-11=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
86,
55,
35,
43
] | 15 | [
"86*35=3010",
"3010/43=70",
"70-55=15"
] | Current State: 15:[86, 55, 35, 43], Operations: []
Exploring Operation: 86*35=3010, Resulting Numbers: [55, 43, 3010]
Generated Node #2: [55, 43, 3010] from Operation: 86*35=3010
Current State: 15:[55, 43, 3010], Operations: ['86*35=3010']
Exploring Operation: 3010/43=70, Resulting Numbers: [55, 70]
Generated Node #3: [55, 70] from Operation: 3010/43=70
Current State: 15:[55, 70], Operations: ['86*35=3010', '3010/43=70']
Exploring Operation: 70-55=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
53,
14,
29,
30
] | 55 | [
"29-14=15",
"30/15=2",
"53+2=55"
] | Current State: 55:[53, 14, 29, 30], Operations: []
Exploring Operation: 29-14=15, Resulting Numbers: [53, 30, 15]
Generated Node #2: [53, 30, 15] from Operation: 29-14=15
Current State: 55:[53, 30, 15], Operations: ['29-14=15']
Exploring Operation: 30/15=2, Resulting Numbers: [53, 2]
Generated Node #3: [53, 2] from Operation: 30/15=2
Current State: 55:[53, 2], Operations: ['29-14=15', '30/15=2']
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
91,
98,
24,
5
] | 94 | [
"91+5=96",
"96/24=4",
"98-4=94"
] | Current State: 94:[91, 98, 24, 5], Operations: []
Exploring Operation: 91+5=96, Resulting Numbers: [98, 24, 96]
Generated Node #2: [98, 24, 96] from Operation: 91+5=96
Current State: 94:[98, 24, 96], Operations: ['91+5=96']
Exploring Operation: 96/24=4, Resulting Numbers: [98, 4]
Generated Node #3: [98, 4] from Operation: 96/24=4
Current State: 94:[98, 4], Operations: ['91+5=96', '96/24=4']
Exploring Operation: 98-4=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
17,
55,
95,
5
] | 92 | [
"17*55=935",
"935/5=187",
"187-95=92"
] | Current State: 92:[17, 55, 95, 5], Operations: []
Exploring Operation: 17*55=935, Resulting Numbers: [95, 5, 935]
Generated Node #2: [95, 5, 935] from Operation: 17*55=935
Current State: 92:[95, 5, 935], Operations: ['17*55=935']
Exploring Operation: 935/5=187, Resulting Numbers: [95, 187]
Generated Node #3: [95, 187] from Operation: 935/5=187
Current State: 92:[95, 187], Operations: ['17*55=935', '935/5=187']
Exploring Operation: 187-95=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
99,
16,
61,
46
] | 56 | [
"99+61=160",
"160/16=10",
"46+10=56"
] | Current State: 56:[99, 16, 61, 46], Operations: []
Exploring Operation: 99+61=160, Resulting Numbers: [16, 46, 160]
Generated Node #2: [16, 46, 160] from Operation: 99+61=160
Current State: 56:[16, 46, 160], Operations: ['99+61=160']
Exploring Operation: 160/16=10, Resulting Numbers: [46, 10]
Generated Node #3: [46, 10] from Operation: 160/16=10
Current State: 56:[46, 10], Operations: ['99+61=160', '160/16=10']
Exploring Operation: 46+10=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
27,
94,
96,
62
] | 33 | [
"94-27=67",
"96-62=34",
"67-34=33"
] | Current State: 33:[27, 94, 96, 62], Operations: []
Exploring Operation: 94-27=67, Resulting Numbers: [96, 62, 67]
Generated Node #2: [96, 62, 67] from Operation: 94-27=67
Current State: 33:[96, 62, 67], Operations: ['94-27=67']
Exploring Operation: 96-62=34, Resulting Numbers: [67, 34]
Generated Node #3: [67, 34] from Operation: 96-62=34
Current State: 33:[67, 34], Operations: ['94-27=67', '96-62=34']
Exploring Operation: 67-34=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
52,
84,
43,
96
] | 83 | [
"52+84=136",
"96-43=53",
"136-53=83"
] | Current State: 83:[52, 84, 43, 96], Operations: []
Exploring Operation: 52+84=136, Resulting Numbers: [43, 96, 136]
Generated Node #2: [43, 96, 136] from Operation: 52+84=136
Current State: 83:[43, 96, 136], Operations: ['52+84=136']
Exploring Operation: 96-43=53, Resulting Numbers: [136, 53]
Generated Node #3: [136, 53] from Operation: 96-43=53
Current State: 83:[136, 53], Operations: ['52+84=136', '96-43=53']
Exploring Operation: 136-53=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
85,
18,
94,
25
] | 16 | [
"85+18=103",
"94+25=119",
"119-103=16"
] | Current State: 16:[85, 18, 94, 25], Operations: []
Exploring Operation: 85+18=103, Resulting Numbers: [94, 25, 103]
Generated Node #2: [94, 25, 103] from Operation: 85+18=103
Current State: 16:[94, 25, 103], Operations: ['85+18=103']
Exploring Operation: 94+25=119, Resulting Numbers: [103, 119]
Generated Node #3: [103, 119] from Operation: 94+25=119
Current State: 16:[103, 119], Operations: ['85+18=103', '94+25=119']
Exploring Operation: 119-103=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
86,
4,
51,
50
] | 85 | [
"86+50=136",
"136/4=34",
"51+34=85"
] | Current State: 85:[86, 4, 51, 50], Operations: []
Exploring Operation: 86+50=136, Resulting Numbers: [4, 51, 136]
Generated Node #2: [4, 51, 136] from Operation: 86+50=136
Current State: 85:[4, 51, 136], Operations: ['86+50=136']
Exploring Operation: 136/4=34, Resulting Numbers: [51, 34]
Generated Node #3: [51, 34] from Operation: 136/4=34
Current State: 85:[51, 34], Operations: ['86+50=136', '136/4=34']
Exploring Operation: 51+34=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
91,
12,
90,
92
] | 85 | [
"92-90=2",
"12/2=6",
"91-6=85"
] | Current State: 85:[91, 12, 90, 92], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [91, 12, 2]
Generated Node #2: [91, 12, 2] from Operation: 92-90=2
Current State: 85:[91, 12, 2], Operations: ['92-90=2']
Exploring Operation: 12/2=6, Resulting Numbers: [91, 6]
Generated Node #3: [91, 6] from Operation: 12/2=6
Current State: 85:[91, 6], Operations: ['92-90=2', '12/2=6']
Exploring Operation: 91-6=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
64,
10,
34,
5
] | 80 | [
"64-34=30",
"10*5=50",
"30+50=80"
] | Current State: 80:[64, 10, 34, 5], Operations: []
Exploring Operation: 64-34=30, Resulting Numbers: [10, 5, 30]
Generated Node #2: [10, 5, 30] from Operation: 64-34=30
Current State: 80:[10, 5, 30], Operations: ['64-34=30']
Exploring Operation: 10*5=50, Resulting Numbers: [30, 50]
Generated Node #3: [30, 50] from Operation: 10*5=50
Current State: 80:[30, 50], Operations: ['64-34=30', '10*5=50']
Exploring Operation: 30+50=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
57,
51,
37,
5
] | 76 | [
"57+51=108",
"37-5=32",
"108-32=76"
] | Current State: 76:[57, 51, 37, 5], Operations: []
Exploring Operation: 57+51=108, Resulting Numbers: [37, 5, 108]
Generated Node #2: [37, 5, 108] from Operation: 57+51=108
Current State: 76:[37, 5, 108], Operations: ['57+51=108']
Exploring Operation: 37-5=32, Resulting Numbers: [108, 32]
Generated Node #3: [108, 32] from Operation: 37-5=32
Current State: 76:[108, 32], Operations: ['57+51=108', '37-5=32']
Exploring Operation: 108-32=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
23,
59,
81,
98
] | 65 | [
"23+59=82",
"98-81=17",
"82-17=65"
] | Current State: 65:[23, 59, 81, 98], Operations: []
Exploring Operation: 23+59=82, Resulting Numbers: [81, 98, 82]
Generated Node #2: [81, 98, 82] from Operation: 23+59=82
Current State: 65:[81, 98, 82], Operations: ['23+59=82']
Exploring Operation: 98-81=17, Resulting Numbers: [82, 17]
Generated Node #3: [82, 17] from Operation: 98-81=17
Current State: 65:[82, 17], Operations: ['23+59=82', '98-81=17']
Exploring Operation: 82-17=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
53,
91,
72,
7
] | 42 | [
"72-53=19",
"7*19=133",
"133-91=42"
] | Current State: 42:[53, 91, 72, 7], Operations: []
Exploring Operation: 72-53=19, Resulting Numbers: [91, 7, 19]
Generated Node #2: [91, 7, 19] from Operation: 72-53=19
Current State: 42:[91, 7, 19], Operations: ['72-53=19']
Exploring Operation: 7*19=133, Resulting Numbers: [91, 133]
Generated Node #3: [91, 133] from Operation: 7*19=133
Current State: 42:[91, 133], Operations: ['72-53=19', '7*19=133']
Exploring Operation: 133-91=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
98,
92,
41,
36
] | 47 | [
"98-92=6",
"36/6=6",
"41+6=47"
] | Current State: 47:[98, 92, 41, 36], Operations: []
Exploring Operation: 98-92=6, Resulting Numbers: [41, 36, 6]
Generated Node #2: [41, 36, 6] from Operation: 98-92=6
Current State: 47:[41, 36, 6], Operations: ['98-92=6']
Exploring Operation: 36/6=6, Resulting Numbers: [41, 6]
Generated Node #3: [41, 6] from Operation: 36/6=6
Current State: 47:[41, 6], Operations: ['98-92=6', '36/6=6']
Exploring Operation: 41+6=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
7,
49,
4,
12
] | 36 | [
"49/7=7",
"7-4=3",
"12*3=36"
] | Current State: 36:[7, 49, 4, 12], Operations: []
Exploring Operation: 49/7=7, Resulting Numbers: [4, 12, 7]
Generated Node #2: [4, 12, 7] from Operation: 49/7=7
Current State: 36:[4, 12, 7], Operations: ['49/7=7']
Exploring Operation: 7-4=3, Resulting Numbers: [12, 3]
Generated Node #3: [12, 3] from Operation: 7-4=3
Current State: 36:[12, 3], Operations: ['49/7=7', '7-4=3']
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
31,
10,
75,
47
] | 85 | [
"47-31=16",
"10*16=160",
"160-75=85"
] | Current State: 85:[31, 10, 75, 47], Operations: []
Exploring Operation: 47-31=16, Resulting Numbers: [10, 75, 16]
Generated Node #2: [10, 75, 16] from Operation: 47-31=16
Current State: 85:[10, 75, 16], Operations: ['47-31=16']
Exploring Operation: 10*16=160, Resulting Numbers: [75, 160]
Generated Node #3: [75, 160] from Operation: 10*16=160
Current State: 85:[75, 160], Operations: ['47-31=16', '10*16=160']
Exploring Operation: 160-75=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
15,
80,
38,
2
] | 36 | [
"80-38=42",
"42/2=21",
"15+21=36"
] | Current State: 36:[15, 80, 38, 2], Operations: []
Exploring Operation: 80-38=42, Resulting Numbers: [15, 2, 42]
Generated Node #2: [15, 2, 42] from Operation: 80-38=42
Current State: 36:[15, 2, 42], Operations: ['80-38=42']
Exploring Operation: 42/2=21, Resulting Numbers: [15, 21]
Generated Node #3: [15, 21] from Operation: 42/2=21
Current State: 36:[15, 21], Operations: ['80-38=42', '42/2=21']
Exploring Operation: 15+21=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
60,
5,
91,
77
] | 69 | [
"60-5=55",
"91-77=14",
"55+14=69"
] | Current State: 69:[60, 5, 91, 77], Operations: []
Exploring Operation: 60-5=55, Resulting Numbers: [91, 77, 55]
Generated Node #2: [91, 77, 55] from Operation: 60-5=55
Current State: 69:[91, 77, 55], Operations: ['60-5=55']
Exploring Operation: 91-77=14, Resulting Numbers: [55, 14]
Generated Node #3: [55, 14] from Operation: 91-77=14
Current State: 69:[55, 14], Operations: ['60-5=55', '91-77=14']
Exploring Operation: 55+14=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
75,
77,
40,
9
] | 11 | [
"77-75=2",
"40/2=20",
"20-9=11"
] | Current State: 11:[75, 77, 40, 9], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [40, 9, 2]
Generated Node #2: [40, 9, 2] from Operation: 77-75=2
Current State: 11:[40, 9, 2], Operations: ['77-75=2']
Exploring Operation: 40/2=20, Resulting Numbers: [9, 20]
Generated Node #3: [9, 20] from Operation: 40/2=20
Current State: 11:[9, 20], Operations: ['77-75=2', '40/2=20']
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
26,
92,
80,
62
] | 100 | [
"26+92=118",
"80-62=18",
"118-18=100"
] | Current State: 100:[26, 92, 80, 62], Operations: []
Exploring Operation: 26+92=118, Resulting Numbers: [80, 62, 118]
Generated Node #2: [80, 62, 118] from Operation: 26+92=118
Current State: 100:[80, 62, 118], Operations: ['26+92=118']
Exploring Operation: 80-62=18, Resulting Numbers: [118, 18]
Generated Node #3: [118, 18] from Operation: 80-62=18
Current State: 100:[118, 18], Operations: ['26+92=118', '80-62=18']
Exploring Operation: 118-18=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
42,
74,
89,
19
] | 76 | [
"74-42=32",
"89+19=108",
"108-32=76"
] | Current State: 76:[42, 74, 89, 19], Operations: []
Exploring Operation: 74-42=32, Resulting Numbers: [89, 19, 32]
Generated Node #2: [89, 19, 32] from Operation: 74-42=32
Current State: 76:[89, 19, 32], Operations: ['74-42=32']
Exploring Operation: 89+19=108, Resulting Numbers: [32, 108]
Generated Node #3: [32, 108] from Operation: 89+19=108
Current State: 76:[32, 108], Operations: ['74-42=32', '89+19=108']
Exploring Operation: 108-32=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
73,
31,
47,
20
] | 100 | [
"73-31=42",
"47-42=5",
"20*5=100"
] | Current State: 100:[73, 31, 47, 20], Operations: []
Exploring Operation: 73-31=42, Resulting Numbers: [47, 20, 42]
Generated Node #2: [47, 20, 42] from Operation: 73-31=42
Current State: 100:[47, 20, 42], Operations: ['73-31=42']
Exploring Operation: 47-42=5, Resulting Numbers: [20, 5]
Generated Node #3: [20, 5] from Operation: 47-42=5
Current State: 100:[20, 5], Operations: ['73-31=42', '47-42=5']
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
56,
41,
88,
55
] | 64 | [
"56+41=97",
"88-55=33",
"97-33=64"
] | Current State: 64:[56, 41, 88, 55], Operations: []
Exploring Operation: 56+41=97, Resulting Numbers: [88, 55, 97]
Generated Node #2: [88, 55, 97] from Operation: 56+41=97
Current State: 64:[88, 55, 97], Operations: ['56+41=97']
Exploring Operation: 88-55=33, Resulting Numbers: [97, 33]
Generated Node #3: [97, 33] from Operation: 88-55=33
Current State: 64:[97, 33], Operations: ['56+41=97', '88-55=33']
Exploring Operation: 97-33=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
42,
84,
11,
49
] | 36 | [
"84/42=2",
"49-11=38",
"38-2=36"
] | Current State: 36:[42, 84, 11, 49], Operations: []
Exploring Operation: 84/42=2, Resulting Numbers: [11, 49, 2]
Generated Node #2: [11, 49, 2] from Operation: 84/42=2
Current State: 36:[11, 49, 2], Operations: ['84/42=2']
Exploring Operation: 49-11=38, Resulting Numbers: [2, 38]
Generated Node #3: [2, 38] from Operation: 49-11=38
Current State: 36:[2, 38], Operations: ['84/42=2', '49-11=38']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
29,
47,
3,
85
] | 31 | [
"47-29=18",
"3*18=54",
"85-54=31"
] | Current State: 31:[29, 47, 3, 85], Operations: []
Exploring Operation: 47-29=18, Resulting Numbers: [3, 85, 18]
Generated Node #2: [3, 85, 18] from Operation: 47-29=18
Current State: 31:[3, 85, 18], Operations: ['47-29=18']
Exploring Operation: 3*18=54, Resulting Numbers: [85, 54]
Generated Node #3: [85, 54] from Operation: 3*18=54
Current State: 31:[85, 54], Operations: ['47-29=18', '3*18=54']
Exploring Operation: 85-54=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
1,
2,
47,
39
] | 57 | [
"1+47=48",
"2*48=96",
"96-39=57"
] | Current State: 57:[1, 2, 47, 39], Operations: []
Exploring Operation: 1+47=48, Resulting Numbers: [2, 39, 48]
Generated Node #2: [2, 39, 48] from Operation: 1+47=48
Current State: 57:[2, 39, 48], Operations: ['1+47=48']
Exploring Operation: 2*48=96, Resulting Numbers: [39, 96]
Generated Node #3: [39, 96] from Operation: 2*48=96
Current State: 57:[39, 96], Operations: ['1+47=48', '2*48=96']
Exploring Operation: 96-39=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
82,
81,
40,
65
] | 63 | [
"81-40=41",
"82/41=2",
"65-2=63"
] | Current State: 63:[82, 81, 40, 65], Operations: []
Exploring Operation: 81-40=41, Resulting Numbers: [82, 65, 41]
Generated Node #2: [82, 65, 41] from Operation: 81-40=41
Current State: 63:[82, 65, 41], Operations: ['81-40=41']
Exploring Operation: 82/41=2, Resulting Numbers: [65, 2]
Generated Node #3: [65, 2] from Operation: 82/41=2
Current State: 63:[65, 2], Operations: ['81-40=41', '82/41=2']
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
52,
50,
9,
9
] | 27 | [
"52-50=2",
"9*2=18",
"9+18=27"
] | Current State: 27:[52, 50, 9, 9], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [9, 9, 2]
Generated Node #2: [9, 9, 2] from Operation: 52-50=2
Current State: 27:[9, 9, 2], Operations: ['52-50=2']
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,27 equal: Goal Reached
Exploring Operation: 9+18=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
95,
3,
10,
7
] | 94 | [
"10-3=7",
"7/7=1",
"95-1=94"
] | Current State: 94:[95, 3, 10, 7], Operations: []
Exploring Operation: 10-3=7, Resulting Numbers: [95, 7, 7]
Generated Node #2: [95, 7, 7] from Operation: 10-3=7
Current State: 94:[95, 7, 7], Operations: ['10-3=7']
Exploring Operation: 7/7=1, Resulting Numbers: [95, 1]
Generated Node #3: [95, 1] from Operation: 7/7=1
Current State: 94:[95, 1], Operations: ['10-3=7', '7/7=1']
Exploring Operation: 95-1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
6,
3,
65,
36
] | 77 | [
"6-3=3",
"36/3=12",
"65+12=77"
] | Current State: 77:[6, 3, 65, 36], Operations: []
Exploring Operation: 6-3=3, Resulting Numbers: [65, 36, 3]
Generated Node #2: [65, 36, 3] from Operation: 6-3=3
Current State: 77:[65, 36, 3], Operations: ['6-3=3']
Exploring Operation: 36/3=12, Resulting Numbers: [65, 12]
Generated Node #3: [65, 12] from Operation: 36/3=12
Current State: 77:[65, 12], Operations: ['6-3=3', '36/3=12']
Exploring Operation: 65+12=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
16,
49,
72,
66
] | 74 | [
"49-16=33",
"66/33=2",
"72+2=74"
] | Current State: 74:[16, 49, 72, 66], Operations: []
Exploring Operation: 49-16=33, Resulting Numbers: [72, 66, 33]
Generated Node #2: [72, 66, 33] from Operation: 49-16=33
Current State: 74:[72, 66, 33], Operations: ['49-16=33']
Exploring Operation: 66/33=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 66/33=2
Current State: 74:[72, 2], Operations: ['49-16=33', '66/33=2']
Exploring Operation: 72+2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
2,
16,
25,
3
] | 93 | [
"2+16=18",
"25*3=75",
"18+75=93"
] | Current State: 93:[2, 16, 25, 3], Operations: []
Exploring Operation: 2+16=18, Resulting Numbers: [25, 3, 18]
Generated Node #2: [25, 3, 18] from Operation: 2+16=18
Current State: 93:[25, 3, 18], Operations: ['2+16=18']
Exploring Operation: 25*3=75, Resulting Numbers: [18, 75]
Generated Node #3: [18, 75] from Operation: 25*3=75
Current State: 93:[18, 75], Operations: ['2+16=18', '25*3=75']
Exploring Operation: 18+75=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
13,
10,
85,
20
] | 35 | [
"13-10=3",
"85+20=105",
"105/3=35"
] | Current State: 35:[13, 10, 85, 20], Operations: []
Exploring Operation: 13-10=3, Resulting Numbers: [85, 20, 3]
Generated Node #2: [85, 20, 3] from Operation: 13-10=3
Current State: 35:[85, 20, 3], Operations: ['13-10=3']
Exploring Operation: 85+20=105, Resulting Numbers: [3, 105]
Generated Node #3: [3, 105] from Operation: 85+20=105
Current State: 35:[3, 105], Operations: ['13-10=3', '85+20=105']
Exploring Operation: 105/3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
81,
44,
70,
60
] | 56 | [
"81-70=11",
"44/11=4",
"60-4=56"
] | Current State: 56:[81, 44, 70, 60], Operations: []
Exploring Operation: 81-70=11, Resulting Numbers: [44, 60, 11]
Generated Node #2: [44, 60, 11] from Operation: 81-70=11
Current State: 56:[44, 60, 11], Operations: ['81-70=11']
Exploring Operation: 44/11=4, Resulting Numbers: [60, 4]
Generated Node #3: [60, 4] from Operation: 44/11=4
Current State: 56:[60, 4], Operations: ['81-70=11', '44/11=4']
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
54,
81,
82,
68
] | 41 | [
"81-54=27",
"82-68=14",
"27+14=41"
] | Current State: 41:[54, 81, 82, 68], Operations: []
Exploring Operation: 81-54=27, Resulting Numbers: [82, 68, 27]
Generated Node #2: [82, 68, 27] from Operation: 81-54=27
Current State: 41:[82, 68, 27], Operations: ['81-54=27']
Exploring Operation: 82-68=14, Resulting Numbers: [27, 14]
Generated Node #3: [27, 14] from Operation: 82-68=14
Current State: 41:[27, 14], Operations: ['81-54=27', '82-68=14']
Exploring Operation: 27+14=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
8,
57,
72,
32
] | 44 | [
"72+32=104",
"104/8=13",
"57-13=44"
] | Current State: 44:[8, 57, 72, 32], Operations: []
Exploring Operation: 72+32=104, Resulting Numbers: [8, 57, 104]
Generated Node #2: [8, 57, 104] from Operation: 72+32=104
Current State: 44:[8, 57, 104], Operations: ['72+32=104']
Exploring Operation: 104/8=13, Resulting Numbers: [57, 13]
Generated Node #3: [57, 13] from Operation: 104/8=13
Current State: 44:[57, 13], Operations: ['72+32=104', '104/8=13']
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
8,
48,
65,
21
] | 100 | [
"8+48=56",
"65-21=44",
"56+44=100"
] | Current State: 100:[8, 48, 65, 21], Operations: []
Exploring Operation: 8+48=56, Resulting Numbers: [65, 21, 56]
Generated Node #2: [65, 21, 56] from Operation: 8+48=56
Current State: 100:[65, 21, 56], Operations: ['8+48=56']
Exploring Operation: 65-21=44, Resulting Numbers: [56, 44]
Generated Node #3: [56, 44] from Operation: 65-21=44
Current State: 100:[56, 44], Operations: ['8+48=56', '65-21=44']
Exploring Operation: 56+44=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
10,
20,
4,
21
] | 19 | [
"20-10=10",
"4*10=40",
"40-21=19"
] | Current State: 19:[10, 20, 4, 21], Operations: []
Exploring Operation: 20-10=10, Resulting Numbers: [4, 21, 10]
Generated Node #2: [4, 21, 10] from Operation: 20-10=10
Current State: 19:[4, 21, 10], Operations: ['20-10=10']
Exploring Operation: 4*10=40, Resulting Numbers: [21, 40]
Generated Node #3: [21, 40] from Operation: 4*10=40
Current State: 19:[21, 40], Operations: ['20-10=10', '4*10=40']
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
91,
15,
29,
88
] | 17 | [
"91-15=76",
"88-29=59",
"76-59=17"
] | Current State: 17:[91, 15, 29, 88], Operations: []
Exploring Operation: 91-15=76, Resulting Numbers: [29, 88, 76]
Generated Node #2: [29, 88, 76] from Operation: 91-15=76
Current State: 17:[29, 88, 76], Operations: ['91-15=76']
Exploring Operation: 88-29=59, Resulting Numbers: [76, 59]
Generated Node #3: [76, 59] from Operation: 88-29=59
Current State: 17:[76, 59], Operations: ['91-15=76', '88-29=59']
Exploring Operation: 76-59=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
35,
64,
2,
80
] | 61 | [
"35+64=99",
"2*80=160",
"160-99=61"
] | Current State: 61:[35, 64, 2, 80], Operations: []
Exploring Operation: 35+64=99, Resulting Numbers: [2, 80, 99]
Generated Node #2: [2, 80, 99] from Operation: 35+64=99
Current State: 61:[2, 80, 99], Operations: ['35+64=99']
Exploring Operation: 2*80=160, Resulting Numbers: [99, 160]
Generated Node #3: [99, 160] from Operation: 2*80=160
Current State: 61:[99, 160], Operations: ['35+64=99', '2*80=160']
Exploring Operation: 160-99=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
30,
18,
24,
98
] | 26 | [
"30+18=48",
"98-24=74",
"74-48=26"
] | Current State: 26:[30, 18, 24, 98], Operations: []
Exploring Operation: 30+18=48, Resulting Numbers: [24, 98, 48]
Generated Node #2: [24, 98, 48] from Operation: 30+18=48
Current State: 26:[24, 98, 48], Operations: ['30+18=48']
Exploring Operation: 98-24=74, Resulting Numbers: [48, 74]
Generated Node #3: [48, 74] from Operation: 98-24=74
Current State: 26:[48, 74], Operations: ['30+18=48', '98-24=74']
Exploring Operation: 74-48=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
87,
47,
88,
53
] | 100 | [
"88-87=1",
"47+53=100",
"1*100=100"
] | Current State: 100:[87, 47, 88, 53], Operations: []
Exploring Operation: 88-87=1, Resulting Numbers: [47, 53, 1]
Generated Node #2: [47, 53, 1] from Operation: 88-87=1
Current State: 100:[47, 53, 1], Operations: ['88-87=1']
Exploring Operation: 47+53=100, Resulting Numbers: [1, 100]
Generated Node #3: [1, 100] from Operation: 47+53=100
Current State: 100:[1, 100], Operations: ['88-87=1', '47+53=100']
Exploring Operation: 1*100=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
49,
72,
2,
82
] | 37 | [
"49+72=121",
"2+82=84",
"121-84=37"
] | Current State: 37:[49, 72, 2, 82], Operations: []
Exploring Operation: 49+72=121, Resulting Numbers: [2, 82, 121]
Generated Node #2: [2, 82, 121] from Operation: 49+72=121
Current State: 37:[2, 82, 121], Operations: ['49+72=121']
Exploring Operation: 2+82=84, Resulting Numbers: [121, 84]
Generated Node #3: [121, 84] from Operation: 2+82=84
Current State: 37:[121, 84], Operations: ['49+72=121', '2+82=84']
Exploring Operation: 121-84=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
72,
31,
33,
40
] | 34 | [
"72-31=41",
"40-33=7",
"41-7=34"
] | Current State: 34:[72, 31, 33, 40], Operations: []
Exploring Operation: 72-31=41, Resulting Numbers: [33, 40, 41]
Generated Node #2: [33, 40, 41] from Operation: 72-31=41
Current State: 34:[33, 40, 41], Operations: ['72-31=41']
Exploring Operation: 40-33=7, Resulting Numbers: [41, 7]
Generated Node #3: [41, 7] from Operation: 40-33=7
Current State: 34:[41, 7], Operations: ['72-31=41', '40-33=7']
Exploring Operation: 41-7=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
24,
16,
94,
98
] | 20 | [
"98-94=4",
"16/4=4",
"24-4=20"
] | Current State: 20:[24, 16, 94, 98], Operations: []
Exploring Operation: 98-94=4, Resulting Numbers: [24, 16, 4]
Generated Node #2: [24, 16, 4] from Operation: 98-94=4
Current State: 20:[24, 16, 4], Operations: ['98-94=4']
Exploring Operation: 16/4=4, Resulting Numbers: [24, 4]
Generated Node #3: [24, 4] from Operation: 16/4=4
Current State: 20:[24, 4], Operations: ['98-94=4', '16/4=4']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
2,
98,
6,
41
] | 30 | [
"2*41=82",
"98+82=180",
"180/6=30"
] | Current State: 30:[2, 98, 6, 41], Operations: []
Exploring Operation: 2*41=82, Resulting Numbers: [98, 6, 82]
Generated Node #2: [98, 6, 82] from Operation: 2*41=82
Current State: 30:[98, 6, 82], Operations: ['2*41=82']
Exploring Operation: 98+82=180, Resulting Numbers: [6, 180]
Generated Node #3: [6, 180] from Operation: 98+82=180
Current State: 30:[6, 180], Operations: ['2*41=82', '98+82=180']
Exploring Operation: 180/6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
38,
19,
21,
82
] | 40 | [
"38/19=2",
"21*2=42",
"82-42=40"
] | Current State: 40:[38, 19, 21, 82], Operations: []
Exploring Operation: 38/19=2, Resulting Numbers: [21, 82, 2]
Generated Node #2: [21, 82, 2] from Operation: 38/19=2
Current State: 40:[21, 82, 2], Operations: ['38/19=2']
Exploring Operation: 21*2=42, Resulting Numbers: [82, 42]
Generated Node #3: [82, 42] from Operation: 21*2=42
Current State: 40:[82, 42], Operations: ['38/19=2', '21*2=42']
Exploring Operation: 82-42=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
82,
35,
90,
53
] | 96 | [
"82-35=47",
"90+53=143",
"143-47=96"
] | Current State: 96:[82, 35, 90, 53], Operations: []
Exploring Operation: 82-35=47, Resulting Numbers: [90, 53, 47]
Generated Node #2: [90, 53, 47] from Operation: 82-35=47
Current State: 96:[90, 53, 47], Operations: ['82-35=47']
Exploring Operation: 90+53=143, Resulting Numbers: [47, 143]
Generated Node #3: [47, 143] from Operation: 90+53=143
Current State: 96:[47, 143], Operations: ['82-35=47', '90+53=143']
Exploring Operation: 143-47=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
56,
15,
65,
57
] | 63 | [
"56+15=71",
"65-57=8",
"71-8=63"
] | Current State: 63:[56, 15, 65, 57], Operations: []
Exploring Operation: 56+15=71, Resulting Numbers: [65, 57, 71]
Generated Node #2: [65, 57, 71] from Operation: 56+15=71
Current State: 63:[65, 57, 71], Operations: ['56+15=71']
Exploring Operation: 65-57=8, Resulting Numbers: [71, 8]
Generated Node #3: [71, 8] from Operation: 65-57=8
Current State: 63:[71, 8], Operations: ['56+15=71', '65-57=8']
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
35,
70,
62,
30
] | 13 | [
"35+70=105",
"62+30=92",
"105-92=13"
] | Current State: 13:[35, 70, 62, 30], Operations: []
Exploring Operation: 35+70=105, Resulting Numbers: [62, 30, 105]
Generated Node #2: [62, 30, 105] from Operation: 35+70=105
Current State: 13:[62, 30, 105], Operations: ['35+70=105']
Exploring Operation: 62+30=92, Resulting Numbers: [105, 92]
Generated Node #3: [105, 92] from Operation: 62+30=92
Current State: 13:[105, 92], Operations: ['35+70=105', '62+30=92']
Exploring Operation: 105-92=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
89,
8,
37,
23
] | 23 | [
"89+23=112",
"112/8=14",
"37-14=23"
] | Current State: 23:[89, 8, 37, 23], Operations: []
Exploring Operation: 89+23=112, Resulting Numbers: [8, 37, 112]
Generated Node #2: [8, 37, 112] from Operation: 89+23=112
Current State: 23:[8, 37, 112], Operations: ['89+23=112']
Exploring Operation: 112/8=14, Resulting Numbers: [37, 14]
Generated Node #3: [37, 14] from Operation: 112/8=14
Current State: 23:[37, 14], Operations: ['89+23=112', '112/8=14']
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
51,
37,
42,
14
] | 91 | [
"51+37=88",
"42/14=3",
"88+3=91"
] | Current State: 91:[51, 37, 42, 14], Operations: []
Exploring Operation: 51+37=88, Resulting Numbers: [42, 14, 88]
Generated Node #2: [42, 14, 88] from Operation: 51+37=88
Current State: 91:[42, 14, 88], Operations: ['51+37=88']
Exploring Operation: 42/14=3, Resulting Numbers: [88, 3]
Generated Node #3: [88, 3] from Operation: 42/14=3
Current State: 91:[88, 3], Operations: ['51+37=88', '42/14=3']
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
61,
8,
21,
51
] | 52 | [
"21+51=72",
"72/8=9",
"61-9=52"
] | Current State: 52:[61, 8, 21, 51], Operations: []
Exploring Operation: 21+51=72, Resulting Numbers: [61, 8, 72]
Generated Node #2: [61, 8, 72] from Operation: 21+51=72
Current State: 52:[61, 8, 72], Operations: ['21+51=72']
Exploring Operation: 72/8=9, Resulting Numbers: [61, 9]
Generated Node #3: [61, 9] from Operation: 72/8=9
Current State: 52:[61, 9], Operations: ['21+51=72', '72/8=9']
Exploring Operation: 61-9=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
3,
15,
57,
6
] | 99 | [
"57/3=19",
"6*19=114",
"114-15=99"
] | Current State: 99:[3, 15, 57, 6], Operations: []
Exploring Operation: 57/3=19, Resulting Numbers: [15, 6, 19]
Generated Node #2: [15, 6, 19] from Operation: 57/3=19
Current State: 99:[15, 6, 19], Operations: ['57/3=19']
Exploring Operation: 6*19=114, Resulting Numbers: [15, 114]
Generated Node #3: [15, 114] from Operation: 6*19=114
Current State: 99:[15, 114], Operations: ['57/3=19', '6*19=114']
Exploring Operation: 114-15=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
20,
43,
39,
45
] | 21 | [
"20+43=63",
"39+45=84",
"84-63=21"
] | Current State: 21:[20, 43, 39, 45], Operations: []
Exploring Operation: 20+43=63, Resulting Numbers: [39, 45, 63]
Generated Node #2: [39, 45, 63] from Operation: 20+43=63
Current State: 21:[39, 45, 63], Operations: ['20+43=63']
Exploring Operation: 39+45=84, Resulting Numbers: [63, 84]
Generated Node #3: [63, 84] from Operation: 39+45=84
Current State: 21:[63, 84], Operations: ['20+43=63', '39+45=84']
Exploring Operation: 84-63=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
20,
71,
4,
24
] | 19 | [
"20/4=5",
"71+24=95",
"95/5=19"
] | Current State: 19:[20, 71, 4, 24], Operations: []
Exploring Operation: 20/4=5, Resulting Numbers: [71, 24, 5]
Generated Node #2: [71, 24, 5] from Operation: 20/4=5
Current State: 19:[71, 24, 5], Operations: ['20/4=5']
Exploring Operation: 71+24=95, Resulting Numbers: [5, 95]
Generated Node #3: [5, 95] from Operation: 71+24=95
Current State: 19:[5, 95], Operations: ['20/4=5', '71+24=95']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
48,
33,
9,
85
] | 50 | [
"48-33=15",
"9*15=135",
"135-85=50"
] | Current State: 50:[48, 33, 9, 85], Operations: []
Exploring Operation: 48-33=15, Resulting Numbers: [9, 85, 15]
Generated Node #2: [9, 85, 15] from Operation: 48-33=15
Current State: 50:[9, 85, 15], Operations: ['48-33=15']
Exploring Operation: 9*15=135, Resulting Numbers: [85, 135]
Generated Node #3: [85, 135] from Operation: 9*15=135
Current State: 50:[85, 135], Operations: ['48-33=15', '9*15=135']
Exploring Operation: 135-85=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
32,
43,
54,
92
] | 71 | [
"32+43=75",
"54+92=146",
"146-75=71"
] | Current State: 71:[32, 43, 54, 92], Operations: []
Exploring Operation: 32+43=75, Resulting Numbers: [54, 92, 75]
Generated Node #2: [54, 92, 75] from Operation: 32+43=75
Current State: 71:[54, 92, 75], Operations: ['32+43=75']
Exploring Operation: 54+92=146, Resulting Numbers: [75, 146]
Generated Node #3: [75, 146] from Operation: 54+92=146
Current State: 71:[75, 146], Operations: ['32+43=75', '54+92=146']
Exploring Operation: 146-75=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
19,
27,
37,
50
] | 95 | [
"27-19=8",
"37+50=87",
"8+87=95"
] | Current State: 95:[19, 27, 37, 50], Operations: []
Exploring Operation: 27-19=8, Resulting Numbers: [37, 50, 8]
Generated Node #2: [37, 50, 8] from Operation: 27-19=8
Current State: 95:[37, 50, 8], Operations: ['27-19=8']
Exploring Operation: 37+50=87, Resulting Numbers: [8, 87]
Generated Node #3: [8, 87] from Operation: 37+50=87
Current State: 95:[8, 87], Operations: ['27-19=8', '37+50=87']
Exploring Operation: 8+87=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
64,
56,
91,
5
] | 24 | [
"64+56=120",
"91+5=96",
"120-96=24"
] | Current State: 24:[64, 56, 91, 5], Operations: []
Exploring Operation: 64+56=120, Resulting Numbers: [91, 5, 120]
Generated Node #2: [91, 5, 120] from Operation: 64+56=120
Current State: 24:[91, 5, 120], Operations: ['64+56=120']
Exploring Operation: 91+5=96, Resulting Numbers: [120, 96]
Generated Node #3: [120, 96] from Operation: 91+5=96
Current State: 24:[120, 96], Operations: ['64+56=120', '91+5=96']
Exploring Operation: 120-96=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
36,
31,
28,
16
] | 62 | [
"36-28=8",
"31*16=496",
"496/8=62"
] | Current State: 62:[36, 31, 28, 16], Operations: []
Exploring Operation: 36-28=8, Resulting Numbers: [31, 16, 8]
Generated Node #2: [31, 16, 8] from Operation: 36-28=8
Current State: 62:[31, 16, 8], Operations: ['36-28=8']
Exploring Operation: 31*16=496, Resulting Numbers: [8, 496]
Generated Node #3: [8, 496] from Operation: 31*16=496
Current State: 62:[8, 496], Operations: ['36-28=8', '31*16=496']
Exploring Operation: 496/8=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
24,
5,
34,
68
] | 38 | [
"24-5=19",
"68/34=2",
"19*2=38"
] | Current State: 38:[24, 5, 34, 68], Operations: []
Exploring Operation: 24-5=19, Resulting Numbers: [34, 68, 19]
Generated Node #2: [34, 68, 19] from Operation: 24-5=19
Current State: 38:[34, 68, 19], Operations: ['24-5=19']
Exploring Operation: 68/34=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 68/34=2
Current State: 38:[19, 2], Operations: ['24-5=19', '68/34=2']
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
52,
96,
67,
50
] | 38 | [
"52-50=2",
"67*2=134",
"134-96=38"
] | Current State: 38:[52, 96, 67, 50], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [96, 67, 2]
Generated Node #2: [96, 67, 2] from Operation: 52-50=2
Current State: 38:[96, 67, 2], Operations: ['52-50=2']
Exploring Operation: 67*2=134, Resulting Numbers: [96, 134]
Generated Node #3: [96, 134] from Operation: 67*2=134
Current State: 38:[96, 134], Operations: ['52-50=2', '67*2=134']
Exploring Operation: 134-96=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
21,
60,
63,
48
] | 81 | [
"48-21=27",
"63-60=3",
"27*3=81"
] | Current State: 81:[21, 60, 63, 48], Operations: []
Exploring Operation: 48-21=27, Resulting Numbers: [60, 63, 27]
Generated Node #2: [60, 63, 27] from Operation: 48-21=27
Current State: 81:[60, 63, 27], Operations: ['48-21=27']
Exploring Operation: 63-60=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 63-60=3
Current State: 81:[27, 3], Operations: ['48-21=27', '63-60=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
15,
33,
85,
14
] | 89 | [
"33-15=18",
"85-14=71",
"18+71=89"
] | Current State: 89:[15, 33, 85, 14], Operations: []
Exploring Operation: 33-15=18, Resulting Numbers: [85, 14, 18]
Generated Node #2: [85, 14, 18] from Operation: 33-15=18
Current State: 89:[85, 14, 18], Operations: ['33-15=18']
Exploring Operation: 85-14=71, Resulting Numbers: [18, 71]
Generated Node #3: [18, 71] from Operation: 85-14=71
Current State: 89:[18, 71], Operations: ['33-15=18', '85-14=71']
Exploring Operation: 18+71=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
40,
50,
36,
8
] | 38 | [
"50-40=10",
"36-8=28",
"10+28=38"
] | Current State: 38:[40, 50, 36, 8], Operations: []
Exploring Operation: 50-40=10, Resulting Numbers: [36, 8, 10]
Generated Node #2: [36, 8, 10] from Operation: 50-40=10
Current State: 38:[36, 8, 10], Operations: ['50-40=10']
Exploring Operation: 36-8=28, Resulting Numbers: [10, 28]
Generated Node #3: [10, 28] from Operation: 36-8=28
Current State: 38:[10, 28], Operations: ['50-40=10', '36-8=28']
Exploring Operation: 10+28=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
68,
23,
69,
52
] | 88 | [
"69/23=3",
"52*3=156",
"156-68=88"
] | Current State: 88:[68, 23, 69, 52], Operations: []
Exploring Operation: 69/23=3, Resulting Numbers: [68, 52, 3]
Generated Node #2: [68, 52, 3] from Operation: 69/23=3
Current State: 88:[68, 52, 3], Operations: ['69/23=3']
Exploring Operation: 52*3=156, Resulting Numbers: [68, 156]
Generated Node #3: [68, 156] from Operation: 52*3=156
Current State: 88:[68, 156], Operations: ['69/23=3', '52*3=156']
Exploring Operation: 156-68=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
26,
85,
19,
10
] | 14 | [
"85+19=104",
"104/26=4",
"10+4=14"
] | Current State: 14:[26, 85, 19, 10], Operations: []
Exploring Operation: 85+19=104, Resulting Numbers: [26, 10, 104]
Generated Node #2: [26, 10, 104] from Operation: 85+19=104
Current State: 14:[26, 10, 104], Operations: ['85+19=104']
Exploring Operation: 104/26=4, Resulting Numbers: [10, 4]
Generated Node #3: [10, 4] from Operation: 104/26=4
Current State: 14:[10, 4], Operations: ['85+19=104', '104/26=4']
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
75,
20,
90,
35
] | 70 | [
"75-20=55",
"90+35=125",
"125-55=70"
] | Current State: 70:[75, 20, 90, 35], Operations: []
Exploring Operation: 75-20=55, Resulting Numbers: [90, 35, 55]
Generated Node #2: [90, 35, 55] from Operation: 75-20=55
Current State: 70:[90, 35, 55], Operations: ['75-20=55']
Exploring Operation: 90+35=125, Resulting Numbers: [55, 125]
Generated Node #3: [55, 125] from Operation: 90+35=125
Current State: 70:[55, 125], Operations: ['75-20=55', '90+35=125']
Exploring Operation: 125-55=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
81,
98,
13,
98
] | 94 | [
"81+98=179",
"98-13=85",
"179-85=94"
] | Current State: 94:[81, 98, 13, 98], Operations: []
Exploring Operation: 81+98=179, Resulting Numbers: [13, 179]
Generated Node #2: [13, 179] from Operation: 81+98=179
Current State: 94:[13, 179], Operations: ['81+98=179']
Exploring Operation: 98-13=85, Resulting Numbers: [179, 85]
Generated Node #3: [179, 85] from Operation: 98-13=85
Current State: 94:[179, 85], Operations: ['81+98=179', '98-13=85']
Exploring Operation: 179-85=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
47,
8,
2,
85
] | 44 | [
"47-8=39",
"85-2=83",
"83-39=44"
] | Current State: 44:[47, 8, 2, 85], Operations: []
Exploring Operation: 47-8=39, Resulting Numbers: [2, 85, 39]
Generated Node #2: [2, 85, 39] from Operation: 47-8=39
Current State: 44:[2, 85, 39], Operations: ['47-8=39']
Exploring Operation: 85-2=83, Resulting Numbers: [39, 83]
Generated Node #3: [39, 83] from Operation: 85-2=83
Current State: 44:[39, 83], Operations: ['47-8=39', '85-2=83']
Exploring Operation: 83-39=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
66,
34,
38,
30
] | 76 | [
"66-34=32",
"32-30=2",
"38*2=76"
] | Current State: 76:[66, 34, 38, 30], Operations: []
Exploring Operation: 66-34=32, Resulting Numbers: [38, 30, 32]
Generated Node #2: [38, 30, 32] from Operation: 66-34=32
Current State: 76:[38, 30, 32], Operations: ['66-34=32']
Exploring Operation: 32-30=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 32-30=2
Current State: 76:[38, 2], Operations: ['66-34=32', '32-30=2']
Exploring Operation: 38*2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
87,
94,
87,
47
] | 33 | [
"94-87=7",
"87-47=40",
"40-7=33"
] | Current State: 33:[87, 94, 87, 47], Operations: []
Exploring Operation: 94-87=7, Resulting Numbers: [47, 7]
Generated Node #2: [47, 7] from Operation: 94-87=7
Current State: 33:[47, 7], Operations: ['94-87=7']
Exploring Operation: 87-47=40, Resulting Numbers: [7, 40]
Generated Node #3: [7, 40] from Operation: 87-47=40
Current State: 33:[7, 40], Operations: ['94-87=7', '87-47=40']
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
67,
11,
46,
5
] | 60 | [
"46-11=35",
"35/5=7",
"67-7=60"
] | Current State: 60:[67, 11, 46, 5], Operations: []
Exploring Operation: 46-11=35, Resulting Numbers: [67, 5, 35]
Generated Node #2: [67, 5, 35] from Operation: 46-11=35
Current State: 60:[67, 5, 35], Operations: ['46-11=35']
Exploring Operation: 35/5=7, Resulting Numbers: [67, 7]
Generated Node #3: [67, 7] from Operation: 35/5=7
Current State: 60:[67, 7], Operations: ['46-11=35', '35/5=7']
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
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