nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
81,
31,
38,
86
] | 98 | [
"81-31=50",
"86-38=48",
"50+48=98"
] | Current State: 98:[81, 31, 38, 86], Operations: []
Exploring Operation: 81-31=50, Resulting Numbers: [38, 86, 50]
Generated Node #2: [38, 86, 50] from Operation: 81-31=50
Current State: 98:[38, 86, 50], Operations: ['81-31=50']
Exploring Operation: 86-38=48, Resulting Numbers: [50, 48]
Generated Node #3: [50, 48] from Operation: 86-38=48
Current State: 98:[50, 48], Operations: ['81-31=50', '86-38=48']
Exploring Operation: 50+48=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
70,
39,
53,
93
] | 88 | [
"53-39=14",
"70/14=5",
"93-5=88"
] | Current State: 88:[70, 39, 53, 93], Operations: []
Exploring Operation: 53-39=14, Resulting Numbers: [70, 93, 14]
Generated Node #2: [70, 93, 14] from Operation: 53-39=14
Current State: 88:[70, 93, 14], Operations: ['53-39=14']
Exploring Operation: 70/14=5, Resulting Numbers: [93, 5]
Generated Node #3: [93, 5] from Operation: 70/14=5
Current State: 88:[93, 5], Operations: ['53-39=14', '70/14=5']
Exploring Operation: 93-5=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
50,
9,
14,
22
] | 11 | [
"50-22=28",
"28/14=2",
"9+2=11"
] | Current State: 11:[50, 9, 14, 22], Operations: []
Exploring Operation: 50-22=28, Resulting Numbers: [9, 14, 28]
Generated Node #2: [9, 14, 28] from Operation: 50-22=28
Current State: 11:[9, 14, 28], Operations: ['50-22=28']
Exploring Operation: 28/14=2, Resulting Numbers: [9, 2]
Generated Node #3: [9, 2] from Operation: 28/14=2
Current State: 11:[9, 2], Operations: ['50-22=28', '28/14=2']
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
46,
67,
45,
71
] | 47 | [
"67-46=21",
"71-45=26",
"21+26=47"
] | Current State: 47:[46, 67, 45, 71], Operations: []
Exploring Operation: 67-46=21, Resulting Numbers: [45, 71, 21]
Generated Node #2: [45, 71, 21] from Operation: 67-46=21
Current State: 47:[45, 71, 21], Operations: ['67-46=21']
Exploring Operation: 71-45=26, Resulting Numbers: [21, 26]
Generated Node #3: [21, 26] from Operation: 71-45=26
Current State: 47:[21, 26], Operations: ['67-46=21', '71-45=26']
Exploring Operation: 21+26=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
70,
42,
19,
80
] | 89 | [
"70-42=28",
"80-19=61",
"28+61=89"
] | Current State: 89:[70, 42, 19, 80], Operations: []
Exploring Operation: 70-42=28, Resulting Numbers: [19, 80, 28]
Generated Node #2: [19, 80, 28] from Operation: 70-42=28
Current State: 89:[19, 80, 28], Operations: ['70-42=28']
Exploring Operation: 80-19=61, Resulting Numbers: [28, 61]
Generated Node #3: [28, 61] from Operation: 80-19=61
Current State: 89:[28, 61], Operations: ['70-42=28', '80-19=61']
Exploring Operation: 28+61=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
84,
1,
44,
86
] | 43 | [
"84+1=85",
"86-44=42",
"85-42=43"
] | Current State: 43:[84, 1, 44, 86], Operations: []
Exploring Operation: 84+1=85, Resulting Numbers: [44, 86, 85]
Generated Node #2: [44, 86, 85] from Operation: 84+1=85
Current State: 43:[44, 86, 85], Operations: ['84+1=85']
Exploring Operation: 86-44=42, Resulting Numbers: [85, 42]
Generated Node #3: [85, 42] from Operation: 86-44=42
Current State: 43:[85, 42], Operations: ['84+1=85', '86-44=42']
Exploring Operation: 85-42=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
95,
30,
40,
19
] | 66 | [
"95+30=125",
"40+19=59",
"125-59=66"
] | Current State: 66:[95, 30, 40, 19], Operations: []
Exploring Operation: 95+30=125, Resulting Numbers: [40, 19, 125]
Generated Node #2: [40, 19, 125] from Operation: 95+30=125
Current State: 66:[40, 19, 125], Operations: ['95+30=125']
Exploring Operation: 40+19=59, Resulting Numbers: [125, 59]
Generated Node #3: [125, 59] from Operation: 40+19=59
Current State: 66:[125, 59], Operations: ['95+30=125', '40+19=59']
Exploring Operation: 125-59=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
56,
61,
84,
25
] | 79 | [
"61-56=5",
"25/5=5",
"84-5=79"
] | Current State: 79:[56, 61, 84, 25], Operations: []
Exploring Operation: 61-56=5, Resulting Numbers: [84, 25, 5]
Generated Node #2: [84, 25, 5] from Operation: 61-56=5
Current State: 79:[84, 25, 5], Operations: ['61-56=5']
Exploring Operation: 25/5=5, Resulting Numbers: [84, 5]
Generated Node #3: [84, 5] from Operation: 25/5=5
Current State: 79:[84, 5], Operations: ['61-56=5', '25/5=5']
Exploring Operation: 84-5=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
13,
68,
7,
1
] | 61 | [
"68-13=55",
"7-1=6",
"55+6=61"
] | Current State: 61:[13, 68, 7, 1], Operations: []
Exploring Operation: 68-13=55, Resulting Numbers: [7, 1, 55]
Generated Node #2: [7, 1, 55] from Operation: 68-13=55
Current State: 61:[7, 1, 55], Operations: ['68-13=55']
Exploring Operation: 7-1=6, Resulting Numbers: [55, 6]
Generated Node #3: [55, 6] from Operation: 7-1=6
Current State: 61:[55, 6], Operations: ['68-13=55', '7-1=6']
Exploring Operation: 55+6=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
63,
52,
30,
76
] | 35 | [
"63-52=11",
"76-30=46",
"46-11=35"
] | Current State: 35:[63, 52, 30, 76], Operations: []
Exploring Operation: 63-52=11, Resulting Numbers: [30, 76, 11]
Generated Node #2: [30, 76, 11] from Operation: 63-52=11
Current State: 35:[30, 76, 11], Operations: ['63-52=11']
Exploring Operation: 76-30=46, Resulting Numbers: [11, 46]
Generated Node #3: [11, 46] from Operation: 76-30=46
Current State: 35:[11, 46], Operations: ['63-52=11', '76-30=46']
Exploring Operation: 46-11=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
2,
83,
36,
60
] | 11 | [
"2+83=85",
"36+60=96",
"96-85=11"
] | Current State: 11:[2, 83, 36, 60], Operations: []
Exploring Operation: 2+83=85, Resulting Numbers: [36, 60, 85]
Generated Node #2: [36, 60, 85] from Operation: 2+83=85
Current State: 11:[36, 60, 85], Operations: ['2+83=85']
Exploring Operation: 36+60=96, Resulting Numbers: [85, 96]
Generated Node #3: [85, 96] from Operation: 36+60=96
Current State: 11:[85, 96], Operations: ['2+83=85', '36+60=96']
Exploring Operation: 96-85=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
20,
60,
52,
33
] | 56 | [
"33-20=13",
"52/13=4",
"60-4=56"
] | Current State: 56:[20, 60, 52, 33], Operations: []
Exploring Operation: 33-20=13, Resulting Numbers: [60, 52, 13]
Generated Node #2: [60, 52, 13] from Operation: 33-20=13
Current State: 56:[60, 52, 13], Operations: ['33-20=13']
Exploring Operation: 52/13=4, Resulting Numbers: [60, 4]
Generated Node #3: [60, 4] from Operation: 52/13=4
Current State: 56:[60, 4], Operations: ['33-20=13', '52/13=4']
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
49,
55,
17,
65
] | 76 | [
"55-49=6",
"17+65=82",
"82-6=76"
] | Current State: 76:[49, 55, 17, 65], Operations: []
Exploring Operation: 55-49=6, Resulting Numbers: [17, 65, 6]
Generated Node #2: [17, 65, 6] from Operation: 55-49=6
Current State: 76:[17, 65, 6], Operations: ['55-49=6']
Exploring Operation: 17+65=82, Resulting Numbers: [6, 82]
Generated Node #3: [6, 82] from Operation: 17+65=82
Current State: 76:[6, 82], Operations: ['55-49=6', '17+65=82']
Exploring Operation: 82-6=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
18,
3,
17,
78
] | 39 | [
"18-3=15",
"17-15=2",
"78/2=39"
] | Current State: 39:[18, 3, 17, 78], Operations: []
Exploring Operation: 18-3=15, Resulting Numbers: [17, 78, 15]
Generated Node #2: [17, 78, 15] from Operation: 18-3=15
Current State: 39:[17, 78, 15], Operations: ['18-3=15']
Exploring Operation: 17-15=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 17-15=2
Current State: 39:[78, 2], Operations: ['18-3=15', '17-15=2']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
40,
57,
4,
64
] | 39 | [
"40*4=160",
"57+64=121",
"160-121=39"
] | Current State: 39:[40, 57, 4, 64], Operations: []
Exploring Operation: 40*4=160, Resulting Numbers: [57, 64, 160]
Generated Node #2: [57, 64, 160] from Operation: 40*4=160
Current State: 39:[57, 64, 160], Operations: ['40*4=160']
Exploring Operation: 57+64=121, Resulting Numbers: [160, 121]
Generated Node #3: [160, 121] from Operation: 57+64=121
Current State: 39:[160, 121], Operations: ['40*4=160', '57+64=121']
Exploring Operation: 160-121=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
54,
59,
68,
5
] | 93 | [
"59-54=5",
"5*5=25",
"68+25=93"
] | Current State: 93:[54, 59, 68, 5], Operations: []
Exploring Operation: 59-54=5, Resulting Numbers: [68, 5, 5]
Generated Node #2: [68, 5, 5] from Operation: 59-54=5
Current State: 93:[68, 5, 5], Operations: ['59-54=5']
Exploring Operation: 5*5=25, Resulting Numbers: [68, 25]
Generated Node #3: [68, 25] from Operation: 5*5=25
Current State: 93:[68, 25], Operations: ['59-54=5', '5*5=25']
Exploring Operation: 68+25=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
33,
4,
1,
25
] | 63 | [
"33+4=37",
"1+25=26",
"37+26=63"
] | Current State: 63:[33, 4, 1, 25], Operations: []
Exploring Operation: 33+4=37, Resulting Numbers: [1, 25, 37]
Generated Node #2: [1, 25, 37] from Operation: 33+4=37
Current State: 63:[1, 25, 37], Operations: ['33+4=37']
Exploring Operation: 1+25=26, Resulting Numbers: [37, 26]
Generated Node #3: [37, 26] from Operation: 1+25=26
Current State: 63:[37, 26], Operations: ['33+4=37', '1+25=26']
Exploring Operation: 37+26=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
10,
36,
93,
56
] | 11 | [
"36-10=26",
"93-56=37",
"37-26=11"
] | Current State: 11:[10, 36, 93, 56], Operations: []
Exploring Operation: 36-10=26, Resulting Numbers: [93, 56, 26]
Generated Node #2: [93, 56, 26] from Operation: 36-10=26
Current State: 11:[93, 56, 26], Operations: ['36-10=26']
Exploring Operation: 93-56=37, Resulting Numbers: [26, 37]
Generated Node #3: [26, 37] from Operation: 93-56=37
Current State: 11:[26, 37], Operations: ['36-10=26', '93-56=37']
Exploring Operation: 37-26=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
23,
39,
44,
35
] | 80 | [
"44-39=5",
"23*5=115",
"115-35=80"
] | Current State: 80:[23, 39, 44, 35], Operations: []
Exploring Operation: 44-39=5, Resulting Numbers: [23, 35, 5]
Generated Node #2: [23, 35, 5] from Operation: 44-39=5
Current State: 80:[23, 35, 5], Operations: ['44-39=5']
Exploring Operation: 23*5=115, Resulting Numbers: [35, 115]
Generated Node #3: [35, 115] from Operation: 23*5=115
Current State: 80:[35, 115], Operations: ['44-39=5', '23*5=115']
Exploring Operation: 115-35=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
75,
51,
48,
9
] | 64 | [
"51+48=99",
"99/9=11",
"75-11=64"
] | Current State: 64:[75, 51, 48, 9], Operations: []
Exploring Operation: 51+48=99, Resulting Numbers: [75, 9, 99]
Generated Node #2: [75, 9, 99] from Operation: 51+48=99
Current State: 64:[75, 9, 99], Operations: ['51+48=99']
Exploring Operation: 99/9=11, Resulting Numbers: [75, 11]
Generated Node #3: [75, 11] from Operation: 99/9=11
Current State: 64:[75, 11], Operations: ['51+48=99', '99/9=11']
Exploring Operation: 75-11=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
9,
95,
60,
6
] | 85 | [
"9-6=3",
"60*3=180",
"180-95=85"
] | Current State: 85:[9, 95, 60, 6], Operations: []
Exploring Operation: 9-6=3, Resulting Numbers: [95, 60, 3]
Generated Node #2: [95, 60, 3] from Operation: 9-6=3
Current State: 85:[95, 60, 3], Operations: ['9-6=3']
Exploring Operation: 60*3=180, Resulting Numbers: [95, 180]
Generated Node #3: [95, 180] from Operation: 60*3=180
Current State: 85:[95, 180], Operations: ['9-6=3', '60*3=180']
Exploring Operation: 180-95=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
95,
97,
86,
6
] | 54 | [
"95+97=192",
"192/6=32",
"86-32=54"
] | Current State: 54:[95, 97, 86, 6], Operations: []
Exploring Operation: 95+97=192, Resulting Numbers: [86, 6, 192]
Generated Node #2: [86, 6, 192] from Operation: 95+97=192
Current State: 54:[86, 6, 192], Operations: ['95+97=192']
Exploring Operation: 192/6=32, Resulting Numbers: [86, 32]
Generated Node #3: [86, 32] from Operation: 192/6=32
Current State: 54:[86, 32], Operations: ['95+97=192', '192/6=32']
Exploring Operation: 86-32=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
41,
46,
37,
14
] | 82 | [
"41*46=1886",
"37-14=23",
"1886/23=82"
] | Current State: 82:[41, 46, 37, 14], Operations: []
Exploring Operation: 41*46=1886, Resulting Numbers: [37, 14, 1886]
Generated Node #2: [37, 14, 1886] from Operation: 41*46=1886
Current State: 82:[37, 14, 1886], Operations: ['41*46=1886']
Exploring Operation: 37-14=23, Resulting Numbers: [1886, 23]
Generated Node #3: [1886, 23] from Operation: 37-14=23
Current State: 82:[1886, 23], Operations: ['41*46=1886', '37-14=23']
Exploring Operation: 1886/23=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
50,
18,
16,
9
] | 34 | [
"18-16=2",
"50/2=25",
"9+25=34"
] | Current State: 34:[50, 18, 16, 9], Operations: []
Exploring Operation: 18-16=2, Resulting Numbers: [50, 9, 2]
Generated Node #2: [50, 9, 2] from Operation: 18-16=2
Current State: 34:[50, 9, 2], Operations: ['18-16=2']
Exploring Operation: 50/2=25, Resulting Numbers: [9, 25]
Generated Node #3: [9, 25] from Operation: 50/2=25
Current State: 34:[9, 25], Operations: ['18-16=2', '50/2=25']
Exploring Operation: 9+25=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
48,
48,
97,
73
] | 23 | [
"48*48=2304",
"2304-73=2231",
"2231/97=23"
] | Current State: 23:[48, 48, 97, 73], Operations: []
Exploring Operation: 48*48=2304, Resulting Numbers: [97, 73, 2304]
Generated Node #2: [97, 73, 2304] from Operation: 48*48=2304
Current State: 23:[97, 73, 2304], Operations: ['48*48=2304']
Exploring Operation: 2304-73=2231, Resulting Numbers: [97, 2231]
Generated Node #3: [97, 2231] from Operation: 2304-73=2231
Current State: 23:[97, 2231], Operations: ['48*48=2304', '2304-73=2231']
Exploring Operation: 2231/97=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
40,
19,
3,
98
] | 74 | [
"40-19=21",
"98-3=95",
"95-21=74"
] | Current State: 74:[40, 19, 3, 98], Operations: []
Exploring Operation: 40-19=21, Resulting Numbers: [3, 98, 21]
Generated Node #2: [3, 98, 21] from Operation: 40-19=21
Current State: 74:[3, 98, 21], Operations: ['40-19=21']
Exploring Operation: 98-3=95, Resulting Numbers: [21, 95]
Generated Node #3: [21, 95] from Operation: 98-3=95
Current State: 74:[21, 95], Operations: ['40-19=21', '98-3=95']
Exploring Operation: 95-21=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
92,
98,
10,
49
] | 53 | [
"98-92=6",
"10+49=59",
"59-6=53"
] | Current State: 53:[92, 98, 10, 49], Operations: []
Exploring Operation: 98-92=6, Resulting Numbers: [10, 49, 6]
Generated Node #2: [10, 49, 6] from Operation: 98-92=6
Current State: 53:[10, 49, 6], Operations: ['98-92=6']
Exploring Operation: 10+49=59, Resulting Numbers: [6, 59]
Generated Node #3: [6, 59] from Operation: 10+49=59
Current State: 53:[6, 59], Operations: ['98-92=6', '10+49=59']
Exploring Operation: 59-6=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
69,
77,
9,
87
] | 85 | [
"87-69=18",
"9*18=162",
"162-77=85"
] | Current State: 85:[69, 77, 9, 87], Operations: []
Exploring Operation: 87-69=18, Resulting Numbers: [77, 9, 18]
Generated Node #2: [77, 9, 18] from Operation: 87-69=18
Current State: 85:[77, 9, 18], Operations: ['87-69=18']
Exploring Operation: 9*18=162, Resulting Numbers: [77, 162]
Generated Node #3: [77, 162] from Operation: 9*18=162
Current State: 85:[77, 162], Operations: ['87-69=18', '9*18=162']
Exploring Operation: 162-77=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
24,
35,
52,
56
] | 67 | [
"24*35=840",
"840/56=15",
"52+15=67"
] | Current State: 67:[24, 35, 52, 56], Operations: []
Exploring Operation: 24*35=840, Resulting Numbers: [52, 56, 840]
Generated Node #2: [52, 56, 840] from Operation: 24*35=840
Current State: 67:[52, 56, 840], Operations: ['24*35=840']
Exploring Operation: 840/56=15, Resulting Numbers: [52, 15]
Generated Node #3: [52, 15] from Operation: 840/56=15
Current State: 67:[52, 15], Operations: ['24*35=840', '840/56=15']
Exploring Operation: 52+15=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
94,
20,
79,
38
] | 43 | [
"94-20=74",
"79+38=117",
"117-74=43"
] | Current State: 43:[94, 20, 79, 38], Operations: []
Exploring Operation: 94-20=74, Resulting Numbers: [79, 38, 74]
Generated Node #2: [79, 38, 74] from Operation: 94-20=74
Current State: 43:[79, 38, 74], Operations: ['94-20=74']
Exploring Operation: 79+38=117, Resulting Numbers: [74, 117]
Generated Node #3: [74, 117] from Operation: 79+38=117
Current State: 43:[74, 117], Operations: ['94-20=74', '79+38=117']
Exploring Operation: 117-74=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
52,
28,
18,
50
] | 12 | [
"52+28=80",
"18+50=68",
"80-68=12"
] | Current State: 12:[52, 28, 18, 50], Operations: []
Exploring Operation: 52+28=80, Resulting Numbers: [18, 50, 80]
Generated Node #2: [18, 50, 80] from Operation: 52+28=80
Current State: 12:[18, 50, 80], Operations: ['52+28=80']
Exploring Operation: 18+50=68, Resulting Numbers: [80, 68]
Generated Node #3: [80, 68] from Operation: 18+50=68
Current State: 12:[80, 68], Operations: ['52+28=80', '18+50=68']
Exploring Operation: 80-68=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
47,
44,
8,
4
] | 79 | [
"47+44=91",
"8+4=12",
"91-12=79"
] | Current State: 79:[47, 44, 8, 4], Operations: []
Exploring Operation: 47+44=91, Resulting Numbers: [8, 4, 91]
Generated Node #2: [8, 4, 91] from Operation: 47+44=91
Current State: 79:[8, 4, 91], Operations: ['47+44=91']
Exploring Operation: 8+4=12, Resulting Numbers: [91, 12]
Generated Node #3: [91, 12] from Operation: 8+4=12
Current State: 79:[91, 12], Operations: ['47+44=91', '8+4=12']
Exploring Operation: 91-12=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
5,
11,
14,
28
] | 23 | [
"11+14=25",
"25/5=5",
"28-5=23"
] | Current State: 23:[5, 11, 14, 28], Operations: []
Exploring Operation: 11+14=25, Resulting Numbers: [5, 28, 25]
Generated Node #2: [5, 28, 25] from Operation: 11+14=25
Current State: 23:[5, 28, 25], Operations: ['11+14=25']
Exploring Operation: 25/5=5, Resulting Numbers: [28, 5]
Generated Node #3: [28, 5] from Operation: 25/5=5
Current State: 23:[28, 5], Operations: ['11+14=25', '25/5=5']
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
82,
2,
38,
34
] | 77 | [
"82+38=120",
"34+120=154",
"154/2=77"
] | Current State: 77:[82, 2, 38, 34], Operations: []
Exploring Operation: 82+38=120, Resulting Numbers: [2, 34, 120]
Generated Node #2: [2, 34, 120] from Operation: 82+38=120
Current State: 77:[2, 34, 120], Operations: ['82+38=120']
Exploring Operation: 34+120=154, Resulting Numbers: [2, 154]
Generated Node #3: [2, 154] from Operation: 34+120=154
Current State: 77:[2, 154], Operations: ['82+38=120', '34+120=154']
Exploring Operation: 154/2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
72,
83,
94,
71
] | 15 | [
"83-72=11",
"94+71=165",
"165/11=15"
] | Current State: 15:[72, 83, 94, 71], Operations: []
Exploring Operation: 83-72=11, Resulting Numbers: [94, 71, 11]
Generated Node #2: [94, 71, 11] from Operation: 83-72=11
Current State: 15:[94, 71, 11], Operations: ['83-72=11']
Exploring Operation: 94+71=165, Resulting Numbers: [11, 165]
Generated Node #3: [11, 165] from Operation: 94+71=165
Current State: 15:[11, 165], Operations: ['83-72=11', '94+71=165']
Exploring Operation: 165/11=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
21,
18,
86,
52
] | 73 | [
"21+18=39",
"86-52=34",
"39+34=73"
] | Current State: 73:[21, 18, 86, 52], Operations: []
Exploring Operation: 21+18=39, Resulting Numbers: [86, 52, 39]
Generated Node #2: [86, 52, 39] from Operation: 21+18=39
Current State: 73:[86, 52, 39], Operations: ['21+18=39']
Exploring Operation: 86-52=34, Resulting Numbers: [39, 34]
Generated Node #3: [39, 34] from Operation: 86-52=34
Current State: 73:[39, 34], Operations: ['21+18=39', '86-52=34']
Exploring Operation: 39+34=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
74,
44,
22,
38
] | 90 | [
"74-44=30",
"22+38=60",
"30+60=90"
] | Current State: 90:[74, 44, 22, 38], Operations: []
Exploring Operation: 74-44=30, Resulting Numbers: [22, 38, 30]
Generated Node #2: [22, 38, 30] from Operation: 74-44=30
Current State: 90:[22, 38, 30], Operations: ['74-44=30']
Exploring Operation: 22+38=60, Resulting Numbers: [30, 60]
Generated Node #3: [30, 60] from Operation: 22+38=60
Current State: 90:[30, 60], Operations: ['74-44=30', '22+38=60']
Exploring Operation: 30+60=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
8,
15,
88,
51
] | 83 | [
"8*15=120",
"88-51=37",
"120-37=83"
] | Current State: 83:[8, 15, 88, 51], Operations: []
Exploring Operation: 8*15=120, Resulting Numbers: [88, 51, 120]
Generated Node #2: [88, 51, 120] from Operation: 8*15=120
Current State: 83:[88, 51, 120], Operations: ['8*15=120']
Exploring Operation: 88-51=37, Resulting Numbers: [120, 37]
Generated Node #3: [120, 37] from Operation: 88-51=37
Current State: 83:[120, 37], Operations: ['8*15=120', '88-51=37']
Exploring Operation: 120-37=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
90,
53,
15,
80
] | 58 | [
"90-53=37",
"15+80=95",
"95-37=58"
] | Current State: 58:[90, 53, 15, 80], Operations: []
Exploring Operation: 90-53=37, Resulting Numbers: [15, 80, 37]
Generated Node #2: [15, 80, 37] from Operation: 90-53=37
Current State: 58:[15, 80, 37], Operations: ['90-53=37']
Exploring Operation: 15+80=95, Resulting Numbers: [37, 95]
Generated Node #3: [37, 95] from Operation: 15+80=95
Current State: 58:[37, 95], Operations: ['90-53=37', '15+80=95']
Exploring Operation: 95-37=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
52,
20,
44,
92
] | 42 | [
"92-52=40",
"40/20=2",
"44-2=42"
] | Current State: 42:[52, 20, 44, 92], Operations: []
Exploring Operation: 92-52=40, Resulting Numbers: [20, 44, 40]
Generated Node #2: [20, 44, 40] from Operation: 92-52=40
Current State: 42:[20, 44, 40], Operations: ['92-52=40']
Exploring Operation: 40/20=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 40/20=2
Current State: 42:[44, 2], Operations: ['92-52=40', '40/20=2']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
62,
42,
91,
68
] | 84 | [
"68-62=6",
"42/6=7",
"91-7=84"
] | Current State: 84:[62, 42, 91, 68], Operations: []
Exploring Operation: 68-62=6, Resulting Numbers: [42, 91, 6]
Generated Node #2: [42, 91, 6] from Operation: 68-62=6
Current State: 84:[42, 91, 6], Operations: ['68-62=6']
Exploring Operation: 42/6=7, Resulting Numbers: [91, 7]
Generated Node #3: [91, 7] from Operation: 42/6=7
Current State: 84:[91, 7], Operations: ['68-62=6', '42/6=7']
Exploring Operation: 91-7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
6,
84,
16,
66
] | 68 | [
"84/6=14",
"16+66=82",
"82-14=68"
] | Current State: 68:[6, 84, 16, 66], Operations: []
Exploring Operation: 84/6=14, Resulting Numbers: [16, 66, 14]
Generated Node #2: [16, 66, 14] from Operation: 84/6=14
Current State: 68:[16, 66, 14], Operations: ['84/6=14']
Exploring Operation: 16+66=82, Resulting Numbers: [14, 82]
Generated Node #3: [14, 82] from Operation: 16+66=82
Current State: 68:[14, 82], Operations: ['84/6=14', '16+66=82']
Exploring Operation: 82-14=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
25,
73,
51,
25
] | 72 | [
"25+73=98",
"51-25=26",
"98-26=72"
] | Current State: 72:[25, 73, 51, 25], Operations: []
Exploring Operation: 25+73=98, Resulting Numbers: [51, 98]
Generated Node #2: [51, 98] from Operation: 25+73=98
Current State: 72:[51, 98], Operations: ['25+73=98']
Exploring Operation: 51-25=26, Resulting Numbers: [98, 26]
Generated Node #3: [98, 26] from Operation: 51-25=26
Current State: 72:[98, 26], Operations: ['25+73=98', '51-25=26']
Exploring Operation: 98-26=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
91,
13,
53,
77
] | 42 | [
"91/13=7",
"77/7=11",
"53-11=42"
] | Current State: 42:[91, 13, 53, 77], Operations: []
Exploring Operation: 91/13=7, Resulting Numbers: [53, 77, 7]
Generated Node #2: [53, 77, 7] from Operation: 91/13=7
Current State: 42:[53, 77, 7], Operations: ['91/13=7']
Exploring Operation: 77/7=11, Resulting Numbers: [53, 11]
Generated Node #3: [53, 11] from Operation: 77/7=11
Current State: 42:[53, 11], Operations: ['91/13=7', '77/7=11']
Exploring Operation: 53-11=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
33,
4,
31,
17
] | 51 | [
"33+4=37",
"31-17=14",
"37+14=51"
] | Current State: 51:[33, 4, 31, 17], Operations: []
Exploring Operation: 33+4=37, Resulting Numbers: [31, 17, 37]
Generated Node #2: [31, 17, 37] from Operation: 33+4=37
Current State: 51:[31, 17, 37], Operations: ['33+4=37']
Exploring Operation: 31-17=14, Resulting Numbers: [37, 14]
Generated Node #3: [37, 14] from Operation: 31-17=14
Current State: 51:[37, 14], Operations: ['33+4=37', '31-17=14']
Exploring Operation: 37+14=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
83,
33,
80,
13
] | 24 | [
"83-80=3",
"33/3=11",
"13+11=24"
] | Current State: 24:[83, 33, 80, 13], Operations: []
Exploring Operation: 83-80=3, Resulting Numbers: [33, 13, 3]
Generated Node #2: [33, 13, 3] from Operation: 83-80=3
Current State: 24:[33, 13, 3], Operations: ['83-80=3']
Exploring Operation: 33/3=11, Resulting Numbers: [13, 11]
Generated Node #3: [13, 11] from Operation: 33/3=11
Current State: 24:[13, 11], Operations: ['83-80=3', '33/3=11']
Exploring Operation: 13+11=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
15,
22,
3,
14
] | 37 | [
"15*3=45",
"22-14=8",
"45-8=37"
] | Current State: 37:[15, 22, 3, 14], Operations: []
Exploring Operation: 15*3=45, Resulting Numbers: [22, 14, 45]
Generated Node #2: [22, 14, 45] from Operation: 15*3=45
Current State: 37:[22, 14, 45], Operations: ['15*3=45']
Exploring Operation: 22-14=8, Resulting Numbers: [45, 8]
Generated Node #3: [45, 8] from Operation: 22-14=8
Current State: 37:[45, 8], Operations: ['15*3=45', '22-14=8']
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
23,
69,
28,
87
] | 57 | [
"69/23=3",
"87/3=29",
"28+29=57"
] | Current State: 57:[23, 69, 28, 87], Operations: []
Exploring Operation: 69/23=3, Resulting Numbers: [28, 87, 3]
Generated Node #2: [28, 87, 3] from Operation: 69/23=3
Current State: 57:[28, 87, 3], Operations: ['69/23=3']
Exploring Operation: 87/3=29, Resulting Numbers: [28, 29]
Generated Node #3: [28, 29] from Operation: 87/3=29
Current State: 57:[28, 29], Operations: ['69/23=3', '87/3=29']
Exploring Operation: 28+29=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
35,
43,
42,
26
] | 60 | [
"43-35=8",
"42+26=68",
"68-8=60"
] | Current State: 60:[35, 43, 42, 26], Operations: []
Exploring Operation: 43-35=8, Resulting Numbers: [42, 26, 8]
Generated Node #2: [42, 26, 8] from Operation: 43-35=8
Current State: 60:[42, 26, 8], Operations: ['43-35=8']
Exploring Operation: 42+26=68, Resulting Numbers: [8, 68]
Generated Node #3: [8, 68] from Operation: 42+26=68
Current State: 60:[8, 68], Operations: ['43-35=8', '42+26=68']
Exploring Operation: 68-8=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
76,
67,
64,
15
] | 71 | [
"76-67=9",
"15*9=135",
"135-64=71"
] | Current State: 71:[76, 67, 64, 15], Operations: []
Exploring Operation: 76-67=9, Resulting Numbers: [64, 15, 9]
Generated Node #2: [64, 15, 9] from Operation: 76-67=9
Current State: 71:[64, 15, 9], Operations: ['76-67=9']
Exploring Operation: 15*9=135, Resulting Numbers: [64, 135]
Generated Node #3: [64, 135] from Operation: 15*9=135
Current State: 71:[64, 135], Operations: ['76-67=9', '15*9=135']
Exploring Operation: 135-64=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
21,
66,
50,
19
] | 56 | [
"21+66=87",
"50-19=31",
"87-31=56"
] | Current State: 56:[21, 66, 50, 19], Operations: []
Exploring Operation: 21+66=87, Resulting Numbers: [50, 19, 87]
Generated Node #2: [50, 19, 87] from Operation: 21+66=87
Current State: 56:[50, 19, 87], Operations: ['21+66=87']
Exploring Operation: 50-19=31, Resulting Numbers: [87, 31]
Generated Node #3: [87, 31] from Operation: 50-19=31
Current State: 56:[87, 31], Operations: ['21+66=87', '50-19=31']
Exploring Operation: 87-31=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
91,
42,
46,
93
] | 67 | [
"93-91=2",
"42/2=21",
"46+21=67"
] | Current State: 67:[91, 42, 46, 93], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [42, 46, 2]
Generated Node #2: [42, 46, 2] from Operation: 93-91=2
Current State: 67:[42, 46, 2], Operations: ['93-91=2']
Exploring Operation: 42/2=21, Resulting Numbers: [46, 21]
Generated Node #3: [46, 21] from Operation: 42/2=21
Current State: 67:[46, 21], Operations: ['93-91=2', '42/2=21']
Exploring Operation: 46+21=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
13,
33,
61,
4
] | 56 | [
"33-13=20",
"20/4=5",
"61-5=56"
] | Current State: 56:[13, 33, 61, 4], Operations: []
Exploring Operation: 33-13=20, Resulting Numbers: [61, 4, 20]
Generated Node #2: [61, 4, 20] from Operation: 33-13=20
Current State: 56:[61, 4, 20], Operations: ['33-13=20']
Exploring Operation: 20/4=5, Resulting Numbers: [61, 5]
Generated Node #3: [61, 5] from Operation: 20/4=5
Current State: 56:[61, 5], Operations: ['33-13=20', '20/4=5']
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
4,
44,
70,
24
] | 20 | [
"24/4=6",
"70-44=26",
"26-6=20"
] | Current State: 20:[4, 44, 70, 24], Operations: []
Exploring Operation: 24/4=6, Resulting Numbers: [44, 70, 6]
Generated Node #2: [44, 70, 6] from Operation: 24/4=6
Current State: 20:[44, 70, 6], Operations: ['24/4=6']
Exploring Operation: 70-44=26, Resulting Numbers: [6, 26]
Generated Node #3: [6, 26] from Operation: 70-44=26
Current State: 20:[6, 26], Operations: ['24/4=6', '70-44=26']
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
74,
54,
27,
55
] | 21 | [
"74-55=19",
"54/27=2",
"19+2=21"
] | Current State: 21:[74, 54, 27, 55], Operations: []
Exploring Operation: 74-55=19, Resulting Numbers: [54, 27, 19]
Generated Node #2: [54, 27, 19] from Operation: 74-55=19
Current State: 21:[54, 27, 19], Operations: ['74-55=19']
Exploring Operation: 54/27=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 54/27=2
Current State: 21:[19, 2], Operations: ['74-55=19', '54/27=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
41,
41,
53,
80
] | 55 | [
"41+41=82",
"80-53=27",
"82-27=55"
] | Current State: 55:[41, 41, 53, 80], Operations: []
Exploring Operation: 41+41=82, Resulting Numbers: [53, 80, 82]
Generated Node #2: [53, 80, 82] from Operation: 41+41=82
Current State: 55:[53, 80, 82], Operations: ['41+41=82']
Exploring Operation: 80-53=27, Resulting Numbers: [82, 27]
Generated Node #3: [82, 27] from Operation: 80-53=27
Current State: 55:[82, 27], Operations: ['41+41=82', '80-53=27']
Exploring Operation: 82-27=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
84,
32,
71,
36
] | 50 | [
"36-32=4",
"84/4=21",
"71-21=50"
] | Current State: 50:[84, 32, 71, 36], Operations: []
Exploring Operation: 36-32=4, Resulting Numbers: [84, 71, 4]
Generated Node #2: [84, 71, 4] from Operation: 36-32=4
Current State: 50:[84, 71, 4], Operations: ['36-32=4']
Exploring Operation: 84/4=21, Resulting Numbers: [71, 21]
Generated Node #3: [71, 21] from Operation: 84/4=21
Current State: 50:[71, 21], Operations: ['36-32=4', '84/4=21']
Exploring Operation: 71-21=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
88,
15,
71,
12
] | 44 | [
"88+15=103",
"71-12=59",
"103-59=44"
] | Current State: 44:[88, 15, 71, 12], Operations: []
Exploring Operation: 88+15=103, Resulting Numbers: [71, 12, 103]
Generated Node #2: [71, 12, 103] from Operation: 88+15=103
Current State: 44:[71, 12, 103], Operations: ['88+15=103']
Exploring Operation: 71-12=59, Resulting Numbers: [103, 59]
Generated Node #3: [103, 59] from Operation: 71-12=59
Current State: 44:[103, 59], Operations: ['88+15=103', '71-12=59']
Exploring Operation: 103-59=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
70,
90,
78,
8
] | 50 | [
"90-70=20",
"78-8=70",
"70-20=50"
] | Current State: 50:[70, 90, 78, 8], Operations: []
Exploring Operation: 90-70=20, Resulting Numbers: [78, 8, 20]
Generated Node #2: [78, 8, 20] from Operation: 90-70=20
Current State: 50:[78, 8, 20], Operations: ['90-70=20']
Exploring Operation: 78-8=70, Resulting Numbers: [20, 70]
Generated Node #3: [20, 70] from Operation: 78-8=70
Current State: 50:[20, 70], Operations: ['90-70=20', '78-8=70']
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
17,
23,
3,
23
] | 97 | [
"17+23=40",
"3*40=120",
"120-23=97"
] | Current State: 97:[17, 23, 3, 23], Operations: []
Exploring Operation: 17+23=40, Resulting Numbers: [3, 40]
Generated Node #2: [3, 40] from Operation: 17+23=40
Current State: 97:[3, 40], Operations: ['17+23=40']
Exploring Operation: 3*40=120, Resulting Numbers: [120]
120,97 equal: Goal Reached
Exploring Operation: 120-23=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
49,
83,
41,
2
] | 87 | [
"49-41=8",
"8/2=4",
"83+4=87"
] | Current State: 87:[49, 83, 41, 2], Operations: []
Exploring Operation: 49-41=8, Resulting Numbers: [83, 2, 8]
Generated Node #2: [83, 2, 8] from Operation: 49-41=8
Current State: 87:[83, 2, 8], Operations: ['49-41=8']
Exploring Operation: 8/2=4, Resulting Numbers: [83, 4]
Generated Node #3: [83, 4] from Operation: 8/2=4
Current State: 87:[83, 4], Operations: ['49-41=8', '8/2=4']
Exploring Operation: 83+4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
2,
74,
48,
16
] | 79 | [
"2+74=76",
"48/16=3",
"76+3=79"
] | Current State: 79:[2, 74, 48, 16], Operations: []
Exploring Operation: 2+74=76, Resulting Numbers: [48, 16, 76]
Generated Node #2: [48, 16, 76] from Operation: 2+74=76
Current State: 79:[48, 16, 76], Operations: ['2+74=76']
Exploring Operation: 48/16=3, Resulting Numbers: [76, 3]
Generated Node #3: [76, 3] from Operation: 48/16=3
Current State: 79:[76, 3], Operations: ['2+74=76', '48/16=3']
Exploring Operation: 76+3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
91,
25,
39,
12
] | 53 | [
"91*12=1092",
"1092/39=28",
"25+28=53"
] | Current State: 53:[91, 25, 39, 12], Operations: []
Exploring Operation: 91*12=1092, Resulting Numbers: [25, 39, 1092]
Generated Node #2: [25, 39, 1092] from Operation: 91*12=1092
Current State: 53:[25, 39, 1092], Operations: ['91*12=1092']
Exploring Operation: 1092/39=28, Resulting Numbers: [25, 28]
Generated Node #3: [25, 28] from Operation: 1092/39=28
Current State: 53:[25, 28], Operations: ['91*12=1092', '1092/39=28']
Exploring Operation: 25+28=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
55,
95,
70,
80
] | 72 | [
"95-55=40",
"80/40=2",
"70+2=72"
] | Current State: 72:[55, 95, 70, 80], Operations: []
Exploring Operation: 95-55=40, Resulting Numbers: [70, 80, 40]
Generated Node #2: [70, 80, 40] from Operation: 95-55=40
Current State: 72:[70, 80, 40], Operations: ['95-55=40']
Exploring Operation: 80/40=2, Resulting Numbers: [70, 2]
Generated Node #3: [70, 2] from Operation: 80/40=2
Current State: 72:[70, 2], Operations: ['95-55=40', '80/40=2']
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
20,
41,
28,
16
] | 82 | [
"28-20=8",
"41*16=656",
"656/8=82"
] | Current State: 82:[20, 41, 28, 16], Operations: []
Exploring Operation: 28-20=8, Resulting Numbers: [41, 16, 8]
Generated Node #2: [41, 16, 8] from Operation: 28-20=8
Current State: 82:[41, 16, 8], Operations: ['28-20=8']
Exploring Operation: 41*16=656, Resulting Numbers: [8, 656]
Generated Node #3: [8, 656] from Operation: 41*16=656
Current State: 82:[8, 656], Operations: ['28-20=8', '41*16=656']
Exploring Operation: 656/8=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
88,
11,
22,
43
] | 12 | [
"88-11=77",
"22+43=65",
"77-65=12"
] | Current State: 12:[88, 11, 22, 43], Operations: []
Exploring Operation: 88-11=77, Resulting Numbers: [22, 43, 77]
Generated Node #2: [22, 43, 77] from Operation: 88-11=77
Current State: 12:[22, 43, 77], Operations: ['88-11=77']
Exploring Operation: 22+43=65, Resulting Numbers: [77, 65]
Generated Node #3: [77, 65] from Operation: 22+43=65
Current State: 12:[77, 65], Operations: ['88-11=77', '22+43=65']
Exploring Operation: 77-65=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
11,
45,
2,
83
] | 88 | [
"11-2=9",
"45/9=5",
"83+5=88"
] | Current State: 88:[11, 45, 2, 83], Operations: []
Exploring Operation: 11-2=9, Resulting Numbers: [45, 83, 9]
Generated Node #2: [45, 83, 9] from Operation: 11-2=9
Current State: 88:[45, 83, 9], Operations: ['11-2=9']
Exploring Operation: 45/9=5, Resulting Numbers: [83, 5]
Generated Node #3: [83, 5] from Operation: 45/9=5
Current State: 88:[83, 5], Operations: ['11-2=9', '45/9=5']
Exploring Operation: 83+5=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
16,
18,
28,
2
] | 64 | [
"16+18=34",
"28+2=30",
"34+30=64"
] | Current State: 64:[16, 18, 28, 2], Operations: []
Exploring Operation: 16+18=34, Resulting Numbers: [28, 2, 34]
Generated Node #2: [28, 2, 34] from Operation: 16+18=34
Current State: 64:[28, 2, 34], Operations: ['16+18=34']
Exploring Operation: 28+2=30, Resulting Numbers: [34, 30]
Generated Node #3: [34, 30] from Operation: 28+2=30
Current State: 64:[34, 30], Operations: ['16+18=34', '28+2=30']
Exploring Operation: 34+30=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
14,
90,
19,
50
] | 32 | [
"19-14=5",
"90/5=18",
"50-18=32"
] | Current State: 32:[14, 90, 19, 50], Operations: []
Exploring Operation: 19-14=5, Resulting Numbers: [90, 50, 5]
Generated Node #2: [90, 50, 5] from Operation: 19-14=5
Current State: 32:[90, 50, 5], Operations: ['19-14=5']
Exploring Operation: 90/5=18, Resulting Numbers: [50, 18]
Generated Node #3: [50, 18] from Operation: 90/5=18
Current State: 32:[50, 18], Operations: ['19-14=5', '90/5=18']
Exploring Operation: 50-18=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
22,
58,
43,
20
] | 59 | [
"58-22=36",
"43-20=23",
"36+23=59"
] | Current State: 59:[22, 58, 43, 20], Operations: []
Exploring Operation: 58-22=36, Resulting Numbers: [43, 20, 36]
Generated Node #2: [43, 20, 36] from Operation: 58-22=36
Current State: 59:[43, 20, 36], Operations: ['58-22=36']
Exploring Operation: 43-20=23, Resulting Numbers: [36, 23]
Generated Node #3: [36, 23] from Operation: 43-20=23
Current State: 59:[36, 23], Operations: ['58-22=36', '43-20=23']
Exploring Operation: 36+23=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
94,
29,
21,
2
] | 100 | [
"94+29=123",
"21+2=23",
"123-23=100"
] | Current State: 100:[94, 29, 21, 2], Operations: []
Exploring Operation: 94+29=123, Resulting Numbers: [21, 2, 123]
Generated Node #2: [21, 2, 123] from Operation: 94+29=123
Current State: 100:[21, 2, 123], Operations: ['94+29=123']
Exploring Operation: 21+2=23, Resulting Numbers: [123, 23]
Generated Node #3: [123, 23] from Operation: 21+2=23
Current State: 100:[123, 23], Operations: ['94+29=123', '21+2=23']
Exploring Operation: 123-23=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
37,
26,
84,
1
] | 74 | [
"37-26=11",
"84+1=85",
"85-11=74"
] | Current State: 74:[37, 26, 84, 1], Operations: []
Exploring Operation: 37-26=11, Resulting Numbers: [84, 1, 11]
Generated Node #2: [84, 1, 11] from Operation: 37-26=11
Current State: 74:[84, 1, 11], Operations: ['37-26=11']
Exploring Operation: 84+1=85, Resulting Numbers: [11, 85]
Generated Node #3: [11, 85] from Operation: 84+1=85
Current State: 74:[11, 85], Operations: ['37-26=11', '84+1=85']
Exploring Operation: 85-11=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
81,
2,
36,
81
] | 73 | [
"81/81=1",
"2*36=72",
"1+72=73"
] | Current State: 73:[81, 2, 36, 81], Operations: []
Exploring Operation: 81/81=1, Resulting Numbers: [2, 36, 1]
Generated Node #2: [2, 36, 1] from Operation: 81/81=1
Current State: 73:[2, 36, 1], Operations: ['81/81=1']
Exploring Operation: 2*36=72, Resulting Numbers: [1, 72]
Generated Node #3: [1, 72] from Operation: 2*36=72
Current State: 73:[1, 72], Operations: ['81/81=1', '2*36=72']
Exploring Operation: 1+72=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
71,
20,
2,
82
] | 40 | [
"71*2=142",
"20+82=102",
"142-102=40"
] | Current State: 40:[71, 20, 2, 82], Operations: []
Exploring Operation: 71*2=142, Resulting Numbers: [20, 82, 142]
Generated Node #2: [20, 82, 142] from Operation: 71*2=142
Current State: 40:[20, 82, 142], Operations: ['71*2=142']
Exploring Operation: 20+82=102, Resulting Numbers: [142, 102]
Generated Node #3: [142, 102] from Operation: 20+82=102
Current State: 40:[142, 102], Operations: ['71*2=142', '20+82=102']
Exploring Operation: 142-102=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
68,
71,
60,
12
] | 67 | [
"68+71=139",
"60+12=72",
"139-72=67"
] | Current State: 67:[68, 71, 60, 12], Operations: []
Exploring Operation: 68+71=139, Resulting Numbers: [60, 12, 139]
Generated Node #2: [60, 12, 139] from Operation: 68+71=139
Current State: 67:[60, 12, 139], Operations: ['68+71=139']
Exploring Operation: 60+12=72, Resulting Numbers: [139, 72]
Generated Node #3: [139, 72] from Operation: 60+12=72
Current State: 67:[139, 72], Operations: ['68+71=139', '60+12=72']
Exploring Operation: 139-72=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
9,
88,
25,
64
] | 92 | [
"25-9=16",
"64/16=4",
"88+4=92"
] | Current State: 92:[9, 88, 25, 64], Operations: []
Exploring Operation: 25-9=16, Resulting Numbers: [88, 64, 16]
Generated Node #2: [88, 64, 16] from Operation: 25-9=16
Current State: 92:[88, 64, 16], Operations: ['25-9=16']
Exploring Operation: 64/16=4, Resulting Numbers: [88, 4]
Generated Node #3: [88, 4] from Operation: 64/16=4
Current State: 92:[88, 4], Operations: ['25-9=16', '64/16=4']
Exploring Operation: 88+4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
28,
48,
72,
64
] | 54 | [
"64-28=36",
"72*36=2592",
"2592/48=54"
] | Current State: 54:[28, 48, 72, 64], Operations: []
Exploring Operation: 64-28=36, Resulting Numbers: [48, 72, 36]
Generated Node #2: [48, 72, 36] from Operation: 64-28=36
Current State: 54:[48, 72, 36], Operations: ['64-28=36']
Exploring Operation: 72*36=2592, Resulting Numbers: [48, 2592]
Generated Node #3: [48, 2592] from Operation: 72*36=2592
Current State: 54:[48, 2592], Operations: ['64-28=36', '72*36=2592']
Exploring Operation: 2592/48=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
6,
32,
82,
25
] | 81 | [
"32-6=26",
"82+25=107",
"107-26=81"
] | Current State: 81:[6, 32, 82, 25], Operations: []
Exploring Operation: 32-6=26, Resulting Numbers: [82, 25, 26]
Generated Node #2: [82, 25, 26] from Operation: 32-6=26
Current State: 81:[82, 25, 26], Operations: ['32-6=26']
Exploring Operation: 82+25=107, Resulting Numbers: [26, 107]
Generated Node #3: [26, 107] from Operation: 82+25=107
Current State: 81:[26, 107], Operations: ['32-6=26', '82+25=107']
Exploring Operation: 107-26=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
35,
49,
91,
7
] | 14 | [
"35+49=84",
"91+7=98",
"98-84=14"
] | Current State: 14:[35, 49, 91, 7], Operations: []
Exploring Operation: 35+49=84, Resulting Numbers: [91, 7, 84]
Generated Node #2: [91, 7, 84] from Operation: 35+49=84
Current State: 14:[91, 7, 84], Operations: ['35+49=84']
Exploring Operation: 91+7=98, Resulting Numbers: [84, 98]
Generated Node #3: [84, 98] from Operation: 91+7=98
Current State: 14:[84, 98], Operations: ['35+49=84', '91+7=98']
Exploring Operation: 98-84=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
97,
3,
17,
98
] | 19 | [
"97+3=100",
"98-17=81",
"100-81=19"
] | Current State: 19:[97, 3, 17, 98], Operations: []
Exploring Operation: 97+3=100, Resulting Numbers: [17, 98, 100]
Generated Node #2: [17, 98, 100] from Operation: 97+3=100
Current State: 19:[17, 98, 100], Operations: ['97+3=100']
Exploring Operation: 98-17=81, Resulting Numbers: [100, 81]
Generated Node #3: [100, 81] from Operation: 98-17=81
Current State: 19:[100, 81], Operations: ['97+3=100', '98-17=81']
Exploring Operation: 100-81=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
57,
60,
50,
27
] | 74 | [
"60-57=3",
"50+27=77",
"77-3=74"
] | Current State: 74:[57, 60, 50, 27], Operations: []
Exploring Operation: 60-57=3, Resulting Numbers: [50, 27, 3]
Generated Node #2: [50, 27, 3] from Operation: 60-57=3
Current State: 74:[50, 27, 3], Operations: ['60-57=3']
Exploring Operation: 50+27=77, Resulting Numbers: [3, 77]
Generated Node #3: [3, 77] from Operation: 50+27=77
Current State: 74:[3, 77], Operations: ['60-57=3', '50+27=77']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
49,
25,
21,
51
] | 25 | [
"49+51=100",
"25-21=4",
"100/4=25"
] | Current State: 25:[49, 25, 21, 51], Operations: []
Exploring Operation: 49+51=100, Resulting Numbers: [25, 21, 100]
Generated Node #2: [25, 21, 100] from Operation: 49+51=100
Current State: 25:[25, 21, 100], Operations: ['49+51=100']
Exploring Operation: 25-21=4, Resulting Numbers: [100, 4]
Generated Node #3: [100, 4] from Operation: 25-21=4
Current State: 25:[100, 4], Operations: ['49+51=100', '25-21=4']
Exploring Operation: 100/4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
7,
50,
31,
65
] | 23 | [
"7+50=57",
"65-31=34",
"57-34=23"
] | Current State: 23:[7, 50, 31, 65], Operations: []
Exploring Operation: 7+50=57, Resulting Numbers: [31, 65, 57]
Generated Node #2: [31, 65, 57] from Operation: 7+50=57
Current State: 23:[31, 65, 57], Operations: ['7+50=57']
Exploring Operation: 65-31=34, Resulting Numbers: [57, 34]
Generated Node #3: [57, 34] from Operation: 65-31=34
Current State: 23:[57, 34], Operations: ['7+50=57', '65-31=34']
Exploring Operation: 57-34=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
35,
35,
71,
94
] | 23 | [
"35-35=0",
"94-71=23",
"0+23=23"
] | Current State: 23:[35, 35, 71, 94], Operations: []
Exploring Operation: 35-35=0, Resulting Numbers: [71, 94, 0]
Generated Node #2: [71, 94, 0] from Operation: 35-35=0
Current State: 23:[71, 94, 0], Operations: ['35-35=0']
Exploring Operation: 94-71=23, Resulting Numbers: [0, 23]
Generated Node #3: [0, 23] from Operation: 94-71=23
Current State: 23:[0, 23], Operations: ['35-35=0', '94-71=23']
Exploring Operation: 0+23=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
8,
4,
77,
17
] | 17 | [
"8+77=85",
"4*17=68",
"85-68=17"
] | Current State: 17:[8, 4, 77, 17], Operations: []
Exploring Operation: 8+77=85, Resulting Numbers: [4, 17, 85]
Generated Node #2: [4, 17, 85] from Operation: 8+77=85
Current State: 17:[4, 17, 85], Operations: ['8+77=85']
Exploring Operation: 4*17=68, Resulting Numbers: [85, 68]
Generated Node #3: [85, 68] from Operation: 4*17=68
Current State: 17:[85, 68], Operations: ['8+77=85', '4*17=68']
Exploring Operation: 85-68=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
12,
93,
10,
82
] | 12 | [
"93-10=83",
"83-82=1",
"12*1=12"
] | Current State: 12:[12, 93, 10, 82], Operations: []
Exploring Operation: 93-10=83, Resulting Numbers: [12, 82, 83]
Generated Node #2: [12, 82, 83] from Operation: 93-10=83
Current State: 12:[12, 82, 83], Operations: ['93-10=83']
Exploring Operation: 83-82=1, Resulting Numbers: [12, 1]
Generated Node #3: [12, 1] from Operation: 83-82=1
Current State: 12:[12, 1], Operations: ['93-10=83', '83-82=1']
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
12,
16,
32,
49
] | 77 | [
"16-12=4",
"32+49=81",
"81-4=77"
] | Current State: 77:[12, 16, 32, 49], Operations: []
Exploring Operation: 16-12=4, Resulting Numbers: [32, 49, 4]
Generated Node #2: [32, 49, 4] from Operation: 16-12=4
Current State: 77:[32, 49, 4], Operations: ['16-12=4']
Exploring Operation: 32+49=81, Resulting Numbers: [4, 81]
Generated Node #3: [4, 81] from Operation: 32+49=81
Current State: 77:[4, 81], Operations: ['16-12=4', '32+49=81']
Exploring Operation: 81-4=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
60,
79,
5,
36
] | 82 | [
"60/5=12",
"36/12=3",
"79+3=82"
] | Current State: 82:[60, 79, 5, 36], Operations: []
Exploring Operation: 60/5=12, Resulting Numbers: [79, 36, 12]
Generated Node #2: [79, 36, 12] from Operation: 60/5=12
Current State: 82:[79, 36, 12], Operations: ['60/5=12']
Exploring Operation: 36/12=3, Resulting Numbers: [79, 3]
Generated Node #3: [79, 3] from Operation: 36/12=3
Current State: 82:[79, 3], Operations: ['60/5=12', '36/12=3']
Exploring Operation: 79+3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
23,
15,
18,
82
] | 17 | [
"23+18=41",
"82/41=2",
"15+2=17"
] | Current State: 17:[23, 15, 18, 82], Operations: []
Exploring Operation: 23+18=41, Resulting Numbers: [15, 82, 41]
Generated Node #2: [15, 82, 41] from Operation: 23+18=41
Current State: 17:[15, 82, 41], Operations: ['23+18=41']
Exploring Operation: 82/41=2, Resulting Numbers: [15, 2]
Generated Node #3: [15, 2] from Operation: 82/41=2
Current State: 17:[15, 2], Operations: ['23+18=41', '82/41=2']
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
12,
33,
46,
51
] | 39 | [
"33+51=84",
"84/12=7",
"46-7=39"
] | Current State: 39:[12, 33, 46, 51], Operations: []
Exploring Operation: 33+51=84, Resulting Numbers: [12, 46, 84]
Generated Node #2: [12, 46, 84] from Operation: 33+51=84
Current State: 39:[12, 46, 84], Operations: ['33+51=84']
Exploring Operation: 84/12=7, Resulting Numbers: [46, 7]
Generated Node #3: [46, 7] from Operation: 84/12=7
Current State: 39:[46, 7], Operations: ['33+51=84', '84/12=7']
Exploring Operation: 46-7=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
58,
99,
7,
24
] | 58 | [
"99-58=41",
"24-7=17",
"41+17=58"
] | Current State: 58:[58, 99, 7, 24], Operations: []
Exploring Operation: 99-58=41, Resulting Numbers: [7, 24, 41]
Generated Node #2: [7, 24, 41] from Operation: 99-58=41
Current State: 58:[7, 24, 41], Operations: ['99-58=41']
Exploring Operation: 24-7=17, Resulting Numbers: [41, 17]
Generated Node #3: [41, 17] from Operation: 24-7=17
Current State: 58:[41, 17], Operations: ['99-58=41', '24-7=17']
Exploring Operation: 41+17=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
56,
81,
34,
18
] | 41 | [
"81-56=25",
"34-18=16",
"25+16=41"
] | Current State: 41:[56, 81, 34, 18], Operations: []
Exploring Operation: 81-56=25, Resulting Numbers: [34, 18, 25]
Generated Node #2: [34, 18, 25] from Operation: 81-56=25
Current State: 41:[34, 18, 25], Operations: ['81-56=25']
Exploring Operation: 34-18=16, Resulting Numbers: [25, 16]
Generated Node #3: [25, 16] from Operation: 34-18=16
Current State: 41:[25, 16], Operations: ['81-56=25', '34-18=16']
Exploring Operation: 25+16=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
83,
8,
72,
22
] | 10 | [
"83-72=11",
"22/11=2",
"8+2=10"
] | Current State: 10:[83, 8, 72, 22], Operations: []
Exploring Operation: 83-72=11, Resulting Numbers: [8, 22, 11]
Generated Node #2: [8, 22, 11] from Operation: 83-72=11
Current State: 10:[8, 22, 11], Operations: ['83-72=11']
Exploring Operation: 22/11=2, Resulting Numbers: [8, 2]
Generated Node #3: [8, 2] from Operation: 22/11=2
Current State: 10:[8, 2], Operations: ['83-72=11', '22/11=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
5,
10,
84,
94
] | 100 | [
"84-10=74",
"94-74=20",
"5*20=100"
] | Current State: 100:[5, 10, 84, 94], Operations: []
Exploring Operation: 84-10=74, Resulting Numbers: [5, 94, 74]
Generated Node #2: [5, 94, 74] from Operation: 84-10=74
Current State: 100:[5, 94, 74], Operations: ['84-10=74']
Exploring Operation: 94-74=20, Resulting Numbers: [5, 20]
Generated Node #3: [5, 20] from Operation: 94-74=20
Current State: 100:[5, 20], Operations: ['84-10=74', '94-74=20']
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
11,
80,
58,
35
] | 46 | [
"80-11=69",
"58-35=23",
"69-23=46"
] | Current State: 46:[11, 80, 58, 35], Operations: []
Exploring Operation: 80-11=69, Resulting Numbers: [58, 35, 69]
Generated Node #2: [58, 35, 69] from Operation: 80-11=69
Current State: 46:[58, 35, 69], Operations: ['80-11=69']
Exploring Operation: 58-35=23, Resulting Numbers: [69, 23]
Generated Node #3: [69, 23] from Operation: 58-35=23
Current State: 46:[69, 23], Operations: ['80-11=69', '58-35=23']
Exploring Operation: 69-23=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
61,
25,
49,
21
] | 48 | [
"61-49=12",
"25-21=4",
"12*4=48"
] | Current State: 48:[61, 25, 49, 21], Operations: []
Exploring Operation: 61-49=12, Resulting Numbers: [25, 21, 12]
Generated Node #2: [25, 21, 12] from Operation: 61-49=12
Current State: 48:[25, 21, 12], Operations: ['61-49=12']
Exploring Operation: 25-21=4, Resulting Numbers: [12, 4]
Generated Node #3: [12, 4] from Operation: 25-21=4
Current State: 48:[12, 4], Operations: ['61-49=12', '25-21=4']
Exploring Operation: 12*4=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
20,
4,
37,
91
] | 77 | [
"91-20=71",
"4*37=148",
"148-71=77"
] | Current State: 77:[20, 4, 37, 91], Operations: []
Exploring Operation: 91-20=71, Resulting Numbers: [4, 37, 71]
Generated Node #2: [4, 37, 71] from Operation: 91-20=71
Current State: 77:[4, 37, 71], Operations: ['91-20=71']
Exploring Operation: 4*37=148, Resulting Numbers: [71, 148]
Generated Node #3: [71, 148] from Operation: 4*37=148
Current State: 77:[71, 148], Operations: ['91-20=71', '4*37=148']
Exploring Operation: 148-71=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
68,
40,
88,
49
] | 68 | [
"88-40=48",
"49-48=1",
"68*1=68"
] | Current State: 68:[68, 40, 88, 49], Operations: []
Exploring Operation: 88-40=48, Resulting Numbers: [68, 49, 48]
Generated Node #2: [68, 49, 48] from Operation: 88-40=48
Current State: 68:[68, 49, 48], Operations: ['88-40=48']
Exploring Operation: 49-48=1, Resulting Numbers: [68, 1]
Generated Node #3: [68, 1] from Operation: 49-48=1
Current State: 68:[68, 1], Operations: ['88-40=48', '49-48=1']
Exploring Operation: 68*1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
22,
10,
70,
36
] | 65 | [
"22+36=58",
"70/10=7",
"58+7=65"
] | Current State: 65:[22, 10, 70, 36], Operations: []
Exploring Operation: 22+36=58, Resulting Numbers: [10, 70, 58]
Generated Node #2: [10, 70, 58] from Operation: 22+36=58
Current State: 65:[10, 70, 58], Operations: ['22+36=58']
Exploring Operation: 70/10=7, Resulting Numbers: [58, 7]
Generated Node #3: [58, 7] from Operation: 70/10=7
Current State: 65:[58, 7], Operations: ['22+36=58', '70/10=7']
Exploring Operation: 58+7=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
84,
67,
79,
85
] | 74 | [
"84-67=17",
"85/17=5",
"79-5=74"
] | Current State: 74:[84, 67, 79, 85], Operations: []
Exploring Operation: 84-67=17, Resulting Numbers: [79, 85, 17]
Generated Node #2: [79, 85, 17] from Operation: 84-67=17
Current State: 74:[79, 85, 17], Operations: ['84-67=17']
Exploring Operation: 85/17=5, Resulting Numbers: [79, 5]
Generated Node #3: [79, 5] from Operation: 85/17=5
Current State: 74:[79, 5], Operations: ['84-67=17', '85/17=5']
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.