nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
98,
26,
31,
61
] | 94 | [
"98+26=124",
"61-31=30",
"124-30=94"
] | Current State: 94:[98, 26, 31, 61], Operations: []
Exploring Operation: 98+26=124, Resulting Numbers: [31, 61, 124]
Generated Node #2: [31, 61, 124] from Operation: 98+26=124
Current State: 94:[31, 61, 124], Operations: ['98+26=124']
Exploring Operation: 61-31=30, Resulting Numbers: [124, 30]
Generated Node #3: [124, 30] from Operation: 61-31=30
Current State: 94:[124, 30], Operations: ['98+26=124', '61-31=30']
Exploring Operation: 124-30=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
92,
70,
25,
60
] | 94 | [
"60-25=35",
"70/35=2",
"92+2=94"
] | Current State: 94:[92, 70, 25, 60], Operations: []
Exploring Operation: 60-25=35, Resulting Numbers: [92, 70, 35]
Generated Node #2: [92, 70, 35] from Operation: 60-25=35
Current State: 94:[92, 70, 35], Operations: ['60-25=35']
Exploring Operation: 70/35=2, Resulting Numbers: [92, 2]
Generated Node #3: [92, 2] from Operation: 70/35=2
Current State: 94:[92, 2], Operations: ['60-25=35', '70/35=2']
Exploring Operation: 92+2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
44,
13,
11,
9
] | 75 | [
"11-9=2",
"44*2=88",
"88-13=75"
] | Current State: 75:[44, 13, 11, 9], Operations: []
Exploring Operation: 11-9=2, Resulting Numbers: [44, 13, 2]
Generated Node #2: [44, 13, 2] from Operation: 11-9=2
Current State: 75:[44, 13, 2], Operations: ['11-9=2']
Exploring Operation: 44*2=88, Resulting Numbers: [13, 88]
Generated Node #3: [13, 88] from Operation: 44*2=88
Current State: 75:[13, 88], Operations: ['11-9=2', '44*2=88']
Exploring Operation: 88-13=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
3,
19,
75,
21
] | 13 | [
"75+21=96",
"96/3=32",
"32-19=13"
] | Current State: 13:[3, 19, 75, 21], Operations: []
Exploring Operation: 75+21=96, Resulting Numbers: [3, 19, 96]
Generated Node #2: [3, 19, 96] from Operation: 75+21=96
Current State: 13:[3, 19, 96], Operations: ['75+21=96']
Exploring Operation: 96/3=32, Resulting Numbers: [19, 32]
Generated Node #3: [19, 32] from Operation: 96/3=32
Current State: 13:[19, 32], Operations: ['75+21=96', '96/3=32']
Exploring Operation: 32-19=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
50,
88,
53,
62
] | 98 | [
"53-50=3",
"62*3=186",
"186-88=98"
] | Current State: 98:[50, 88, 53, 62], Operations: []
Exploring Operation: 53-50=3, Resulting Numbers: [88, 62, 3]
Generated Node #2: [88, 62, 3] from Operation: 53-50=3
Current State: 98:[88, 62, 3], Operations: ['53-50=3']
Exploring Operation: 62*3=186, Resulting Numbers: [88, 186]
Generated Node #3: [88, 186] from Operation: 62*3=186
Current State: 98:[88, 186], Operations: ['53-50=3', '62*3=186']
Exploring Operation: 186-88=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
24,
59,
60,
42
] | 19 | [
"24+59=83",
"60+42=102",
"102-83=19"
] | Current State: 19:[24, 59, 60, 42], Operations: []
Exploring Operation: 24+59=83, Resulting Numbers: [60, 42, 83]
Generated Node #2: [60, 42, 83] from Operation: 24+59=83
Current State: 19:[60, 42, 83], Operations: ['24+59=83']
Exploring Operation: 60+42=102, Resulting Numbers: [83, 102]
Generated Node #3: [83, 102] from Operation: 60+42=102
Current State: 19:[83, 102], Operations: ['24+59=83', '60+42=102']
Exploring Operation: 102-83=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
42,
26,
51,
2
] | 44 | [
"51-42=9",
"2*9=18",
"26+18=44"
] | Current State: 44:[42, 26, 51, 2], Operations: []
Exploring Operation: 51-42=9, Resulting Numbers: [26, 2, 9]
Generated Node #2: [26, 2, 9] from Operation: 51-42=9
Current State: 44:[26, 2, 9], Operations: ['51-42=9']
Exploring Operation: 2*9=18, Resulting Numbers: [26, 18]
Generated Node #3: [26, 18] from Operation: 2*9=18
Current State: 44:[26, 18], Operations: ['51-42=9', '2*9=18']
Exploring Operation: 26+18=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
36,
8,
93,
10
] | 55 | [
"36-8=28",
"93-10=83",
"83-28=55"
] | Current State: 55:[36, 8, 93, 10], Operations: []
Exploring Operation: 36-8=28, Resulting Numbers: [93, 10, 28]
Generated Node #2: [93, 10, 28] from Operation: 36-8=28
Current State: 55:[93, 10, 28], Operations: ['36-8=28']
Exploring Operation: 93-10=83, Resulting Numbers: [28, 83]
Generated Node #3: [28, 83] from Operation: 93-10=83
Current State: 55:[28, 83], Operations: ['36-8=28', '93-10=83']
Exploring Operation: 83-28=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
25,
86,
59,
81
] | 29 | [
"25+86=111",
"59+81=140",
"140-111=29"
] | Current State: 29:[25, 86, 59, 81], Operations: []
Exploring Operation: 25+86=111, Resulting Numbers: [59, 81, 111]
Generated Node #2: [59, 81, 111] from Operation: 25+86=111
Current State: 29:[59, 81, 111], Operations: ['25+86=111']
Exploring Operation: 59+81=140, Resulting Numbers: [111, 140]
Generated Node #3: [111, 140] from Operation: 59+81=140
Current State: 29:[111, 140], Operations: ['25+86=111', '59+81=140']
Exploring Operation: 140-111=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
23,
92,
52,
41
] | 97 | [
"92/23=4",
"52+41=93",
"4+93=97"
] | Current State: 97:[23, 92, 52, 41], Operations: []
Exploring Operation: 92/23=4, Resulting Numbers: [52, 41, 4]
Generated Node #2: [52, 41, 4] from Operation: 92/23=4
Current State: 97:[52, 41, 4], Operations: ['92/23=4']
Exploring Operation: 52+41=93, Resulting Numbers: [4, 93]
Generated Node #3: [4, 93] from Operation: 52+41=93
Current State: 97:[4, 93], Operations: ['92/23=4', '52+41=93']
Exploring Operation: 4+93=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
56,
93,
83,
79
] | 87 | [
"93-79=14",
"56/14=4",
"83+4=87"
] | Current State: 87:[56, 93, 83, 79], Operations: []
Exploring Operation: 93-79=14, Resulting Numbers: [56, 83, 14]
Generated Node #2: [56, 83, 14] from Operation: 93-79=14
Current State: 87:[56, 83, 14], Operations: ['93-79=14']
Exploring Operation: 56/14=4, Resulting Numbers: [83, 4]
Generated Node #3: [83, 4] from Operation: 56/14=4
Current State: 87:[83, 4], Operations: ['93-79=14', '56/14=4']
Exploring Operation: 83+4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
24,
60,
28,
33
] | 84 | [
"60-24=36",
"36-33=3",
"28*3=84"
] | Current State: 84:[24, 60, 28, 33], Operations: []
Exploring Operation: 60-24=36, Resulting Numbers: [28, 33, 36]
Generated Node #2: [28, 33, 36] from Operation: 60-24=36
Current State: 84:[28, 33, 36], Operations: ['60-24=36']
Exploring Operation: 36-33=3, Resulting Numbers: [28, 3]
Generated Node #3: [28, 3] from Operation: 36-33=3
Current State: 84:[28, 3], Operations: ['60-24=36', '36-33=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
14,
36,
56,
24
] | 15 | [
"14*36=504",
"504/56=9",
"24-9=15"
] | Current State: 15:[14, 36, 56, 24], Operations: []
Exploring Operation: 14*36=504, Resulting Numbers: [56, 24, 504]
Generated Node #2: [56, 24, 504] from Operation: 14*36=504
Current State: 15:[56, 24, 504], Operations: ['14*36=504']
Exploring Operation: 504/56=9, Resulting Numbers: [24, 9]
Generated Node #3: [24, 9] from Operation: 504/56=9
Current State: 15:[24, 9], Operations: ['14*36=504', '504/56=9']
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
59,
80,
16,
48
] | 97 | [
"59*48=2832",
"2832/16=177",
"177-80=97"
] | Current State: 97:[59, 80, 16, 48], Operations: []
Exploring Operation: 59*48=2832, Resulting Numbers: [80, 16, 2832]
Generated Node #2: [80, 16, 2832] from Operation: 59*48=2832
Current State: 97:[80, 16, 2832], Operations: ['59*48=2832']
Exploring Operation: 2832/16=177, Resulting Numbers: [80, 177]
Generated Node #3: [80, 177] from Operation: 2832/16=177
Current State: 97:[80, 177], Operations: ['59*48=2832', '2832/16=177']
Exploring Operation: 177-80=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
93,
63,
94,
9
] | 53 | [
"93+63=156",
"94+9=103",
"156-103=53"
] | Current State: 53:[93, 63, 94, 9], Operations: []
Exploring Operation: 93+63=156, Resulting Numbers: [94, 9, 156]
Generated Node #2: [94, 9, 156] from Operation: 93+63=156
Current State: 53:[94, 9, 156], Operations: ['93+63=156']
Exploring Operation: 94+9=103, Resulting Numbers: [156, 103]
Generated Node #3: [156, 103] from Operation: 94+9=103
Current State: 53:[156, 103], Operations: ['93+63=156', '94+9=103']
Exploring Operation: 156-103=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
2,
38,
88,
90
] | 21 | [
"38/2=19",
"90-88=2",
"19+2=21"
] | Current State: 21:[2, 38, 88, 90], Operations: []
Exploring Operation: 38/2=19, Resulting Numbers: [88, 90, 19]
Generated Node #2: [88, 90, 19] from Operation: 38/2=19
Current State: 21:[88, 90, 19], Operations: ['38/2=19']
Exploring Operation: 90-88=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 90-88=2
Current State: 21:[19, 2], Operations: ['38/2=19', '90-88=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
61,
38,
93,
90
] | 33 | [
"61+38=99",
"93-90=3",
"99/3=33"
] | Current State: 33:[61, 38, 93, 90], Operations: []
Exploring Operation: 61+38=99, Resulting Numbers: [93, 90, 99]
Generated Node #2: [93, 90, 99] from Operation: 61+38=99
Current State: 33:[93, 90, 99], Operations: ['61+38=99']
Exploring Operation: 93-90=3, Resulting Numbers: [99, 3]
Generated Node #3: [99, 3] from Operation: 93-90=3
Current State: 33:[99, 3], Operations: ['61+38=99', '93-90=3']
Exploring Operation: 99/3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
6,
26,
56,
49
] | 27 | [
"26-6=20",
"56-49=7",
"20+7=27"
] | Current State: 27:[6, 26, 56, 49], Operations: []
Exploring Operation: 26-6=20, Resulting Numbers: [56, 49, 20]
Generated Node #2: [56, 49, 20] from Operation: 26-6=20
Current State: 27:[56, 49, 20], Operations: ['26-6=20']
Exploring Operation: 56-49=7, Resulting Numbers: [20, 7]
Generated Node #3: [20, 7] from Operation: 56-49=7
Current State: 27:[20, 7], Operations: ['26-6=20', '56-49=7']
Exploring Operation: 20+7=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
45,
60,
51,
3
] | 88 | [
"45+60=105",
"51/3=17",
"105-17=88"
] | Current State: 88:[45, 60, 51, 3], Operations: []
Exploring Operation: 45+60=105, Resulting Numbers: [51, 3, 105]
Generated Node #2: [51, 3, 105] from Operation: 45+60=105
Current State: 88:[51, 3, 105], Operations: ['45+60=105']
Exploring Operation: 51/3=17, Resulting Numbers: [105, 17]
Generated Node #3: [105, 17] from Operation: 51/3=17
Current State: 88:[105, 17], Operations: ['45+60=105', '51/3=17']
Exploring Operation: 105-17=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
16,
63,
24,
48
] | 94 | [
"63-16=47",
"48/24=2",
"47*2=94"
] | Current State: 94:[16, 63, 24, 48], Operations: []
Exploring Operation: 63-16=47, Resulting Numbers: [24, 48, 47]
Generated Node #2: [24, 48, 47] from Operation: 63-16=47
Current State: 94:[24, 48, 47], Operations: ['63-16=47']
Exploring Operation: 48/24=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 48/24=2
Current State: 94:[47, 2], Operations: ['63-16=47', '48/24=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
7,
11,
77,
53
] | 68 | [
"77/7=11",
"11*11=121",
"121-53=68"
] | Current State: 68:[7, 11, 77, 53], Operations: []
Exploring Operation: 77/7=11, Resulting Numbers: [11, 53, 11]
Generated Node #2: [11, 53, 11] from Operation: 77/7=11
Current State: 68:[11, 53, 11], Operations: ['77/7=11']
Exploring Operation: 11*11=121, Resulting Numbers: [53, 121]
Generated Node #3: [53, 121] from Operation: 11*11=121
Current State: 68:[53, 121], Operations: ['77/7=11', '11*11=121']
Exploring Operation: 121-53=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
86,
19,
56,
83
] | 72 | [
"86-19=67",
"56+83=139",
"139-67=72"
] | Current State: 72:[86, 19, 56, 83], Operations: []
Exploring Operation: 86-19=67, Resulting Numbers: [56, 83, 67]
Generated Node #2: [56, 83, 67] from Operation: 86-19=67
Current State: 72:[56, 83, 67], Operations: ['86-19=67']
Exploring Operation: 56+83=139, Resulting Numbers: [67, 139]
Generated Node #3: [67, 139] from Operation: 56+83=139
Current State: 72:[67, 139], Operations: ['86-19=67', '56+83=139']
Exploring Operation: 139-67=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
78,
35,
16,
95
] | 35 | [
"78+16=94",
"95-94=1",
"35*1=35"
] | Current State: 35:[78, 35, 16, 95], Operations: []
Exploring Operation: 78+16=94, Resulting Numbers: [35, 95, 94]
Generated Node #2: [35, 95, 94] from Operation: 78+16=94
Current State: 35:[35, 95, 94], Operations: ['78+16=94']
Exploring Operation: 95-94=1, Resulting Numbers: [35, 1]
Generated Node #3: [35, 1] from Operation: 95-94=1
Current State: 35:[35, 1], Operations: ['78+16=94', '95-94=1']
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
30,
3,
77,
6
] | 69 | [
"30-6=24",
"24/3=8",
"77-8=69"
] | Current State: 69:[30, 3, 77, 6], Operations: []
Exploring Operation: 30-6=24, Resulting Numbers: [3, 77, 24]
Generated Node #2: [3, 77, 24] from Operation: 30-6=24
Current State: 69:[3, 77, 24], Operations: ['30-6=24']
Exploring Operation: 24/3=8, Resulting Numbers: [77, 8]
Generated Node #3: [77, 8] from Operation: 24/3=8
Current State: 69:[77, 8], Operations: ['30-6=24', '24/3=8']
Exploring Operation: 77-8=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
3,
39,
20,
60
] | 67 | [
"39/3=13",
"20+60=80",
"80-13=67"
] | Current State: 67:[3, 39, 20, 60], Operations: []
Exploring Operation: 39/3=13, Resulting Numbers: [20, 60, 13]
Generated Node #2: [20, 60, 13] from Operation: 39/3=13
Current State: 67:[20, 60, 13], Operations: ['39/3=13']
Exploring Operation: 20+60=80, Resulting Numbers: [13, 80]
Generated Node #3: [13, 80] from Operation: 20+60=80
Current State: 67:[13, 80], Operations: ['39/3=13', '20+60=80']
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
12,
9,
20,
27
] | 29 | [
"12-9=3",
"27/3=9",
"20+9=29"
] | Current State: 29:[12, 9, 20, 27], Operations: []
Exploring Operation: 12-9=3, Resulting Numbers: [20, 27, 3]
Generated Node #2: [20, 27, 3] from Operation: 12-9=3
Current State: 29:[20, 27, 3], Operations: ['12-9=3']
Exploring Operation: 27/3=9, Resulting Numbers: [20, 9]
Generated Node #3: [20, 9] from Operation: 27/3=9
Current State: 29:[20, 9], Operations: ['12-9=3', '27/3=9']
Exploring Operation: 20+9=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
2,
23,
40,
78
] | 21 | [
"2*40=80",
"23+78=101",
"101-80=21"
] | Current State: 21:[2, 23, 40, 78], Operations: []
Exploring Operation: 2*40=80, Resulting Numbers: [23, 78, 80]
Generated Node #2: [23, 78, 80] from Operation: 2*40=80
Current State: 21:[23, 78, 80], Operations: ['2*40=80']
Exploring Operation: 23+78=101, Resulting Numbers: [80, 101]
Generated Node #3: [80, 101] from Operation: 23+78=101
Current State: 21:[80, 101], Operations: ['2*40=80', '23+78=101']
Exploring Operation: 101-80=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
40,
6,
8,
5
] | 78 | [
"40+8=48",
"6*5=30",
"48+30=78"
] | Current State: 78:[40, 6, 8, 5], Operations: []
Exploring Operation: 40+8=48, Resulting Numbers: [6, 5, 48]
Generated Node #2: [6, 5, 48] from Operation: 40+8=48
Current State: 78:[6, 5, 48], Operations: ['40+8=48']
Exploring Operation: 6*5=30, Resulting Numbers: [48, 30]
Generated Node #3: [48, 30] from Operation: 6*5=30
Current State: 78:[48, 30], Operations: ['40+8=48', '6*5=30']
Exploring Operation: 48+30=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
63,
53,
8,
35
] | 45 | [
"63-53=10",
"8*10=80",
"80-35=45"
] | Current State: 45:[63, 53, 8, 35], Operations: []
Exploring Operation: 63-53=10, Resulting Numbers: [8, 35, 10]
Generated Node #2: [8, 35, 10] from Operation: 63-53=10
Current State: 45:[8, 35, 10], Operations: ['63-53=10']
Exploring Operation: 8*10=80, Resulting Numbers: [35, 80]
Generated Node #3: [35, 80] from Operation: 8*10=80
Current State: 45:[35, 80], Operations: ['63-53=10', '8*10=80']
Exploring Operation: 80-35=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
93,
61,
43,
79
] | 90 | [
"93-61=32",
"43+79=122",
"122-32=90"
] | Current State: 90:[93, 61, 43, 79], Operations: []
Exploring Operation: 93-61=32, Resulting Numbers: [43, 79, 32]
Generated Node #2: [43, 79, 32] from Operation: 93-61=32
Current State: 90:[43, 79, 32], Operations: ['93-61=32']
Exploring Operation: 43+79=122, Resulting Numbers: [32, 122]
Generated Node #3: [32, 122] from Operation: 43+79=122
Current State: 90:[32, 122], Operations: ['93-61=32', '43+79=122']
Exploring Operation: 122-32=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
9,
18,
47,
20
] | 54 | [
"9+18=27",
"47-20=27",
"27+27=54"
] | Current State: 54:[9, 18, 47, 20], Operations: []
Exploring Operation: 9+18=27, Resulting Numbers: [47, 20, 27]
Generated Node #2: [47, 20, 27] from Operation: 9+18=27
Current State: 54:[47, 20, 27], Operations: ['9+18=27']
Exploring Operation: 47-20=27, Resulting Numbers: [27, 27]
Generated Node #3: [27, 27] from Operation: 47-20=27
Current State: 54:[27, 27], Operations: ['9+18=27', '47-20=27']
Exploring Operation: 27+27=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
71,
6,
34,
5
] | 38 | [
"71+6=77",
"34+5=39",
"77-39=38"
] | Current State: 38:[71, 6, 34, 5], Operations: []
Exploring Operation: 71+6=77, Resulting Numbers: [34, 5, 77]
Generated Node #2: [34, 5, 77] from Operation: 71+6=77
Current State: 38:[34, 5, 77], Operations: ['71+6=77']
Exploring Operation: 34+5=39, Resulting Numbers: [77, 39]
Generated Node #3: [77, 39] from Operation: 34+5=39
Current State: 38:[77, 39], Operations: ['71+6=77', '34+5=39']
Exploring Operation: 77-39=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
50,
57,
30,
20
] | 56 | [
"50-30=20",
"20/20=1",
"57-1=56"
] | Current State: 56:[50, 57, 30, 20], Operations: []
Exploring Operation: 50-30=20, Resulting Numbers: [57, 20, 20]
Generated Node #2: [57, 20, 20] from Operation: 50-30=20
Current State: 56:[57, 20, 20], Operations: ['50-30=20']
Exploring Operation: 20/20=1, Resulting Numbers: [57, 1]
Generated Node #3: [57, 1] from Operation: 20/20=1
Current State: 56:[57, 1], Operations: ['50-30=20', '20/20=1']
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
3,
12,
60,
6
] | 80 | [
"3+6=9",
"12*60=720",
"720/9=80"
] | Current State: 80:[3, 12, 60, 6], Operations: []
Exploring Operation: 3+6=9, Resulting Numbers: [12, 60, 9]
Generated Node #2: [12, 60, 9] from Operation: 3+6=9
Current State: 80:[12, 60, 9], Operations: ['3+6=9']
Exploring Operation: 12*60=720, Resulting Numbers: [9, 720]
Generated Node #3: [9, 720] from Operation: 12*60=720
Current State: 80:[9, 720], Operations: ['3+6=9', '12*60=720']
Exploring Operation: 720/9=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
65,
77,
13,
5
] | 31 | [
"65+77=142",
"13+142=155",
"155/5=31"
] | Current State: 31:[65, 77, 13, 5], Operations: []
Exploring Operation: 65+77=142, Resulting Numbers: [13, 5, 142]
Generated Node #2: [13, 5, 142] from Operation: 65+77=142
Current State: 31:[13, 5, 142], Operations: ['65+77=142']
Exploring Operation: 13+142=155, Resulting Numbers: [5, 155]
Generated Node #3: [5, 155] from Operation: 13+142=155
Current State: 31:[5, 155], Operations: ['65+77=142', '13+142=155']
Exploring Operation: 155/5=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
52,
41,
82,
34
] | 70 | [
"52*82=4264",
"4264/41=104",
"104-34=70"
] | Current State: 70:[52, 41, 82, 34], Operations: []
Exploring Operation: 52*82=4264, Resulting Numbers: [41, 34, 4264]
Generated Node #2: [41, 34, 4264] from Operation: 52*82=4264
Current State: 70:[41, 34, 4264], Operations: ['52*82=4264']
Exploring Operation: 4264/41=104, Resulting Numbers: [34, 104]
Generated Node #3: [34, 104] from Operation: 4264/41=104
Current State: 70:[34, 104], Operations: ['52*82=4264', '4264/41=104']
Exploring Operation: 104-34=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
93,
91,
11,
84
] | 93 | [
"93-91=2",
"11+84=95",
"95-2=93"
] | Current State: 93:[93, 91, 11, 84], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [11, 84, 2]
Generated Node #2: [11, 84, 2] from Operation: 93-91=2
Current State: 93:[11, 84, 2], Operations: ['93-91=2']
Exploring Operation: 11+84=95, Resulting Numbers: [2, 95]
Generated Node #3: [2, 95] from Operation: 11+84=95
Current State: 93:[2, 95], Operations: ['93-91=2', '11+84=95']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
82,
39,
80,
71
] | 34 | [
"82-39=43",
"80-71=9",
"43-9=34"
] | Current State: 34:[82, 39, 80, 71], Operations: []
Exploring Operation: 82-39=43, Resulting Numbers: [80, 71, 43]
Generated Node #2: [80, 71, 43] from Operation: 82-39=43
Current State: 34:[80, 71, 43], Operations: ['82-39=43']
Exploring Operation: 80-71=9, Resulting Numbers: [43, 9]
Generated Node #3: [43, 9] from Operation: 80-71=9
Current State: 34:[43, 9], Operations: ['82-39=43', '80-71=9']
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
94,
21,
35,
28
] | 80 | [
"94-21=73",
"35-28=7",
"73+7=80"
] | Current State: 80:[94, 21, 35, 28], Operations: []
Exploring Operation: 94-21=73, Resulting Numbers: [35, 28, 73]
Generated Node #2: [35, 28, 73] from Operation: 94-21=73
Current State: 80:[35, 28, 73], Operations: ['94-21=73']
Exploring Operation: 35-28=7, Resulting Numbers: [73, 7]
Generated Node #3: [73, 7] from Operation: 35-28=7
Current State: 80:[73, 7], Operations: ['94-21=73', '35-28=7']
Exploring Operation: 73+7=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
3,
76,
16,
41
] | 89 | [
"76-41=35",
"3*35=105",
"105-16=89"
] | Current State: 89:[3, 76, 16, 41], Operations: []
Exploring Operation: 76-41=35, Resulting Numbers: [3, 16, 35]
Generated Node #2: [3, 16, 35] from Operation: 76-41=35
Current State: 89:[3, 16, 35], Operations: ['76-41=35']
Exploring Operation: 3*35=105, Resulting Numbers: [16, 105]
Generated Node #3: [16, 105] from Operation: 3*35=105
Current State: 89:[16, 105], Operations: ['76-41=35', '3*35=105']
Exploring Operation: 105-16=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
36,
11,
67,
15
] | 43 | [
"36*15=540",
"540-67=473",
"473/11=43"
] | Current State: 43:[36, 11, 67, 15], Operations: []
Exploring Operation: 36*15=540, Resulting Numbers: [11, 67, 540]
Generated Node #2: [11, 67, 540] from Operation: 36*15=540
Current State: 43:[11, 67, 540], Operations: ['36*15=540']
Exploring Operation: 540-67=473, Resulting Numbers: [11, 473]
Generated Node #3: [11, 473] from Operation: 540-67=473
Current State: 43:[11, 473], Operations: ['36*15=540', '540-67=473']
Exploring Operation: 473/11=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
16,
78,
18,
9
] | 66 | [
"18-9=9",
"16*9=144",
"144-78=66"
] | Current State: 66:[16, 78, 18, 9], Operations: []
Exploring Operation: 18-9=9, Resulting Numbers: [16, 78, 9]
Generated Node #2: [16, 78, 9] from Operation: 18-9=9
Current State: 66:[16, 78, 9], Operations: ['18-9=9']
Exploring Operation: 16*9=144, Resulting Numbers: [78, 144]
Generated Node #3: [78, 144] from Operation: 16*9=144
Current State: 66:[78, 144], Operations: ['18-9=9', '16*9=144']
Exploring Operation: 144-78=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
75,
27,
16,
30
] | 62 | [
"75-27=48",
"30-16=14",
"48+14=62"
] | Current State: 62:[75, 27, 16, 30], Operations: []
Exploring Operation: 75-27=48, Resulting Numbers: [16, 30, 48]
Generated Node #2: [16, 30, 48] from Operation: 75-27=48
Current State: 62:[16, 30, 48], Operations: ['75-27=48']
Exploring Operation: 30-16=14, Resulting Numbers: [48, 14]
Generated Node #3: [48, 14] from Operation: 30-16=14
Current State: 62:[48, 14], Operations: ['75-27=48', '30-16=14']
Exploring Operation: 48+14=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
34,
49,
74,
92
] | 83 | [
"34+49=83",
"74+92=166",
"166-83=83"
] | Current State: 83:[34, 49, 74, 92], Operations: []
Exploring Operation: 34+49=83, Resulting Numbers: [74, 92, 83]
Generated Node #2: [74, 92, 83] from Operation: 34+49=83
Current State: 83:[74, 92, 83], Operations: ['34+49=83']
Exploring Operation: 74+92=166, Resulting Numbers: [83, 166]
Generated Node #3: [83, 166] from Operation: 74+92=166
Current State: 83:[83, 166], Operations: ['34+49=83', '74+92=166']
Exploring Operation: 166-83=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
73,
42,
5,
79
] | 31 | [
"73+42=115",
"5+79=84",
"115-84=31"
] | Current State: 31:[73, 42, 5, 79], Operations: []
Exploring Operation: 73+42=115, Resulting Numbers: [5, 79, 115]
Generated Node #2: [5, 79, 115] from Operation: 73+42=115
Current State: 31:[5, 79, 115], Operations: ['73+42=115']
Exploring Operation: 5+79=84, Resulting Numbers: [115, 84]
Generated Node #3: [115, 84] from Operation: 5+79=84
Current State: 31:[115, 84], Operations: ['73+42=115', '5+79=84']
Exploring Operation: 115-84=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
79,
1,
32,
28
] | 76 | [
"79+1=80",
"32-28=4",
"80-4=76"
] | Current State: 76:[79, 1, 32, 28], Operations: []
Exploring Operation: 79+1=80, Resulting Numbers: [32, 28, 80]
Generated Node #2: [32, 28, 80] from Operation: 79+1=80
Current State: 76:[32, 28, 80], Operations: ['79+1=80']
Exploring Operation: 32-28=4, Resulting Numbers: [80, 4]
Generated Node #3: [80, 4] from Operation: 32-28=4
Current State: 76:[80, 4], Operations: ['79+1=80', '32-28=4']
Exploring Operation: 80-4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
61,
43,
83,
8
] | 29 | [
"61+43=104",
"83-8=75",
"104-75=29"
] | Current State: 29:[61, 43, 83, 8], Operations: []
Exploring Operation: 61+43=104, Resulting Numbers: [83, 8, 104]
Generated Node #2: [83, 8, 104] from Operation: 61+43=104
Current State: 29:[83, 8, 104], Operations: ['61+43=104']
Exploring Operation: 83-8=75, Resulting Numbers: [104, 75]
Generated Node #3: [104, 75] from Operation: 83-8=75
Current State: 29:[104, 75], Operations: ['61+43=104', '83-8=75']
Exploring Operation: 104-75=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
79,
63,
55,
8
] | 31 | [
"79-63=16",
"55-8=47",
"47-16=31"
] | Current State: 31:[79, 63, 55, 8], Operations: []
Exploring Operation: 79-63=16, Resulting Numbers: [55, 8, 16]
Generated Node #2: [55, 8, 16] from Operation: 79-63=16
Current State: 31:[55, 8, 16], Operations: ['79-63=16']
Exploring Operation: 55-8=47, Resulting Numbers: [16, 47]
Generated Node #3: [16, 47] from Operation: 55-8=47
Current State: 31:[16, 47], Operations: ['79-63=16', '55-8=47']
Exploring Operation: 47-16=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
2,
7,
17,
55
] | 63 | [
"2+7=9",
"17+55=72",
"72-9=63"
] | Current State: 63:[2, 7, 17, 55], Operations: []
Exploring Operation: 2+7=9, Resulting Numbers: [17, 55, 9]
Generated Node #2: [17, 55, 9] from Operation: 2+7=9
Current State: 63:[17, 55, 9], Operations: ['2+7=9']
Exploring Operation: 17+55=72, Resulting Numbers: [9, 72]
Generated Node #3: [9, 72] from Operation: 17+55=72
Current State: 63:[9, 72], Operations: ['2+7=9', '17+55=72']
Exploring Operation: 72-9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
67,
2,
48,
10
] | 49 | [
"48+10=58",
"2*58=116",
"116-67=49"
] | Current State: 49:[67, 2, 48, 10], Operations: []
Exploring Operation: 48+10=58, Resulting Numbers: [67, 2, 58]
Generated Node #2: [67, 2, 58] from Operation: 48+10=58
Current State: 49:[67, 2, 58], Operations: ['48+10=58']
Exploring Operation: 2*58=116, Resulting Numbers: [67, 116]
Generated Node #3: [67, 116] from Operation: 2*58=116
Current State: 49:[67, 116], Operations: ['48+10=58', '2*58=116']
Exploring Operation: 116-67=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
12,
2,
2,
71
] | 45 | [
"12*2=24",
"71-2=69",
"69-24=45"
] | Current State: 45:[12, 2, 2, 71], Operations: []
Exploring Operation: 12*2=24, Resulting Numbers: [71, 24]
Generated Node #2: [71, 24] from Operation: 12*2=24
Current State: 45:[71, 24], Operations: ['12*2=24']
Exploring Operation: 71-2=69, Resulting Numbers: [24, 69]
Generated Node #3: [24, 69] from Operation: 71-2=69
Current State: 45:[24, 69], Operations: ['12*2=24', '71-2=69']
Exploring Operation: 69-24=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
37,
44,
22,
74
] | 80 | [
"44-37=7",
"22*7=154",
"154-74=80"
] | Current State: 80:[37, 44, 22, 74], Operations: []
Exploring Operation: 44-37=7, Resulting Numbers: [22, 74, 7]
Generated Node #2: [22, 74, 7] from Operation: 44-37=7
Current State: 80:[22, 74, 7], Operations: ['44-37=7']
Exploring Operation: 22*7=154, Resulting Numbers: [74, 154]
Generated Node #3: [74, 154] from Operation: 22*7=154
Current State: 80:[74, 154], Operations: ['44-37=7', '22*7=154']
Exploring Operation: 154-74=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
4,
98,
74,
2
] | 50 | [
"4*74=296",
"296/2=148",
"148-98=50"
] | Current State: 50:[4, 98, 74, 2], Operations: []
Exploring Operation: 4*74=296, Resulting Numbers: [98, 2, 296]
Generated Node #2: [98, 2, 296] from Operation: 4*74=296
Current State: 50:[98, 2, 296], Operations: ['4*74=296']
Exploring Operation: 296/2=148, Resulting Numbers: [98, 148]
Generated Node #3: [98, 148] from Operation: 296/2=148
Current State: 50:[98, 148], Operations: ['4*74=296', '296/2=148']
Exploring Operation: 148-98=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
35,
72,
28,
60
] | 24 | [
"35+28=63",
"63-60=3",
"72/3=24"
] | Current State: 24:[35, 72, 28, 60], Operations: []
Exploring Operation: 35+28=63, Resulting Numbers: [72, 60, 63]
Generated Node #2: [72, 60, 63] from Operation: 35+28=63
Current State: 24:[72, 60, 63], Operations: ['35+28=63']
Exploring Operation: 63-60=3, Resulting Numbers: [72, 3]
Generated Node #3: [72, 3] from Operation: 63-60=3
Current State: 24:[72, 3], Operations: ['35+28=63', '63-60=3']
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
20,
59,
28,
96
] | 45 | [
"20+59=79",
"28+96=124",
"124-79=45"
] | Current State: 45:[20, 59, 28, 96], Operations: []
Exploring Operation: 20+59=79, Resulting Numbers: [28, 96, 79]
Generated Node #2: [28, 96, 79] from Operation: 20+59=79
Current State: 45:[28, 96, 79], Operations: ['20+59=79']
Exploring Operation: 28+96=124, Resulting Numbers: [79, 124]
Generated Node #3: [79, 124] from Operation: 28+96=124
Current State: 45:[79, 124], Operations: ['20+59=79', '28+96=124']
Exploring Operation: 124-79=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
2,
69,
40,
90
] | 17 | [
"69-2=67",
"90-40=50",
"67-50=17"
] | Current State: 17:[2, 69, 40, 90], Operations: []
Exploring Operation: 69-2=67, Resulting Numbers: [40, 90, 67]
Generated Node #2: [40, 90, 67] from Operation: 69-2=67
Current State: 17:[40, 90, 67], Operations: ['69-2=67']
Exploring Operation: 90-40=50, Resulting Numbers: [67, 50]
Generated Node #3: [67, 50] from Operation: 90-40=50
Current State: 17:[67, 50], Operations: ['69-2=67', '90-40=50']
Exploring Operation: 67-50=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
81,
52,
27,
9
] | 65 | [
"81-52=29",
"27+9=36",
"29+36=65"
] | Current State: 65:[81, 52, 27, 9], Operations: []
Exploring Operation: 81-52=29, Resulting Numbers: [27, 9, 29]
Generated Node #2: [27, 9, 29] from Operation: 81-52=29
Current State: 65:[27, 9, 29], Operations: ['81-52=29']
Exploring Operation: 27+9=36, Resulting Numbers: [29, 36]
Generated Node #3: [29, 36] from Operation: 27+9=36
Current State: 65:[29, 36], Operations: ['81-52=29', '27+9=36']
Exploring Operation: 29+36=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
12,
25,
58,
2
] | 16 | [
"12+25=37",
"2*37=74",
"74-58=16"
] | Current State: 16:[12, 25, 58, 2], Operations: []
Exploring Operation: 12+25=37, Resulting Numbers: [58, 2, 37]
Generated Node #2: [58, 2, 37] from Operation: 12+25=37
Current State: 16:[58, 2, 37], Operations: ['12+25=37']
Exploring Operation: 2*37=74, Resulting Numbers: [58, 74]
Generated Node #3: [58, 74] from Operation: 2*37=74
Current State: 16:[58, 74], Operations: ['12+25=37', '2*37=74']
Exploring Operation: 74-58=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
36,
72,
37,
95
] | 29 | [
"72/36=2",
"95-37=58",
"58/2=29"
] | Current State: 29:[36, 72, 37, 95], Operations: []
Exploring Operation: 72/36=2, Resulting Numbers: [37, 95, 2]
Generated Node #2: [37, 95, 2] from Operation: 72/36=2
Current State: 29:[37, 95, 2], Operations: ['72/36=2']
Exploring Operation: 95-37=58, Resulting Numbers: [2, 58]
Generated Node #3: [2, 58] from Operation: 95-37=58
Current State: 29:[2, 58], Operations: ['72/36=2', '95-37=58']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
47,
62,
98,
13
] | 97 | [
"62-47=15",
"13*15=195",
"195-98=97"
] | Current State: 97:[47, 62, 98, 13], Operations: []
Exploring Operation: 62-47=15, Resulting Numbers: [98, 13, 15]
Generated Node #2: [98, 13, 15] from Operation: 62-47=15
Current State: 97:[98, 13, 15], Operations: ['62-47=15']
Exploring Operation: 13*15=195, Resulting Numbers: [98, 195]
Generated Node #3: [98, 195] from Operation: 13*15=195
Current State: 97:[98, 195], Operations: ['62-47=15', '13*15=195']
Exploring Operation: 195-98=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
23,
57,
49,
8
] | 87 | [
"57-49=8",
"8*8=64",
"23+64=87"
] | Current State: 87:[23, 57, 49, 8], Operations: []
Exploring Operation: 57-49=8, Resulting Numbers: [23, 8, 8]
Generated Node #2: [23, 8, 8] from Operation: 57-49=8
Current State: 87:[23, 8, 8], Operations: ['57-49=8']
Exploring Operation: 8*8=64, Resulting Numbers: [23, 64]
Generated Node #3: [23, 64] from Operation: 8*8=64
Current State: 87:[23, 64], Operations: ['57-49=8', '8*8=64']
Exploring Operation: 23+64=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
59,
2,
85,
39
] | 72 | [
"59*2=118",
"85-39=46",
"118-46=72"
] | Current State: 72:[59, 2, 85, 39], Operations: []
Exploring Operation: 59*2=118, Resulting Numbers: [85, 39, 118]
Generated Node #2: [85, 39, 118] from Operation: 59*2=118
Current State: 72:[85, 39, 118], Operations: ['59*2=118']
Exploring Operation: 85-39=46, Resulting Numbers: [118, 46]
Generated Node #3: [118, 46] from Operation: 85-39=46
Current State: 72:[118, 46], Operations: ['59*2=118', '85-39=46']
Exploring Operation: 118-46=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
19,
95,
43,
5
] | 76 | [
"19+95=114",
"43-5=38",
"114-38=76"
] | Current State: 76:[19, 95, 43, 5], Operations: []
Exploring Operation: 19+95=114, Resulting Numbers: [43, 5, 114]
Generated Node #2: [43, 5, 114] from Operation: 19+95=114
Current State: 76:[43, 5, 114], Operations: ['19+95=114']
Exploring Operation: 43-5=38, Resulting Numbers: [114, 38]
Generated Node #3: [114, 38] from Operation: 43-5=38
Current State: 76:[114, 38], Operations: ['19+95=114', '43-5=38']
Exploring Operation: 114-38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
52,
94,
83,
45
] | 86 | [
"94-52=42",
"83+45=128",
"128-42=86"
] | Current State: 86:[52, 94, 83, 45], Operations: []
Exploring Operation: 94-52=42, Resulting Numbers: [83, 45, 42]
Generated Node #2: [83, 45, 42] from Operation: 94-52=42
Current State: 86:[83, 45, 42], Operations: ['94-52=42']
Exploring Operation: 83+45=128, Resulting Numbers: [42, 128]
Generated Node #3: [42, 128] from Operation: 83+45=128
Current State: 86:[42, 128], Operations: ['94-52=42', '83+45=128']
Exploring Operation: 128-42=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
90,
67,
13,
10
] | 63 | [
"90/10=9",
"67-13=54",
"9+54=63"
] | Current State: 63:[90, 67, 13, 10], Operations: []
Exploring Operation: 90/10=9, Resulting Numbers: [67, 13, 9]
Generated Node #2: [67, 13, 9] from Operation: 90/10=9
Current State: 63:[67, 13, 9], Operations: ['90/10=9']
Exploring Operation: 67-13=54, Resulting Numbers: [9, 54]
Generated Node #3: [9, 54] from Operation: 67-13=54
Current State: 63:[9, 54], Operations: ['90/10=9', '67-13=54']
Exploring Operation: 9+54=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
1,
38,
30,
97
] | 28 | [
"1+38=39",
"97-30=67",
"67-39=28"
] | Current State: 28:[1, 38, 30, 97], Operations: []
Exploring Operation: 1+38=39, Resulting Numbers: [30, 97, 39]
Generated Node #2: [30, 97, 39] from Operation: 1+38=39
Current State: 28:[30, 97, 39], Operations: ['1+38=39']
Exploring Operation: 97-30=67, Resulting Numbers: [39, 67]
Generated Node #3: [39, 67] from Operation: 97-30=67
Current State: 28:[39, 67], Operations: ['1+38=39', '97-30=67']
Exploring Operation: 67-39=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
54,
8,
33,
88
] | 10 | [
"54-33=21",
"88/8=11",
"21-11=10"
] | Current State: 10:[54, 8, 33, 88], Operations: []
Exploring Operation: 54-33=21, Resulting Numbers: [8, 88, 21]
Generated Node #2: [8, 88, 21] from Operation: 54-33=21
Current State: 10:[8, 88, 21], Operations: ['54-33=21']
Exploring Operation: 88/8=11, Resulting Numbers: [21, 11]
Generated Node #3: [21, 11] from Operation: 88/8=11
Current State: 10:[21, 11], Operations: ['54-33=21', '88/8=11']
Exploring Operation: 21-11=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
72,
31,
38,
16
] | 81 | [
"72+31=103",
"38-16=22",
"103-22=81"
] | Current State: 81:[72, 31, 38, 16], Operations: []
Exploring Operation: 72+31=103, Resulting Numbers: [38, 16, 103]
Generated Node #2: [38, 16, 103] from Operation: 72+31=103
Current State: 81:[38, 16, 103], Operations: ['72+31=103']
Exploring Operation: 38-16=22, Resulting Numbers: [103, 22]
Generated Node #3: [103, 22] from Operation: 38-16=22
Current State: 81:[103, 22], Operations: ['72+31=103', '38-16=22']
Exploring Operation: 103-22=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
65,
12,
39,
5
] | 39 | [
"65/5=13",
"13-12=1",
"39*1=39"
] | Current State: 39:[65, 12, 39, 5], Operations: []
Exploring Operation: 65/5=13, Resulting Numbers: [12, 39, 13]
Generated Node #2: [12, 39, 13] from Operation: 65/5=13
Current State: 39:[12, 39, 13], Operations: ['65/5=13']
Exploring Operation: 13-12=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 13-12=1
Current State: 39:[39, 1], Operations: ['65/5=13', '13-12=1']
Exploring Operation: 39*1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
52,
94,
33,
94
] | 33 | [
"94-94=0",
"52*0=0",
"33+0=33"
] | Current State: 33:[52, 94, 33, 94], Operations: []
Exploring Operation: 94-94=0, Resulting Numbers: [52, 33, 0]
Generated Node #2: [52, 33, 0] from Operation: 94-94=0
Current State: 33:[52, 33, 0], Operations: ['94-94=0']
Exploring Operation: 52*0=0, Resulting Numbers: [33, 0]
Generated Node #3: [33, 0] from Operation: 52*0=0
Current State: 33:[33, 0], Operations: ['94-94=0', '52*0=0']
Exploring Operation: 33+0=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
69,
57,
9,
72
] | 45 | [
"69+57=126",
"9+72=81",
"126-81=45"
] | Current State: 45:[69, 57, 9, 72], Operations: []
Exploring Operation: 69+57=126, Resulting Numbers: [9, 72, 126]
Generated Node #2: [9, 72, 126] from Operation: 69+57=126
Current State: 45:[9, 72, 126], Operations: ['69+57=126']
Exploring Operation: 9+72=81, Resulting Numbers: [126, 81]
Generated Node #3: [126, 81] from Operation: 9+72=81
Current State: 45:[126, 81], Operations: ['69+57=126', '9+72=81']
Exploring Operation: 126-81=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
18,
12,
86,
57
] | 73 | [
"18*12=216",
"86+57=143",
"216-143=73"
] | Current State: 73:[18, 12, 86, 57], Operations: []
Exploring Operation: 18*12=216, Resulting Numbers: [86, 57, 216]
Generated Node #2: [86, 57, 216] from Operation: 18*12=216
Current State: 73:[86, 57, 216], Operations: ['18*12=216']
Exploring Operation: 86+57=143, Resulting Numbers: [216, 143]
Generated Node #3: [216, 143] from Operation: 86+57=143
Current State: 73:[216, 143], Operations: ['18*12=216', '86+57=143']
Exploring Operation: 216-143=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
2,
16,
93,
9
] | 53 | [
"93-2=91",
"16*9=144",
"144-91=53"
] | Current State: 53:[2, 16, 93, 9], Operations: []
Exploring Operation: 93-2=91, Resulting Numbers: [16, 9, 91]
Generated Node #2: [16, 9, 91] from Operation: 93-2=91
Current State: 53:[16, 9, 91], Operations: ['93-2=91']
Exploring Operation: 16*9=144, Resulting Numbers: [91, 144]
Generated Node #3: [91, 144] from Operation: 16*9=144
Current State: 53:[91, 144], Operations: ['93-2=91', '16*9=144']
Exploring Operation: 144-91=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
31,
51,
26,
64
] | 29 | [
"64-51=13",
"26/13=2",
"31-2=29"
] | Current State: 29:[31, 51, 26, 64], Operations: []
Exploring Operation: 64-51=13, Resulting Numbers: [31, 26, 13]
Generated Node #2: [31, 26, 13] from Operation: 64-51=13
Current State: 29:[31, 26, 13], Operations: ['64-51=13']
Exploring Operation: 26/13=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 26/13=2
Current State: 29:[31, 2], Operations: ['64-51=13', '26/13=2']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
24,
23,
14,
1
] | 62 | [
"24+23=47",
"14+1=15",
"47+15=62"
] | Current State: 62:[24, 23, 14, 1], Operations: []
Exploring Operation: 24+23=47, Resulting Numbers: [14, 1, 47]
Generated Node #2: [14, 1, 47] from Operation: 24+23=47
Current State: 62:[14, 1, 47], Operations: ['24+23=47']
Exploring Operation: 14+1=15, Resulting Numbers: [47, 15]
Generated Node #3: [47, 15] from Operation: 14+1=15
Current State: 62:[47, 15], Operations: ['24+23=47', '14+1=15']
Exploring Operation: 47+15=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
24,
54,
99,
72
] | 51 | [
"24+54=78",
"99-72=27",
"78-27=51"
] | Current State: 51:[24, 54, 99, 72], Operations: []
Exploring Operation: 24+54=78, Resulting Numbers: [99, 72, 78]
Generated Node #2: [99, 72, 78] from Operation: 24+54=78
Current State: 51:[99, 72, 78], Operations: ['24+54=78']
Exploring Operation: 99-72=27, Resulting Numbers: [78, 27]
Generated Node #3: [78, 27] from Operation: 99-72=27
Current State: 51:[78, 27], Operations: ['24+54=78', '99-72=27']
Exploring Operation: 78-27=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
53,
19,
62,
20
] | 30 | [
"53+19=72",
"62-20=42",
"72-42=30"
] | Current State: 30:[53, 19, 62, 20], Operations: []
Exploring Operation: 53+19=72, Resulting Numbers: [62, 20, 72]
Generated Node #2: [62, 20, 72] from Operation: 53+19=72
Current State: 30:[62, 20, 72], Operations: ['53+19=72']
Exploring Operation: 62-20=42, Resulting Numbers: [72, 42]
Generated Node #3: [72, 42] from Operation: 62-20=42
Current State: 30:[72, 42], Operations: ['53+19=72', '62-20=42']
Exploring Operation: 72-42=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
42,
18,
39,
4
] | 84 | [
"42+18=60",
"60-39=21",
"4*21=84"
] | Current State: 84:[42, 18, 39, 4], Operations: []
Exploring Operation: 42+18=60, Resulting Numbers: [39, 4, 60]
Generated Node #2: [39, 4, 60] from Operation: 42+18=60
Current State: 84:[39, 4, 60], Operations: ['42+18=60']
Exploring Operation: 60-39=21, Resulting Numbers: [4, 21]
Generated Node #3: [4, 21] from Operation: 60-39=21
Current State: 84:[4, 21], Operations: ['42+18=60', '60-39=21']
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
48,
10,
95,
12
] | 73 | [
"95-48=47",
"10*12=120",
"120-47=73"
] | Current State: 73:[48, 10, 95, 12], Operations: []
Exploring Operation: 95-48=47, Resulting Numbers: [10, 12, 47]
Generated Node #2: [10, 12, 47] from Operation: 95-48=47
Current State: 73:[10, 12, 47], Operations: ['95-48=47']
Exploring Operation: 10*12=120, Resulting Numbers: [47, 120]
Generated Node #3: [47, 120] from Operation: 10*12=120
Current State: 73:[47, 120], Operations: ['95-48=47', '10*12=120']
Exploring Operation: 120-47=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
8,
47,
34,
5
] | 99 | [
"47-34=13",
"8*13=104",
"104-5=99"
] | Current State: 99:[8, 47, 34, 5], Operations: []
Exploring Operation: 47-34=13, Resulting Numbers: [8, 5, 13]
Generated Node #2: [8, 5, 13] from Operation: 47-34=13
Current State: 99:[8, 5, 13], Operations: ['47-34=13']
Exploring Operation: 8*13=104, Resulting Numbers: [5, 104]
Generated Node #3: [5, 104] from Operation: 8*13=104
Current State: 99:[5, 104], Operations: ['47-34=13', '8*13=104']
Exploring Operation: 104-5=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
2,
98,
1,
8
] | 44 | [
"98-8=90",
"90/2=45",
"45-1=44"
] | Current State: 44:[2, 98, 1, 8], Operations: []
Exploring Operation: 98-8=90, Resulting Numbers: [2, 1, 90]
Generated Node #2: [2, 1, 90] from Operation: 98-8=90
Current State: 44:[2, 1, 90], Operations: ['98-8=90']
Exploring Operation: 90/2=45, Resulting Numbers: [1, 45]
Generated Node #3: [1, 45] from Operation: 90/2=45
Current State: 44:[1, 45], Operations: ['98-8=90', '90/2=45']
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
70,
53,
24,
53
] | 45 | [
"70-24=46",
"53/53=1",
"46-1=45"
] | Current State: 45:[70, 53, 24, 53], Operations: []
Exploring Operation: 70-24=46, Resulting Numbers: [53, 53, 46]
Generated Node #2: [53, 53, 46] from Operation: 70-24=46
Current State: 45:[53, 53, 46], Operations: ['70-24=46']
Exploring Operation: 53/53=1, Resulting Numbers: [46, 1]
Generated Node #3: [46, 1] from Operation: 53/53=1
Current State: 45:[46, 1], Operations: ['70-24=46', '53/53=1']
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
38,
33,
36,
58
] | 57 | [
"38*33=1254",
"58-36=22",
"1254/22=57"
] | Current State: 57:[38, 33, 36, 58], Operations: []
Exploring Operation: 38*33=1254, Resulting Numbers: [36, 58, 1254]
Generated Node #2: [36, 58, 1254] from Operation: 38*33=1254
Current State: 57:[36, 58, 1254], Operations: ['38*33=1254']
Exploring Operation: 58-36=22, Resulting Numbers: [1254, 22]
Generated Node #3: [1254, 22] from Operation: 58-36=22
Current State: 57:[1254, 22], Operations: ['38*33=1254', '58-36=22']
Exploring Operation: 1254/22=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
20,
66,
59,
73
] | 82 | [
"66*73=4818",
"20+4818=4838",
"4838/59=82"
] | Current State: 82:[20, 66, 59, 73], Operations: []
Exploring Operation: 66*73=4818, Resulting Numbers: [20, 59, 4818]
Generated Node #2: [20, 59, 4818] from Operation: 66*73=4818
Current State: 82:[20, 59, 4818], Operations: ['66*73=4818']
Exploring Operation: 20+4818=4838, Resulting Numbers: [59, 4838]
Generated Node #3: [59, 4838] from Operation: 20+4818=4838
Current State: 82:[59, 4838], Operations: ['66*73=4818', '20+4818=4838']
Exploring Operation: 4838/59=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
56,
47,
38,
88
] | 86 | [
"56+38=94",
"94/47=2",
"88-2=86"
] | Current State: 86:[56, 47, 38, 88], Operations: []
Exploring Operation: 56+38=94, Resulting Numbers: [47, 88, 94]
Generated Node #2: [47, 88, 94] from Operation: 56+38=94
Current State: 86:[47, 88, 94], Operations: ['56+38=94']
Exploring Operation: 94/47=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 94/47=2
Current State: 86:[88, 2], Operations: ['56+38=94', '94/47=2']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
17,
77,
68,
57
] | 80 | [
"68/17=4",
"77-57=20",
"4*20=80"
] | Current State: 80:[17, 77, 68, 57], Operations: []
Exploring Operation: 68/17=4, Resulting Numbers: [77, 57, 4]
Generated Node #2: [77, 57, 4] from Operation: 68/17=4
Current State: 80:[77, 57, 4], Operations: ['68/17=4']
Exploring Operation: 77-57=20, Resulting Numbers: [4, 20]
Generated Node #3: [4, 20] from Operation: 77-57=20
Current State: 80:[4, 20], Operations: ['68/17=4', '77-57=20']
Exploring Operation: 4*20=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
14,
56,
73,
84
] | 63 | [
"56+84=140",
"140/14=10",
"73-10=63"
] | Current State: 63:[14, 56, 73, 84], Operations: []
Exploring Operation: 56+84=140, Resulting Numbers: [14, 73, 140]
Generated Node #2: [14, 73, 140] from Operation: 56+84=140
Current State: 63:[14, 73, 140], Operations: ['56+84=140']
Exploring Operation: 140/14=10, Resulting Numbers: [73, 10]
Generated Node #3: [73, 10] from Operation: 140/14=10
Current State: 63:[73, 10], Operations: ['56+84=140', '140/14=10']
Exploring Operation: 73-10=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
46,
92,
49,
88
] | 78 | [
"92/46=2",
"88-49=39",
"2*39=78"
] | Current State: 78:[46, 92, 49, 88], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [49, 88, 2]
Generated Node #2: [49, 88, 2] from Operation: 92/46=2
Current State: 78:[49, 88, 2], Operations: ['92/46=2']
Exploring Operation: 88-49=39, Resulting Numbers: [2, 39]
Generated Node #3: [2, 39] from Operation: 88-49=39
Current State: 78:[2, 39], Operations: ['92/46=2', '88-49=39']
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
11,
96,
8,
30
] | 31 | [
"30-11=19",
"96/8=12",
"19+12=31"
] | Current State: 31:[11, 96, 8, 30], Operations: []
Exploring Operation: 30-11=19, Resulting Numbers: [96, 8, 19]
Generated Node #2: [96, 8, 19] from Operation: 30-11=19
Current State: 31:[96, 8, 19], Operations: ['30-11=19']
Exploring Operation: 96/8=12, Resulting Numbers: [19, 12]
Generated Node #3: [19, 12] from Operation: 96/8=12
Current State: 31:[19, 12], Operations: ['30-11=19', '96/8=12']
Exploring Operation: 19+12=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
45,
11,
5,
68
] | 31 | [
"45*11=495",
"495/5=99",
"99-68=31"
] | Current State: 31:[45, 11, 5, 68], Operations: []
Exploring Operation: 45*11=495, Resulting Numbers: [5, 68, 495]
Generated Node #2: [5, 68, 495] from Operation: 45*11=495
Current State: 31:[5, 68, 495], Operations: ['45*11=495']
Exploring Operation: 495/5=99, Resulting Numbers: [68, 99]
Generated Node #3: [68, 99] from Operation: 495/5=99
Current State: 31:[68, 99], Operations: ['45*11=495', '495/5=99']
Exploring Operation: 99-68=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
2,
14,
44,
18
] | 26 | [
"44/2=22",
"18-14=4",
"22+4=26"
] | Current State: 26:[2, 14, 44, 18], Operations: []
Exploring Operation: 44/2=22, Resulting Numbers: [14, 18, 22]
Generated Node #2: [14, 18, 22] from Operation: 44/2=22
Current State: 26:[14, 18, 22], Operations: ['44/2=22']
Exploring Operation: 18-14=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 18-14=4
Current State: 26:[22, 4], Operations: ['44/2=22', '18-14=4']
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
18,
35,
28,
25
] | 56 | [
"18+35=53",
"28-25=3",
"53+3=56"
] | Current State: 56:[18, 35, 28, 25], Operations: []
Exploring Operation: 18+35=53, Resulting Numbers: [28, 25, 53]
Generated Node #2: [28, 25, 53] from Operation: 18+35=53
Current State: 56:[28, 25, 53], Operations: ['18+35=53']
Exploring Operation: 28-25=3, Resulting Numbers: [53, 3]
Generated Node #3: [53, 3] from Operation: 28-25=3
Current State: 56:[53, 3], Operations: ['18+35=53', '28-25=3']
Exploring Operation: 53+3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
63,
32,
48,
75
] | 92 | [
"63-32=31",
"48+75=123",
"123-31=92"
] | Current State: 92:[63, 32, 48, 75], Operations: []
Exploring Operation: 63-32=31, Resulting Numbers: [48, 75, 31]
Generated Node #2: [48, 75, 31] from Operation: 63-32=31
Current State: 92:[48, 75, 31], Operations: ['63-32=31']
Exploring Operation: 48+75=123, Resulting Numbers: [31, 123]
Generated Node #3: [31, 123] from Operation: 48+75=123
Current State: 92:[31, 123], Operations: ['63-32=31', '48+75=123']
Exploring Operation: 123-31=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
48,
65,
95,
37
] | 55 | [
"48+65=113",
"95-37=58",
"113-58=55"
] | Current State: 55:[48, 65, 95, 37], Operations: []
Exploring Operation: 48+65=113, Resulting Numbers: [95, 37, 113]
Generated Node #2: [95, 37, 113] from Operation: 48+65=113
Current State: 55:[95, 37, 113], Operations: ['48+65=113']
Exploring Operation: 95-37=58, Resulting Numbers: [113, 58]
Generated Node #3: [113, 58] from Operation: 95-37=58
Current State: 55:[113, 58], Operations: ['48+65=113', '95-37=58']
Exploring Operation: 113-58=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
71,
87,
12,
60
] | 56 | [
"87-71=16",
"12+60=72",
"72-16=56"
] | Current State: 56:[71, 87, 12, 60], Operations: []
Exploring Operation: 87-71=16, Resulting Numbers: [12, 60, 16]
Generated Node #2: [12, 60, 16] from Operation: 87-71=16
Current State: 56:[12, 60, 16], Operations: ['87-71=16']
Exploring Operation: 12+60=72, Resulting Numbers: [16, 72]
Generated Node #3: [16, 72] from Operation: 12+60=72
Current State: 56:[16, 72], Operations: ['87-71=16', '12+60=72']
Exploring Operation: 72-16=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
25,
22,
7,
66
] | 100 | [
"66/22=3",
"7-3=4",
"25*4=100"
] | Current State: 100:[25, 22, 7, 66], Operations: []
Exploring Operation: 66/22=3, Resulting Numbers: [25, 7, 3]
Generated Node #2: [25, 7, 3] from Operation: 66/22=3
Current State: 100:[25, 7, 3], Operations: ['66/22=3']
Exploring Operation: 7-3=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 7-3=4
Current State: 100:[25, 4], Operations: ['66/22=3', '7-3=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
84,
9,
56,
11
] | 98 | [
"11-9=2",
"84/2=42",
"56+42=98"
] | Current State: 98:[84, 9, 56, 11], Operations: []
Exploring Operation: 11-9=2, Resulting Numbers: [84, 56, 2]
Generated Node #2: [84, 56, 2] from Operation: 11-9=2
Current State: 98:[84, 56, 2], Operations: ['11-9=2']
Exploring Operation: 84/2=42, Resulting Numbers: [56, 42]
Generated Node #3: [56, 42] from Operation: 84/2=42
Current State: 98:[56, 42], Operations: ['11-9=2', '84/2=42']
Exploring Operation: 56+42=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
25,
10,
83,
79
] | 88 | [
"25*10=250",
"83+79=162",
"250-162=88"
] | Current State: 88:[25, 10, 83, 79], Operations: []
Exploring Operation: 25*10=250, Resulting Numbers: [83, 79, 250]
Generated Node #2: [83, 79, 250] from Operation: 25*10=250
Current State: 88:[83, 79, 250], Operations: ['25*10=250']
Exploring Operation: 83+79=162, Resulting Numbers: [250, 162]
Generated Node #3: [250, 162] from Operation: 83+79=162
Current State: 88:[250, 162], Operations: ['25*10=250', '83+79=162']
Exploring Operation: 250-162=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
23,
72,
13,
62
] | 100 | [
"23-13=10",
"72-62=10",
"10*10=100"
] | Current State: 100:[23, 72, 13, 62], Operations: []
Exploring Operation: 23-13=10, Resulting Numbers: [72, 62, 10]
Generated Node #2: [72, 62, 10] from Operation: 23-13=10
Current State: 100:[72, 62, 10], Operations: ['23-13=10']
Exploring Operation: 72-62=10, Resulting Numbers: [10, 10]
Generated Node #3: [10, 10] from Operation: 72-62=10
Current State: 100:[10, 10], Operations: ['23-13=10', '72-62=10']
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
12,
40,
2,
69
] | 86 | [
"12+40=52",
"2*69=138",
"138-52=86"
] | Current State: 86:[12, 40, 2, 69], Operations: []
Exploring Operation: 12+40=52, Resulting Numbers: [2, 69, 52]
Generated Node #2: [2, 69, 52] from Operation: 12+40=52
Current State: 86:[2, 69, 52], Operations: ['12+40=52']
Exploring Operation: 2*69=138, Resulting Numbers: [52, 138]
Generated Node #3: [52, 138] from Operation: 2*69=138
Current State: 86:[52, 138], Operations: ['12+40=52', '2*69=138']
Exploring Operation: 138-52=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
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