nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
81,
90,
84,
8
] | 67 | [
"90-81=9",
"84-8=76",
"76-9=67"
] | Current State: 67:[81, 90, 84, 8], Operations: []
Exploring Operation: 90-81=9, Resulting Numbers: [84, 8, 9]
Generated Node #2: [84, 8, 9] from Operation: 90-81=9
Current State: 67:[84, 8, 9], Operations: ['90-81=9']
Exploring Operation: 84-8=76, Resulting Numbers: [9, 76]
Generated Node #3: [9, 76] from Operation: 84-8=76
Current State: 67:[9, 76], Operations: ['90-81=9', '84-8=76']
Exploring Operation: 76-9=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
56,
87,
9,
73
] | 66 | [
"73-56=17",
"9*17=153",
"153-87=66"
] | Current State: 66:[56, 87, 9, 73], Operations: []
Exploring Operation: 73-56=17, Resulting Numbers: [87, 9, 17]
Generated Node #2: [87, 9, 17] from Operation: 73-56=17
Current State: 66:[87, 9, 17], Operations: ['73-56=17']
Exploring Operation: 9*17=153, Resulting Numbers: [87, 153]
Generated Node #3: [87, 153] from Operation: 9*17=153
Current State: 66:[87, 153], Operations: ['73-56=17', '9*17=153']
Exploring Operation: 153-87=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
45,
26,
28,
22
] | 56 | [
"28-26=2",
"22/2=11",
"45+11=56"
] | Current State: 56:[45, 26, 28, 22], Operations: []
Exploring Operation: 28-26=2, Resulting Numbers: [45, 22, 2]
Generated Node #2: [45, 22, 2] from Operation: 28-26=2
Current State: 56:[45, 22, 2], Operations: ['28-26=2']
Exploring Operation: 22/2=11, Resulting Numbers: [45, 11]
Generated Node #3: [45, 11] from Operation: 22/2=11
Current State: 56:[45, 11], Operations: ['28-26=2', '22/2=11']
Exploring Operation: 45+11=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
96,
12,
24,
72
] | 33 | [
"96/12=8",
"72/8=9",
"24+9=33"
] | Current State: 33:[96, 12, 24, 72], Operations: []
Exploring Operation: 96/12=8, Resulting Numbers: [24, 72, 8]
Generated Node #2: [24, 72, 8] from Operation: 96/12=8
Current State: 33:[24, 72, 8], Operations: ['96/12=8']
Exploring Operation: 72/8=9, Resulting Numbers: [24, 9]
Generated Node #3: [24, 9] from Operation: 72/8=9
Current State: 33:[24, 9], Operations: ['96/12=8', '72/8=9']
Exploring Operation: 24+9=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
74,
96,
3,
74
] | 33 | [
"74/74=1",
"96/3=32",
"1+32=33"
] | Current State: 33:[74, 96, 3, 74], Operations: []
Exploring Operation: 74/74=1, Resulting Numbers: [96, 3, 1]
Generated Node #2: [96, 3, 1] from Operation: 74/74=1
Current State: 33:[96, 3, 1], Operations: ['74/74=1']
Exploring Operation: 96/3=32, Resulting Numbers: [1, 32]
Generated Node #3: [1, 32] from Operation: 96/3=32
Current State: 33:[1, 32], Operations: ['74/74=1', '96/3=32']
Exploring Operation: 1+32=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
38,
97,
71,
95
] | 65 | [
"97-71=26",
"95*26=2470",
"2470/38=65"
] | Current State: 65:[38, 97, 71, 95], Operations: []
Exploring Operation: 97-71=26, Resulting Numbers: [38, 95, 26]
Generated Node #2: [38, 95, 26] from Operation: 97-71=26
Current State: 65:[38, 95, 26], Operations: ['97-71=26']
Exploring Operation: 95*26=2470, Resulting Numbers: [38, 2470]
Generated Node #3: [38, 2470] from Operation: 95*26=2470
Current State: 65:[38, 2470], Operations: ['97-71=26', '95*26=2470']
Exploring Operation: 2470/38=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
76,
34,
6,
14
] | 92 | [
"34*14=476",
"76+476=552",
"552/6=92"
] | Current State: 92:[76, 34, 6, 14], Operations: []
Exploring Operation: 34*14=476, Resulting Numbers: [76, 6, 476]
Generated Node #2: [76, 6, 476] from Operation: 34*14=476
Current State: 92:[76, 6, 476], Operations: ['34*14=476']
Exploring Operation: 76+476=552, Resulting Numbers: [6, 552]
Generated Node #3: [6, 552] from Operation: 76+476=552
Current State: 92:[6, 552], Operations: ['34*14=476', '76+476=552']
Exploring Operation: 552/6=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
84,
67,
61,
3
] | 22 | [
"84/3=28",
"67-61=6",
"28-6=22"
] | Current State: 22:[84, 67, 61, 3], Operations: []
Exploring Operation: 84/3=28, Resulting Numbers: [67, 61, 28]
Generated Node #2: [67, 61, 28] from Operation: 84/3=28
Current State: 22:[67, 61, 28], Operations: ['84/3=28']
Exploring Operation: 67-61=6, Resulting Numbers: [28, 6]
Generated Node #3: [28, 6] from Operation: 67-61=6
Current State: 22:[28, 6], Operations: ['84/3=28', '67-61=6']
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
53,
40,
63,
63
] | 94 | [
"53+40=93",
"63/63=1",
"93+1=94"
] | Current State: 94:[53, 40, 63, 63], Operations: []
Exploring Operation: 53+40=93, Resulting Numbers: [63, 63, 93]
Generated Node #2: [63, 63, 93] from Operation: 53+40=93
Current State: 94:[63, 63, 93], Operations: ['53+40=93']
Exploring Operation: 63/63=1, Resulting Numbers: [93, 1]
Generated Node #3: [93, 1] from Operation: 63/63=1
Current State: 94:[93, 1], Operations: ['53+40=93', '63/63=1']
Exploring Operation: 93+1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
13,
97,
14,
44
] | 26 | [
"97-13=84",
"14+44=58",
"84-58=26"
] | Current State: 26:[13, 97, 14, 44], Operations: []
Exploring Operation: 97-13=84, Resulting Numbers: [14, 44, 84]
Generated Node #2: [14, 44, 84] from Operation: 97-13=84
Current State: 26:[14, 44, 84], Operations: ['97-13=84']
Exploring Operation: 14+44=58, Resulting Numbers: [84, 58]
Generated Node #3: [84, 58] from Operation: 14+44=58
Current State: 26:[84, 58], Operations: ['97-13=84', '14+44=58']
Exploring Operation: 84-58=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
43,
70,
86,
94
] | 59 | [
"43*70=3010",
"3010/86=35",
"94-35=59"
] | Current State: 59:[43, 70, 86, 94], Operations: []
Exploring Operation: 43*70=3010, Resulting Numbers: [86, 94, 3010]
Generated Node #2: [86, 94, 3010] from Operation: 43*70=3010
Current State: 59:[86, 94, 3010], Operations: ['43*70=3010']
Exploring Operation: 3010/86=35, Resulting Numbers: [94, 35]
Generated Node #3: [94, 35] from Operation: 3010/86=35
Current State: 59:[94, 35], Operations: ['43*70=3010', '3010/86=35']
Exploring Operation: 94-35=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
26,
48,
30,
27
] | 71 | [
"26+48=74",
"30-27=3",
"74-3=71"
] | Current State: 71:[26, 48, 30, 27], Operations: []
Exploring Operation: 26+48=74, Resulting Numbers: [30, 27, 74]
Generated Node #2: [30, 27, 74] from Operation: 26+48=74
Current State: 71:[30, 27, 74], Operations: ['26+48=74']
Exploring Operation: 30-27=3, Resulting Numbers: [74, 3]
Generated Node #3: [74, 3] from Operation: 30-27=3
Current State: 71:[74, 3], Operations: ['26+48=74', '30-27=3']
Exploring Operation: 74-3=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
73,
51,
77,
69
] | 32 | [
"73-69=4",
"51+77=128",
"128/4=32"
] | Current State: 32:[73, 51, 77, 69], Operations: []
Exploring Operation: 73-69=4, Resulting Numbers: [51, 77, 4]
Generated Node #2: [51, 77, 4] from Operation: 73-69=4
Current State: 32:[51, 77, 4], Operations: ['73-69=4']
Exploring Operation: 51+77=128, Resulting Numbers: [4, 128]
Generated Node #3: [4, 128] from Operation: 51+77=128
Current State: 32:[4, 128], Operations: ['73-69=4', '51+77=128']
Exploring Operation: 128/4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
53,
70,
89,
97
] | 63 | [
"53+70=123",
"89+97=186",
"186-123=63"
] | Current State: 63:[53, 70, 89, 97], Operations: []
Exploring Operation: 53+70=123, Resulting Numbers: [89, 97, 123]
Generated Node #2: [89, 97, 123] from Operation: 53+70=123
Current State: 63:[89, 97, 123], Operations: ['53+70=123']
Exploring Operation: 89+97=186, Resulting Numbers: [123, 186]
Generated Node #3: [123, 186] from Operation: 89+97=186
Current State: 63:[123, 186], Operations: ['53+70=123', '89+97=186']
Exploring Operation: 186-123=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
6,
4,
52,
24
] | 44 | [
"24/6=4",
"52-4=48",
"48-4=44"
] | Current State: 44:[6, 4, 52, 24], Operations: []
Exploring Operation: 24/6=4, Resulting Numbers: [4, 52, 4]
Generated Node #2: [4, 52, 4] from Operation: 24/6=4
Current State: 44:[4, 52, 4], Operations: ['24/6=4']
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,44 equal: Goal Reached
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
5,
4,
98,
2
] | 100 | [
"5-4=1",
"98+2=100",
"1*100=100"
] | Current State: 100:[5, 4, 98, 2], Operations: []
Exploring Operation: 5-4=1, Resulting Numbers: [98, 2, 1]
Generated Node #2: [98, 2, 1] from Operation: 5-4=1
Current State: 100:[98, 2, 1], Operations: ['5-4=1']
Exploring Operation: 98+2=100, Resulting Numbers: [1, 100]
Generated Node #3: [1, 100] from Operation: 98+2=100
Current State: 100:[1, 100], Operations: ['5-4=1', '98+2=100']
Exploring Operation: 1*100=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
50,
44,
55,
55
] | 95 | [
"50+44=94",
"55/55=1",
"94+1=95"
] | Current State: 95:[50, 44, 55, 55], Operations: []
Exploring Operation: 50+44=94, Resulting Numbers: [55, 55, 94]
Generated Node #2: [55, 55, 94] from Operation: 50+44=94
Current State: 95:[55, 55, 94], Operations: ['50+44=94']
Exploring Operation: 55/55=1, Resulting Numbers: [94, 1]
Generated Node #3: [94, 1] from Operation: 55/55=1
Current State: 95:[94, 1], Operations: ['50+44=94', '55/55=1']
Exploring Operation: 94+1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
55,
74,
59,
84
] | 14 | [
"55+74=129",
"59+84=143",
"143-129=14"
] | Current State: 14:[55, 74, 59, 84], Operations: []
Exploring Operation: 55+74=129, Resulting Numbers: [59, 84, 129]
Generated Node #2: [59, 84, 129] from Operation: 55+74=129
Current State: 14:[59, 84, 129], Operations: ['55+74=129']
Exploring Operation: 59+84=143, Resulting Numbers: [129, 143]
Generated Node #3: [129, 143] from Operation: 59+84=143
Current State: 14:[129, 143], Operations: ['55+74=129', '59+84=143']
Exploring Operation: 143-129=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
89,
72,
89,
8
] | 79 | [
"89/89=1",
"72+8=80",
"80-1=79"
] | Current State: 79:[89, 72, 89, 8], Operations: []
Exploring Operation: 89/89=1, Resulting Numbers: [72, 8, 1]
Generated Node #2: [72, 8, 1] from Operation: 89/89=1
Current State: 79:[72, 8, 1], Operations: ['89/89=1']
Exploring Operation: 72+8=80, Resulting Numbers: [1, 80]
Generated Node #3: [1, 80] from Operation: 72+8=80
Current State: 79:[1, 80], Operations: ['89/89=1', '72+8=80']
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
74,
43,
81,
19
] | 72 | [
"81-43=38",
"38/19=2",
"74-2=72"
] | Current State: 72:[74, 43, 81, 19], Operations: []
Exploring Operation: 81-43=38, Resulting Numbers: [74, 19, 38]
Generated Node #2: [74, 19, 38] from Operation: 81-43=38
Current State: 72:[74, 19, 38], Operations: ['81-43=38']
Exploring Operation: 38/19=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 38/19=2
Current State: 72:[74, 2], Operations: ['81-43=38', '38/19=2']
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
96,
2,
59,
80
] | 54 | [
"80-59=21",
"2*21=42",
"96-42=54"
] | Current State: 54:[96, 2, 59, 80], Operations: []
Exploring Operation: 80-59=21, Resulting Numbers: [96, 2, 21]
Generated Node #2: [96, 2, 21] from Operation: 80-59=21
Current State: 54:[96, 2, 21], Operations: ['80-59=21']
Exploring Operation: 2*21=42, Resulting Numbers: [96, 42]
Generated Node #3: [96, 42] from Operation: 2*21=42
Current State: 54:[96, 42], Operations: ['80-59=21', '2*21=42']
Exploring Operation: 96-42=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
55,
48,
12,
11
] | 40 | [
"55-11=44",
"48/12=4",
"44-4=40"
] | Current State: 40:[55, 48, 12, 11], Operations: []
Exploring Operation: 55-11=44, Resulting Numbers: [48, 12, 44]
Generated Node #2: [48, 12, 44] from Operation: 55-11=44
Current State: 40:[48, 12, 44], Operations: ['55-11=44']
Exploring Operation: 48/12=4, Resulting Numbers: [44, 4]
Generated Node #3: [44, 4] from Operation: 48/12=4
Current State: 40:[44, 4], Operations: ['55-11=44', '48/12=4']
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
55,
49,
5,
15
] | 81 | [
"55-49=6",
"5*15=75",
"6+75=81"
] | Current State: 81:[55, 49, 5, 15], Operations: []
Exploring Operation: 55-49=6, Resulting Numbers: [5, 15, 6]
Generated Node #2: [5, 15, 6] from Operation: 55-49=6
Current State: 81:[5, 15, 6], Operations: ['55-49=6']
Exploring Operation: 5*15=75, Resulting Numbers: [6, 75]
Generated Node #3: [6, 75] from Operation: 5*15=75
Current State: 81:[6, 75], Operations: ['55-49=6', '5*15=75']
Exploring Operation: 6+75=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
16,
11,
68,
62
] | 85 | [
"68-62=6",
"16*6=96",
"96-11=85"
] | Current State: 85:[16, 11, 68, 62], Operations: []
Exploring Operation: 68-62=6, Resulting Numbers: [16, 11, 6]
Generated Node #2: [16, 11, 6] from Operation: 68-62=6
Current State: 85:[16, 11, 6], Operations: ['68-62=6']
Exploring Operation: 16*6=96, Resulting Numbers: [11, 96]
Generated Node #3: [11, 96] from Operation: 16*6=96
Current State: 85:[11, 96], Operations: ['68-62=6', '16*6=96']
Exploring Operation: 96-11=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
4,
72,
85,
37
] | 20 | [
"72-4=68",
"85-37=48",
"68-48=20"
] | Current State: 20:[4, 72, 85, 37], Operations: []
Exploring Operation: 72-4=68, Resulting Numbers: [85, 37, 68]
Generated Node #2: [85, 37, 68] from Operation: 72-4=68
Current State: 20:[85, 37, 68], Operations: ['72-4=68']
Exploring Operation: 85-37=48, Resulting Numbers: [68, 48]
Generated Node #3: [68, 48] from Operation: 85-37=48
Current State: 20:[68, 48], Operations: ['72-4=68', '85-37=48']
Exploring Operation: 68-48=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
24,
31,
73,
31
] | 73 | [
"31-31=0",
"24*0=0",
"73+0=73"
] | Current State: 73:[24, 31, 73, 31], Operations: []
Exploring Operation: 31-31=0, Resulting Numbers: [24, 73, 0]
Generated Node #2: [24, 73, 0] from Operation: 31-31=0
Current State: 73:[24, 73, 0], Operations: ['31-31=0']
Exploring Operation: 24*0=0, Resulting Numbers: [73, 0]
Generated Node #3: [73, 0] from Operation: 24*0=0
Current State: 73:[73, 0], Operations: ['31-31=0', '24*0=0']
Exploring Operation: 73+0=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
47,
25,
2,
38
] | 62 | [
"47-25=22",
"2+38=40",
"22+40=62"
] | Current State: 62:[47, 25, 2, 38], Operations: []
Exploring Operation: 47-25=22, Resulting Numbers: [2, 38, 22]
Generated Node #2: [2, 38, 22] from Operation: 47-25=22
Current State: 62:[2, 38, 22], Operations: ['47-25=22']
Exploring Operation: 2+38=40, Resulting Numbers: [22, 40]
Generated Node #3: [22, 40] from Operation: 2+38=40
Current State: 62:[22, 40], Operations: ['47-25=22', '2+38=40']
Exploring Operation: 22+40=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
38,
56,
40,
66
] | 94 | [
"40-38=2",
"56/2=28",
"66+28=94"
] | Current State: 94:[38, 56, 40, 66], Operations: []
Exploring Operation: 40-38=2, Resulting Numbers: [56, 66, 2]
Generated Node #2: [56, 66, 2] from Operation: 40-38=2
Current State: 94:[56, 66, 2], Operations: ['40-38=2']
Exploring Operation: 56/2=28, Resulting Numbers: [66, 28]
Generated Node #3: [66, 28] from Operation: 56/2=28
Current State: 94:[66, 28], Operations: ['40-38=2', '56/2=28']
Exploring Operation: 66+28=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
62,
51,
8,
10
] | 73 | [
"10-8=2",
"62*2=124",
"124-51=73"
] | Current State: 73:[62, 51, 8, 10], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [62, 51, 2]
Generated Node #2: [62, 51, 2] from Operation: 10-8=2
Current State: 73:[62, 51, 2], Operations: ['10-8=2']
Exploring Operation: 62*2=124, Resulting Numbers: [51, 124]
Generated Node #3: [51, 124] from Operation: 62*2=124
Current State: 73:[51, 124], Operations: ['10-8=2', '62*2=124']
Exploring Operation: 124-51=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
60,
53,
34,
62
] | 15 | [
"62-60=2",
"34*2=68",
"68-53=15"
] | Current State: 15:[60, 53, 34, 62], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [53, 34, 2]
Generated Node #2: [53, 34, 2] from Operation: 62-60=2
Current State: 15:[53, 34, 2], Operations: ['62-60=2']
Exploring Operation: 34*2=68, Resulting Numbers: [53, 68]
Generated Node #3: [53, 68] from Operation: 34*2=68
Current State: 15:[53, 68], Operations: ['62-60=2', '34*2=68']
Exploring Operation: 68-53=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
2,
58,
20,
86
] | 12 | [
"2*20=40",
"86-58=28",
"40-28=12"
] | Current State: 12:[2, 58, 20, 86], Operations: []
Exploring Operation: 2*20=40, Resulting Numbers: [58, 86, 40]
Generated Node #2: [58, 86, 40] from Operation: 2*20=40
Current State: 12:[58, 86, 40], Operations: ['2*20=40']
Exploring Operation: 86-58=28, Resulting Numbers: [40, 28]
Generated Node #3: [40, 28] from Operation: 86-58=28
Current State: 12:[40, 28], Operations: ['2*20=40', '86-58=28']
Exploring Operation: 40-28=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
13,
40,
66,
11
] | 21 | [
"40-13=27",
"66/11=6",
"27-6=21"
] | Current State: 21:[13, 40, 66, 11], Operations: []
Exploring Operation: 40-13=27, Resulting Numbers: [66, 11, 27]
Generated Node #2: [66, 11, 27] from Operation: 40-13=27
Current State: 21:[66, 11, 27], Operations: ['40-13=27']
Exploring Operation: 66/11=6, Resulting Numbers: [27, 6]
Generated Node #3: [27, 6] from Operation: 66/11=6
Current State: 21:[27, 6], Operations: ['40-13=27', '66/11=6']
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
99,
87,
80,
43
] | 48 | [
"87*43=3741",
"99+3741=3840",
"3840/80=48"
] | Current State: 48:[99, 87, 80, 43], Operations: []
Exploring Operation: 87*43=3741, Resulting Numbers: [99, 80, 3741]
Generated Node #2: [99, 80, 3741] from Operation: 87*43=3741
Current State: 48:[99, 80, 3741], Operations: ['87*43=3741']
Exploring Operation: 99+3741=3840, Resulting Numbers: [80, 3840]
Generated Node #3: [80, 3840] from Operation: 99+3741=3840
Current State: 48:[80, 3840], Operations: ['87*43=3741', '99+3741=3840']
Exploring Operation: 3840/80=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
32,
26,
39,
5
] | 97 | [
"39-26=13",
"5*13=65",
"32+65=97"
] | Current State: 97:[32, 26, 39, 5], Operations: []
Exploring Operation: 39-26=13, Resulting Numbers: [32, 5, 13]
Generated Node #2: [32, 5, 13] from Operation: 39-26=13
Current State: 97:[32, 5, 13], Operations: ['39-26=13']
Exploring Operation: 5*13=65, Resulting Numbers: [32, 65]
Generated Node #3: [32, 65] from Operation: 5*13=65
Current State: 97:[32, 65], Operations: ['39-26=13', '5*13=65']
Exploring Operation: 32+65=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
53,
71,
2,
83
] | 42 | [
"53+71=124",
"2*83=166",
"166-124=42"
] | Current State: 42:[53, 71, 2, 83], Operations: []
Exploring Operation: 53+71=124, Resulting Numbers: [2, 83, 124]
Generated Node #2: [2, 83, 124] from Operation: 53+71=124
Current State: 42:[2, 83, 124], Operations: ['53+71=124']
Exploring Operation: 2*83=166, Resulting Numbers: [124, 166]
Generated Node #3: [124, 166] from Operation: 2*83=166
Current State: 42:[124, 166], Operations: ['53+71=124', '2*83=166']
Exploring Operation: 166-124=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
55,
14,
46,
28
] | 42 | [
"55+14=69",
"28*69=1932",
"1932/46=42"
] | Current State: 42:[55, 14, 46, 28], Operations: []
Exploring Operation: 55+14=69, Resulting Numbers: [46, 28, 69]
Generated Node #2: [46, 28, 69] from Operation: 55+14=69
Current State: 42:[46, 28, 69], Operations: ['55+14=69']
Exploring Operation: 28*69=1932, Resulting Numbers: [46, 1932]
Generated Node #3: [46, 1932] from Operation: 28*69=1932
Current State: 42:[46, 1932], Operations: ['55+14=69', '28*69=1932']
Exploring Operation: 1932/46=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
6,
86,
1,
43
] | 37 | [
"86-6=80",
"1*43=43",
"80-43=37"
] | Current State: 37:[6, 86, 1, 43], Operations: []
Exploring Operation: 86-6=80, Resulting Numbers: [1, 43, 80]
Generated Node #2: [1, 43, 80] from Operation: 86-6=80
Current State: 37:[1, 43, 80], Operations: ['86-6=80']
Exploring Operation: 1*43=43, Resulting Numbers: [80, 43]
Generated Node #3: [80, 43] from Operation: 1*43=43
Current State: 37:[80, 43], Operations: ['86-6=80', '1*43=43']
Exploring Operation: 80-43=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
16,
19,
3,
13
] | 13 | [
"19-16=3",
"3+13=16",
"16-3=13"
] | Current State: 13:[16, 19, 3, 13], Operations: []
Exploring Operation: 19-16=3, Resulting Numbers: [3, 13, 3]
Generated Node #2: [3, 13, 3] from Operation: 19-16=3
Current State: 13:[3, 13, 3], Operations: ['19-16=3']
Exploring Operation: 3+13=16, Resulting Numbers: [16]
16,13 equal: Goal Reached
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
54,
8,
52,
53
] | 62 | [
"54+8=62",
"53-52=1",
"62*1=62"
] | Current State: 62:[54, 8, 52, 53], Operations: []
Exploring Operation: 54+8=62, Resulting Numbers: [52, 53, 62]
Generated Node #2: [52, 53, 62] from Operation: 54+8=62
Current State: 62:[52, 53, 62], Operations: ['54+8=62']
Exploring Operation: 53-52=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 53-52=1
Current State: 62:[62, 1], Operations: ['54+8=62', '53-52=1']
Exploring Operation: 62*1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
26,
12,
78,
40
] | 84 | [
"78/26=3",
"40-12=28",
"3*28=84"
] | Current State: 84:[26, 12, 78, 40], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [12, 40, 3]
Generated Node #2: [12, 40, 3] from Operation: 78/26=3
Current State: 84:[12, 40, 3], Operations: ['78/26=3']
Exploring Operation: 40-12=28, Resulting Numbers: [3, 28]
Generated Node #3: [3, 28] from Operation: 40-12=28
Current State: 84:[3, 28], Operations: ['78/26=3', '40-12=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
45,
64,
3,
3
] | 79 | [
"64*3=192",
"45+192=237",
"237/3=79"
] | Current State: 79:[45, 64, 3, 3], Operations: []
Exploring Operation: 64*3=192, Resulting Numbers: [45, 192]
Generated Node #2: [45, 192] from Operation: 64*3=192
Current State: 79:[45, 192], Operations: ['64*3=192']
Exploring Operation: 45+192=237, Resulting Numbers: [237]
237,79 equal: Goal Reached
Exploring Operation: 237/3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
75,
83,
32,
91
] | 85 | [
"91-75=16",
"32/16=2",
"83+2=85"
] | Current State: 85:[75, 83, 32, 91], Operations: []
Exploring Operation: 91-75=16, Resulting Numbers: [83, 32, 16]
Generated Node #2: [83, 32, 16] from Operation: 91-75=16
Current State: 85:[83, 32, 16], Operations: ['91-75=16']
Exploring Operation: 32/16=2, Resulting Numbers: [83, 2]
Generated Node #3: [83, 2] from Operation: 32/16=2
Current State: 85:[83, 2], Operations: ['91-75=16', '32/16=2']
Exploring Operation: 83+2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
58,
19,
1,
58
] | 21 | [
"58/58=1",
"19+1=20",
"1+20=21"
] | Current State: 21:[58, 19, 1, 58], Operations: []
Exploring Operation: 58/58=1, Resulting Numbers: [19, 1, 1]
Generated Node #2: [19, 1, 1] from Operation: 58/58=1
Current State: 21:[19, 1, 1], Operations: ['58/58=1']
Exploring Operation: 19+1=20, Resulting Numbers: [20]
20,21 equal: Goal Reached
Exploring Operation: 1+20=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
78,
38,
14,
27
] | 66 | [
"78*14=1092",
"38*27=1026",
"1092-1026=66"
] | Current State: 66:[78, 38, 14, 27], Operations: []
Exploring Operation: 78*14=1092, Resulting Numbers: [38, 27, 1092]
Generated Node #2: [38, 27, 1092] from Operation: 78*14=1092
Current State: 66:[38, 27, 1092], Operations: ['78*14=1092']
Exploring Operation: 38*27=1026, Resulting Numbers: [1092, 1026]
Generated Node #3: [1092, 1026] from Operation: 38*27=1026
Current State: 66:[1092, 1026], Operations: ['78*14=1092', '38*27=1026']
Exploring Operation: 1092-1026=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
25,
49,
58,
53
] | 29 | [
"49-25=24",
"58-53=5",
"24+5=29"
] | Current State: 29:[25, 49, 58, 53], Operations: []
Exploring Operation: 49-25=24, Resulting Numbers: [58, 53, 24]
Generated Node #2: [58, 53, 24] from Operation: 49-25=24
Current State: 29:[58, 53, 24], Operations: ['49-25=24']
Exploring Operation: 58-53=5, Resulting Numbers: [24, 5]
Generated Node #3: [24, 5] from Operation: 58-53=5
Current State: 29:[24, 5], Operations: ['49-25=24', '58-53=5']
Exploring Operation: 24+5=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
5,
90,
43,
6
] | 98 | [
"5+43=48",
"48/6=8",
"90+8=98"
] | Current State: 98:[5, 90, 43, 6], Operations: []
Exploring Operation: 5+43=48, Resulting Numbers: [90, 6, 48]
Generated Node #2: [90, 6, 48] from Operation: 5+43=48
Current State: 98:[90, 6, 48], Operations: ['5+43=48']
Exploring Operation: 48/6=8, Resulting Numbers: [90, 8]
Generated Node #3: [90, 8] from Operation: 48/6=8
Current State: 98:[90, 8], Operations: ['5+43=48', '48/6=8']
Exploring Operation: 90+8=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
18,
32,
51,
81
] | 36 | [
"32+51=83",
"83-81=2",
"18*2=36"
] | Current State: 36:[18, 32, 51, 81], Operations: []
Exploring Operation: 32+51=83, Resulting Numbers: [18, 81, 83]
Generated Node #2: [18, 81, 83] from Operation: 32+51=83
Current State: 36:[18, 81, 83], Operations: ['32+51=83']
Exploring Operation: 83-81=2, Resulting Numbers: [18, 2]
Generated Node #3: [18, 2] from Operation: 83-81=2
Current State: 36:[18, 2], Operations: ['32+51=83', '83-81=2']
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
42,
28,
63,
12
] | 71 | [
"28*12=336",
"336/42=8",
"63+8=71"
] | Current State: 71:[42, 28, 63, 12], Operations: []
Exploring Operation: 28*12=336, Resulting Numbers: [42, 63, 336]
Generated Node #2: [42, 63, 336] from Operation: 28*12=336
Current State: 71:[42, 63, 336], Operations: ['28*12=336']
Exploring Operation: 336/42=8, Resulting Numbers: [63, 8]
Generated Node #3: [63, 8] from Operation: 336/42=8
Current State: 71:[63, 8], Operations: ['28*12=336', '336/42=8']
Exploring Operation: 63+8=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
4,
2,
79,
84
] | 41 | [
"4+79=83",
"84/2=42",
"83-42=41"
] | Current State: 41:[4, 2, 79, 84], Operations: []
Exploring Operation: 4+79=83, Resulting Numbers: [2, 84, 83]
Generated Node #2: [2, 84, 83] from Operation: 4+79=83
Current State: 41:[2, 84, 83], Operations: ['4+79=83']
Exploring Operation: 84/2=42, Resulting Numbers: [83, 42]
Generated Node #3: [83, 42] from Operation: 84/2=42
Current State: 41:[83, 42], Operations: ['4+79=83', '84/2=42']
Exploring Operation: 83-42=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
39,
33,
84,
42
] | 77 | [
"39-33=6",
"42/6=7",
"84-7=77"
] | Current State: 77:[39, 33, 84, 42], Operations: []
Exploring Operation: 39-33=6, Resulting Numbers: [84, 42, 6]
Generated Node #2: [84, 42, 6] from Operation: 39-33=6
Current State: 77:[84, 42, 6], Operations: ['39-33=6']
Exploring Operation: 42/6=7, Resulting Numbers: [84, 7]
Generated Node #3: [84, 7] from Operation: 42/6=7
Current State: 77:[84, 7], Operations: ['39-33=6', '42/6=7']
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
2,
21,
86,
33
] | 64 | [
"86-21=65",
"65-33=32",
"2*32=64"
] | Current State: 64:[2, 21, 86, 33], Operations: []
Exploring Operation: 86-21=65, Resulting Numbers: [2, 33, 65]
Generated Node #2: [2, 33, 65] from Operation: 86-21=65
Current State: 64:[2, 33, 65], Operations: ['86-21=65']
Exploring Operation: 65-33=32, Resulting Numbers: [2, 32]
Generated Node #3: [2, 32] from Operation: 65-33=32
Current State: 64:[2, 32], Operations: ['86-21=65', '65-33=32']
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
51,
34,
46,
54
] | 10 | [
"34*54=1836",
"1836/51=36",
"46-36=10"
] | Current State: 10:[51, 34, 46, 54], Operations: []
Exploring Operation: 34*54=1836, Resulting Numbers: [51, 46, 1836]
Generated Node #2: [51, 46, 1836] from Operation: 34*54=1836
Current State: 10:[51, 46, 1836], Operations: ['34*54=1836']
Exploring Operation: 1836/51=36, Resulting Numbers: [46, 36]
Generated Node #3: [46, 36] from Operation: 1836/51=36
Current State: 10:[46, 36], Operations: ['34*54=1836', '1836/51=36']
Exploring Operation: 46-36=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
87,
3,
2,
5
] | 16 | [
"87+3=90",
"90/5=18",
"18-2=16"
] | Current State: 16:[87, 3, 2, 5], Operations: []
Exploring Operation: 87+3=90, Resulting Numbers: [2, 5, 90]
Generated Node #2: [2, 5, 90] from Operation: 87+3=90
Current State: 16:[2, 5, 90], Operations: ['87+3=90']
Exploring Operation: 90/5=18, Resulting Numbers: [2, 18]
Generated Node #3: [2, 18] from Operation: 90/5=18
Current State: 16:[2, 18], Operations: ['87+3=90', '90/5=18']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
8,
85,
31,
29
] | 75 | [
"85-8=77",
"31-29=2",
"77-2=75"
] | Current State: 75:[8, 85, 31, 29], Operations: []
Exploring Operation: 85-8=77, Resulting Numbers: [31, 29, 77]
Generated Node #2: [31, 29, 77] from Operation: 85-8=77
Current State: 75:[31, 29, 77], Operations: ['85-8=77']
Exploring Operation: 31-29=2, Resulting Numbers: [77, 2]
Generated Node #3: [77, 2] from Operation: 31-29=2
Current State: 75:[77, 2], Operations: ['85-8=77', '31-29=2']
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
78,
15,
94,
15
] | 17 | [
"94-78=16",
"15/15=1",
"16+1=17"
] | Current State: 17:[78, 15, 94, 15], Operations: []
Exploring Operation: 94-78=16, Resulting Numbers: [15, 15, 16]
Generated Node #2: [15, 15, 16] from Operation: 94-78=16
Current State: 17:[15, 15, 16], Operations: ['94-78=16']
Exploring Operation: 15/15=1, Resulting Numbers: [16, 1]
Generated Node #3: [16, 1] from Operation: 15/15=1
Current State: 17:[16, 1], Operations: ['94-78=16', '15/15=1']
Exploring Operation: 16+1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
1,
59,
47,
71
] | 58 | [
"1+59=60",
"47+71=118",
"118-60=58"
] | Current State: 58:[1, 59, 47, 71], Operations: []
Exploring Operation: 1+59=60, Resulting Numbers: [47, 71, 60]
Generated Node #2: [47, 71, 60] from Operation: 1+59=60
Current State: 58:[47, 71, 60], Operations: ['1+59=60']
Exploring Operation: 47+71=118, Resulting Numbers: [60, 118]
Generated Node #3: [60, 118] from Operation: 47+71=118
Current State: 58:[60, 118], Operations: ['1+59=60', '47+71=118']
Exploring Operation: 118-60=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
58,
81,
99,
61
] | 21 | [
"58+81=139",
"99+61=160",
"160-139=21"
] | Current State: 21:[58, 81, 99, 61], Operations: []
Exploring Operation: 58+81=139, Resulting Numbers: [99, 61, 139]
Generated Node #2: [99, 61, 139] from Operation: 58+81=139
Current State: 21:[99, 61, 139], Operations: ['58+81=139']
Exploring Operation: 99+61=160, Resulting Numbers: [139, 160]
Generated Node #3: [139, 160] from Operation: 99+61=160
Current State: 21:[139, 160], Operations: ['58+81=139', '99+61=160']
Exploring Operation: 160-139=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
84,
83,
55,
22
] | 77 | [
"84-83=1",
"55+22=77",
"1*77=77"
] | Current State: 77:[84, 83, 55, 22], Operations: []
Exploring Operation: 84-83=1, Resulting Numbers: [55, 22, 1]
Generated Node #2: [55, 22, 1] from Operation: 84-83=1
Current State: 77:[55, 22, 1], Operations: ['84-83=1']
Exploring Operation: 55+22=77, Resulting Numbers: [1, 77]
Generated Node #3: [1, 77] from Operation: 55+22=77
Current State: 77:[1, 77], Operations: ['84-83=1', '55+22=77']
Exploring Operation: 1*77=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
79,
36,
62,
24
] | 81 | [
"79-36=43",
"62-24=38",
"43+38=81"
] | Current State: 81:[79, 36, 62, 24], Operations: []
Exploring Operation: 79-36=43, Resulting Numbers: [62, 24, 43]
Generated Node #2: [62, 24, 43] from Operation: 79-36=43
Current State: 81:[62, 24, 43], Operations: ['79-36=43']
Exploring Operation: 62-24=38, Resulting Numbers: [43, 38]
Generated Node #3: [43, 38] from Operation: 62-24=38
Current State: 81:[43, 38], Operations: ['79-36=43', '62-24=38']
Exploring Operation: 43+38=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
77,
33,
85,
94
] | 38 | [
"94-77=17",
"85/17=5",
"33+5=38"
] | Current State: 38:[77, 33, 85, 94], Operations: []
Exploring Operation: 94-77=17, Resulting Numbers: [33, 85, 17]
Generated Node #2: [33, 85, 17] from Operation: 94-77=17
Current State: 38:[33, 85, 17], Operations: ['94-77=17']
Exploring Operation: 85/17=5, Resulting Numbers: [33, 5]
Generated Node #3: [33, 5] from Operation: 85/17=5
Current State: 38:[33, 5], Operations: ['94-77=17', '85/17=5']
Exploring Operation: 33+5=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
12,
14,
95,
15
] | 62 | [
"12*95=1140",
"1140/15=76",
"76-14=62"
] | Current State: 62:[12, 14, 95, 15], Operations: []
Exploring Operation: 12*95=1140, Resulting Numbers: [14, 15, 1140]
Generated Node #2: [14, 15, 1140] from Operation: 12*95=1140
Current State: 62:[14, 15, 1140], Operations: ['12*95=1140']
Exploring Operation: 1140/15=76, Resulting Numbers: [14, 76]
Generated Node #3: [14, 76] from Operation: 1140/15=76
Current State: 62:[14, 76], Operations: ['12*95=1140', '1140/15=76']
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
52,
48,
65,
28
] | 71 | [
"52*65=3380",
"28+3380=3408",
"3408/48=71"
] | Current State: 71:[52, 48, 65, 28], Operations: []
Exploring Operation: 52*65=3380, Resulting Numbers: [48, 28, 3380]
Generated Node #2: [48, 28, 3380] from Operation: 52*65=3380
Current State: 71:[48, 28, 3380], Operations: ['52*65=3380']
Exploring Operation: 28+3380=3408, Resulting Numbers: [48, 3408]
Generated Node #3: [48, 3408] from Operation: 28+3380=3408
Current State: 71:[48, 3408], Operations: ['52*65=3380', '28+3380=3408']
Exploring Operation: 3408/48=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
64,
10,
24,
86
] | 56 | [
"64-10=54",
"24+86=110",
"110-54=56"
] | Current State: 56:[64, 10, 24, 86], Operations: []
Exploring Operation: 64-10=54, Resulting Numbers: [24, 86, 54]
Generated Node #2: [24, 86, 54] from Operation: 64-10=54
Current State: 56:[24, 86, 54], Operations: ['64-10=54']
Exploring Operation: 24+86=110, Resulting Numbers: [54, 110]
Generated Node #3: [54, 110] from Operation: 24+86=110
Current State: 56:[54, 110], Operations: ['64-10=54', '24+86=110']
Exploring Operation: 110-54=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
23,
7,
28,
46
] | 44 | [
"23+7=30",
"28+46=74",
"74-30=44"
] | Current State: 44:[23, 7, 28, 46], Operations: []
Exploring Operation: 23+7=30, Resulting Numbers: [28, 46, 30]
Generated Node #2: [28, 46, 30] from Operation: 23+7=30
Current State: 44:[28, 46, 30], Operations: ['23+7=30']
Exploring Operation: 28+46=74, Resulting Numbers: [30, 74]
Generated Node #3: [30, 74] from Operation: 28+46=74
Current State: 44:[30, 74], Operations: ['23+7=30', '28+46=74']
Exploring Operation: 74-30=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
13,
71,
76,
2
] | 68 | [
"13+71=84",
"76*2=152",
"152-84=68"
] | Current State: 68:[13, 71, 76, 2], Operations: []
Exploring Operation: 13+71=84, Resulting Numbers: [76, 2, 84]
Generated Node #2: [76, 2, 84] from Operation: 13+71=84
Current State: 68:[76, 2, 84], Operations: ['13+71=84']
Exploring Operation: 76*2=152, Resulting Numbers: [84, 152]
Generated Node #3: [84, 152] from Operation: 76*2=152
Current State: 68:[84, 152], Operations: ['13+71=84', '76*2=152']
Exploring Operation: 152-84=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
36,
87,
94,
69
] | 40 | [
"36+87=123",
"94+69=163",
"163-123=40"
] | Current State: 40:[36, 87, 94, 69], Operations: []
Exploring Operation: 36+87=123, Resulting Numbers: [94, 69, 123]
Generated Node #2: [94, 69, 123] from Operation: 36+87=123
Current State: 40:[94, 69, 123], Operations: ['36+87=123']
Exploring Operation: 94+69=163, Resulting Numbers: [123, 163]
Generated Node #3: [123, 163] from Operation: 94+69=163
Current State: 40:[123, 163], Operations: ['36+87=123', '94+69=163']
Exploring Operation: 163-123=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
37,
73,
57,
17
] | 38 | [
"73-37=36",
"57+17=74",
"74-36=38"
] | Current State: 38:[37, 73, 57, 17], Operations: []
Exploring Operation: 73-37=36, Resulting Numbers: [57, 17, 36]
Generated Node #2: [57, 17, 36] from Operation: 73-37=36
Current State: 38:[57, 17, 36], Operations: ['73-37=36']
Exploring Operation: 57+17=74, Resulting Numbers: [36, 74]
Generated Node #3: [36, 74] from Operation: 57+17=74
Current State: 38:[36, 74], Operations: ['73-37=36', '57+17=74']
Exploring Operation: 74-36=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
11,
19,
53,
97
] | 76 | [
"97-53=44",
"44/11=4",
"19*4=76"
] | Current State: 76:[11, 19, 53, 97], Operations: []
Exploring Operation: 97-53=44, Resulting Numbers: [11, 19, 44]
Generated Node #2: [11, 19, 44] from Operation: 97-53=44
Current State: 76:[11, 19, 44], Operations: ['97-53=44']
Exploring Operation: 44/11=4, Resulting Numbers: [19, 4]
Generated Node #3: [19, 4] from Operation: 44/11=4
Current State: 76:[19, 4], Operations: ['97-53=44', '44/11=4']
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
39,
48,
61,
63
] | 30 | [
"63-61=2",
"39*2=78",
"78-48=30"
] | Current State: 30:[39, 48, 61, 63], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [39, 48, 2]
Generated Node #2: [39, 48, 2] from Operation: 63-61=2
Current State: 30:[39, 48, 2], Operations: ['63-61=2']
Exploring Operation: 39*2=78, Resulting Numbers: [48, 78]
Generated Node #3: [48, 78] from Operation: 39*2=78
Current State: 30:[48, 78], Operations: ['63-61=2', '39*2=78']
Exploring Operation: 78-48=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
83,
82,
5,
35
] | 41 | [
"83-82=1",
"5+35=40",
"1+40=41"
] | Current State: 41:[83, 82, 5, 35], Operations: []
Exploring Operation: 83-82=1, Resulting Numbers: [5, 35, 1]
Generated Node #2: [5, 35, 1] from Operation: 83-82=1
Current State: 41:[5, 35, 1], Operations: ['83-82=1']
Exploring Operation: 5+35=40, Resulting Numbers: [1, 40]
Generated Node #3: [1, 40] from Operation: 5+35=40
Current State: 41:[1, 40], Operations: ['83-82=1', '5+35=40']
Exploring Operation: 1+40=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
25,
59,
53,
86
] | 51 | [
"25+59=84",
"86-53=33",
"84-33=51"
] | Current State: 51:[25, 59, 53, 86], Operations: []
Exploring Operation: 25+59=84, Resulting Numbers: [53, 86, 84]
Generated Node #2: [53, 86, 84] from Operation: 25+59=84
Current State: 51:[53, 86, 84], Operations: ['25+59=84']
Exploring Operation: 86-53=33, Resulting Numbers: [84, 33]
Generated Node #3: [84, 33] from Operation: 86-53=33
Current State: 51:[84, 33], Operations: ['25+59=84', '86-53=33']
Exploring Operation: 84-33=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
73,
22,
52,
90
] | 89 | [
"73-22=51",
"90-52=38",
"51+38=89"
] | Current State: 89:[73, 22, 52, 90], Operations: []
Exploring Operation: 73-22=51, Resulting Numbers: [52, 90, 51]
Generated Node #2: [52, 90, 51] from Operation: 73-22=51
Current State: 89:[52, 90, 51], Operations: ['73-22=51']
Exploring Operation: 90-52=38, Resulting Numbers: [51, 38]
Generated Node #3: [51, 38] from Operation: 90-52=38
Current State: 89:[51, 38], Operations: ['73-22=51', '90-52=38']
Exploring Operation: 51+38=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
41,
1,
14,
90
] | 62 | [
"41+1=42",
"14+90=104",
"104-42=62"
] | Current State: 62:[41, 1, 14, 90], Operations: []
Exploring Operation: 41+1=42, Resulting Numbers: [14, 90, 42]
Generated Node #2: [14, 90, 42] from Operation: 41+1=42
Current State: 62:[14, 90, 42], Operations: ['41+1=42']
Exploring Operation: 14+90=104, Resulting Numbers: [42, 104]
Generated Node #3: [42, 104] from Operation: 14+90=104
Current State: 62:[42, 104], Operations: ['41+1=42', '14+90=104']
Exploring Operation: 104-42=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
52,
4,
15,
52
] | 19 | [
"52+4=56",
"52-15=37",
"56-37=19"
] | Current State: 19:[52, 4, 15, 52], Operations: []
Exploring Operation: 52+4=56, Resulting Numbers: [15, 56]
Generated Node #2: [15, 56] from Operation: 52+4=56
Current State: 19:[15, 56], Operations: ['52+4=56']
Exploring Operation: 52-15=37, Resulting Numbers: [56, 37]
Generated Node #3: [56, 37] from Operation: 52-15=37
Current State: 19:[56, 37], Operations: ['52+4=56', '52-15=37']
Exploring Operation: 56-37=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
86,
76,
63,
58
] | 50 | [
"86-76=10",
"63-58=5",
"10*5=50"
] | Current State: 50:[86, 76, 63, 58], Operations: []
Exploring Operation: 86-76=10, Resulting Numbers: [63, 58, 10]
Generated Node #2: [63, 58, 10] from Operation: 86-76=10
Current State: 50:[63, 58, 10], Operations: ['86-76=10']
Exploring Operation: 63-58=5, Resulting Numbers: [10, 5]
Generated Node #3: [10, 5] from Operation: 63-58=5
Current State: 50:[10, 5], Operations: ['86-76=10', '63-58=5']
Exploring Operation: 10*5=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
10,
38,
87,
6
] | 14 | [
"87*6=522",
"10+522=532",
"532/38=14"
] | Current State: 14:[10, 38, 87, 6], Operations: []
Exploring Operation: 87*6=522, Resulting Numbers: [10, 38, 522]
Generated Node #2: [10, 38, 522] from Operation: 87*6=522
Current State: 14:[10, 38, 522], Operations: ['87*6=522']
Exploring Operation: 10+522=532, Resulting Numbers: [38, 532]
Generated Node #3: [38, 532] from Operation: 10+522=532
Current State: 14:[38, 532], Operations: ['87*6=522', '10+522=532']
Exploring Operation: 532/38=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
47,
17,
26,
10
] | 80 | [
"47+17=64",
"26-10=16",
"64+16=80"
] | Current State: 80:[47, 17, 26, 10], Operations: []
Exploring Operation: 47+17=64, Resulting Numbers: [26, 10, 64]
Generated Node #2: [26, 10, 64] from Operation: 47+17=64
Current State: 80:[26, 10, 64], Operations: ['47+17=64']
Exploring Operation: 26-10=16, Resulting Numbers: [64, 16]
Generated Node #3: [64, 16] from Operation: 26-10=16
Current State: 80:[64, 16], Operations: ['47+17=64', '26-10=16']
Exploring Operation: 64+16=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
49,
77,
11,
35
] | 12 | [
"49+35=84",
"77/11=7",
"84/7=12"
] | Current State: 12:[49, 77, 11, 35], Operations: []
Exploring Operation: 49+35=84, Resulting Numbers: [77, 11, 84]
Generated Node #2: [77, 11, 84] from Operation: 49+35=84
Current State: 12:[77, 11, 84], Operations: ['49+35=84']
Exploring Operation: 77/11=7, Resulting Numbers: [84, 7]
Generated Node #3: [84, 7] from Operation: 77/11=7
Current State: 12:[84, 7], Operations: ['49+35=84', '77/11=7']
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
60,
2,
61,
87
] | 73 | [
"87-61=26",
"26/2=13",
"60+13=73"
] | Current State: 73:[60, 2, 61, 87], Operations: []
Exploring Operation: 87-61=26, Resulting Numbers: [60, 2, 26]
Generated Node #2: [60, 2, 26] from Operation: 87-61=26
Current State: 73:[60, 2, 26], Operations: ['87-61=26']
Exploring Operation: 26/2=13, Resulting Numbers: [60, 13]
Generated Node #3: [60, 13] from Operation: 26/2=13
Current State: 73:[60, 13], Operations: ['87-61=26', '26/2=13']
Exploring Operation: 60+13=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
61,
49,
52,
25
] | 89 | [
"61-49=12",
"52+25=77",
"12+77=89"
] | Current State: 89:[61, 49, 52, 25], Operations: []
Exploring Operation: 61-49=12, Resulting Numbers: [52, 25, 12]
Generated Node #2: [52, 25, 12] from Operation: 61-49=12
Current State: 89:[52, 25, 12], Operations: ['61-49=12']
Exploring Operation: 52+25=77, Resulting Numbers: [12, 77]
Generated Node #3: [12, 77] from Operation: 52+25=77
Current State: 89:[12, 77], Operations: ['61-49=12', '52+25=77']
Exploring Operation: 12+77=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
54,
19,
38,
21
] | 90 | [
"54+19=73",
"38-21=17",
"73+17=90"
] | Current State: 90:[54, 19, 38, 21], Operations: []
Exploring Operation: 54+19=73, Resulting Numbers: [38, 21, 73]
Generated Node #2: [38, 21, 73] from Operation: 54+19=73
Current State: 90:[38, 21, 73], Operations: ['54+19=73']
Exploring Operation: 38-21=17, Resulting Numbers: [73, 17]
Generated Node #3: [73, 17] from Operation: 38-21=17
Current State: 90:[73, 17], Operations: ['54+19=73', '38-21=17']
Exploring Operation: 73+17=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
34,
34,
78,
10
] | 67 | [
"34/34=1",
"78-10=68",
"68-1=67"
] | Current State: 67:[34, 34, 78, 10], Operations: []
Exploring Operation: 34/34=1, Resulting Numbers: [78, 10, 1]
Generated Node #2: [78, 10, 1] from Operation: 34/34=1
Current State: 67:[78, 10, 1], Operations: ['34/34=1']
Exploring Operation: 78-10=68, Resulting Numbers: [1, 68]
Generated Node #3: [1, 68] from Operation: 78-10=68
Current State: 67:[1, 68], Operations: ['34/34=1', '78-10=68']
Exploring Operation: 68-1=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
6,
24,
52,
76
] | 96 | [
"24/6=4",
"76-52=24",
"4*24=96"
] | Current State: 96:[6, 24, 52, 76], Operations: []
Exploring Operation: 24/6=4, Resulting Numbers: [52, 76, 4]
Generated Node #2: [52, 76, 4] from Operation: 24/6=4
Current State: 96:[52, 76, 4], Operations: ['24/6=4']
Exploring Operation: 76-52=24, Resulting Numbers: [4, 24]
Generated Node #3: [4, 24] from Operation: 76-52=24
Current State: 96:[4, 24], Operations: ['24/6=4', '76-52=24']
Exploring Operation: 4*24=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
20,
83,
8,
17
] | 94 | [
"20+83=103",
"17-8=9",
"103-9=94"
] | Current State: 94:[20, 83, 8, 17], Operations: []
Exploring Operation: 20+83=103, Resulting Numbers: [8, 17, 103]
Generated Node #2: [8, 17, 103] from Operation: 20+83=103
Current State: 94:[8, 17, 103], Operations: ['20+83=103']
Exploring Operation: 17-8=9, Resulting Numbers: [103, 9]
Generated Node #3: [103, 9] from Operation: 17-8=9
Current State: 94:[103, 9], Operations: ['20+83=103', '17-8=9']
Exploring Operation: 103-9=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
56,
81,
2,
61
] | 16 | [
"81-61=20",
"2*20=40",
"56-40=16"
] | Current State: 16:[56, 81, 2, 61], Operations: []
Exploring Operation: 81-61=20, Resulting Numbers: [56, 2, 20]
Generated Node #2: [56, 2, 20] from Operation: 81-61=20
Current State: 16:[56, 2, 20], Operations: ['81-61=20']
Exploring Operation: 2*20=40, Resulting Numbers: [56, 40]
Generated Node #3: [56, 40] from Operation: 2*20=40
Current State: 16:[56, 40], Operations: ['81-61=20', '2*20=40']
Exploring Operation: 56-40=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
82,
80,
26,
51
] | 79 | [
"82-80=2",
"26+51=77",
"2+77=79"
] | Current State: 79:[82, 80, 26, 51], Operations: []
Exploring Operation: 82-80=2, Resulting Numbers: [26, 51, 2]
Generated Node #2: [26, 51, 2] from Operation: 82-80=2
Current State: 79:[26, 51, 2], Operations: ['82-80=2']
Exploring Operation: 26+51=77, Resulting Numbers: [2, 77]
Generated Node #3: [2, 77] from Operation: 26+51=77
Current State: 79:[2, 77], Operations: ['82-80=2', '26+51=77']
Exploring Operation: 2+77=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
99,
81,
42,
6
] | 10 | [
"99-81=18",
"42+18=60",
"60/6=10"
] | Current State: 10:[99, 81, 42, 6], Operations: []
Exploring Operation: 99-81=18, Resulting Numbers: [42, 6, 18]
Generated Node #2: [42, 6, 18] from Operation: 99-81=18
Current State: 10:[42, 6, 18], Operations: ['99-81=18']
Exploring Operation: 42+18=60, Resulting Numbers: [6, 60]
Generated Node #3: [6, 60] from Operation: 42+18=60
Current State: 10:[6, 60], Operations: ['99-81=18', '42+18=60']
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
8,
8,
86,
55
] | 55 | [
"8-8=0",
"86*0=0",
"55+0=55"
] | Current State: 55:[8, 8, 86, 55], Operations: []
Exploring Operation: 8-8=0, Resulting Numbers: [86, 55, 0]
Generated Node #2: [86, 55, 0] from Operation: 8-8=0
Current State: 55:[86, 55, 0], Operations: ['8-8=0']
Exploring Operation: 86*0=0, Resulting Numbers: [55, 0]
Generated Node #3: [55, 0] from Operation: 86*0=0
Current State: 55:[55, 0], Operations: ['8-8=0', '86*0=0']
Exploring Operation: 55+0=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
23,
4,
92,
85
] | 85 | [
"23*4=92",
"92+85=177",
"177-92=85"
] | Current State: 85:[23, 4, 92, 85], Operations: []
Exploring Operation: 23*4=92, Resulting Numbers: [92, 85, 92]
Generated Node #2: [92, 85, 92] from Operation: 23*4=92
Current State: 85:[92, 85, 92], Operations: ['23*4=92']
Exploring Operation: 92+85=177, Resulting Numbers: [177]
177,85 equal: Goal Reached
Exploring Operation: 177-92=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
60,
72,
45,
24
] | 90 | [
"72-60=12",
"45*24=1080",
"1080/12=90"
] | Current State: 90:[60, 72, 45, 24], Operations: []
Exploring Operation: 72-60=12, Resulting Numbers: [45, 24, 12]
Generated Node #2: [45, 24, 12] from Operation: 72-60=12
Current State: 90:[45, 24, 12], Operations: ['72-60=12']
Exploring Operation: 45*24=1080, Resulting Numbers: [12, 1080]
Generated Node #3: [12, 1080] from Operation: 45*24=1080
Current State: 90:[12, 1080], Operations: ['72-60=12', '45*24=1080']
Exploring Operation: 1080/12=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
68,
26,
87,
30
] | 23 | [
"68+26=94",
"87+30=117",
"117-94=23"
] | Current State: 23:[68, 26, 87, 30], Operations: []
Exploring Operation: 68+26=94, Resulting Numbers: [87, 30, 94]
Generated Node #2: [87, 30, 94] from Operation: 68+26=94
Current State: 23:[87, 30, 94], Operations: ['68+26=94']
Exploring Operation: 87+30=117, Resulting Numbers: [94, 117]
Generated Node #3: [94, 117] from Operation: 87+30=117
Current State: 23:[94, 117], Operations: ['68+26=94', '87+30=117']
Exploring Operation: 117-94=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
1,
64,
23,
7
] | 35 | [
"1+64=65",
"23+7=30",
"65-30=35"
] | Current State: 35:[1, 64, 23, 7], Operations: []
Exploring Operation: 1+64=65, Resulting Numbers: [23, 7, 65]
Generated Node #2: [23, 7, 65] from Operation: 1+64=65
Current State: 35:[23, 7, 65], Operations: ['1+64=65']
Exploring Operation: 23+7=30, Resulting Numbers: [65, 30]
Generated Node #3: [65, 30] from Operation: 23+7=30
Current State: 35:[65, 30], Operations: ['1+64=65', '23+7=30']
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
6,
42,
52,
36
] | 60 | [
"36/6=6",
"52-42=10",
"6*10=60"
] | Current State: 60:[6, 42, 52, 36], Operations: []
Exploring Operation: 36/6=6, Resulting Numbers: [42, 52, 6]
Generated Node #2: [42, 52, 6] from Operation: 36/6=6
Current State: 60:[42, 52, 6], Operations: ['36/6=6']
Exploring Operation: 52-42=10, Resulting Numbers: [6, 10]
Generated Node #3: [6, 10] from Operation: 52-42=10
Current State: 60:[6, 10], Operations: ['36/6=6', '52-42=10']
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
93,
28,
39,
32
] | 97 | [
"39-32=7",
"28/7=4",
"93+4=97"
] | Current State: 97:[93, 28, 39, 32], Operations: []
Exploring Operation: 39-32=7, Resulting Numbers: [93, 28, 7]
Generated Node #2: [93, 28, 7] from Operation: 39-32=7
Current State: 97:[93, 28, 7], Operations: ['39-32=7']
Exploring Operation: 28/7=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 28/7=4
Current State: 97:[93, 4], Operations: ['39-32=7', '28/7=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
19,
96,
14,
41
] | 11 | [
"19-14=5",
"96-41=55",
"55/5=11"
] | Current State: 11:[19, 96, 14, 41], Operations: []
Exploring Operation: 19-14=5, Resulting Numbers: [96, 41, 5]
Generated Node #2: [96, 41, 5] from Operation: 19-14=5
Current State: 11:[96, 41, 5], Operations: ['19-14=5']
Exploring Operation: 96-41=55, Resulting Numbers: [5, 55]
Generated Node #3: [5, 55] from Operation: 96-41=55
Current State: 11:[5, 55], Operations: ['19-14=5', '96-41=55']
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
57,
72,
66,
89
] | 26 | [
"57+72=129",
"66+89=155",
"155-129=26"
] | Current State: 26:[57, 72, 66, 89], Operations: []
Exploring Operation: 57+72=129, Resulting Numbers: [66, 89, 129]
Generated Node #2: [66, 89, 129] from Operation: 57+72=129
Current State: 26:[66, 89, 129], Operations: ['57+72=129']
Exploring Operation: 66+89=155, Resulting Numbers: [129, 155]
Generated Node #3: [129, 155] from Operation: 66+89=155
Current State: 26:[129, 155], Operations: ['57+72=129', '66+89=155']
Exploring Operation: 155-129=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
11,
52,
46,
49
] | 54 | [
"52-11=41",
"46+49=95",
"95-41=54"
] | Current State: 54:[11, 52, 46, 49], Operations: []
Exploring Operation: 52-11=41, Resulting Numbers: [46, 49, 41]
Generated Node #2: [46, 49, 41] from Operation: 52-11=41
Current State: 54:[46, 49, 41], Operations: ['52-11=41']
Exploring Operation: 46+49=95, Resulting Numbers: [41, 95]
Generated Node #3: [41, 95] from Operation: 46+49=95
Current State: 54:[41, 95], Operations: ['52-11=41', '46+49=95']
Exploring Operation: 95-41=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
8,
24,
1,
45
] | 49 | [
"24/8=3",
"1+45=46",
"3+46=49"
] | Current State: 49:[8, 24, 1, 45], Operations: []
Exploring Operation: 24/8=3, Resulting Numbers: [1, 45, 3]
Generated Node #2: [1, 45, 3] from Operation: 24/8=3
Current State: 49:[1, 45, 3], Operations: ['24/8=3']
Exploring Operation: 1+45=46, Resulting Numbers: [3, 46]
Generated Node #3: [3, 46] from Operation: 1+45=46
Current State: 49:[3, 46], Operations: ['24/8=3', '1+45=46']
Exploring Operation: 3+46=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
72,
35,
77,
70
] | 49 | [
"77-72=5",
"70/5=14",
"35+14=49"
] | Current State: 49:[72, 35, 77, 70], Operations: []
Exploring Operation: 77-72=5, Resulting Numbers: [35, 70, 5]
Generated Node #2: [35, 70, 5] from Operation: 77-72=5
Current State: 49:[35, 70, 5], Operations: ['77-72=5']
Exploring Operation: 70/5=14, Resulting Numbers: [35, 14]
Generated Node #3: [35, 14] from Operation: 70/5=14
Current State: 49:[35, 14], Operations: ['77-72=5', '70/5=14']
Exploring Operation: 35+14=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
61,
77,
78,
39
] | 69 | [
"61+77=138",
"78/39=2",
"138/2=69"
] | Current State: 69:[61, 77, 78, 39], Operations: []
Exploring Operation: 61+77=138, Resulting Numbers: [78, 39, 138]
Generated Node #2: [78, 39, 138] from Operation: 61+77=138
Current State: 69:[78, 39, 138], Operations: ['61+77=138']
Exploring Operation: 78/39=2, Resulting Numbers: [138, 2]
Generated Node #3: [138, 2] from Operation: 78/39=2
Current State: 69:[138, 2], Operations: ['61+77=138', '78/39=2']
Exploring Operation: 138/2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
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