nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
35,
50,
44,
77
] | 100 | [
"35+44=79",
"79-77=2",
"50*2=100"
] | Current State: 100:[35, 50, 44, 77], Operations: []
Exploring Operation: 35+44=79, Resulting Numbers: [50, 77, 79]
Generated Node #2: [50, 77, 79] from Operation: 35+44=79
Current State: 100:[50, 77, 79], Operations: ['35+44=79']
Exploring Operation: 79-77=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 79-77=2
Current State: 100:[50, 2], Operations: ['35+44=79', '79-77=2']
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
84,
77,
58,
92
] | 11 | [
"84+77=161",
"58+92=150",
"161-150=11"
] | Current State: 11:[84, 77, 58, 92], Operations: []
Exploring Operation: 84+77=161, Resulting Numbers: [58, 92, 161]
Generated Node #2: [58, 92, 161] from Operation: 84+77=161
Current State: 11:[58, 92, 161], Operations: ['84+77=161']
Exploring Operation: 58+92=150, Resulting Numbers: [161, 150]
Generated Node #3: [161, 150] from Operation: 58+92=150
Current State: 11:[161, 150], Operations: ['84+77=161', '58+92=150']
Exploring Operation: 161-150=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
14,
8,
83,
89
] | 64 | [
"14+83=97",
"97-89=8",
"8*8=64"
] | Current State: 64:[14, 8, 83, 89], Operations: []
Exploring Operation: 14+83=97, Resulting Numbers: [8, 89, 97]
Generated Node #2: [8, 89, 97] from Operation: 14+83=97
Current State: 64:[8, 89, 97], Operations: ['14+83=97']
Exploring Operation: 97-89=8, Resulting Numbers: [8, 8]
Generated Node #3: [8, 8] from Operation: 97-89=8
Current State: 64:[8, 8], Operations: ['14+83=97', '97-89=8']
Exploring Operation: 8*8=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
54,
34,
96,
28
] | 56 | [
"96-28=68",
"68/34=2",
"54+2=56"
] | Current State: 56:[54, 34, 96, 28], Operations: []
Exploring Operation: 96-28=68, Resulting Numbers: [54, 34, 68]
Generated Node #2: [54, 34, 68] from Operation: 96-28=68
Current State: 56:[54, 34, 68], Operations: ['96-28=68']
Exploring Operation: 68/34=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 68/34=2
Current State: 56:[54, 2], Operations: ['96-28=68', '68/34=2']
Exploring Operation: 54+2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
25,
29,
19,
77
] | 100 | [
"29-25=4",
"19+77=96",
"4+96=100"
] | Current State: 100:[25, 29, 19, 77], Operations: []
Exploring Operation: 29-25=4, Resulting Numbers: [19, 77, 4]
Generated Node #2: [19, 77, 4] from Operation: 29-25=4
Current State: 100:[19, 77, 4], Operations: ['29-25=4']
Exploring Operation: 19+77=96, Resulting Numbers: [4, 96]
Generated Node #3: [4, 96] from Operation: 19+77=96
Current State: 100:[4, 96], Operations: ['29-25=4', '19+77=96']
Exploring Operation: 4+96=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
14,
32,
41,
31
] | 28 | [
"32-14=18",
"41-31=10",
"18+10=28"
] | Current State: 28:[14, 32, 41, 31], Operations: []
Exploring Operation: 32-14=18, Resulting Numbers: [41, 31, 18]
Generated Node #2: [41, 31, 18] from Operation: 32-14=18
Current State: 28:[41, 31, 18], Operations: ['32-14=18']
Exploring Operation: 41-31=10, Resulting Numbers: [18, 10]
Generated Node #3: [18, 10] from Operation: 41-31=10
Current State: 28:[18, 10], Operations: ['32-14=18', '41-31=10']
Exploring Operation: 18+10=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
32,
47,
53,
4
] | 56 | [
"53-47=6",
"4*6=24",
"32+24=56"
] | Current State: 56:[32, 47, 53, 4], Operations: []
Exploring Operation: 53-47=6, Resulting Numbers: [32, 4, 6]
Generated Node #2: [32, 4, 6] from Operation: 53-47=6
Current State: 56:[32, 4, 6], Operations: ['53-47=6']
Exploring Operation: 4*6=24, Resulting Numbers: [32, 24]
Generated Node #3: [32, 24] from Operation: 4*6=24
Current State: 56:[32, 24], Operations: ['53-47=6', '4*6=24']
Exploring Operation: 32+24=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
8,
92,
18,
94
] | 22 | [
"94-92=2",
"8/2=4",
"18+4=22"
] | Current State: 22:[8, 92, 18, 94], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [8, 18, 2]
Generated Node #2: [8, 18, 2] from Operation: 94-92=2
Current State: 22:[8, 18, 2], Operations: ['94-92=2']
Exploring Operation: 8/2=4, Resulting Numbers: [18, 4]
Generated Node #3: [18, 4] from Operation: 8/2=4
Current State: 22:[18, 4], Operations: ['94-92=2', '8/2=4']
Exploring Operation: 18+4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
51,
39,
76,
54
] | 68 | [
"51+39=90",
"76-54=22",
"90-22=68"
] | Current State: 68:[51, 39, 76, 54], Operations: []
Exploring Operation: 51+39=90, Resulting Numbers: [76, 54, 90]
Generated Node #2: [76, 54, 90] from Operation: 51+39=90
Current State: 68:[76, 54, 90], Operations: ['51+39=90']
Exploring Operation: 76-54=22, Resulting Numbers: [90, 22]
Generated Node #3: [90, 22] from Operation: 76-54=22
Current State: 68:[90, 22], Operations: ['51+39=90', '76-54=22']
Exploring Operation: 90-22=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
83,
11,
49,
60
] | 48 | [
"83+49=132",
"132/11=12",
"60-12=48"
] | Current State: 48:[83, 11, 49, 60], Operations: []
Exploring Operation: 83+49=132, Resulting Numbers: [11, 60, 132]
Generated Node #2: [11, 60, 132] from Operation: 83+49=132
Current State: 48:[11, 60, 132], Operations: ['83+49=132']
Exploring Operation: 132/11=12, Resulting Numbers: [60, 12]
Generated Node #3: [60, 12] from Operation: 132/11=12
Current State: 48:[60, 12], Operations: ['83+49=132', '132/11=12']
Exploring Operation: 60-12=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
51,
59,
20,
38
] | 66 | [
"59-51=8",
"20+38=58",
"8+58=66"
] | Current State: 66:[51, 59, 20, 38], Operations: []
Exploring Operation: 59-51=8, Resulting Numbers: [20, 38, 8]
Generated Node #2: [20, 38, 8] from Operation: 59-51=8
Current State: 66:[20, 38, 8], Operations: ['59-51=8']
Exploring Operation: 20+38=58, Resulting Numbers: [8, 58]
Generated Node #3: [8, 58] from Operation: 20+38=58
Current State: 66:[8, 58], Operations: ['59-51=8', '20+38=58']
Exploring Operation: 8+58=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
20,
29,
43,
25
] | 67 | [
"20+29=49",
"43-25=18",
"49+18=67"
] | Current State: 67:[20, 29, 43, 25], Operations: []
Exploring Operation: 20+29=49, Resulting Numbers: [43, 25, 49]
Generated Node #2: [43, 25, 49] from Operation: 20+29=49
Current State: 67:[43, 25, 49], Operations: ['20+29=49']
Exploring Operation: 43-25=18, Resulting Numbers: [49, 18]
Generated Node #3: [49, 18] from Operation: 43-25=18
Current State: 67:[49, 18], Operations: ['20+29=49', '43-25=18']
Exploring Operation: 49+18=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
7,
37,
1,
64
] | 94 | [
"37-7=30",
"1*64=64",
"30+64=94"
] | Current State: 94:[7, 37, 1, 64], Operations: []
Exploring Operation: 37-7=30, Resulting Numbers: [1, 64, 30]
Generated Node #2: [1, 64, 30] from Operation: 37-7=30
Current State: 94:[1, 64, 30], Operations: ['37-7=30']
Exploring Operation: 1*64=64, Resulting Numbers: [30, 64]
Generated Node #3: [30, 64] from Operation: 1*64=64
Current State: 94:[30, 64], Operations: ['37-7=30', '1*64=64']
Exploring Operation: 30+64=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
69,
52,
71,
98
] | 94 | [
"69+52=121",
"98-71=27",
"121-27=94"
] | Current State: 94:[69, 52, 71, 98], Operations: []
Exploring Operation: 69+52=121, Resulting Numbers: [71, 98, 121]
Generated Node #2: [71, 98, 121] from Operation: 69+52=121
Current State: 94:[71, 98, 121], Operations: ['69+52=121']
Exploring Operation: 98-71=27, Resulting Numbers: [121, 27]
Generated Node #3: [121, 27] from Operation: 98-71=27
Current State: 94:[121, 27], Operations: ['69+52=121', '98-71=27']
Exploring Operation: 121-27=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
60,
45,
64,
5
] | 61 | [
"60-45=15",
"15/5=3",
"64-3=61"
] | Current State: 61:[60, 45, 64, 5], Operations: []
Exploring Operation: 60-45=15, Resulting Numbers: [64, 5, 15]
Generated Node #2: [64, 5, 15] from Operation: 60-45=15
Current State: 61:[64, 5, 15], Operations: ['60-45=15']
Exploring Operation: 15/5=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 15/5=3
Current State: 61:[64, 3], Operations: ['60-45=15', '15/5=3']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
26,
76,
50,
86
] | 87 | [
"76-26=50",
"50/50=1",
"86+1=87"
] | Current State: 87:[26, 76, 50, 86], Operations: []
Exploring Operation: 76-26=50, Resulting Numbers: [50, 86, 50]
Generated Node #2: [50, 86, 50] from Operation: 76-26=50
Current State: 87:[50, 86, 50], Operations: ['76-26=50']
Exploring Operation: 50/50=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 50/50=1
Current State: 87:[86, 1], Operations: ['76-26=50', '50/50=1']
Exploring Operation: 86+1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
60,
5,
59,
66
] | 89 | [
"66-60=6",
"5*6=30",
"59+30=89"
] | Current State: 89:[60, 5, 59, 66], Operations: []
Exploring Operation: 66-60=6, Resulting Numbers: [5, 59, 6]
Generated Node #2: [5, 59, 6] from Operation: 66-60=6
Current State: 89:[5, 59, 6], Operations: ['66-60=6']
Exploring Operation: 5*6=30, Resulting Numbers: [59, 30]
Generated Node #3: [59, 30] from Operation: 5*6=30
Current State: 89:[59, 30], Operations: ['66-60=6', '5*6=30']
Exploring Operation: 59+30=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
41,
18,
86,
92
] | 67 | [
"92-86=6",
"18*6=108",
"108-41=67"
] | Current State: 67:[41, 18, 86, 92], Operations: []
Exploring Operation: 92-86=6, Resulting Numbers: [41, 18, 6]
Generated Node #2: [41, 18, 6] from Operation: 92-86=6
Current State: 67:[41, 18, 6], Operations: ['92-86=6']
Exploring Operation: 18*6=108, Resulting Numbers: [41, 108]
Generated Node #3: [41, 108] from Operation: 18*6=108
Current State: 67:[41, 108], Operations: ['92-86=6', '18*6=108']
Exploring Operation: 108-41=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
26,
90,
56,
20
] | 61 | [
"26*90=2340",
"2340/20=117",
"117-56=61"
] | Current State: 61:[26, 90, 56, 20], Operations: []
Exploring Operation: 26*90=2340, Resulting Numbers: [56, 20, 2340]
Generated Node #2: [56, 20, 2340] from Operation: 26*90=2340
Current State: 61:[56, 20, 2340], Operations: ['26*90=2340']
Exploring Operation: 2340/20=117, Resulting Numbers: [56, 117]
Generated Node #3: [56, 117] from Operation: 2340/20=117
Current State: 61:[56, 117], Operations: ['26*90=2340', '2340/20=117']
Exploring Operation: 117-56=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
61,
27,
33,
36
] | 52 | [
"36-33=3",
"27/3=9",
"61-9=52"
] | Current State: 52:[61, 27, 33, 36], Operations: []
Exploring Operation: 36-33=3, Resulting Numbers: [61, 27, 3]
Generated Node #2: [61, 27, 3] from Operation: 36-33=3
Current State: 52:[61, 27, 3], Operations: ['36-33=3']
Exploring Operation: 27/3=9, Resulting Numbers: [61, 9]
Generated Node #3: [61, 9] from Operation: 27/3=9
Current State: 52:[61, 9], Operations: ['36-33=3', '27/3=9']
Exploring Operation: 61-9=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
54,
55,
21,
64
] | 15 | [
"64-55=9",
"54/9=6",
"21-6=15"
] | Current State: 15:[54, 55, 21, 64], Operations: []
Exploring Operation: 64-55=9, Resulting Numbers: [54, 21, 9]
Generated Node #2: [54, 21, 9] from Operation: 64-55=9
Current State: 15:[54, 21, 9], Operations: ['64-55=9']
Exploring Operation: 54/9=6, Resulting Numbers: [21, 6]
Generated Node #3: [21, 6] from Operation: 54/9=6
Current State: 15:[21, 6], Operations: ['64-55=9', '54/9=6']
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
93,
74,
74,
45
] | 47 | [
"93-45=48",
"74/74=1",
"48-1=47"
] | Current State: 47:[93, 74, 74, 45], Operations: []
Exploring Operation: 93-45=48, Resulting Numbers: [74, 74, 48]
Generated Node #2: [74, 74, 48] from Operation: 93-45=48
Current State: 47:[74, 74, 48], Operations: ['93-45=48']
Exploring Operation: 74/74=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 74/74=1
Current State: 47:[48, 1], Operations: ['93-45=48', '74/74=1']
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
12,
8,
47,
89
] | 29 | [
"47+89=136",
"136/8=17",
"12+17=29"
] | Current State: 29:[12, 8, 47, 89], Operations: []
Exploring Operation: 47+89=136, Resulting Numbers: [12, 8, 136]
Generated Node #2: [12, 8, 136] from Operation: 47+89=136
Current State: 29:[12, 8, 136], Operations: ['47+89=136']
Exploring Operation: 136/8=17, Resulting Numbers: [12, 17]
Generated Node #3: [12, 17] from Operation: 136/8=17
Current State: 29:[12, 17], Operations: ['47+89=136', '136/8=17']
Exploring Operation: 12+17=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
73,
17,
14,
3
] | 48 | [
"73+17=90",
"14*3=42",
"90-42=48"
] | Current State: 48:[73, 17, 14, 3], Operations: []
Exploring Operation: 73+17=90, Resulting Numbers: [14, 3, 90]
Generated Node #2: [14, 3, 90] from Operation: 73+17=90
Current State: 48:[14, 3, 90], Operations: ['73+17=90']
Exploring Operation: 14*3=42, Resulting Numbers: [90, 42]
Generated Node #3: [90, 42] from Operation: 14*3=42
Current State: 48:[90, 42], Operations: ['73+17=90', '14*3=42']
Exploring Operation: 90-42=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
21,
1,
83,
24
] | 81 | [
"21+1=22",
"83-24=59",
"22+59=81"
] | Current State: 81:[21, 1, 83, 24], Operations: []
Exploring Operation: 21+1=22, Resulting Numbers: [83, 24, 22]
Generated Node #2: [83, 24, 22] from Operation: 21+1=22
Current State: 81:[83, 24, 22], Operations: ['21+1=22']
Exploring Operation: 83-24=59, Resulting Numbers: [22, 59]
Generated Node #3: [22, 59] from Operation: 83-24=59
Current State: 81:[22, 59], Operations: ['21+1=22', '83-24=59']
Exploring Operation: 22+59=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
27,
30,
88,
9
] | 40 | [
"27+30=57",
"88+9=97",
"97-57=40"
] | Current State: 40:[27, 30, 88, 9], Operations: []
Exploring Operation: 27+30=57, Resulting Numbers: [88, 9, 57]
Generated Node #2: [88, 9, 57] from Operation: 27+30=57
Current State: 40:[88, 9, 57], Operations: ['27+30=57']
Exploring Operation: 88+9=97, Resulting Numbers: [57, 97]
Generated Node #3: [57, 97] from Operation: 88+9=97
Current State: 40:[57, 97], Operations: ['27+30=57', '88+9=97']
Exploring Operation: 97-57=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
77,
74,
15,
17
] | 89 | [
"74*17=1258",
"77+1258=1335",
"1335/15=89"
] | Current State: 89:[77, 74, 15, 17], Operations: []
Exploring Operation: 74*17=1258, Resulting Numbers: [77, 15, 1258]
Generated Node #2: [77, 15, 1258] from Operation: 74*17=1258
Current State: 89:[77, 15, 1258], Operations: ['74*17=1258']
Exploring Operation: 77+1258=1335, Resulting Numbers: [15, 1335]
Generated Node #3: [15, 1335] from Operation: 77+1258=1335
Current State: 89:[15, 1335], Operations: ['74*17=1258', '77+1258=1335']
Exploring Operation: 1335/15=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
23,
51,
28,
40
] | 16 | [
"51-23=28",
"40-28=12",
"28-12=16"
] | Current State: 16:[23, 51, 28, 40], Operations: []
Exploring Operation: 51-23=28, Resulting Numbers: [28, 40, 28]
Generated Node #2: [28, 40, 28] from Operation: 51-23=28
Current State: 16:[28, 40, 28], Operations: ['51-23=28']
Exploring Operation: 40-28=12, Resulting Numbers: [12]
12,16 equal: Goal Reached
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
96,
88,
48,
42
] | 48 | [
"96-88=8",
"48-42=6",
"8*6=48"
] | Current State: 48:[96, 88, 48, 42], Operations: []
Exploring Operation: 96-88=8, Resulting Numbers: [48, 42, 8]
Generated Node #2: [48, 42, 8] from Operation: 96-88=8
Current State: 48:[48, 42, 8], Operations: ['96-88=8']
Exploring Operation: 48-42=6, Resulting Numbers: [8, 6]
Generated Node #3: [8, 6] from Operation: 48-42=6
Current State: 48:[8, 6], Operations: ['96-88=8', '48-42=6']
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
20,
77,
55,
44
] | 23 | [
"77+55=132",
"132/44=3",
"20+3=23"
] | Current State: 23:[20, 77, 55, 44], Operations: []
Exploring Operation: 77+55=132, Resulting Numbers: [20, 44, 132]
Generated Node #2: [20, 44, 132] from Operation: 77+55=132
Current State: 23:[20, 44, 132], Operations: ['77+55=132']
Exploring Operation: 132/44=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 132/44=3
Current State: 23:[20, 3], Operations: ['77+55=132', '132/44=3']
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
37,
19,
74,
60
] | 98 | [
"74/37=2",
"19*2=38",
"60+38=98"
] | Current State: 98:[37, 19, 74, 60], Operations: []
Exploring Operation: 74/37=2, Resulting Numbers: [19, 60, 2]
Generated Node #2: [19, 60, 2] from Operation: 74/37=2
Current State: 98:[19, 60, 2], Operations: ['74/37=2']
Exploring Operation: 19*2=38, Resulting Numbers: [60, 38]
Generated Node #3: [60, 38] from Operation: 19*2=38
Current State: 98:[60, 38], Operations: ['74/37=2', '19*2=38']
Exploring Operation: 60+38=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
37,
63,
77,
4
] | 19 | [
"37+63=100",
"77+4=81",
"100-81=19"
] | Current State: 19:[37, 63, 77, 4], Operations: []
Exploring Operation: 37+63=100, Resulting Numbers: [77, 4, 100]
Generated Node #2: [77, 4, 100] from Operation: 37+63=100
Current State: 19:[77, 4, 100], Operations: ['37+63=100']
Exploring Operation: 77+4=81, Resulting Numbers: [100, 81]
Generated Node #3: [100, 81] from Operation: 77+4=81
Current State: 19:[100, 81], Operations: ['37+63=100', '77+4=81']
Exploring Operation: 100-81=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
50,
11,
23,
13
] | 70 | [
"50+23=73",
"11*13=143",
"143-73=70"
] | Current State: 70:[50, 11, 23, 13], Operations: []
Exploring Operation: 50+23=73, Resulting Numbers: [11, 13, 73]
Generated Node #2: [11, 13, 73] from Operation: 50+23=73
Current State: 70:[11, 13, 73], Operations: ['50+23=73']
Exploring Operation: 11*13=143, Resulting Numbers: [73, 143]
Generated Node #3: [73, 143] from Operation: 11*13=143
Current State: 70:[73, 143], Operations: ['50+23=73', '11*13=143']
Exploring Operation: 143-73=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
31,
13,
81,
27
] | 29 | [
"31-27=4",
"13*4=52",
"81-52=29"
] | Current State: 29:[31, 13, 81, 27], Operations: []
Exploring Operation: 31-27=4, Resulting Numbers: [13, 81, 4]
Generated Node #2: [13, 81, 4] from Operation: 31-27=4
Current State: 29:[13, 81, 4], Operations: ['31-27=4']
Exploring Operation: 13*4=52, Resulting Numbers: [81, 52]
Generated Node #3: [81, 52] from Operation: 13*4=52
Current State: 29:[81, 52], Operations: ['31-27=4', '13*4=52']
Exploring Operation: 81-52=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
40,
6,
1,
35
] | 25 | [
"40-35=5",
"6-1=5",
"5*5=25"
] | Current State: 25:[40, 6, 1, 35], Operations: []
Exploring Operation: 40-35=5, Resulting Numbers: [6, 1, 5]
Generated Node #2: [6, 1, 5] from Operation: 40-35=5
Current State: 25:[6, 1, 5], Operations: ['40-35=5']
Exploring Operation: 6-1=5, Resulting Numbers: [5, 5]
Generated Node #3: [5, 5] from Operation: 6-1=5
Current State: 25:[5, 5], Operations: ['40-35=5', '6-1=5']
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
11,
53,
39,
6
] | 97 | [
"11+53=64",
"39-6=33",
"64+33=97"
] | Current State: 97:[11, 53, 39, 6], Operations: []
Exploring Operation: 11+53=64, Resulting Numbers: [39, 6, 64]
Generated Node #2: [39, 6, 64] from Operation: 11+53=64
Current State: 97:[39, 6, 64], Operations: ['11+53=64']
Exploring Operation: 39-6=33, Resulting Numbers: [64, 33]
Generated Node #3: [64, 33] from Operation: 39-6=33
Current State: 97:[64, 33], Operations: ['11+53=64', '39-6=33']
Exploring Operation: 64+33=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
32,
63,
4,
6
] | 69 | [
"32+4=36",
"36/6=6",
"63+6=69"
] | Current State: 69:[32, 63, 4, 6], Operations: []
Exploring Operation: 32+4=36, Resulting Numbers: [63, 6, 36]
Generated Node #2: [63, 6, 36] from Operation: 32+4=36
Current State: 69:[63, 6, 36], Operations: ['32+4=36']
Exploring Operation: 36/6=6, Resulting Numbers: [63, 6]
Generated Node #3: [63, 6] from Operation: 36/6=6
Current State: 69:[63, 6], Operations: ['32+4=36', '36/6=6']
Exploring Operation: 63+6=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
81,
88,
80,
24
] | 27 | [
"88-80=8",
"81*8=648",
"648/24=27"
] | Current State: 27:[81, 88, 80, 24], Operations: []
Exploring Operation: 88-80=8, Resulting Numbers: [81, 24, 8]
Generated Node #2: [81, 24, 8] from Operation: 88-80=8
Current State: 27:[81, 24, 8], Operations: ['88-80=8']
Exploring Operation: 81*8=648, Resulting Numbers: [24, 648]
Generated Node #3: [24, 648] from Operation: 81*8=648
Current State: 27:[24, 648], Operations: ['88-80=8', '81*8=648']
Exploring Operation: 648/24=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
86,
9,
81,
84
] | 11 | [
"86-84=2",
"81/9=9",
"2+9=11"
] | Current State: 11:[86, 9, 81, 84], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [9, 81, 2]
Generated Node #2: [9, 81, 2] from Operation: 86-84=2
Current State: 11:[9, 81, 2], Operations: ['86-84=2']
Exploring Operation: 81/9=9, Resulting Numbers: [2, 9]
Generated Node #3: [2, 9] from Operation: 81/9=9
Current State: 11:[2, 9], Operations: ['86-84=2', '81/9=9']
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
74,
50,
2,
20
] | 59 | [
"50-20=30",
"30/2=15",
"74-15=59"
] | Current State: 59:[74, 50, 2, 20], Operations: []
Exploring Operation: 50-20=30, Resulting Numbers: [74, 2, 30]
Generated Node #2: [74, 2, 30] from Operation: 50-20=30
Current State: 59:[74, 2, 30], Operations: ['50-20=30']
Exploring Operation: 30/2=15, Resulting Numbers: [74, 15]
Generated Node #3: [74, 15] from Operation: 30/2=15
Current State: 59:[74, 15], Operations: ['50-20=30', '30/2=15']
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
83,
44,
10,
62
] | 97 | [
"62-44=18",
"10*18=180",
"180-83=97"
] | Current State: 97:[83, 44, 10, 62], Operations: []
Exploring Operation: 62-44=18, Resulting Numbers: [83, 10, 18]
Generated Node #2: [83, 10, 18] from Operation: 62-44=18
Current State: 97:[83, 10, 18], Operations: ['62-44=18']
Exploring Operation: 10*18=180, Resulting Numbers: [83, 180]
Generated Node #3: [83, 180] from Operation: 10*18=180
Current State: 97:[83, 180], Operations: ['62-44=18', '10*18=180']
Exploring Operation: 180-83=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
19,
32,
97,
26
] | 29 | [
"97-19=78",
"78/26=3",
"32-3=29"
] | Current State: 29:[19, 32, 97, 26], Operations: []
Exploring Operation: 97-19=78, Resulting Numbers: [32, 26, 78]
Generated Node #2: [32, 26, 78] from Operation: 97-19=78
Current State: 29:[32, 26, 78], Operations: ['97-19=78']
Exploring Operation: 78/26=3, Resulting Numbers: [32, 3]
Generated Node #3: [32, 3] from Operation: 78/26=3
Current State: 29:[32, 3], Operations: ['97-19=78', '78/26=3']
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
48,
7,
7,
2
] | 17 | [
"48-7=41",
"41-7=34",
"34/2=17"
] | Current State: 17:[48, 7, 7, 2], Operations: []
Exploring Operation: 48-7=41, Resulting Numbers: [2, 41]
Generated Node #2: [2, 41] from Operation: 48-7=41
Current State: 17:[2, 41], Operations: ['48-7=41']
Exploring Operation: 41-7=34, Resulting Numbers: [2, 34]
Generated Node #3: [2, 34] from Operation: 41-7=34
Current State: 17:[2, 34], Operations: ['48-7=41', '41-7=34']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
54,
55,
25,
9
] | 17 | [
"55-54=1",
"25-9=16",
"1+16=17"
] | Current State: 17:[54, 55, 25, 9], Operations: []
Exploring Operation: 55-54=1, Resulting Numbers: [25, 9, 1]
Generated Node #2: [25, 9, 1] from Operation: 55-54=1
Current State: 17:[25, 9, 1], Operations: ['55-54=1']
Exploring Operation: 25-9=16, Resulting Numbers: [1, 16]
Generated Node #3: [1, 16] from Operation: 25-9=16
Current State: 17:[1, 16], Operations: ['55-54=1', '25-9=16']
Exploring Operation: 1+16=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
29,
99,
29,
74
] | 83 | [
"29+99=128",
"74-29=45",
"128-45=83"
] | Current State: 83:[29, 99, 29, 74], Operations: []
Exploring Operation: 29+99=128, Resulting Numbers: [74, 128]
Generated Node #2: [74, 128] from Operation: 29+99=128
Current State: 83:[74, 128], Operations: ['29+99=128']
Exploring Operation: 74-29=45, Resulting Numbers: [128, 45]
Generated Node #3: [128, 45] from Operation: 74-29=45
Current State: 83:[128, 45], Operations: ['29+99=128', '74-29=45']
Exploring Operation: 128-45=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
8,
92,
45,
2
] | 43 | [
"8/2=4",
"92-45=47",
"47-4=43"
] | Current State: 43:[8, 92, 45, 2], Operations: []
Exploring Operation: 8/2=4, Resulting Numbers: [92, 45, 4]
Generated Node #2: [92, 45, 4] from Operation: 8/2=4
Current State: 43:[92, 45, 4], Operations: ['8/2=4']
Exploring Operation: 92-45=47, Resulting Numbers: [4, 47]
Generated Node #3: [4, 47] from Operation: 92-45=47
Current State: 43:[4, 47], Operations: ['8/2=4', '92-45=47']
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
69,
50,
48,
75
] | 14 | [
"69-48=21",
"50*21=1050",
"1050/75=14"
] | Current State: 14:[69, 50, 48, 75], Operations: []
Exploring Operation: 69-48=21, Resulting Numbers: [50, 75, 21]
Generated Node #2: [50, 75, 21] from Operation: 69-48=21
Current State: 14:[50, 75, 21], Operations: ['69-48=21']
Exploring Operation: 50*21=1050, Resulting Numbers: [75, 1050]
Generated Node #3: [75, 1050] from Operation: 50*21=1050
Current State: 14:[75, 1050], Operations: ['69-48=21', '50*21=1050']
Exploring Operation: 1050/75=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
52,
43,
54,
51
] | 96 | [
"52-43=9",
"54+51=105",
"105-9=96"
] | Current State: 96:[52, 43, 54, 51], Operations: []
Exploring Operation: 52-43=9, Resulting Numbers: [54, 51, 9]
Generated Node #2: [54, 51, 9] from Operation: 52-43=9
Current State: 96:[54, 51, 9], Operations: ['52-43=9']
Exploring Operation: 54+51=105, Resulting Numbers: [9, 105]
Generated Node #3: [9, 105] from Operation: 54+51=105
Current State: 96:[9, 105], Operations: ['52-43=9', '54+51=105']
Exploring Operation: 105-9=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
33,
19,
18,
61
] | 57 | [
"33-19=14",
"61-18=43",
"14+43=57"
] | Current State: 57:[33, 19, 18, 61], Operations: []
Exploring Operation: 33-19=14, Resulting Numbers: [18, 61, 14]
Generated Node #2: [18, 61, 14] from Operation: 33-19=14
Current State: 57:[18, 61, 14], Operations: ['33-19=14']
Exploring Operation: 61-18=43, Resulting Numbers: [14, 43]
Generated Node #3: [14, 43] from Operation: 61-18=43
Current State: 57:[14, 43], Operations: ['33-19=14', '61-18=43']
Exploring Operation: 14+43=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
8,
48,
50,
69
] | 37 | [
"8+48=56",
"69-50=19",
"56-19=37"
] | Current State: 37:[8, 48, 50, 69], Operations: []
Exploring Operation: 8+48=56, Resulting Numbers: [50, 69, 56]
Generated Node #2: [50, 69, 56] from Operation: 8+48=56
Current State: 37:[50, 69, 56], Operations: ['8+48=56']
Exploring Operation: 69-50=19, Resulting Numbers: [56, 19]
Generated Node #3: [56, 19] from Operation: 69-50=19
Current State: 37:[56, 19], Operations: ['8+48=56', '69-50=19']
Exploring Operation: 56-19=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
30,
86,
10,
94
] | 16 | [
"86+94=180",
"180/30=6",
"10+6=16"
] | Current State: 16:[30, 86, 10, 94], Operations: []
Exploring Operation: 86+94=180, Resulting Numbers: [30, 10, 180]
Generated Node #2: [30, 10, 180] from Operation: 86+94=180
Current State: 16:[30, 10, 180], Operations: ['86+94=180']
Exploring Operation: 180/30=6, Resulting Numbers: [10, 6]
Generated Node #3: [10, 6] from Operation: 180/30=6
Current State: 16:[10, 6], Operations: ['86+94=180', '180/30=6']
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
23,
67,
73,
5
] | 23 | [
"73-67=6",
"6-5=1",
"23*1=23"
] | Current State: 23:[23, 67, 73, 5], Operations: []
Exploring Operation: 73-67=6, Resulting Numbers: [23, 5, 6]
Generated Node #2: [23, 5, 6] from Operation: 73-67=6
Current State: 23:[23, 5, 6], Operations: ['73-67=6']
Exploring Operation: 6-5=1, Resulting Numbers: [23, 1]
Generated Node #3: [23, 1] from Operation: 6-5=1
Current State: 23:[23, 1], Operations: ['73-67=6', '6-5=1']
Exploring Operation: 23*1=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
27,
37,
47,
7
] | 97 | [
"47-37=10",
"7*10=70",
"27+70=97"
] | Current State: 97:[27, 37, 47, 7], Operations: []
Exploring Operation: 47-37=10, Resulting Numbers: [27, 7, 10]
Generated Node #2: [27, 7, 10] from Operation: 47-37=10
Current State: 97:[27, 7, 10], Operations: ['47-37=10']
Exploring Operation: 7*10=70, Resulting Numbers: [27, 70]
Generated Node #3: [27, 70] from Operation: 7*10=70
Current State: 97:[27, 70], Operations: ['47-37=10', '7*10=70']
Exploring Operation: 27+70=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
67,
65,
47,
42
] | 52 | [
"67-65=2",
"47*2=94",
"94-42=52"
] | Current State: 52:[67, 65, 47, 42], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [47, 42, 2]
Generated Node #2: [47, 42, 2] from Operation: 67-65=2
Current State: 52:[47, 42, 2], Operations: ['67-65=2']
Exploring Operation: 47*2=94, Resulting Numbers: [42, 94]
Generated Node #3: [42, 94] from Operation: 47*2=94
Current State: 52:[42, 94], Operations: ['67-65=2', '47*2=94']
Exploring Operation: 94-42=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
62,
2,
84,
41
] | 32 | [
"62+84=146",
"146/2=73",
"73-41=32"
] | Current State: 32:[62, 2, 84, 41], Operations: []
Exploring Operation: 62+84=146, Resulting Numbers: [2, 41, 146]
Generated Node #2: [2, 41, 146] from Operation: 62+84=146
Current State: 32:[2, 41, 146], Operations: ['62+84=146']
Exploring Operation: 146/2=73, Resulting Numbers: [41, 73]
Generated Node #3: [41, 73] from Operation: 146/2=73
Current State: 32:[41, 73], Operations: ['62+84=146', '146/2=73']
Exploring Operation: 73-41=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
72,
84,
85,
14
] | 85 | [
"72+84=156",
"85-14=71",
"156-71=85"
] | Current State: 85:[72, 84, 85, 14], Operations: []
Exploring Operation: 72+84=156, Resulting Numbers: [85, 14, 156]
Generated Node #2: [85, 14, 156] from Operation: 72+84=156
Current State: 85:[85, 14, 156], Operations: ['72+84=156']
Exploring Operation: 85-14=71, Resulting Numbers: [156, 71]
Generated Node #3: [156, 71] from Operation: 85-14=71
Current State: 85:[156, 71], Operations: ['72+84=156', '85-14=71']
Exploring Operation: 156-71=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
5,
53,
32,
42
] | 59 | [
"53+32=85",
"85/5=17",
"42+17=59"
] | Current State: 59:[5, 53, 32, 42], Operations: []
Exploring Operation: 53+32=85, Resulting Numbers: [5, 42, 85]
Generated Node #2: [5, 42, 85] from Operation: 53+32=85
Current State: 59:[5, 42, 85], Operations: ['53+32=85']
Exploring Operation: 85/5=17, Resulting Numbers: [42, 17]
Generated Node #3: [42, 17] from Operation: 85/5=17
Current State: 59:[42, 17], Operations: ['53+32=85', '85/5=17']
Exploring Operation: 42+17=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
20,
39,
32,
72
] | 54 | [
"20+32=52",
"39*72=2808",
"2808/52=54"
] | Current State: 54:[20, 39, 32, 72], Operations: []
Exploring Operation: 20+32=52, Resulting Numbers: [39, 72, 52]
Generated Node #2: [39, 72, 52] from Operation: 20+32=52
Current State: 54:[39, 72, 52], Operations: ['20+32=52']
Exploring Operation: 39*72=2808, Resulting Numbers: [52, 2808]
Generated Node #3: [52, 2808] from Operation: 39*72=2808
Current State: 54:[52, 2808], Operations: ['20+32=52', '39*72=2808']
Exploring Operation: 2808/52=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
54,
13,
21,
4
] | 23 | [
"54+21=75",
"13*4=52",
"75-52=23"
] | Current State: 23:[54, 13, 21, 4], Operations: []
Exploring Operation: 54+21=75, Resulting Numbers: [13, 4, 75]
Generated Node #2: [13, 4, 75] from Operation: 54+21=75
Current State: 23:[13, 4, 75], Operations: ['54+21=75']
Exploring Operation: 13*4=52, Resulting Numbers: [75, 52]
Generated Node #3: [75, 52] from Operation: 13*4=52
Current State: 23:[75, 52], Operations: ['54+21=75', '13*4=52']
Exploring Operation: 75-52=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
41,
55,
98,
52
] | 25 | [
"55-52=3",
"41*3=123",
"123-98=25"
] | Current State: 25:[41, 55, 98, 52], Operations: []
Exploring Operation: 55-52=3, Resulting Numbers: [41, 98, 3]
Generated Node #2: [41, 98, 3] from Operation: 55-52=3
Current State: 25:[41, 98, 3], Operations: ['55-52=3']
Exploring Operation: 41*3=123, Resulting Numbers: [98, 123]
Generated Node #3: [98, 123] from Operation: 41*3=123
Current State: 25:[98, 123], Operations: ['55-52=3', '41*3=123']
Exploring Operation: 123-98=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
28,
22,
36,
61
] | 84 | [
"22+36=58",
"61-58=3",
"28*3=84"
] | Current State: 84:[28, 22, 36, 61], Operations: []
Exploring Operation: 22+36=58, Resulting Numbers: [28, 61, 58]
Generated Node #2: [28, 61, 58] from Operation: 22+36=58
Current State: 84:[28, 61, 58], Operations: ['22+36=58']
Exploring Operation: 61-58=3, Resulting Numbers: [28, 3]
Generated Node #3: [28, 3] from Operation: 61-58=3
Current State: 84:[28, 3], Operations: ['22+36=58', '61-58=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
94,
69,
52,
78
] | 33 | [
"94+69=163",
"52+78=130",
"163-130=33"
] | Current State: 33:[94, 69, 52, 78], Operations: []
Exploring Operation: 94+69=163, Resulting Numbers: [52, 78, 163]
Generated Node #2: [52, 78, 163] from Operation: 94+69=163
Current State: 33:[52, 78, 163], Operations: ['94+69=163']
Exploring Operation: 52+78=130, Resulting Numbers: [163, 130]
Generated Node #3: [163, 130] from Operation: 52+78=130
Current State: 33:[163, 130], Operations: ['94+69=163', '52+78=130']
Exploring Operation: 163-130=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
37,
7,
21,
46
] | 64 | [
"37+46=83",
"7*21=147",
"147-83=64"
] | Current State: 64:[37, 7, 21, 46], Operations: []
Exploring Operation: 37+46=83, Resulting Numbers: [7, 21, 83]
Generated Node #2: [7, 21, 83] from Operation: 37+46=83
Current State: 64:[7, 21, 83], Operations: ['37+46=83']
Exploring Operation: 7*21=147, Resulting Numbers: [83, 147]
Generated Node #3: [83, 147] from Operation: 7*21=147
Current State: 64:[83, 147], Operations: ['37+46=83', '7*21=147']
Exploring Operation: 147-83=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
2,
82,
31,
34
] | 19 | [
"2+82=84",
"31+34=65",
"84-65=19"
] | Current State: 19:[2, 82, 31, 34], Operations: []
Exploring Operation: 2+82=84, Resulting Numbers: [31, 34, 84]
Generated Node #2: [31, 34, 84] from Operation: 2+82=84
Current State: 19:[31, 34, 84], Operations: ['2+82=84']
Exploring Operation: 31+34=65, Resulting Numbers: [84, 65]
Generated Node #3: [84, 65] from Operation: 31+34=65
Current State: 19:[84, 65], Operations: ['2+82=84', '31+34=65']
Exploring Operation: 84-65=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
27,
32,
96,
19
] | 30 | [
"96/32=3",
"19*3=57",
"57-27=30"
] | Current State: 30:[27, 32, 96, 19], Operations: []
Exploring Operation: 96/32=3, Resulting Numbers: [27, 19, 3]
Generated Node #2: [27, 19, 3] from Operation: 96/32=3
Current State: 30:[27, 19, 3], Operations: ['96/32=3']
Exploring Operation: 19*3=57, Resulting Numbers: [27, 57]
Generated Node #3: [27, 57] from Operation: 19*3=57
Current State: 30:[27, 57], Operations: ['96/32=3', '19*3=57']
Exploring Operation: 57-27=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
16,
17,
24,
66
] | 89 | [
"17-16=1",
"24+66=90",
"90-1=89"
] | Current State: 89:[16, 17, 24, 66], Operations: []
Exploring Operation: 17-16=1, Resulting Numbers: [24, 66, 1]
Generated Node #2: [24, 66, 1] from Operation: 17-16=1
Current State: 89:[24, 66, 1], Operations: ['17-16=1']
Exploring Operation: 24+66=90, Resulting Numbers: [1, 90]
Generated Node #3: [1, 90] from Operation: 24+66=90
Current State: 89:[1, 90], Operations: ['17-16=1', '24+66=90']
Exploring Operation: 90-1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
15,
59,
27,
3
] | 95 | [
"27-15=12",
"3*12=36",
"59+36=95"
] | Current State: 95:[15, 59, 27, 3], Operations: []
Exploring Operation: 27-15=12, Resulting Numbers: [59, 3, 12]
Generated Node #2: [59, 3, 12] from Operation: 27-15=12
Current State: 95:[59, 3, 12], Operations: ['27-15=12']
Exploring Operation: 3*12=36, Resulting Numbers: [59, 36]
Generated Node #3: [59, 36] from Operation: 3*12=36
Current State: 95:[59, 36], Operations: ['27-15=12', '3*12=36']
Exploring Operation: 59+36=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
93,
60,
65,
67
] | 99 | [
"93-60=33",
"65+67=132",
"132-33=99"
] | Current State: 99:[93, 60, 65, 67], Operations: []
Exploring Operation: 93-60=33, Resulting Numbers: [65, 67, 33]
Generated Node #2: [65, 67, 33] from Operation: 93-60=33
Current State: 99:[65, 67, 33], Operations: ['93-60=33']
Exploring Operation: 65+67=132, Resulting Numbers: [33, 132]
Generated Node #3: [33, 132] from Operation: 65+67=132
Current State: 99:[33, 132], Operations: ['93-60=33', '65+67=132']
Exploring Operation: 132-33=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
70,
17,
42,
85
] | 44 | [
"70+17=87",
"85-42=43",
"87-43=44"
] | Current State: 44:[70, 17, 42, 85], Operations: []
Exploring Operation: 70+17=87, Resulting Numbers: [42, 85, 87]
Generated Node #2: [42, 85, 87] from Operation: 70+17=87
Current State: 44:[42, 85, 87], Operations: ['70+17=87']
Exploring Operation: 85-42=43, Resulting Numbers: [87, 43]
Generated Node #3: [87, 43] from Operation: 85-42=43
Current State: 44:[87, 43], Operations: ['70+17=87', '85-42=43']
Exploring Operation: 87-43=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
32,
34,
45,
58
] | 17 | [
"32+58=90",
"34*45=1530",
"1530/90=17"
] | Current State: 17:[32, 34, 45, 58], Operations: []
Exploring Operation: 32+58=90, Resulting Numbers: [34, 45, 90]
Generated Node #2: [34, 45, 90] from Operation: 32+58=90
Current State: 17:[34, 45, 90], Operations: ['32+58=90']
Exploring Operation: 34*45=1530, Resulting Numbers: [90, 1530]
Generated Node #3: [90, 1530] from Operation: 34*45=1530
Current State: 17:[90, 1530], Operations: ['32+58=90', '34*45=1530']
Exploring Operation: 1530/90=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
73,
72,
36,
10
] | 46 | [
"73-72=1",
"36+10=46",
"1*46=46"
] | Current State: 46:[73, 72, 36, 10], Operations: []
Exploring Operation: 73-72=1, Resulting Numbers: [36, 10, 1]
Generated Node #2: [36, 10, 1] from Operation: 73-72=1
Current State: 46:[36, 10, 1], Operations: ['73-72=1']
Exploring Operation: 36+10=46, Resulting Numbers: [1, 46]
Generated Node #3: [1, 46] from Operation: 36+10=46
Current State: 46:[1, 46], Operations: ['73-72=1', '36+10=46']
Exploring Operation: 1*46=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
63,
96,
81,
87
] | 36 | [
"63*96=6048",
"81+87=168",
"6048/168=36"
] | Current State: 36:[63, 96, 81, 87], Operations: []
Exploring Operation: 63*96=6048, Resulting Numbers: [81, 87, 6048]
Generated Node #2: [81, 87, 6048] from Operation: 63*96=6048
Current State: 36:[81, 87, 6048], Operations: ['63*96=6048']
Exploring Operation: 81+87=168, Resulting Numbers: [6048, 168]
Generated Node #3: [6048, 168] from Operation: 81+87=168
Current State: 36:[6048, 168], Operations: ['63*96=6048', '81+87=168']
Exploring Operation: 6048/168=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
53,
77,
10,
35
] | 31 | [
"77*10=770",
"770/35=22",
"53-22=31"
] | Current State: 31:[53, 77, 10, 35], Operations: []
Exploring Operation: 77*10=770, Resulting Numbers: [53, 35, 770]
Generated Node #2: [53, 35, 770] from Operation: 77*10=770
Current State: 31:[53, 35, 770], Operations: ['77*10=770']
Exploring Operation: 770/35=22, Resulting Numbers: [53, 22]
Generated Node #3: [53, 22] from Operation: 770/35=22
Current State: 31:[53, 22], Operations: ['77*10=770', '770/35=22']
Exploring Operation: 53-22=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
72,
14,
48,
55
] | 51 | [
"72-14=58",
"55-48=7",
"58-7=51"
] | Current State: 51:[72, 14, 48, 55], Operations: []
Exploring Operation: 72-14=58, Resulting Numbers: [48, 55, 58]
Generated Node #2: [48, 55, 58] from Operation: 72-14=58
Current State: 51:[48, 55, 58], Operations: ['72-14=58']
Exploring Operation: 55-48=7, Resulting Numbers: [58, 7]
Generated Node #3: [58, 7] from Operation: 55-48=7
Current State: 51:[58, 7], Operations: ['72-14=58', '55-48=7']
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
3,
43,
91,
30
] | 21 | [
"43-3=40",
"91-30=61",
"61-40=21"
] | Current State: 21:[3, 43, 91, 30], Operations: []
Exploring Operation: 43-3=40, Resulting Numbers: [91, 30, 40]
Generated Node #2: [91, 30, 40] from Operation: 43-3=40
Current State: 21:[91, 30, 40], Operations: ['43-3=40']
Exploring Operation: 91-30=61, Resulting Numbers: [40, 61]
Generated Node #3: [40, 61] from Operation: 91-30=61
Current State: 21:[40, 61], Operations: ['43-3=40', '91-30=61']
Exploring Operation: 61-40=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
18,
69,
73,
41
] | 39 | [
"69*41=2829",
"18+2829=2847",
"2847/73=39"
] | Current State: 39:[18, 69, 73, 41], Operations: []
Exploring Operation: 69*41=2829, Resulting Numbers: [18, 73, 2829]
Generated Node #2: [18, 73, 2829] from Operation: 69*41=2829
Current State: 39:[18, 73, 2829], Operations: ['69*41=2829']
Exploring Operation: 18+2829=2847, Resulting Numbers: [73, 2847]
Generated Node #3: [73, 2847] from Operation: 18+2829=2847
Current State: 39:[73, 2847], Operations: ['69*41=2829', '18+2829=2847']
Exploring Operation: 2847/73=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
37,
31,
13,
17
] | 61 | [
"37-31=6",
"13*6=78",
"78-17=61"
] | Current State: 61:[37, 31, 13, 17], Operations: []
Exploring Operation: 37-31=6, Resulting Numbers: [13, 17, 6]
Generated Node #2: [13, 17, 6] from Operation: 37-31=6
Current State: 61:[13, 17, 6], Operations: ['37-31=6']
Exploring Operation: 13*6=78, Resulting Numbers: [17, 78]
Generated Node #3: [17, 78] from Operation: 13*6=78
Current State: 61:[17, 78], Operations: ['37-31=6', '13*6=78']
Exploring Operation: 78-17=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
28,
50,
47,
89
] | 39 | [
"28+89=117",
"50-47=3",
"117/3=39"
] | Current State: 39:[28, 50, 47, 89], Operations: []
Exploring Operation: 28+89=117, Resulting Numbers: [50, 47, 117]
Generated Node #2: [50, 47, 117] from Operation: 28+89=117
Current State: 39:[50, 47, 117], Operations: ['28+89=117']
Exploring Operation: 50-47=3, Resulting Numbers: [117, 3]
Generated Node #3: [117, 3] from Operation: 50-47=3
Current State: 39:[117, 3], Operations: ['28+89=117', '50-47=3']
Exploring Operation: 117/3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
29,
76,
71,
93
] | 83 | [
"29+76=105",
"93-71=22",
"105-22=83"
] | Current State: 83:[29, 76, 71, 93], Operations: []
Exploring Operation: 29+76=105, Resulting Numbers: [71, 93, 105]
Generated Node #2: [71, 93, 105] from Operation: 29+76=105
Current State: 83:[71, 93, 105], Operations: ['29+76=105']
Exploring Operation: 93-71=22, Resulting Numbers: [105, 22]
Generated Node #3: [105, 22] from Operation: 93-71=22
Current State: 83:[105, 22], Operations: ['29+76=105', '93-71=22']
Exploring Operation: 105-22=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
67,
63,
36,
31
] | 62 | [
"67-36=31",
"31/31=1",
"63-1=62"
] | Current State: 62:[67, 63, 36, 31], Operations: []
Exploring Operation: 67-36=31, Resulting Numbers: [63, 31, 31]
Generated Node #2: [63, 31, 31] from Operation: 67-36=31
Current State: 62:[63, 31, 31], Operations: ['67-36=31']
Exploring Operation: 31/31=1, Resulting Numbers: [63, 1]
Generated Node #3: [63, 1] from Operation: 31/31=1
Current State: 62:[63, 1], Operations: ['67-36=31', '31/31=1']
Exploring Operation: 63-1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
17,
23,
44,
90
] | 86 | [
"17+23=40",
"90-44=46",
"40+46=86"
] | Current State: 86:[17, 23, 44, 90], Operations: []
Exploring Operation: 17+23=40, Resulting Numbers: [44, 90, 40]
Generated Node #2: [44, 90, 40] from Operation: 17+23=40
Current State: 86:[44, 90, 40], Operations: ['17+23=40']
Exploring Operation: 90-44=46, Resulting Numbers: [40, 46]
Generated Node #3: [40, 46] from Operation: 90-44=46
Current State: 86:[40, 46], Operations: ['17+23=40', '90-44=46']
Exploring Operation: 40+46=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
20,
92,
22,
3
] | 46 | [
"20+92=112",
"22*3=66",
"112-66=46"
] | Current State: 46:[20, 92, 22, 3], Operations: []
Exploring Operation: 20+92=112, Resulting Numbers: [22, 3, 112]
Generated Node #2: [22, 3, 112] from Operation: 20+92=112
Current State: 46:[22, 3, 112], Operations: ['20+92=112']
Exploring Operation: 22*3=66, Resulting Numbers: [112, 66]
Generated Node #3: [112, 66] from Operation: 22*3=66
Current State: 46:[112, 66], Operations: ['20+92=112', '22*3=66']
Exploring Operation: 112-66=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
31,
50,
92,
2
] | 20 | [
"31*2=62",
"92-50=42",
"62-42=20"
] | Current State: 20:[31, 50, 92, 2], Operations: []
Exploring Operation: 31*2=62, Resulting Numbers: [50, 92, 62]
Generated Node #2: [50, 92, 62] from Operation: 31*2=62
Current State: 20:[50, 92, 62], Operations: ['31*2=62']
Exploring Operation: 92-50=42, Resulting Numbers: [62, 42]
Generated Node #3: [62, 42] from Operation: 92-50=42
Current State: 20:[62, 42], Operations: ['31*2=62', '92-50=42']
Exploring Operation: 62-42=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
34,
61,
29,
42
] | 84 | [
"61-34=27",
"29-27=2",
"42*2=84"
] | Current State: 84:[34, 61, 29, 42], Operations: []
Exploring Operation: 61-34=27, Resulting Numbers: [29, 42, 27]
Generated Node #2: [29, 42, 27] from Operation: 61-34=27
Current State: 84:[29, 42, 27], Operations: ['61-34=27']
Exploring Operation: 29-27=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 29-27=2
Current State: 84:[42, 2], Operations: ['61-34=27', '29-27=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
38,
19,
26,
22
] | 70 | [
"38/19=2",
"22*2=44",
"26+44=70"
] | Current State: 70:[38, 19, 26, 22], Operations: []
Exploring Operation: 38/19=2, Resulting Numbers: [26, 22, 2]
Generated Node #2: [26, 22, 2] from Operation: 38/19=2
Current State: 70:[26, 22, 2], Operations: ['38/19=2']
Exploring Operation: 22*2=44, Resulting Numbers: [26, 44]
Generated Node #3: [26, 44] from Operation: 22*2=44
Current State: 70:[26, 44], Operations: ['38/19=2', '22*2=44']
Exploring Operation: 26+44=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
77,
59,
17,
61
] | 61 | [
"77-59=18",
"18-17=1",
"61*1=61"
] | Current State: 61:[77, 59, 17, 61], Operations: []
Exploring Operation: 77-59=18, Resulting Numbers: [17, 61, 18]
Generated Node #2: [17, 61, 18] from Operation: 77-59=18
Current State: 61:[17, 61, 18], Operations: ['77-59=18']
Exploring Operation: 18-17=1, Resulting Numbers: [61, 1]
Generated Node #3: [61, 1] from Operation: 18-17=1
Current State: 61:[61, 1], Operations: ['77-59=18', '18-17=1']
Exploring Operation: 61*1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
52,
4,
34,
96
] | 14 | [
"52-4=48",
"96-34=62",
"62-48=14"
] | Current State: 14:[52, 4, 34, 96], Operations: []
Exploring Operation: 52-4=48, Resulting Numbers: [34, 96, 48]
Generated Node #2: [34, 96, 48] from Operation: 52-4=48
Current State: 14:[34, 96, 48], Operations: ['52-4=48']
Exploring Operation: 96-34=62, Resulting Numbers: [48, 62]
Generated Node #3: [48, 62] from Operation: 96-34=62
Current State: 14:[48, 62], Operations: ['52-4=48', '96-34=62']
Exploring Operation: 62-48=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
76,
5,
55,
97
] | 32 | [
"97-76=21",
"55/5=11",
"21+11=32"
] | Current State: 32:[76, 5, 55, 97], Operations: []
Exploring Operation: 97-76=21, Resulting Numbers: [5, 55, 21]
Generated Node #2: [5, 55, 21] from Operation: 97-76=21
Current State: 32:[5, 55, 21], Operations: ['97-76=21']
Exploring Operation: 55/5=11, Resulting Numbers: [21, 11]
Generated Node #3: [21, 11] from Operation: 55/5=11
Current State: 32:[21, 11], Operations: ['97-76=21', '55/5=11']
Exploring Operation: 21+11=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
57,
42,
39,
27
] | 66 | [
"42-39=3",
"27/3=9",
"57+9=66"
] | Current State: 66:[57, 42, 39, 27], Operations: []
Exploring Operation: 42-39=3, Resulting Numbers: [57, 27, 3]
Generated Node #2: [57, 27, 3] from Operation: 42-39=3
Current State: 66:[57, 27, 3], Operations: ['42-39=3']
Exploring Operation: 27/3=9, Resulting Numbers: [57, 9]
Generated Node #3: [57, 9] from Operation: 27/3=9
Current State: 66:[57, 9], Operations: ['42-39=3', '27/3=9']
Exploring Operation: 57+9=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
24,
37,
29,
6
] | 84 | [
"24+37=61",
"29-6=23",
"61+23=84"
] | Current State: 84:[24, 37, 29, 6], Operations: []
Exploring Operation: 24+37=61, Resulting Numbers: [29, 6, 61]
Generated Node #2: [29, 6, 61] from Operation: 24+37=61
Current State: 84:[29, 6, 61], Operations: ['24+37=61']
Exploring Operation: 29-6=23, Resulting Numbers: [61, 23]
Generated Node #3: [61, 23] from Operation: 29-6=23
Current State: 84:[61, 23], Operations: ['24+37=61', '29-6=23']
Exploring Operation: 61+23=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
53,
55,
27,
43
] | 14 | [
"55-53=2",
"43-27=16",
"16-2=14"
] | Current State: 14:[53, 55, 27, 43], Operations: []
Exploring Operation: 55-53=2, Resulting Numbers: [27, 43, 2]
Generated Node #2: [27, 43, 2] from Operation: 55-53=2
Current State: 14:[27, 43, 2], Operations: ['55-53=2']
Exploring Operation: 43-27=16, Resulting Numbers: [2, 16]
Generated Node #3: [2, 16] from Operation: 43-27=16
Current State: 14:[2, 16], Operations: ['55-53=2', '43-27=16']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
7,
50,
63,
70
] | 51 | [
"7+63=70",
"70/70=1",
"50+1=51"
] | Current State: 51:[7, 50, 63, 70], Operations: []
Exploring Operation: 7+63=70, Resulting Numbers: [50, 70, 70]
Generated Node #2: [50, 70, 70] from Operation: 7+63=70
Current State: 51:[50, 70, 70], Operations: ['7+63=70']
Exploring Operation: 70/70=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 70/70=1
Current State: 51:[50, 1], Operations: ['7+63=70', '70/70=1']
Exploring Operation: 50+1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
45,
75,
33,
79
] | 75 | [
"45+33=78",
"79-78=1",
"75*1=75"
] | Current State: 75:[45, 75, 33, 79], Operations: []
Exploring Operation: 45+33=78, Resulting Numbers: [75, 79, 78]
Generated Node #2: [75, 79, 78] from Operation: 45+33=78
Current State: 75:[75, 79, 78], Operations: ['45+33=78']
Exploring Operation: 79-78=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 79-78=1
Current State: 75:[75, 1], Operations: ['45+33=78', '79-78=1']
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
55,
56,
84,
84
] | 81 | [
"55*84=4620",
"4620-84=4536",
"4536/56=81"
] | Current State: 81:[55, 56, 84, 84], Operations: []
Exploring Operation: 55*84=4620, Resulting Numbers: [56, 4620]
Generated Node #2: [56, 4620] from Operation: 55*84=4620
Current State: 81:[56, 4620], Operations: ['55*84=4620']
Exploring Operation: 4620-84=4536, Resulting Numbers: [56, 4536]
Generated Node #3: [56, 4536] from Operation: 4620-84=4536
Current State: 81:[56, 4536], Operations: ['55*84=4620', '4620-84=4536']
Exploring Operation: 4536/56=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
23,
25,
42,
58
] | 50 | [
"25-23=2",
"42+58=100",
"100/2=50"
] | Current State: 50:[23, 25, 42, 58], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [42, 58, 2]
Generated Node #2: [42, 58, 2] from Operation: 25-23=2
Current State: 50:[42, 58, 2], Operations: ['25-23=2']
Exploring Operation: 42+58=100, Resulting Numbers: [2, 100]
Generated Node #3: [2, 100] from Operation: 42+58=100
Current State: 50:[2, 100], Operations: ['25-23=2', '42+58=100']
Exploring Operation: 100/2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
11,
51,
24,
6
] | 72 | [
"11+6=17",
"51*24=1224",
"1224/17=72"
] | Current State: 72:[11, 51, 24, 6], Operations: []
Exploring Operation: 11+6=17, Resulting Numbers: [51, 24, 17]
Generated Node #2: [51, 24, 17] from Operation: 11+6=17
Current State: 72:[51, 24, 17], Operations: ['11+6=17']
Exploring Operation: 51*24=1224, Resulting Numbers: [17, 1224]
Generated Node #3: [17, 1224] from Operation: 51*24=1224
Current State: 72:[17, 1224], Operations: ['11+6=17', '51*24=1224']
Exploring Operation: 1224/17=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
3,
19,
73,
47
] | 11 | [
"47-19=28",
"3*28=84",
"84-73=11"
] | Current State: 11:[3, 19, 73, 47], Operations: []
Exploring Operation: 47-19=28, Resulting Numbers: [3, 73, 28]
Generated Node #2: [3, 73, 28] from Operation: 47-19=28
Current State: 11:[3, 73, 28], Operations: ['47-19=28']
Exploring Operation: 3*28=84, Resulting Numbers: [73, 84]
Generated Node #3: [73, 84] from Operation: 3*28=84
Current State: 11:[73, 84], Operations: ['47-19=28', '3*28=84']
Exploring Operation: 84-73=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
7,
21,
17,
97
] | 52 | [
"7+21=28",
"97-17=80",
"80-28=52"
] | Current State: 52:[7, 21, 17, 97], Operations: []
Exploring Operation: 7+21=28, Resulting Numbers: [17, 97, 28]
Generated Node #2: [17, 97, 28] from Operation: 7+21=28
Current State: 52:[17, 97, 28], Operations: ['7+21=28']
Exploring Operation: 97-17=80, Resulting Numbers: [28, 80]
Generated Node #3: [28, 80] from Operation: 97-17=80
Current State: 52:[28, 80], Operations: ['7+21=28', '97-17=80']
Exploring Operation: 80-28=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
66,
38,
6,
44
] | 47 | [
"66*6=396",
"396/44=9",
"38+9=47"
] | Current State: 47:[66, 38, 6, 44], Operations: []
Exploring Operation: 66*6=396, Resulting Numbers: [38, 44, 396]
Generated Node #2: [38, 44, 396] from Operation: 66*6=396
Current State: 47:[38, 44, 396], Operations: ['66*6=396']
Exploring Operation: 396/44=9, Resulting Numbers: [38, 9]
Generated Node #3: [38, 9] from Operation: 396/44=9
Current State: 47:[38, 9], Operations: ['66*6=396', '396/44=9']
Exploring Operation: 38+9=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
12,
20,
12,
36
] | 80 | [
"12+20=32",
"12+36=48",
"32+48=80"
] | Current State: 80:[12, 20, 12, 36], Operations: []
Exploring Operation: 12+20=32, Resulting Numbers: [36, 32]
Generated Node #2: [36, 32] from Operation: 12+20=32
Current State: 80:[36, 32], Operations: ['12+20=32']
Exploring Operation: 12+36=48, Resulting Numbers: [32, 48]
Generated Node #3: [32, 48] from Operation: 12+36=48
Current State: 80:[32, 48], Operations: ['12+20=32', '12+36=48']
Exploring Operation: 32+48=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
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