nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
59,
93,
79,
97
] | 24 | [
"59+93=152",
"79+97=176",
"176-152=24"
] | Current State: 24:[59, 93, 79, 97], Operations: []
Exploring Operation: 59+93=152, Resulting Numbers: [79, 97, 152]
Generated Node #2: [79, 97, 152] from Operation: 59+93=152
Current State: 24:[79, 97, 152], Operations: ['59+93=152']
Exploring Operation: 79+97=176, Resulting Numbers: [152, 176]
Generated Node #3: [152, 176] from Operation: 79+97=176
Current State: 24:[152, 176], Operations: ['59+93=152', '79+97=176']
Exploring Operation: 176-152=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
24,
68,
2,
13
] | 59 | [
"24+68=92",
"92/2=46",
"13+46=59"
] | Current State: 59:[24, 68, 2, 13], Operations: []
Exploring Operation: 24+68=92, Resulting Numbers: [2, 13, 92]
Generated Node #2: [2, 13, 92] from Operation: 24+68=92
Current State: 59:[2, 13, 92], Operations: ['24+68=92']
Exploring Operation: 92/2=46, Resulting Numbers: [13, 46]
Generated Node #3: [13, 46] from Operation: 92/2=46
Current State: 59:[13, 46], Operations: ['24+68=92', '92/2=46']
Exploring Operation: 13+46=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
62,
84,
29,
92
] | 99 | [
"84-62=22",
"29+92=121",
"121-22=99"
] | Current State: 99:[62, 84, 29, 92], Operations: []
Exploring Operation: 84-62=22, Resulting Numbers: [29, 92, 22]
Generated Node #2: [29, 92, 22] from Operation: 84-62=22
Current State: 99:[29, 92, 22], Operations: ['84-62=22']
Exploring Operation: 29+92=121, Resulting Numbers: [22, 121]
Generated Node #3: [22, 121] from Operation: 29+92=121
Current State: 99:[22, 121], Operations: ['84-62=22', '29+92=121']
Exploring Operation: 121-22=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
12,
4,
92,
62
] | 73 | [
"62-12=50",
"92/4=23",
"50+23=73"
] | Current State: 73:[12, 4, 92, 62], Operations: []
Exploring Operation: 62-12=50, Resulting Numbers: [4, 92, 50]
Generated Node #2: [4, 92, 50] from Operation: 62-12=50
Current State: 73:[4, 92, 50], Operations: ['62-12=50']
Exploring Operation: 92/4=23, Resulting Numbers: [50, 23]
Generated Node #3: [50, 23] from Operation: 92/4=23
Current State: 73:[50, 23], Operations: ['62-12=50', '92/4=23']
Exploring Operation: 50+23=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
12,
27,
36,
32
] | 30 | [
"27*36=972",
"972-12=960",
"960/32=30"
] | Current State: 30:[12, 27, 36, 32], Operations: []
Exploring Operation: 27*36=972, Resulting Numbers: [12, 32, 972]
Generated Node #2: [12, 32, 972] from Operation: 27*36=972
Current State: 30:[12, 32, 972], Operations: ['27*36=972']
Exploring Operation: 972-12=960, Resulting Numbers: [32, 960]
Generated Node #3: [32, 960] from Operation: 972-12=960
Current State: 30:[32, 960], Operations: ['27*36=972', '972-12=960']
Exploring Operation: 960/32=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
2,
84,
33,
57
] | 66 | [
"84/2=42",
"57-33=24",
"42+24=66"
] | Current State: 66:[2, 84, 33, 57], Operations: []
Exploring Operation: 84/2=42, Resulting Numbers: [33, 57, 42]
Generated Node #2: [33, 57, 42] from Operation: 84/2=42
Current State: 66:[33, 57, 42], Operations: ['84/2=42']
Exploring Operation: 57-33=24, Resulting Numbers: [42, 24]
Generated Node #3: [42, 24] from Operation: 57-33=24
Current State: 66:[42, 24], Operations: ['84/2=42', '57-33=24']
Exploring Operation: 42+24=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
18,
56,
8,
13
] | 43 | [
"56-18=38",
"13-8=5",
"38+5=43"
] | Current State: 43:[18, 56, 8, 13], Operations: []
Exploring Operation: 56-18=38, Resulting Numbers: [8, 13, 38]
Generated Node #2: [8, 13, 38] from Operation: 56-18=38
Current State: 43:[8, 13, 38], Operations: ['56-18=38']
Exploring Operation: 13-8=5, Resulting Numbers: [38, 5]
Generated Node #3: [38, 5] from Operation: 13-8=5
Current State: 43:[38, 5], Operations: ['56-18=38', '13-8=5']
Exploring Operation: 38+5=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
20,
11,
5,
18
] | 44 | [
"20+11=31",
"18-5=13",
"31+13=44"
] | Current State: 44:[20, 11, 5, 18], Operations: []
Exploring Operation: 20+11=31, Resulting Numbers: [5, 18, 31]
Generated Node #2: [5, 18, 31] from Operation: 20+11=31
Current State: 44:[5, 18, 31], Operations: ['20+11=31']
Exploring Operation: 18-5=13, Resulting Numbers: [31, 13]
Generated Node #3: [31, 13] from Operation: 18-5=13
Current State: 44:[31, 13], Operations: ['20+11=31', '18-5=13']
Exploring Operation: 31+13=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
64,
28,
32,
15
] | 31 | [
"32-28=4",
"64/4=16",
"15+16=31"
] | Current State: 31:[64, 28, 32, 15], Operations: []
Exploring Operation: 32-28=4, Resulting Numbers: [64, 15, 4]
Generated Node #2: [64, 15, 4] from Operation: 32-28=4
Current State: 31:[64, 15, 4], Operations: ['32-28=4']
Exploring Operation: 64/4=16, Resulting Numbers: [15, 16]
Generated Node #3: [15, 16] from Operation: 64/4=16
Current State: 31:[15, 16], Operations: ['32-28=4', '64/4=16']
Exploring Operation: 15+16=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
3,
54,
69,
51
] | 14 | [
"69+51=120",
"120/3=40",
"54-40=14"
] | Current State: 14:[3, 54, 69, 51], Operations: []
Exploring Operation: 69+51=120, Resulting Numbers: [3, 54, 120]
Generated Node #2: [3, 54, 120] from Operation: 69+51=120
Current State: 14:[3, 54, 120], Operations: ['69+51=120']
Exploring Operation: 120/3=40, Resulting Numbers: [54, 40]
Generated Node #3: [54, 40] from Operation: 120/3=40
Current State: 14:[54, 40], Operations: ['69+51=120', '120/3=40']
Exploring Operation: 54-40=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
78,
59,
3,
79
] | 61 | [
"78+59=137",
"79-3=76",
"137-76=61"
] | Current State: 61:[78, 59, 3, 79], Operations: []
Exploring Operation: 78+59=137, Resulting Numbers: [3, 79, 137]
Generated Node #2: [3, 79, 137] from Operation: 78+59=137
Current State: 61:[3, 79, 137], Operations: ['78+59=137']
Exploring Operation: 79-3=76, Resulting Numbers: [137, 76]
Generated Node #3: [137, 76] from Operation: 79-3=76
Current State: 61:[137, 76], Operations: ['78+59=137', '79-3=76']
Exploring Operation: 137-76=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
82,
4,
6,
62
] | 71 | [
"4+62=66",
"66/6=11",
"82-11=71"
] | Current State: 71:[82, 4, 6, 62], Operations: []
Exploring Operation: 4+62=66, Resulting Numbers: [82, 6, 66]
Generated Node #2: [82, 6, 66] from Operation: 4+62=66
Current State: 71:[82, 6, 66], Operations: ['4+62=66']
Exploring Operation: 66/6=11, Resulting Numbers: [82, 11]
Generated Node #3: [82, 11] from Operation: 66/6=11
Current State: 71:[82, 11], Operations: ['4+62=66', '66/6=11']
Exploring Operation: 82-11=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
46,
21,
91,
81
] | 15 | [
"46-21=25",
"91-81=10",
"25-10=15"
] | Current State: 15:[46, 21, 91, 81], Operations: []
Exploring Operation: 46-21=25, Resulting Numbers: [91, 81, 25]
Generated Node #2: [91, 81, 25] from Operation: 46-21=25
Current State: 15:[91, 81, 25], Operations: ['46-21=25']
Exploring Operation: 91-81=10, Resulting Numbers: [25, 10]
Generated Node #3: [25, 10] from Operation: 91-81=10
Current State: 15:[25, 10], Operations: ['46-21=25', '91-81=10']
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
95,
32,
98,
49
] | 47 | [
"98-95=3",
"32*3=96",
"96-49=47"
] | Current State: 47:[95, 32, 98, 49], Operations: []
Exploring Operation: 98-95=3, Resulting Numbers: [32, 49, 3]
Generated Node #2: [32, 49, 3] from Operation: 98-95=3
Current State: 47:[32, 49, 3], Operations: ['98-95=3']
Exploring Operation: 32*3=96, Resulting Numbers: [49, 96]
Generated Node #3: [49, 96] from Operation: 32*3=96
Current State: 47:[49, 96], Operations: ['98-95=3', '32*3=96']
Exploring Operation: 96-49=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
52,
64,
66,
23
] | 27 | [
"52+64=116",
"66+23=89",
"116-89=27"
] | Current State: 27:[52, 64, 66, 23], Operations: []
Exploring Operation: 52+64=116, Resulting Numbers: [66, 23, 116]
Generated Node #2: [66, 23, 116] from Operation: 52+64=116
Current State: 27:[66, 23, 116], Operations: ['52+64=116']
Exploring Operation: 66+23=89, Resulting Numbers: [116, 89]
Generated Node #3: [116, 89] from Operation: 66+23=89
Current State: 27:[116, 89], Operations: ['52+64=116', '66+23=89']
Exploring Operation: 116-89=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
11,
23,
21,
11
] | 77 | [
"11*11=121",
"23+21=44",
"121-44=77"
] | Current State: 77:[11, 23, 21, 11], Operations: []
Exploring Operation: 11*11=121, Resulting Numbers: [23, 21, 121]
Generated Node #2: [23, 21, 121] from Operation: 11*11=121
Current State: 77:[23, 21, 121], Operations: ['11*11=121']
Exploring Operation: 23+21=44, Resulting Numbers: [121, 44]
Generated Node #3: [121, 44] from Operation: 23+21=44
Current State: 77:[121, 44], Operations: ['11*11=121', '23+21=44']
Exploring Operation: 121-44=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
21,
65,
91,
91
] | 65 | [
"91-91=0",
"21*0=0",
"65+0=65"
] | Current State: 65:[21, 65, 91, 91], Operations: []
Exploring Operation: 91-91=0, Resulting Numbers: [21, 65, 0]
Generated Node #2: [21, 65, 0] from Operation: 91-91=0
Current State: 65:[21, 65, 0], Operations: ['91-91=0']
Exploring Operation: 21*0=0, Resulting Numbers: [65, 0]
Generated Node #3: [65, 0] from Operation: 21*0=0
Current State: 65:[65, 0], Operations: ['91-91=0', '21*0=0']
Exploring Operation: 65+0=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
88,
14,
30,
51
] | 98 | [
"88-30=58",
"58-51=7",
"14*7=98"
] | Current State: 98:[88, 14, 30, 51], Operations: []
Exploring Operation: 88-30=58, Resulting Numbers: [14, 51, 58]
Generated Node #2: [14, 51, 58] from Operation: 88-30=58
Current State: 98:[14, 51, 58], Operations: ['88-30=58']
Exploring Operation: 58-51=7, Resulting Numbers: [14, 7]
Generated Node #3: [14, 7] from Operation: 58-51=7
Current State: 98:[14, 7], Operations: ['88-30=58', '58-51=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
43,
56,
46,
90
] | 57 | [
"56-43=13",
"90-46=44",
"13+44=57"
] | Current State: 57:[43, 56, 46, 90], Operations: []
Exploring Operation: 56-43=13, Resulting Numbers: [46, 90, 13]
Generated Node #2: [46, 90, 13] from Operation: 56-43=13
Current State: 57:[46, 90, 13], Operations: ['56-43=13']
Exploring Operation: 90-46=44, Resulting Numbers: [13, 44]
Generated Node #3: [13, 44] from Operation: 90-46=44
Current State: 57:[13, 44], Operations: ['56-43=13', '90-46=44']
Exploring Operation: 13+44=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
52,
6,
5,
18
] | 35 | [
"52+6=58",
"5+18=23",
"58-23=35"
] | Current State: 35:[52, 6, 5, 18], Operations: []
Exploring Operation: 52+6=58, Resulting Numbers: [5, 18, 58]
Generated Node #2: [5, 18, 58] from Operation: 52+6=58
Current State: 35:[5, 18, 58], Operations: ['52+6=58']
Exploring Operation: 5+18=23, Resulting Numbers: [58, 23]
Generated Node #3: [58, 23] from Operation: 5+18=23
Current State: 35:[58, 23], Operations: ['52+6=58', '5+18=23']
Exploring Operation: 58-23=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
9,
14,
2,
55
] | 46 | [
"9+55=64",
"64/2=32",
"14+32=46"
] | Current State: 46:[9, 14, 2, 55], Operations: []
Exploring Operation: 9+55=64, Resulting Numbers: [14, 2, 64]
Generated Node #2: [14, 2, 64] from Operation: 9+55=64
Current State: 46:[14, 2, 64], Operations: ['9+55=64']
Exploring Operation: 64/2=32, Resulting Numbers: [14, 32]
Generated Node #3: [14, 32] from Operation: 64/2=32
Current State: 46:[14, 32], Operations: ['9+55=64', '64/2=32']
Exploring Operation: 14+32=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
8,
66,
14,
41
] | 46 | [
"8*66=528",
"14*41=574",
"574-528=46"
] | Current State: 46:[8, 66, 14, 41], Operations: []
Exploring Operation: 8*66=528, Resulting Numbers: [14, 41, 528]
Generated Node #2: [14, 41, 528] from Operation: 8*66=528
Current State: 46:[14, 41, 528], Operations: ['8*66=528']
Exploring Operation: 14*41=574, Resulting Numbers: [528, 574]
Generated Node #3: [528, 574] from Operation: 14*41=574
Current State: 46:[528, 574], Operations: ['8*66=528', '14*41=574']
Exploring Operation: 574-528=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
18,
11,
99,
65
] | 92 | [
"18+65=83",
"99/11=9",
"83+9=92"
] | Current State: 92:[18, 11, 99, 65], Operations: []
Exploring Operation: 18+65=83, Resulting Numbers: [11, 99, 83]
Generated Node #2: [11, 99, 83] from Operation: 18+65=83
Current State: 92:[11, 99, 83], Operations: ['18+65=83']
Exploring Operation: 99/11=9, Resulting Numbers: [83, 9]
Generated Node #3: [83, 9] from Operation: 99/11=9
Current State: 92:[83, 9], Operations: ['18+65=83', '99/11=9']
Exploring Operation: 83+9=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
82,
50,
29,
48
] | 22 | [
"82*29=2378",
"50*48=2400",
"2400-2378=22"
] | Current State: 22:[82, 50, 29, 48], Operations: []
Exploring Operation: 82*29=2378, Resulting Numbers: [50, 48, 2378]
Generated Node #2: [50, 48, 2378] from Operation: 82*29=2378
Current State: 22:[50, 48, 2378], Operations: ['82*29=2378']
Exploring Operation: 50*48=2400, Resulting Numbers: [2378, 2400]
Generated Node #3: [2378, 2400] from Operation: 50*48=2400
Current State: 22:[2378, 2400], Operations: ['82*29=2378', '50*48=2400']
Exploring Operation: 2400-2378=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
18,
71,
56,
66
] | 22 | [
"71-18=53",
"56-53=3",
"66/3=22"
] | Current State: 22:[18, 71, 56, 66], Operations: []
Exploring Operation: 71-18=53, Resulting Numbers: [56, 66, 53]
Generated Node #2: [56, 66, 53] from Operation: 71-18=53
Current State: 22:[56, 66, 53], Operations: ['71-18=53']
Exploring Operation: 56-53=3, Resulting Numbers: [66, 3]
Generated Node #3: [66, 3] from Operation: 56-53=3
Current State: 22:[66, 3], Operations: ['71-18=53', '56-53=3']
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
28,
88,
67,
23
] | 14 | [
"88-67=21",
"23-21=2",
"28/2=14"
] | Current State: 14:[28, 88, 67, 23], Operations: []
Exploring Operation: 88-67=21, Resulting Numbers: [28, 23, 21]
Generated Node #2: [28, 23, 21] from Operation: 88-67=21
Current State: 14:[28, 23, 21], Operations: ['88-67=21']
Exploring Operation: 23-21=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 23-21=2
Current State: 14:[28, 2], Operations: ['88-67=21', '23-21=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
1,
8,
63,
3
] | 59 | [
"8-1=7",
"63+3=66",
"66-7=59"
] | Current State: 59:[1, 8, 63, 3], Operations: []
Exploring Operation: 8-1=7, Resulting Numbers: [63, 3, 7]
Generated Node #2: [63, 3, 7] from Operation: 8-1=7
Current State: 59:[63, 3, 7], Operations: ['8-1=7']
Exploring Operation: 63+3=66, Resulting Numbers: [7, 66]
Generated Node #3: [7, 66] from Operation: 63+3=66
Current State: 59:[7, 66], Operations: ['8-1=7', '63+3=66']
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
99,
1,
45,
43
] | 50 | [
"99+1=100",
"45-43=2",
"100/2=50"
] | Current State: 50:[99, 1, 45, 43], Operations: []
Exploring Operation: 99+1=100, Resulting Numbers: [45, 43, 100]
Generated Node #2: [45, 43, 100] from Operation: 99+1=100
Current State: 50:[45, 43, 100], Operations: ['99+1=100']
Exploring Operation: 45-43=2, Resulting Numbers: [100, 2]
Generated Node #3: [100, 2] from Operation: 45-43=2
Current State: 50:[100, 2], Operations: ['99+1=100', '45-43=2']
Exploring Operation: 100/2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
25,
17,
59,
9
] | 21 | [
"59+9=68",
"68/17=4",
"25-4=21"
] | Current State: 21:[25, 17, 59, 9], Operations: []
Exploring Operation: 59+9=68, Resulting Numbers: [25, 17, 68]
Generated Node #2: [25, 17, 68] from Operation: 59+9=68
Current State: 21:[25, 17, 68], Operations: ['59+9=68']
Exploring Operation: 68/17=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 68/17=4
Current State: 21:[25, 4], Operations: ['59+9=68', '68/17=4']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
93,
36,
34,
84
] | 96 | [
"93*36=3348",
"3348-84=3264",
"3264/34=96"
] | Current State: 96:[93, 36, 34, 84], Operations: []
Exploring Operation: 93*36=3348, Resulting Numbers: [34, 84, 3348]
Generated Node #2: [34, 84, 3348] from Operation: 93*36=3348
Current State: 96:[34, 84, 3348], Operations: ['93*36=3348']
Exploring Operation: 3348-84=3264, Resulting Numbers: [34, 3264]
Generated Node #3: [34, 3264] from Operation: 3348-84=3264
Current State: 96:[34, 3264], Operations: ['93*36=3348', '3348-84=3264']
Exploring Operation: 3264/34=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
52,
63,
45,
98
] | 23 | [
"52-45=7",
"63+98=161",
"161/7=23"
] | Current State: 23:[52, 63, 45, 98], Operations: []
Exploring Operation: 52-45=7, Resulting Numbers: [63, 98, 7]
Generated Node #2: [63, 98, 7] from Operation: 52-45=7
Current State: 23:[63, 98, 7], Operations: ['52-45=7']
Exploring Operation: 63+98=161, Resulting Numbers: [7, 161]
Generated Node #3: [7, 161] from Operation: 63+98=161
Current State: 23:[7, 161], Operations: ['52-45=7', '63+98=161']
Exploring Operation: 161/7=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
25,
77,
39,
22
] | 35 | [
"77-25=52",
"39-22=17",
"52-17=35"
] | Current State: 35:[25, 77, 39, 22], Operations: []
Exploring Operation: 77-25=52, Resulting Numbers: [39, 22, 52]
Generated Node #2: [39, 22, 52] from Operation: 77-25=52
Current State: 35:[39, 22, 52], Operations: ['77-25=52']
Exploring Operation: 39-22=17, Resulting Numbers: [52, 17]
Generated Node #3: [52, 17] from Operation: 39-22=17
Current State: 35:[52, 17], Operations: ['77-25=52', '39-22=17']
Exploring Operation: 52-17=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
21,
15,
9,
76
] | 78 | [
"21+9=30",
"30/15=2",
"76+2=78"
] | Current State: 78:[21, 15, 9, 76], Operations: []
Exploring Operation: 21+9=30, Resulting Numbers: [15, 76, 30]
Generated Node #2: [15, 76, 30] from Operation: 21+9=30
Current State: 78:[15, 76, 30], Operations: ['21+9=30']
Exploring Operation: 30/15=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 30/15=2
Current State: 78:[76, 2], Operations: ['21+9=30', '30/15=2']
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
92,
78,
26,
70
] | 19 | [
"92-70=22",
"78/26=3",
"22-3=19"
] | Current State: 19:[92, 78, 26, 70], Operations: []
Exploring Operation: 92-70=22, Resulting Numbers: [78, 26, 22]
Generated Node #2: [78, 26, 22] from Operation: 92-70=22
Current State: 19:[78, 26, 22], Operations: ['92-70=22']
Exploring Operation: 78/26=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 78/26=3
Current State: 19:[22, 3], Operations: ['92-70=22', '78/26=3']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
6,
56,
36,
67
] | 31 | [
"6+56=62",
"67-36=31",
"62-31=31"
] | Current State: 31:[6, 56, 36, 67], Operations: []
Exploring Operation: 6+56=62, Resulting Numbers: [36, 67, 62]
Generated Node #2: [36, 67, 62] from Operation: 6+56=62
Current State: 31:[36, 67, 62], Operations: ['6+56=62']
Exploring Operation: 67-36=31, Resulting Numbers: [62, 31]
Generated Node #3: [62, 31] from Operation: 67-36=31
Current State: 31:[62, 31], Operations: ['6+56=62', '67-36=31']
Exploring Operation: 62-31=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
35,
88,
5,
22
] | 66 | [
"35/5=7",
"22*7=154",
"154-88=66"
] | Current State: 66:[35, 88, 5, 22], Operations: []
Exploring Operation: 35/5=7, Resulting Numbers: [88, 22, 7]
Generated Node #2: [88, 22, 7] from Operation: 35/5=7
Current State: 66:[88, 22, 7], Operations: ['35/5=7']
Exploring Operation: 22*7=154, Resulting Numbers: [88, 154]
Generated Node #3: [88, 154] from Operation: 22*7=154
Current State: 66:[88, 154], Operations: ['35/5=7', '22*7=154']
Exploring Operation: 154-88=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
45,
22,
13,
48
] | 84 | [
"45-22=23",
"13+48=61",
"23+61=84"
] | Current State: 84:[45, 22, 13, 48], Operations: []
Exploring Operation: 45-22=23, Resulting Numbers: [13, 48, 23]
Generated Node #2: [13, 48, 23] from Operation: 45-22=23
Current State: 84:[13, 48, 23], Operations: ['45-22=23']
Exploring Operation: 13+48=61, Resulting Numbers: [23, 61]
Generated Node #3: [23, 61] from Operation: 13+48=61
Current State: 84:[23, 61], Operations: ['45-22=23', '13+48=61']
Exploring Operation: 23+61=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
60,
18,
40,
22
] | 24 | [
"60-18=42",
"40-22=18",
"42-18=24"
] | Current State: 24:[60, 18, 40, 22], Operations: []
Exploring Operation: 60-18=42, Resulting Numbers: [40, 22, 42]
Generated Node #2: [40, 22, 42] from Operation: 60-18=42
Current State: 24:[40, 22, 42], Operations: ['60-18=42']
Exploring Operation: 40-22=18, Resulting Numbers: [42, 18]
Generated Node #3: [42, 18] from Operation: 40-22=18
Current State: 24:[42, 18], Operations: ['60-18=42', '40-22=18']
Exploring Operation: 42-18=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
48,
3,
76,
63
] | 71 | [
"63-48=15",
"15/3=5",
"76-5=71"
] | Current State: 71:[48, 3, 76, 63], Operations: []
Exploring Operation: 63-48=15, Resulting Numbers: [3, 76, 15]
Generated Node #2: [3, 76, 15] from Operation: 63-48=15
Current State: 71:[3, 76, 15], Operations: ['63-48=15']
Exploring Operation: 15/3=5, Resulting Numbers: [76, 5]
Generated Node #3: [76, 5] from Operation: 15/3=5
Current State: 71:[76, 5], Operations: ['63-48=15', '15/3=5']
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
90,
7,
53,
11
] | 40 | [
"90-53=37",
"7*11=77",
"77-37=40"
] | Current State: 40:[90, 7, 53, 11], Operations: []
Exploring Operation: 90-53=37, Resulting Numbers: [7, 11, 37]
Generated Node #2: [7, 11, 37] from Operation: 90-53=37
Current State: 40:[7, 11, 37], Operations: ['90-53=37']
Exploring Operation: 7*11=77, Resulting Numbers: [37, 77]
Generated Node #3: [37, 77] from Operation: 7*11=77
Current State: 40:[37, 77], Operations: ['90-53=37', '7*11=77']
Exploring Operation: 77-37=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
33,
39,
43,
24
] | 21 | [
"39*24=936",
"936-33=903",
"903/43=21"
] | Current State: 21:[33, 39, 43, 24], Operations: []
Exploring Operation: 39*24=936, Resulting Numbers: [33, 43, 936]
Generated Node #2: [33, 43, 936] from Operation: 39*24=936
Current State: 21:[33, 43, 936], Operations: ['39*24=936']
Exploring Operation: 936-33=903, Resulting Numbers: [43, 903]
Generated Node #3: [43, 903] from Operation: 936-33=903
Current State: 21:[43, 903], Operations: ['39*24=936', '936-33=903']
Exploring Operation: 903/43=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
21,
5,
51,
52
] | 25 | [
"21+5=26",
"52-51=1",
"26-1=25"
] | Current State: 25:[21, 5, 51, 52], Operations: []
Exploring Operation: 21+5=26, Resulting Numbers: [51, 52, 26]
Generated Node #2: [51, 52, 26] from Operation: 21+5=26
Current State: 25:[51, 52, 26], Operations: ['21+5=26']
Exploring Operation: 52-51=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 52-51=1
Current State: 25:[26, 1], Operations: ['21+5=26', '52-51=1']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
42,
83,
29,
82
] | 27 | [
"83-42=41",
"82/41=2",
"29-2=27"
] | Current State: 27:[42, 83, 29, 82], Operations: []
Exploring Operation: 83-42=41, Resulting Numbers: [29, 82, 41]
Generated Node #2: [29, 82, 41] from Operation: 83-42=41
Current State: 27:[29, 82, 41], Operations: ['83-42=41']
Exploring Operation: 82/41=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 82/41=2
Current State: 27:[29, 2], Operations: ['83-42=41', '82/41=2']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
57,
54,
54,
52
] | 51 | [
"54-52=2",
"54*2=108",
"108-57=51"
] | Current State: 51:[57, 54, 54, 52], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [57, 2]
Generated Node #2: [57, 2] from Operation: 54-52=2
Current State: 51:[57, 2], Operations: ['54-52=2']
Exploring Operation: 54*2=108, Resulting Numbers: [57, 108]
Generated Node #3: [57, 108] from Operation: 54*2=108
Current State: 51:[57, 108], Operations: ['54-52=2', '54*2=108']
Exploring Operation: 108-57=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
75,
15,
15,
12
] | 62 | [
"75-12=63",
"15/15=1",
"63-1=62"
] | Current State: 62:[75, 15, 15, 12], Operations: []
Exploring Operation: 75-12=63, Resulting Numbers: [15, 15, 63]
Generated Node #2: [15, 15, 63] from Operation: 75-12=63
Current State: 62:[15, 15, 63], Operations: ['75-12=63']
Exploring Operation: 15/15=1, Resulting Numbers: [63, 1]
Generated Node #3: [63, 1] from Operation: 15/15=1
Current State: 62:[63, 1], Operations: ['75-12=63', '15/15=1']
Exploring Operation: 63-1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
21,
89,
63,
31
] | 36 | [
"89-21=68",
"63-31=32",
"68-32=36"
] | Current State: 36:[21, 89, 63, 31], Operations: []
Exploring Operation: 89-21=68, Resulting Numbers: [63, 31, 68]
Generated Node #2: [63, 31, 68] from Operation: 89-21=68
Current State: 36:[63, 31, 68], Operations: ['89-21=68']
Exploring Operation: 63-31=32, Resulting Numbers: [68, 32]
Generated Node #3: [68, 32] from Operation: 63-31=32
Current State: 36:[68, 32], Operations: ['89-21=68', '63-31=32']
Exploring Operation: 68-32=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
27,
33,
29,
99
] | 38 | [
"27*33=891",
"891/99=9",
"29+9=38"
] | Current State: 38:[27, 33, 29, 99], Operations: []
Exploring Operation: 27*33=891, Resulting Numbers: [29, 99, 891]
Generated Node #2: [29, 99, 891] from Operation: 27*33=891
Current State: 38:[29, 99, 891], Operations: ['27*33=891']
Exploring Operation: 891/99=9, Resulting Numbers: [29, 9]
Generated Node #3: [29, 9] from Operation: 891/99=9
Current State: 38:[29, 9], Operations: ['27*33=891', '891/99=9']
Exploring Operation: 29+9=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
82,
29,
54,
35
] | 35 | [
"82-29=53",
"54-53=1",
"35*1=35"
] | Current State: 35:[82, 29, 54, 35], Operations: []
Exploring Operation: 82-29=53, Resulting Numbers: [54, 35, 53]
Generated Node #2: [54, 35, 53] from Operation: 82-29=53
Current State: 35:[54, 35, 53], Operations: ['82-29=53']
Exploring Operation: 54-53=1, Resulting Numbers: [35, 1]
Generated Node #3: [35, 1] from Operation: 54-53=1
Current State: 35:[35, 1], Operations: ['82-29=53', '54-53=1']
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
30,
75,
34,
1
] | 72 | [
"30+75=105",
"34-1=33",
"105-33=72"
] | Current State: 72:[30, 75, 34, 1], Operations: []
Exploring Operation: 30+75=105, Resulting Numbers: [34, 1, 105]
Generated Node #2: [34, 1, 105] from Operation: 30+75=105
Current State: 72:[34, 1, 105], Operations: ['30+75=105']
Exploring Operation: 34-1=33, Resulting Numbers: [105, 33]
Generated Node #3: [105, 33] from Operation: 34-1=33
Current State: 72:[105, 33], Operations: ['30+75=105', '34-1=33']
Exploring Operation: 105-33=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
80,
94,
35,
8
] | 77 | [
"94-80=14",
"8*14=112",
"112-35=77"
] | Current State: 77:[80, 94, 35, 8], Operations: []
Exploring Operation: 94-80=14, Resulting Numbers: [35, 8, 14]
Generated Node #2: [35, 8, 14] from Operation: 94-80=14
Current State: 77:[35, 8, 14], Operations: ['94-80=14']
Exploring Operation: 8*14=112, Resulting Numbers: [35, 112]
Generated Node #3: [35, 112] from Operation: 8*14=112
Current State: 77:[35, 112], Operations: ['94-80=14', '8*14=112']
Exploring Operation: 112-35=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
4,
56,
34,
21
] | 58 | [
"21-4=17",
"34/17=2",
"56+2=58"
] | Current State: 58:[4, 56, 34, 21], Operations: []
Exploring Operation: 21-4=17, Resulting Numbers: [56, 34, 17]
Generated Node #2: [56, 34, 17] from Operation: 21-4=17
Current State: 58:[56, 34, 17], Operations: ['21-4=17']
Exploring Operation: 34/17=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 34/17=2
Current State: 58:[56, 2], Operations: ['21-4=17', '34/17=2']
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
66,
93,
20,
69
] | 26 | [
"93*20=1860",
"1860-66=1794",
"1794/69=26"
] | Current State: 26:[66, 93, 20, 69], Operations: []
Exploring Operation: 93*20=1860, Resulting Numbers: [66, 69, 1860]
Generated Node #2: [66, 69, 1860] from Operation: 93*20=1860
Current State: 26:[66, 69, 1860], Operations: ['93*20=1860']
Exploring Operation: 1860-66=1794, Resulting Numbers: [69, 1794]
Generated Node #3: [69, 1794] from Operation: 1860-66=1794
Current State: 26:[69, 1794], Operations: ['93*20=1860', '1860-66=1794']
Exploring Operation: 1794/69=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
41,
66,
2,
59
] | 68 | [
"66-41=25",
"59-25=34",
"2*34=68"
] | Current State: 68:[41, 66, 2, 59], Operations: []
Exploring Operation: 66-41=25, Resulting Numbers: [2, 59, 25]
Generated Node #2: [2, 59, 25] from Operation: 66-41=25
Current State: 68:[2, 59, 25], Operations: ['66-41=25']
Exploring Operation: 59-25=34, Resulting Numbers: [2, 34]
Generated Node #3: [2, 34] from Operation: 59-25=34
Current State: 68:[2, 34], Operations: ['66-41=25', '59-25=34']
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
46,
54,
39,
3
] | 51 | [
"54-39=15",
"15/3=5",
"46+5=51"
] | Current State: 51:[46, 54, 39, 3], Operations: []
Exploring Operation: 54-39=15, Resulting Numbers: [46, 3, 15]
Generated Node #2: [46, 3, 15] from Operation: 54-39=15
Current State: 51:[46, 3, 15], Operations: ['54-39=15']
Exploring Operation: 15/3=5, Resulting Numbers: [46, 5]
Generated Node #3: [46, 5] from Operation: 15/3=5
Current State: 51:[46, 5], Operations: ['54-39=15', '15/3=5']
Exploring Operation: 46+5=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
51,
37,
97,
50
] | 46 | [
"51+97=148",
"148/37=4",
"50-4=46"
] | Current State: 46:[51, 37, 97, 50], Operations: []
Exploring Operation: 51+97=148, Resulting Numbers: [37, 50, 148]
Generated Node #2: [37, 50, 148] from Operation: 51+97=148
Current State: 46:[37, 50, 148], Operations: ['51+97=148']
Exploring Operation: 148/37=4, Resulting Numbers: [50, 4]
Generated Node #3: [50, 4] from Operation: 148/37=4
Current State: 46:[50, 4], Operations: ['51+97=148', '148/37=4']
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
63,
36,
45,
79
] | 81 | [
"63-45=18",
"36/18=2",
"79+2=81"
] | Current State: 81:[63, 36, 45, 79], Operations: []
Exploring Operation: 63-45=18, Resulting Numbers: [36, 79, 18]
Generated Node #2: [36, 79, 18] from Operation: 63-45=18
Current State: 81:[36, 79, 18], Operations: ['63-45=18']
Exploring Operation: 36/18=2, Resulting Numbers: [79, 2]
Generated Node #3: [79, 2] from Operation: 36/18=2
Current State: 81:[79, 2], Operations: ['63-45=18', '36/18=2']
Exploring Operation: 79+2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
72,
9,
97,
11
] | 61 | [
"11-9=2",
"72/2=36",
"97-36=61"
] | Current State: 61:[72, 9, 97, 11], Operations: []
Exploring Operation: 11-9=2, Resulting Numbers: [72, 97, 2]
Generated Node #2: [72, 97, 2] from Operation: 11-9=2
Current State: 61:[72, 97, 2], Operations: ['11-9=2']
Exploring Operation: 72/2=36, Resulting Numbers: [97, 36]
Generated Node #3: [97, 36] from Operation: 72/2=36
Current State: 61:[97, 36], Operations: ['11-9=2', '72/2=36']
Exploring Operation: 97-36=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
40,
2,
8,
15
] | 54 | [
"15-8=7",
"2*7=14",
"40+14=54"
] | Current State: 54:[40, 2, 8, 15], Operations: []
Exploring Operation: 15-8=7, Resulting Numbers: [40, 2, 7]
Generated Node #2: [40, 2, 7] from Operation: 15-8=7
Current State: 54:[40, 2, 7], Operations: ['15-8=7']
Exploring Operation: 2*7=14, Resulting Numbers: [40, 14]
Generated Node #3: [40, 14] from Operation: 2*7=14
Current State: 54:[40, 14], Operations: ['15-8=7', '2*7=14']
Exploring Operation: 40+14=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
10,
42,
8,
13
] | 27 | [
"42-10=32",
"13-8=5",
"32-5=27"
] | Current State: 27:[10, 42, 8, 13], Operations: []
Exploring Operation: 42-10=32, Resulting Numbers: [8, 13, 32]
Generated Node #2: [8, 13, 32] from Operation: 42-10=32
Current State: 27:[8, 13, 32], Operations: ['42-10=32']
Exploring Operation: 13-8=5, Resulting Numbers: [32, 5]
Generated Node #3: [32, 5] from Operation: 13-8=5
Current State: 27:[32, 5], Operations: ['42-10=32', '13-8=5']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
21,
16,
61,
22
] | 44 | [
"21-16=5",
"61-22=39",
"5+39=44"
] | Current State: 44:[21, 16, 61, 22], Operations: []
Exploring Operation: 21-16=5, Resulting Numbers: [61, 22, 5]
Generated Node #2: [61, 22, 5] from Operation: 21-16=5
Current State: 44:[61, 22, 5], Operations: ['21-16=5']
Exploring Operation: 61-22=39, Resulting Numbers: [5, 39]
Generated Node #3: [5, 39] from Operation: 61-22=39
Current State: 44:[5, 39], Operations: ['21-16=5', '61-22=39']
Exploring Operation: 5+39=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
12,
9,
20,
76
] | 59 | [
"12-9=3",
"76-20=56",
"3+56=59"
] | Current State: 59:[12, 9, 20, 76], Operations: []
Exploring Operation: 12-9=3, Resulting Numbers: [20, 76, 3]
Generated Node #2: [20, 76, 3] from Operation: 12-9=3
Current State: 59:[20, 76, 3], Operations: ['12-9=3']
Exploring Operation: 76-20=56, Resulting Numbers: [3, 56]
Generated Node #3: [3, 56] from Operation: 76-20=56
Current State: 59:[3, 56], Operations: ['12-9=3', '76-20=56']
Exploring Operation: 3+56=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
82,
96,
70,
52
] | 56 | [
"82+96=178",
"70+52=122",
"178-122=56"
] | Current State: 56:[82, 96, 70, 52], Operations: []
Exploring Operation: 82+96=178, Resulting Numbers: [70, 52, 178]
Generated Node #2: [70, 52, 178] from Operation: 82+96=178
Current State: 56:[70, 52, 178], Operations: ['82+96=178']
Exploring Operation: 70+52=122, Resulting Numbers: [178, 122]
Generated Node #3: [178, 122] from Operation: 70+52=122
Current State: 56:[178, 122], Operations: ['82+96=178', '70+52=122']
Exploring Operation: 178-122=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
86,
88,
93,
26
] | 55 | [
"86+88=174",
"93+26=119",
"174-119=55"
] | Current State: 55:[86, 88, 93, 26], Operations: []
Exploring Operation: 86+88=174, Resulting Numbers: [93, 26, 174]
Generated Node #2: [93, 26, 174] from Operation: 86+88=174
Current State: 55:[93, 26, 174], Operations: ['86+88=174']
Exploring Operation: 93+26=119, Resulting Numbers: [174, 119]
Generated Node #3: [174, 119] from Operation: 93+26=119
Current State: 55:[174, 119], Operations: ['86+88=174', '93+26=119']
Exploring Operation: 174-119=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
91,
88,
98,
80
] | 83 | [
"98-88=10",
"80/10=8",
"91-8=83"
] | Current State: 83:[91, 88, 98, 80], Operations: []
Exploring Operation: 98-88=10, Resulting Numbers: [91, 80, 10]
Generated Node #2: [91, 80, 10] from Operation: 98-88=10
Current State: 83:[91, 80, 10], Operations: ['98-88=10']
Exploring Operation: 80/10=8, Resulting Numbers: [91, 8]
Generated Node #3: [91, 8] from Operation: 80/10=8
Current State: 83:[91, 8], Operations: ['98-88=10', '80/10=8']
Exploring Operation: 91-8=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
72,
84,
65,
22
] | 99 | [
"84-72=12",
"65+22=87",
"12+87=99"
] | Current State: 99:[72, 84, 65, 22], Operations: []
Exploring Operation: 84-72=12, Resulting Numbers: [65, 22, 12]
Generated Node #2: [65, 22, 12] from Operation: 84-72=12
Current State: 99:[65, 22, 12], Operations: ['84-72=12']
Exploring Operation: 65+22=87, Resulting Numbers: [12, 87]
Generated Node #3: [12, 87] from Operation: 65+22=87
Current State: 99:[12, 87], Operations: ['84-72=12', '65+22=87']
Exploring Operation: 12+87=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
65,
36,
3,
63
] | 75 | [
"65-63=2",
"36*2=72",
"3+72=75"
] | Current State: 75:[65, 36, 3, 63], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [36, 3, 2]
Generated Node #2: [36, 3, 2] from Operation: 65-63=2
Current State: 75:[36, 3, 2], Operations: ['65-63=2']
Exploring Operation: 36*2=72, Resulting Numbers: [3, 72]
Generated Node #3: [3, 72] from Operation: 36*2=72
Current State: 75:[3, 72], Operations: ['65-63=2', '36*2=72']
Exploring Operation: 3+72=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
32,
28,
7,
75
] | 39 | [
"75-32=43",
"28/7=4",
"43-4=39"
] | Current State: 39:[32, 28, 7, 75], Operations: []
Exploring Operation: 75-32=43, Resulting Numbers: [28, 7, 43]
Generated Node #2: [28, 7, 43] from Operation: 75-32=43
Current State: 39:[28, 7, 43], Operations: ['75-32=43']
Exploring Operation: 28/7=4, Resulting Numbers: [43, 4]
Generated Node #3: [43, 4] from Operation: 28/7=4
Current State: 39:[43, 4], Operations: ['75-32=43', '28/7=4']
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
27,
60,
10,
10
] | 32 | [
"60-27=33",
"10/10=1",
"33-1=32"
] | Current State: 32:[27, 60, 10, 10], Operations: []
Exploring Operation: 60-27=33, Resulting Numbers: [10, 10, 33]
Generated Node #2: [10, 10, 33] from Operation: 60-27=33
Current State: 32:[10, 10, 33], Operations: ['60-27=33']
Exploring Operation: 10/10=1, Resulting Numbers: [33, 1]
Generated Node #3: [33, 1] from Operation: 10/10=1
Current State: 32:[33, 1], Operations: ['60-27=33', '10/10=1']
Exploring Operation: 33-1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
87,
2,
2,
11
] | 37 | [
"87-2=85",
"85-11=74",
"74/2=37"
] | Current State: 37:[87, 2, 2, 11], Operations: []
Exploring Operation: 87-2=85, Resulting Numbers: [11, 85]
Generated Node #2: [11, 85] from Operation: 87-2=85
Current State: 37:[11, 85], Operations: ['87-2=85']
Exploring Operation: 85-11=74, Resulting Numbers: [74]
74,37 equal: Goal Reached
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
8,
92,
74,
4
] | 80 | [
"92-74=18",
"4*18=72",
"8+72=80"
] | Current State: 80:[8, 92, 74, 4], Operations: []
Exploring Operation: 92-74=18, Resulting Numbers: [8, 4, 18]
Generated Node #2: [8, 4, 18] from Operation: 92-74=18
Current State: 80:[8, 4, 18], Operations: ['92-74=18']
Exploring Operation: 4*18=72, Resulting Numbers: [8, 72]
Generated Node #3: [8, 72] from Operation: 4*18=72
Current State: 80:[8, 72], Operations: ['92-74=18', '4*18=72']
Exploring Operation: 8+72=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
80,
33,
2,
75
] | 30 | [
"80-33=47",
"2+75=77",
"77-47=30"
] | Current State: 30:[80, 33, 2, 75], Operations: []
Exploring Operation: 80-33=47, Resulting Numbers: [2, 75, 47]
Generated Node #2: [2, 75, 47] from Operation: 80-33=47
Current State: 30:[2, 75, 47], Operations: ['80-33=47']
Exploring Operation: 2+75=77, Resulting Numbers: [47, 77]
Generated Node #3: [47, 77] from Operation: 2+75=77
Current State: 30:[47, 77], Operations: ['80-33=47', '2+75=77']
Exploring Operation: 77-47=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
49,
11,
19,
31
] | 18 | [
"49*11=539",
"19+539=558",
"558/31=18"
] | Current State: 18:[49, 11, 19, 31], Operations: []
Exploring Operation: 49*11=539, Resulting Numbers: [19, 31, 539]
Generated Node #2: [19, 31, 539] from Operation: 49*11=539
Current State: 18:[19, 31, 539], Operations: ['49*11=539']
Exploring Operation: 19+539=558, Resulting Numbers: [31, 558]
Generated Node #3: [31, 558] from Operation: 19+539=558
Current State: 18:[31, 558], Operations: ['49*11=539', '19+539=558']
Exploring Operation: 558/31=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
43,
16,
95,
87
] | 85 | [
"95-87=8",
"16*8=128",
"128-43=85"
] | Current State: 85:[43, 16, 95, 87], Operations: []
Exploring Operation: 95-87=8, Resulting Numbers: [43, 16, 8]
Generated Node #2: [43, 16, 8] from Operation: 95-87=8
Current State: 85:[43, 16, 8], Operations: ['95-87=8']
Exploring Operation: 16*8=128, Resulting Numbers: [43, 128]
Generated Node #3: [43, 128] from Operation: 16*8=128
Current State: 85:[43, 128], Operations: ['95-87=8', '16*8=128']
Exploring Operation: 128-43=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
28,
93,
31,
20
] | 14 | [
"93-28=65",
"31+20=51",
"65-51=14"
] | Current State: 14:[28, 93, 31, 20], Operations: []
Exploring Operation: 93-28=65, Resulting Numbers: [31, 20, 65]
Generated Node #2: [31, 20, 65] from Operation: 93-28=65
Current State: 14:[31, 20, 65], Operations: ['93-28=65']
Exploring Operation: 31+20=51, Resulting Numbers: [65, 51]
Generated Node #3: [65, 51] from Operation: 31+20=51
Current State: 14:[65, 51], Operations: ['93-28=65', '31+20=51']
Exploring Operation: 65-51=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
8,
24,
10,
4
] | 14 | [
"24-8=16",
"16/4=4",
"10+4=14"
] | Current State: 14:[8, 24, 10, 4], Operations: []
Exploring Operation: 24-8=16, Resulting Numbers: [10, 4, 16]
Generated Node #2: [10, 4, 16] from Operation: 24-8=16
Current State: 14:[10, 4, 16], Operations: ['24-8=16']
Exploring Operation: 16/4=4, Resulting Numbers: [10, 4]
Generated Node #3: [10, 4] from Operation: 16/4=4
Current State: 14:[10, 4], Operations: ['24-8=16', '16/4=4']
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
68,
8,
50,
8
] | 19 | [
"68-50=18",
"8/8=1",
"18+1=19"
] | Current State: 19:[68, 8, 50, 8], Operations: []
Exploring Operation: 68-50=18, Resulting Numbers: [8, 8, 18]
Generated Node #2: [8, 8, 18] from Operation: 68-50=18
Current State: 19:[8, 8, 18], Operations: ['68-50=18']
Exploring Operation: 8/8=1, Resulting Numbers: [18, 1]
Generated Node #3: [18, 1] from Operation: 8/8=1
Current State: 19:[18, 1], Operations: ['68-50=18', '8/8=1']
Exploring Operation: 18+1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
36,
33,
43,
25
] | 65 | [
"36-33=3",
"43+25=68",
"68-3=65"
] | Current State: 65:[36, 33, 43, 25], Operations: []
Exploring Operation: 36-33=3, Resulting Numbers: [43, 25, 3]
Generated Node #2: [43, 25, 3] from Operation: 36-33=3
Current State: 65:[43, 25, 3], Operations: ['36-33=3']
Exploring Operation: 43+25=68, Resulting Numbers: [3, 68]
Generated Node #3: [3, 68] from Operation: 43+25=68
Current State: 65:[3, 68], Operations: ['36-33=3', '43+25=68']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
58,
5,
18,
99
] | 91 | [
"58-18=40",
"40/5=8",
"99-8=91"
] | Current State: 91:[58, 5, 18, 99], Operations: []
Exploring Operation: 58-18=40, Resulting Numbers: [5, 99, 40]
Generated Node #2: [5, 99, 40] from Operation: 58-18=40
Current State: 91:[5, 99, 40], Operations: ['58-18=40']
Exploring Operation: 40/5=8, Resulting Numbers: [99, 8]
Generated Node #3: [99, 8] from Operation: 40/5=8
Current State: 91:[99, 8], Operations: ['58-18=40', '40/5=8']
Exploring Operation: 99-8=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
53,
30,
87,
90
] | 43 | [
"90-87=3",
"30/3=10",
"53-10=43"
] | Current State: 43:[53, 30, 87, 90], Operations: []
Exploring Operation: 90-87=3, Resulting Numbers: [53, 30, 3]
Generated Node #2: [53, 30, 3] from Operation: 90-87=3
Current State: 43:[53, 30, 3], Operations: ['90-87=3']
Exploring Operation: 30/3=10, Resulting Numbers: [53, 10]
Generated Node #3: [53, 10] from Operation: 30/3=10
Current State: 43:[53, 10], Operations: ['90-87=3', '30/3=10']
Exploring Operation: 53-10=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
73,
15,
12,
16
] | 54 | [
"73-15=58",
"16-12=4",
"58-4=54"
] | Current State: 54:[73, 15, 12, 16], Operations: []
Exploring Operation: 73-15=58, Resulting Numbers: [12, 16, 58]
Generated Node #2: [12, 16, 58] from Operation: 73-15=58
Current State: 54:[12, 16, 58], Operations: ['73-15=58']
Exploring Operation: 16-12=4, Resulting Numbers: [58, 4]
Generated Node #3: [58, 4] from Operation: 16-12=4
Current State: 54:[58, 4], Operations: ['73-15=58', '16-12=4']
Exploring Operation: 58-4=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
32,
33,
5,
19
] | 16 | [
"32*19=608",
"33+5=38",
"608/38=16"
] | Current State: 16:[32, 33, 5, 19], Operations: []
Exploring Operation: 32*19=608, Resulting Numbers: [33, 5, 608]
Generated Node #2: [33, 5, 608] from Operation: 32*19=608
Current State: 16:[33, 5, 608], Operations: ['32*19=608']
Exploring Operation: 33+5=38, Resulting Numbers: [608, 38]
Generated Node #3: [608, 38] from Operation: 33+5=38
Current State: 16:[608, 38], Operations: ['32*19=608', '33+5=38']
Exploring Operation: 608/38=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
36,
83,
94,
88
] | 44 | [
"83-36=47",
"94/47=2",
"88/2=44"
] | Current State: 44:[36, 83, 94, 88], Operations: []
Exploring Operation: 83-36=47, Resulting Numbers: [94, 88, 47]
Generated Node #2: [94, 88, 47] from Operation: 83-36=47
Current State: 44:[94, 88, 47], Operations: ['83-36=47']
Exploring Operation: 94/47=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 94/47=2
Current State: 44:[88, 2], Operations: ['83-36=47', '94/47=2']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
46,
97,
3,
16
] | 19 | [
"97-16=81",
"81/3=27",
"46-27=19"
] | Current State: 19:[46, 97, 3, 16], Operations: []
Exploring Operation: 97-16=81, Resulting Numbers: [46, 3, 81]
Generated Node #2: [46, 3, 81] from Operation: 97-16=81
Current State: 19:[46, 3, 81], Operations: ['97-16=81']
Exploring Operation: 81/3=27, Resulting Numbers: [46, 27]
Generated Node #3: [46, 27] from Operation: 81/3=27
Current State: 19:[46, 27], Operations: ['97-16=81', '81/3=27']
Exploring Operation: 46-27=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
16,
44,
50,
7
] | 46 | [
"44-16=28",
"28/7=4",
"50-4=46"
] | Current State: 46:[16, 44, 50, 7], Operations: []
Exploring Operation: 44-16=28, Resulting Numbers: [50, 7, 28]
Generated Node #2: [50, 7, 28] from Operation: 44-16=28
Current State: 46:[50, 7, 28], Operations: ['44-16=28']
Exploring Operation: 28/7=4, Resulting Numbers: [50, 4]
Generated Node #3: [50, 4] from Operation: 28/7=4
Current State: 46:[50, 4], Operations: ['44-16=28', '28/7=4']
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
6,
37,
14,
20
] | 69 | [
"6*20=120",
"37+14=51",
"120-51=69"
] | Current State: 69:[6, 37, 14, 20], Operations: []
Exploring Operation: 6*20=120, Resulting Numbers: [37, 14, 120]
Generated Node #2: [37, 14, 120] from Operation: 6*20=120
Current State: 69:[37, 14, 120], Operations: ['6*20=120']
Exploring Operation: 37+14=51, Resulting Numbers: [120, 51]
Generated Node #3: [120, 51] from Operation: 37+14=51
Current State: 69:[120, 51], Operations: ['6*20=120', '37+14=51']
Exploring Operation: 120-51=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
12,
92,
78,
6
] | 16 | [
"12/6=2",
"92-78=14",
"2+14=16"
] | Current State: 16:[12, 92, 78, 6], Operations: []
Exploring Operation: 12/6=2, Resulting Numbers: [92, 78, 2]
Generated Node #2: [92, 78, 2] from Operation: 12/6=2
Current State: 16:[92, 78, 2], Operations: ['12/6=2']
Exploring Operation: 92-78=14, Resulting Numbers: [2, 14]
Generated Node #3: [2, 14] from Operation: 92-78=14
Current State: 16:[2, 14], Operations: ['12/6=2', '92-78=14']
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
48,
86,
9,
43
] | 66 | [
"86*9=774",
"774/43=18",
"48+18=66"
] | Current State: 66:[48, 86, 9, 43], Operations: []
Exploring Operation: 86*9=774, Resulting Numbers: [48, 43, 774]
Generated Node #2: [48, 43, 774] from Operation: 86*9=774
Current State: 66:[48, 43, 774], Operations: ['86*9=774']
Exploring Operation: 774/43=18, Resulting Numbers: [48, 18]
Generated Node #3: [48, 18] from Operation: 774/43=18
Current State: 66:[48, 18], Operations: ['86*9=774', '774/43=18']
Exploring Operation: 48+18=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
8,
32,
99,
17
] | 76 | [
"8+32=40",
"99+17=116",
"116-40=76"
] | Current State: 76:[8, 32, 99, 17], Operations: []
Exploring Operation: 8+32=40, Resulting Numbers: [99, 17, 40]
Generated Node #2: [99, 17, 40] from Operation: 8+32=40
Current State: 76:[99, 17, 40], Operations: ['8+32=40']
Exploring Operation: 99+17=116, Resulting Numbers: [40, 116]
Generated Node #3: [40, 116] from Operation: 99+17=116
Current State: 76:[40, 116], Operations: ['8+32=40', '99+17=116']
Exploring Operation: 116-40=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
31,
57,
2,
56
] | 80 | [
"57-31=26",
"56-2=54",
"26+54=80"
] | Current State: 80:[31, 57, 2, 56], Operations: []
Exploring Operation: 57-31=26, Resulting Numbers: [2, 56, 26]
Generated Node #2: [2, 56, 26] from Operation: 57-31=26
Current State: 80:[2, 56, 26], Operations: ['57-31=26']
Exploring Operation: 56-2=54, Resulting Numbers: [26, 54]
Generated Node #3: [26, 54] from Operation: 56-2=54
Current State: 80:[26, 54], Operations: ['57-31=26', '56-2=54']
Exploring Operation: 26+54=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
68,
39,
96,
12
] | 21 | [
"68-39=29",
"96/12=8",
"29-8=21"
] | Current State: 21:[68, 39, 96, 12], Operations: []
Exploring Operation: 68-39=29, Resulting Numbers: [96, 12, 29]
Generated Node #2: [96, 12, 29] from Operation: 68-39=29
Current State: 21:[96, 12, 29], Operations: ['68-39=29']
Exploring Operation: 96/12=8, Resulting Numbers: [29, 8]
Generated Node #3: [29, 8] from Operation: 96/12=8
Current State: 21:[29, 8], Operations: ['68-39=29', '96/12=8']
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
15,
17,
26,
83
] | 52 | [
"26-17=9",
"15*9=135",
"135-83=52"
] | Current State: 52:[15, 17, 26, 83], Operations: []
Exploring Operation: 26-17=9, Resulting Numbers: [15, 83, 9]
Generated Node #2: [15, 83, 9] from Operation: 26-17=9
Current State: 52:[15, 83, 9], Operations: ['26-17=9']
Exploring Operation: 15*9=135, Resulting Numbers: [83, 135]
Generated Node #3: [83, 135] from Operation: 15*9=135
Current State: 52:[83, 135], Operations: ['26-17=9', '15*9=135']
Exploring Operation: 135-83=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
40,
55,
84,
58
] | 20 | [
"84-55=29",
"40*29=1160",
"1160/58=20"
] | Current State: 20:[40, 55, 84, 58], Operations: []
Exploring Operation: 84-55=29, Resulting Numbers: [40, 58, 29]
Generated Node #2: [40, 58, 29] from Operation: 84-55=29
Current State: 20:[40, 58, 29], Operations: ['84-55=29']
Exploring Operation: 40*29=1160, Resulting Numbers: [58, 1160]
Generated Node #3: [58, 1160] from Operation: 40*29=1160
Current State: 20:[58, 1160], Operations: ['84-55=29', '40*29=1160']
Exploring Operation: 1160/58=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
58,
89,
2,
25
] | 37 | [
"89-58=31",
"2*31=62",
"62-25=37"
] | Current State: 37:[58, 89, 2, 25], Operations: []
Exploring Operation: 89-58=31, Resulting Numbers: [2, 25, 31]
Generated Node #2: [2, 25, 31] from Operation: 89-58=31
Current State: 37:[2, 25, 31], Operations: ['89-58=31']
Exploring Operation: 2*31=62, Resulting Numbers: [25, 62]
Generated Node #3: [25, 62] from Operation: 2*31=62
Current State: 37:[25, 62], Operations: ['89-58=31', '2*31=62']
Exploring Operation: 62-25=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
55,
20,
7,
21
] | 21 | [
"55-20=35",
"21-7=14",
"35-14=21"
] | Current State: 21:[55, 20, 7, 21], Operations: []
Exploring Operation: 55-20=35, Resulting Numbers: [7, 21, 35]
Generated Node #2: [7, 21, 35] from Operation: 55-20=35
Current State: 21:[7, 21, 35], Operations: ['55-20=35']
Exploring Operation: 21-7=14, Resulting Numbers: [35, 14]
Generated Node #3: [35, 14] from Operation: 21-7=14
Current State: 21:[35, 14], Operations: ['55-20=35', '21-7=14']
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
96,
56,
90,
6
] | 92 | [
"96-90=6",
"6*6=36",
"56+36=92"
] | Current State: 92:[96, 56, 90, 6], Operations: []
Exploring Operation: 96-90=6, Resulting Numbers: [56, 6, 6]
Generated Node #2: [56, 6, 6] from Operation: 96-90=6
Current State: 92:[56, 6, 6], Operations: ['96-90=6']
Exploring Operation: 6*6=36, Resulting Numbers: [56, 36]
Generated Node #3: [56, 36] from Operation: 6*6=36
Current State: 92:[56, 36], Operations: ['96-90=6', '6*6=36']
Exploring Operation: 56+36=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
78,
2,
84,
20
] | 56 | [
"78+20=98",
"84/2=42",
"98-42=56"
] | Current State: 56:[78, 2, 84, 20], Operations: []
Exploring Operation: 78+20=98, Resulting Numbers: [2, 84, 98]
Generated Node #2: [2, 84, 98] from Operation: 78+20=98
Current State: 56:[2, 84, 98], Operations: ['78+20=98']
Exploring Operation: 84/2=42, Resulting Numbers: [98, 42]
Generated Node #3: [98, 42] from Operation: 84/2=42
Current State: 56:[98, 42], Operations: ['78+20=98', '84/2=42']
Exploring Operation: 98-42=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
6,
57,
71,
53
] | 60 | [
"71-53=18",
"18/6=3",
"57+3=60"
] | Current State: 60:[6, 57, 71, 53], Operations: []
Exploring Operation: 71-53=18, Resulting Numbers: [6, 57, 18]
Generated Node #2: [6, 57, 18] from Operation: 71-53=18
Current State: 60:[6, 57, 18], Operations: ['71-53=18']
Exploring Operation: 18/6=3, Resulting Numbers: [57, 3]
Generated Node #3: [57, 3] from Operation: 18/6=3
Current State: 60:[57, 3], Operations: ['71-53=18', '18/6=3']
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
71,
54,
69,
17
] | 35 | [
"71-54=17",
"69-17=52",
"52-17=35"
] | Current State: 35:[71, 54, 69, 17], Operations: []
Exploring Operation: 71-54=17, Resulting Numbers: [69, 17, 17]
Generated Node #2: [69, 17, 17] from Operation: 71-54=17
Current State: 35:[69, 17, 17], Operations: ['71-54=17']
Exploring Operation: 69-17=52, Resulting Numbers: [52]
52,35 equal: Goal Reached
Exploring Operation: 52-17=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
64,
32,
49,
11
] | 87 | [
"64/32=2",
"49*2=98",
"98-11=87"
] | Current State: 87:[64, 32, 49, 11], Operations: []
Exploring Operation: 64/32=2, Resulting Numbers: [49, 11, 2]
Generated Node #2: [49, 11, 2] from Operation: 64/32=2
Current State: 87:[49, 11, 2], Operations: ['64/32=2']
Exploring Operation: 49*2=98, Resulting Numbers: [11, 98]
Generated Node #3: [11, 98] from Operation: 49*2=98
Current State: 87:[11, 98], Operations: ['64/32=2', '49*2=98']
Exploring Operation: 98-11=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
7,
29,
82,
58
] | 34 | [
"29*82=2378",
"2378/58=41",
"41-7=34"
] | Current State: 34:[7, 29, 82, 58], Operations: []
Exploring Operation: 29*82=2378, Resulting Numbers: [7, 58, 2378]
Generated Node #2: [7, 58, 2378] from Operation: 29*82=2378
Current State: 34:[7, 58, 2378], Operations: ['29*82=2378']
Exploring Operation: 2378/58=41, Resulting Numbers: [7, 41]
Generated Node #3: [7, 41] from Operation: 2378/58=41
Current State: 34:[7, 41], Operations: ['29*82=2378', '2378/58=41']
Exploring Operation: 41-7=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
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