nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
2,
99,
76,
43
] | 22 | [
"99-2=97",
"76+43=119",
"119-97=22"
] | Current State: 22:[2, 99, 76, 43], Operations: []
Exploring Operation: 99-2=97, Resulting Numbers: [76, 43, 97]
Generated Node #2: [76, 43, 97] from Operation: 99-2=97
Current State: 22:[76, 43, 97], Operations: ['99-2=97']
Exploring Operation: 76+43=119, Resulting Numbers: [97, 119]
Generated Node #3: [97, 119] from Operation: 76+43=119
Current State: 22:[97, 119], Operations: ['99-2=97', '76+43=119']
Exploring Operation: 119-97=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
91,
78,
65,
73
] | 66 | [
"78-65=13",
"91/13=7",
"73-7=66"
] | Current State: 66:[91, 78, 65, 73], Operations: []
Exploring Operation: 78-65=13, Resulting Numbers: [91, 73, 13]
Generated Node #2: [91, 73, 13] from Operation: 78-65=13
Current State: 66:[91, 73, 13], Operations: ['78-65=13']
Exploring Operation: 91/13=7, Resulting Numbers: [73, 7]
Generated Node #3: [73, 7] from Operation: 91/13=7
Current State: 66:[73, 7], Operations: ['78-65=13', '91/13=7']
Exploring Operation: 73-7=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
14,
16,
52,
10
] | 94 | [
"16-14=2",
"52*2=104",
"104-10=94"
] | Current State: 94:[14, 16, 52, 10], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [52, 10, 2]
Generated Node #2: [52, 10, 2] from Operation: 16-14=2
Current State: 94:[52, 10, 2], Operations: ['16-14=2']
Exploring Operation: 52*2=104, Resulting Numbers: [10, 104]
Generated Node #3: [10, 104] from Operation: 52*2=104
Current State: 94:[10, 104], Operations: ['16-14=2', '52*2=104']
Exploring Operation: 104-10=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
86,
86,
29,
85
] | 56 | [
"86-86=0",
"85-29=56",
"0+56=56"
] | Current State: 56:[86, 86, 29, 85], Operations: []
Exploring Operation: 86-86=0, Resulting Numbers: [29, 85, 0]
Generated Node #2: [29, 85, 0] from Operation: 86-86=0
Current State: 56:[29, 85, 0], Operations: ['86-86=0']
Exploring Operation: 85-29=56, Resulting Numbers: [0, 56]
Generated Node #3: [0, 56] from Operation: 85-29=56
Current State: 56:[0, 56], Operations: ['86-86=0', '85-29=56']
Exploring Operation: 0+56=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
17,
16,
8,
58
] | 62 | [
"17*8=136",
"16+58=74",
"136-74=62"
] | Current State: 62:[17, 16, 8, 58], Operations: []
Exploring Operation: 17*8=136, Resulting Numbers: [16, 58, 136]
Generated Node #2: [16, 58, 136] from Operation: 17*8=136
Current State: 62:[16, 58, 136], Operations: ['17*8=136']
Exploring Operation: 16+58=74, Resulting Numbers: [136, 74]
Generated Node #3: [136, 74] from Operation: 16+58=74
Current State: 62:[136, 74], Operations: ['17*8=136', '16+58=74']
Exploring Operation: 136-74=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
23,
60,
9,
15
] | 18 | [
"23-9=14",
"60/15=4",
"14+4=18"
] | Current State: 18:[23, 60, 9, 15], Operations: []
Exploring Operation: 23-9=14, Resulting Numbers: [60, 15, 14]
Generated Node #2: [60, 15, 14] from Operation: 23-9=14
Current State: 18:[60, 15, 14], Operations: ['23-9=14']
Exploring Operation: 60/15=4, Resulting Numbers: [14, 4]
Generated Node #3: [14, 4] from Operation: 60/15=4
Current State: 18:[14, 4], Operations: ['23-9=14', '60/15=4']
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
41,
26,
93,
30
] | 15 | [
"93-41=52",
"26*30=780",
"780/52=15"
] | Current State: 15:[41, 26, 93, 30], Operations: []
Exploring Operation: 93-41=52, Resulting Numbers: [26, 30, 52]
Generated Node #2: [26, 30, 52] from Operation: 93-41=52
Current State: 15:[26, 30, 52], Operations: ['93-41=52']
Exploring Operation: 26*30=780, Resulting Numbers: [52, 780]
Generated Node #3: [52, 780] from Operation: 26*30=780
Current State: 15:[52, 780], Operations: ['93-41=52', '26*30=780']
Exploring Operation: 780/52=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
56,
43,
69,
31
] | 62 | [
"43+69=112",
"112/56=2",
"31*2=62"
] | Current State: 62:[56, 43, 69, 31], Operations: []
Exploring Operation: 43+69=112, Resulting Numbers: [56, 31, 112]
Generated Node #2: [56, 31, 112] from Operation: 43+69=112
Current State: 62:[56, 31, 112], Operations: ['43+69=112']
Exploring Operation: 112/56=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 112/56=2
Current State: 62:[31, 2], Operations: ['43+69=112', '112/56=2']
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
75,
67,
53,
65
] | 44 | [
"75-53=22",
"67-65=2",
"22*2=44"
] | Current State: 44:[75, 67, 53, 65], Operations: []
Exploring Operation: 75-53=22, Resulting Numbers: [67, 65, 22]
Generated Node #2: [67, 65, 22] from Operation: 75-53=22
Current State: 44:[67, 65, 22], Operations: ['75-53=22']
Exploring Operation: 67-65=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 67-65=2
Current State: 44:[22, 2], Operations: ['75-53=22', '67-65=2']
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
52,
23,
33,
23
] | 85 | [
"52+23=75",
"33-23=10",
"75+10=85"
] | Current State: 85:[52, 23, 33, 23], Operations: []
Exploring Operation: 52+23=75, Resulting Numbers: [33, 75]
Generated Node #2: [33, 75] from Operation: 52+23=75
Current State: 85:[33, 75], Operations: ['52+23=75']
Exploring Operation: 33-23=10, Resulting Numbers: [75, 10]
Generated Node #3: [75, 10] from Operation: 33-23=10
Current State: 85:[75, 10], Operations: ['52+23=75', '33-23=10']
Exploring Operation: 75+10=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
93,
68,
3,
21
] | 44 | [
"93-21=72",
"72/3=24",
"68-24=44"
] | Current State: 44:[93, 68, 3, 21], Operations: []
Exploring Operation: 93-21=72, Resulting Numbers: [68, 3, 72]
Generated Node #2: [68, 3, 72] from Operation: 93-21=72
Current State: 44:[68, 3, 72], Operations: ['93-21=72']
Exploring Operation: 72/3=24, Resulting Numbers: [68, 24]
Generated Node #3: [68, 24] from Operation: 72/3=24
Current State: 44:[68, 24], Operations: ['93-21=72', '72/3=24']
Exploring Operation: 68-24=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
65,
37,
46,
34
] | 73 | [
"37-34=3",
"46*3=138",
"138-65=73"
] | Current State: 73:[65, 37, 46, 34], Operations: []
Exploring Operation: 37-34=3, Resulting Numbers: [65, 46, 3]
Generated Node #2: [65, 46, 3] from Operation: 37-34=3
Current State: 73:[65, 46, 3], Operations: ['37-34=3']
Exploring Operation: 46*3=138, Resulting Numbers: [65, 138]
Generated Node #3: [65, 138] from Operation: 46*3=138
Current State: 73:[65, 138], Operations: ['37-34=3', '46*3=138']
Exploring Operation: 138-65=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
2,
11,
21,
99
] | 66 | [
"11*21=231",
"231-99=132",
"132/2=66"
] | Current State: 66:[2, 11, 21, 99], Operations: []
Exploring Operation: 11*21=231, Resulting Numbers: [2, 99, 231]
Generated Node #2: [2, 99, 231] from Operation: 11*21=231
Current State: 66:[2, 99, 231], Operations: ['11*21=231']
Exploring Operation: 231-99=132, Resulting Numbers: [2, 132]
Generated Node #3: [2, 132] from Operation: 231-99=132
Current State: 66:[2, 132], Operations: ['11*21=231', '231-99=132']
Exploring Operation: 132/2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
36,
60,
81,
26
] | 87 | [
"36-26=10",
"60/10=6",
"81+6=87"
] | Current State: 87:[36, 60, 81, 26], Operations: []
Exploring Operation: 36-26=10, Resulting Numbers: [60, 81, 10]
Generated Node #2: [60, 81, 10] from Operation: 36-26=10
Current State: 87:[60, 81, 10], Operations: ['36-26=10']
Exploring Operation: 60/10=6, Resulting Numbers: [81, 6]
Generated Node #3: [81, 6] from Operation: 60/10=6
Current State: 87:[81, 6], Operations: ['36-26=10', '60/10=6']
Exploring Operation: 81+6=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
77,
86,
2,
42
] | 11 | [
"86-42=44",
"2*44=88",
"88-77=11"
] | Current State: 11:[77, 86, 2, 42], Operations: []
Exploring Operation: 86-42=44, Resulting Numbers: [77, 2, 44]
Generated Node #2: [77, 2, 44] from Operation: 86-42=44
Current State: 11:[77, 2, 44], Operations: ['86-42=44']
Exploring Operation: 2*44=88, Resulting Numbers: [77, 88]
Generated Node #3: [77, 88] from Operation: 2*44=88
Current State: 11:[77, 88], Operations: ['86-42=44', '2*44=88']
Exploring Operation: 88-77=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
2,
38,
36,
34
] | 51 | [
"38/2=19",
"36+34=70",
"70-19=51"
] | Current State: 51:[2, 38, 36, 34], Operations: []
Exploring Operation: 38/2=19, Resulting Numbers: [36, 34, 19]
Generated Node #2: [36, 34, 19] from Operation: 38/2=19
Current State: 51:[36, 34, 19], Operations: ['38/2=19']
Exploring Operation: 36+34=70, Resulting Numbers: [19, 70]
Generated Node #3: [19, 70] from Operation: 36+34=70
Current State: 51:[19, 70], Operations: ['38/2=19', '36+34=70']
Exploring Operation: 70-19=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
86,
99,
11,
21
] | 88 | [
"99-86=13",
"21-13=8",
"11*8=88"
] | Current State: 88:[86, 99, 11, 21], Operations: []
Exploring Operation: 99-86=13, Resulting Numbers: [11, 21, 13]
Generated Node #2: [11, 21, 13] from Operation: 99-86=13
Current State: 88:[11, 21, 13], Operations: ['99-86=13']
Exploring Operation: 21-13=8, Resulting Numbers: [11, 8]
Generated Node #3: [11, 8] from Operation: 21-13=8
Current State: 88:[11, 8], Operations: ['99-86=13', '21-13=8']
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
3,
71,
32,
17
] | 40 | [
"71+32=103",
"17+103=120",
"120/3=40"
] | Current State: 40:[3, 71, 32, 17], Operations: []
Exploring Operation: 71+32=103, Resulting Numbers: [3, 17, 103]
Generated Node #2: [3, 17, 103] from Operation: 71+32=103
Current State: 40:[3, 17, 103], Operations: ['71+32=103']
Exploring Operation: 17+103=120, Resulting Numbers: [3, 120]
Generated Node #3: [3, 120] from Operation: 17+103=120
Current State: 40:[3, 120], Operations: ['71+32=103', '17+103=120']
Exploring Operation: 120/3=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
18,
30,
57,
4
] | 65 | [
"30-18=12",
"57-4=53",
"12+53=65"
] | Current State: 65:[18, 30, 57, 4], Operations: []
Exploring Operation: 30-18=12, Resulting Numbers: [57, 4, 12]
Generated Node #2: [57, 4, 12] from Operation: 30-18=12
Current State: 65:[57, 4, 12], Operations: ['30-18=12']
Exploring Operation: 57-4=53, Resulting Numbers: [12, 53]
Generated Node #3: [12, 53] from Operation: 57-4=53
Current State: 65:[12, 53], Operations: ['30-18=12', '57-4=53']
Exploring Operation: 12+53=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
39,
11,
30,
74
] | 37 | [
"39-11=28",
"30-28=2",
"74/2=37"
] | Current State: 37:[39, 11, 30, 74], Operations: []
Exploring Operation: 39-11=28, Resulting Numbers: [30, 74, 28]
Generated Node #2: [30, 74, 28] from Operation: 39-11=28
Current State: 37:[30, 74, 28], Operations: ['39-11=28']
Exploring Operation: 30-28=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 30-28=2
Current State: 37:[74, 2], Operations: ['39-11=28', '30-28=2']
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
70,
56,
13,
62
] | 91 | [
"70-62=8",
"56*13=728",
"728/8=91"
] | Current State: 91:[70, 56, 13, 62], Operations: []
Exploring Operation: 70-62=8, Resulting Numbers: [56, 13, 8]
Generated Node #2: [56, 13, 8] from Operation: 70-62=8
Current State: 91:[56, 13, 8], Operations: ['70-62=8']
Exploring Operation: 56*13=728, Resulting Numbers: [8, 728]
Generated Node #3: [8, 728] from Operation: 56*13=728
Current State: 91:[8, 728], Operations: ['70-62=8', '56*13=728']
Exploring Operation: 728/8=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
12,
35,
14,
52
] | 91 | [
"35-14=21",
"52*21=1092",
"1092/12=91"
] | Current State: 91:[12, 35, 14, 52], Operations: []
Exploring Operation: 35-14=21, Resulting Numbers: [12, 52, 21]
Generated Node #2: [12, 52, 21] from Operation: 35-14=21
Current State: 91:[12, 52, 21], Operations: ['35-14=21']
Exploring Operation: 52*21=1092, Resulting Numbers: [12, 1092]
Generated Node #3: [12, 1092] from Operation: 52*21=1092
Current State: 91:[12, 1092], Operations: ['35-14=21', '52*21=1092']
Exploring Operation: 1092/12=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
63,
7,
89,
2
] | 30 | [
"63*2=126",
"7+89=96",
"126-96=30"
] | Current State: 30:[63, 7, 89, 2], Operations: []
Exploring Operation: 63*2=126, Resulting Numbers: [7, 89, 126]
Generated Node #2: [7, 89, 126] from Operation: 63*2=126
Current State: 30:[7, 89, 126], Operations: ['63*2=126']
Exploring Operation: 7+89=96, Resulting Numbers: [126, 96]
Generated Node #3: [126, 96] from Operation: 7+89=96
Current State: 30:[126, 96], Operations: ['63*2=126', '7+89=96']
Exploring Operation: 126-96=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
43,
3,
5,
46
] | 91 | [
"43-3=40",
"5+46=51",
"40+51=91"
] | Current State: 91:[43, 3, 5, 46], Operations: []
Exploring Operation: 43-3=40, Resulting Numbers: [5, 46, 40]
Generated Node #2: [5, 46, 40] from Operation: 43-3=40
Current State: 91:[5, 46, 40], Operations: ['43-3=40']
Exploring Operation: 5+46=51, Resulting Numbers: [40, 51]
Generated Node #3: [40, 51] from Operation: 5+46=51
Current State: 91:[40, 51], Operations: ['43-3=40', '5+46=51']
Exploring Operation: 40+51=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
47,
2,
48,
90
] | 96 | [
"47-2=45",
"48*90=4320",
"4320/45=96"
] | Current State: 96:[47, 2, 48, 90], Operations: []
Exploring Operation: 47-2=45, Resulting Numbers: [48, 90, 45]
Generated Node #2: [48, 90, 45] from Operation: 47-2=45
Current State: 96:[48, 90, 45], Operations: ['47-2=45']
Exploring Operation: 48*90=4320, Resulting Numbers: [45, 4320]
Generated Node #3: [45, 4320] from Operation: 48*90=4320
Current State: 96:[45, 4320], Operations: ['47-2=45', '48*90=4320']
Exploring Operation: 4320/45=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
60,
11,
65,
48
] | 10 | [
"65-11=54",
"54-48=6",
"60/6=10"
] | Current State: 10:[60, 11, 65, 48], Operations: []
Exploring Operation: 65-11=54, Resulting Numbers: [60, 48, 54]
Generated Node #2: [60, 48, 54] from Operation: 65-11=54
Current State: 10:[60, 48, 54], Operations: ['65-11=54']
Exploring Operation: 54-48=6, Resulting Numbers: [60, 6]
Generated Node #3: [60, 6] from Operation: 54-48=6
Current State: 10:[60, 6], Operations: ['65-11=54', '54-48=6']
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
83,
43,
49,
66
] | 11 | [
"83+43=126",
"49+66=115",
"126-115=11"
] | Current State: 11:[83, 43, 49, 66], Operations: []
Exploring Operation: 83+43=126, Resulting Numbers: [49, 66, 126]
Generated Node #2: [49, 66, 126] from Operation: 83+43=126
Current State: 11:[49, 66, 126], Operations: ['83+43=126']
Exploring Operation: 49+66=115, Resulting Numbers: [126, 115]
Generated Node #3: [126, 115] from Operation: 49+66=115
Current State: 11:[126, 115], Operations: ['83+43=126', '49+66=115']
Exploring Operation: 126-115=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
15,
13,
33,
17
] | 67 | [
"15-13=2",
"17*2=34",
"33+34=67"
] | Current State: 67:[15, 13, 33, 17], Operations: []
Exploring Operation: 15-13=2, Resulting Numbers: [33, 17, 2]
Generated Node #2: [33, 17, 2] from Operation: 15-13=2
Current State: 67:[33, 17, 2], Operations: ['15-13=2']
Exploring Operation: 17*2=34, Resulting Numbers: [33, 34]
Generated Node #3: [33, 34] from Operation: 17*2=34
Current State: 67:[33, 34], Operations: ['15-13=2', '17*2=34']
Exploring Operation: 33+34=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
70,
71,
93,
65
] | 29 | [
"71-70=1",
"93-65=28",
"1+28=29"
] | Current State: 29:[70, 71, 93, 65], Operations: []
Exploring Operation: 71-70=1, Resulting Numbers: [93, 65, 1]
Generated Node #2: [93, 65, 1] from Operation: 71-70=1
Current State: 29:[93, 65, 1], Operations: ['71-70=1']
Exploring Operation: 93-65=28, Resulting Numbers: [1, 28]
Generated Node #3: [1, 28] from Operation: 93-65=28
Current State: 29:[1, 28], Operations: ['71-70=1', '93-65=28']
Exploring Operation: 1+28=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
84,
19,
36,
2
] | 97 | [
"84/2=42",
"19+36=55",
"42+55=97"
] | Current State: 97:[84, 19, 36, 2], Operations: []
Exploring Operation: 84/2=42, Resulting Numbers: [19, 36, 42]
Generated Node #2: [19, 36, 42] from Operation: 84/2=42
Current State: 97:[19, 36, 42], Operations: ['84/2=42']
Exploring Operation: 19+36=55, Resulting Numbers: [42, 55]
Generated Node #3: [42, 55] from Operation: 19+36=55
Current State: 97:[42, 55], Operations: ['84/2=42', '19+36=55']
Exploring Operation: 42+55=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
70,
50,
23,
49
] | 58 | [
"50*49=2450",
"2450/70=35",
"23+35=58"
] | Current State: 58:[70, 50, 23, 49], Operations: []
Exploring Operation: 50*49=2450, Resulting Numbers: [70, 23, 2450]
Generated Node #2: [70, 23, 2450] from Operation: 50*49=2450
Current State: 58:[70, 23, 2450], Operations: ['50*49=2450']
Exploring Operation: 2450/70=35, Resulting Numbers: [23, 35]
Generated Node #3: [23, 35] from Operation: 2450/70=35
Current State: 58:[23, 35], Operations: ['50*49=2450', '2450/70=35']
Exploring Operation: 23+35=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
99,
5,
37,
65
] | 76 | [
"99+5=104",
"65-37=28",
"104-28=76"
] | Current State: 76:[99, 5, 37, 65], Operations: []
Exploring Operation: 99+5=104, Resulting Numbers: [37, 65, 104]
Generated Node #2: [37, 65, 104] from Operation: 99+5=104
Current State: 76:[37, 65, 104], Operations: ['99+5=104']
Exploring Operation: 65-37=28, Resulting Numbers: [104, 28]
Generated Node #3: [104, 28] from Operation: 65-37=28
Current State: 76:[104, 28], Operations: ['99+5=104', '65-37=28']
Exploring Operation: 104-28=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
1,
65,
45,
56
] | 55 | [
"1+65=66",
"56-45=11",
"66-11=55"
] | Current State: 55:[1, 65, 45, 56], Operations: []
Exploring Operation: 1+65=66, Resulting Numbers: [45, 56, 66]
Generated Node #2: [45, 56, 66] from Operation: 1+65=66
Current State: 55:[45, 56, 66], Operations: ['1+65=66']
Exploring Operation: 56-45=11, Resulting Numbers: [66, 11]
Generated Node #3: [66, 11] from Operation: 56-45=11
Current State: 55:[66, 11], Operations: ['1+65=66', '56-45=11']
Exploring Operation: 66-11=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
16,
49,
25,
64
] | 56 | [
"49-16=33",
"25+64=89",
"89-33=56"
] | Current State: 56:[16, 49, 25, 64], Operations: []
Exploring Operation: 49-16=33, Resulting Numbers: [25, 64, 33]
Generated Node #2: [25, 64, 33] from Operation: 49-16=33
Current State: 56:[25, 64, 33], Operations: ['49-16=33']
Exploring Operation: 25+64=89, Resulting Numbers: [33, 89]
Generated Node #3: [33, 89] from Operation: 25+64=89
Current State: 56:[33, 89], Operations: ['49-16=33', '25+64=89']
Exploring Operation: 89-33=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
64,
80,
99,
98
] | 15 | [
"80-64=16",
"99-98=1",
"16-1=15"
] | Current State: 15:[64, 80, 99, 98], Operations: []
Exploring Operation: 80-64=16, Resulting Numbers: [99, 98, 16]
Generated Node #2: [99, 98, 16] from Operation: 80-64=16
Current State: 15:[99, 98, 16], Operations: ['80-64=16']
Exploring Operation: 99-98=1, Resulting Numbers: [16, 1]
Generated Node #3: [16, 1] from Operation: 99-98=1
Current State: 15:[16, 1], Operations: ['80-64=16', '99-98=1']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
51,
3,
26,
45
] | 73 | [
"51+3=54",
"45-26=19",
"54+19=73"
] | Current State: 73:[51, 3, 26, 45], Operations: []
Exploring Operation: 51+3=54, Resulting Numbers: [26, 45, 54]
Generated Node #2: [26, 45, 54] from Operation: 51+3=54
Current State: 73:[26, 45, 54], Operations: ['51+3=54']
Exploring Operation: 45-26=19, Resulting Numbers: [54, 19]
Generated Node #3: [54, 19] from Operation: 45-26=19
Current State: 73:[54, 19], Operations: ['51+3=54', '45-26=19']
Exploring Operation: 54+19=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
30,
47,
99,
62
] | 84 | [
"30+47=77",
"99+62=161",
"161-77=84"
] | Current State: 84:[30, 47, 99, 62], Operations: []
Exploring Operation: 30+47=77, Resulting Numbers: [99, 62, 77]
Generated Node #2: [99, 62, 77] from Operation: 30+47=77
Current State: 84:[99, 62, 77], Operations: ['30+47=77']
Exploring Operation: 99+62=161, Resulting Numbers: [77, 161]
Generated Node #3: [77, 161] from Operation: 99+62=161
Current State: 84:[77, 161], Operations: ['30+47=77', '99+62=161']
Exploring Operation: 161-77=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
50,
15,
5,
43
] | 46 | [
"50-5=45",
"45/15=3",
"43+3=46"
] | Current State: 46:[50, 15, 5, 43], Operations: []
Exploring Operation: 50-5=45, Resulting Numbers: [15, 43, 45]
Generated Node #2: [15, 43, 45] from Operation: 50-5=45
Current State: 46:[15, 43, 45], Operations: ['50-5=45']
Exploring Operation: 45/15=3, Resulting Numbers: [43, 3]
Generated Node #3: [43, 3] from Operation: 45/15=3
Current State: 46:[43, 3], Operations: ['50-5=45', '45/15=3']
Exploring Operation: 43+3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
27,
4,
92,
70
] | 74 | [
"27-4=23",
"92/23=4",
"70+4=74"
] | Current State: 74:[27, 4, 92, 70], Operations: []
Exploring Operation: 27-4=23, Resulting Numbers: [92, 70, 23]
Generated Node #2: [92, 70, 23] from Operation: 27-4=23
Current State: 74:[92, 70, 23], Operations: ['27-4=23']
Exploring Operation: 92/23=4, Resulting Numbers: [70, 4]
Generated Node #3: [70, 4] from Operation: 92/23=4
Current State: 74:[70, 4], Operations: ['27-4=23', '92/23=4']
Exploring Operation: 70+4=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
2,
65,
29,
30
] | 42 | [
"65-29=36",
"2*36=72",
"72-30=42"
] | Current State: 42:[2, 65, 29, 30], Operations: []
Exploring Operation: 65-29=36, Resulting Numbers: [2, 30, 36]
Generated Node #2: [2, 30, 36] from Operation: 65-29=36
Current State: 42:[2, 30, 36], Operations: ['65-29=36']
Exploring Operation: 2*36=72, Resulting Numbers: [30, 72]
Generated Node #3: [30, 72] from Operation: 2*36=72
Current State: 42:[30, 72], Operations: ['65-29=36', '2*36=72']
Exploring Operation: 72-30=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
26,
2,
85,
74
] | 63 | [
"26*2=52",
"85-74=11",
"52+11=63"
] | Current State: 63:[26, 2, 85, 74], Operations: []
Exploring Operation: 26*2=52, Resulting Numbers: [85, 74, 52]
Generated Node #2: [85, 74, 52] from Operation: 26*2=52
Current State: 63:[85, 74, 52], Operations: ['26*2=52']
Exploring Operation: 85-74=11, Resulting Numbers: [52, 11]
Generated Node #3: [52, 11] from Operation: 85-74=11
Current State: 63:[52, 11], Operations: ['26*2=52', '85-74=11']
Exploring Operation: 52+11=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
16,
58,
75,
47
] | 46 | [
"16+58=74",
"75-47=28",
"74-28=46"
] | Current State: 46:[16, 58, 75, 47], Operations: []
Exploring Operation: 16+58=74, Resulting Numbers: [75, 47, 74]
Generated Node #2: [75, 47, 74] from Operation: 16+58=74
Current State: 46:[75, 47, 74], Operations: ['16+58=74']
Exploring Operation: 75-47=28, Resulting Numbers: [74, 28]
Generated Node #3: [74, 28] from Operation: 75-47=28
Current State: 46:[74, 28], Operations: ['16+58=74', '75-47=28']
Exploring Operation: 74-28=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
61,
49,
29,
35
] | 46 | [
"61+49=110",
"29+35=64",
"110-64=46"
] | Current State: 46:[61, 49, 29, 35], Operations: []
Exploring Operation: 61+49=110, Resulting Numbers: [29, 35, 110]
Generated Node #2: [29, 35, 110] from Operation: 61+49=110
Current State: 46:[29, 35, 110], Operations: ['61+49=110']
Exploring Operation: 29+35=64, Resulting Numbers: [110, 64]
Generated Node #3: [110, 64] from Operation: 29+35=64
Current State: 46:[110, 64], Operations: ['61+49=110', '29+35=64']
Exploring Operation: 110-64=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
97,
89,
17,
41
] | 32 | [
"97-89=8",
"41-17=24",
"8+24=32"
] | Current State: 32:[97, 89, 17, 41], Operations: []
Exploring Operation: 97-89=8, Resulting Numbers: [17, 41, 8]
Generated Node #2: [17, 41, 8] from Operation: 97-89=8
Current State: 32:[17, 41, 8], Operations: ['97-89=8']
Exploring Operation: 41-17=24, Resulting Numbers: [8, 24]
Generated Node #3: [8, 24] from Operation: 41-17=24
Current State: 32:[8, 24], Operations: ['97-89=8', '41-17=24']
Exploring Operation: 8+24=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
1,
47,
22,
24
] | 46 | [
"1+47=48",
"24-22=2",
"48-2=46"
] | Current State: 46:[1, 47, 22, 24], Operations: []
Exploring Operation: 1+47=48, Resulting Numbers: [22, 24, 48]
Generated Node #2: [22, 24, 48] from Operation: 1+47=48
Current State: 46:[22, 24, 48], Operations: ['1+47=48']
Exploring Operation: 24-22=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 24-22=2
Current State: 46:[48, 2], Operations: ['1+47=48', '24-22=2']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
6,
39,
11,
16
] | 89 | [
"6*11=66",
"39-16=23",
"66+23=89"
] | Current State: 89:[6, 39, 11, 16], Operations: []
Exploring Operation: 6*11=66, Resulting Numbers: [39, 16, 66]
Generated Node #2: [39, 16, 66] from Operation: 6*11=66
Current State: 89:[39, 16, 66], Operations: ['6*11=66']
Exploring Operation: 39-16=23, Resulting Numbers: [66, 23]
Generated Node #3: [66, 23] from Operation: 39-16=23
Current State: 89:[66, 23], Operations: ['6*11=66', '39-16=23']
Exploring Operation: 66+23=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
98,
14,
17,
29
] | 90 | [
"98/14=7",
"17*7=119",
"119-29=90"
] | Current State: 90:[98, 14, 17, 29], Operations: []
Exploring Operation: 98/14=7, Resulting Numbers: [17, 29, 7]
Generated Node #2: [17, 29, 7] from Operation: 98/14=7
Current State: 90:[17, 29, 7], Operations: ['98/14=7']
Exploring Operation: 17*7=119, Resulting Numbers: [29, 119]
Generated Node #3: [29, 119] from Operation: 17*7=119
Current State: 90:[29, 119], Operations: ['98/14=7', '17*7=119']
Exploring Operation: 119-29=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
91,
19,
1,
94
] | 86 | [
"1+94=95",
"95/19=5",
"91-5=86"
] | Current State: 86:[91, 19, 1, 94], Operations: []
Exploring Operation: 1+94=95, Resulting Numbers: [91, 19, 95]
Generated Node #2: [91, 19, 95] from Operation: 1+94=95
Current State: 86:[91, 19, 95], Operations: ['1+94=95']
Exploring Operation: 95/19=5, Resulting Numbers: [91, 5]
Generated Node #3: [91, 5] from Operation: 95/19=5
Current State: 86:[91, 5], Operations: ['1+94=95', '95/19=5']
Exploring Operation: 91-5=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
54,
16,
20,
88
] | 30 | [
"54-16=38",
"88-20=68",
"68-38=30"
] | Current State: 30:[54, 16, 20, 88], Operations: []
Exploring Operation: 54-16=38, Resulting Numbers: [20, 88, 38]
Generated Node #2: [20, 88, 38] from Operation: 54-16=38
Current State: 30:[20, 88, 38], Operations: ['54-16=38']
Exploring Operation: 88-20=68, Resulting Numbers: [38, 68]
Generated Node #3: [38, 68] from Operation: 88-20=68
Current State: 30:[38, 68], Operations: ['54-16=38', '88-20=68']
Exploring Operation: 68-38=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
21,
11,
90,
18
] | 57 | [
"21-18=3",
"11*3=33",
"90-33=57"
] | Current State: 57:[21, 11, 90, 18], Operations: []
Exploring Operation: 21-18=3, Resulting Numbers: [11, 90, 3]
Generated Node #2: [11, 90, 3] from Operation: 21-18=3
Current State: 57:[11, 90, 3], Operations: ['21-18=3']
Exploring Operation: 11*3=33, Resulting Numbers: [90, 33]
Generated Node #3: [90, 33] from Operation: 11*3=33
Current State: 57:[90, 33], Operations: ['21-18=3', '11*3=33']
Exploring Operation: 90-33=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
57,
4,
5,
37
] | 49 | [
"37-5=32",
"32/4=8",
"57-8=49"
] | Current State: 49:[57, 4, 5, 37], Operations: []
Exploring Operation: 37-5=32, Resulting Numbers: [57, 4, 32]
Generated Node #2: [57, 4, 32] from Operation: 37-5=32
Current State: 49:[57, 4, 32], Operations: ['37-5=32']
Exploring Operation: 32/4=8, Resulting Numbers: [57, 8]
Generated Node #3: [57, 8] from Operation: 32/4=8
Current State: 49:[57, 8], Operations: ['37-5=32', '32/4=8']
Exploring Operation: 57-8=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
3,
21,
16,
32
] | 23 | [
"21/3=7",
"32-16=16",
"7+16=23"
] | Current State: 23:[3, 21, 16, 32], Operations: []
Exploring Operation: 21/3=7, Resulting Numbers: [16, 32, 7]
Generated Node #2: [16, 32, 7] from Operation: 21/3=7
Current State: 23:[16, 32, 7], Operations: ['21/3=7']
Exploring Operation: 32-16=16, Resulting Numbers: [7, 16]
Generated Node #3: [7, 16] from Operation: 32-16=16
Current State: 23:[7, 16], Operations: ['21/3=7', '32-16=16']
Exploring Operation: 7+16=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
25,
76,
23,
41
] | 79 | [
"25-23=2",
"76/2=38",
"41+38=79"
] | Current State: 79:[25, 76, 23, 41], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [76, 41, 2]
Generated Node #2: [76, 41, 2] from Operation: 25-23=2
Current State: 79:[76, 41, 2], Operations: ['25-23=2']
Exploring Operation: 76/2=38, Resulting Numbers: [41, 38]
Generated Node #3: [41, 38] from Operation: 76/2=38
Current State: 79:[41, 38], Operations: ['25-23=2', '76/2=38']
Exploring Operation: 41+38=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
96,
35,
12,
4
] | 41 | [
"12+4=16",
"96/16=6",
"35+6=41"
] | Current State: 41:[96, 35, 12, 4], Operations: []
Exploring Operation: 12+4=16, Resulting Numbers: [96, 35, 16]
Generated Node #2: [96, 35, 16] from Operation: 12+4=16
Current State: 41:[96, 35, 16], Operations: ['12+4=16']
Exploring Operation: 96/16=6, Resulting Numbers: [35, 6]
Generated Node #3: [35, 6] from Operation: 96/16=6
Current State: 41:[35, 6], Operations: ['12+4=16', '96/16=6']
Exploring Operation: 35+6=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
16,
41,
44,
25
] | 28 | [
"16*41=656",
"44+656=700",
"700/25=28"
] | Current State: 28:[16, 41, 44, 25], Operations: []
Exploring Operation: 16*41=656, Resulting Numbers: [44, 25, 656]
Generated Node #2: [44, 25, 656] from Operation: 16*41=656
Current State: 28:[44, 25, 656], Operations: ['16*41=656']
Exploring Operation: 44+656=700, Resulting Numbers: [25, 700]
Generated Node #3: [25, 700] from Operation: 44+656=700
Current State: 28:[25, 700], Operations: ['16*41=656', '44+656=700']
Exploring Operation: 700/25=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
15,
23,
46,
43
] | 73 | [
"15*46=690",
"690/23=30",
"43+30=73"
] | Current State: 73:[15, 23, 46, 43], Operations: []
Exploring Operation: 15*46=690, Resulting Numbers: [23, 43, 690]
Generated Node #2: [23, 43, 690] from Operation: 15*46=690
Current State: 73:[23, 43, 690], Operations: ['15*46=690']
Exploring Operation: 690/23=30, Resulting Numbers: [43, 30]
Generated Node #3: [43, 30] from Operation: 690/23=30
Current State: 73:[43, 30], Operations: ['15*46=690', '690/23=30']
Exploring Operation: 43+30=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
32,
89,
26,
38
] | 87 | [
"26+38=64",
"64/32=2",
"89-2=87"
] | Current State: 87:[32, 89, 26, 38], Operations: []
Exploring Operation: 26+38=64, Resulting Numbers: [32, 89, 64]
Generated Node #2: [32, 89, 64] from Operation: 26+38=64
Current State: 87:[32, 89, 64], Operations: ['26+38=64']
Exploring Operation: 64/32=2, Resulting Numbers: [89, 2]
Generated Node #3: [89, 2] from Operation: 64/32=2
Current State: 87:[89, 2], Operations: ['26+38=64', '64/32=2']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
82,
25,
10,
75
] | 87 | [
"25-10=15",
"75/15=5",
"82+5=87"
] | Current State: 87:[82, 25, 10, 75], Operations: []
Exploring Operation: 25-10=15, Resulting Numbers: [82, 75, 15]
Generated Node #2: [82, 75, 15] from Operation: 25-10=15
Current State: 87:[82, 75, 15], Operations: ['25-10=15']
Exploring Operation: 75/15=5, Resulting Numbers: [82, 5]
Generated Node #3: [82, 5] from Operation: 75/15=5
Current State: 87:[82, 5], Operations: ['25-10=15', '75/15=5']
Exploring Operation: 82+5=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
47,
34,
49,
63
] | 99 | [
"47-34=13",
"49+63=112",
"112-13=99"
] | Current State: 99:[47, 34, 49, 63], Operations: []
Exploring Operation: 47-34=13, Resulting Numbers: [49, 63, 13]
Generated Node #2: [49, 63, 13] from Operation: 47-34=13
Current State: 99:[49, 63, 13], Operations: ['47-34=13']
Exploring Operation: 49+63=112, Resulting Numbers: [13, 112]
Generated Node #3: [13, 112] from Operation: 49+63=112
Current State: 99:[13, 112], Operations: ['47-34=13', '49+63=112']
Exploring Operation: 112-13=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
89,
34,
59,
26
] | 38 | [
"89+34=123",
"59+26=85",
"123-85=38"
] | Current State: 38:[89, 34, 59, 26], Operations: []
Exploring Operation: 89+34=123, Resulting Numbers: [59, 26, 123]
Generated Node #2: [59, 26, 123] from Operation: 89+34=123
Current State: 38:[59, 26, 123], Operations: ['89+34=123']
Exploring Operation: 59+26=85, Resulting Numbers: [123, 85]
Generated Node #3: [123, 85] from Operation: 59+26=85
Current State: 38:[123, 85], Operations: ['89+34=123', '59+26=85']
Exploring Operation: 123-85=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
66,
77,
4,
93
] | 59 | [
"66+77=143",
"93+143=236",
"236/4=59"
] | Current State: 59:[66, 77, 4, 93], Operations: []
Exploring Operation: 66+77=143, Resulting Numbers: [4, 93, 143]
Generated Node #2: [4, 93, 143] from Operation: 66+77=143
Current State: 59:[4, 93, 143], Operations: ['66+77=143']
Exploring Operation: 93+143=236, Resulting Numbers: [4, 236]
Generated Node #3: [4, 236] from Operation: 93+143=236
Current State: 59:[4, 236], Operations: ['66+77=143', '93+143=236']
Exploring Operation: 236/4=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
11,
74,
6,
62
] | 54 | [
"11*6=66",
"74-62=12",
"66-12=54"
] | Current State: 54:[11, 74, 6, 62], Operations: []
Exploring Operation: 11*6=66, Resulting Numbers: [74, 62, 66]
Generated Node #2: [74, 62, 66] from Operation: 11*6=66
Current State: 54:[74, 62, 66], Operations: ['11*6=66']
Exploring Operation: 74-62=12, Resulting Numbers: [66, 12]
Generated Node #3: [66, 12] from Operation: 74-62=12
Current State: 54:[66, 12], Operations: ['11*6=66', '74-62=12']
Exploring Operation: 66-12=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
26,
70,
99,
19
] | 16 | [
"26+70=96",
"99-19=80",
"96-80=16"
] | Current State: 16:[26, 70, 99, 19], Operations: []
Exploring Operation: 26+70=96, Resulting Numbers: [99, 19, 96]
Generated Node #2: [99, 19, 96] from Operation: 26+70=96
Current State: 16:[99, 19, 96], Operations: ['26+70=96']
Exploring Operation: 99-19=80, Resulting Numbers: [96, 80]
Generated Node #3: [96, 80] from Operation: 99-19=80
Current State: 16:[96, 80], Operations: ['26+70=96', '99-19=80']
Exploring Operation: 96-80=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
55,
83,
76,
42
] | 20 | [
"55+83=138",
"76+42=118",
"138-118=20"
] | Current State: 20:[55, 83, 76, 42], Operations: []
Exploring Operation: 55+83=138, Resulting Numbers: [76, 42, 138]
Generated Node #2: [76, 42, 138] from Operation: 55+83=138
Current State: 20:[76, 42, 138], Operations: ['55+83=138']
Exploring Operation: 76+42=118, Resulting Numbers: [138, 118]
Generated Node #3: [138, 118] from Operation: 76+42=118
Current State: 20:[138, 118], Operations: ['55+83=138', '76+42=118']
Exploring Operation: 138-118=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
31,
97,
50,
2
] | 63 | [
"97-50=47",
"2*47=94",
"94-31=63"
] | Current State: 63:[31, 97, 50, 2], Operations: []
Exploring Operation: 97-50=47, Resulting Numbers: [31, 2, 47]
Generated Node #2: [31, 2, 47] from Operation: 97-50=47
Current State: 63:[31, 2, 47], Operations: ['97-50=47']
Exploring Operation: 2*47=94, Resulting Numbers: [31, 94]
Generated Node #3: [31, 94] from Operation: 2*47=94
Current State: 63:[31, 94], Operations: ['97-50=47', '2*47=94']
Exploring Operation: 94-31=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
55,
18,
29,
6
] | 28 | [
"55+29=84",
"18/6=3",
"84/3=28"
] | Current State: 28:[55, 18, 29, 6], Operations: []
Exploring Operation: 55+29=84, Resulting Numbers: [18, 6, 84]
Generated Node #2: [18, 6, 84] from Operation: 55+29=84
Current State: 28:[18, 6, 84], Operations: ['55+29=84']
Exploring Operation: 18/6=3, Resulting Numbers: [84, 3]
Generated Node #3: [84, 3] from Operation: 18/6=3
Current State: 28:[84, 3], Operations: ['55+29=84', '18/6=3']
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
48,
29,
38,
12
] | 24 | [
"48-29=19",
"38*12=456",
"456/19=24"
] | Current State: 24:[48, 29, 38, 12], Operations: []
Exploring Operation: 48-29=19, Resulting Numbers: [38, 12, 19]
Generated Node #2: [38, 12, 19] from Operation: 48-29=19
Current State: 24:[38, 12, 19], Operations: ['48-29=19']
Exploring Operation: 38*12=456, Resulting Numbers: [19, 456]
Generated Node #3: [19, 456] from Operation: 38*12=456
Current State: 24:[19, 456], Operations: ['48-29=19', '38*12=456']
Exploring Operation: 456/19=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
11,
20,
35,
25
] | 91 | [
"11+20=31",
"35+25=60",
"31+60=91"
] | Current State: 91:[11, 20, 35, 25], Operations: []
Exploring Operation: 11+20=31, Resulting Numbers: [35, 25, 31]
Generated Node #2: [35, 25, 31] from Operation: 11+20=31
Current State: 91:[35, 25, 31], Operations: ['11+20=31']
Exploring Operation: 35+25=60, Resulting Numbers: [31, 60]
Generated Node #3: [31, 60] from Operation: 35+25=60
Current State: 91:[31, 60], Operations: ['11+20=31', '35+25=60']
Exploring Operation: 31+60=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
24,
24,
63,
22
] | 63 | [
"24-24=0",
"22*0=0",
"63+0=63"
] | Current State: 63:[24, 24, 63, 22], Operations: []
Exploring Operation: 24-24=0, Resulting Numbers: [63, 22, 0]
Generated Node #2: [63, 22, 0] from Operation: 24-24=0
Current State: 63:[63, 22, 0], Operations: ['24-24=0']
Exploring Operation: 22*0=0, Resulting Numbers: [63, 0]
Generated Node #3: [63, 0] from Operation: 22*0=0
Current State: 63:[63, 0], Operations: ['24-24=0', '22*0=0']
Exploring Operation: 63+0=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
52,
32,
67,
34
] | 53 | [
"52-32=20",
"67-34=33",
"20+33=53"
] | Current State: 53:[52, 32, 67, 34], Operations: []
Exploring Operation: 52-32=20, Resulting Numbers: [67, 34, 20]
Generated Node #2: [67, 34, 20] from Operation: 52-32=20
Current State: 53:[67, 34, 20], Operations: ['52-32=20']
Exploring Operation: 67-34=33, Resulting Numbers: [20, 33]
Generated Node #3: [20, 33] from Operation: 67-34=33
Current State: 53:[20, 33], Operations: ['52-32=20', '67-34=33']
Exploring Operation: 20+33=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
94,
73,
32,
12
] | 41 | [
"94-73=21",
"32-12=20",
"21+20=41"
] | Current State: 41:[94, 73, 32, 12], Operations: []
Exploring Operation: 94-73=21, Resulting Numbers: [32, 12, 21]
Generated Node #2: [32, 12, 21] from Operation: 94-73=21
Current State: 41:[32, 12, 21], Operations: ['94-73=21']
Exploring Operation: 32-12=20, Resulting Numbers: [21, 20]
Generated Node #3: [21, 20] from Operation: 32-12=20
Current State: 41:[21, 20], Operations: ['94-73=21', '32-12=20']
Exploring Operation: 21+20=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
63,
8,
39,
22
] | 38 | [
"63-8=55",
"39-22=17",
"55-17=38"
] | Current State: 38:[63, 8, 39, 22], Operations: []
Exploring Operation: 63-8=55, Resulting Numbers: [39, 22, 55]
Generated Node #2: [39, 22, 55] from Operation: 63-8=55
Current State: 38:[39, 22, 55], Operations: ['63-8=55']
Exploring Operation: 39-22=17, Resulting Numbers: [55, 17]
Generated Node #3: [55, 17] from Operation: 39-22=17
Current State: 38:[55, 17], Operations: ['63-8=55', '39-22=17']
Exploring Operation: 55-17=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
11,
3,
5,
81
] | 85 | [
"81-11=70",
"3*5=15",
"70+15=85"
] | Current State: 85:[11, 3, 5, 81], Operations: []
Exploring Operation: 81-11=70, Resulting Numbers: [3, 5, 70]
Generated Node #2: [3, 5, 70] from Operation: 81-11=70
Current State: 85:[3, 5, 70], Operations: ['81-11=70']
Exploring Operation: 3*5=15, Resulting Numbers: [70, 15]
Generated Node #3: [70, 15] from Operation: 3*5=15
Current State: 85:[70, 15], Operations: ['81-11=70', '3*5=15']
Exploring Operation: 70+15=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
5,
49,
68,
8
] | 32 | [
"49-5=44",
"68+8=76",
"76-44=32"
] | Current State: 32:[5, 49, 68, 8], Operations: []
Exploring Operation: 49-5=44, Resulting Numbers: [68, 8, 44]
Generated Node #2: [68, 8, 44] from Operation: 49-5=44
Current State: 32:[68, 8, 44], Operations: ['49-5=44']
Exploring Operation: 68+8=76, Resulting Numbers: [44, 76]
Generated Node #3: [44, 76] from Operation: 68+8=76
Current State: 32:[44, 76], Operations: ['49-5=44', '68+8=76']
Exploring Operation: 76-44=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
34,
46,
34,
4
] | 49 | [
"34/34=1",
"46+4=50",
"50-1=49"
] | Current State: 49:[34, 46, 34, 4], Operations: []
Exploring Operation: 34/34=1, Resulting Numbers: [46, 4, 1]
Generated Node #2: [46, 4, 1] from Operation: 34/34=1
Current State: 49:[46, 4, 1], Operations: ['34/34=1']
Exploring Operation: 46+4=50, Resulting Numbers: [1, 50]
Generated Node #3: [1, 50] from Operation: 46+4=50
Current State: 49:[1, 50], Operations: ['34/34=1', '46+4=50']
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
10,
40,
83,
55
] | 78 | [
"10+40=50",
"83-55=28",
"50+28=78"
] | Current State: 78:[10, 40, 83, 55], Operations: []
Exploring Operation: 10+40=50, Resulting Numbers: [83, 55, 50]
Generated Node #2: [83, 55, 50] from Operation: 10+40=50
Current State: 78:[83, 55, 50], Operations: ['10+40=50']
Exploring Operation: 83-55=28, Resulting Numbers: [50, 28]
Generated Node #3: [50, 28] from Operation: 83-55=28
Current State: 78:[50, 28], Operations: ['10+40=50', '83-55=28']
Exploring Operation: 50+28=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
15,
90,
9,
98
] | 14 | [
"90-15=75",
"98-9=89",
"89-75=14"
] | Current State: 14:[15, 90, 9, 98], Operations: []
Exploring Operation: 90-15=75, Resulting Numbers: [9, 98, 75]
Generated Node #2: [9, 98, 75] from Operation: 90-15=75
Current State: 14:[9, 98, 75], Operations: ['90-15=75']
Exploring Operation: 98-9=89, Resulting Numbers: [75, 89]
Generated Node #3: [75, 89] from Operation: 98-9=89
Current State: 14:[75, 89], Operations: ['90-15=75', '98-9=89']
Exploring Operation: 89-75=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
20,
44,
2,
3
] | 71 | [
"20-3=17",
"44*2=88",
"88-17=71"
] | Current State: 71:[20, 44, 2, 3], Operations: []
Exploring Operation: 20-3=17, Resulting Numbers: [44, 2, 17]
Generated Node #2: [44, 2, 17] from Operation: 20-3=17
Current State: 71:[44, 2, 17], Operations: ['20-3=17']
Exploring Operation: 44*2=88, Resulting Numbers: [17, 88]
Generated Node #3: [17, 88] from Operation: 44*2=88
Current State: 71:[17, 88], Operations: ['20-3=17', '44*2=88']
Exploring Operation: 88-17=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
11,
47,
16,
94
] | 88 | [
"11*47=517",
"16*517=8272",
"8272/94=88"
] | Current State: 88:[11, 47, 16, 94], Operations: []
Exploring Operation: 11*47=517, Resulting Numbers: [16, 94, 517]
Generated Node #2: [16, 94, 517] from Operation: 11*47=517
Current State: 88:[16, 94, 517], Operations: ['11*47=517']
Exploring Operation: 16*517=8272, Resulting Numbers: [94, 8272]
Generated Node #3: [94, 8272] from Operation: 16*517=8272
Current State: 88:[94, 8272], Operations: ['11*47=517', '16*517=8272']
Exploring Operation: 8272/94=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
58,
83,
86,
48
] | 47 | [
"83*48=3984",
"58+3984=4042",
"4042/86=47"
] | Current State: 47:[58, 83, 86, 48], Operations: []
Exploring Operation: 83*48=3984, Resulting Numbers: [58, 86, 3984]
Generated Node #2: [58, 86, 3984] from Operation: 83*48=3984
Current State: 47:[58, 86, 3984], Operations: ['83*48=3984']
Exploring Operation: 58+3984=4042, Resulting Numbers: [86, 4042]
Generated Node #3: [86, 4042] from Operation: 58+3984=4042
Current State: 47:[86, 4042], Operations: ['83*48=3984', '58+3984=4042']
Exploring Operation: 4042/86=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
23,
98,
38,
8
] | 97 | [
"23*38=874",
"874-98=776",
"776/8=97"
] | Current State: 97:[23, 98, 38, 8], Operations: []
Exploring Operation: 23*38=874, Resulting Numbers: [98, 8, 874]
Generated Node #2: [98, 8, 874] from Operation: 23*38=874
Current State: 97:[98, 8, 874], Operations: ['23*38=874']
Exploring Operation: 874-98=776, Resulting Numbers: [8, 776]
Generated Node #3: [8, 776] from Operation: 874-98=776
Current State: 97:[8, 776], Operations: ['23*38=874', '874-98=776']
Exploring Operation: 776/8=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
65,
36,
4,
9
] | 66 | [
"36/4=9",
"9/9=1",
"65+1=66"
] | Current State: 66:[65, 36, 4, 9], Operations: []
Exploring Operation: 36/4=9, Resulting Numbers: [65, 9, 9]
Generated Node #2: [65, 9, 9] from Operation: 36/4=9
Current State: 66:[65, 9, 9], Operations: ['36/4=9']
Exploring Operation: 9/9=1, Resulting Numbers: [65, 1]
Generated Node #3: [65, 1] from Operation: 9/9=1
Current State: 66:[65, 1], Operations: ['36/4=9', '9/9=1']
Exploring Operation: 65+1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
35,
3,
58,
6
] | 53 | [
"35*3=105",
"58-6=52",
"105-52=53"
] | Current State: 53:[35, 3, 58, 6], Operations: []
Exploring Operation: 35*3=105, Resulting Numbers: [58, 6, 105]
Generated Node #2: [58, 6, 105] from Operation: 35*3=105
Current State: 53:[58, 6, 105], Operations: ['35*3=105']
Exploring Operation: 58-6=52, Resulting Numbers: [105, 52]
Generated Node #3: [105, 52] from Operation: 58-6=52
Current State: 53:[105, 52], Operations: ['35*3=105', '58-6=52']
Exploring Operation: 105-52=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
41,
3,
30,
18
] | 43 | [
"41-30=11",
"3*18=54",
"54-11=43"
] | Current State: 43:[41, 3, 30, 18], Operations: []
Exploring Operation: 41-30=11, Resulting Numbers: [3, 18, 11]
Generated Node #2: [3, 18, 11] from Operation: 41-30=11
Current State: 43:[3, 18, 11], Operations: ['41-30=11']
Exploring Operation: 3*18=54, Resulting Numbers: [11, 54]
Generated Node #3: [11, 54] from Operation: 3*18=54
Current State: 43:[11, 54], Operations: ['41-30=11', '3*18=54']
Exploring Operation: 54-11=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
24,
2,
3,
43
] | 14 | [
"24+2=26",
"43-3=40",
"40-26=14"
] | Current State: 14:[24, 2, 3, 43], Operations: []
Exploring Operation: 24+2=26, Resulting Numbers: [3, 43, 26]
Generated Node #2: [3, 43, 26] from Operation: 24+2=26
Current State: 14:[3, 43, 26], Operations: ['24+2=26']
Exploring Operation: 43-3=40, Resulting Numbers: [26, 40]
Generated Node #3: [26, 40] from Operation: 43-3=40
Current State: 14:[26, 40], Operations: ['24+2=26', '43-3=40']
Exploring Operation: 40-26=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
12,
66,
48,
27
] | 46 | [
"66-12=54",
"54/27=2",
"48-2=46"
] | Current State: 46:[12, 66, 48, 27], Operations: []
Exploring Operation: 66-12=54, Resulting Numbers: [48, 27, 54]
Generated Node #2: [48, 27, 54] from Operation: 66-12=54
Current State: 46:[48, 27, 54], Operations: ['66-12=54']
Exploring Operation: 54/27=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 54/27=2
Current State: 46:[48, 2], Operations: ['66-12=54', '54/27=2']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
88,
82,
59,
66
] | 42 | [
"88-82=6",
"66-59=7",
"6*7=42"
] | Current State: 42:[88, 82, 59, 66], Operations: []
Exploring Operation: 88-82=6, Resulting Numbers: [59, 66, 6]
Generated Node #2: [59, 66, 6] from Operation: 88-82=6
Current State: 42:[59, 66, 6], Operations: ['88-82=6']
Exploring Operation: 66-59=7, Resulting Numbers: [6, 7]
Generated Node #3: [6, 7] from Operation: 66-59=7
Current State: 42:[6, 7], Operations: ['88-82=6', '66-59=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
56,
68,
10,
11
] | 74 | [
"56+10=66",
"66/11=6",
"68+6=74"
] | Current State: 74:[56, 68, 10, 11], Operations: []
Exploring Operation: 56+10=66, Resulting Numbers: [68, 11, 66]
Generated Node #2: [68, 11, 66] from Operation: 56+10=66
Current State: 74:[68, 11, 66], Operations: ['56+10=66']
Exploring Operation: 66/11=6, Resulting Numbers: [68, 6]
Generated Node #3: [68, 6] from Operation: 66/11=6
Current State: 74:[68, 6], Operations: ['56+10=66', '66/11=6']
Exploring Operation: 68+6=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
3,
82,
25,
73
] | 62 | [
"73-25=48",
"3*48=144",
"144-82=62"
] | Current State: 62:[3, 82, 25, 73], Operations: []
Exploring Operation: 73-25=48, Resulting Numbers: [3, 82, 48]
Generated Node #2: [3, 82, 48] from Operation: 73-25=48
Current State: 62:[3, 82, 48], Operations: ['73-25=48']
Exploring Operation: 3*48=144, Resulting Numbers: [82, 144]
Generated Node #3: [82, 144] from Operation: 3*48=144
Current State: 62:[82, 144], Operations: ['73-25=48', '3*48=144']
Exploring Operation: 144-82=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
61,
57,
80,
74
] | 10 | [
"61-57=4",
"80-74=6",
"4+6=10"
] | Current State: 10:[61, 57, 80, 74], Operations: []
Exploring Operation: 61-57=4, Resulting Numbers: [80, 74, 4]
Generated Node #2: [80, 74, 4] from Operation: 61-57=4
Current State: 10:[80, 74, 4], Operations: ['61-57=4']
Exploring Operation: 80-74=6, Resulting Numbers: [4, 6]
Generated Node #3: [4, 6] from Operation: 80-74=6
Current State: 10:[4, 6], Operations: ['61-57=4', '80-74=6']
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
52,
1,
2,
44
] | 69 | [
"52/2=26",
"44-1=43",
"26+43=69"
] | Current State: 69:[52, 1, 2, 44], Operations: []
Exploring Operation: 52/2=26, Resulting Numbers: [1, 44, 26]
Generated Node #2: [1, 44, 26] from Operation: 52/2=26
Current State: 69:[1, 44, 26], Operations: ['52/2=26']
Exploring Operation: 44-1=43, Resulting Numbers: [26, 43]
Generated Node #3: [26, 43] from Operation: 44-1=43
Current State: 69:[26, 43], Operations: ['52/2=26', '44-1=43']
Exploring Operation: 26+43=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
61,
12,
37,
88
] | 100 | [
"61-12=49",
"88-37=51",
"49+51=100"
] | Current State: 100:[61, 12, 37, 88], Operations: []
Exploring Operation: 61-12=49, Resulting Numbers: [37, 88, 49]
Generated Node #2: [37, 88, 49] from Operation: 61-12=49
Current State: 100:[37, 88, 49], Operations: ['61-12=49']
Exploring Operation: 88-37=51, Resulting Numbers: [49, 51]
Generated Node #3: [49, 51] from Operation: 88-37=51
Current State: 100:[49, 51], Operations: ['61-12=49', '88-37=51']
Exploring Operation: 49+51=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
99,
7,
56,
37
] | 87 | [
"99+7=106",
"56-37=19",
"106-19=87"
] | Current State: 87:[99, 7, 56, 37], Operations: []
Exploring Operation: 99+7=106, Resulting Numbers: [56, 37, 106]
Generated Node #2: [56, 37, 106] from Operation: 99+7=106
Current State: 87:[56, 37, 106], Operations: ['99+7=106']
Exploring Operation: 56-37=19, Resulting Numbers: [106, 19]
Generated Node #3: [106, 19] from Operation: 56-37=19
Current State: 87:[106, 19], Operations: ['99+7=106', '56-37=19']
Exploring Operation: 106-19=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
70,
2,
3,
62
] | 72 | [
"70-3=67",
"2*67=134",
"134-62=72"
] | Current State: 72:[70, 2, 3, 62], Operations: []
Exploring Operation: 70-3=67, Resulting Numbers: [2, 62, 67]
Generated Node #2: [2, 62, 67] from Operation: 70-3=67
Current State: 72:[2, 62, 67], Operations: ['70-3=67']
Exploring Operation: 2*67=134, Resulting Numbers: [62, 134]
Generated Node #3: [62, 134] from Operation: 2*67=134
Current State: 72:[62, 134], Operations: ['70-3=67', '2*67=134']
Exploring Operation: 134-62=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
58,
22,
53,
48
] | 85 | [
"58+22=80",
"53-48=5",
"80+5=85"
] | Current State: 85:[58, 22, 53, 48], Operations: []
Exploring Operation: 58+22=80, Resulting Numbers: [53, 48, 80]
Generated Node #2: [53, 48, 80] from Operation: 58+22=80
Current State: 85:[53, 48, 80], Operations: ['58+22=80']
Exploring Operation: 53-48=5, Resulting Numbers: [80, 5]
Generated Node #3: [80, 5] from Operation: 53-48=5
Current State: 85:[80, 5], Operations: ['58+22=80', '53-48=5']
Exploring Operation: 80+5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
19,
83,
4,
91
] | 13 | [
"19*4=76",
"83-76=7",
"91/7=13"
] | Current State: 13:[19, 83, 4, 91], Operations: []
Exploring Operation: 19*4=76, Resulting Numbers: [83, 91, 76]
Generated Node #2: [83, 91, 76] from Operation: 19*4=76
Current State: 13:[83, 91, 76], Operations: ['19*4=76']
Exploring Operation: 83-76=7, Resulting Numbers: [91, 7]
Generated Node #3: [91, 7] from Operation: 83-76=7
Current State: 13:[91, 7], Operations: ['19*4=76', '83-76=7']
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
66,
7,
80,
32
] | 53 | [
"66-7=59",
"80+32=112",
"112-59=53"
] | Current State: 53:[66, 7, 80, 32], Operations: []
Exploring Operation: 66-7=59, Resulting Numbers: [80, 32, 59]
Generated Node #2: [80, 32, 59] from Operation: 66-7=59
Current State: 53:[80, 32, 59], Operations: ['66-7=59']
Exploring Operation: 80+32=112, Resulting Numbers: [59, 112]
Generated Node #3: [59, 112] from Operation: 80+32=112
Current State: 53:[59, 112], Operations: ['66-7=59', '80+32=112']
Exploring Operation: 112-59=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
66,
54,
37,
75
] | 100 | [
"66-54=12",
"37+75=112",
"112-12=100"
] | Current State: 100:[66, 54, 37, 75], Operations: []
Exploring Operation: 66-54=12, Resulting Numbers: [37, 75, 12]
Generated Node #2: [37, 75, 12] from Operation: 66-54=12
Current State: 100:[37, 75, 12], Operations: ['66-54=12']
Exploring Operation: 37+75=112, Resulting Numbers: [12, 112]
Generated Node #3: [12, 112] from Operation: 37+75=112
Current State: 100:[12, 112], Operations: ['66-54=12', '37+75=112']
Exploring Operation: 112-12=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
58,
50,
36,
85
] | 58 | [
"50+36=86",
"86-85=1",
"58*1=58"
] | Current State: 58:[58, 50, 36, 85], Operations: []
Exploring Operation: 50+36=86, Resulting Numbers: [58, 85, 86]
Generated Node #2: [58, 85, 86] from Operation: 50+36=86
Current State: 58:[58, 85, 86], Operations: ['50+36=86']
Exploring Operation: 86-85=1, Resulting Numbers: [58, 1]
Generated Node #3: [58, 1] from Operation: 86-85=1
Current State: 58:[58, 1], Operations: ['50+36=86', '86-85=1']
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
80,
6,
27,
2
] | 100 | [
"80-27=53",
"2*53=106",
"106-6=100"
] | Current State: 100:[80, 6, 27, 2], Operations: []
Exploring Operation: 80-27=53, Resulting Numbers: [6, 2, 53]
Generated Node #2: [6, 2, 53] from Operation: 80-27=53
Current State: 100:[6, 2, 53], Operations: ['80-27=53']
Exploring Operation: 2*53=106, Resulting Numbers: [6, 106]
Generated Node #3: [6, 106] from Operation: 2*53=106
Current State: 100:[6, 106], Operations: ['80-27=53', '2*53=106']
Exploring Operation: 106-6=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
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