nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
63,
66,
29,
24
] | 21 | [
"66-63=3",
"24/3=8",
"29-8=21"
] | Current State: 21:[63, 66, 29, 24], Operations: []
Exploring Operation: 66-63=3, Resulting Numbers: [29, 24, 3]
Generated Node #2: [29, 24, 3] from Operation: 66-63=3
Current State: 21:[29, 24, 3], Operations: ['66-63=3']
Exploring Operation: 24/3=8, Resulting Numbers: [29, 8]
Generated Node #3: [29, 8] from Operation: 24/3=8
Current State: 21:[29, 8], Operations: ['66-63=3', '24/3=8']
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
60,
31,
70,
8
] | 29 | [
"60+31=91",
"70-8=62",
"91-62=29"
] | Current State: 29:[60, 31, 70, 8], Operations: []
Exploring Operation: 60+31=91, Resulting Numbers: [70, 8, 91]
Generated Node #2: [70, 8, 91] from Operation: 60+31=91
Current State: 29:[70, 8, 91], Operations: ['60+31=91']
Exploring Operation: 70-8=62, Resulting Numbers: [91, 62]
Generated Node #3: [91, 62] from Operation: 70-8=62
Current State: 29:[91, 62], Operations: ['60+31=91', '70-8=62']
Exploring Operation: 91-62=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
4,
87,
78,
64
] | 69 | [
"87-4=83",
"78-64=14",
"83-14=69"
] | Current State: 69:[4, 87, 78, 64], Operations: []
Exploring Operation: 87-4=83, Resulting Numbers: [78, 64, 83]
Generated Node #2: [78, 64, 83] from Operation: 87-4=83
Current State: 69:[78, 64, 83], Operations: ['87-4=83']
Exploring Operation: 78-64=14, Resulting Numbers: [83, 14]
Generated Node #3: [83, 14] from Operation: 78-64=14
Current State: 69:[83, 14], Operations: ['87-4=83', '78-64=14']
Exploring Operation: 83-14=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
66,
9,
7,
79
] | 56 | [
"79-9=70",
"70/7=10",
"66-10=56"
] | Current State: 56:[66, 9, 7, 79], Operations: []
Exploring Operation: 79-9=70, Resulting Numbers: [66, 7, 70]
Generated Node #2: [66, 7, 70] from Operation: 79-9=70
Current State: 56:[66, 7, 70], Operations: ['79-9=70']
Exploring Operation: 70/7=10, Resulting Numbers: [66, 10]
Generated Node #3: [66, 10] from Operation: 70/7=10
Current State: 56:[66, 10], Operations: ['79-9=70', '70/7=10']
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
50,
90,
40,
54
] | 10 | [
"50+90=140",
"54-40=14",
"140/14=10"
] | Current State: 10:[50, 90, 40, 54], Operations: []
Exploring Operation: 50+90=140, Resulting Numbers: [40, 54, 140]
Generated Node #2: [40, 54, 140] from Operation: 50+90=140
Current State: 10:[40, 54, 140], Operations: ['50+90=140']
Exploring Operation: 54-40=14, Resulting Numbers: [140, 14]
Generated Node #3: [140, 14] from Operation: 54-40=14
Current State: 10:[140, 14], Operations: ['50+90=140', '54-40=14']
Exploring Operation: 140/14=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
86,
2,
72,
3
] | 70 | [
"86-72=14",
"2+3=5",
"14*5=70"
] | Current State: 70:[86, 2, 72, 3], Operations: []
Exploring Operation: 86-72=14, Resulting Numbers: [2, 3, 14]
Generated Node #2: [2, 3, 14] from Operation: 86-72=14
Current State: 70:[2, 3, 14], Operations: ['86-72=14']
Exploring Operation: 2+3=5, Resulting Numbers: [14, 5]
Generated Node #3: [14, 5] from Operation: 2+3=5
Current State: 70:[14, 5], Operations: ['86-72=14', '2+3=5']
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
24,
32,
38,
8
] | 22 | [
"32-24=8",
"38-8=30",
"30-8=22"
] | Current State: 22:[24, 32, 38, 8], Operations: []
Exploring Operation: 32-24=8, Resulting Numbers: [38, 8, 8]
Generated Node #2: [38, 8, 8] from Operation: 32-24=8
Current State: 22:[38, 8, 8], Operations: ['32-24=8']
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,22 equal: Goal Reached
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
30,
3,
35,
20
] | 18 | [
"30+3=33",
"35-20=15",
"33-15=18"
] | Current State: 18:[30, 3, 35, 20], Operations: []
Exploring Operation: 30+3=33, Resulting Numbers: [35, 20, 33]
Generated Node #2: [35, 20, 33] from Operation: 30+3=33
Current State: 18:[35, 20, 33], Operations: ['30+3=33']
Exploring Operation: 35-20=15, Resulting Numbers: [33, 15]
Generated Node #3: [33, 15] from Operation: 35-20=15
Current State: 18:[33, 15], Operations: ['30+3=33', '35-20=15']
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
42,
25,
18,
39
] | 23 | [
"39-18=21",
"42/21=2",
"25-2=23"
] | Current State: 23:[42, 25, 18, 39], Operations: []
Exploring Operation: 39-18=21, Resulting Numbers: [42, 25, 21]
Generated Node #2: [42, 25, 21] from Operation: 39-18=21
Current State: 23:[42, 25, 21], Operations: ['39-18=21']
Exploring Operation: 42/21=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 42/21=2
Current State: 23:[25, 2], Operations: ['39-18=21', '42/21=2']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
18,
41,
6,
7
] | 37 | [
"18/6=3",
"41-7=34",
"3+34=37"
] | Current State: 37:[18, 41, 6, 7], Operations: []
Exploring Operation: 18/6=3, Resulting Numbers: [41, 7, 3]
Generated Node #2: [41, 7, 3] from Operation: 18/6=3
Current State: 37:[41, 7, 3], Operations: ['18/6=3']
Exploring Operation: 41-7=34, Resulting Numbers: [3, 34]
Generated Node #3: [3, 34] from Operation: 41-7=34
Current State: 37:[3, 34], Operations: ['18/6=3', '41-7=34']
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
74,
26,
55,
11
] | 92 | [
"74-26=48",
"55-11=44",
"48+44=92"
] | Current State: 92:[74, 26, 55, 11], Operations: []
Exploring Operation: 74-26=48, Resulting Numbers: [55, 11, 48]
Generated Node #2: [55, 11, 48] from Operation: 74-26=48
Current State: 92:[55, 11, 48], Operations: ['74-26=48']
Exploring Operation: 55-11=44, Resulting Numbers: [48, 44]
Generated Node #3: [48, 44] from Operation: 55-11=44
Current State: 92:[48, 44], Operations: ['74-26=48', '55-11=44']
Exploring Operation: 48+44=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
64,
2,
42,
23
] | 21 | [
"64-42=22",
"2*22=44",
"44-23=21"
] | Current State: 21:[64, 2, 42, 23], Operations: []
Exploring Operation: 64-42=22, Resulting Numbers: [2, 23, 22]
Generated Node #2: [2, 23, 22] from Operation: 64-42=22
Current State: 21:[2, 23, 22], Operations: ['64-42=22']
Exploring Operation: 2*22=44, Resulting Numbers: [23, 44]
Generated Node #3: [23, 44] from Operation: 2*22=44
Current State: 21:[23, 44], Operations: ['64-42=22', '2*22=44']
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
82,
82,
3,
93
] | 32 | [
"82/82=1",
"93/3=31",
"1+31=32"
] | Current State: 32:[82, 82, 3, 93], Operations: []
Exploring Operation: 82/82=1, Resulting Numbers: [3, 93, 1]
Generated Node #2: [3, 93, 1] from Operation: 82/82=1
Current State: 32:[3, 93, 1], Operations: ['82/82=1']
Exploring Operation: 93/3=31, Resulting Numbers: [1, 31]
Generated Node #3: [1, 31] from Operation: 93/3=31
Current State: 32:[1, 31], Operations: ['82/82=1', '93/3=31']
Exploring Operation: 1+31=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
62,
5,
92,
30
] | 68 | [
"62-30=32",
"5*32=160",
"160-92=68"
] | Current State: 68:[62, 5, 92, 30], Operations: []
Exploring Operation: 62-30=32, Resulting Numbers: [5, 92, 32]
Generated Node #2: [5, 92, 32] from Operation: 62-30=32
Current State: 68:[5, 92, 32], Operations: ['62-30=32']
Exploring Operation: 5*32=160, Resulting Numbers: [92, 160]
Generated Node #3: [92, 160] from Operation: 5*32=160
Current State: 68:[92, 160], Operations: ['62-30=32', '5*32=160']
Exploring Operation: 160-92=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
51,
13,
95,
58
] | 75 | [
"51-13=38",
"95-58=37",
"38+37=75"
] | Current State: 75:[51, 13, 95, 58], Operations: []
Exploring Operation: 51-13=38, Resulting Numbers: [95, 58, 38]
Generated Node #2: [95, 58, 38] from Operation: 51-13=38
Current State: 75:[95, 58, 38], Operations: ['51-13=38']
Exploring Operation: 95-58=37, Resulting Numbers: [38, 37]
Generated Node #3: [38, 37] from Operation: 95-58=37
Current State: 75:[38, 37], Operations: ['51-13=38', '95-58=37']
Exploring Operation: 38+37=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
41,
87,
16,
54
] | 58 | [
"41+87=128",
"16+54=70",
"128-70=58"
] | Current State: 58:[41, 87, 16, 54], Operations: []
Exploring Operation: 41+87=128, Resulting Numbers: [16, 54, 128]
Generated Node #2: [16, 54, 128] from Operation: 41+87=128
Current State: 58:[16, 54, 128], Operations: ['41+87=128']
Exploring Operation: 16+54=70, Resulting Numbers: [128, 70]
Generated Node #3: [128, 70] from Operation: 16+54=70
Current State: 58:[128, 70], Operations: ['41+87=128', '16+54=70']
Exploring Operation: 128-70=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
35,
2,
79,
68
] | 57 | [
"79-68=11",
"2*11=22",
"35+22=57"
] | Current State: 57:[35, 2, 79, 68], Operations: []
Exploring Operation: 79-68=11, Resulting Numbers: [35, 2, 11]
Generated Node #2: [35, 2, 11] from Operation: 79-68=11
Current State: 57:[35, 2, 11], Operations: ['79-68=11']
Exploring Operation: 2*11=22, Resulting Numbers: [35, 22]
Generated Node #3: [35, 22] from Operation: 2*11=22
Current State: 57:[35, 22], Operations: ['79-68=11', '2*11=22']
Exploring Operation: 35+22=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
6,
27,
29,
5
] | 67 | [
"6+27=33",
"29+5=34",
"33+34=67"
] | Current State: 67:[6, 27, 29, 5], Operations: []
Exploring Operation: 6+27=33, Resulting Numbers: [29, 5, 33]
Generated Node #2: [29, 5, 33] from Operation: 6+27=33
Current State: 67:[29, 5, 33], Operations: ['6+27=33']
Exploring Operation: 29+5=34, Resulting Numbers: [33, 34]
Generated Node #3: [33, 34] from Operation: 29+5=34
Current State: 67:[33, 34], Operations: ['6+27=33', '29+5=34']
Exploring Operation: 33+34=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
79,
46,
11,
91
] | 88 | [
"79-46=33",
"33/11=3",
"91-3=88"
] | Current State: 88:[79, 46, 11, 91], Operations: []
Exploring Operation: 79-46=33, Resulting Numbers: [11, 91, 33]
Generated Node #2: [11, 91, 33] from Operation: 79-46=33
Current State: 88:[11, 91, 33], Operations: ['79-46=33']
Exploring Operation: 33/11=3, Resulting Numbers: [91, 3]
Generated Node #3: [91, 3] from Operation: 33/11=3
Current State: 88:[91, 3], Operations: ['79-46=33', '33/11=3']
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
40,
72,
82,
94
] | 20 | [
"72-40=32",
"94-82=12",
"32-12=20"
] | Current State: 20:[40, 72, 82, 94], Operations: []
Exploring Operation: 72-40=32, Resulting Numbers: [82, 94, 32]
Generated Node #2: [82, 94, 32] from Operation: 72-40=32
Current State: 20:[82, 94, 32], Operations: ['72-40=32']
Exploring Operation: 94-82=12, Resulting Numbers: [32, 12]
Generated Node #3: [32, 12] from Operation: 94-82=12
Current State: 20:[32, 12], Operations: ['72-40=32', '94-82=12']
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
11,
75,
59,
7
] | 81 | [
"59+7=66",
"66/11=6",
"75+6=81"
] | Current State: 81:[11, 75, 59, 7], Operations: []
Exploring Operation: 59+7=66, Resulting Numbers: [11, 75, 66]
Generated Node #2: [11, 75, 66] from Operation: 59+7=66
Current State: 81:[11, 75, 66], Operations: ['59+7=66']
Exploring Operation: 66/11=6, Resulting Numbers: [75, 6]
Generated Node #3: [75, 6] from Operation: 66/11=6
Current State: 81:[75, 6], Operations: ['59+7=66', '66/11=6']
Exploring Operation: 75+6=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
83,
9,
35,
23
] | 58 | [
"83*9=747",
"35*23=805",
"805-747=58"
] | Current State: 58:[83, 9, 35, 23], Operations: []
Exploring Operation: 83*9=747, Resulting Numbers: [35, 23, 747]
Generated Node #2: [35, 23, 747] from Operation: 83*9=747
Current State: 58:[35, 23, 747], Operations: ['83*9=747']
Exploring Operation: 35*23=805, Resulting Numbers: [747, 805]
Generated Node #3: [747, 805] from Operation: 35*23=805
Current State: 58:[747, 805], Operations: ['83*9=747', '35*23=805']
Exploring Operation: 805-747=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
15,
2,
40,
88
] | 39 | [
"88-40=48",
"48/2=24",
"15+24=39"
] | Current State: 39:[15, 2, 40, 88], Operations: []
Exploring Operation: 88-40=48, Resulting Numbers: [15, 2, 48]
Generated Node #2: [15, 2, 48] from Operation: 88-40=48
Current State: 39:[15, 2, 48], Operations: ['88-40=48']
Exploring Operation: 48/2=24, Resulting Numbers: [15, 24]
Generated Node #3: [15, 24] from Operation: 48/2=24
Current State: 39:[15, 24], Operations: ['88-40=48', '48/2=24']
Exploring Operation: 15+24=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
9,
18,
2,
65
] | 95 | [
"9*18=162",
"2+65=67",
"162-67=95"
] | Current State: 95:[9, 18, 2, 65], Operations: []
Exploring Operation: 9*18=162, Resulting Numbers: [2, 65, 162]
Generated Node #2: [2, 65, 162] from Operation: 9*18=162
Current State: 95:[2, 65, 162], Operations: ['9*18=162']
Exploring Operation: 2+65=67, Resulting Numbers: [162, 67]
Generated Node #3: [162, 67] from Operation: 2+65=67
Current State: 95:[162, 67], Operations: ['9*18=162', '2+65=67']
Exploring Operation: 162-67=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
50,
42,
70,
19
] | 49 | [
"50*42=2100",
"2100/70=30",
"19+30=49"
] | Current State: 49:[50, 42, 70, 19], Operations: []
Exploring Operation: 50*42=2100, Resulting Numbers: [70, 19, 2100]
Generated Node #2: [70, 19, 2100] from Operation: 50*42=2100
Current State: 49:[70, 19, 2100], Operations: ['50*42=2100']
Exploring Operation: 2100/70=30, Resulting Numbers: [19, 30]
Generated Node #3: [19, 30] from Operation: 2100/70=30
Current State: 49:[19, 30], Operations: ['50*42=2100', '2100/70=30']
Exploring Operation: 19+30=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
59,
6,
50,
50
] | 75 | [
"59-50=9",
"50*9=450",
"450/6=75"
] | Current State: 75:[59, 6, 50, 50], Operations: []
Exploring Operation: 59-50=9, Resulting Numbers: [6, 9]
Generated Node #2: [6, 9] from Operation: 59-50=9
Current State: 75:[6, 9], Operations: ['59-50=9']
Exploring Operation: 50*9=450, Resulting Numbers: [6, 450]
Generated Node #3: [6, 450] from Operation: 50*9=450
Current State: 75:[6, 450], Operations: ['59-50=9', '50*9=450']
Exploring Operation: 450/6=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
75,
43,
6,
43
] | 15 | [
"43/43=1",
"6-1=5",
"75/5=15"
] | Current State: 15:[75, 43, 6, 43], Operations: []
Exploring Operation: 43/43=1, Resulting Numbers: [75, 6, 1]
Generated Node #2: [75, 6, 1] from Operation: 43/43=1
Current State: 15:[75, 6, 1], Operations: ['43/43=1']
Exploring Operation: 6-1=5, Resulting Numbers: [75, 5]
Generated Node #3: [75, 5] from Operation: 6-1=5
Current State: 15:[75, 5], Operations: ['43/43=1', '6-1=5']
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
52,
55,
12,
50
] | 35 | [
"55-52=3",
"50-12=38",
"38-3=35"
] | Current State: 35:[52, 55, 12, 50], Operations: []
Exploring Operation: 55-52=3, Resulting Numbers: [12, 50, 3]
Generated Node #2: [12, 50, 3] from Operation: 55-52=3
Current State: 35:[12, 50, 3], Operations: ['55-52=3']
Exploring Operation: 50-12=38, Resulting Numbers: [3, 38]
Generated Node #3: [3, 38] from Operation: 50-12=38
Current State: 35:[3, 38], Operations: ['55-52=3', '50-12=38']
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
30,
15,
60,
67
] | 73 | [
"30+60=90",
"90/15=6",
"67+6=73"
] | Current State: 73:[30, 15, 60, 67], Operations: []
Exploring Operation: 30+60=90, Resulting Numbers: [15, 67, 90]
Generated Node #2: [15, 67, 90] from Operation: 30+60=90
Current State: 73:[15, 67, 90], Operations: ['30+60=90']
Exploring Operation: 90/15=6, Resulting Numbers: [67, 6]
Generated Node #3: [67, 6] from Operation: 90/15=6
Current State: 73:[67, 6], Operations: ['30+60=90', '90/15=6']
Exploring Operation: 67+6=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
7,
31,
6,
47
] | 97 | [
"31-7=24",
"6*24=144",
"144-47=97"
] | Current State: 97:[7, 31, 6, 47], Operations: []
Exploring Operation: 31-7=24, Resulting Numbers: [6, 47, 24]
Generated Node #2: [6, 47, 24] from Operation: 31-7=24
Current State: 97:[6, 47, 24], Operations: ['31-7=24']
Exploring Operation: 6*24=144, Resulting Numbers: [47, 144]
Generated Node #3: [47, 144] from Operation: 6*24=144
Current State: 97:[47, 144], Operations: ['31-7=24', '6*24=144']
Exploring Operation: 144-47=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
81,
84,
5,
70
] | 29 | [
"81-70=11",
"5*11=55",
"84-55=29"
] | Current State: 29:[81, 84, 5, 70], Operations: []
Exploring Operation: 81-70=11, Resulting Numbers: [84, 5, 11]
Generated Node #2: [84, 5, 11] from Operation: 81-70=11
Current State: 29:[84, 5, 11], Operations: ['81-70=11']
Exploring Operation: 5*11=55, Resulting Numbers: [84, 55]
Generated Node #3: [84, 55] from Operation: 5*11=55
Current State: 29:[84, 55], Operations: ['81-70=11', '5*11=55']
Exploring Operation: 84-55=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
45,
8,
88,
13
] | 69 | [
"45+13=58",
"88/8=11",
"58+11=69"
] | Current State: 69:[45, 8, 88, 13], Operations: []
Exploring Operation: 45+13=58, Resulting Numbers: [8, 88, 58]
Generated Node #2: [8, 88, 58] from Operation: 45+13=58
Current State: 69:[8, 88, 58], Operations: ['45+13=58']
Exploring Operation: 88/8=11, Resulting Numbers: [58, 11]
Generated Node #3: [58, 11] from Operation: 88/8=11
Current State: 69:[58, 11], Operations: ['45+13=58', '88/8=11']
Exploring Operation: 58+11=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
94,
48,
24,
72
] | 96 | [
"94-24=70",
"72-70=2",
"48*2=96"
] | Current State: 96:[94, 48, 24, 72], Operations: []
Exploring Operation: 94-24=70, Resulting Numbers: [48, 72, 70]
Generated Node #2: [48, 72, 70] from Operation: 94-24=70
Current State: 96:[48, 72, 70], Operations: ['94-24=70']
Exploring Operation: 72-70=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 72-70=2
Current State: 96:[48, 2], Operations: ['94-24=70', '72-70=2']
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
59,
44,
63,
77
] | 29 | [
"59-44=15",
"77-63=14",
"15+14=29"
] | Current State: 29:[59, 44, 63, 77], Operations: []
Exploring Operation: 59-44=15, Resulting Numbers: [63, 77, 15]
Generated Node #2: [63, 77, 15] from Operation: 59-44=15
Current State: 29:[63, 77, 15], Operations: ['59-44=15']
Exploring Operation: 77-63=14, Resulting Numbers: [15, 14]
Generated Node #3: [15, 14] from Operation: 77-63=14
Current State: 29:[15, 14], Operations: ['59-44=15', '77-63=14']
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
11,
64,
26,
23
] | 97 | [
"26-23=3",
"11*3=33",
"64+33=97"
] | Current State: 97:[11, 64, 26, 23], Operations: []
Exploring Operation: 26-23=3, Resulting Numbers: [11, 64, 3]
Generated Node #2: [11, 64, 3] from Operation: 26-23=3
Current State: 97:[11, 64, 3], Operations: ['26-23=3']
Exploring Operation: 11*3=33, Resulting Numbers: [64, 33]
Generated Node #3: [64, 33] from Operation: 11*3=33
Current State: 97:[64, 33], Operations: ['26-23=3', '11*3=33']
Exploring Operation: 64+33=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
49,
92,
3,
11
] | 44 | [
"49*3=147",
"92+11=103",
"147-103=44"
] | Current State: 44:[49, 92, 3, 11], Operations: []
Exploring Operation: 49*3=147, Resulting Numbers: [92, 11, 147]
Generated Node #2: [92, 11, 147] from Operation: 49*3=147
Current State: 44:[92, 11, 147], Operations: ['49*3=147']
Exploring Operation: 92+11=103, Resulting Numbers: [147, 103]
Generated Node #3: [147, 103] from Operation: 92+11=103
Current State: 44:[147, 103], Operations: ['49*3=147', '92+11=103']
Exploring Operation: 147-103=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
46,
37,
99,
33
] | 57 | [
"46-37=9",
"99-33=66",
"66-9=57"
] | Current State: 57:[46, 37, 99, 33], Operations: []
Exploring Operation: 46-37=9, Resulting Numbers: [99, 33, 9]
Generated Node #2: [99, 33, 9] from Operation: 46-37=9
Current State: 57:[99, 33, 9], Operations: ['46-37=9']
Exploring Operation: 99-33=66, Resulting Numbers: [9, 66]
Generated Node #3: [9, 66] from Operation: 99-33=66
Current State: 57:[9, 66], Operations: ['46-37=9', '99-33=66']
Exploring Operation: 66-9=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
85,
87,
69,
96
] | 25 | [
"87-85=2",
"96-69=27",
"27-2=25"
] | Current State: 25:[85, 87, 69, 96], Operations: []
Exploring Operation: 87-85=2, Resulting Numbers: [69, 96, 2]
Generated Node #2: [69, 96, 2] from Operation: 87-85=2
Current State: 25:[69, 96, 2], Operations: ['87-85=2']
Exploring Operation: 96-69=27, Resulting Numbers: [2, 27]
Generated Node #3: [2, 27] from Operation: 96-69=27
Current State: 25:[2, 27], Operations: ['87-85=2', '96-69=27']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
51,
18,
34,
22
] | 78 | [
"51*34=1734",
"1734-18=1716",
"1716/22=78"
] | Current State: 78:[51, 18, 34, 22], Operations: []
Exploring Operation: 51*34=1734, Resulting Numbers: [18, 22, 1734]
Generated Node #2: [18, 22, 1734] from Operation: 51*34=1734
Current State: 78:[18, 22, 1734], Operations: ['51*34=1734']
Exploring Operation: 1734-18=1716, Resulting Numbers: [22, 1716]
Generated Node #3: [22, 1716] from Operation: 1734-18=1716
Current State: 78:[22, 1716], Operations: ['51*34=1734', '1734-18=1716']
Exploring Operation: 1716/22=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
52,
92,
89,
25
] | 23 | [
"92-89=3",
"25*3=75",
"75-52=23"
] | Current State: 23:[52, 92, 89, 25], Operations: []
Exploring Operation: 92-89=3, Resulting Numbers: [52, 25, 3]
Generated Node #2: [52, 25, 3] from Operation: 92-89=3
Current State: 23:[52, 25, 3], Operations: ['92-89=3']
Exploring Operation: 25*3=75, Resulting Numbers: [52, 75]
Generated Node #3: [52, 75] from Operation: 25*3=75
Current State: 23:[52, 75], Operations: ['92-89=3', '25*3=75']
Exploring Operation: 75-52=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
35,
66,
2,
65
] | 51 | [
"65-35=30",
"30/2=15",
"66-15=51"
] | Current State: 51:[35, 66, 2, 65], Operations: []
Exploring Operation: 65-35=30, Resulting Numbers: [66, 2, 30]
Generated Node #2: [66, 2, 30] from Operation: 65-35=30
Current State: 51:[66, 2, 30], Operations: ['65-35=30']
Exploring Operation: 30/2=15, Resulting Numbers: [66, 15]
Generated Node #3: [66, 15] from Operation: 30/2=15
Current State: 51:[66, 15], Operations: ['65-35=30', '30/2=15']
Exploring Operation: 66-15=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
2,
97,
93,
22
] | 52 | [
"97-93=4",
"22+4=26",
"2*26=52"
] | Current State: 52:[2, 97, 93, 22], Operations: []
Exploring Operation: 97-93=4, Resulting Numbers: [2, 22, 4]
Generated Node #2: [2, 22, 4] from Operation: 97-93=4
Current State: 52:[2, 22, 4], Operations: ['97-93=4']
Exploring Operation: 22+4=26, Resulting Numbers: [2, 26]
Generated Node #3: [2, 26] from Operation: 22+4=26
Current State: 52:[2, 26], Operations: ['97-93=4', '22+4=26']
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
52,
92,
88,
48
] | 96 | [
"92-52=40",
"88+48=136",
"136-40=96"
] | Current State: 96:[52, 92, 88, 48], Operations: []
Exploring Operation: 92-52=40, Resulting Numbers: [88, 48, 40]
Generated Node #2: [88, 48, 40] from Operation: 92-52=40
Current State: 96:[88, 48, 40], Operations: ['92-52=40']
Exploring Operation: 88+48=136, Resulting Numbers: [40, 136]
Generated Node #3: [40, 136] from Operation: 88+48=136
Current State: 96:[40, 136], Operations: ['92-52=40', '88+48=136']
Exploring Operation: 136-40=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
81,
29,
73,
17
] | 54 | [
"81+29=110",
"73-17=56",
"110-56=54"
] | Current State: 54:[81, 29, 73, 17], Operations: []
Exploring Operation: 81+29=110, Resulting Numbers: [73, 17, 110]
Generated Node #2: [73, 17, 110] from Operation: 81+29=110
Current State: 54:[73, 17, 110], Operations: ['81+29=110']
Exploring Operation: 73-17=56, Resulting Numbers: [110, 56]
Generated Node #3: [110, 56] from Operation: 73-17=56
Current State: 54:[110, 56], Operations: ['81+29=110', '73-17=56']
Exploring Operation: 110-56=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
83,
15,
82,
78
] | 94 | [
"83+15=98",
"82-78=4",
"98-4=94"
] | Current State: 94:[83, 15, 82, 78], Operations: []
Exploring Operation: 83+15=98, Resulting Numbers: [82, 78, 98]
Generated Node #2: [82, 78, 98] from Operation: 83+15=98
Current State: 94:[82, 78, 98], Operations: ['83+15=98']
Exploring Operation: 82-78=4, Resulting Numbers: [98, 4]
Generated Node #3: [98, 4] from Operation: 82-78=4
Current State: 94:[98, 4], Operations: ['83+15=98', '82-78=4']
Exploring Operation: 98-4=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
67,
9,
64,
5
] | 60 | [
"67+9=76",
"76-64=12",
"5*12=60"
] | Current State: 60:[67, 9, 64, 5], Operations: []
Exploring Operation: 67+9=76, Resulting Numbers: [64, 5, 76]
Generated Node #2: [64, 5, 76] from Operation: 67+9=76
Current State: 60:[64, 5, 76], Operations: ['67+9=76']
Exploring Operation: 76-64=12, Resulting Numbers: [5, 12]
Generated Node #3: [5, 12] from Operation: 76-64=12
Current State: 60:[5, 12], Operations: ['67+9=76', '76-64=12']
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
54,
81,
8,
56
] | 71 | [
"54+81=135",
"8+56=64",
"135-64=71"
] | Current State: 71:[54, 81, 8, 56], Operations: []
Exploring Operation: 54+81=135, Resulting Numbers: [8, 56, 135]
Generated Node #2: [8, 56, 135] from Operation: 54+81=135
Current State: 71:[8, 56, 135], Operations: ['54+81=135']
Exploring Operation: 8+56=64, Resulting Numbers: [135, 64]
Generated Node #3: [135, 64] from Operation: 8+56=64
Current State: 71:[135, 64], Operations: ['54+81=135', '8+56=64']
Exploring Operation: 135-64=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
87,
20,
4,
89
] | 82 | [
"89-87=2",
"20*4=80",
"2+80=82"
] | Current State: 82:[87, 20, 4, 89], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [20, 4, 2]
Generated Node #2: [20, 4, 2] from Operation: 89-87=2
Current State: 82:[20, 4, 2], Operations: ['89-87=2']
Exploring Operation: 20*4=80, Resulting Numbers: [2, 80]
Generated Node #3: [2, 80] from Operation: 20*4=80
Current State: 82:[2, 80], Operations: ['89-87=2', '20*4=80']
Exploring Operation: 2+80=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
75,
61,
78,
73
] | 44 | [
"75-73=2",
"61*2=122",
"122-78=44"
] | Current State: 44:[75, 61, 78, 73], Operations: []
Exploring Operation: 75-73=2, Resulting Numbers: [61, 78, 2]
Generated Node #2: [61, 78, 2] from Operation: 75-73=2
Current State: 44:[61, 78, 2], Operations: ['75-73=2']
Exploring Operation: 61*2=122, Resulting Numbers: [78, 122]
Generated Node #3: [78, 122] from Operation: 61*2=122
Current State: 44:[78, 122], Operations: ['75-73=2', '61*2=122']
Exploring Operation: 122-78=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
28,
5,
7,
45
] | 60 | [
"28-7=21",
"5*21=105",
"105-45=60"
] | Current State: 60:[28, 5, 7, 45], Operations: []
Exploring Operation: 28-7=21, Resulting Numbers: [5, 45, 21]
Generated Node #2: [5, 45, 21] from Operation: 28-7=21
Current State: 60:[5, 45, 21], Operations: ['28-7=21']
Exploring Operation: 5*21=105, Resulting Numbers: [45, 105]
Generated Node #3: [45, 105] from Operation: 5*21=105
Current State: 60:[45, 105], Operations: ['28-7=21', '5*21=105']
Exploring Operation: 105-45=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
14,
3,
88,
9
] | 77 | [
"88-14=74",
"9/3=3",
"74+3=77"
] | Current State: 77:[14, 3, 88, 9], Operations: []
Exploring Operation: 88-14=74, Resulting Numbers: [3, 9, 74]
Generated Node #2: [3, 9, 74] from Operation: 88-14=74
Current State: 77:[3, 9, 74], Operations: ['88-14=74']
Exploring Operation: 9/3=3, Resulting Numbers: [74, 3]
Generated Node #3: [74, 3] from Operation: 9/3=3
Current State: 77:[74, 3], Operations: ['88-14=74', '9/3=3']
Exploring Operation: 74+3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
70,
33,
51,
93
] | 55 | [
"70*33=2310",
"93-51=42",
"2310/42=55"
] | Current State: 55:[70, 33, 51, 93], Operations: []
Exploring Operation: 70*33=2310, Resulting Numbers: [51, 93, 2310]
Generated Node #2: [51, 93, 2310] from Operation: 70*33=2310
Current State: 55:[51, 93, 2310], Operations: ['70*33=2310']
Exploring Operation: 93-51=42, Resulting Numbers: [2310, 42]
Generated Node #3: [2310, 42] from Operation: 93-51=42
Current State: 55:[2310, 42], Operations: ['70*33=2310', '93-51=42']
Exploring Operation: 2310/42=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
80,
79,
58,
73
] | 28 | [
"80+79=159",
"58+73=131",
"159-131=28"
] | Current State: 28:[80, 79, 58, 73], Operations: []
Exploring Operation: 80+79=159, Resulting Numbers: [58, 73, 159]
Generated Node #2: [58, 73, 159] from Operation: 80+79=159
Current State: 28:[58, 73, 159], Operations: ['80+79=159']
Exploring Operation: 58+73=131, Resulting Numbers: [159, 131]
Generated Node #3: [159, 131] from Operation: 58+73=131
Current State: 28:[159, 131], Operations: ['80+79=159', '58+73=131']
Exploring Operation: 159-131=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
91,
4,
25,
54
] | 100 | [
"91+25=116",
"4*54=216",
"216-116=100"
] | Current State: 100:[91, 4, 25, 54], Operations: []
Exploring Operation: 91+25=116, Resulting Numbers: [4, 54, 116]
Generated Node #2: [4, 54, 116] from Operation: 91+25=116
Current State: 100:[4, 54, 116], Operations: ['91+25=116']
Exploring Operation: 4*54=216, Resulting Numbers: [116, 216]
Generated Node #3: [116, 216] from Operation: 4*54=216
Current State: 100:[116, 216], Operations: ['91+25=116', '4*54=216']
Exploring Operation: 216-116=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
32,
34,
15,
69
] | 86 | [
"34-32=2",
"15+69=84",
"2+84=86"
] | Current State: 86:[32, 34, 15, 69], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [15, 69, 2]
Generated Node #2: [15, 69, 2] from Operation: 34-32=2
Current State: 86:[15, 69, 2], Operations: ['34-32=2']
Exploring Operation: 15+69=84, Resulting Numbers: [2, 84]
Generated Node #3: [2, 84] from Operation: 15+69=84
Current State: 86:[2, 84], Operations: ['34-32=2', '15+69=84']
Exploring Operation: 2+84=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
27,
19,
84,
3
] | 22 | [
"27*3=81",
"19+84=103",
"103-81=22"
] | Current State: 22:[27, 19, 84, 3], Operations: []
Exploring Operation: 27*3=81, Resulting Numbers: [19, 84, 81]
Generated Node #2: [19, 84, 81] from Operation: 27*3=81
Current State: 22:[19, 84, 81], Operations: ['27*3=81']
Exploring Operation: 19+84=103, Resulting Numbers: [81, 103]
Generated Node #3: [81, 103] from Operation: 19+84=103
Current State: 22:[81, 103], Operations: ['27*3=81', '19+84=103']
Exploring Operation: 103-81=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
73,
51,
66,
26
] | 70 | [
"73-51=22",
"66+26=92",
"92-22=70"
] | Current State: 70:[73, 51, 66, 26], Operations: []
Exploring Operation: 73-51=22, Resulting Numbers: [66, 26, 22]
Generated Node #2: [66, 26, 22] from Operation: 73-51=22
Current State: 70:[66, 26, 22], Operations: ['73-51=22']
Exploring Operation: 66+26=92, Resulting Numbers: [22, 92]
Generated Node #3: [22, 92] from Operation: 66+26=92
Current State: 70:[22, 92], Operations: ['73-51=22', '66+26=92']
Exploring Operation: 92-22=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
15,
67,
2,
56
] | 15 | [
"15+67=82",
"82/2=41",
"56-41=15"
] | Current State: 15:[15, 67, 2, 56], Operations: []
Exploring Operation: 15+67=82, Resulting Numbers: [2, 56, 82]
Generated Node #2: [2, 56, 82] from Operation: 15+67=82
Current State: 15:[2, 56, 82], Operations: ['15+67=82']
Exploring Operation: 82/2=41, Resulting Numbers: [56, 41]
Generated Node #3: [56, 41] from Operation: 82/2=41
Current State: 15:[56, 41], Operations: ['15+67=82', '82/2=41']
Exploring Operation: 56-41=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
48,
9,
6,
64
] | 90 | [
"48+6=54",
"64-54=10",
"9*10=90"
] | Current State: 90:[48, 9, 6, 64], Operations: []
Exploring Operation: 48+6=54, Resulting Numbers: [9, 64, 54]
Generated Node #2: [9, 64, 54] from Operation: 48+6=54
Current State: 90:[9, 64, 54], Operations: ['48+6=54']
Exploring Operation: 64-54=10, Resulting Numbers: [9, 10]
Generated Node #3: [9, 10] from Operation: 64-54=10
Current State: 90:[9, 10], Operations: ['48+6=54', '64-54=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
36,
64,
51,
19
] | 61 | [
"36-19=17",
"51/17=3",
"64-3=61"
] | Current State: 61:[36, 64, 51, 19], Operations: []
Exploring Operation: 36-19=17, Resulting Numbers: [64, 51, 17]
Generated Node #2: [64, 51, 17] from Operation: 36-19=17
Current State: 61:[64, 51, 17], Operations: ['36-19=17']
Exploring Operation: 51/17=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 51/17=3
Current State: 61:[64, 3], Operations: ['36-19=17', '51/17=3']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
6,
1,
11,
22
] | 89 | [
"6*11=66",
"1+22=23",
"66+23=89"
] | Current State: 89:[6, 1, 11, 22], Operations: []
Exploring Operation: 6*11=66, Resulting Numbers: [1, 22, 66]
Generated Node #2: [1, 22, 66] from Operation: 6*11=66
Current State: 89:[1, 22, 66], Operations: ['6*11=66']
Exploring Operation: 1+22=23, Resulting Numbers: [66, 23]
Generated Node #3: [66, 23] from Operation: 1+22=23
Current State: 89:[66, 23], Operations: ['6*11=66', '1+22=23']
Exploring Operation: 66+23=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
93,
50,
33,
19
] | 36 | [
"93*19=1767",
"33+1767=1800",
"1800/50=36"
] | Current State: 36:[93, 50, 33, 19], Operations: []
Exploring Operation: 93*19=1767, Resulting Numbers: [50, 33, 1767]
Generated Node #2: [50, 33, 1767] from Operation: 93*19=1767
Current State: 36:[50, 33, 1767], Operations: ['93*19=1767']
Exploring Operation: 33+1767=1800, Resulting Numbers: [50, 1800]
Generated Node #3: [50, 1800] from Operation: 33+1767=1800
Current State: 36:[50, 1800], Operations: ['93*19=1767', '33+1767=1800']
Exploring Operation: 1800/50=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
82,
5,
98,
24
] | 13 | [
"82+5=87",
"98-24=74",
"87-74=13"
] | Current State: 13:[82, 5, 98, 24], Operations: []
Exploring Operation: 82+5=87, Resulting Numbers: [98, 24, 87]
Generated Node #2: [98, 24, 87] from Operation: 82+5=87
Current State: 13:[98, 24, 87], Operations: ['82+5=87']
Exploring Operation: 98-24=74, Resulting Numbers: [87, 74]
Generated Node #3: [87, 74] from Operation: 98-24=74
Current State: 13:[87, 74], Operations: ['82+5=87', '98-24=74']
Exploring Operation: 87-74=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
6,
43,
86,
13
] | 36 | [
"43-6=37",
"86-13=73",
"73-37=36"
] | Current State: 36:[6, 43, 86, 13], Operations: []
Exploring Operation: 43-6=37, Resulting Numbers: [86, 13, 37]
Generated Node #2: [86, 13, 37] from Operation: 43-6=37
Current State: 36:[86, 13, 37], Operations: ['43-6=37']
Exploring Operation: 86-13=73, Resulting Numbers: [37, 73]
Generated Node #3: [37, 73] from Operation: 86-13=73
Current State: 36:[37, 73], Operations: ['43-6=37', '86-13=73']
Exploring Operation: 73-37=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
99,
83,
36,
64
] | 83 | [
"99-36=63",
"64-63=1",
"83*1=83"
] | Current State: 83:[99, 83, 36, 64], Operations: []
Exploring Operation: 99-36=63, Resulting Numbers: [83, 64, 63]
Generated Node #2: [83, 64, 63] from Operation: 99-36=63
Current State: 83:[83, 64, 63], Operations: ['99-36=63']
Exploring Operation: 64-63=1, Resulting Numbers: [83, 1]
Generated Node #3: [83, 1] from Operation: 64-63=1
Current State: 83:[83, 1], Operations: ['99-36=63', '64-63=1']
Exploring Operation: 83*1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
38,
1,
19,
17
] | 19 | [
"38*1=38",
"19-17=2",
"38/2=19"
] | Current State: 19:[38, 1, 19, 17], Operations: []
Exploring Operation: 38*1=38, Resulting Numbers: [19, 17, 38]
Generated Node #2: [19, 17, 38] from Operation: 38*1=38
Current State: 19:[19, 17, 38], Operations: ['38*1=38']
Exploring Operation: 19-17=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 19-17=2
Current State: 19:[38, 2], Operations: ['38*1=38', '19-17=2']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
2,
73,
62,
55
] | 33 | [
"73-62=11",
"2*11=22",
"55-22=33"
] | Current State: 33:[2, 73, 62, 55], Operations: []
Exploring Operation: 73-62=11, Resulting Numbers: [2, 55, 11]
Generated Node #2: [2, 55, 11] from Operation: 73-62=11
Current State: 33:[2, 55, 11], Operations: ['73-62=11']
Exploring Operation: 2*11=22, Resulting Numbers: [55, 22]
Generated Node #3: [55, 22] from Operation: 2*11=22
Current State: 33:[55, 22], Operations: ['73-62=11', '2*11=22']
Exploring Operation: 55-22=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
37,
70,
35,
88
] | 54 | [
"37+70=107",
"88-35=53",
"107-53=54"
] | Current State: 54:[37, 70, 35, 88], Operations: []
Exploring Operation: 37+70=107, Resulting Numbers: [35, 88, 107]
Generated Node #2: [35, 88, 107] from Operation: 37+70=107
Current State: 54:[35, 88, 107], Operations: ['37+70=107']
Exploring Operation: 88-35=53, Resulting Numbers: [107, 53]
Generated Node #3: [107, 53] from Operation: 88-35=53
Current State: 54:[107, 53], Operations: ['37+70=107', '88-35=53']
Exploring Operation: 107-53=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
16,
13,
56,
67
] | 85 | [
"16*13=208",
"56+67=123",
"208-123=85"
] | Current State: 85:[16, 13, 56, 67], Operations: []
Exploring Operation: 16*13=208, Resulting Numbers: [56, 67, 208]
Generated Node #2: [56, 67, 208] from Operation: 16*13=208
Current State: 85:[56, 67, 208], Operations: ['16*13=208']
Exploring Operation: 56+67=123, Resulting Numbers: [208, 123]
Generated Node #3: [208, 123] from Operation: 56+67=123
Current State: 85:[208, 123], Operations: ['16*13=208', '56+67=123']
Exploring Operation: 208-123=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
86,
47,
39,
98
] | 23 | [
"86+98=184",
"47-39=8",
"184/8=23"
] | Current State: 23:[86, 47, 39, 98], Operations: []
Exploring Operation: 86+98=184, Resulting Numbers: [47, 39, 184]
Generated Node #2: [47, 39, 184] from Operation: 86+98=184
Current State: 23:[47, 39, 184], Operations: ['86+98=184']
Exploring Operation: 47-39=8, Resulting Numbers: [184, 8]
Generated Node #3: [184, 8] from Operation: 47-39=8
Current State: 23:[184, 8], Operations: ['86+98=184', '47-39=8']
Exploring Operation: 184/8=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
11,
89,
93,
56
] | 100 | [
"93-89=4",
"11*4=44",
"56+44=100"
] | Current State: 100:[11, 89, 93, 56], Operations: []
Exploring Operation: 93-89=4, Resulting Numbers: [11, 56, 4]
Generated Node #2: [11, 56, 4] from Operation: 93-89=4
Current State: 100:[11, 56, 4], Operations: ['93-89=4']
Exploring Operation: 11*4=44, Resulting Numbers: [56, 44]
Generated Node #3: [56, 44] from Operation: 11*4=44
Current State: 100:[56, 44], Operations: ['93-89=4', '11*4=44']
Exploring Operation: 56+44=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
29,
35,
97,
85
] | 72 | [
"35-29=6",
"97-85=12",
"6*12=72"
] | Current State: 72:[29, 35, 97, 85], Operations: []
Exploring Operation: 35-29=6, Resulting Numbers: [97, 85, 6]
Generated Node #2: [97, 85, 6] from Operation: 35-29=6
Current State: 72:[97, 85, 6], Operations: ['35-29=6']
Exploring Operation: 97-85=12, Resulting Numbers: [6, 12]
Generated Node #3: [6, 12] from Operation: 97-85=12
Current State: 72:[6, 12], Operations: ['35-29=6', '97-85=12']
Exploring Operation: 6*12=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
26,
57,
61,
52
] | 65 | [
"52/26=2",
"61*2=122",
"122-57=65"
] | Current State: 65:[26, 57, 61, 52], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [57, 61, 2]
Generated Node #2: [57, 61, 2] from Operation: 52/26=2
Current State: 65:[57, 61, 2], Operations: ['52/26=2']
Exploring Operation: 61*2=122, Resulting Numbers: [57, 122]
Generated Node #3: [57, 122] from Operation: 61*2=122
Current State: 65:[57, 122], Operations: ['52/26=2', '61*2=122']
Exploring Operation: 122-57=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
6,
3,
2,
35
] | 19 | [
"6*3=18",
"2+35=37",
"37-18=19"
] | Current State: 19:[6, 3, 2, 35], Operations: []
Exploring Operation: 6*3=18, Resulting Numbers: [2, 35, 18]
Generated Node #2: [2, 35, 18] from Operation: 6*3=18
Current State: 19:[2, 35, 18], Operations: ['6*3=18']
Exploring Operation: 2+35=37, Resulting Numbers: [18, 37]
Generated Node #3: [18, 37] from Operation: 2+35=37
Current State: 19:[18, 37], Operations: ['6*3=18', '2+35=37']
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
50,
50,
25,
44
] | 25 | [
"50-50=0",
"44*0=0",
"25+0=25"
] | Current State: 25:[50, 50, 25, 44], Operations: []
Exploring Operation: 50-50=0, Resulting Numbers: [25, 44, 0]
Generated Node #2: [25, 44, 0] from Operation: 50-50=0
Current State: 25:[25, 44, 0], Operations: ['50-50=0']
Exploring Operation: 44*0=0, Resulting Numbers: [25, 0]
Generated Node #3: [25, 0] from Operation: 44*0=0
Current State: 25:[25, 0], Operations: ['50-50=0', '44*0=0']
Exploring Operation: 25+0=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
15,
1,
5,
39
] | 99 | [
"5-1=4",
"15*4=60",
"39+60=99"
] | Current State: 99:[15, 1, 5, 39], Operations: []
Exploring Operation: 5-1=4, Resulting Numbers: [15, 39, 4]
Generated Node #2: [15, 39, 4] from Operation: 5-1=4
Current State: 99:[15, 39, 4], Operations: ['5-1=4']
Exploring Operation: 15*4=60, Resulting Numbers: [39, 60]
Generated Node #3: [39, 60] from Operation: 15*4=60
Current State: 99:[39, 60], Operations: ['5-1=4', '15*4=60']
Exploring Operation: 39+60=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
21,
35,
8,
51
] | 23 | [
"51-35=16",
"16/8=2",
"21+2=23"
] | Current State: 23:[21, 35, 8, 51], Operations: []
Exploring Operation: 51-35=16, Resulting Numbers: [21, 8, 16]
Generated Node #2: [21, 8, 16] from Operation: 51-35=16
Current State: 23:[21, 8, 16], Operations: ['51-35=16']
Exploring Operation: 16/8=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 16/8=2
Current State: 23:[21, 2], Operations: ['51-35=16', '16/8=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
48,
15,
9,
66
] | 53 | [
"9+66=75",
"75/15=5",
"48+5=53"
] | Current State: 53:[48, 15, 9, 66], Operations: []
Exploring Operation: 9+66=75, Resulting Numbers: [48, 15, 75]
Generated Node #2: [48, 15, 75] from Operation: 9+66=75
Current State: 53:[48, 15, 75], Operations: ['9+66=75']
Exploring Operation: 75/15=5, Resulting Numbers: [48, 5]
Generated Node #3: [48, 5] from Operation: 75/15=5
Current State: 53:[48, 5], Operations: ['9+66=75', '75/15=5']
Exploring Operation: 48+5=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
79,
12,
12,
87
] | 96 | [
"79*12=948",
"12*87=1044",
"1044-948=96"
] | Current State: 96:[79, 12, 12, 87], Operations: []
Exploring Operation: 79*12=948, Resulting Numbers: [87, 948]
Generated Node #2: [87, 948] from Operation: 79*12=948
Current State: 96:[87, 948], Operations: ['79*12=948']
Exploring Operation: 12*87=1044, Resulting Numbers: [948, 1044]
Generated Node #3: [948, 1044] from Operation: 12*87=1044
Current State: 96:[948, 1044], Operations: ['79*12=948', '12*87=1044']
Exploring Operation: 1044-948=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
39,
81,
86,
21
] | 12 | [
"39+21=60",
"86-81=5",
"60/5=12"
] | Current State: 12:[39, 81, 86, 21], Operations: []
Exploring Operation: 39+21=60, Resulting Numbers: [81, 86, 60]
Generated Node #2: [81, 86, 60] from Operation: 39+21=60
Current State: 12:[81, 86, 60], Operations: ['39+21=60']
Exploring Operation: 86-81=5, Resulting Numbers: [60, 5]
Generated Node #3: [60, 5] from Operation: 86-81=5
Current State: 12:[60, 5], Operations: ['39+21=60', '86-81=5']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
23,
35,
30,
56
] | 25 | [
"30*56=1680",
"1680/35=48",
"48-23=25"
] | Current State: 25:[23, 35, 30, 56], Operations: []
Exploring Operation: 30*56=1680, Resulting Numbers: [23, 35, 1680]
Generated Node #2: [23, 35, 1680] from Operation: 30*56=1680
Current State: 25:[23, 35, 1680], Operations: ['30*56=1680']
Exploring Operation: 1680/35=48, Resulting Numbers: [23, 48]
Generated Node #3: [23, 48] from Operation: 1680/35=48
Current State: 25:[23, 48], Operations: ['30*56=1680', '1680/35=48']
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
29,
28,
32,
26
] | 52 | [
"29-26=3",
"28*3=84",
"84-32=52"
] | Current State: 52:[29, 28, 32, 26], Operations: []
Exploring Operation: 29-26=3, Resulting Numbers: [28, 32, 3]
Generated Node #2: [28, 32, 3] from Operation: 29-26=3
Current State: 52:[28, 32, 3], Operations: ['29-26=3']
Exploring Operation: 28*3=84, Resulting Numbers: [32, 84]
Generated Node #3: [32, 84] from Operation: 28*3=84
Current State: 52:[32, 84], Operations: ['29-26=3', '28*3=84']
Exploring Operation: 84-32=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
26,
52,
39,
63
] | 12 | [
"52/26=2",
"63-39=24",
"24/2=12"
] | Current State: 12:[26, 52, 39, 63], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [39, 63, 2]
Generated Node #2: [39, 63, 2] from Operation: 52/26=2
Current State: 12:[39, 63, 2], Operations: ['52/26=2']
Exploring Operation: 63-39=24, Resulting Numbers: [2, 24]
Generated Node #3: [2, 24] from Operation: 63-39=24
Current State: 12:[2, 24], Operations: ['52/26=2', '63-39=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
48,
56,
72,
23
] | 41 | [
"56-48=8",
"72-23=49",
"49-8=41"
] | Current State: 41:[48, 56, 72, 23], Operations: []
Exploring Operation: 56-48=8, Resulting Numbers: [72, 23, 8]
Generated Node #2: [72, 23, 8] from Operation: 56-48=8
Current State: 41:[72, 23, 8], Operations: ['56-48=8']
Exploring Operation: 72-23=49, Resulting Numbers: [8, 49]
Generated Node #3: [8, 49] from Operation: 72-23=49
Current State: 41:[8, 49], Operations: ['56-48=8', '72-23=49']
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
32,
6,
8,
16
] | 70 | [
"32/8=4",
"16*4=64",
"6+64=70"
] | Current State: 70:[32, 6, 8, 16], Operations: []
Exploring Operation: 32/8=4, Resulting Numbers: [6, 16, 4]
Generated Node #2: [6, 16, 4] from Operation: 32/8=4
Current State: 70:[6, 16, 4], Operations: ['32/8=4']
Exploring Operation: 16*4=64, Resulting Numbers: [6, 64]
Generated Node #3: [6, 64] from Operation: 16*4=64
Current State: 70:[6, 64], Operations: ['32/8=4', '16*4=64']
Exploring Operation: 6+64=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
18,
16,
73,
83
] | 12 | [
"18-16=2",
"83-73=10",
"2+10=12"
] | Current State: 12:[18, 16, 73, 83], Operations: []
Exploring Operation: 18-16=2, Resulting Numbers: [73, 83, 2]
Generated Node #2: [73, 83, 2] from Operation: 18-16=2
Current State: 12:[73, 83, 2], Operations: ['18-16=2']
Exploring Operation: 83-73=10, Resulting Numbers: [2, 10]
Generated Node #3: [2, 10] from Operation: 83-73=10
Current State: 12:[2, 10], Operations: ['18-16=2', '83-73=10']
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
48,
8,
32,
65
] | 73 | [
"48-8=40",
"65-32=33",
"40+33=73"
] | Current State: 73:[48, 8, 32, 65], Operations: []
Exploring Operation: 48-8=40, Resulting Numbers: [32, 65, 40]
Generated Node #2: [32, 65, 40] from Operation: 48-8=40
Current State: 73:[32, 65, 40], Operations: ['48-8=40']
Exploring Operation: 65-32=33, Resulting Numbers: [40, 33]
Generated Node #3: [40, 33] from Operation: 65-32=33
Current State: 73:[40, 33], Operations: ['48-8=40', '65-32=33']
Exploring Operation: 40+33=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
46,
96,
20,
58
] | 48 | [
"96+20=116",
"116/58=2",
"46+2=48"
] | Current State: 48:[46, 96, 20, 58], Operations: []
Exploring Operation: 96+20=116, Resulting Numbers: [46, 58, 116]
Generated Node #2: [46, 58, 116] from Operation: 96+20=116
Current State: 48:[46, 58, 116], Operations: ['96+20=116']
Exploring Operation: 116/58=2, Resulting Numbers: [46, 2]
Generated Node #3: [46, 2] from Operation: 116/58=2
Current State: 48:[46, 2], Operations: ['96+20=116', '116/58=2']
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
12,
3,
55,
63
] | 46 | [
"12+55=67",
"63/3=21",
"67-21=46"
] | Current State: 46:[12, 3, 55, 63], Operations: []
Exploring Operation: 12+55=67, Resulting Numbers: [3, 63, 67]
Generated Node #2: [3, 63, 67] from Operation: 12+55=67
Current State: 46:[3, 63, 67], Operations: ['12+55=67']
Exploring Operation: 63/3=21, Resulting Numbers: [67, 21]
Generated Node #3: [67, 21] from Operation: 63/3=21
Current State: 46:[67, 21], Operations: ['12+55=67', '63/3=21']
Exploring Operation: 67-21=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
59,
70,
36,
10
] | 35 | [
"70-59=11",
"36+10=46",
"46-11=35"
] | Current State: 35:[59, 70, 36, 10], Operations: []
Exploring Operation: 70-59=11, Resulting Numbers: [36, 10, 11]
Generated Node #2: [36, 10, 11] from Operation: 70-59=11
Current State: 35:[36, 10, 11], Operations: ['70-59=11']
Exploring Operation: 36+10=46, Resulting Numbers: [11, 46]
Generated Node #3: [11, 46] from Operation: 36+10=46
Current State: 35:[11, 46], Operations: ['70-59=11', '36+10=46']
Exploring Operation: 46-11=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
21,
3,
7,
42
] | 21 | [
"21*7=147",
"3*42=126",
"147-126=21"
] | Current State: 21:[21, 3, 7, 42], Operations: []
Exploring Operation: 21*7=147, Resulting Numbers: [3, 42, 147]
Generated Node #2: [3, 42, 147] from Operation: 21*7=147
Current State: 21:[3, 42, 147], Operations: ['21*7=147']
Exploring Operation: 3*42=126, Resulting Numbers: [147, 126]
Generated Node #3: [147, 126] from Operation: 3*42=126
Current State: 21:[147, 126], Operations: ['21*7=147', '3*42=126']
Exploring Operation: 147-126=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
46,
49,
91,
88
] | 89 | [
"91-88=3",
"46*3=138",
"138-49=89"
] | Current State: 89:[46, 49, 91, 88], Operations: []
Exploring Operation: 91-88=3, Resulting Numbers: [46, 49, 3]
Generated Node #2: [46, 49, 3] from Operation: 91-88=3
Current State: 89:[46, 49, 3], Operations: ['91-88=3']
Exploring Operation: 46*3=138, Resulting Numbers: [49, 138]
Generated Node #3: [49, 138] from Operation: 46*3=138
Current State: 89:[49, 138], Operations: ['91-88=3', '46*3=138']
Exploring Operation: 138-49=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
34,
50,
5,
52
] | 63 | [
"50-34=16",
"52-5=47",
"16+47=63"
] | Current State: 63:[34, 50, 5, 52], Operations: []
Exploring Operation: 50-34=16, Resulting Numbers: [5, 52, 16]
Generated Node #2: [5, 52, 16] from Operation: 50-34=16
Current State: 63:[5, 52, 16], Operations: ['50-34=16']
Exploring Operation: 52-5=47, Resulting Numbers: [16, 47]
Generated Node #3: [16, 47] from Operation: 52-5=47
Current State: 63:[16, 47], Operations: ['50-34=16', '52-5=47']
Exploring Operation: 16+47=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
32,
36,
67,
44
] | 43 | [
"32+36=68",
"67+44=111",
"111-68=43"
] | Current State: 43:[32, 36, 67, 44], Operations: []
Exploring Operation: 32+36=68, Resulting Numbers: [67, 44, 68]
Generated Node #2: [67, 44, 68] from Operation: 32+36=68
Current State: 43:[67, 44, 68], Operations: ['32+36=68']
Exploring Operation: 67+44=111, Resulting Numbers: [68, 111]
Generated Node #3: [68, 111] from Operation: 67+44=111
Current State: 43:[68, 111], Operations: ['32+36=68', '67+44=111']
Exploring Operation: 111-68=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
16,
34,
63,
60
] | 15 | [
"34-16=18",
"63-60=3",
"18-3=15"
] | Current State: 15:[16, 34, 63, 60], Operations: []
Exploring Operation: 34-16=18, Resulting Numbers: [63, 60, 18]
Generated Node #2: [63, 60, 18] from Operation: 34-16=18
Current State: 15:[63, 60, 18], Operations: ['34-16=18']
Exploring Operation: 63-60=3, Resulting Numbers: [18, 3]
Generated Node #3: [18, 3] from Operation: 63-60=3
Current State: 15:[18, 3], Operations: ['34-16=18', '63-60=3']
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
85,
55,
89,
22
] | 55 | [
"85*22=1870",
"89-55=34",
"1870/34=55"
] | Current State: 55:[85, 55, 89, 22], Operations: []
Exploring Operation: 85*22=1870, Resulting Numbers: [55, 89, 1870]
Generated Node #2: [55, 89, 1870] from Operation: 85*22=1870
Current State: 55:[55, 89, 1870], Operations: ['85*22=1870']
Exploring Operation: 89-55=34, Resulting Numbers: [1870, 34]
Generated Node #3: [1870, 34] from Operation: 89-55=34
Current State: 55:[1870, 34], Operations: ['85*22=1870', '89-55=34']
Exploring Operation: 1870/34=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
24,
24,
58,
96
] | 53 | [
"24+96=120",
"120/24=5",
"58-5=53"
] | Current State: 53:[24, 24, 58, 96], Operations: []
Exploring Operation: 24+96=120, Resulting Numbers: [58, 120]
Generated Node #2: [58, 120] from Operation: 24+96=120
Current State: 53:[58, 120], Operations: ['24+96=120']
Exploring Operation: 120/24=5, Resulting Numbers: [58, 5]
Generated Node #3: [58, 5] from Operation: 120/24=5
Current State: 53:[58, 5], Operations: ['24+96=120', '120/24=5']
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
45,
26,
61,
48
] | 58 | [
"45+26=71",
"61-48=13",
"71-13=58"
] | Current State: 58:[45, 26, 61, 48], Operations: []
Exploring Operation: 45+26=71, Resulting Numbers: [61, 48, 71]
Generated Node #2: [61, 48, 71] from Operation: 45+26=71
Current State: 58:[61, 48, 71], Operations: ['45+26=71']
Exploring Operation: 61-48=13, Resulting Numbers: [71, 13]
Generated Node #3: [71, 13] from Operation: 61-48=13
Current State: 58:[71, 13], Operations: ['45+26=71', '61-48=13']
Exploring Operation: 71-13=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
85,
84,
65,
33
] | 71 | [
"85+84=169",
"65+33=98",
"169-98=71"
] | Current State: 71:[85, 84, 65, 33], Operations: []
Exploring Operation: 85+84=169, Resulting Numbers: [65, 33, 169]
Generated Node #2: [65, 33, 169] from Operation: 85+84=169
Current State: 71:[65, 33, 169], Operations: ['85+84=169']
Exploring Operation: 65+33=98, Resulting Numbers: [169, 98]
Generated Node #3: [169, 98] from Operation: 65+33=98
Current State: 71:[169, 98], Operations: ['85+84=169', '65+33=98']
Exploring Operation: 169-98=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
81,
42,
10,
40
] | 76 | [
"42-40=2",
"10/2=5",
"81-5=76"
] | Current State: 76:[81, 42, 10, 40], Operations: []
Exploring Operation: 42-40=2, Resulting Numbers: [81, 10, 2]
Generated Node #2: [81, 10, 2] from Operation: 42-40=2
Current State: 76:[81, 10, 2], Operations: ['42-40=2']
Exploring Operation: 10/2=5, Resulting Numbers: [81, 5]
Generated Node #3: [81, 5] from Operation: 10/2=5
Current State: 76:[81, 5], Operations: ['42-40=2', '10/2=5']
Exploring Operation: 81-5=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
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