nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
16,
45,
26,
33
] | 88 | [
"45-16=29",
"26+33=59",
"29+59=88"
] | Current State: 88:[16, 45, 26, 33], Operations: []
Exploring Operation: 45-16=29, Resulting Numbers: [26, 33, 29]
Generated Node #2: [26, 33, 29] from Operation: 45-16=29
Current State: 88:[26, 33, 29], Operations: ['45-16=29']
Exploring Operation: 26+33=59, Resulting Numbers: [29, 59]
Generated Node #3: [29, 59] from Operation: 26+33=59
Current State: 88:[29, 59], Operations: ['45-16=29', '26+33=59']
Exploring Operation: 29+59=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
7,
87,
41,
59
] | 76 | [
"7+87=94",
"59-41=18",
"94-18=76"
] | Current State: 76:[7, 87, 41, 59], Operations: []
Exploring Operation: 7+87=94, Resulting Numbers: [41, 59, 94]
Generated Node #2: [41, 59, 94] from Operation: 7+87=94
Current State: 76:[41, 59, 94], Operations: ['7+87=94']
Exploring Operation: 59-41=18, Resulting Numbers: [94, 18]
Generated Node #3: [94, 18] from Operation: 59-41=18
Current State: 76:[94, 18], Operations: ['7+87=94', '59-41=18']
Exploring Operation: 94-18=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
28,
41,
42,
91
] | 75 | [
"91-41=50",
"42*50=2100",
"2100/28=75"
] | Current State: 75:[28, 41, 42, 91], Operations: []
Exploring Operation: 91-41=50, Resulting Numbers: [28, 42, 50]
Generated Node #2: [28, 42, 50] from Operation: 91-41=50
Current State: 75:[28, 42, 50], Operations: ['91-41=50']
Exploring Operation: 42*50=2100, Resulting Numbers: [28, 2100]
Generated Node #3: [28, 2100] from Operation: 42*50=2100
Current State: 75:[28, 2100], Operations: ['91-41=50', '42*50=2100']
Exploring Operation: 2100/28=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
25,
16,
22,
78
] | 30 | [
"25-22=3",
"16*3=48",
"78-48=30"
] | Current State: 30:[25, 16, 22, 78], Operations: []
Exploring Operation: 25-22=3, Resulting Numbers: [16, 78, 3]
Generated Node #2: [16, 78, 3] from Operation: 25-22=3
Current State: 30:[16, 78, 3], Operations: ['25-22=3']
Exploring Operation: 16*3=48, Resulting Numbers: [78, 48]
Generated Node #3: [78, 48] from Operation: 16*3=48
Current State: 30:[78, 48], Operations: ['25-22=3', '16*3=48']
Exploring Operation: 78-48=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
53,
13,
7,
14
] | 32 | [
"53+13=66",
"7*14=98",
"98-66=32"
] | Current State: 32:[53, 13, 7, 14], Operations: []
Exploring Operation: 53+13=66, Resulting Numbers: [7, 14, 66]
Generated Node #2: [7, 14, 66] from Operation: 53+13=66
Current State: 32:[7, 14, 66], Operations: ['53+13=66']
Exploring Operation: 7*14=98, Resulting Numbers: [66, 98]
Generated Node #3: [66, 98] from Operation: 7*14=98
Current State: 32:[66, 98], Operations: ['53+13=66', '7*14=98']
Exploring Operation: 98-66=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
4,
4,
62,
90
] | 42 | [
"62+90=152",
"152/4=38",
"4+38=42"
] | Current State: 42:[4, 4, 62, 90], Operations: []
Exploring Operation: 62+90=152, Resulting Numbers: [4, 4, 152]
Generated Node #2: [4, 4, 152] from Operation: 62+90=152
Current State: 42:[4, 4, 152], Operations: ['62+90=152']
Exploring Operation: 152/4=38, Resulting Numbers: [38]
38,42 equal: Goal Reached
Exploring Operation: 4+38=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
99,
77,
80,
77
] | 44 | [
"80-77=3",
"99/3=33",
"77-33=44"
] | Current State: 44:[99, 77, 80, 77], Operations: []
Exploring Operation: 80-77=3, Resulting Numbers: [99, 3]
Generated Node #2: [99, 3] from Operation: 80-77=3
Current State: 44:[99, 3], Operations: ['80-77=3']
Exploring Operation: 99/3=33, Resulting Numbers: [33]
33,44 equal: Goal Reached
Exploring Operation: 77-33=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
2,
56,
33,
36
] | 46 | [
"2*33=66",
"56-36=20",
"66-20=46"
] | Current State: 46:[2, 56, 33, 36], Operations: []
Exploring Operation: 2*33=66, Resulting Numbers: [56, 36, 66]
Generated Node #2: [56, 36, 66] from Operation: 2*33=66
Current State: 46:[56, 36, 66], Operations: ['2*33=66']
Exploring Operation: 56-36=20, Resulting Numbers: [66, 20]
Generated Node #3: [66, 20] from Operation: 56-36=20
Current State: 46:[66, 20], Operations: ['2*33=66', '56-36=20']
Exploring Operation: 66-20=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
57,
18,
30,
11
] | 15 | [
"30-11=19",
"57/19=3",
"18-3=15"
] | Current State: 15:[57, 18, 30, 11], Operations: []
Exploring Operation: 30-11=19, Resulting Numbers: [57, 18, 19]
Generated Node #2: [57, 18, 19] from Operation: 30-11=19
Current State: 15:[57, 18, 19], Operations: ['30-11=19']
Exploring Operation: 57/19=3, Resulting Numbers: [18, 3]
Generated Node #3: [18, 3] from Operation: 57/19=3
Current State: 15:[18, 3], Operations: ['30-11=19', '57/19=3']
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
63,
53,
60,
94
] | 82 | [
"63+53=116",
"94-60=34",
"116-34=82"
] | Current State: 82:[63, 53, 60, 94], Operations: []
Exploring Operation: 63+53=116, Resulting Numbers: [60, 94, 116]
Generated Node #2: [60, 94, 116] from Operation: 63+53=116
Current State: 82:[60, 94, 116], Operations: ['63+53=116']
Exploring Operation: 94-60=34, Resulting Numbers: [116, 34]
Generated Node #3: [116, 34] from Operation: 94-60=34
Current State: 82:[116, 34], Operations: ['63+53=116', '94-60=34']
Exploring Operation: 116-34=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
39,
34,
64,
88
] | 79 | [
"39+34=73",
"64+88=152",
"152-73=79"
] | Current State: 79:[39, 34, 64, 88], Operations: []
Exploring Operation: 39+34=73, Resulting Numbers: [64, 88, 73]
Generated Node #2: [64, 88, 73] from Operation: 39+34=73
Current State: 79:[64, 88, 73], Operations: ['39+34=73']
Exploring Operation: 64+88=152, Resulting Numbers: [73, 152]
Generated Node #3: [73, 152] from Operation: 64+88=152
Current State: 79:[73, 152], Operations: ['39+34=73', '64+88=152']
Exploring Operation: 152-73=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
33,
32,
6,
42
] | 55 | [
"42-32=10",
"33*10=330",
"330/6=55"
] | Current State: 55:[33, 32, 6, 42], Operations: []
Exploring Operation: 42-32=10, Resulting Numbers: [33, 6, 10]
Generated Node #2: [33, 6, 10] from Operation: 42-32=10
Current State: 55:[33, 6, 10], Operations: ['42-32=10']
Exploring Operation: 33*10=330, Resulting Numbers: [6, 330]
Generated Node #3: [6, 330] from Operation: 33*10=330
Current State: 55:[6, 330], Operations: ['42-32=10', '33*10=330']
Exploring Operation: 330/6=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
7,
29,
29,
62
] | 11 | [
"29-7=22",
"62-29=33",
"33-22=11"
] | Current State: 11:[7, 29, 29, 62], Operations: []
Exploring Operation: 29-7=22, Resulting Numbers: [62, 22]
Generated Node #2: [62, 22] from Operation: 29-7=22
Current State: 11:[62, 22], Operations: ['29-7=22']
Exploring Operation: 62-29=33, Resulting Numbers: [22, 33]
Generated Node #3: [22, 33] from Operation: 62-29=33
Current State: 11:[22, 33], Operations: ['29-7=22', '62-29=33']
Exploring Operation: 33-22=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
9,
23,
27,
68
] | 81 | [
"23-9=14",
"27+68=95",
"95-14=81"
] | Current State: 81:[9, 23, 27, 68], Operations: []
Exploring Operation: 23-9=14, Resulting Numbers: [27, 68, 14]
Generated Node #2: [27, 68, 14] from Operation: 23-9=14
Current State: 81:[27, 68, 14], Operations: ['23-9=14']
Exploring Operation: 27+68=95, Resulting Numbers: [14, 95]
Generated Node #3: [14, 95] from Operation: 27+68=95
Current State: 81:[14, 95], Operations: ['23-9=14', '27+68=95']
Exploring Operation: 95-14=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
66,
64,
9,
69
] | 79 | [
"66+69=135",
"135/9=15",
"64+15=79"
] | Current State: 79:[66, 64, 9, 69], Operations: []
Exploring Operation: 66+69=135, Resulting Numbers: [64, 9, 135]
Generated Node #2: [64, 9, 135] from Operation: 66+69=135
Current State: 79:[64, 9, 135], Operations: ['66+69=135']
Exploring Operation: 135/9=15, Resulting Numbers: [64, 15]
Generated Node #3: [64, 15] from Operation: 135/9=15
Current State: 79:[64, 15], Operations: ['66+69=135', '135/9=15']
Exploring Operation: 64+15=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
85,
7,
17,
44
] | 82 | [
"7+44=51",
"51/17=3",
"85-3=82"
] | Current State: 82:[85, 7, 17, 44], Operations: []
Exploring Operation: 7+44=51, Resulting Numbers: [85, 17, 51]
Generated Node #2: [85, 17, 51] from Operation: 7+44=51
Current State: 82:[85, 17, 51], Operations: ['7+44=51']
Exploring Operation: 51/17=3, Resulting Numbers: [85, 3]
Generated Node #3: [85, 3] from Operation: 51/17=3
Current State: 82:[85, 3], Operations: ['7+44=51', '51/17=3']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
2,
70,
4,
18
] | 96 | [
"2*4=8",
"70+18=88",
"8+88=96"
] | Current State: 96:[2, 70, 4, 18], Operations: []
Exploring Operation: 2*4=8, Resulting Numbers: [70, 18, 8]
Generated Node #2: [70, 18, 8] from Operation: 2*4=8
Current State: 96:[70, 18, 8], Operations: ['2*4=8']
Exploring Operation: 70+18=88, Resulting Numbers: [8, 88]
Generated Node #3: [8, 88] from Operation: 70+18=88
Current State: 96:[8, 88], Operations: ['2*4=8', '70+18=88']
Exploring Operation: 8+88=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
36,
64,
81,
2
] | 25 | [
"64-36=28",
"2*28=56",
"81-56=25"
] | Current State: 25:[36, 64, 81, 2], Operations: []
Exploring Operation: 64-36=28, Resulting Numbers: [81, 2, 28]
Generated Node #2: [81, 2, 28] from Operation: 64-36=28
Current State: 25:[81, 2, 28], Operations: ['64-36=28']
Exploring Operation: 2*28=56, Resulting Numbers: [81, 56]
Generated Node #3: [81, 56] from Operation: 2*28=56
Current State: 25:[81, 56], Operations: ['64-36=28', '2*28=56']
Exploring Operation: 81-56=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
1,
7,
82,
96
] | 91 | [
"1+82=83",
"96-83=13",
"7*13=91"
] | Current State: 91:[1, 7, 82, 96], Operations: []
Exploring Operation: 1+82=83, Resulting Numbers: [7, 96, 83]
Generated Node #2: [7, 96, 83] from Operation: 1+82=83
Current State: 91:[7, 96, 83], Operations: ['1+82=83']
Exploring Operation: 96-83=13, Resulting Numbers: [7, 13]
Generated Node #3: [7, 13] from Operation: 96-83=13
Current State: 91:[7, 13], Operations: ['1+82=83', '96-83=13']
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
15,
7,
17,
11
] | 29 | [
"17-15=2",
"11*2=22",
"7+22=29"
] | Current State: 29:[15, 7, 17, 11], Operations: []
Exploring Operation: 17-15=2, Resulting Numbers: [7, 11, 2]
Generated Node #2: [7, 11, 2] from Operation: 17-15=2
Current State: 29:[7, 11, 2], Operations: ['17-15=2']
Exploring Operation: 11*2=22, Resulting Numbers: [7, 22]
Generated Node #3: [7, 22] from Operation: 11*2=22
Current State: 29:[7, 22], Operations: ['17-15=2', '11*2=22']
Exploring Operation: 7+22=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
84,
22,
48,
30
] | 28 | [
"84+22=106",
"48+30=78",
"106-78=28"
] | Current State: 28:[84, 22, 48, 30], Operations: []
Exploring Operation: 84+22=106, Resulting Numbers: [48, 30, 106]
Generated Node #2: [48, 30, 106] from Operation: 84+22=106
Current State: 28:[48, 30, 106], Operations: ['84+22=106']
Exploring Operation: 48+30=78, Resulting Numbers: [106, 78]
Generated Node #3: [106, 78] from Operation: 48+30=78
Current State: 28:[106, 78], Operations: ['84+22=106', '48+30=78']
Exploring Operation: 106-78=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
26,
4,
38,
21
] | 24 | [
"38-26=12",
"12/4=3",
"21+3=24"
] | Current State: 24:[26, 4, 38, 21], Operations: []
Exploring Operation: 38-26=12, Resulting Numbers: [4, 21, 12]
Generated Node #2: [4, 21, 12] from Operation: 38-26=12
Current State: 24:[4, 21, 12], Operations: ['38-26=12']
Exploring Operation: 12/4=3, Resulting Numbers: [21, 3]
Generated Node #3: [21, 3] from Operation: 12/4=3
Current State: 24:[21, 3], Operations: ['38-26=12', '12/4=3']
Exploring Operation: 21+3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
50,
59,
59,
31
] | 10 | [
"59-50=9",
"59+31=90",
"90/9=10"
] | Current State: 10:[50, 59, 59, 31], Operations: []
Exploring Operation: 59-50=9, Resulting Numbers: [31, 9]
Generated Node #2: [31, 9] from Operation: 59-50=9
Current State: 10:[31, 9], Operations: ['59-50=9']
Exploring Operation: 59+31=90, Resulting Numbers: [9, 90]
Generated Node #3: [9, 90] from Operation: 59+31=90
Current State: 10:[9, 90], Operations: ['59-50=9', '59+31=90']
Exploring Operation: 90/9=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
7,
20,
55,
10
] | 75 | [
"7*20=140",
"55+10=65",
"140-65=75"
] | Current State: 75:[7, 20, 55, 10], Operations: []
Exploring Operation: 7*20=140, Resulting Numbers: [55, 10, 140]
Generated Node #2: [55, 10, 140] from Operation: 7*20=140
Current State: 75:[55, 10, 140], Operations: ['7*20=140']
Exploring Operation: 55+10=65, Resulting Numbers: [140, 65]
Generated Node #3: [140, 65] from Operation: 55+10=65
Current State: 75:[140, 65], Operations: ['7*20=140', '55+10=65']
Exploring Operation: 140-65=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
5,
12,
40,
14
] | 33 | [
"12-5=7",
"40-14=26",
"7+26=33"
] | Current State: 33:[5, 12, 40, 14], Operations: []
Exploring Operation: 12-5=7, Resulting Numbers: [40, 14, 7]
Generated Node #2: [40, 14, 7] from Operation: 12-5=7
Current State: 33:[40, 14, 7], Operations: ['12-5=7']
Exploring Operation: 40-14=26, Resulting Numbers: [7, 26]
Generated Node #3: [7, 26] from Operation: 40-14=26
Current State: 33:[7, 26], Operations: ['12-5=7', '40-14=26']
Exploring Operation: 7+26=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
30,
28,
35,
80
] | 40 | [
"80-30=50",
"28*50=1400",
"1400/35=40"
] | Current State: 40:[30, 28, 35, 80], Operations: []
Exploring Operation: 80-30=50, Resulting Numbers: [28, 35, 50]
Generated Node #2: [28, 35, 50] from Operation: 80-30=50
Current State: 40:[28, 35, 50], Operations: ['80-30=50']
Exploring Operation: 28*50=1400, Resulting Numbers: [35, 1400]
Generated Node #3: [35, 1400] from Operation: 28*50=1400
Current State: 40:[35, 1400], Operations: ['80-30=50', '28*50=1400']
Exploring Operation: 1400/35=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
38,
86,
68,
11
] | 45 | [
"38+86=124",
"68+11=79",
"124-79=45"
] | Current State: 45:[38, 86, 68, 11], Operations: []
Exploring Operation: 38+86=124, Resulting Numbers: [68, 11, 124]
Generated Node #2: [68, 11, 124] from Operation: 38+86=124
Current State: 45:[68, 11, 124], Operations: ['38+86=124']
Exploring Operation: 68+11=79, Resulting Numbers: [124, 79]
Generated Node #3: [124, 79] from Operation: 68+11=79
Current State: 45:[124, 79], Operations: ['38+86=124', '68+11=79']
Exploring Operation: 124-79=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
4,
7,
79,
51
] | 49 | [
"79-51=28",
"28/4=7",
"7*7=49"
] | Current State: 49:[4, 7, 79, 51], Operations: []
Exploring Operation: 79-51=28, Resulting Numbers: [4, 7, 28]
Generated Node #2: [4, 7, 28] from Operation: 79-51=28
Current State: 49:[4, 7, 28], Operations: ['79-51=28']
Exploring Operation: 28/4=7, Resulting Numbers: [7, 7]
Generated Node #3: [7, 7] from Operation: 28/4=7
Current State: 49:[7, 7], Operations: ['79-51=28', '28/4=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
18,
84,
56,
42
] | 88 | [
"18+84=102",
"56-42=14",
"102-14=88"
] | Current State: 88:[18, 84, 56, 42], Operations: []
Exploring Operation: 18+84=102, Resulting Numbers: [56, 42, 102]
Generated Node #2: [56, 42, 102] from Operation: 18+84=102
Current State: 88:[56, 42, 102], Operations: ['18+84=102']
Exploring Operation: 56-42=14, Resulting Numbers: [102, 14]
Generated Node #3: [102, 14] from Operation: 56-42=14
Current State: 88:[102, 14], Operations: ['18+84=102', '56-42=14']
Exploring Operation: 102-14=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
60,
79,
80,
83
] | 99 | [
"83-80=3",
"60/3=20",
"79+20=99"
] | Current State: 99:[60, 79, 80, 83], Operations: []
Exploring Operation: 83-80=3, Resulting Numbers: [60, 79, 3]
Generated Node #2: [60, 79, 3] from Operation: 83-80=3
Current State: 99:[60, 79, 3], Operations: ['83-80=3']
Exploring Operation: 60/3=20, Resulting Numbers: [79, 20]
Generated Node #3: [79, 20] from Operation: 60/3=20
Current State: 99:[79, 20], Operations: ['83-80=3', '60/3=20']
Exploring Operation: 79+20=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
90,
39,
48,
60
] | 39 | [
"90-39=51",
"60-48=12",
"51-12=39"
] | Current State: 39:[90, 39, 48, 60], Operations: []
Exploring Operation: 90-39=51, Resulting Numbers: [48, 60, 51]
Generated Node #2: [48, 60, 51] from Operation: 90-39=51
Current State: 39:[48, 60, 51], Operations: ['90-39=51']
Exploring Operation: 60-48=12, Resulting Numbers: [51, 12]
Generated Node #3: [51, 12] from Operation: 60-48=12
Current State: 39:[51, 12], Operations: ['90-39=51', '60-48=12']
Exploring Operation: 51-12=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
42,
32,
97,
26
] | 95 | [
"42-26=16",
"32/16=2",
"97-2=95"
] | Current State: 95:[42, 32, 97, 26], Operations: []
Exploring Operation: 42-26=16, Resulting Numbers: [32, 97, 16]
Generated Node #2: [32, 97, 16] from Operation: 42-26=16
Current State: 95:[32, 97, 16], Operations: ['42-26=16']
Exploring Operation: 32/16=2, Resulting Numbers: [97, 2]
Generated Node #3: [97, 2] from Operation: 32/16=2
Current State: 95:[97, 2], Operations: ['42-26=16', '32/16=2']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
4,
58,
34,
72
] | 90 | [
"72-58=14",
"4*14=56",
"34+56=90"
] | Current State: 90:[4, 58, 34, 72], Operations: []
Exploring Operation: 72-58=14, Resulting Numbers: [4, 34, 14]
Generated Node #2: [4, 34, 14] from Operation: 72-58=14
Current State: 90:[4, 34, 14], Operations: ['72-58=14']
Exploring Operation: 4*14=56, Resulting Numbers: [34, 56]
Generated Node #3: [34, 56] from Operation: 4*14=56
Current State: 90:[34, 56], Operations: ['72-58=14', '4*14=56']
Exploring Operation: 34+56=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
27,
66,
8,
14
] | 39 | [
"27*14=378",
"378-66=312",
"312/8=39"
] | Current State: 39:[27, 66, 8, 14], Operations: []
Exploring Operation: 27*14=378, Resulting Numbers: [66, 8, 378]
Generated Node #2: [66, 8, 378] from Operation: 27*14=378
Current State: 39:[66, 8, 378], Operations: ['27*14=378']
Exploring Operation: 378-66=312, Resulting Numbers: [8, 312]
Generated Node #3: [8, 312] from Operation: 378-66=312
Current State: 39:[8, 312], Operations: ['27*14=378', '378-66=312']
Exploring Operation: 312/8=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
37,
34,
34,
92
] | 55 | [
"37+34=71",
"34+92=126",
"126-71=55"
] | Current State: 55:[37, 34, 34, 92], Operations: []
Exploring Operation: 37+34=71, Resulting Numbers: [92, 71]
Generated Node #2: [92, 71] from Operation: 37+34=71
Current State: 55:[92, 71], Operations: ['37+34=71']
Exploring Operation: 34+92=126, Resulting Numbers: [71, 126]
Generated Node #3: [71, 126] from Operation: 34+92=126
Current State: 55:[71, 126], Operations: ['37+34=71', '34+92=126']
Exploring Operation: 126-71=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
57,
13,
70,
72
] | 83 | [
"72-70=2",
"13*2=26",
"57+26=83"
] | Current State: 83:[57, 13, 70, 72], Operations: []
Exploring Operation: 72-70=2, Resulting Numbers: [57, 13, 2]
Generated Node #2: [57, 13, 2] from Operation: 72-70=2
Current State: 83:[57, 13, 2], Operations: ['72-70=2']
Exploring Operation: 13*2=26, Resulting Numbers: [57, 26]
Generated Node #3: [57, 26] from Operation: 13*2=26
Current State: 83:[57, 26], Operations: ['72-70=2', '13*2=26']
Exploring Operation: 57+26=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
18,
2,
42,
65
] | 26 | [
"65-18=47",
"42/2=21",
"47-21=26"
] | Current State: 26:[18, 2, 42, 65], Operations: []
Exploring Operation: 65-18=47, Resulting Numbers: [2, 42, 47]
Generated Node #2: [2, 42, 47] from Operation: 65-18=47
Current State: 26:[2, 42, 47], Operations: ['65-18=47']
Exploring Operation: 42/2=21, Resulting Numbers: [47, 21]
Generated Node #3: [47, 21] from Operation: 42/2=21
Current State: 26:[47, 21], Operations: ['65-18=47', '42/2=21']
Exploring Operation: 47-21=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
91,
23,
69,
83
] | 82 | [
"91-23=68",
"83-69=14",
"68+14=82"
] | Current State: 82:[91, 23, 69, 83], Operations: []
Exploring Operation: 91-23=68, Resulting Numbers: [69, 83, 68]
Generated Node #2: [69, 83, 68] from Operation: 91-23=68
Current State: 82:[69, 83, 68], Operations: ['91-23=68']
Exploring Operation: 83-69=14, Resulting Numbers: [68, 14]
Generated Node #3: [68, 14] from Operation: 83-69=14
Current State: 82:[68, 14], Operations: ['91-23=68', '83-69=14']
Exploring Operation: 68+14=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
24,
3,
58,
84
] | 47 | [
"24-3=21",
"84-58=26",
"21+26=47"
] | Current State: 47:[24, 3, 58, 84], Operations: []
Exploring Operation: 24-3=21, Resulting Numbers: [58, 84, 21]
Generated Node #2: [58, 84, 21] from Operation: 24-3=21
Current State: 47:[58, 84, 21], Operations: ['24-3=21']
Exploring Operation: 84-58=26, Resulting Numbers: [21, 26]
Generated Node #3: [21, 26] from Operation: 84-58=26
Current State: 47:[21, 26], Operations: ['24-3=21', '84-58=26']
Exploring Operation: 21+26=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
36,
57,
72,
65
] | 39 | [
"36*72=2592",
"2592-57=2535",
"2535/65=39"
] | Current State: 39:[36, 57, 72, 65], Operations: []
Exploring Operation: 36*72=2592, Resulting Numbers: [57, 65, 2592]
Generated Node #2: [57, 65, 2592] from Operation: 36*72=2592
Current State: 39:[57, 65, 2592], Operations: ['36*72=2592']
Exploring Operation: 2592-57=2535, Resulting Numbers: [65, 2535]
Generated Node #3: [65, 2535] from Operation: 2592-57=2535
Current State: 39:[65, 2535], Operations: ['36*72=2592', '2592-57=2535']
Exploring Operation: 2535/65=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
65,
34,
2,
63
] | 66 | [
"65-63=2",
"34*2=68",
"68-2=66"
] | Current State: 66:[65, 34, 2, 63], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [34, 2, 2]
Generated Node #2: [34, 2, 2] from Operation: 65-63=2
Current State: 66:[34, 2, 2], Operations: ['65-63=2']
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,66 equal: Goal Reached
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
42,
2,
77,
55
] | 51 | [
"55-42=13",
"2*13=26",
"77-26=51"
] | Current State: 51:[42, 2, 77, 55], Operations: []
Exploring Operation: 55-42=13, Resulting Numbers: [2, 77, 13]
Generated Node #2: [2, 77, 13] from Operation: 55-42=13
Current State: 51:[2, 77, 13], Operations: ['55-42=13']
Exploring Operation: 2*13=26, Resulting Numbers: [77, 26]
Generated Node #3: [77, 26] from Operation: 2*13=26
Current State: 51:[77, 26], Operations: ['55-42=13', '2*13=26']
Exploring Operation: 77-26=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
15,
45,
76,
25
] | 81 | [
"45-15=30",
"76-25=51",
"30+51=81"
] | Current State: 81:[15, 45, 76, 25], Operations: []
Exploring Operation: 45-15=30, Resulting Numbers: [76, 25, 30]
Generated Node #2: [76, 25, 30] from Operation: 45-15=30
Current State: 81:[76, 25, 30], Operations: ['45-15=30']
Exploring Operation: 76-25=51, Resulting Numbers: [30, 51]
Generated Node #3: [30, 51] from Operation: 76-25=51
Current State: 81:[30, 51], Operations: ['45-15=30', '76-25=51']
Exploring Operation: 30+51=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
50,
15,
20,
3
] | 88 | [
"50+15=65",
"20+3=23",
"65+23=88"
] | Current State: 88:[50, 15, 20, 3], Operations: []
Exploring Operation: 50+15=65, Resulting Numbers: [20, 3, 65]
Generated Node #2: [20, 3, 65] from Operation: 50+15=65
Current State: 88:[20, 3, 65], Operations: ['50+15=65']
Exploring Operation: 20+3=23, Resulting Numbers: [65, 23]
Generated Node #3: [65, 23] from Operation: 20+3=23
Current State: 88:[65, 23], Operations: ['50+15=65', '20+3=23']
Exploring Operation: 65+23=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
28,
90,
44,
7
] | 42 | [
"28/7=4",
"90-44=46",
"46-4=42"
] | Current State: 42:[28, 90, 44, 7], Operations: []
Exploring Operation: 28/7=4, Resulting Numbers: [90, 44, 4]
Generated Node #2: [90, 44, 4] from Operation: 28/7=4
Current State: 42:[90, 44, 4], Operations: ['28/7=4']
Exploring Operation: 90-44=46, Resulting Numbers: [4, 46]
Generated Node #3: [4, 46] from Operation: 90-44=46
Current State: 42:[4, 46], Operations: ['28/7=4', '90-44=46']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
53,
58,
24,
25
] | 67 | [
"53*25=1325",
"58*24=1392",
"1392-1325=67"
] | Current State: 67:[53, 58, 24, 25], Operations: []
Exploring Operation: 53*25=1325, Resulting Numbers: [58, 24, 1325]
Generated Node #2: [58, 24, 1325] from Operation: 53*25=1325
Current State: 67:[58, 24, 1325], Operations: ['53*25=1325']
Exploring Operation: 58*24=1392, Resulting Numbers: [1325, 1392]
Generated Node #3: [1325, 1392] from Operation: 58*24=1392
Current State: 67:[1325, 1392], Operations: ['53*25=1325', '58*24=1392']
Exploring Operation: 1392-1325=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
46,
87,
6,
48
] | 79 | [
"46+87=133",
"6+48=54",
"133-54=79"
] | Current State: 79:[46, 87, 6, 48], Operations: []
Exploring Operation: 46+87=133, Resulting Numbers: [6, 48, 133]
Generated Node #2: [6, 48, 133] from Operation: 46+87=133
Current State: 79:[6, 48, 133], Operations: ['46+87=133']
Exploring Operation: 6+48=54, Resulting Numbers: [133, 54]
Generated Node #3: [133, 54] from Operation: 6+48=54
Current State: 79:[133, 54], Operations: ['46+87=133', '6+48=54']
Exploring Operation: 133-54=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
96,
93,
28,
89
] | 17 | [
"96-28=68",
"93-89=4",
"68/4=17"
] | Current State: 17:[96, 93, 28, 89], Operations: []
Exploring Operation: 96-28=68, Resulting Numbers: [93, 89, 68]
Generated Node #2: [93, 89, 68] from Operation: 96-28=68
Current State: 17:[93, 89, 68], Operations: ['96-28=68']
Exploring Operation: 93-89=4, Resulting Numbers: [68, 4]
Generated Node #3: [68, 4] from Operation: 93-89=4
Current State: 17:[68, 4], Operations: ['96-28=68', '93-89=4']
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
42,
38,
57,
22
] | 75 | [
"42-38=4",
"57+22=79",
"79-4=75"
] | Current State: 75:[42, 38, 57, 22], Operations: []
Exploring Operation: 42-38=4, Resulting Numbers: [57, 22, 4]
Generated Node #2: [57, 22, 4] from Operation: 42-38=4
Current State: 75:[57, 22, 4], Operations: ['42-38=4']
Exploring Operation: 57+22=79, Resulting Numbers: [4, 79]
Generated Node #3: [4, 79] from Operation: 57+22=79
Current State: 75:[4, 79], Operations: ['42-38=4', '57+22=79']
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
90,
94,
49,
12
] | 65 | [
"94-90=4",
"49+12=61",
"4+61=65"
] | Current State: 65:[90, 94, 49, 12], Operations: []
Exploring Operation: 94-90=4, Resulting Numbers: [49, 12, 4]
Generated Node #2: [49, 12, 4] from Operation: 94-90=4
Current State: 65:[49, 12, 4], Operations: ['94-90=4']
Exploring Operation: 49+12=61, Resulting Numbers: [4, 61]
Generated Node #3: [4, 61] from Operation: 49+12=61
Current State: 65:[4, 61], Operations: ['94-90=4', '49+12=61']
Exploring Operation: 4+61=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
1,
77,
74,
56
] | 28 | [
"77-1=76",
"76-74=2",
"56/2=28"
] | Current State: 28:[1, 77, 74, 56], Operations: []
Exploring Operation: 77-1=76, Resulting Numbers: [74, 56, 76]
Generated Node #2: [74, 56, 76] from Operation: 77-1=76
Current State: 28:[74, 56, 76], Operations: ['77-1=76']
Exploring Operation: 76-74=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 76-74=2
Current State: 28:[56, 2], Operations: ['77-1=76', '76-74=2']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
93,
54,
30,
32
] | 78 | [
"93-54=39",
"32-30=2",
"39*2=78"
] | Current State: 78:[93, 54, 30, 32], Operations: []
Exploring Operation: 93-54=39, Resulting Numbers: [30, 32, 39]
Generated Node #2: [30, 32, 39] from Operation: 93-54=39
Current State: 78:[30, 32, 39], Operations: ['93-54=39']
Exploring Operation: 32-30=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 32-30=2
Current State: 78:[39, 2], Operations: ['93-54=39', '32-30=2']
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
33,
94,
6,
66
] | 30 | [
"94-33=61",
"66-61=5",
"6*5=30"
] | Current State: 30:[33, 94, 6, 66], Operations: []
Exploring Operation: 94-33=61, Resulting Numbers: [6, 66, 61]
Generated Node #2: [6, 66, 61] from Operation: 94-33=61
Current State: 30:[6, 66, 61], Operations: ['94-33=61']
Exploring Operation: 66-61=5, Resulting Numbers: [6, 5]
Generated Node #3: [6, 5] from Operation: 66-61=5
Current State: 30:[6, 5], Operations: ['94-33=61', '66-61=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
98,
44,
4,
69
] | 19 | [
"98-44=54",
"4+69=73",
"73-54=19"
] | Current State: 19:[98, 44, 4, 69], Operations: []
Exploring Operation: 98-44=54, Resulting Numbers: [4, 69, 54]
Generated Node #2: [4, 69, 54] from Operation: 98-44=54
Current State: 19:[4, 69, 54], Operations: ['98-44=54']
Exploring Operation: 4+69=73, Resulting Numbers: [54, 73]
Generated Node #3: [54, 73] from Operation: 4+69=73
Current State: 19:[54, 73], Operations: ['98-44=54', '4+69=73']
Exploring Operation: 73-54=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
92,
69,
13,
78
] | 68 | [
"92-69=23",
"13+78=91",
"91-23=68"
] | Current State: 68:[92, 69, 13, 78], Operations: []
Exploring Operation: 92-69=23, Resulting Numbers: [13, 78, 23]
Generated Node #2: [13, 78, 23] from Operation: 92-69=23
Current State: 68:[13, 78, 23], Operations: ['92-69=23']
Exploring Operation: 13+78=91, Resulting Numbers: [23, 91]
Generated Node #3: [23, 91] from Operation: 13+78=91
Current State: 68:[23, 91], Operations: ['92-69=23', '13+78=91']
Exploring Operation: 91-23=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
32,
28,
58,
28
] | 91 | [
"32+58=90",
"28/28=1",
"90+1=91"
] | Current State: 91:[32, 28, 58, 28], Operations: []
Exploring Operation: 32+58=90, Resulting Numbers: [28, 28, 90]
Generated Node #2: [28, 28, 90] from Operation: 32+58=90
Current State: 91:[28, 28, 90], Operations: ['32+58=90']
Exploring Operation: 28/28=1, Resulting Numbers: [90, 1]
Generated Node #3: [90, 1] from Operation: 28/28=1
Current State: 91:[90, 1], Operations: ['32+58=90', '28/28=1']
Exploring Operation: 90+1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
63,
30,
27,
78
] | 42 | [
"63+30=93",
"78-27=51",
"93-51=42"
] | Current State: 42:[63, 30, 27, 78], Operations: []
Exploring Operation: 63+30=93, Resulting Numbers: [27, 78, 93]
Generated Node #2: [27, 78, 93] from Operation: 63+30=93
Current State: 42:[27, 78, 93], Operations: ['63+30=93']
Exploring Operation: 78-27=51, Resulting Numbers: [93, 51]
Generated Node #3: [93, 51] from Operation: 78-27=51
Current State: 42:[93, 51], Operations: ['63+30=93', '78-27=51']
Exploring Operation: 93-51=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
3,
70,
11,
10
] | 93 | [
"3*11=33",
"70-10=60",
"33+60=93"
] | Current State: 93:[3, 70, 11, 10], Operations: []
Exploring Operation: 3*11=33, Resulting Numbers: [70, 10, 33]
Generated Node #2: [70, 10, 33] from Operation: 3*11=33
Current State: 93:[70, 10, 33], Operations: ['3*11=33']
Exploring Operation: 70-10=60, Resulting Numbers: [33, 60]
Generated Node #3: [33, 60] from Operation: 70-10=60
Current State: 93:[33, 60], Operations: ['3*11=33', '70-10=60']
Exploring Operation: 33+60=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
56,
72,
25,
2
] | 82 | [
"72-56=16",
"25+16=41",
"2*41=82"
] | Current State: 82:[56, 72, 25, 2], Operations: []
Exploring Operation: 72-56=16, Resulting Numbers: [25, 2, 16]
Generated Node #2: [25, 2, 16] from Operation: 72-56=16
Current State: 82:[25, 2, 16], Operations: ['72-56=16']
Exploring Operation: 25+16=41, Resulting Numbers: [2, 41]
Generated Node #3: [2, 41] from Operation: 25+16=41
Current State: 82:[2, 41], Operations: ['72-56=16', '25+16=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
74,
47,
54,
11
] | 70 | [
"74-47=27",
"54-11=43",
"27+43=70"
] | Current State: 70:[74, 47, 54, 11], Operations: []
Exploring Operation: 74-47=27, Resulting Numbers: [54, 11, 27]
Generated Node #2: [54, 11, 27] from Operation: 74-47=27
Current State: 70:[54, 11, 27], Operations: ['74-47=27']
Exploring Operation: 54-11=43, Resulting Numbers: [27, 43]
Generated Node #3: [27, 43] from Operation: 54-11=43
Current State: 70:[27, 43], Operations: ['74-47=27', '54-11=43']
Exploring Operation: 27+43=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
32,
82,
53,
94
] | 64 | [
"32*82=2624",
"94-53=41",
"2624/41=64"
] | Current State: 64:[32, 82, 53, 94], Operations: []
Exploring Operation: 32*82=2624, Resulting Numbers: [53, 94, 2624]
Generated Node #2: [53, 94, 2624] from Operation: 32*82=2624
Current State: 64:[53, 94, 2624], Operations: ['32*82=2624']
Exploring Operation: 94-53=41, Resulting Numbers: [2624, 41]
Generated Node #3: [2624, 41] from Operation: 94-53=41
Current State: 64:[2624, 41], Operations: ['32*82=2624', '94-53=41']
Exploring Operation: 2624/41=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
2,
4,
14,
9
] | 12 | [
"14-2=12",
"12/4=3",
"9+3=12"
] | Current State: 12:[2, 4, 14, 9], Operations: []
Exploring Operation: 14-2=12, Resulting Numbers: [4, 9, 12]
Generated Node #2: [4, 9, 12] from Operation: 14-2=12
Current State: 12:[4, 9, 12], Operations: ['14-2=12']
Exploring Operation: 12/4=3, Resulting Numbers: [9, 3]
Generated Node #3: [9, 3] from Operation: 12/4=3
Current State: 12:[9, 3], Operations: ['14-2=12', '12/4=3']
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
18,
3,
54,
37
] | 73 | [
"18+37=55",
"54/3=18",
"55+18=73"
] | Current State: 73:[18, 3, 54, 37], Operations: []
Exploring Operation: 18+37=55, Resulting Numbers: [3, 54, 55]
Generated Node #2: [3, 54, 55] from Operation: 18+37=55
Current State: 73:[3, 54, 55], Operations: ['18+37=55']
Exploring Operation: 54/3=18, Resulting Numbers: [55, 18]
Generated Node #3: [55, 18] from Operation: 54/3=18
Current State: 73:[55, 18], Operations: ['18+37=55', '54/3=18']
Exploring Operation: 55+18=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
94,
36,
51,
6
] | 71 | [
"94+51=145",
"36*6=216",
"216-145=71"
] | Current State: 71:[94, 36, 51, 6], Operations: []
Exploring Operation: 94+51=145, Resulting Numbers: [36, 6, 145]
Generated Node #2: [36, 6, 145] from Operation: 94+51=145
Current State: 71:[36, 6, 145], Operations: ['94+51=145']
Exploring Operation: 36*6=216, Resulting Numbers: [145, 216]
Generated Node #3: [145, 216] from Operation: 36*6=216
Current State: 71:[145, 216], Operations: ['94+51=145', '36*6=216']
Exploring Operation: 216-145=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
14,
27,
3,
50
] | 94 | [
"14+27=41",
"3+50=53",
"41+53=94"
] | Current State: 94:[14, 27, 3, 50], Operations: []
Exploring Operation: 14+27=41, Resulting Numbers: [3, 50, 41]
Generated Node #2: [3, 50, 41] from Operation: 14+27=41
Current State: 94:[3, 50, 41], Operations: ['14+27=41']
Exploring Operation: 3+50=53, Resulting Numbers: [41, 53]
Generated Node #3: [41, 53] from Operation: 3+50=53
Current State: 94:[41, 53], Operations: ['14+27=41', '3+50=53']
Exploring Operation: 41+53=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
11,
53,
37,
8
] | 40 | [
"53-11=42",
"42-37=5",
"8*5=40"
] | Current State: 40:[11, 53, 37, 8], Operations: []
Exploring Operation: 53-11=42, Resulting Numbers: [37, 8, 42]
Generated Node #2: [37, 8, 42] from Operation: 53-11=42
Current State: 40:[37, 8, 42], Operations: ['53-11=42']
Exploring Operation: 42-37=5, Resulting Numbers: [8, 5]
Generated Node #3: [8, 5] from Operation: 42-37=5
Current State: 40:[8, 5], Operations: ['53-11=42', '42-37=5']
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
14,
1,
45,
59
] | 62 | [
"14+1=15",
"45/15=3",
"59+3=62"
] | Current State: 62:[14, 1, 45, 59], Operations: []
Exploring Operation: 14+1=15, Resulting Numbers: [45, 59, 15]
Generated Node #2: [45, 59, 15] from Operation: 14+1=15
Current State: 62:[45, 59, 15], Operations: ['14+1=15']
Exploring Operation: 45/15=3, Resulting Numbers: [59, 3]
Generated Node #3: [59, 3] from Operation: 45/15=3
Current State: 62:[59, 3], Operations: ['14+1=15', '45/15=3']
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
5,
69,
85,
58
] | 30 | [
"69-58=11",
"5*11=55",
"85-55=30"
] | Current State: 30:[5, 69, 85, 58], Operations: []
Exploring Operation: 69-58=11, Resulting Numbers: [5, 85, 11]
Generated Node #2: [5, 85, 11] from Operation: 69-58=11
Current State: 30:[5, 85, 11], Operations: ['69-58=11']
Exploring Operation: 5*11=55, Resulting Numbers: [85, 55]
Generated Node #3: [85, 55] from Operation: 5*11=55
Current State: 30:[85, 55], Operations: ['69-58=11', '5*11=55']
Exploring Operation: 85-55=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
33,
2,
10,
49
] | 55 | [
"33+10=43",
"2*49=98",
"98-43=55"
] | Current State: 55:[33, 2, 10, 49], Operations: []
Exploring Operation: 33+10=43, Resulting Numbers: [2, 49, 43]
Generated Node #2: [2, 49, 43] from Operation: 33+10=43
Current State: 55:[2, 49, 43], Operations: ['33+10=43']
Exploring Operation: 2*49=98, Resulting Numbers: [43, 98]
Generated Node #3: [43, 98] from Operation: 2*49=98
Current State: 55:[43, 98], Operations: ['33+10=43', '2*49=98']
Exploring Operation: 98-43=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
96,
24,
5,
97
] | 97 | [
"96/24=4",
"5-4=1",
"97*1=97"
] | Current State: 97:[96, 24, 5, 97], Operations: []
Exploring Operation: 96/24=4, Resulting Numbers: [5, 97, 4]
Generated Node #2: [5, 97, 4] from Operation: 96/24=4
Current State: 97:[5, 97, 4], Operations: ['96/24=4']
Exploring Operation: 5-4=1, Resulting Numbers: [97, 1]
Generated Node #3: [97, 1] from Operation: 5-4=1
Current State: 97:[97, 1], Operations: ['96/24=4', '5-4=1']
Exploring Operation: 97*1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
72,
1,
17,
5
] | 49 | [
"72-1=71",
"17+5=22",
"71-22=49"
] | Current State: 49:[72, 1, 17, 5], Operations: []
Exploring Operation: 72-1=71, Resulting Numbers: [17, 5, 71]
Generated Node #2: [17, 5, 71] from Operation: 72-1=71
Current State: 49:[17, 5, 71], Operations: ['72-1=71']
Exploring Operation: 17+5=22, Resulting Numbers: [71, 22]
Generated Node #3: [71, 22] from Operation: 17+5=22
Current State: 49:[71, 22], Operations: ['72-1=71', '17+5=22']
Exploring Operation: 71-22=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
33,
2,
57,
52
] | 36 | [
"33-2=31",
"57-52=5",
"31+5=36"
] | Current State: 36:[33, 2, 57, 52], Operations: []
Exploring Operation: 33-2=31, Resulting Numbers: [57, 52, 31]
Generated Node #2: [57, 52, 31] from Operation: 33-2=31
Current State: 36:[57, 52, 31], Operations: ['33-2=31']
Exploring Operation: 57-52=5, Resulting Numbers: [31, 5]
Generated Node #3: [31, 5] from Operation: 57-52=5
Current State: 36:[31, 5], Operations: ['33-2=31', '57-52=5']
Exploring Operation: 31+5=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
27,
2,
19,
50
] | 48 | [
"27+19=46",
"50+46=96",
"96/2=48"
] | Current State: 48:[27, 2, 19, 50], Operations: []
Exploring Operation: 27+19=46, Resulting Numbers: [2, 50, 46]
Generated Node #2: [2, 50, 46] from Operation: 27+19=46
Current State: 48:[2, 50, 46], Operations: ['27+19=46']
Exploring Operation: 50+46=96, Resulting Numbers: [2, 96]
Generated Node #3: [2, 96] from Operation: 50+46=96
Current State: 48:[2, 96], Operations: ['27+19=46', '50+46=96']
Exploring Operation: 96/2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
78,
9,
37,
19
] | 13 | [
"78-9=69",
"37+19=56",
"69-56=13"
] | Current State: 13:[78, 9, 37, 19], Operations: []
Exploring Operation: 78-9=69, Resulting Numbers: [37, 19, 69]
Generated Node #2: [37, 19, 69] from Operation: 78-9=69
Current State: 13:[37, 19, 69], Operations: ['78-9=69']
Exploring Operation: 37+19=56, Resulting Numbers: [69, 56]
Generated Node #3: [69, 56] from Operation: 37+19=56
Current State: 13:[69, 56], Operations: ['78-9=69', '37+19=56']
Exploring Operation: 69-56=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
94,
98,
41,
74
] | 37 | [
"98-94=4",
"74-41=33",
"4+33=37"
] | Current State: 37:[94, 98, 41, 74], Operations: []
Exploring Operation: 98-94=4, Resulting Numbers: [41, 74, 4]
Generated Node #2: [41, 74, 4] from Operation: 98-94=4
Current State: 37:[41, 74, 4], Operations: ['98-94=4']
Exploring Operation: 74-41=33, Resulting Numbers: [4, 33]
Generated Node #3: [4, 33] from Operation: 74-41=33
Current State: 37:[4, 33], Operations: ['98-94=4', '74-41=33']
Exploring Operation: 4+33=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
28,
2,
11,
16
] | 35 | [
"28+2=30",
"16-11=5",
"30+5=35"
] | Current State: 35:[28, 2, 11, 16], Operations: []
Exploring Operation: 28+2=30, Resulting Numbers: [11, 16, 30]
Generated Node #2: [11, 16, 30] from Operation: 28+2=30
Current State: 35:[11, 16, 30], Operations: ['28+2=30']
Exploring Operation: 16-11=5, Resulting Numbers: [30, 5]
Generated Node #3: [30, 5] from Operation: 16-11=5
Current State: 35:[30, 5], Operations: ['28+2=30', '16-11=5']
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
3,
63,
4,
8
] | 71 | [
"4-3=1",
"63+8=71",
"1*71=71"
] | Current State: 71:[3, 63, 4, 8], Operations: []
Exploring Operation: 4-3=1, Resulting Numbers: [63, 8, 1]
Generated Node #2: [63, 8, 1] from Operation: 4-3=1
Current State: 71:[63, 8, 1], Operations: ['4-3=1']
Exploring Operation: 63+8=71, Resulting Numbers: [1, 71]
Generated Node #3: [1, 71] from Operation: 63+8=71
Current State: 71:[1, 71], Operations: ['4-3=1', '63+8=71']
Exploring Operation: 1*71=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
39,
7,
16,
70
] | 13 | [
"39-16=23",
"70/7=10",
"23-10=13"
] | Current State: 13:[39, 7, 16, 70], Operations: []
Exploring Operation: 39-16=23, Resulting Numbers: [7, 70, 23]
Generated Node #2: [7, 70, 23] from Operation: 39-16=23
Current State: 13:[7, 70, 23], Operations: ['39-16=23']
Exploring Operation: 70/7=10, Resulting Numbers: [23, 10]
Generated Node #3: [23, 10] from Operation: 70/7=10
Current State: 13:[23, 10], Operations: ['39-16=23', '70/7=10']
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
10,
67,
14,
2
] | 75 | [
"10*14=140",
"67-2=65",
"140-65=75"
] | Current State: 75:[10, 67, 14, 2], Operations: []
Exploring Operation: 10*14=140, Resulting Numbers: [67, 2, 140]
Generated Node #2: [67, 2, 140] from Operation: 10*14=140
Current State: 75:[67, 2, 140], Operations: ['10*14=140']
Exploring Operation: 67-2=65, Resulting Numbers: [140, 65]
Generated Node #3: [140, 65] from Operation: 67-2=65
Current State: 75:[140, 65], Operations: ['10*14=140', '67-2=65']
Exploring Operation: 140-65=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
30,
17,
36,
39
] | 14 | [
"30*17=510",
"36+510=546",
"546/39=14"
] | Current State: 14:[30, 17, 36, 39], Operations: []
Exploring Operation: 30*17=510, Resulting Numbers: [36, 39, 510]
Generated Node #2: [36, 39, 510] from Operation: 30*17=510
Current State: 14:[36, 39, 510], Operations: ['30*17=510']
Exploring Operation: 36+510=546, Resulting Numbers: [39, 546]
Generated Node #3: [39, 546] from Operation: 36+510=546
Current State: 14:[39, 546], Operations: ['30*17=510', '36+510=546']
Exploring Operation: 546/39=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
81,
73,
65,
57
] | 16 | [
"81-73=8",
"65-57=8",
"8+8=16"
] | Current State: 16:[81, 73, 65, 57], Operations: []
Exploring Operation: 81-73=8, Resulting Numbers: [65, 57, 8]
Generated Node #2: [65, 57, 8] from Operation: 81-73=8
Current State: 16:[65, 57, 8], Operations: ['81-73=8']
Exploring Operation: 65-57=8, Resulting Numbers: [8, 8]
Generated Node #3: [8, 8] from Operation: 65-57=8
Current State: 16:[8, 8], Operations: ['81-73=8', '65-57=8']
Exploring Operation: 8+8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
12,
3,
98,
94
] | 16 | [
"12/3=4",
"98-94=4",
"4*4=16"
] | Current State: 16:[12, 3, 98, 94], Operations: []
Exploring Operation: 12/3=4, Resulting Numbers: [98, 94, 4]
Generated Node #2: [98, 94, 4] from Operation: 12/3=4
Current State: 16:[98, 94, 4], Operations: ['12/3=4']
Exploring Operation: 98-94=4, Resulting Numbers: [4, 4]
Generated Node #3: [4, 4] from Operation: 98-94=4
Current State: 16:[4, 4], Operations: ['12/3=4', '98-94=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
69,
3,
77,
95
] | 41 | [
"69/3=23",
"95-77=18",
"23+18=41"
] | Current State: 41:[69, 3, 77, 95], Operations: []
Exploring Operation: 69/3=23, Resulting Numbers: [77, 95, 23]
Generated Node #2: [77, 95, 23] from Operation: 69/3=23
Current State: 41:[77, 95, 23], Operations: ['69/3=23']
Exploring Operation: 95-77=18, Resulting Numbers: [23, 18]
Generated Node #3: [23, 18] from Operation: 95-77=18
Current State: 41:[23, 18], Operations: ['69/3=23', '95-77=18']
Exploring Operation: 23+18=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
16,
73,
90,
19
] | 53 | [
"16*90=1440",
"73*19=1387",
"1440-1387=53"
] | Current State: 53:[16, 73, 90, 19], Operations: []
Exploring Operation: 16*90=1440, Resulting Numbers: [73, 19, 1440]
Generated Node #2: [73, 19, 1440] from Operation: 16*90=1440
Current State: 53:[73, 19, 1440], Operations: ['16*90=1440']
Exploring Operation: 73*19=1387, Resulting Numbers: [1440, 1387]
Generated Node #3: [1440, 1387] from Operation: 73*19=1387
Current State: 53:[1440, 1387], Operations: ['16*90=1440', '73*19=1387']
Exploring Operation: 1440-1387=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
32,
2,
43,
38
] | 56 | [
"32+43=75",
"38/2=19",
"75-19=56"
] | Current State: 56:[32, 2, 43, 38], Operations: []
Exploring Operation: 32+43=75, Resulting Numbers: [2, 38, 75]
Generated Node #2: [2, 38, 75] from Operation: 32+43=75
Current State: 56:[2, 38, 75], Operations: ['32+43=75']
Exploring Operation: 38/2=19, Resulting Numbers: [75, 19]
Generated Node #3: [75, 19] from Operation: 38/2=19
Current State: 56:[75, 19], Operations: ['32+43=75', '38/2=19']
Exploring Operation: 75-19=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
94,
42,
4,
6
] | 68 | [
"94+42=136",
"6-4=2",
"136/2=68"
] | Current State: 68:[94, 42, 4, 6], Operations: []
Exploring Operation: 94+42=136, Resulting Numbers: [4, 6, 136]
Generated Node #2: [4, 6, 136] from Operation: 94+42=136
Current State: 68:[4, 6, 136], Operations: ['94+42=136']
Exploring Operation: 6-4=2, Resulting Numbers: [136, 2]
Generated Node #3: [136, 2] from Operation: 6-4=2
Current State: 68:[136, 2], Operations: ['94+42=136', '6-4=2']
Exploring Operation: 136/2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
45,
54,
6,
40
] | 35 | [
"45*6=270",
"270/54=5",
"40-5=35"
] | Current State: 35:[45, 54, 6, 40], Operations: []
Exploring Operation: 45*6=270, Resulting Numbers: [54, 40, 270]
Generated Node #2: [54, 40, 270] from Operation: 45*6=270
Current State: 35:[54, 40, 270], Operations: ['45*6=270']
Exploring Operation: 270/54=5, Resulting Numbers: [40, 5]
Generated Node #3: [40, 5] from Operation: 270/54=5
Current State: 35:[40, 5], Operations: ['45*6=270', '270/54=5']
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
20,
65,
60,
92
] | 53 | [
"20+65=85",
"92-60=32",
"85-32=53"
] | Current State: 53:[20, 65, 60, 92], Operations: []
Exploring Operation: 20+65=85, Resulting Numbers: [60, 92, 85]
Generated Node #2: [60, 92, 85] from Operation: 20+65=85
Current State: 53:[60, 92, 85], Operations: ['20+65=85']
Exploring Operation: 92-60=32, Resulting Numbers: [85, 32]
Generated Node #3: [85, 32] from Operation: 92-60=32
Current State: 53:[85, 32], Operations: ['20+65=85', '92-60=32']
Exploring Operation: 85-32=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
77,
71,
21,
6
] | 93 | [
"77*6=462",
"462/21=22",
"71+22=93"
] | Current State: 93:[77, 71, 21, 6], Operations: []
Exploring Operation: 77*6=462, Resulting Numbers: [71, 21, 462]
Generated Node #2: [71, 21, 462] from Operation: 77*6=462
Current State: 93:[71, 21, 462], Operations: ['77*6=462']
Exploring Operation: 462/21=22, Resulting Numbers: [71, 22]
Generated Node #3: [71, 22] from Operation: 462/21=22
Current State: 93:[71, 22], Operations: ['77*6=462', '462/21=22']
Exploring Operation: 71+22=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
24,
91,
22,
72
] | 66 | [
"72/24=3",
"91-22=69",
"69-3=66"
] | Current State: 66:[24, 91, 22, 72], Operations: []
Exploring Operation: 72/24=3, Resulting Numbers: [91, 22, 3]
Generated Node #2: [91, 22, 3] from Operation: 72/24=3
Current State: 66:[91, 22, 3], Operations: ['72/24=3']
Exploring Operation: 91-22=69, Resulting Numbers: [3, 69]
Generated Node #3: [3, 69] from Operation: 91-22=69
Current State: 66:[3, 69], Operations: ['72/24=3', '91-22=69']
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
81,
59,
13,
9
] | 63 | [
"81/9=9",
"59+13=72",
"72-9=63"
] | Current State: 63:[81, 59, 13, 9], Operations: []
Exploring Operation: 81/9=9, Resulting Numbers: [59, 13, 9]
Generated Node #2: [59, 13, 9] from Operation: 81/9=9
Current State: 63:[59, 13, 9], Operations: ['81/9=9']
Exploring Operation: 59+13=72, Resulting Numbers: [9, 72]
Generated Node #3: [9, 72] from Operation: 59+13=72
Current State: 63:[9, 72], Operations: ['81/9=9', '59+13=72']
Exploring Operation: 72-9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
68,
91,
89,
22
] | 23 | [
"68-22=46",
"91-89=2",
"46/2=23"
] | Current State: 23:[68, 91, 89, 22], Operations: []
Exploring Operation: 68-22=46, Resulting Numbers: [91, 89, 46]
Generated Node #2: [91, 89, 46] from Operation: 68-22=46
Current State: 23:[91, 89, 46], Operations: ['68-22=46']
Exploring Operation: 91-89=2, Resulting Numbers: [46, 2]
Generated Node #3: [46, 2] from Operation: 91-89=2
Current State: 23:[46, 2], Operations: ['68-22=46', '91-89=2']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
49,
29,
7,
9
] | 39 | [
"49+29=78",
"9-7=2",
"78/2=39"
] | Current State: 39:[49, 29, 7, 9], Operations: []
Exploring Operation: 49+29=78, Resulting Numbers: [7, 9, 78]
Generated Node #2: [7, 9, 78] from Operation: 49+29=78
Current State: 39:[7, 9, 78], Operations: ['49+29=78']
Exploring Operation: 9-7=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 9-7=2
Current State: 39:[78, 2], Operations: ['49+29=78', '9-7=2']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
61,
36,
59,
14
] | 25 | [
"61-59=2",
"36+14=50",
"50/2=25"
] | Current State: 25:[61, 36, 59, 14], Operations: []
Exploring Operation: 61-59=2, Resulting Numbers: [36, 14, 2]
Generated Node #2: [36, 14, 2] from Operation: 61-59=2
Current State: 25:[36, 14, 2], Operations: ['61-59=2']
Exploring Operation: 36+14=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 36+14=50
Current State: 25:[2, 50], Operations: ['61-59=2', '36+14=50']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
4,
13,
7,
47
] | 94 | [
"13-4=9",
"9-7=2",
"47*2=94"
] | Current State: 94:[4, 13, 7, 47], Operations: []
Exploring Operation: 13-4=9, Resulting Numbers: [7, 47, 9]
Generated Node #2: [7, 47, 9] from Operation: 13-4=9
Current State: 94:[7, 47, 9], Operations: ['13-4=9']
Exploring Operation: 9-7=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 9-7=2
Current State: 94:[47, 2], Operations: ['13-4=9', '9-7=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
50,
27,
66,
3
] | 57 | [
"50*3=150",
"27+66=93",
"150-93=57"
] | Current State: 57:[50, 27, 66, 3], Operations: []
Exploring Operation: 50*3=150, Resulting Numbers: [27, 66, 150]
Generated Node #2: [27, 66, 150] from Operation: 50*3=150
Current State: 57:[27, 66, 150], Operations: ['50*3=150']
Exploring Operation: 27+66=93, Resulting Numbers: [150, 93]
Generated Node #3: [150, 93] from Operation: 27+66=93
Current State: 57:[150, 93], Operations: ['50*3=150', '27+66=93']
Exploring Operation: 150-93=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
49,
47,
98,
73
] | 71 | [
"49+47=96",
"98-73=25",
"96-25=71"
] | Current State: 71:[49, 47, 98, 73], Operations: []
Exploring Operation: 49+47=96, Resulting Numbers: [98, 73, 96]
Generated Node #2: [98, 73, 96] from Operation: 49+47=96
Current State: 71:[98, 73, 96], Operations: ['49+47=96']
Exploring Operation: 98-73=25, Resulting Numbers: [96, 25]
Generated Node #3: [96, 25] from Operation: 98-73=25
Current State: 71:[96, 25], Operations: ['49+47=96', '98-73=25']
Exploring Operation: 96-25=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
11,
25,
5,
90
] | 60 | [
"11*5=55",
"25+90=115",
"115-55=60"
] | Current State: 60:[11, 25, 5, 90], Operations: []
Exploring Operation: 11*5=55, Resulting Numbers: [25, 90, 55]
Generated Node #2: [25, 90, 55] from Operation: 11*5=55
Current State: 60:[25, 90, 55], Operations: ['11*5=55']
Exploring Operation: 25+90=115, Resulting Numbers: [55, 115]
Generated Node #3: [55, 115] from Operation: 25+90=115
Current State: 60:[55, 115], Operations: ['11*5=55', '25+90=115']
Exploring Operation: 115-55=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
63,
60,
23,
66
] | 40 | [
"63-60=3",
"66-23=43",
"43-3=40"
] | Current State: 40:[63, 60, 23, 66], Operations: []
Exploring Operation: 63-60=3, Resulting Numbers: [23, 66, 3]
Generated Node #2: [23, 66, 3] from Operation: 63-60=3
Current State: 40:[23, 66, 3], Operations: ['63-60=3']
Exploring Operation: 66-23=43, Resulting Numbers: [3, 43]
Generated Node #3: [3, 43] from Operation: 66-23=43
Current State: 40:[3, 43], Operations: ['63-60=3', '66-23=43']
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
3,
81,
70,
46
] | 89 | [
"81/3=27",
"70+46=116",
"116-27=89"
] | Current State: 89:[3, 81, 70, 46], Operations: []
Exploring Operation: 81/3=27, Resulting Numbers: [70, 46, 27]
Generated Node #2: [70, 46, 27] from Operation: 81/3=27
Current State: 89:[70, 46, 27], Operations: ['81/3=27']
Exploring Operation: 70+46=116, Resulting Numbers: [27, 116]
Generated Node #3: [27, 116] from Operation: 70+46=116
Current State: 89:[27, 116], Operations: ['81/3=27', '70+46=116']
Exploring Operation: 116-27=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
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