nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
4,
43,
12,
7
] | 99 | [
"12-4=8",
"7*8=56",
"43+56=99"
] | Current State: 99:[4, 43, 12, 7], Operations: []
Exploring Operation: 12-4=8, Resulting Numbers: [43, 7, 8]
Generated Node #2: [43, 7, 8] from Operation: 12-4=8
Current State: 99:[43, 7, 8], Operations: ['12-4=8']
Exploring Operation: 7*8=56, Resulting Numbers: [43, 56]
Generated Node #3: [43, 56] from Operation: 7*8=56
Current State: 99:[43, 56], Operations: ['12-4=8', '7*8=56']
Exploring Operation: 43+56=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
70,
45,
33,
75
] | 53 | [
"70*33=2310",
"75+2310=2385",
"2385/45=53"
] | Current State: 53:[70, 45, 33, 75], Operations: []
Exploring Operation: 70*33=2310, Resulting Numbers: [45, 75, 2310]
Generated Node #2: [45, 75, 2310] from Operation: 70*33=2310
Current State: 53:[45, 75, 2310], Operations: ['70*33=2310']
Exploring Operation: 75+2310=2385, Resulting Numbers: [45, 2385]
Generated Node #3: [45, 2385] from Operation: 75+2310=2385
Current State: 53:[45, 2385], Operations: ['70*33=2310', '75+2310=2385']
Exploring Operation: 2385/45=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
81,
3,
97,
42
] | 99 | [
"81+3=84",
"84/42=2",
"97+2=99"
] | Current State: 99:[81, 3, 97, 42], Operations: []
Exploring Operation: 81+3=84, Resulting Numbers: [97, 42, 84]
Generated Node #2: [97, 42, 84] from Operation: 81+3=84
Current State: 99:[97, 42, 84], Operations: ['81+3=84']
Exploring Operation: 84/42=2, Resulting Numbers: [97, 2]
Generated Node #3: [97, 2] from Operation: 84/42=2
Current State: 99:[97, 2], Operations: ['81+3=84', '84/42=2']
Exploring Operation: 97+2=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
95,
42,
24,
6
] | 49 | [
"95-42=53",
"24/6=4",
"53-4=49"
] | Current State: 49:[95, 42, 24, 6], Operations: []
Exploring Operation: 95-42=53, Resulting Numbers: [24, 6, 53]
Generated Node #2: [24, 6, 53] from Operation: 95-42=53
Current State: 49:[24, 6, 53], Operations: ['95-42=53']
Exploring Operation: 24/6=4, Resulting Numbers: [53, 4]
Generated Node #3: [53, 4] from Operation: 24/6=4
Current State: 49:[53, 4], Operations: ['95-42=53', '24/6=4']
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
32,
24,
61,
29
] | 53 | [
"32-29=3",
"24/3=8",
"61-8=53"
] | Current State: 53:[32, 24, 61, 29], Operations: []
Exploring Operation: 32-29=3, Resulting Numbers: [24, 61, 3]
Generated Node #2: [24, 61, 3] from Operation: 32-29=3
Current State: 53:[24, 61, 3], Operations: ['32-29=3']
Exploring Operation: 24/3=8, Resulting Numbers: [61, 8]
Generated Node #3: [61, 8] from Operation: 24/3=8
Current State: 53:[61, 8], Operations: ['32-29=3', '24/3=8']
Exploring Operation: 61-8=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
47,
43,
14,
85
] | 29 | [
"47-43=4",
"14*4=56",
"85-56=29"
] | Current State: 29:[47, 43, 14, 85], Operations: []
Exploring Operation: 47-43=4, Resulting Numbers: [14, 85, 4]
Generated Node #2: [14, 85, 4] from Operation: 47-43=4
Current State: 29:[14, 85, 4], Operations: ['47-43=4']
Exploring Operation: 14*4=56, Resulting Numbers: [85, 56]
Generated Node #3: [85, 56] from Operation: 14*4=56
Current State: 29:[85, 56], Operations: ['47-43=4', '14*4=56']
Exploring Operation: 85-56=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
71,
59,
44,
71
] | 39 | [
"71-59=12",
"71-44=27",
"12+27=39"
] | Current State: 39:[71, 59, 44, 71], Operations: []
Exploring Operation: 71-59=12, Resulting Numbers: [44, 12]
Generated Node #2: [44, 12] from Operation: 71-59=12
Current State: 39:[44, 12], Operations: ['71-59=12']
Exploring Operation: 71-44=27, Resulting Numbers: [12, 27]
Generated Node #3: [12, 27] from Operation: 71-44=27
Current State: 39:[12, 27], Operations: ['71-59=12', '71-44=27']
Exploring Operation: 12+27=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
63,
41,
41,
48
] | 48 | [
"41-41=0",
"63*0=0",
"48+0=48"
] | Current State: 48:[63, 41, 41, 48], Operations: []
Exploring Operation: 41-41=0, Resulting Numbers: [63, 48, 0]
Generated Node #2: [63, 48, 0] from Operation: 41-41=0
Current State: 48:[63, 48, 0], Operations: ['41-41=0']
Exploring Operation: 63*0=0, Resulting Numbers: [48, 0]
Generated Node #3: [48, 0] from Operation: 63*0=0
Current State: 48:[48, 0], Operations: ['41-41=0', '63*0=0']
Exploring Operation: 48+0=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
30,
23,
78,
47
] | 84 | [
"30+23=53",
"78-47=31",
"53+31=84"
] | Current State: 84:[30, 23, 78, 47], Operations: []
Exploring Operation: 30+23=53, Resulting Numbers: [78, 47, 53]
Generated Node #2: [78, 47, 53] from Operation: 30+23=53
Current State: 84:[78, 47, 53], Operations: ['30+23=53']
Exploring Operation: 78-47=31, Resulting Numbers: [53, 31]
Generated Node #3: [53, 31] from Operation: 78-47=31
Current State: 84:[53, 31], Operations: ['30+23=53', '78-47=31']
Exploring Operation: 53+31=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
37,
8,
86,
85
] | 29 | [
"37-8=29",
"86-85=1",
"29*1=29"
] | Current State: 29:[37, 8, 86, 85], Operations: []
Exploring Operation: 37-8=29, Resulting Numbers: [86, 85, 29]
Generated Node #2: [86, 85, 29] from Operation: 37-8=29
Current State: 29:[86, 85, 29], Operations: ['37-8=29']
Exploring Operation: 86-85=1, Resulting Numbers: [29, 1]
Generated Node #3: [29, 1] from Operation: 86-85=1
Current State: 29:[29, 1], Operations: ['37-8=29', '86-85=1']
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
20,
1,
2,
20
] | 58 | [
"20-1=19",
"2*19=38",
"20+38=58"
] | Current State: 58:[20, 1, 2, 20], Operations: []
Exploring Operation: 20-1=19, Resulting Numbers: [2, 19]
Generated Node #2: [2, 19] from Operation: 20-1=19
Current State: 58:[2, 19], Operations: ['20-1=19']
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,58 equal: Goal Reached
Exploring Operation: 20+38=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
18,
25,
19,
66
] | 14 | [
"18+66=84",
"25-19=6",
"84/6=14"
] | Current State: 14:[18, 25, 19, 66], Operations: []
Exploring Operation: 18+66=84, Resulting Numbers: [25, 19, 84]
Generated Node #2: [25, 19, 84] from Operation: 18+66=84
Current State: 14:[25, 19, 84], Operations: ['18+66=84']
Exploring Operation: 25-19=6, Resulting Numbers: [84, 6]
Generated Node #3: [84, 6] from Operation: 25-19=6
Current State: 14:[84, 6], Operations: ['18+66=84', '25-19=6']
Exploring Operation: 84/6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
13,
37,
48,
48
] | 46 | [
"13+37=50",
"48+48=96",
"96-50=46"
] | Current State: 46:[13, 37, 48, 48], Operations: []
Exploring Operation: 13+37=50, Resulting Numbers: [48, 48, 50]
Generated Node #2: [48, 48, 50] from Operation: 13+37=50
Current State: 46:[48, 48, 50], Operations: ['13+37=50']
Exploring Operation: 48+48=96, Resulting Numbers: [50, 96]
Generated Node #3: [50, 96] from Operation: 48+48=96
Current State: 46:[50, 96], Operations: ['13+37=50', '48+48=96']
Exploring Operation: 96-50=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
25,
85,
99,
75
] | 84 | [
"85-25=60",
"99-75=24",
"60+24=84"
] | Current State: 84:[25, 85, 99, 75], Operations: []
Exploring Operation: 85-25=60, Resulting Numbers: [99, 75, 60]
Generated Node #2: [99, 75, 60] from Operation: 85-25=60
Current State: 84:[99, 75, 60], Operations: ['85-25=60']
Exploring Operation: 99-75=24, Resulting Numbers: [60, 24]
Generated Node #3: [60, 24] from Operation: 99-75=24
Current State: 84:[60, 24], Operations: ['85-25=60', '99-75=24']
Exploring Operation: 60+24=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
85,
24,
59,
70
] | 76 | [
"85+59=144",
"144/24=6",
"70+6=76"
] | Current State: 76:[85, 24, 59, 70], Operations: []
Exploring Operation: 85+59=144, Resulting Numbers: [24, 70, 144]
Generated Node #2: [24, 70, 144] from Operation: 85+59=144
Current State: 76:[24, 70, 144], Operations: ['85+59=144']
Exploring Operation: 144/24=6, Resulting Numbers: [70, 6]
Generated Node #3: [70, 6] from Operation: 144/24=6
Current State: 76:[70, 6], Operations: ['85+59=144', '144/24=6']
Exploring Operation: 70+6=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
82,
28,
17,
58
] | 12 | [
"82+58=140",
"140/28=5",
"17-5=12"
] | Current State: 12:[82, 28, 17, 58], Operations: []
Exploring Operation: 82+58=140, Resulting Numbers: [28, 17, 140]
Generated Node #2: [28, 17, 140] from Operation: 82+58=140
Current State: 12:[28, 17, 140], Operations: ['82+58=140']
Exploring Operation: 140/28=5, Resulting Numbers: [17, 5]
Generated Node #3: [17, 5] from Operation: 140/28=5
Current State: 12:[17, 5], Operations: ['82+58=140', '140/28=5']
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
65,
80,
41,
18
] | 38 | [
"80-65=15",
"41-18=23",
"15+23=38"
] | Current State: 38:[65, 80, 41, 18], Operations: []
Exploring Operation: 80-65=15, Resulting Numbers: [41, 18, 15]
Generated Node #2: [41, 18, 15] from Operation: 80-65=15
Current State: 38:[41, 18, 15], Operations: ['80-65=15']
Exploring Operation: 41-18=23, Resulting Numbers: [15, 23]
Generated Node #3: [15, 23] from Operation: 41-18=23
Current State: 38:[15, 23], Operations: ['80-65=15', '41-18=23']
Exploring Operation: 15+23=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
6,
67,
67,
91
] | 85 | [
"6+67=73",
"67+91=158",
"158-73=85"
] | Current State: 85:[6, 67, 67, 91], Operations: []
Exploring Operation: 6+67=73, Resulting Numbers: [91, 73]
Generated Node #2: [91, 73] from Operation: 6+67=73
Current State: 85:[91, 73], Operations: ['6+67=73']
Exploring Operation: 67+91=158, Resulting Numbers: [73, 158]
Generated Node #3: [73, 158] from Operation: 67+91=158
Current State: 85:[73, 158], Operations: ['6+67=73', '67+91=158']
Exploring Operation: 158-73=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
37,
7,
55,
64
] | 35 | [
"37+7=44",
"64-55=9",
"44-9=35"
] | Current State: 35:[37, 7, 55, 64], Operations: []
Exploring Operation: 37+7=44, Resulting Numbers: [55, 64, 44]
Generated Node #2: [55, 64, 44] from Operation: 37+7=44
Current State: 35:[55, 64, 44], Operations: ['37+7=44']
Exploring Operation: 64-55=9, Resulting Numbers: [44, 9]
Generated Node #3: [44, 9] from Operation: 64-55=9
Current State: 35:[44, 9], Operations: ['37+7=44', '64-55=9']
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
46,
7,
18,
9
] | 14 | [
"46-18=28",
"9-7=2",
"28/2=14"
] | Current State: 14:[46, 7, 18, 9], Operations: []
Exploring Operation: 46-18=28, Resulting Numbers: [7, 9, 28]
Generated Node #2: [7, 9, 28] from Operation: 46-18=28
Current State: 14:[7, 9, 28], Operations: ['46-18=28']
Exploring Operation: 9-7=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 9-7=2
Current State: 14:[28, 2], Operations: ['46-18=28', '9-7=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
8,
97,
21,
19
] | 32 | [
"97-21=76",
"8*76=608",
"608/19=32"
] | Current State: 32:[8, 97, 21, 19], Operations: []
Exploring Operation: 97-21=76, Resulting Numbers: [8, 19, 76]
Generated Node #2: [8, 19, 76] from Operation: 97-21=76
Current State: 32:[8, 19, 76], Operations: ['97-21=76']
Exploring Operation: 8*76=608, Resulting Numbers: [19, 608]
Generated Node #3: [19, 608] from Operation: 8*76=608
Current State: 32:[19, 608], Operations: ['97-21=76', '8*76=608']
Exploring Operation: 608/19=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
15,
46,
59,
49
] | 41 | [
"46-15=31",
"59-49=10",
"31+10=41"
] | Current State: 41:[15, 46, 59, 49], Operations: []
Exploring Operation: 46-15=31, Resulting Numbers: [59, 49, 31]
Generated Node #2: [59, 49, 31] from Operation: 46-15=31
Current State: 41:[59, 49, 31], Operations: ['46-15=31']
Exploring Operation: 59-49=10, Resulting Numbers: [31, 10]
Generated Node #3: [31, 10] from Operation: 59-49=10
Current State: 41:[31, 10], Operations: ['46-15=31', '59-49=10']
Exploring Operation: 31+10=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
53,
6,
49,
86
] | 43 | [
"53-6=47",
"49-47=2",
"86/2=43"
] | Current State: 43:[53, 6, 49, 86], Operations: []
Exploring Operation: 53-6=47, Resulting Numbers: [49, 86, 47]
Generated Node #2: [49, 86, 47] from Operation: 53-6=47
Current State: 43:[49, 86, 47], Operations: ['53-6=47']
Exploring Operation: 49-47=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 49-47=2
Current State: 43:[86, 2], Operations: ['53-6=47', '49-47=2']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
33,
39,
17,
15
] | 10 | [
"39-17=22",
"15*22=330",
"330/33=10"
] | Current State: 10:[33, 39, 17, 15], Operations: []
Exploring Operation: 39-17=22, Resulting Numbers: [33, 15, 22]
Generated Node #2: [33, 15, 22] from Operation: 39-17=22
Current State: 10:[33, 15, 22], Operations: ['39-17=22']
Exploring Operation: 15*22=330, Resulting Numbers: [33, 330]
Generated Node #3: [33, 330] from Operation: 15*22=330
Current State: 10:[33, 330], Operations: ['39-17=22', '15*22=330']
Exploring Operation: 330/33=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
27,
77,
11,
68
] | 54 | [
"77-11=66",
"68-66=2",
"27*2=54"
] | Current State: 54:[27, 77, 11, 68], Operations: []
Exploring Operation: 77-11=66, Resulting Numbers: [27, 68, 66]
Generated Node #2: [27, 68, 66] from Operation: 77-11=66
Current State: 54:[27, 68, 66], Operations: ['77-11=66']
Exploring Operation: 68-66=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 68-66=2
Current State: 54:[27, 2], Operations: ['77-11=66', '68-66=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
82,
29,
57,
91
] | 19 | [
"82-29=53",
"91-57=34",
"53-34=19"
] | Current State: 19:[82, 29, 57, 91], Operations: []
Exploring Operation: 82-29=53, Resulting Numbers: [57, 91, 53]
Generated Node #2: [57, 91, 53] from Operation: 82-29=53
Current State: 19:[57, 91, 53], Operations: ['82-29=53']
Exploring Operation: 91-57=34, Resulting Numbers: [53, 34]
Generated Node #3: [53, 34] from Operation: 91-57=34
Current State: 19:[53, 34], Operations: ['82-29=53', '91-57=34']
Exploring Operation: 53-34=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
77,
14,
48,
7
] | 19 | [
"14*48=672",
"672/7=96",
"96-77=19"
] | Current State: 19:[77, 14, 48, 7], Operations: []
Exploring Operation: 14*48=672, Resulting Numbers: [77, 7, 672]
Generated Node #2: [77, 7, 672] from Operation: 14*48=672
Current State: 19:[77, 7, 672], Operations: ['14*48=672']
Exploring Operation: 672/7=96, Resulting Numbers: [77, 96]
Generated Node #3: [77, 96] from Operation: 672/7=96
Current State: 19:[77, 96], Operations: ['14*48=672', '672/7=96']
Exploring Operation: 96-77=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
75,
31,
9,
2
] | 95 | [
"75+31=106",
"9+2=11",
"106-11=95"
] | Current State: 95:[75, 31, 9, 2], Operations: []
Exploring Operation: 75+31=106, Resulting Numbers: [9, 2, 106]
Generated Node #2: [9, 2, 106] from Operation: 75+31=106
Current State: 95:[9, 2, 106], Operations: ['75+31=106']
Exploring Operation: 9+2=11, Resulting Numbers: [106, 11]
Generated Node #3: [106, 11] from Operation: 9+2=11
Current State: 95:[106, 11], Operations: ['75+31=106', '9+2=11']
Exploring Operation: 106-11=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
90,
4,
6,
92
] | 81 | [
"90/6=15",
"4+92=96",
"96-15=81"
] | Current State: 81:[90, 4, 6, 92], Operations: []
Exploring Operation: 90/6=15, Resulting Numbers: [4, 92, 15]
Generated Node #2: [4, 92, 15] from Operation: 90/6=15
Current State: 81:[4, 92, 15], Operations: ['90/6=15']
Exploring Operation: 4+92=96, Resulting Numbers: [15, 96]
Generated Node #3: [15, 96] from Operation: 4+92=96
Current State: 81:[15, 96], Operations: ['90/6=15', '4+92=96']
Exploring Operation: 96-15=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
47,
67,
54,
84
] | 24 | [
"47+67=114",
"54+84=138",
"138-114=24"
] | Current State: 24:[47, 67, 54, 84], Operations: []
Exploring Operation: 47+67=114, Resulting Numbers: [54, 84, 114]
Generated Node #2: [54, 84, 114] from Operation: 47+67=114
Current State: 24:[54, 84, 114], Operations: ['47+67=114']
Exploring Operation: 54+84=138, Resulting Numbers: [114, 138]
Generated Node #3: [114, 138] from Operation: 54+84=138
Current State: 24:[114, 138], Operations: ['47+67=114', '54+84=138']
Exploring Operation: 138-114=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
70,
88,
41,
87
] | 29 | [
"70-41=29",
"88-87=1",
"29*1=29"
] | Current State: 29:[70, 88, 41, 87], Operations: []
Exploring Operation: 70-41=29, Resulting Numbers: [88, 87, 29]
Generated Node #2: [88, 87, 29] from Operation: 70-41=29
Current State: 29:[88, 87, 29], Operations: ['70-41=29']
Exploring Operation: 88-87=1, Resulting Numbers: [29, 1]
Generated Node #3: [29, 1] from Operation: 88-87=1
Current State: 29:[29, 1], Operations: ['70-41=29', '88-87=1']
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
84,
88,
3,
40
] | 30 | [
"88-84=4",
"3*40=120",
"120/4=30"
] | Current State: 30:[84, 88, 3, 40], Operations: []
Exploring Operation: 88-84=4, Resulting Numbers: [3, 40, 4]
Generated Node #2: [3, 40, 4] from Operation: 88-84=4
Current State: 30:[3, 40, 4], Operations: ['88-84=4']
Exploring Operation: 3*40=120, Resulting Numbers: [4, 120]
Generated Node #3: [4, 120] from Operation: 3*40=120
Current State: 30:[4, 120], Operations: ['88-84=4', '3*40=120']
Exploring Operation: 120/4=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
85,
57,
25,
38
] | 91 | [
"85-57=28",
"25+38=63",
"28+63=91"
] | Current State: 91:[85, 57, 25, 38], Operations: []
Exploring Operation: 85-57=28, Resulting Numbers: [25, 38, 28]
Generated Node #2: [25, 38, 28] from Operation: 85-57=28
Current State: 91:[25, 38, 28], Operations: ['85-57=28']
Exploring Operation: 25+38=63, Resulting Numbers: [28, 63]
Generated Node #3: [28, 63] from Operation: 25+38=63
Current State: 91:[28, 63], Operations: ['85-57=28', '25+38=63']
Exploring Operation: 28+63=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
6,
40,
79,
41
] | 20 | [
"79+41=120",
"120/6=20",
"40-20=20"
] | Current State: 20:[6, 40, 79, 41], Operations: []
Exploring Operation: 79+41=120, Resulting Numbers: [6, 40, 120]
Generated Node #2: [6, 40, 120] from Operation: 79+41=120
Current State: 20:[6, 40, 120], Operations: ['79+41=120']
Exploring Operation: 120/6=20, Resulting Numbers: [40, 20]
Generated Node #3: [40, 20] from Operation: 120/6=20
Current State: 20:[40, 20], Operations: ['79+41=120', '120/6=20']
Exploring Operation: 40-20=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
2,
13,
16,
98
] | 78 | [
"13-2=11",
"16*11=176",
"176-98=78"
] | Current State: 78:[2, 13, 16, 98], Operations: []
Exploring Operation: 13-2=11, Resulting Numbers: [16, 98, 11]
Generated Node #2: [16, 98, 11] from Operation: 13-2=11
Current State: 78:[16, 98, 11], Operations: ['13-2=11']
Exploring Operation: 16*11=176, Resulting Numbers: [98, 176]
Generated Node #3: [98, 176] from Operation: 16*11=176
Current State: 78:[98, 176], Operations: ['13-2=11', '16*11=176']
Exploring Operation: 176-98=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
78,
30,
73,
85
] | 79 | [
"78-73=5",
"30/5=6",
"85-6=79"
] | Current State: 79:[78, 30, 73, 85], Operations: []
Exploring Operation: 78-73=5, Resulting Numbers: [30, 85, 5]
Generated Node #2: [30, 85, 5] from Operation: 78-73=5
Current State: 79:[30, 85, 5], Operations: ['78-73=5']
Exploring Operation: 30/5=6, Resulting Numbers: [85, 6]
Generated Node #3: [85, 6] from Operation: 30/5=6
Current State: 79:[85, 6], Operations: ['78-73=5', '30/5=6']
Exploring Operation: 85-6=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
41,
51,
4,
5
] | 72 | [
"41+51=92",
"4*5=20",
"92-20=72"
] | Current State: 72:[41, 51, 4, 5], Operations: []
Exploring Operation: 41+51=92, Resulting Numbers: [4, 5, 92]
Generated Node #2: [4, 5, 92] from Operation: 41+51=92
Current State: 72:[4, 5, 92], Operations: ['41+51=92']
Exploring Operation: 4*5=20, Resulting Numbers: [92, 20]
Generated Node #3: [92, 20] from Operation: 4*5=20
Current State: 72:[92, 20], Operations: ['41+51=92', '4*5=20']
Exploring Operation: 92-20=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
72,
60,
9,
78
] | 57 | [
"72-60=12",
"78-9=69",
"69-12=57"
] | Current State: 57:[72, 60, 9, 78], Operations: []
Exploring Operation: 72-60=12, Resulting Numbers: [9, 78, 12]
Generated Node #2: [9, 78, 12] from Operation: 72-60=12
Current State: 57:[9, 78, 12], Operations: ['72-60=12']
Exploring Operation: 78-9=69, Resulting Numbers: [12, 69]
Generated Node #3: [12, 69] from Operation: 78-9=69
Current State: 57:[12, 69], Operations: ['72-60=12', '78-9=69']
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
12,
63,
89,
24
] | 28 | [
"24/12=2",
"89-63=26",
"2+26=28"
] | Current State: 28:[12, 63, 89, 24], Operations: []
Exploring Operation: 24/12=2, Resulting Numbers: [63, 89, 2]
Generated Node #2: [63, 89, 2] from Operation: 24/12=2
Current State: 28:[63, 89, 2], Operations: ['24/12=2']
Exploring Operation: 89-63=26, Resulting Numbers: [2, 26]
Generated Node #3: [2, 26] from Operation: 89-63=26
Current State: 28:[2, 26], Operations: ['24/12=2', '89-63=26']
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
3,
81,
31,
65
] | 50 | [
"3+81=84",
"65-31=34",
"84-34=50"
] | Current State: 50:[3, 81, 31, 65], Operations: []
Exploring Operation: 3+81=84, Resulting Numbers: [31, 65, 84]
Generated Node #2: [31, 65, 84] from Operation: 3+81=84
Current State: 50:[31, 65, 84], Operations: ['3+81=84']
Exploring Operation: 65-31=34, Resulting Numbers: [84, 34]
Generated Node #3: [84, 34] from Operation: 65-31=34
Current State: 50:[84, 34], Operations: ['3+81=84', '65-31=34']
Exploring Operation: 84-34=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
77,
6,
46,
16
] | 65 | [
"77-46=31",
"6*16=96",
"96-31=65"
] | Current State: 65:[77, 6, 46, 16], Operations: []
Exploring Operation: 77-46=31, Resulting Numbers: [6, 16, 31]
Generated Node #2: [6, 16, 31] from Operation: 77-46=31
Current State: 65:[6, 16, 31], Operations: ['77-46=31']
Exploring Operation: 6*16=96, Resulting Numbers: [31, 96]
Generated Node #3: [31, 96] from Operation: 6*16=96
Current State: 65:[31, 96], Operations: ['77-46=31', '6*16=96']
Exploring Operation: 96-31=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
45,
82,
47,
32
] | 57 | [
"47-45=2",
"82+32=114",
"114/2=57"
] | Current State: 57:[45, 82, 47, 32], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [82, 32, 2]
Generated Node #2: [82, 32, 2] from Operation: 47-45=2
Current State: 57:[82, 32, 2], Operations: ['47-45=2']
Exploring Operation: 82+32=114, Resulting Numbers: [2, 114]
Generated Node #3: [2, 114] from Operation: 82+32=114
Current State: 57:[2, 114], Operations: ['47-45=2', '82+32=114']
Exploring Operation: 114/2=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
45,
60,
54,
30
] | 81 | [
"45+60=105",
"54-30=24",
"105-24=81"
] | Current State: 81:[45, 60, 54, 30], Operations: []
Exploring Operation: 45+60=105, Resulting Numbers: [54, 30, 105]
Generated Node #2: [54, 30, 105] from Operation: 45+60=105
Current State: 81:[54, 30, 105], Operations: ['45+60=105']
Exploring Operation: 54-30=24, Resulting Numbers: [105, 24]
Generated Node #3: [105, 24] from Operation: 54-30=24
Current State: 81:[105, 24], Operations: ['45+60=105', '54-30=24']
Exploring Operation: 105-24=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
2,
41,
3,
23
] | 55 | [
"3*23=69",
"41+69=110",
"110/2=55"
] | Current State: 55:[2, 41, 3, 23], Operations: []
Exploring Operation: 3*23=69, Resulting Numbers: [2, 41, 69]
Generated Node #2: [2, 41, 69] from Operation: 3*23=69
Current State: 55:[2, 41, 69], Operations: ['3*23=69']
Exploring Operation: 41+69=110, Resulting Numbers: [2, 110]
Generated Node #3: [2, 110] from Operation: 41+69=110
Current State: 55:[2, 110], Operations: ['3*23=69', '41+69=110']
Exploring Operation: 110/2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
1,
21,
74,
36
] | 42 | [
"1+36=37",
"21*74=1554",
"1554/37=42"
] | Current State: 42:[1, 21, 74, 36], Operations: []
Exploring Operation: 1+36=37, Resulting Numbers: [21, 74, 37]
Generated Node #2: [21, 74, 37] from Operation: 1+36=37
Current State: 42:[21, 74, 37], Operations: ['1+36=37']
Exploring Operation: 21*74=1554, Resulting Numbers: [37, 1554]
Generated Node #3: [37, 1554] from Operation: 21*74=1554
Current State: 42:[37, 1554], Operations: ['1+36=37', '21*74=1554']
Exploring Operation: 1554/37=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
93,
36,
7,
25
] | 39 | [
"93-36=57",
"25-7=18",
"57-18=39"
] | Current State: 39:[93, 36, 7, 25], Operations: []
Exploring Operation: 93-36=57, Resulting Numbers: [7, 25, 57]
Generated Node #2: [7, 25, 57] from Operation: 93-36=57
Current State: 39:[7, 25, 57], Operations: ['93-36=57']
Exploring Operation: 25-7=18, Resulting Numbers: [57, 18]
Generated Node #3: [57, 18] from Operation: 25-7=18
Current State: 39:[57, 18], Operations: ['93-36=57', '25-7=18']
Exploring Operation: 57-18=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
58,
84,
90,
42
] | 51 | [
"90-84=6",
"42/6=7",
"58-7=51"
] | Current State: 51:[58, 84, 90, 42], Operations: []
Exploring Operation: 90-84=6, Resulting Numbers: [58, 42, 6]
Generated Node #2: [58, 42, 6] from Operation: 90-84=6
Current State: 51:[58, 42, 6], Operations: ['90-84=6']
Exploring Operation: 42/6=7, Resulting Numbers: [58, 7]
Generated Node #3: [58, 7] from Operation: 42/6=7
Current State: 51:[58, 7], Operations: ['90-84=6', '42/6=7']
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
24,
23,
16,
35
] | 51 | [
"24-23=1",
"16+35=51",
"1*51=51"
] | Current State: 51:[24, 23, 16, 35], Operations: []
Exploring Operation: 24-23=1, Resulting Numbers: [16, 35, 1]
Generated Node #2: [16, 35, 1] from Operation: 24-23=1
Current State: 51:[16, 35, 1], Operations: ['24-23=1']
Exploring Operation: 16+35=51, Resulting Numbers: [1, 51]
Generated Node #3: [1, 51] from Operation: 16+35=51
Current State: 51:[1, 51], Operations: ['24-23=1', '16+35=51']
Exploring Operation: 1*51=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
78,
6,
21,
22
] | 70 | [
"78-22=56",
"6*21=126",
"126-56=70"
] | Current State: 70:[78, 6, 21, 22], Operations: []
Exploring Operation: 78-22=56, Resulting Numbers: [6, 21, 56]
Generated Node #2: [6, 21, 56] from Operation: 78-22=56
Current State: 70:[6, 21, 56], Operations: ['78-22=56']
Exploring Operation: 6*21=126, Resulting Numbers: [56, 126]
Generated Node #3: [56, 126] from Operation: 6*21=126
Current State: 70:[56, 126], Operations: ['78-22=56', '6*21=126']
Exploring Operation: 126-56=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
16,
10,
38,
31
] | 48 | [
"38-10=28",
"31-28=3",
"16*3=48"
] | Current State: 48:[16, 10, 38, 31], Operations: []
Exploring Operation: 38-10=28, Resulting Numbers: [16, 31, 28]
Generated Node #2: [16, 31, 28] from Operation: 38-10=28
Current State: 48:[16, 31, 28], Operations: ['38-10=28']
Exploring Operation: 31-28=3, Resulting Numbers: [16, 3]
Generated Node #3: [16, 3] from Operation: 31-28=3
Current State: 48:[16, 3], Operations: ['38-10=28', '31-28=3']
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
10,
73,
81,
29
] | 84 | [
"81+29=110",
"110/10=11",
"73+11=84"
] | Current State: 84:[10, 73, 81, 29], Operations: []
Exploring Operation: 81+29=110, Resulting Numbers: [10, 73, 110]
Generated Node #2: [10, 73, 110] from Operation: 81+29=110
Current State: 84:[10, 73, 110], Operations: ['81+29=110']
Exploring Operation: 110/10=11, Resulting Numbers: [73, 11]
Generated Node #3: [73, 11] from Operation: 110/10=11
Current State: 84:[73, 11], Operations: ['81+29=110', '110/10=11']
Exploring Operation: 73+11=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
80,
22,
98,
91
] | 95 | [
"80+22=102",
"98-91=7",
"102-7=95"
] | Current State: 95:[80, 22, 98, 91], Operations: []
Exploring Operation: 80+22=102, Resulting Numbers: [98, 91, 102]
Generated Node #2: [98, 91, 102] from Operation: 80+22=102
Current State: 95:[98, 91, 102], Operations: ['80+22=102']
Exploring Operation: 98-91=7, Resulting Numbers: [102, 7]
Generated Node #3: [102, 7] from Operation: 98-91=7
Current State: 95:[102, 7], Operations: ['80+22=102', '98-91=7']
Exploring Operation: 102-7=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
21,
12,
62,
6
] | 89 | [
"21+12=33",
"62-6=56",
"33+56=89"
] | Current State: 89:[21, 12, 62, 6], Operations: []
Exploring Operation: 21+12=33, Resulting Numbers: [62, 6, 33]
Generated Node #2: [62, 6, 33] from Operation: 21+12=33
Current State: 89:[62, 6, 33], Operations: ['21+12=33']
Exploring Operation: 62-6=56, Resulting Numbers: [33, 56]
Generated Node #3: [33, 56] from Operation: 62-6=56
Current State: 89:[33, 56], Operations: ['21+12=33', '62-6=56']
Exploring Operation: 33+56=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
23,
23,
24,
21
] | 94 | [
"23+24=47",
"23-21=2",
"47*2=94"
] | Current State: 94:[23, 23, 24, 21], Operations: []
Exploring Operation: 23+24=47, Resulting Numbers: [21, 47]
Generated Node #2: [21, 47] from Operation: 23+24=47
Current State: 94:[21, 47], Operations: ['23+24=47']
Exploring Operation: 23-21=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 23-21=2
Current State: 94:[47, 2], Operations: ['23+24=47', '23-21=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
41,
8,
52,
47
] | 50 | [
"41+8=49",
"52+47=99",
"99-49=50"
] | Current State: 50:[41, 8, 52, 47], Operations: []
Exploring Operation: 41+8=49, Resulting Numbers: [52, 47, 49]
Generated Node #2: [52, 47, 49] from Operation: 41+8=49
Current State: 50:[52, 47, 49], Operations: ['41+8=49']
Exploring Operation: 52+47=99, Resulting Numbers: [49, 99]
Generated Node #3: [49, 99] from Operation: 52+47=99
Current State: 50:[49, 99], Operations: ['41+8=49', '52+47=99']
Exploring Operation: 99-49=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
60,
48,
24,
40
] | 56 | [
"48*40=1920",
"1920/60=32",
"24+32=56"
] | Current State: 56:[60, 48, 24, 40], Operations: []
Exploring Operation: 48*40=1920, Resulting Numbers: [60, 24, 1920]
Generated Node #2: [60, 24, 1920] from Operation: 48*40=1920
Current State: 56:[60, 24, 1920], Operations: ['48*40=1920']
Exploring Operation: 1920/60=32, Resulting Numbers: [24, 32]
Generated Node #3: [24, 32] from Operation: 1920/60=32
Current State: 56:[24, 32], Operations: ['48*40=1920', '1920/60=32']
Exploring Operation: 24+32=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
50,
65,
11,
92
] | 66 | [
"65-50=15",
"92-11=81",
"81-15=66"
] | Current State: 66:[50, 65, 11, 92], Operations: []
Exploring Operation: 65-50=15, Resulting Numbers: [11, 92, 15]
Generated Node #2: [11, 92, 15] from Operation: 65-50=15
Current State: 66:[11, 92, 15], Operations: ['65-50=15']
Exploring Operation: 92-11=81, Resulting Numbers: [15, 81]
Generated Node #3: [15, 81] from Operation: 92-11=81
Current State: 66:[15, 81], Operations: ['65-50=15', '92-11=81']
Exploring Operation: 81-15=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
48,
51,
80,
4
] | 17 | [
"51-48=3",
"80/4=20",
"20-3=17"
] | Current State: 17:[48, 51, 80, 4], Operations: []
Exploring Operation: 51-48=3, Resulting Numbers: [80, 4, 3]
Generated Node #2: [80, 4, 3] from Operation: 51-48=3
Current State: 17:[80, 4, 3], Operations: ['51-48=3']
Exploring Operation: 80/4=20, Resulting Numbers: [3, 20]
Generated Node #3: [3, 20] from Operation: 80/4=20
Current State: 17:[3, 20], Operations: ['51-48=3', '80/4=20']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
74,
72,
23,
43
] | 10 | [
"74-72=2",
"43-23=20",
"20/2=10"
] | Current State: 10:[74, 72, 23, 43], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [23, 43, 2]
Generated Node #2: [23, 43, 2] from Operation: 74-72=2
Current State: 10:[23, 43, 2], Operations: ['74-72=2']
Exploring Operation: 43-23=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 43-23=20
Current State: 10:[2, 20], Operations: ['74-72=2', '43-23=20']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
44,
78,
25,
3
] | 76 | [
"25-3=22",
"44/22=2",
"78-2=76"
] | Current State: 76:[44, 78, 25, 3], Operations: []
Exploring Operation: 25-3=22, Resulting Numbers: [44, 78, 22]
Generated Node #2: [44, 78, 22] from Operation: 25-3=22
Current State: 76:[44, 78, 22], Operations: ['25-3=22']
Exploring Operation: 44/22=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 44/22=2
Current State: 76:[78, 2], Operations: ['25-3=22', '44/22=2']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
46,
19,
48,
53
] | 69 | [
"19+53=72",
"46*72=3312",
"3312/48=69"
] | Current State: 69:[46, 19, 48, 53], Operations: []
Exploring Operation: 19+53=72, Resulting Numbers: [46, 48, 72]
Generated Node #2: [46, 48, 72] from Operation: 19+53=72
Current State: 69:[46, 48, 72], Operations: ['19+53=72']
Exploring Operation: 46*72=3312, Resulting Numbers: [48, 3312]
Generated Node #3: [48, 3312] from Operation: 46*72=3312
Current State: 69:[48, 3312], Operations: ['19+53=72', '46*72=3312']
Exploring Operation: 3312/48=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
85,
67,
46,
20
] | 86 | [
"85+67=152",
"46+20=66",
"152-66=86"
] | Current State: 86:[85, 67, 46, 20], Operations: []
Exploring Operation: 85+67=152, Resulting Numbers: [46, 20, 152]
Generated Node #2: [46, 20, 152] from Operation: 85+67=152
Current State: 86:[46, 20, 152], Operations: ['85+67=152']
Exploring Operation: 46+20=66, Resulting Numbers: [152, 66]
Generated Node #3: [152, 66] from Operation: 46+20=66
Current State: 86:[152, 66], Operations: ['85+67=152', '46+20=66']
Exploring Operation: 152-66=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
42,
63,
82,
90
] | 97 | [
"42+63=105",
"90-82=8",
"105-8=97"
] | Current State: 97:[42, 63, 82, 90], Operations: []
Exploring Operation: 42+63=105, Resulting Numbers: [82, 90, 105]
Generated Node #2: [82, 90, 105] from Operation: 42+63=105
Current State: 97:[82, 90, 105], Operations: ['42+63=105']
Exploring Operation: 90-82=8, Resulting Numbers: [105, 8]
Generated Node #3: [105, 8] from Operation: 90-82=8
Current State: 97:[105, 8], Operations: ['42+63=105', '90-82=8']
Exploring Operation: 105-8=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
6,
71,
75,
55
] | 96 | [
"71+55=126",
"126/6=21",
"75+21=96"
] | Current State: 96:[6, 71, 75, 55], Operations: []
Exploring Operation: 71+55=126, Resulting Numbers: [6, 75, 126]
Generated Node #2: [6, 75, 126] from Operation: 71+55=126
Current State: 96:[6, 75, 126], Operations: ['71+55=126']
Exploring Operation: 126/6=21, Resulting Numbers: [75, 21]
Generated Node #3: [75, 21] from Operation: 126/6=21
Current State: 96:[75, 21], Operations: ['71+55=126', '126/6=21']
Exploring Operation: 75+21=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
47,
22,
59,
34
] | 68 | [
"47-22=25",
"59+34=93",
"93-25=68"
] | Current State: 68:[47, 22, 59, 34], Operations: []
Exploring Operation: 47-22=25, Resulting Numbers: [59, 34, 25]
Generated Node #2: [59, 34, 25] from Operation: 47-22=25
Current State: 68:[59, 34, 25], Operations: ['47-22=25']
Exploring Operation: 59+34=93, Resulting Numbers: [25, 93]
Generated Node #3: [25, 93] from Operation: 59+34=93
Current State: 68:[25, 93], Operations: ['47-22=25', '59+34=93']
Exploring Operation: 93-25=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
54,
55,
97,
4
] | 94 | [
"55-54=1",
"97-4=93",
"1+93=94"
] | Current State: 94:[54, 55, 97, 4], Operations: []
Exploring Operation: 55-54=1, Resulting Numbers: [97, 4, 1]
Generated Node #2: [97, 4, 1] from Operation: 55-54=1
Current State: 94:[97, 4, 1], Operations: ['55-54=1']
Exploring Operation: 97-4=93, Resulting Numbers: [1, 93]
Generated Node #3: [1, 93] from Operation: 97-4=93
Current State: 94:[1, 93], Operations: ['55-54=1', '97-4=93']
Exploring Operation: 1+93=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
20,
19,
47,
9
] | 22 | [
"47-20=27",
"27/9=3",
"19+3=22"
] | Current State: 22:[20, 19, 47, 9], Operations: []
Exploring Operation: 47-20=27, Resulting Numbers: [19, 9, 27]
Generated Node #2: [19, 9, 27] from Operation: 47-20=27
Current State: 22:[19, 9, 27], Operations: ['47-20=27']
Exploring Operation: 27/9=3, Resulting Numbers: [19, 3]
Generated Node #3: [19, 3] from Operation: 27/9=3
Current State: 22:[19, 3], Operations: ['47-20=27', '27/9=3']
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
16,
25,
49,
93
] | 85 | [
"16+25=41",
"93-49=44",
"41+44=85"
] | Current State: 85:[16, 25, 49, 93], Operations: []
Exploring Operation: 16+25=41, Resulting Numbers: [49, 93, 41]
Generated Node #2: [49, 93, 41] from Operation: 16+25=41
Current State: 85:[49, 93, 41], Operations: ['16+25=41']
Exploring Operation: 93-49=44, Resulting Numbers: [41, 44]
Generated Node #3: [41, 44] from Operation: 93-49=44
Current State: 85:[41, 44], Operations: ['16+25=41', '93-49=44']
Exploring Operation: 41+44=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
45,
10,
97,
72
] | 60 | [
"45-10=35",
"97-72=25",
"35+25=60"
] | Current State: 60:[45, 10, 97, 72], Operations: []
Exploring Operation: 45-10=35, Resulting Numbers: [97, 72, 35]
Generated Node #2: [97, 72, 35] from Operation: 45-10=35
Current State: 60:[97, 72, 35], Operations: ['45-10=35']
Exploring Operation: 97-72=25, Resulting Numbers: [35, 25]
Generated Node #3: [35, 25] from Operation: 97-72=25
Current State: 60:[35, 25], Operations: ['45-10=35', '97-72=25']
Exploring Operation: 35+25=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
81,
19,
37,
64
] | 22 | [
"64-37=27",
"81/27=3",
"19+3=22"
] | Current State: 22:[81, 19, 37, 64], Operations: []
Exploring Operation: 64-37=27, Resulting Numbers: [81, 19, 27]
Generated Node #2: [81, 19, 27] from Operation: 64-37=27
Current State: 22:[81, 19, 27], Operations: ['64-37=27']
Exploring Operation: 81/27=3, Resulting Numbers: [19, 3]
Generated Node #3: [19, 3] from Operation: 81/27=3
Current State: 22:[19, 3], Operations: ['64-37=27', '81/27=3']
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
28,
88,
9,
68
] | 32 | [
"28*88=2464",
"9+68=77",
"2464/77=32"
] | Current State: 32:[28, 88, 9, 68], Operations: []
Exploring Operation: 28*88=2464, Resulting Numbers: [9, 68, 2464]
Generated Node #2: [9, 68, 2464] from Operation: 28*88=2464
Current State: 32:[9, 68, 2464], Operations: ['28*88=2464']
Exploring Operation: 9+68=77, Resulting Numbers: [2464, 77]
Generated Node #3: [2464, 77] from Operation: 9+68=77
Current State: 32:[2464, 77], Operations: ['28*88=2464', '9+68=77']
Exploring Operation: 2464/77=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
69,
79,
13,
25
] | 77 | [
"79+25=104",
"104/13=8",
"69+8=77"
] | Current State: 77:[69, 79, 13, 25], Operations: []
Exploring Operation: 79+25=104, Resulting Numbers: [69, 13, 104]
Generated Node #2: [69, 13, 104] from Operation: 79+25=104
Current State: 77:[69, 13, 104], Operations: ['79+25=104']
Exploring Operation: 104/13=8, Resulting Numbers: [69, 8]
Generated Node #3: [69, 8] from Operation: 104/13=8
Current State: 77:[69, 8], Operations: ['79+25=104', '104/13=8']
Exploring Operation: 69+8=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
28,
73,
16,
42
] | 38 | [
"73-16=57",
"28*57=1596",
"1596/42=38"
] | Current State: 38:[28, 73, 16, 42], Operations: []
Exploring Operation: 73-16=57, Resulting Numbers: [28, 42, 57]
Generated Node #2: [28, 42, 57] from Operation: 73-16=57
Current State: 38:[28, 42, 57], Operations: ['73-16=57']
Exploring Operation: 28*57=1596, Resulting Numbers: [42, 1596]
Generated Node #3: [42, 1596] from Operation: 28*57=1596
Current State: 38:[42, 1596], Operations: ['73-16=57', '28*57=1596']
Exploring Operation: 1596/42=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
59,
14,
30,
2
] | 77 | [
"59-14=45",
"30+2=32",
"45+32=77"
] | Current State: 77:[59, 14, 30, 2], Operations: []
Exploring Operation: 59-14=45, Resulting Numbers: [30, 2, 45]
Generated Node #2: [30, 2, 45] from Operation: 59-14=45
Current State: 77:[30, 2, 45], Operations: ['59-14=45']
Exploring Operation: 30+2=32, Resulting Numbers: [45, 32]
Generated Node #3: [45, 32] from Operation: 30+2=32
Current State: 77:[45, 32], Operations: ['59-14=45', '30+2=32']
Exploring Operation: 45+32=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
30,
10,
8,
30
] | 19 | [
"30/10=3",
"30-8=22",
"22-3=19"
] | Current State: 19:[30, 10, 8, 30], Operations: []
Exploring Operation: 30/10=3, Resulting Numbers: [8, 3]
Generated Node #2: [8, 3] from Operation: 30/10=3
Current State: 19:[8, 3], Operations: ['30/10=3']
Exploring Operation: 30-8=22, Resulting Numbers: [3, 22]
Generated Node #3: [3, 22] from Operation: 30-8=22
Current State: 19:[3, 22], Operations: ['30/10=3', '30-8=22']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
93,
14,
76,
36
] | 85 | [
"76+36=112",
"112/14=8",
"93-8=85"
] | Current State: 85:[93, 14, 76, 36], Operations: []
Exploring Operation: 76+36=112, Resulting Numbers: [93, 14, 112]
Generated Node #2: [93, 14, 112] from Operation: 76+36=112
Current State: 85:[93, 14, 112], Operations: ['76+36=112']
Exploring Operation: 112/14=8, Resulting Numbers: [93, 8]
Generated Node #3: [93, 8] from Operation: 112/14=8
Current State: 85:[93, 8], Operations: ['76+36=112', '112/14=8']
Exploring Operation: 93-8=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
58,
5,
70,
69
] | 54 | [
"58-5=53",
"70-69=1",
"53+1=54"
] | Current State: 54:[58, 5, 70, 69], Operations: []
Exploring Operation: 58-5=53, Resulting Numbers: [70, 69, 53]
Generated Node #2: [70, 69, 53] from Operation: 58-5=53
Current State: 54:[70, 69, 53], Operations: ['58-5=53']
Exploring Operation: 70-69=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 70-69=1
Current State: 54:[53, 1], Operations: ['58-5=53', '70-69=1']
Exploring Operation: 53+1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
98,
12,
91,
88
] | 62 | [
"91-88=3",
"12*3=36",
"98-36=62"
] | Current State: 62:[98, 12, 91, 88], Operations: []
Exploring Operation: 91-88=3, Resulting Numbers: [98, 12, 3]
Generated Node #2: [98, 12, 3] from Operation: 91-88=3
Current State: 62:[98, 12, 3], Operations: ['91-88=3']
Exploring Operation: 12*3=36, Resulting Numbers: [98, 36]
Generated Node #3: [98, 36] from Operation: 12*3=36
Current State: 62:[98, 36], Operations: ['91-88=3', '12*3=36']
Exploring Operation: 98-36=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
97,
69,
93,
5
] | 13 | [
"97-69=28",
"93-28=65",
"65/5=13"
] | Current State: 13:[97, 69, 93, 5], Operations: []
Exploring Operation: 97-69=28, Resulting Numbers: [93, 5, 28]
Generated Node #2: [93, 5, 28] from Operation: 97-69=28
Current State: 13:[93, 5, 28], Operations: ['97-69=28']
Exploring Operation: 93-28=65, Resulting Numbers: [5, 65]
Generated Node #3: [5, 65] from Operation: 93-28=65
Current State: 13:[5, 65], Operations: ['97-69=28', '93-28=65']
Exploring Operation: 65/5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
92,
10,
90,
65
] | 28 | [
"92+90=182",
"10*182=1820",
"1820/65=28"
] | Current State: 28:[92, 10, 90, 65], Operations: []
Exploring Operation: 92+90=182, Resulting Numbers: [10, 65, 182]
Generated Node #2: [10, 65, 182] from Operation: 92+90=182
Current State: 28:[10, 65, 182], Operations: ['92+90=182']
Exploring Operation: 10*182=1820, Resulting Numbers: [65, 1820]
Generated Node #3: [65, 1820] from Operation: 10*182=1820
Current State: 28:[65, 1820], Operations: ['92+90=182', '10*182=1820']
Exploring Operation: 1820/65=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
16,
58,
85,
40
] | 92 | [
"16*85=1360",
"1360/40=34",
"58+34=92"
] | Current State: 92:[16, 58, 85, 40], Operations: []
Exploring Operation: 16*85=1360, Resulting Numbers: [58, 40, 1360]
Generated Node #2: [58, 40, 1360] from Operation: 16*85=1360
Current State: 92:[58, 40, 1360], Operations: ['16*85=1360']
Exploring Operation: 1360/40=34, Resulting Numbers: [58, 34]
Generated Node #3: [58, 34] from Operation: 1360/40=34
Current State: 92:[58, 34], Operations: ['16*85=1360', '1360/40=34']
Exploring Operation: 58+34=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
47,
2,
44,
58
] | 25 | [
"47+44=91",
"2*58=116",
"116-91=25"
] | Current State: 25:[47, 2, 44, 58], Operations: []
Exploring Operation: 47+44=91, Resulting Numbers: [2, 58, 91]
Generated Node #2: [2, 58, 91] from Operation: 47+44=91
Current State: 25:[2, 58, 91], Operations: ['47+44=91']
Exploring Operation: 2*58=116, Resulting Numbers: [91, 116]
Generated Node #3: [91, 116] from Operation: 2*58=116
Current State: 25:[91, 116], Operations: ['47+44=91', '2*58=116']
Exploring Operation: 116-91=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
42,
90,
31,
99
] | 99 | [
"42-31=11",
"99-90=9",
"11*9=99"
] | Current State: 99:[42, 90, 31, 99], Operations: []
Exploring Operation: 42-31=11, Resulting Numbers: [90, 99, 11]
Generated Node #2: [90, 99, 11] from Operation: 42-31=11
Current State: 99:[90, 99, 11], Operations: ['42-31=11']
Exploring Operation: 99-90=9, Resulting Numbers: [11, 9]
Generated Node #3: [11, 9] from Operation: 99-90=9
Current State: 99:[11, 9], Operations: ['42-31=11', '99-90=9']
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
17,
38,
25,
80
] | 76 | [
"38-17=21",
"80-25=55",
"21+55=76"
] | Current State: 76:[17, 38, 25, 80], Operations: []
Exploring Operation: 38-17=21, Resulting Numbers: [25, 80, 21]
Generated Node #2: [25, 80, 21] from Operation: 38-17=21
Current State: 76:[25, 80, 21], Operations: ['38-17=21']
Exploring Operation: 80-25=55, Resulting Numbers: [21, 55]
Generated Node #3: [21, 55] from Operation: 80-25=55
Current State: 76:[21, 55], Operations: ['38-17=21', '80-25=55']
Exploring Operation: 21+55=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
31,
6,
18,
74
] | 36 | [
"31+6=37",
"18*74=1332",
"1332/37=36"
] | Current State: 36:[31, 6, 18, 74], Operations: []
Exploring Operation: 31+6=37, Resulting Numbers: [18, 74, 37]
Generated Node #2: [18, 74, 37] from Operation: 31+6=37
Current State: 36:[18, 74, 37], Operations: ['31+6=37']
Exploring Operation: 18*74=1332, Resulting Numbers: [37, 1332]
Generated Node #3: [37, 1332] from Operation: 18*74=1332
Current State: 36:[37, 1332], Operations: ['31+6=37', '18*74=1332']
Exploring Operation: 1332/37=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
92,
65,
38,
59
] | 57 | [
"92+38=130",
"130/65=2",
"59-2=57"
] | Current State: 57:[92, 65, 38, 59], Operations: []
Exploring Operation: 92+38=130, Resulting Numbers: [65, 59, 130]
Generated Node #2: [65, 59, 130] from Operation: 92+38=130
Current State: 57:[65, 59, 130], Operations: ['92+38=130']
Exploring Operation: 130/65=2, Resulting Numbers: [59, 2]
Generated Node #3: [59, 2] from Operation: 130/65=2
Current State: 57:[59, 2], Operations: ['92+38=130', '130/65=2']
Exploring Operation: 59-2=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
80,
47,
10,
42
] | 97 | [
"80/10=8",
"47+42=89",
"8+89=97"
] | Current State: 97:[80, 47, 10, 42], Operations: []
Exploring Operation: 80/10=8, Resulting Numbers: [47, 42, 8]
Generated Node #2: [47, 42, 8] from Operation: 80/10=8
Current State: 97:[47, 42, 8], Operations: ['80/10=8']
Exploring Operation: 47+42=89, Resulting Numbers: [8, 89]
Generated Node #3: [8, 89] from Operation: 47+42=89
Current State: 97:[8, 89], Operations: ['80/10=8', '47+42=89']
Exploring Operation: 8+89=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
98,
69,
15,
6
] | 61 | [
"98-69=29",
"15*6=90",
"90-29=61"
] | Current State: 61:[98, 69, 15, 6], Operations: []
Exploring Operation: 98-69=29, Resulting Numbers: [15, 6, 29]
Generated Node #2: [15, 6, 29] from Operation: 98-69=29
Current State: 61:[15, 6, 29], Operations: ['98-69=29']
Exploring Operation: 15*6=90, Resulting Numbers: [29, 90]
Generated Node #3: [29, 90] from Operation: 15*6=90
Current State: 61:[29, 90], Operations: ['98-69=29', '15*6=90']
Exploring Operation: 90-29=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
32,
5,
20,
94
] | 87 | [
"32-5=27",
"20+94=114",
"114-27=87"
] | Current State: 87:[32, 5, 20, 94], Operations: []
Exploring Operation: 32-5=27, Resulting Numbers: [20, 94, 27]
Generated Node #2: [20, 94, 27] from Operation: 32-5=27
Current State: 87:[20, 94, 27], Operations: ['32-5=27']
Exploring Operation: 20+94=114, Resulting Numbers: [27, 114]
Generated Node #3: [27, 114] from Operation: 20+94=114
Current State: 87:[27, 114], Operations: ['32-5=27', '20+94=114']
Exploring Operation: 114-27=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
46,
91,
24,
50
] | 87 | [
"46+50=96",
"96/24=4",
"91-4=87"
] | Current State: 87:[46, 91, 24, 50], Operations: []
Exploring Operation: 46+50=96, Resulting Numbers: [91, 24, 96]
Generated Node #2: [91, 24, 96] from Operation: 46+50=96
Current State: 87:[91, 24, 96], Operations: ['46+50=96']
Exploring Operation: 96/24=4, Resulting Numbers: [91, 4]
Generated Node #3: [91, 4] from Operation: 96/24=4
Current State: 87:[91, 4], Operations: ['46+50=96', '96/24=4']
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
66,
35,
60,
91
] | 70 | [
"66+35=101",
"91-60=31",
"101-31=70"
] | Current State: 70:[66, 35, 60, 91], Operations: []
Exploring Operation: 66+35=101, Resulting Numbers: [60, 91, 101]
Generated Node #2: [60, 91, 101] from Operation: 66+35=101
Current State: 70:[60, 91, 101], Operations: ['66+35=101']
Exploring Operation: 91-60=31, Resulting Numbers: [101, 31]
Generated Node #3: [101, 31] from Operation: 91-60=31
Current State: 70:[101, 31], Operations: ['66+35=101', '91-60=31']
Exploring Operation: 101-31=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
38,
28,
4,
12
] | 19 | [
"38*12=456",
"28-4=24",
"456/24=19"
] | Current State: 19:[38, 28, 4, 12], Operations: []
Exploring Operation: 38*12=456, Resulting Numbers: [28, 4, 456]
Generated Node #2: [28, 4, 456] from Operation: 38*12=456
Current State: 19:[28, 4, 456], Operations: ['38*12=456']
Exploring Operation: 28-4=24, Resulting Numbers: [456, 24]
Generated Node #3: [456, 24] from Operation: 28-4=24
Current State: 19:[456, 24], Operations: ['38*12=456', '28-4=24']
Exploring Operation: 456/24=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
81,
4,
29,
56
] | 38 | [
"81-29=52",
"56/4=14",
"52-14=38"
] | Current State: 38:[81, 4, 29, 56], Operations: []
Exploring Operation: 81-29=52, Resulting Numbers: [4, 56, 52]
Generated Node #2: [4, 56, 52] from Operation: 81-29=52
Current State: 38:[4, 56, 52], Operations: ['81-29=52']
Exploring Operation: 56/4=14, Resulting Numbers: [52, 14]
Generated Node #3: [52, 14] from Operation: 56/4=14
Current State: 38:[52, 14], Operations: ['81-29=52', '56/4=14']
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
50,
11,
43,
29
] | 53 | [
"50-11=39",
"43-29=14",
"39+14=53"
] | Current State: 53:[50, 11, 43, 29], Operations: []
Exploring Operation: 50-11=39, Resulting Numbers: [43, 29, 39]
Generated Node #2: [43, 29, 39] from Operation: 50-11=39
Current State: 53:[43, 29, 39], Operations: ['50-11=39']
Exploring Operation: 43-29=14, Resulting Numbers: [39, 14]
Generated Node #3: [39, 14] from Operation: 43-29=14
Current State: 53:[39, 14], Operations: ['50-11=39', '43-29=14']
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
31,
5,
70,
71
] | 27 | [
"31-5=26",
"71-70=1",
"26+1=27"
] | Current State: 27:[31, 5, 70, 71], Operations: []
Exploring Operation: 31-5=26, Resulting Numbers: [70, 71, 26]
Generated Node #2: [70, 71, 26] from Operation: 31-5=26
Current State: 27:[70, 71, 26], Operations: ['31-5=26']
Exploring Operation: 71-70=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 71-70=1
Current State: 27:[26, 1], Operations: ['31-5=26', '71-70=1']
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
8,
64,
88,
44
] | 54 | [
"64-8=56",
"88/44=2",
"56-2=54"
] | Current State: 54:[8, 64, 88, 44], Operations: []
Exploring Operation: 64-8=56, Resulting Numbers: [88, 44, 56]
Generated Node #2: [88, 44, 56] from Operation: 64-8=56
Current State: 54:[88, 44, 56], Operations: ['64-8=56']
Exploring Operation: 88/44=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 88/44=2
Current State: 54:[56, 2], Operations: ['64-8=56', '88/44=2']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
71,
91,
36,
34
] | 90 | [
"91-71=20",
"36+34=70",
"20+70=90"
] | Current State: 90:[71, 91, 36, 34], Operations: []
Exploring Operation: 91-71=20, Resulting Numbers: [36, 34, 20]
Generated Node #2: [36, 34, 20] from Operation: 91-71=20
Current State: 90:[36, 34, 20], Operations: ['91-71=20']
Exploring Operation: 36+34=70, Resulting Numbers: [20, 70]
Generated Node #3: [20, 70] from Operation: 36+34=70
Current State: 90:[20, 70], Operations: ['91-71=20', '36+34=70']
Exploring Operation: 20+70=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
49,
51,
83,
28
] | 27 | [
"51-49=2",
"28*2=56",
"83-56=27"
] | Current State: 27:[49, 51, 83, 28], Operations: []
Exploring Operation: 51-49=2, Resulting Numbers: [83, 28, 2]
Generated Node #2: [83, 28, 2] from Operation: 51-49=2
Current State: 27:[83, 28, 2], Operations: ['51-49=2']
Exploring Operation: 28*2=56, Resulting Numbers: [83, 56]
Generated Node #3: [83, 56] from Operation: 28*2=56
Current State: 27:[83, 56], Operations: ['51-49=2', '28*2=56']
Exploring Operation: 83-56=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
28,
3,
98,
24
] | 43 | [
"28+3=31",
"98-24=74",
"74-31=43"
] | Current State: 43:[28, 3, 98, 24], Operations: []
Exploring Operation: 28+3=31, Resulting Numbers: [98, 24, 31]
Generated Node #2: [98, 24, 31] from Operation: 28+3=31
Current State: 43:[98, 24, 31], Operations: ['28+3=31']
Exploring Operation: 98-24=74, Resulting Numbers: [31, 74]
Generated Node #3: [31, 74] from Operation: 98-24=74
Current State: 43:[31, 74], Operations: ['28+3=31', '98-24=74']
Exploring Operation: 74-31=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
82,
28,
18,
6
] | 57 | [
"82-28=54",
"18/6=3",
"54+3=57"
] | Current State: 57:[82, 28, 18, 6], Operations: []
Exploring Operation: 82-28=54, Resulting Numbers: [18, 6, 54]
Generated Node #2: [18, 6, 54] from Operation: 82-28=54
Current State: 57:[18, 6, 54], Operations: ['82-28=54']
Exploring Operation: 18/6=3, Resulting Numbers: [54, 3]
Generated Node #3: [54, 3] from Operation: 18/6=3
Current State: 57:[54, 3], Operations: ['82-28=54', '18/6=3']
Exploring Operation: 54+3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
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