nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
52,
1,
47,
27
] | 45 | [
"27-1=26",
"52/26=2",
"47-2=45"
] | Current State: 45:[52, 1, 47, 27], Operations: []
Exploring Operation: 27-1=26, Resulting Numbers: [52, 47, 26]
Generated Node #2: [52, 47, 26] from Operation: 27-1=26
Current State: 45:[52, 47, 26], Operations: ['27-1=26']
Exploring Operation: 52/26=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 52/26=2
Current State: 45:[47, 2], Operations: ['27-1=26', '52/26=2']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
72,
32,
29,
73
] | 99 | [
"73-29=44",
"72*44=3168",
"3168/32=99"
] | Current State: 99:[72, 32, 29, 73], Operations: []
Exploring Operation: 73-29=44, Resulting Numbers: [72, 32, 44]
Generated Node #2: [72, 32, 44] from Operation: 73-29=44
Current State: 99:[72, 32, 44], Operations: ['73-29=44']
Exploring Operation: 72*44=3168, Resulting Numbers: [32, 3168]
Generated Node #3: [32, 3168] from Operation: 72*44=3168
Current State: 99:[32, 3168], Operations: ['73-29=44', '72*44=3168']
Exploring Operation: 3168/32=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
34,
27,
7,
38
] | 81 | [
"34+7=41",
"41-38=3",
"27*3=81"
] | Current State: 81:[34, 27, 7, 38], Operations: []
Exploring Operation: 34+7=41, Resulting Numbers: [27, 38, 41]
Generated Node #2: [27, 38, 41] from Operation: 34+7=41
Current State: 81:[27, 38, 41], Operations: ['34+7=41']
Exploring Operation: 41-38=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 41-38=3
Current State: 81:[27, 3], Operations: ['34+7=41', '41-38=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
76,
52,
29,
31
] | 50 | [
"31-29=2",
"52/2=26",
"76-26=50"
] | Current State: 50:[76, 52, 29, 31], Operations: []
Exploring Operation: 31-29=2, Resulting Numbers: [76, 52, 2]
Generated Node #2: [76, 52, 2] from Operation: 31-29=2
Current State: 50:[76, 52, 2], Operations: ['31-29=2']
Exploring Operation: 52/2=26, Resulting Numbers: [76, 26]
Generated Node #3: [76, 26] from Operation: 52/2=26
Current State: 50:[76, 26], Operations: ['31-29=2', '52/2=26']
Exploring Operation: 76-26=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
12,
72,
20,
83
] | 93 | [
"72+83=155",
"12*155=1860",
"1860/20=93"
] | Current State: 93:[12, 72, 20, 83], Operations: []
Exploring Operation: 72+83=155, Resulting Numbers: [12, 20, 155]
Generated Node #2: [12, 20, 155] from Operation: 72+83=155
Current State: 93:[12, 20, 155], Operations: ['72+83=155']
Exploring Operation: 12*155=1860, Resulting Numbers: [20, 1860]
Generated Node #3: [20, 1860] from Operation: 12*155=1860
Current State: 93:[20, 1860], Operations: ['72+83=155', '12*155=1860']
Exploring Operation: 1860/20=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
25,
94,
82,
14
] | 51 | [
"25+94=119",
"82-14=68",
"119-68=51"
] | Current State: 51:[25, 94, 82, 14], Operations: []
Exploring Operation: 25+94=119, Resulting Numbers: [82, 14, 119]
Generated Node #2: [82, 14, 119] from Operation: 25+94=119
Current State: 51:[82, 14, 119], Operations: ['25+94=119']
Exploring Operation: 82-14=68, Resulting Numbers: [119, 68]
Generated Node #3: [119, 68] from Operation: 82-14=68
Current State: 51:[119, 68], Operations: ['25+94=119', '82-14=68']
Exploring Operation: 119-68=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
41,
66,
3,
91
] | 48 | [
"41+66=107",
"107-91=16",
"3*16=48"
] | Current State: 48:[41, 66, 3, 91], Operations: []
Exploring Operation: 41+66=107, Resulting Numbers: [3, 91, 107]
Generated Node #2: [3, 91, 107] from Operation: 41+66=107
Current State: 48:[3, 91, 107], Operations: ['41+66=107']
Exploring Operation: 107-91=16, Resulting Numbers: [3, 16]
Generated Node #3: [3, 16] from Operation: 107-91=16
Current State: 48:[3, 16], Operations: ['41+66=107', '107-91=16']
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
11,
35,
78,
66
] | 35 | [
"78-11=67",
"67-66=1",
"35*1=35"
] | Current State: 35:[11, 35, 78, 66], Operations: []
Exploring Operation: 78-11=67, Resulting Numbers: [35, 66, 67]
Generated Node #2: [35, 66, 67] from Operation: 78-11=67
Current State: 35:[35, 66, 67], Operations: ['78-11=67']
Exploring Operation: 67-66=1, Resulting Numbers: [35, 1]
Generated Node #3: [35, 1] from Operation: 67-66=1
Current State: 35:[35, 1], Operations: ['78-11=67', '67-66=1']
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
85,
6,
11,
84
] | 17 | [
"85-84=1",
"6+11=17",
"1*17=17"
] | Current State: 17:[85, 6, 11, 84], Operations: []
Exploring Operation: 85-84=1, Resulting Numbers: [6, 11, 1]
Generated Node #2: [6, 11, 1] from Operation: 85-84=1
Current State: 17:[6, 11, 1], Operations: ['85-84=1']
Exploring Operation: 6+11=17, Resulting Numbers: [1, 17]
Generated Node #3: [1, 17] from Operation: 6+11=17
Current State: 17:[1, 17], Operations: ['85-84=1', '6+11=17']
Exploring Operation: 1*17=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
8,
40,
74,
4
] | 76 | [
"74-8=66",
"40/4=10",
"66+10=76"
] | Current State: 76:[8, 40, 74, 4], Operations: []
Exploring Operation: 74-8=66, Resulting Numbers: [40, 4, 66]
Generated Node #2: [40, 4, 66] from Operation: 74-8=66
Current State: 76:[40, 4, 66], Operations: ['74-8=66']
Exploring Operation: 40/4=10, Resulting Numbers: [66, 10]
Generated Node #3: [66, 10] from Operation: 40/4=10
Current State: 76:[66, 10], Operations: ['74-8=66', '40/4=10']
Exploring Operation: 66+10=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
8,
5,
85,
20
] | 13 | [
"85+20=105",
"105/5=21",
"21-8=13"
] | Current State: 13:[8, 5, 85, 20], Operations: []
Exploring Operation: 85+20=105, Resulting Numbers: [8, 5, 105]
Generated Node #2: [8, 5, 105] from Operation: 85+20=105
Current State: 13:[8, 5, 105], Operations: ['85+20=105']
Exploring Operation: 105/5=21, Resulting Numbers: [8, 21]
Generated Node #3: [8, 21] from Operation: 105/5=21
Current State: 13:[8, 21], Operations: ['85+20=105', '105/5=21']
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
49,
67,
57,
53
] | 40 | [
"53-49=4",
"67-57=10",
"4*10=40"
] | Current State: 40:[49, 67, 57, 53], Operations: []
Exploring Operation: 53-49=4, Resulting Numbers: [67, 57, 4]
Generated Node #2: [67, 57, 4] from Operation: 53-49=4
Current State: 40:[67, 57, 4], Operations: ['53-49=4']
Exploring Operation: 67-57=10, Resulting Numbers: [4, 10]
Generated Node #3: [4, 10] from Operation: 67-57=10
Current State: 40:[4, 10], Operations: ['53-49=4', '67-57=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
20,
55,
6,
42
] | 42 | [
"55-20=35",
"42/6=7",
"35+7=42"
] | Current State: 42:[20, 55, 6, 42], Operations: []
Exploring Operation: 55-20=35, Resulting Numbers: [6, 42, 35]
Generated Node #2: [6, 42, 35] from Operation: 55-20=35
Current State: 42:[6, 42, 35], Operations: ['55-20=35']
Exploring Operation: 42/6=7, Resulting Numbers: [35, 7]
Generated Node #3: [35, 7] from Operation: 42/6=7
Current State: 42:[35, 7], Operations: ['55-20=35', '42/6=7']
Exploring Operation: 35+7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
36,
34,
86,
38
] | 76 | [
"34*86=2924",
"2924-36=2888",
"2888/38=76"
] | Current State: 76:[36, 34, 86, 38], Operations: []
Exploring Operation: 34*86=2924, Resulting Numbers: [36, 38, 2924]
Generated Node #2: [36, 38, 2924] from Operation: 34*86=2924
Current State: 76:[36, 38, 2924], Operations: ['34*86=2924']
Exploring Operation: 2924-36=2888, Resulting Numbers: [38, 2888]
Generated Node #3: [38, 2888] from Operation: 2924-36=2888
Current State: 76:[38, 2888], Operations: ['34*86=2924', '2924-36=2888']
Exploring Operation: 2888/38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
36,
38,
73,
27
] | 98 | [
"38-36=2",
"73+27=100",
"100-2=98"
] | Current State: 98:[36, 38, 73, 27], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [73, 27, 2]
Generated Node #2: [73, 27, 2] from Operation: 38-36=2
Current State: 98:[73, 27, 2], Operations: ['38-36=2']
Exploring Operation: 73+27=100, Resulting Numbers: [2, 100]
Generated Node #3: [2, 100] from Operation: 73+27=100
Current State: 98:[2, 100], Operations: ['38-36=2', '73+27=100']
Exploring Operation: 100-2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
47,
20,
20,
83
] | 35 | [
"83-47=36",
"20/20=1",
"36-1=35"
] | Current State: 35:[47, 20, 20, 83], Operations: []
Exploring Operation: 83-47=36, Resulting Numbers: [20, 20, 36]
Generated Node #2: [20, 20, 36] from Operation: 83-47=36
Current State: 35:[20, 20, 36], Operations: ['83-47=36']
Exploring Operation: 20/20=1, Resulting Numbers: [36, 1]
Generated Node #3: [36, 1] from Operation: 20/20=1
Current State: 35:[36, 1], Operations: ['83-47=36', '20/20=1']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
94,
1,
81,
20
] | 34 | [
"94+1=95",
"81-20=61",
"95-61=34"
] | Current State: 34:[94, 1, 81, 20], Operations: []
Exploring Operation: 94+1=95, Resulting Numbers: [81, 20, 95]
Generated Node #2: [81, 20, 95] from Operation: 94+1=95
Current State: 34:[81, 20, 95], Operations: ['94+1=95']
Exploring Operation: 81-20=61, Resulting Numbers: [95, 61]
Generated Node #3: [95, 61] from Operation: 81-20=61
Current State: 34:[95, 61], Operations: ['94+1=95', '81-20=61']
Exploring Operation: 95-61=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
23,
8,
14,
30
] | 47 | [
"23+8=31",
"30-14=16",
"31+16=47"
] | Current State: 47:[23, 8, 14, 30], Operations: []
Exploring Operation: 23+8=31, Resulting Numbers: [14, 30, 31]
Generated Node #2: [14, 30, 31] from Operation: 23+8=31
Current State: 47:[14, 30, 31], Operations: ['23+8=31']
Exploring Operation: 30-14=16, Resulting Numbers: [31, 16]
Generated Node #3: [31, 16] from Operation: 30-14=16
Current State: 47:[31, 16], Operations: ['23+8=31', '30-14=16']
Exploring Operation: 31+16=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
79,
46,
37,
30
] | 58 | [
"79+46=125",
"37+30=67",
"125-67=58"
] | Current State: 58:[79, 46, 37, 30], Operations: []
Exploring Operation: 79+46=125, Resulting Numbers: [37, 30, 125]
Generated Node #2: [37, 30, 125] from Operation: 79+46=125
Current State: 58:[37, 30, 125], Operations: ['79+46=125']
Exploring Operation: 37+30=67, Resulting Numbers: [125, 67]
Generated Node #3: [125, 67] from Operation: 37+30=67
Current State: 58:[125, 67], Operations: ['79+46=125', '37+30=67']
Exploring Operation: 125-67=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
78,
43,
30,
91
] | 97 | [
"43-30=13",
"78/13=6",
"91+6=97"
] | Current State: 97:[78, 43, 30, 91], Operations: []
Exploring Operation: 43-30=13, Resulting Numbers: [78, 91, 13]
Generated Node #2: [78, 91, 13] from Operation: 43-30=13
Current State: 97:[78, 91, 13], Operations: ['43-30=13']
Exploring Operation: 78/13=6, Resulting Numbers: [91, 6]
Generated Node #3: [91, 6] from Operation: 78/13=6
Current State: 97:[91, 6], Operations: ['43-30=13', '78/13=6']
Exploring Operation: 91+6=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
12,
67,
31,
55
] | 32 | [
"67-12=55",
"55/55=1",
"31+1=32"
] | Current State: 32:[12, 67, 31, 55], Operations: []
Exploring Operation: 67-12=55, Resulting Numbers: [31, 55, 55]
Generated Node #2: [31, 55, 55] from Operation: 67-12=55
Current State: 32:[31, 55, 55], Operations: ['67-12=55']
Exploring Operation: 55/55=1, Resulting Numbers: [31, 1]
Generated Node #3: [31, 1] from Operation: 55/55=1
Current State: 32:[31, 1], Operations: ['67-12=55', '55/55=1']
Exploring Operation: 31+1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
84,
22,
3,
27
] | 63 | [
"22+27=49",
"3*49=147",
"147-84=63"
] | Current State: 63:[84, 22, 3, 27], Operations: []
Exploring Operation: 22+27=49, Resulting Numbers: [84, 3, 49]
Generated Node #2: [84, 3, 49] from Operation: 22+27=49
Current State: 63:[84, 3, 49], Operations: ['22+27=49']
Exploring Operation: 3*49=147, Resulting Numbers: [84, 147]
Generated Node #3: [84, 147] from Operation: 3*49=147
Current State: 63:[84, 147], Operations: ['22+27=49', '3*49=147']
Exploring Operation: 147-84=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
43,
77,
6,
45
] | 17 | [
"77-43=34",
"6+45=51",
"51-34=17"
] | Current State: 17:[43, 77, 6, 45], Operations: []
Exploring Operation: 77-43=34, Resulting Numbers: [6, 45, 34]
Generated Node #2: [6, 45, 34] from Operation: 77-43=34
Current State: 17:[6, 45, 34], Operations: ['77-43=34']
Exploring Operation: 6+45=51, Resulting Numbers: [34, 51]
Generated Node #3: [34, 51] from Operation: 6+45=51
Current State: 17:[34, 51], Operations: ['77-43=34', '6+45=51']
Exploring Operation: 51-34=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
33,
6,
28,
78
] | 26 | [
"33+6=39",
"78/39=2",
"28-2=26"
] | Current State: 26:[33, 6, 28, 78], Operations: []
Exploring Operation: 33+6=39, Resulting Numbers: [28, 78, 39]
Generated Node #2: [28, 78, 39] from Operation: 33+6=39
Current State: 26:[28, 78, 39], Operations: ['33+6=39']
Exploring Operation: 78/39=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 78/39=2
Current State: 26:[28, 2], Operations: ['33+6=39', '78/39=2']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
23,
32,
4,
21
] | 72 | [
"23+32=55",
"21-4=17",
"55+17=72"
] | Current State: 72:[23, 32, 4, 21], Operations: []
Exploring Operation: 23+32=55, Resulting Numbers: [4, 21, 55]
Generated Node #2: [4, 21, 55] from Operation: 23+32=55
Current State: 72:[4, 21, 55], Operations: ['23+32=55']
Exploring Operation: 21-4=17, Resulting Numbers: [55, 17]
Generated Node #3: [55, 17] from Operation: 21-4=17
Current State: 72:[55, 17], Operations: ['23+32=55', '21-4=17']
Exploring Operation: 55+17=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
2,
33,
42,
83
] | 37 | [
"42-33=9",
"83-9=74",
"74/2=37"
] | Current State: 37:[2, 33, 42, 83], Operations: []
Exploring Operation: 42-33=9, Resulting Numbers: [2, 83, 9]
Generated Node #2: [2, 83, 9] from Operation: 42-33=9
Current State: 37:[2, 83, 9], Operations: ['42-33=9']
Exploring Operation: 83-9=74, Resulting Numbers: [2, 74]
Generated Node #3: [2, 74] from Operation: 83-9=74
Current State: 37:[2, 74], Operations: ['42-33=9', '83-9=74']
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
2,
86,
68,
10
] | 35 | [
"86/2=43",
"68+10=78",
"78-43=35"
] | Current State: 35:[2, 86, 68, 10], Operations: []
Exploring Operation: 86/2=43, Resulting Numbers: [68, 10, 43]
Generated Node #2: [68, 10, 43] from Operation: 86/2=43
Current State: 35:[68, 10, 43], Operations: ['86/2=43']
Exploring Operation: 68+10=78, Resulting Numbers: [43, 78]
Generated Node #3: [43, 78] from Operation: 68+10=78
Current State: 35:[43, 78], Operations: ['86/2=43', '68+10=78']
Exploring Operation: 78-43=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
70,
14,
28,
43
] | 40 | [
"70+14=84",
"84/28=3",
"43-3=40"
] | Current State: 40:[70, 14, 28, 43], Operations: []
Exploring Operation: 70+14=84, Resulting Numbers: [28, 43, 84]
Generated Node #2: [28, 43, 84] from Operation: 70+14=84
Current State: 40:[28, 43, 84], Operations: ['70+14=84']
Exploring Operation: 84/28=3, Resulting Numbers: [43, 3]
Generated Node #3: [43, 3] from Operation: 84/28=3
Current State: 40:[43, 3], Operations: ['70+14=84', '84/28=3']
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
35,
20,
66,
88
] | 77 | [
"35+20=55",
"88-66=22",
"55+22=77"
] | Current State: 77:[35, 20, 66, 88], Operations: []
Exploring Operation: 35+20=55, Resulting Numbers: [66, 88, 55]
Generated Node #2: [66, 88, 55] from Operation: 35+20=55
Current State: 77:[66, 88, 55], Operations: ['35+20=55']
Exploring Operation: 88-66=22, Resulting Numbers: [55, 22]
Generated Node #3: [55, 22] from Operation: 88-66=22
Current State: 77:[55, 22], Operations: ['35+20=55', '88-66=22']
Exploring Operation: 55+22=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
94,
95,
88,
42
] | 47 | [
"95-94=1",
"88-42=46",
"1+46=47"
] | Current State: 47:[94, 95, 88, 42], Operations: []
Exploring Operation: 95-94=1, Resulting Numbers: [88, 42, 1]
Generated Node #2: [88, 42, 1] from Operation: 95-94=1
Current State: 47:[88, 42, 1], Operations: ['95-94=1']
Exploring Operation: 88-42=46, Resulting Numbers: [1, 46]
Generated Node #3: [1, 46] from Operation: 88-42=46
Current State: 47:[1, 46], Operations: ['95-94=1', '88-42=46']
Exploring Operation: 1+46=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
63,
64,
40,
1
] | 88 | [
"63+64=127",
"40-1=39",
"127-39=88"
] | Current State: 88:[63, 64, 40, 1], Operations: []
Exploring Operation: 63+64=127, Resulting Numbers: [40, 1, 127]
Generated Node #2: [40, 1, 127] from Operation: 63+64=127
Current State: 88:[40, 1, 127], Operations: ['63+64=127']
Exploring Operation: 40-1=39, Resulting Numbers: [127, 39]
Generated Node #3: [127, 39] from Operation: 40-1=39
Current State: 88:[127, 39], Operations: ['63+64=127', '40-1=39']
Exploring Operation: 127-39=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
13,
87,
96,
5
] | 94 | [
"96-5=91",
"91/13=7",
"87+7=94"
] | Current State: 94:[13, 87, 96, 5], Operations: []
Exploring Operation: 96-5=91, Resulting Numbers: [13, 87, 91]
Generated Node #2: [13, 87, 91] from Operation: 96-5=91
Current State: 94:[13, 87, 91], Operations: ['96-5=91']
Exploring Operation: 91/13=7, Resulting Numbers: [87, 7]
Generated Node #3: [87, 7] from Operation: 91/13=7
Current State: 94:[87, 7], Operations: ['96-5=91', '91/13=7']
Exploring Operation: 87+7=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
64,
21,
39,
61
] | 32 | [
"64-61=3",
"21/3=7",
"39-7=32"
] | Current State: 32:[64, 21, 39, 61], Operations: []
Exploring Operation: 64-61=3, Resulting Numbers: [21, 39, 3]
Generated Node #2: [21, 39, 3] from Operation: 64-61=3
Current State: 32:[21, 39, 3], Operations: ['64-61=3']
Exploring Operation: 21/3=7, Resulting Numbers: [39, 7]
Generated Node #3: [39, 7] from Operation: 21/3=7
Current State: 32:[39, 7], Operations: ['64-61=3', '21/3=7']
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
7,
18,
38,
49
] | 39 | [
"7*18=126",
"38+49=87",
"126-87=39"
] | Current State: 39:[7, 18, 38, 49], Operations: []
Exploring Operation: 7*18=126, Resulting Numbers: [38, 49, 126]
Generated Node #2: [38, 49, 126] from Operation: 7*18=126
Current State: 39:[38, 49, 126], Operations: ['7*18=126']
Exploring Operation: 38+49=87, Resulting Numbers: [126, 87]
Generated Node #3: [126, 87] from Operation: 38+49=87
Current State: 39:[126, 87], Operations: ['7*18=126', '38+49=87']
Exploring Operation: 126-87=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
62,
10,
95,
40
] | 26 | [
"62*40=2480",
"2480-10=2470",
"2470/95=26"
] | Current State: 26:[62, 10, 95, 40], Operations: []
Exploring Operation: 62*40=2480, Resulting Numbers: [10, 95, 2480]
Generated Node #2: [10, 95, 2480] from Operation: 62*40=2480
Current State: 26:[10, 95, 2480], Operations: ['62*40=2480']
Exploring Operation: 2480-10=2470, Resulting Numbers: [95, 2470]
Generated Node #3: [95, 2470] from Operation: 2480-10=2470
Current State: 26:[95, 2470], Operations: ['62*40=2480', '2480-10=2470']
Exploring Operation: 2470/95=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
19,
24,
20,
37
] | 12 | [
"24-19=5",
"37-20=17",
"17-5=12"
] | Current State: 12:[19, 24, 20, 37], Operations: []
Exploring Operation: 24-19=5, Resulting Numbers: [20, 37, 5]
Generated Node #2: [20, 37, 5] from Operation: 24-19=5
Current State: 12:[20, 37, 5], Operations: ['24-19=5']
Exploring Operation: 37-20=17, Resulting Numbers: [5, 17]
Generated Node #3: [5, 17] from Operation: 37-20=17
Current State: 12:[5, 17], Operations: ['24-19=5', '37-20=17']
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
51,
49,
23,
27
] | 25 | [
"51+49=100",
"27-23=4",
"100/4=25"
] | Current State: 25:[51, 49, 23, 27], Operations: []
Exploring Operation: 51+49=100, Resulting Numbers: [23, 27, 100]
Generated Node #2: [23, 27, 100] from Operation: 51+49=100
Current State: 25:[23, 27, 100], Operations: ['51+49=100']
Exploring Operation: 27-23=4, Resulting Numbers: [100, 4]
Generated Node #3: [100, 4] from Operation: 27-23=4
Current State: 25:[100, 4], Operations: ['51+49=100', '27-23=4']
Exploring Operation: 100/4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
67,
51,
2,
39
] | 98 | [
"67+51=118",
"118/2=59",
"39+59=98"
] | Current State: 98:[67, 51, 2, 39], Operations: []
Exploring Operation: 67+51=118, Resulting Numbers: [2, 39, 118]
Generated Node #2: [2, 39, 118] from Operation: 67+51=118
Current State: 98:[2, 39, 118], Operations: ['67+51=118']
Exploring Operation: 118/2=59, Resulting Numbers: [39, 59]
Generated Node #3: [39, 59] from Operation: 118/2=59
Current State: 98:[39, 59], Operations: ['67+51=118', '118/2=59']
Exploring Operation: 39+59=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
85,
76,
47,
28
] | 89 | [
"47-28=19",
"76/19=4",
"85+4=89"
] | Current State: 89:[85, 76, 47, 28], Operations: []
Exploring Operation: 47-28=19, Resulting Numbers: [85, 76, 19]
Generated Node #2: [85, 76, 19] from Operation: 47-28=19
Current State: 89:[85, 76, 19], Operations: ['47-28=19']
Exploring Operation: 76/19=4, Resulting Numbers: [85, 4]
Generated Node #3: [85, 4] from Operation: 76/19=4
Current State: 89:[85, 4], Operations: ['47-28=19', '76/19=4']
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
26,
62,
45,
65
] | 22 | [
"26+62=88",
"45+65=110",
"110-88=22"
] | Current State: 22:[26, 62, 45, 65], Operations: []
Exploring Operation: 26+62=88, Resulting Numbers: [45, 65, 88]
Generated Node #2: [45, 65, 88] from Operation: 26+62=88
Current State: 22:[45, 65, 88], Operations: ['26+62=88']
Exploring Operation: 45+65=110, Resulting Numbers: [88, 110]
Generated Node #3: [88, 110] from Operation: 45+65=110
Current State: 22:[88, 110], Operations: ['26+62=88', '45+65=110']
Exploring Operation: 110-88=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
40,
79,
96,
87
] | 30 | [
"79-40=39",
"96-87=9",
"39-9=30"
] | Current State: 30:[40, 79, 96, 87], Operations: []
Exploring Operation: 79-40=39, Resulting Numbers: [96, 87, 39]
Generated Node #2: [96, 87, 39] from Operation: 79-40=39
Current State: 30:[96, 87, 39], Operations: ['79-40=39']
Exploring Operation: 96-87=9, Resulting Numbers: [39, 9]
Generated Node #3: [39, 9] from Operation: 96-87=9
Current State: 30:[39, 9], Operations: ['79-40=39', '96-87=9']
Exploring Operation: 39-9=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
43,
51,
20,
23
] | 35 | [
"51-43=8",
"20+23=43",
"43-8=35"
] | Current State: 35:[43, 51, 20, 23], Operations: []
Exploring Operation: 51-43=8, Resulting Numbers: [20, 23, 8]
Generated Node #2: [20, 23, 8] from Operation: 51-43=8
Current State: 35:[20, 23, 8], Operations: ['51-43=8']
Exploring Operation: 20+23=43, Resulting Numbers: [8, 43]
Generated Node #3: [8, 43] from Operation: 20+23=43
Current State: 35:[8, 43], Operations: ['51-43=8', '20+23=43']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
72,
37,
56,
18
] | 51 | [
"72/18=4",
"56/4=14",
"37+14=51"
] | Current State: 51:[72, 37, 56, 18], Operations: []
Exploring Operation: 72/18=4, Resulting Numbers: [37, 56, 4]
Generated Node #2: [37, 56, 4] from Operation: 72/18=4
Current State: 51:[37, 56, 4], Operations: ['72/18=4']
Exploring Operation: 56/4=14, Resulting Numbers: [37, 14]
Generated Node #3: [37, 14] from Operation: 56/4=14
Current State: 51:[37, 14], Operations: ['72/18=4', '56/4=14']
Exploring Operation: 37+14=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
97,
47,
96,
58
] | 87 | [
"97+47=144",
"58*144=8352",
"8352/96=87"
] | Current State: 87:[97, 47, 96, 58], Operations: []
Exploring Operation: 97+47=144, Resulting Numbers: [96, 58, 144]
Generated Node #2: [96, 58, 144] from Operation: 97+47=144
Current State: 87:[96, 58, 144], Operations: ['97+47=144']
Exploring Operation: 58*144=8352, Resulting Numbers: [96, 8352]
Generated Node #3: [96, 8352] from Operation: 58*144=8352
Current State: 87:[96, 8352], Operations: ['97+47=144', '58*144=8352']
Exploring Operation: 8352/96=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
83,
23,
47,
82
] | 71 | [
"83+23=106",
"82-47=35",
"106-35=71"
] | Current State: 71:[83, 23, 47, 82], Operations: []
Exploring Operation: 83+23=106, Resulting Numbers: [47, 82, 106]
Generated Node #2: [47, 82, 106] from Operation: 83+23=106
Current State: 71:[47, 82, 106], Operations: ['83+23=106']
Exploring Operation: 82-47=35, Resulting Numbers: [106, 35]
Generated Node #3: [106, 35] from Operation: 82-47=35
Current State: 71:[106, 35], Operations: ['83+23=106', '82-47=35']
Exploring Operation: 106-35=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
86,
89,
43,
61
] | 54 | [
"89-86=3",
"61-43=18",
"3*18=54"
] | Current State: 54:[86, 89, 43, 61], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [43, 61, 3]
Generated Node #2: [43, 61, 3] from Operation: 89-86=3
Current State: 54:[43, 61, 3], Operations: ['89-86=3']
Exploring Operation: 61-43=18, Resulting Numbers: [3, 18]
Generated Node #3: [3, 18] from Operation: 61-43=18
Current State: 54:[3, 18], Operations: ['89-86=3', '61-43=18']
Exploring Operation: 3*18=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
43,
96,
53,
45
] | 41 | [
"43+96=139",
"53+45=98",
"139-98=41"
] | Current State: 41:[43, 96, 53, 45], Operations: []
Exploring Operation: 43+96=139, Resulting Numbers: [53, 45, 139]
Generated Node #2: [53, 45, 139] from Operation: 43+96=139
Current State: 41:[53, 45, 139], Operations: ['43+96=139']
Exploring Operation: 53+45=98, Resulting Numbers: [139, 98]
Generated Node #3: [139, 98] from Operation: 53+45=98
Current State: 41:[139, 98], Operations: ['43+96=139', '53+45=98']
Exploring Operation: 139-98=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
71,
70,
37,
98
] | 60 | [
"71-70=1",
"98-37=61",
"61-1=60"
] | Current State: 60:[71, 70, 37, 98], Operations: []
Exploring Operation: 71-70=1, Resulting Numbers: [37, 98, 1]
Generated Node #2: [37, 98, 1] from Operation: 71-70=1
Current State: 60:[37, 98, 1], Operations: ['71-70=1']
Exploring Operation: 98-37=61, Resulting Numbers: [1, 61]
Generated Node #3: [1, 61] from Operation: 98-37=61
Current State: 60:[1, 61], Operations: ['71-70=1', '98-37=61']
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
58,
87,
62,
19
] | 72 | [
"87-58=29",
"62-19=43",
"29+43=72"
] | Current State: 72:[58, 87, 62, 19], Operations: []
Exploring Operation: 87-58=29, Resulting Numbers: [62, 19, 29]
Generated Node #2: [62, 19, 29] from Operation: 87-58=29
Current State: 72:[62, 19, 29], Operations: ['87-58=29']
Exploring Operation: 62-19=43, Resulting Numbers: [29, 43]
Generated Node #3: [29, 43] from Operation: 62-19=43
Current State: 72:[29, 43], Operations: ['87-58=29', '62-19=43']
Exploring Operation: 29+43=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
14,
64,
53,
27
] | 30 | [
"64-14=50",
"53+27=80",
"80-50=30"
] | Current State: 30:[14, 64, 53, 27], Operations: []
Exploring Operation: 64-14=50, Resulting Numbers: [53, 27, 50]
Generated Node #2: [53, 27, 50] from Operation: 64-14=50
Current State: 30:[53, 27, 50], Operations: ['64-14=50']
Exploring Operation: 53+27=80, Resulting Numbers: [50, 80]
Generated Node #3: [50, 80] from Operation: 53+27=80
Current State: 30:[50, 80], Operations: ['64-14=50', '53+27=80']
Exploring Operation: 80-50=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
70,
31,
66,
44
] | 52 | [
"70-66=4",
"44-31=13",
"4*13=52"
] | Current State: 52:[70, 31, 66, 44], Operations: []
Exploring Operation: 70-66=4, Resulting Numbers: [31, 44, 4]
Generated Node #2: [31, 44, 4] from Operation: 70-66=4
Current State: 52:[31, 44, 4], Operations: ['70-66=4']
Exploring Operation: 44-31=13, Resulting Numbers: [4, 13]
Generated Node #3: [4, 13] from Operation: 44-31=13
Current State: 52:[4, 13], Operations: ['70-66=4', '44-31=13']
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
83,
56,
52,
50
] | 54 | [
"83-56=27",
"52-50=2",
"27*2=54"
] | Current State: 54:[83, 56, 52, 50], Operations: []
Exploring Operation: 83-56=27, Resulting Numbers: [52, 50, 27]
Generated Node #2: [52, 50, 27] from Operation: 83-56=27
Current State: 54:[52, 50, 27], Operations: ['83-56=27']
Exploring Operation: 52-50=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 52-50=2
Current State: 54:[27, 2], Operations: ['83-56=27', '52-50=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
26,
27,
39,
18
] | 96 | [
"26-18=8",
"39-27=12",
"8*12=96"
] | Current State: 96:[26, 27, 39, 18], Operations: []
Exploring Operation: 26-18=8, Resulting Numbers: [27, 39, 8]
Generated Node #2: [27, 39, 8] from Operation: 26-18=8
Current State: 96:[27, 39, 8], Operations: ['26-18=8']
Exploring Operation: 39-27=12, Resulting Numbers: [8, 12]
Generated Node #3: [8, 12] from Operation: 39-27=12
Current State: 96:[8, 12], Operations: ['26-18=8', '39-27=12']
Exploring Operation: 8*12=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
2,
82,
89,
59
] | 43 | [
"82-59=23",
"2*23=46",
"89-46=43"
] | Current State: 43:[2, 82, 89, 59], Operations: []
Exploring Operation: 82-59=23, Resulting Numbers: [2, 89, 23]
Generated Node #2: [2, 89, 23] from Operation: 82-59=23
Current State: 43:[2, 89, 23], Operations: ['82-59=23']
Exploring Operation: 2*23=46, Resulting Numbers: [89, 46]
Generated Node #3: [89, 46] from Operation: 2*23=46
Current State: 43:[89, 46], Operations: ['82-59=23', '2*23=46']
Exploring Operation: 89-46=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
11,
34,
56,
28
] | 51 | [
"34-11=23",
"56-28=28",
"23+28=51"
] | Current State: 51:[11, 34, 56, 28], Operations: []
Exploring Operation: 34-11=23, Resulting Numbers: [56, 28, 23]
Generated Node #2: [56, 28, 23] from Operation: 34-11=23
Current State: 51:[56, 28, 23], Operations: ['34-11=23']
Exploring Operation: 56-28=28, Resulting Numbers: [23, 28]
Generated Node #3: [23, 28] from Operation: 56-28=28
Current State: 51:[23, 28], Operations: ['34-11=23', '56-28=28']
Exploring Operation: 23+28=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
20,
2,
7,
16
] | 30 | [
"20-16=4",
"7*4=28",
"2+28=30"
] | Current State: 30:[20, 2, 7, 16], Operations: []
Exploring Operation: 20-16=4, Resulting Numbers: [2, 7, 4]
Generated Node #2: [2, 7, 4] from Operation: 20-16=4
Current State: 30:[2, 7, 4], Operations: ['20-16=4']
Exploring Operation: 7*4=28, Resulting Numbers: [2, 28]
Generated Node #3: [2, 28] from Operation: 7*4=28
Current State: 30:[2, 28], Operations: ['20-16=4', '7*4=28']
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
14,
6,
68,
31
] | 34 | [
"31-14=17",
"6*17=102",
"102-68=34"
] | Current State: 34:[14, 6, 68, 31], Operations: []
Exploring Operation: 31-14=17, Resulting Numbers: [6, 68, 17]
Generated Node #2: [6, 68, 17] from Operation: 31-14=17
Current State: 34:[6, 68, 17], Operations: ['31-14=17']
Exploring Operation: 6*17=102, Resulting Numbers: [68, 102]
Generated Node #3: [68, 102] from Operation: 6*17=102
Current State: 34:[68, 102], Operations: ['31-14=17', '6*17=102']
Exploring Operation: 102-68=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
9,
75,
51,
48
] | 22 | [
"75-9=66",
"51-48=3",
"66/3=22"
] | Current State: 22:[9, 75, 51, 48], Operations: []
Exploring Operation: 75-9=66, Resulting Numbers: [51, 48, 66]
Generated Node #2: [51, 48, 66] from Operation: 75-9=66
Current State: 22:[51, 48, 66], Operations: ['75-9=66']
Exploring Operation: 51-48=3, Resulting Numbers: [66, 3]
Generated Node #3: [66, 3] from Operation: 51-48=3
Current State: 22:[66, 3], Operations: ['75-9=66', '51-48=3']
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
32,
31,
12,
60
] | 68 | [
"32+31=63",
"60/12=5",
"63+5=68"
] | Current State: 68:[32, 31, 12, 60], Operations: []
Exploring Operation: 32+31=63, Resulting Numbers: [12, 60, 63]
Generated Node #2: [12, 60, 63] from Operation: 32+31=63
Current State: 68:[12, 60, 63], Operations: ['32+31=63']
Exploring Operation: 60/12=5, Resulting Numbers: [63, 5]
Generated Node #3: [63, 5] from Operation: 60/12=5
Current State: 68:[63, 5], Operations: ['32+31=63', '60/12=5']
Exploring Operation: 63+5=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
1,
89,
30,
4
] | 32 | [
"89-1=88",
"30*4=120",
"120-88=32"
] | Current State: 32:[1, 89, 30, 4], Operations: []
Exploring Operation: 89-1=88, Resulting Numbers: [30, 4, 88]
Generated Node #2: [30, 4, 88] from Operation: 89-1=88
Current State: 32:[30, 4, 88], Operations: ['89-1=88']
Exploring Operation: 30*4=120, Resulting Numbers: [88, 120]
Generated Node #3: [88, 120] from Operation: 30*4=120
Current State: 32:[88, 120], Operations: ['89-1=88', '30*4=120']
Exploring Operation: 120-88=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
94,
74,
61,
68
] | 39 | [
"94+74=168",
"61+68=129",
"168-129=39"
] | Current State: 39:[94, 74, 61, 68], Operations: []
Exploring Operation: 94+74=168, Resulting Numbers: [61, 68, 168]
Generated Node #2: [61, 68, 168] from Operation: 94+74=168
Current State: 39:[61, 68, 168], Operations: ['94+74=168']
Exploring Operation: 61+68=129, Resulting Numbers: [168, 129]
Generated Node #3: [168, 129] from Operation: 61+68=129
Current State: 39:[168, 129], Operations: ['94+74=168', '61+68=129']
Exploring Operation: 168-129=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
3,
20,
6,
60
] | 62 | [
"3*6=18",
"20+60=80",
"80-18=62"
] | Current State: 62:[3, 20, 6, 60], Operations: []
Exploring Operation: 3*6=18, Resulting Numbers: [20, 60, 18]
Generated Node #2: [20, 60, 18] from Operation: 3*6=18
Current State: 62:[20, 60, 18], Operations: ['3*6=18']
Exploring Operation: 20+60=80, Resulting Numbers: [18, 80]
Generated Node #3: [18, 80] from Operation: 20+60=80
Current State: 62:[18, 80], Operations: ['3*6=18', '20+60=80']
Exploring Operation: 80-18=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
24,
25,
41,
29
] | 11 | [
"25-24=1",
"41-29=12",
"12-1=11"
] | Current State: 11:[24, 25, 41, 29], Operations: []
Exploring Operation: 25-24=1, Resulting Numbers: [41, 29, 1]
Generated Node #2: [41, 29, 1] from Operation: 25-24=1
Current State: 11:[41, 29, 1], Operations: ['25-24=1']
Exploring Operation: 41-29=12, Resulting Numbers: [1, 12]
Generated Node #3: [1, 12] from Operation: 41-29=12
Current State: 11:[1, 12], Operations: ['25-24=1', '41-29=12']
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
83,
14,
71,
77
] | 88 | [
"83+71=154",
"154/14=11",
"77+11=88"
] | Current State: 88:[83, 14, 71, 77], Operations: []
Exploring Operation: 83+71=154, Resulting Numbers: [14, 77, 154]
Generated Node #2: [14, 77, 154] from Operation: 83+71=154
Current State: 88:[14, 77, 154], Operations: ['83+71=154']
Exploring Operation: 154/14=11, Resulting Numbers: [77, 11]
Generated Node #3: [77, 11] from Operation: 154/14=11
Current State: 88:[77, 11], Operations: ['83+71=154', '154/14=11']
Exploring Operation: 77+11=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
73,
11,
20,
49
] | 44 | [
"73-20=53",
"53-49=4",
"11*4=44"
] | Current State: 44:[73, 11, 20, 49], Operations: []
Exploring Operation: 73-20=53, Resulting Numbers: [11, 49, 53]
Generated Node #2: [11, 49, 53] from Operation: 73-20=53
Current State: 44:[11, 49, 53], Operations: ['73-20=53']
Exploring Operation: 53-49=4, Resulting Numbers: [11, 4]
Generated Node #3: [11, 4] from Operation: 53-49=4
Current State: 44:[11, 4], Operations: ['73-20=53', '53-49=4']
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
15,
40,
12,
17
] | 67 | [
"15*40=600",
"600/12=50",
"17+50=67"
] | Current State: 67:[15, 40, 12, 17], Operations: []
Exploring Operation: 15*40=600, Resulting Numbers: [12, 17, 600]
Generated Node #2: [12, 17, 600] from Operation: 15*40=600
Current State: 67:[12, 17, 600], Operations: ['15*40=600']
Exploring Operation: 600/12=50, Resulting Numbers: [17, 50]
Generated Node #3: [17, 50] from Operation: 600/12=50
Current State: 67:[17, 50], Operations: ['15*40=600', '600/12=50']
Exploring Operation: 17+50=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
58,
1,
98,
86
] | 69 | [
"58-1=57",
"98-86=12",
"57+12=69"
] | Current State: 69:[58, 1, 98, 86], Operations: []
Exploring Operation: 58-1=57, Resulting Numbers: [98, 86, 57]
Generated Node #2: [98, 86, 57] from Operation: 58-1=57
Current State: 69:[98, 86, 57], Operations: ['58-1=57']
Exploring Operation: 98-86=12, Resulting Numbers: [57, 12]
Generated Node #3: [57, 12] from Operation: 98-86=12
Current State: 69:[57, 12], Operations: ['58-1=57', '98-86=12']
Exploring Operation: 57+12=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
4,
78,
14,
58
] | 89 | [
"58-14=44",
"44/4=11",
"78+11=89"
] | Current State: 89:[4, 78, 14, 58], Operations: []
Exploring Operation: 58-14=44, Resulting Numbers: [4, 78, 44]
Generated Node #2: [4, 78, 44] from Operation: 58-14=44
Current State: 89:[4, 78, 44], Operations: ['58-14=44']
Exploring Operation: 44/4=11, Resulting Numbers: [78, 11]
Generated Node #3: [78, 11] from Operation: 44/4=11
Current State: 89:[78, 11], Operations: ['58-14=44', '44/4=11']
Exploring Operation: 78+11=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
11,
79,
69,
30
] | 70 | [
"69+30=99",
"99/11=9",
"79-9=70"
] | Current State: 70:[11, 79, 69, 30], Operations: []
Exploring Operation: 69+30=99, Resulting Numbers: [11, 79, 99]
Generated Node #2: [11, 79, 99] from Operation: 69+30=99
Current State: 70:[11, 79, 99], Operations: ['69+30=99']
Exploring Operation: 99/11=9, Resulting Numbers: [79, 9]
Generated Node #3: [79, 9] from Operation: 99/11=9
Current State: 70:[79, 9], Operations: ['69+30=99', '99/11=9']
Exploring Operation: 79-9=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
50,
16,
23,
33
] | 23 | [
"50-16=34",
"34-33=1",
"23*1=23"
] | Current State: 23:[50, 16, 23, 33], Operations: []
Exploring Operation: 50-16=34, Resulting Numbers: [23, 33, 34]
Generated Node #2: [23, 33, 34] from Operation: 50-16=34
Current State: 23:[23, 33, 34], Operations: ['50-16=34']
Exploring Operation: 34-33=1, Resulting Numbers: [23, 1]
Generated Node #3: [23, 1] from Operation: 34-33=1
Current State: 23:[23, 1], Operations: ['50-16=34', '34-33=1']
Exploring Operation: 23*1=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
62,
51,
9,
82
] | 67 | [
"62+82=144",
"144/9=16",
"51+16=67"
] | Current State: 67:[62, 51, 9, 82], Operations: []
Exploring Operation: 62+82=144, Resulting Numbers: [51, 9, 144]
Generated Node #2: [51, 9, 144] from Operation: 62+82=144
Current State: 67:[51, 9, 144], Operations: ['62+82=144']
Exploring Operation: 144/9=16, Resulting Numbers: [51, 16]
Generated Node #3: [51, 16] from Operation: 144/9=16
Current State: 67:[51, 16], Operations: ['62+82=144', '144/9=16']
Exploring Operation: 51+16=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
5,
46,
48,
16
] | 17 | [
"5+46=51",
"48/16=3",
"51/3=17"
] | Current State: 17:[5, 46, 48, 16], Operations: []
Exploring Operation: 5+46=51, Resulting Numbers: [48, 16, 51]
Generated Node #2: [48, 16, 51] from Operation: 5+46=51
Current State: 17:[48, 16, 51], Operations: ['5+46=51']
Exploring Operation: 48/16=3, Resulting Numbers: [51, 3]
Generated Node #3: [51, 3] from Operation: 48/16=3
Current State: 17:[51, 3], Operations: ['5+46=51', '48/16=3']
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
43,
61,
88,
59
] | 75 | [
"43+61=104",
"88-59=29",
"104-29=75"
] | Current State: 75:[43, 61, 88, 59], Operations: []
Exploring Operation: 43+61=104, Resulting Numbers: [88, 59, 104]
Generated Node #2: [88, 59, 104] from Operation: 43+61=104
Current State: 75:[88, 59, 104], Operations: ['43+61=104']
Exploring Operation: 88-59=29, Resulting Numbers: [104, 29]
Generated Node #3: [104, 29] from Operation: 88-59=29
Current State: 75:[104, 29], Operations: ['43+61=104', '88-59=29']
Exploring Operation: 104-29=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
93,
8,
65,
93
] | 73 | [
"93+8=101",
"93-65=28",
"101-28=73"
] | Current State: 73:[93, 8, 65, 93], Operations: []
Exploring Operation: 93+8=101, Resulting Numbers: [65, 101]
Generated Node #2: [65, 101] from Operation: 93+8=101
Current State: 73:[65, 101], Operations: ['93+8=101']
Exploring Operation: 93-65=28, Resulting Numbers: [101, 28]
Generated Node #3: [101, 28] from Operation: 93-65=28
Current State: 73:[101, 28], Operations: ['93+8=101', '93-65=28']
Exploring Operation: 101-28=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
68,
93,
32,
49
] | 89 | [
"49-32=17",
"68/17=4",
"93-4=89"
] | Current State: 89:[68, 93, 32, 49], Operations: []
Exploring Operation: 49-32=17, Resulting Numbers: [68, 93, 17]
Generated Node #2: [68, 93, 17] from Operation: 49-32=17
Current State: 89:[68, 93, 17], Operations: ['49-32=17']
Exploring Operation: 68/17=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 68/17=4
Current State: 89:[93, 4], Operations: ['49-32=17', '68/17=4']
Exploring Operation: 93-4=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
46,
23,
50,
55
] | 74 | [
"46+23=69",
"55-50=5",
"69+5=74"
] | Current State: 74:[46, 23, 50, 55], Operations: []
Exploring Operation: 46+23=69, Resulting Numbers: [50, 55, 69]
Generated Node #2: [50, 55, 69] from Operation: 46+23=69
Current State: 74:[50, 55, 69], Operations: ['46+23=69']
Exploring Operation: 55-50=5, Resulting Numbers: [69, 5]
Generated Node #3: [69, 5] from Operation: 55-50=5
Current State: 74:[69, 5], Operations: ['46+23=69', '55-50=5']
Exploring Operation: 69+5=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
83,
77,
90,
65
] | 72 | [
"83-65=18",
"90/18=5",
"77-5=72"
] | Current State: 72:[83, 77, 90, 65], Operations: []
Exploring Operation: 83-65=18, Resulting Numbers: [77, 90, 18]
Generated Node #2: [77, 90, 18] from Operation: 83-65=18
Current State: 72:[77, 90, 18], Operations: ['83-65=18']
Exploring Operation: 90/18=5, Resulting Numbers: [77, 5]
Generated Node #3: [77, 5] from Operation: 90/18=5
Current State: 72:[77, 5], Operations: ['83-65=18', '90/18=5']
Exploring Operation: 77-5=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
85,
82,
48,
27
] | 24 | [
"85-82=3",
"48-27=21",
"3+21=24"
] | Current State: 24:[85, 82, 48, 27], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [48, 27, 3]
Generated Node #2: [48, 27, 3] from Operation: 85-82=3
Current State: 24:[48, 27, 3], Operations: ['85-82=3']
Exploring Operation: 48-27=21, Resulting Numbers: [3, 21]
Generated Node #3: [3, 21] from Operation: 48-27=21
Current State: 24:[3, 21], Operations: ['85-82=3', '48-27=21']
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
81,
39,
6,
84
] | 15 | [
"84-81=3",
"39+6=45",
"45/3=15"
] | Current State: 15:[81, 39, 6, 84], Operations: []
Exploring Operation: 84-81=3, Resulting Numbers: [39, 6, 3]
Generated Node #2: [39, 6, 3] from Operation: 84-81=3
Current State: 15:[39, 6, 3], Operations: ['84-81=3']
Exploring Operation: 39+6=45, Resulting Numbers: [3, 45]
Generated Node #3: [3, 45] from Operation: 39+6=45
Current State: 15:[3, 45], Operations: ['84-81=3', '39+6=45']
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
53,
3,
29,
40
] | 10 | [
"53-40=13",
"3*13=39",
"39-29=10"
] | Current State: 10:[53, 3, 29, 40], Operations: []
Exploring Operation: 53-40=13, Resulting Numbers: [3, 29, 13]
Generated Node #2: [3, 29, 13] from Operation: 53-40=13
Current State: 10:[3, 29, 13], Operations: ['53-40=13']
Exploring Operation: 3*13=39, Resulting Numbers: [29, 39]
Generated Node #3: [29, 39] from Operation: 3*13=39
Current State: 10:[29, 39], Operations: ['53-40=13', '3*13=39']
Exploring Operation: 39-29=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
73,
9,
5,
15
] | 61 | [
"73-9=64",
"15/5=3",
"64-3=61"
] | Current State: 61:[73, 9, 5, 15], Operations: []
Exploring Operation: 73-9=64, Resulting Numbers: [5, 15, 64]
Generated Node #2: [5, 15, 64] from Operation: 73-9=64
Current State: 61:[5, 15, 64], Operations: ['73-9=64']
Exploring Operation: 15/5=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 15/5=3
Current State: 61:[64, 3], Operations: ['73-9=64', '15/5=3']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
19,
72,
3,
88
] | 38 | [
"72-19=53",
"3+88=91",
"91-53=38"
] | Current State: 38:[19, 72, 3, 88], Operations: []
Exploring Operation: 72-19=53, Resulting Numbers: [3, 88, 53]
Generated Node #2: [3, 88, 53] from Operation: 72-19=53
Current State: 38:[3, 88, 53], Operations: ['72-19=53']
Exploring Operation: 3+88=91, Resulting Numbers: [53, 91]
Generated Node #3: [53, 91] from Operation: 3+88=91
Current State: 38:[53, 91], Operations: ['72-19=53', '3+88=91']
Exploring Operation: 91-53=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
81,
66,
87,
7
] | 95 | [
"81-66=15",
"87-7=80",
"15+80=95"
] | Current State: 95:[81, 66, 87, 7], Operations: []
Exploring Operation: 81-66=15, Resulting Numbers: [87, 7, 15]
Generated Node #2: [87, 7, 15] from Operation: 81-66=15
Current State: 95:[87, 7, 15], Operations: ['81-66=15']
Exploring Operation: 87-7=80, Resulting Numbers: [15, 80]
Generated Node #3: [15, 80] from Operation: 87-7=80
Current State: 95:[15, 80], Operations: ['81-66=15', '87-7=80']
Exploring Operation: 15+80=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
4,
69,
20,
39
] | 67 | [
"4*39=156",
"69+20=89",
"156-89=67"
] | Current State: 67:[4, 69, 20, 39], Operations: []
Exploring Operation: 4*39=156, Resulting Numbers: [69, 20, 156]
Generated Node #2: [69, 20, 156] from Operation: 4*39=156
Current State: 67:[69, 20, 156], Operations: ['4*39=156']
Exploring Operation: 69+20=89, Resulting Numbers: [156, 89]
Generated Node #3: [156, 89] from Operation: 69+20=89
Current State: 67:[156, 89], Operations: ['4*39=156', '69+20=89']
Exploring Operation: 156-89=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
90,
21,
30,
27
] | 15 | [
"27-21=6",
"90/6=15",
"30-15=15"
] | Current State: 15:[90, 21, 30, 27], Operations: []
Exploring Operation: 27-21=6, Resulting Numbers: [90, 30, 6]
Generated Node #2: [90, 30, 6] from Operation: 27-21=6
Current State: 15:[90, 30, 6], Operations: ['27-21=6']
Exploring Operation: 90/6=15, Resulting Numbers: [30, 15]
Generated Node #3: [30, 15] from Operation: 90/6=15
Current State: 15:[30, 15], Operations: ['27-21=6', '90/6=15']
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
12,
76,
38,
60
] | 50 | [
"60-12=48",
"76/38=2",
"48+2=50"
] | Current State: 50:[12, 76, 38, 60], Operations: []
Exploring Operation: 60-12=48, Resulting Numbers: [76, 38, 48]
Generated Node #2: [76, 38, 48] from Operation: 60-12=48
Current State: 50:[76, 38, 48], Operations: ['60-12=48']
Exploring Operation: 76/38=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 76/38=2
Current State: 50:[48, 2], Operations: ['60-12=48', '76/38=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
96,
42,
68,
63
] | 76 | [
"96*63=6048",
"6048/42=144",
"144-68=76"
] | Current State: 76:[96, 42, 68, 63], Operations: []
Exploring Operation: 96*63=6048, Resulting Numbers: [42, 68, 6048]
Generated Node #2: [42, 68, 6048] from Operation: 96*63=6048
Current State: 76:[42, 68, 6048], Operations: ['96*63=6048']
Exploring Operation: 6048/42=144, Resulting Numbers: [68, 144]
Generated Node #3: [68, 144] from Operation: 6048/42=144
Current State: 76:[68, 144], Operations: ['96*63=6048', '6048/42=144']
Exploring Operation: 144-68=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
28,
73,
55,
26
] | 34 | [
"73*26=1898",
"1898-28=1870",
"1870/55=34"
] | Current State: 34:[28, 73, 55, 26], Operations: []
Exploring Operation: 73*26=1898, Resulting Numbers: [28, 55, 1898]
Generated Node #2: [28, 55, 1898] from Operation: 73*26=1898
Current State: 34:[28, 55, 1898], Operations: ['73*26=1898']
Exploring Operation: 1898-28=1870, Resulting Numbers: [55, 1870]
Generated Node #3: [55, 1870] from Operation: 1898-28=1870
Current State: 34:[55, 1870], Operations: ['73*26=1898', '1898-28=1870']
Exploring Operation: 1870/55=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
72,
4,
89,
99
] | 86 | [
"72+4=76",
"99-89=10",
"76+10=86"
] | Current State: 86:[72, 4, 89, 99], Operations: []
Exploring Operation: 72+4=76, Resulting Numbers: [89, 99, 76]
Generated Node #2: [89, 99, 76] from Operation: 72+4=76
Current State: 86:[89, 99, 76], Operations: ['72+4=76']
Exploring Operation: 99-89=10, Resulting Numbers: [76, 10]
Generated Node #3: [76, 10] from Operation: 99-89=10
Current State: 86:[76, 10], Operations: ['72+4=76', '99-89=10']
Exploring Operation: 76+10=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
40,
70,
29,
46
] | 10 | [
"40*29=1160",
"70+46=116",
"1160/116=10"
] | Current State: 10:[40, 70, 29, 46], Operations: []
Exploring Operation: 40*29=1160, Resulting Numbers: [70, 46, 1160]
Generated Node #2: [70, 46, 1160] from Operation: 40*29=1160
Current State: 10:[70, 46, 1160], Operations: ['40*29=1160']
Exploring Operation: 70+46=116, Resulting Numbers: [1160, 116]
Generated Node #3: [1160, 116] from Operation: 70+46=116
Current State: 10:[1160, 116], Operations: ['40*29=1160', '70+46=116']
Exploring Operation: 1160/116=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
11,
80,
23,
40
] | 17 | [
"11+23=34",
"80/40=2",
"34/2=17"
] | Current State: 17:[11, 80, 23, 40], Operations: []
Exploring Operation: 11+23=34, Resulting Numbers: [80, 40, 34]
Generated Node #2: [80, 40, 34] from Operation: 11+23=34
Current State: 17:[80, 40, 34], Operations: ['11+23=34']
Exploring Operation: 80/40=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 80/40=2
Current State: 17:[34, 2], Operations: ['11+23=34', '80/40=2']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
70,
88,
22,
48
] | 18 | [
"70-48=22",
"88/22=4",
"22-4=18"
] | Current State: 18:[70, 88, 22, 48], Operations: []
Exploring Operation: 70-48=22, Resulting Numbers: [88, 22, 22]
Generated Node #2: [88, 22, 22] from Operation: 70-48=22
Current State: 18:[88, 22, 22], Operations: ['70-48=22']
Exploring Operation: 88/22=4, Resulting Numbers: [4]
4,18 equal: Goal Reached
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
2,
21,
78,
35
] | 25 | [
"78/2=39",
"35-21=14",
"39-14=25"
] | Current State: 25:[2, 21, 78, 35], Operations: []
Exploring Operation: 78/2=39, Resulting Numbers: [21, 35, 39]
Generated Node #2: [21, 35, 39] from Operation: 78/2=39
Current State: 25:[21, 35, 39], Operations: ['78/2=39']
Exploring Operation: 35-21=14, Resulting Numbers: [39, 14]
Generated Node #3: [39, 14] from Operation: 35-21=14
Current State: 25:[39, 14], Operations: ['78/2=39', '35-21=14']
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
19,
56,
88,
25
] | 38 | [
"19+56=75",
"88+25=113",
"113-75=38"
] | Current State: 38:[19, 56, 88, 25], Operations: []
Exploring Operation: 19+56=75, Resulting Numbers: [88, 25, 75]
Generated Node #2: [88, 25, 75] from Operation: 19+56=75
Current State: 38:[88, 25, 75], Operations: ['19+56=75']
Exploring Operation: 88+25=113, Resulting Numbers: [75, 113]
Generated Node #3: [75, 113] from Operation: 88+25=113
Current State: 38:[75, 113], Operations: ['19+56=75', '88+25=113']
Exploring Operation: 113-75=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
13,
23,
45,
69
] | 35 | [
"45-13=32",
"69/23=3",
"32+3=35"
] | Current State: 35:[13, 23, 45, 69], Operations: []
Exploring Operation: 45-13=32, Resulting Numbers: [23, 69, 32]
Generated Node #2: [23, 69, 32] from Operation: 45-13=32
Current State: 35:[23, 69, 32], Operations: ['45-13=32']
Exploring Operation: 69/23=3, Resulting Numbers: [32, 3]
Generated Node #3: [32, 3] from Operation: 69/23=3
Current State: 35:[32, 3], Operations: ['45-13=32', '69/23=3']
Exploring Operation: 32+3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
92,
94,
43,
21
] | 11 | [
"94-92=2",
"43-21=22",
"22/2=11"
] | Current State: 11:[92, 94, 43, 21], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [43, 21, 2]
Generated Node #2: [43, 21, 2] from Operation: 94-92=2
Current State: 11:[43, 21, 2], Operations: ['94-92=2']
Exploring Operation: 43-21=22, Resulting Numbers: [2, 22]
Generated Node #3: [2, 22] from Operation: 43-21=22
Current State: 11:[2, 22], Operations: ['94-92=2', '43-21=22']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
27,
32,
80,
25
] | 21 | [
"32-27=5",
"80+25=105",
"105/5=21"
] | Current State: 21:[27, 32, 80, 25], Operations: []
Exploring Operation: 32-27=5, Resulting Numbers: [80, 25, 5]
Generated Node #2: [80, 25, 5] from Operation: 32-27=5
Current State: 21:[80, 25, 5], Operations: ['32-27=5']
Exploring Operation: 80+25=105, Resulting Numbers: [5, 105]
Generated Node #3: [5, 105] from Operation: 80+25=105
Current State: 21:[5, 105], Operations: ['32-27=5', '80+25=105']
Exploring Operation: 105/5=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
74,
21,
64,
21
] | 11 | [
"74-64=10",
"21/21=1",
"10+1=11"
] | Current State: 11:[74, 21, 64, 21], Operations: []
Exploring Operation: 74-64=10, Resulting Numbers: [21, 21, 10]
Generated Node #2: [21, 21, 10] from Operation: 74-64=10
Current State: 11:[21, 21, 10], Operations: ['74-64=10']
Exploring Operation: 21/21=1, Resulting Numbers: [10, 1]
Generated Node #3: [10, 1] from Operation: 21/21=1
Current State: 11:[10, 1], Operations: ['74-64=10', '21/21=1']
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
57,
50,
28,
94
] | 73 | [
"57-50=7",
"94-28=66",
"7+66=73"
] | Current State: 73:[57, 50, 28, 94], Operations: []
Exploring Operation: 57-50=7, Resulting Numbers: [28, 94, 7]
Generated Node #2: [28, 94, 7] from Operation: 57-50=7
Current State: 73:[28, 94, 7], Operations: ['57-50=7']
Exploring Operation: 94-28=66, Resulting Numbers: [7, 66]
Generated Node #3: [7, 66] from Operation: 94-28=66
Current State: 73:[7, 66], Operations: ['57-50=7', '94-28=66']
Exploring Operation: 7+66=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
88,
65,
35,
8
] | 20 | [
"88-65=23",
"35+8=43",
"43-23=20"
] | Current State: 20:[88, 65, 35, 8], Operations: []
Exploring Operation: 88-65=23, Resulting Numbers: [35, 8, 23]
Generated Node #2: [35, 8, 23] from Operation: 88-65=23
Current State: 20:[35, 8, 23], Operations: ['88-65=23']
Exploring Operation: 35+8=43, Resulting Numbers: [23, 43]
Generated Node #3: [23, 43] from Operation: 35+8=43
Current State: 20:[23, 43], Operations: ['88-65=23', '35+8=43']
Exploring Operation: 43-23=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
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