nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
37,
72,
76,
22
] | 18 | [
"72+76=148",
"148/37=4",
"22-4=18"
] | Current State: 18:[37, 72, 76, 22], Operations: []
Exploring Operation: 72+76=148, Resulting Numbers: [37, 22, 148]
Generated Node #2: [37, 22, 148] from Operation: 72+76=148
Current State: 18:[37, 22, 148], Operations: ['72+76=148']
Exploring Operation: 148/37=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 148/37=4
Current State: 18:[22, 4], Operations: ['72+76=148', '148/37=4']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
96,
98,
8,
32
] | 90 | [
"96-32=64",
"64/8=8",
"98-8=90"
] | Current State: 90:[96, 98, 8, 32], Operations: []
Exploring Operation: 96-32=64, Resulting Numbers: [98, 8, 64]
Generated Node #2: [98, 8, 64] from Operation: 96-32=64
Current State: 90:[98, 8, 64], Operations: ['96-32=64']
Exploring Operation: 64/8=8, Resulting Numbers: [98, 8]
Generated Node #3: [98, 8] from Operation: 64/8=8
Current State: 90:[98, 8], Operations: ['96-32=64', '64/8=8']
Exploring Operation: 98-8=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
92,
35,
51,
20
] | 55 | [
"92*20=1840",
"35*51=1785",
"1840-1785=55"
] | Current State: 55:[92, 35, 51, 20], Operations: []
Exploring Operation: 92*20=1840, Resulting Numbers: [35, 51, 1840]
Generated Node #2: [35, 51, 1840] from Operation: 92*20=1840
Current State: 55:[35, 51, 1840], Operations: ['92*20=1840']
Exploring Operation: 35*51=1785, Resulting Numbers: [1840, 1785]
Generated Node #3: [1840, 1785] from Operation: 35*51=1785
Current State: 55:[1840, 1785], Operations: ['92*20=1840', '35*51=1785']
Exploring Operation: 1840-1785=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
78,
3,
46,
46
] | 76 | [
"78-3=75",
"46/46=1",
"75+1=76"
] | Current State: 76:[78, 3, 46, 46], Operations: []
Exploring Operation: 78-3=75, Resulting Numbers: [46, 46, 75]
Generated Node #2: [46, 46, 75] from Operation: 78-3=75
Current State: 76:[46, 46, 75], Operations: ['78-3=75']
Exploring Operation: 46/46=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 46/46=1
Current State: 76:[75, 1], Operations: ['78-3=75', '46/46=1']
Exploring Operation: 75+1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
14,
47,
54,
80
] | 94 | [
"54-14=40",
"47*80=3760",
"3760/40=94"
] | Current State: 94:[14, 47, 54, 80], Operations: []
Exploring Operation: 54-14=40, Resulting Numbers: [47, 80, 40]
Generated Node #2: [47, 80, 40] from Operation: 54-14=40
Current State: 94:[47, 80, 40], Operations: ['54-14=40']
Exploring Operation: 47*80=3760, Resulting Numbers: [40, 3760]
Generated Node #3: [40, 3760] from Operation: 47*80=3760
Current State: 94:[40, 3760], Operations: ['54-14=40', '47*80=3760']
Exploring Operation: 3760/40=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
70,
89,
3,
60
] | 59 | [
"70-60=10",
"3*10=30",
"89-30=59"
] | Current State: 59:[70, 89, 3, 60], Operations: []
Exploring Operation: 70-60=10, Resulting Numbers: [89, 3, 10]
Generated Node #2: [89, 3, 10] from Operation: 70-60=10
Current State: 59:[89, 3, 10], Operations: ['70-60=10']
Exploring Operation: 3*10=30, Resulting Numbers: [89, 30]
Generated Node #3: [89, 30] from Operation: 3*10=30
Current State: 59:[89, 30], Operations: ['70-60=10', '3*10=30']
Exploring Operation: 89-30=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
90,
98,
54,
48
] | 60 | [
"98-90=8",
"48/8=6",
"54+6=60"
] | Current State: 60:[90, 98, 54, 48], Operations: []
Exploring Operation: 98-90=8, Resulting Numbers: [54, 48, 8]
Generated Node #2: [54, 48, 8] from Operation: 98-90=8
Current State: 60:[54, 48, 8], Operations: ['98-90=8']
Exploring Operation: 48/8=6, Resulting Numbers: [54, 6]
Generated Node #3: [54, 6] from Operation: 48/8=6
Current State: 60:[54, 6], Operations: ['98-90=8', '48/8=6']
Exploring Operation: 54+6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
35,
93,
57,
40
] | 75 | [
"93-35=58",
"57-40=17",
"58+17=75"
] | Current State: 75:[35, 93, 57, 40], Operations: []
Exploring Operation: 93-35=58, Resulting Numbers: [57, 40, 58]
Generated Node #2: [57, 40, 58] from Operation: 93-35=58
Current State: 75:[57, 40, 58], Operations: ['93-35=58']
Exploring Operation: 57-40=17, Resulting Numbers: [58, 17]
Generated Node #3: [58, 17] from Operation: 57-40=17
Current State: 75:[58, 17], Operations: ['93-35=58', '57-40=17']
Exploring Operation: 58+17=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
54,
62,
98,
60
] | 40 | [
"98-62=36",
"60*36=2160",
"2160/54=40"
] | Current State: 40:[54, 62, 98, 60], Operations: []
Exploring Operation: 98-62=36, Resulting Numbers: [54, 60, 36]
Generated Node #2: [54, 60, 36] from Operation: 98-62=36
Current State: 40:[54, 60, 36], Operations: ['98-62=36']
Exploring Operation: 60*36=2160, Resulting Numbers: [54, 2160]
Generated Node #3: [54, 2160] from Operation: 60*36=2160
Current State: 40:[54, 2160], Operations: ['98-62=36', '60*36=2160']
Exploring Operation: 2160/54=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
32,
47,
64,
85
] | 76 | [
"64/32=2",
"85-47=38",
"2*38=76"
] | Current State: 76:[32, 47, 64, 85], Operations: []
Exploring Operation: 64/32=2, Resulting Numbers: [47, 85, 2]
Generated Node #2: [47, 85, 2] from Operation: 64/32=2
Current State: 76:[47, 85, 2], Operations: ['64/32=2']
Exploring Operation: 85-47=38, Resulting Numbers: [2, 38]
Generated Node #3: [2, 38] from Operation: 85-47=38
Current State: 76:[2, 38], Operations: ['64/32=2', '85-47=38']
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
11,
15,
23,
13
] | 32 | [
"15-11=4",
"23+13=36",
"36-4=32"
] | Current State: 32:[11, 15, 23, 13], Operations: []
Exploring Operation: 15-11=4, Resulting Numbers: [23, 13, 4]
Generated Node #2: [23, 13, 4] from Operation: 15-11=4
Current State: 32:[23, 13, 4], Operations: ['15-11=4']
Exploring Operation: 23+13=36, Resulting Numbers: [4, 36]
Generated Node #3: [4, 36] from Operation: 23+13=36
Current State: 32:[4, 36], Operations: ['15-11=4', '23+13=36']
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
31,
19,
76,
43
] | 21 | [
"31-19=12",
"76-43=33",
"33-12=21"
] | Current State: 21:[31, 19, 76, 43], Operations: []
Exploring Operation: 31-19=12, Resulting Numbers: [76, 43, 12]
Generated Node #2: [76, 43, 12] from Operation: 31-19=12
Current State: 21:[76, 43, 12], Operations: ['31-19=12']
Exploring Operation: 76-43=33, Resulting Numbers: [12, 33]
Generated Node #3: [12, 33] from Operation: 76-43=33
Current State: 21:[12, 33], Operations: ['31-19=12', '76-43=33']
Exploring Operation: 33-12=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
36,
96,
90,
46
] | 12 | [
"90-36=54",
"54-46=8",
"96/8=12"
] | Current State: 12:[36, 96, 90, 46], Operations: []
Exploring Operation: 90-36=54, Resulting Numbers: [96, 46, 54]
Generated Node #2: [96, 46, 54] from Operation: 90-36=54
Current State: 12:[96, 46, 54], Operations: ['90-36=54']
Exploring Operation: 54-46=8, Resulting Numbers: [96, 8]
Generated Node #3: [96, 8] from Operation: 54-46=8
Current State: 12:[96, 8], Operations: ['90-36=54', '54-46=8']
Exploring Operation: 96/8=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
19,
37,
34,
10
] | 27 | [
"19-10=9",
"37-34=3",
"9*3=27"
] | Current State: 27:[19, 37, 34, 10], Operations: []
Exploring Operation: 19-10=9, Resulting Numbers: [37, 34, 9]
Generated Node #2: [37, 34, 9] from Operation: 19-10=9
Current State: 27:[37, 34, 9], Operations: ['19-10=9']
Exploring Operation: 37-34=3, Resulting Numbers: [9, 3]
Generated Node #3: [9, 3] from Operation: 37-34=3
Current State: 27:[9, 3], Operations: ['19-10=9', '37-34=3']
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
55,
26,
92,
45
] | 18 | [
"55-26=29",
"92-45=47",
"47-29=18"
] | Current State: 18:[55, 26, 92, 45], Operations: []
Exploring Operation: 55-26=29, Resulting Numbers: [92, 45, 29]
Generated Node #2: [92, 45, 29] from Operation: 55-26=29
Current State: 18:[92, 45, 29], Operations: ['55-26=29']
Exploring Operation: 92-45=47, Resulting Numbers: [29, 47]
Generated Node #3: [29, 47] from Operation: 92-45=47
Current State: 18:[29, 47], Operations: ['55-26=29', '92-45=47']
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
31,
17,
91,
25
] | 11 | [
"31-25=6",
"17*6=102",
"102-91=11"
] | Current State: 11:[31, 17, 91, 25], Operations: []
Exploring Operation: 31-25=6, Resulting Numbers: [17, 91, 6]
Generated Node #2: [17, 91, 6] from Operation: 31-25=6
Current State: 11:[17, 91, 6], Operations: ['31-25=6']
Exploring Operation: 17*6=102, Resulting Numbers: [91, 102]
Generated Node #3: [91, 102] from Operation: 17*6=102
Current State: 11:[91, 102], Operations: ['31-25=6', '17*6=102']
Exploring Operation: 102-91=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
43,
5,
46,
1
] | 93 | [
"43+5=48",
"46-1=45",
"48+45=93"
] | Current State: 93:[43, 5, 46, 1], Operations: []
Exploring Operation: 43+5=48, Resulting Numbers: [46, 1, 48]
Generated Node #2: [46, 1, 48] from Operation: 43+5=48
Current State: 93:[46, 1, 48], Operations: ['43+5=48']
Exploring Operation: 46-1=45, Resulting Numbers: [48, 45]
Generated Node #3: [48, 45] from Operation: 46-1=45
Current State: 93:[48, 45], Operations: ['43+5=48', '46-1=45']
Exploring Operation: 48+45=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
68,
98,
9,
76
] | 55 | [
"98-68=30",
"9+76=85",
"85-30=55"
] | Current State: 55:[68, 98, 9, 76], Operations: []
Exploring Operation: 98-68=30, Resulting Numbers: [9, 76, 30]
Generated Node #2: [9, 76, 30] from Operation: 98-68=30
Current State: 55:[9, 76, 30], Operations: ['98-68=30']
Exploring Operation: 9+76=85, Resulting Numbers: [30, 85]
Generated Node #3: [30, 85] from Operation: 9+76=85
Current State: 55:[30, 85], Operations: ['98-68=30', '9+76=85']
Exploring Operation: 85-30=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
39,
4,
11,
34
] | 20 | [
"39+4=43",
"34-11=23",
"43-23=20"
] | Current State: 20:[39, 4, 11, 34], Operations: []
Exploring Operation: 39+4=43, Resulting Numbers: [11, 34, 43]
Generated Node #2: [11, 34, 43] from Operation: 39+4=43
Current State: 20:[11, 34, 43], Operations: ['39+4=43']
Exploring Operation: 34-11=23, Resulting Numbers: [43, 23]
Generated Node #3: [43, 23] from Operation: 34-11=23
Current State: 20:[43, 23], Operations: ['39+4=43', '34-11=23']
Exploring Operation: 43-23=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
88,
2,
47,
73
] | 79 | [
"88-73=15",
"2*47=94",
"94-15=79"
] | Current State: 79:[88, 2, 47, 73], Operations: []
Exploring Operation: 88-73=15, Resulting Numbers: [2, 47, 15]
Generated Node #2: [2, 47, 15] from Operation: 88-73=15
Current State: 79:[2, 47, 15], Operations: ['88-73=15']
Exploring Operation: 2*47=94, Resulting Numbers: [15, 94]
Generated Node #3: [15, 94] from Operation: 2*47=94
Current State: 79:[15, 94], Operations: ['88-73=15', '2*47=94']
Exploring Operation: 94-15=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
58,
37,
12,
27
] | 80 | [
"58+37=95",
"27-12=15",
"95-15=80"
] | Current State: 80:[58, 37, 12, 27], Operations: []
Exploring Operation: 58+37=95, Resulting Numbers: [12, 27, 95]
Generated Node #2: [12, 27, 95] from Operation: 58+37=95
Current State: 80:[12, 27, 95], Operations: ['58+37=95']
Exploring Operation: 27-12=15, Resulting Numbers: [95, 15]
Generated Node #3: [95, 15] from Operation: 27-12=15
Current State: 80:[95, 15], Operations: ['58+37=95', '27-12=15']
Exploring Operation: 95-15=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
26,
45,
4,
8
] | 39 | [
"26+45=71",
"4*8=32",
"71-32=39"
] | Current State: 39:[26, 45, 4, 8], Operations: []
Exploring Operation: 26+45=71, Resulting Numbers: [4, 8, 71]
Generated Node #2: [4, 8, 71] from Operation: 26+45=71
Current State: 39:[4, 8, 71], Operations: ['26+45=71']
Exploring Operation: 4*8=32, Resulting Numbers: [71, 32]
Generated Node #3: [71, 32] from Operation: 4*8=32
Current State: 39:[71, 32], Operations: ['26+45=71', '4*8=32']
Exploring Operation: 71-32=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
7,
93,
63,
42
] | 79 | [
"7+93=100",
"63-42=21",
"100-21=79"
] | Current State: 79:[7, 93, 63, 42], Operations: []
Exploring Operation: 7+93=100, Resulting Numbers: [63, 42, 100]
Generated Node #2: [63, 42, 100] from Operation: 7+93=100
Current State: 79:[63, 42, 100], Operations: ['7+93=100']
Exploring Operation: 63-42=21, Resulting Numbers: [100, 21]
Generated Node #3: [100, 21] from Operation: 63-42=21
Current State: 79:[100, 21], Operations: ['7+93=100', '63-42=21']
Exploring Operation: 100-21=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
2,
81,
35,
70
] | 59 | [
"2*35=70",
"81-70=11",
"70-11=59"
] | Current State: 59:[2, 81, 35, 70], Operations: []
Exploring Operation: 2*35=70, Resulting Numbers: [81, 70, 70]
Generated Node #2: [81, 70, 70] from Operation: 2*35=70
Current State: 59:[81, 70, 70], Operations: ['2*35=70']
Exploring Operation: 81-70=11, Resulting Numbers: [11]
11,59 equal: Goal Reached
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
67,
21,
22,
83
] | 17 | [
"67+21=88",
"22+83=105",
"105-88=17"
] | Current State: 17:[67, 21, 22, 83], Operations: []
Exploring Operation: 67+21=88, Resulting Numbers: [22, 83, 88]
Generated Node #2: [22, 83, 88] from Operation: 67+21=88
Current State: 17:[22, 83, 88], Operations: ['67+21=88']
Exploring Operation: 22+83=105, Resulting Numbers: [88, 105]
Generated Node #3: [88, 105] from Operation: 22+83=105
Current State: 17:[88, 105], Operations: ['67+21=88', '22+83=105']
Exploring Operation: 105-88=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
62,
40,
60,
59
] | 21 | [
"62-40=22",
"60-59=1",
"22-1=21"
] | Current State: 21:[62, 40, 60, 59], Operations: []
Exploring Operation: 62-40=22, Resulting Numbers: [60, 59, 22]
Generated Node #2: [60, 59, 22] from Operation: 62-40=22
Current State: 21:[60, 59, 22], Operations: ['62-40=22']
Exploring Operation: 60-59=1, Resulting Numbers: [22, 1]
Generated Node #3: [22, 1] from Operation: 60-59=1
Current State: 21:[22, 1], Operations: ['62-40=22', '60-59=1']
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
7,
45,
65,
72
] | 68 | [
"65-45=20",
"7*20=140",
"140-72=68"
] | Current State: 68:[7, 45, 65, 72], Operations: []
Exploring Operation: 65-45=20, Resulting Numbers: [7, 72, 20]
Generated Node #2: [7, 72, 20] from Operation: 65-45=20
Current State: 68:[7, 72, 20], Operations: ['65-45=20']
Exploring Operation: 7*20=140, Resulting Numbers: [72, 140]
Generated Node #3: [72, 140] from Operation: 7*20=140
Current State: 68:[72, 140], Operations: ['65-45=20', '7*20=140']
Exploring Operation: 140-72=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
48,
97,
80,
34
] | 46 | [
"97-80=17",
"34/17=2",
"48-2=46"
] | Current State: 46:[48, 97, 80, 34], Operations: []
Exploring Operation: 97-80=17, Resulting Numbers: [48, 34, 17]
Generated Node #2: [48, 34, 17] from Operation: 97-80=17
Current State: 46:[48, 34, 17], Operations: ['97-80=17']
Exploring Operation: 34/17=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 34/17=2
Current State: 46:[48, 2], Operations: ['97-80=17', '34/17=2']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
73,
19,
9,
26
] | 20 | [
"73-19=54",
"54/9=6",
"26-6=20"
] | Current State: 20:[73, 19, 9, 26], Operations: []
Exploring Operation: 73-19=54, Resulting Numbers: [9, 26, 54]
Generated Node #2: [9, 26, 54] from Operation: 73-19=54
Current State: 20:[9, 26, 54], Operations: ['73-19=54']
Exploring Operation: 54/9=6, Resulting Numbers: [26, 6]
Generated Node #3: [26, 6] from Operation: 54/9=6
Current State: 20:[26, 6], Operations: ['73-19=54', '54/9=6']
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
91,
76,
73,
30
] | 75 | [
"91-76=15",
"30/15=2",
"73+2=75"
] | Current State: 75:[91, 76, 73, 30], Operations: []
Exploring Operation: 91-76=15, Resulting Numbers: [73, 30, 15]
Generated Node #2: [73, 30, 15] from Operation: 91-76=15
Current State: 75:[73, 30, 15], Operations: ['91-76=15']
Exploring Operation: 30/15=2, Resulting Numbers: [73, 2]
Generated Node #3: [73, 2] from Operation: 30/15=2
Current State: 75:[73, 2], Operations: ['91-76=15', '30/15=2']
Exploring Operation: 73+2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
50,
40,
66,
85
] | 61 | [
"50+40=90",
"66+85=151",
"151-90=61"
] | Current State: 61:[50, 40, 66, 85], Operations: []
Exploring Operation: 50+40=90, Resulting Numbers: [66, 85, 90]
Generated Node #2: [66, 85, 90] from Operation: 50+40=90
Current State: 61:[66, 85, 90], Operations: ['50+40=90']
Exploring Operation: 66+85=151, Resulting Numbers: [90, 151]
Generated Node #3: [90, 151] from Operation: 66+85=151
Current State: 61:[90, 151], Operations: ['50+40=90', '66+85=151']
Exploring Operation: 151-90=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
51,
18,
17,
73
] | 90 | [
"51+17=68",
"73-68=5",
"18*5=90"
] | Current State: 90:[51, 18, 17, 73], Operations: []
Exploring Operation: 51+17=68, Resulting Numbers: [18, 73, 68]
Generated Node #2: [18, 73, 68] from Operation: 51+17=68
Current State: 90:[18, 73, 68], Operations: ['51+17=68']
Exploring Operation: 73-68=5, Resulting Numbers: [18, 5]
Generated Node #3: [18, 5] from Operation: 73-68=5
Current State: 90:[18, 5], Operations: ['51+17=68', '73-68=5']
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
11,
4,
56,
75
] | 34 | [
"11+4=15",
"75-56=19",
"15+19=34"
] | Current State: 34:[11, 4, 56, 75], Operations: []
Exploring Operation: 11+4=15, Resulting Numbers: [56, 75, 15]
Generated Node #2: [56, 75, 15] from Operation: 11+4=15
Current State: 34:[56, 75, 15], Operations: ['11+4=15']
Exploring Operation: 75-56=19, Resulting Numbers: [15, 19]
Generated Node #3: [15, 19] from Operation: 75-56=19
Current State: 34:[15, 19], Operations: ['11+4=15', '75-56=19']
Exploring Operation: 15+19=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
13,
93,
73,
65
] | 88 | [
"93-13=80",
"73-65=8",
"80+8=88"
] | Current State: 88:[13, 93, 73, 65], Operations: []
Exploring Operation: 93-13=80, Resulting Numbers: [73, 65, 80]
Generated Node #2: [73, 65, 80] from Operation: 93-13=80
Current State: 88:[73, 65, 80], Operations: ['93-13=80']
Exploring Operation: 73-65=8, Resulting Numbers: [80, 8]
Generated Node #3: [80, 8] from Operation: 73-65=8
Current State: 88:[80, 8], Operations: ['93-13=80', '73-65=8']
Exploring Operation: 80+8=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
51,
20,
83,
84
] | 70 | [
"51+20=71",
"84-83=1",
"71-1=70"
] | Current State: 70:[51, 20, 83, 84], Operations: []
Exploring Operation: 51+20=71, Resulting Numbers: [83, 84, 71]
Generated Node #2: [83, 84, 71] from Operation: 51+20=71
Current State: 70:[83, 84, 71], Operations: ['51+20=71']
Exploring Operation: 84-83=1, Resulting Numbers: [71, 1]
Generated Node #3: [71, 1] from Operation: 84-83=1
Current State: 70:[71, 1], Operations: ['51+20=71', '84-83=1']
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
59,
7,
16,
56
] | 64 | [
"59-7=52",
"56-52=4",
"16*4=64"
] | Current State: 64:[59, 7, 16, 56], Operations: []
Exploring Operation: 59-7=52, Resulting Numbers: [16, 56, 52]
Generated Node #2: [16, 56, 52] from Operation: 59-7=52
Current State: 64:[16, 56, 52], Operations: ['59-7=52']
Exploring Operation: 56-52=4, Resulting Numbers: [16, 4]
Generated Node #3: [16, 4] from Operation: 56-52=4
Current State: 64:[16, 4], Operations: ['59-7=52', '56-52=4']
Exploring Operation: 16*4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
62,
64,
81,
38
] | 41 | [
"64-62=2",
"81-38=43",
"43-2=41"
] | Current State: 41:[62, 64, 81, 38], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [81, 38, 2]
Generated Node #2: [81, 38, 2] from Operation: 64-62=2
Current State: 41:[81, 38, 2], Operations: ['64-62=2']
Exploring Operation: 81-38=43, Resulting Numbers: [2, 43]
Generated Node #3: [2, 43] from Operation: 81-38=43
Current State: 41:[2, 43], Operations: ['64-62=2', '81-38=43']
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
34,
73,
34,
12
] | 16 | [
"34*34=1156",
"12+1156=1168",
"1168/73=16"
] | Current State: 16:[34, 73, 34, 12], Operations: []
Exploring Operation: 34*34=1156, Resulting Numbers: [73, 12, 1156]
Generated Node #2: [73, 12, 1156] from Operation: 34*34=1156
Current State: 16:[73, 12, 1156], Operations: ['34*34=1156']
Exploring Operation: 12+1156=1168, Resulting Numbers: [73, 1168]
Generated Node #3: [73, 1168] from Operation: 12+1156=1168
Current State: 16:[73, 1168], Operations: ['34*34=1156', '12+1156=1168']
Exploring Operation: 1168/73=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
58,
64,
99,
6
] | 98 | [
"64-58=6",
"6/6=1",
"99-1=98"
] | Current State: 98:[58, 64, 99, 6], Operations: []
Exploring Operation: 64-58=6, Resulting Numbers: [99, 6, 6]
Generated Node #2: [99, 6, 6] from Operation: 64-58=6
Current State: 98:[99, 6, 6], Operations: ['64-58=6']
Exploring Operation: 6/6=1, Resulting Numbers: [99, 1]
Generated Node #3: [99, 1] from Operation: 6/6=1
Current State: 98:[99, 1], Operations: ['64-58=6', '6/6=1']
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
25,
98,
91,
27
] | 59 | [
"25+98=123",
"91-27=64",
"123-64=59"
] | Current State: 59:[25, 98, 91, 27], Operations: []
Exploring Operation: 25+98=123, Resulting Numbers: [91, 27, 123]
Generated Node #2: [91, 27, 123] from Operation: 25+98=123
Current State: 59:[91, 27, 123], Operations: ['25+98=123']
Exploring Operation: 91-27=64, Resulting Numbers: [123, 64]
Generated Node #3: [123, 64] from Operation: 91-27=64
Current State: 59:[123, 64], Operations: ['25+98=123', '91-27=64']
Exploring Operation: 123-64=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
81,
84,
37,
9
] | 78 | [
"37-9=28",
"84/28=3",
"81-3=78"
] | Current State: 78:[81, 84, 37, 9], Operations: []
Exploring Operation: 37-9=28, Resulting Numbers: [81, 84, 28]
Generated Node #2: [81, 84, 28] from Operation: 37-9=28
Current State: 78:[81, 84, 28], Operations: ['37-9=28']
Exploring Operation: 84/28=3, Resulting Numbers: [81, 3]
Generated Node #3: [81, 3] from Operation: 84/28=3
Current State: 78:[81, 3], Operations: ['37-9=28', '84/28=3']
Exploring Operation: 81-3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
52,
8,
84,
38
] | 34 | [
"84-52=32",
"32/8=4",
"38-4=34"
] | Current State: 34:[52, 8, 84, 38], Operations: []
Exploring Operation: 84-52=32, Resulting Numbers: [8, 38, 32]
Generated Node #2: [8, 38, 32] from Operation: 84-52=32
Current State: 34:[8, 38, 32], Operations: ['84-52=32']
Exploring Operation: 32/8=4, Resulting Numbers: [38, 4]
Generated Node #3: [38, 4] from Operation: 32/8=4
Current State: 34:[38, 4], Operations: ['84-52=32', '32/8=4']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
82,
77,
52,
73
] | 26 | [
"82-77=5",
"73-52=21",
"5+21=26"
] | Current State: 26:[82, 77, 52, 73], Operations: []
Exploring Operation: 82-77=5, Resulting Numbers: [52, 73, 5]
Generated Node #2: [52, 73, 5] from Operation: 82-77=5
Current State: 26:[52, 73, 5], Operations: ['82-77=5']
Exploring Operation: 73-52=21, Resulting Numbers: [5, 21]
Generated Node #3: [5, 21] from Operation: 73-52=21
Current State: 26:[5, 21], Operations: ['82-77=5', '73-52=21']
Exploring Operation: 5+21=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
50,
75,
46,
44
] | 100 | [
"46-44=2",
"50/2=25",
"75+25=100"
] | Current State: 100:[50, 75, 46, 44], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [50, 75, 2]
Generated Node #2: [50, 75, 2] from Operation: 46-44=2
Current State: 100:[50, 75, 2], Operations: ['46-44=2']
Exploring Operation: 50/2=25, Resulting Numbers: [75, 25]
Generated Node #3: [75, 25] from Operation: 50/2=25
Current State: 100:[75, 25], Operations: ['46-44=2', '50/2=25']
Exploring Operation: 75+25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
67,
34,
23,
79
] | 69 | [
"67-34=33",
"23+79=102",
"102-33=69"
] | Current State: 69:[67, 34, 23, 79], Operations: []
Exploring Operation: 67-34=33, Resulting Numbers: [23, 79, 33]
Generated Node #2: [23, 79, 33] from Operation: 67-34=33
Current State: 69:[23, 79, 33], Operations: ['67-34=33']
Exploring Operation: 23+79=102, Resulting Numbers: [33, 102]
Generated Node #3: [33, 102] from Operation: 23+79=102
Current State: 69:[33, 102], Operations: ['67-34=33', '23+79=102']
Exploring Operation: 102-33=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
3,
6,
51,
57
] | 37 | [
"3*57=171",
"51+171=222",
"222/6=37"
] | Current State: 37:[3, 6, 51, 57], Operations: []
Exploring Operation: 3*57=171, Resulting Numbers: [6, 51, 171]
Generated Node #2: [6, 51, 171] from Operation: 3*57=171
Current State: 37:[6, 51, 171], Operations: ['3*57=171']
Exploring Operation: 51+171=222, Resulting Numbers: [6, 222]
Generated Node #3: [6, 222] from Operation: 51+171=222
Current State: 37:[6, 222], Operations: ['3*57=171', '51+171=222']
Exploring Operation: 222/6=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
83,
64,
58,
13
] | 90 | [
"83-64=19",
"58+13=71",
"19+71=90"
] | Current State: 90:[83, 64, 58, 13], Operations: []
Exploring Operation: 83-64=19, Resulting Numbers: [58, 13, 19]
Generated Node #2: [58, 13, 19] from Operation: 83-64=19
Current State: 90:[58, 13, 19], Operations: ['83-64=19']
Exploring Operation: 58+13=71, Resulting Numbers: [19, 71]
Generated Node #3: [19, 71] from Operation: 58+13=71
Current State: 90:[19, 71], Operations: ['83-64=19', '58+13=71']
Exploring Operation: 19+71=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
72,
10,
24,
3
] | 16 | [
"72/24=3",
"10+3=13",
"3+13=16"
] | Current State: 16:[72, 10, 24, 3], Operations: []
Exploring Operation: 72/24=3, Resulting Numbers: [10, 3, 3]
Generated Node #2: [10, 3, 3] from Operation: 72/24=3
Current State: 16:[10, 3, 3], Operations: ['72/24=3']
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,16 equal: Goal Reached
Exploring Operation: 3+13=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
13,
94,
2,
83
] | 37 | [
"13*2=26",
"94-83=11",
"26+11=37"
] | Current State: 37:[13, 94, 2, 83], Operations: []
Exploring Operation: 13*2=26, Resulting Numbers: [94, 83, 26]
Generated Node #2: [94, 83, 26] from Operation: 13*2=26
Current State: 37:[94, 83, 26], Operations: ['13*2=26']
Exploring Operation: 94-83=11, Resulting Numbers: [26, 11]
Generated Node #3: [26, 11] from Operation: 94-83=11
Current State: 37:[26, 11], Operations: ['13*2=26', '94-83=11']
Exploring Operation: 26+11=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
1,
40,
71,
30
] | 61 | [
"1*40=40",
"71+30=101",
"101-40=61"
] | Current State: 61:[1, 40, 71, 30], Operations: []
Exploring Operation: 1*40=40, Resulting Numbers: [71, 30, 40]
Generated Node #2: [71, 30, 40] from Operation: 1*40=40
Current State: 61:[71, 30, 40], Operations: ['1*40=40']
Exploring Operation: 71+30=101, Resulting Numbers: [40, 101]
Generated Node #3: [40, 101] from Operation: 71+30=101
Current State: 61:[40, 101], Operations: ['1*40=40', '71+30=101']
Exploring Operation: 101-40=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
51,
73,
21,
85
] | 85 | [
"73-51=22",
"22-21=1",
"85*1=85"
] | Current State: 85:[51, 73, 21, 85], Operations: []
Exploring Operation: 73-51=22, Resulting Numbers: [21, 85, 22]
Generated Node #2: [21, 85, 22] from Operation: 73-51=22
Current State: 85:[21, 85, 22], Operations: ['73-51=22']
Exploring Operation: 22-21=1, Resulting Numbers: [85, 1]
Generated Node #3: [85, 1] from Operation: 22-21=1
Current State: 85:[85, 1], Operations: ['73-51=22', '22-21=1']
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
4,
87,
66,
74
] | 57 | [
"87-4=83",
"66+74=140",
"140-83=57"
] | Current State: 57:[4, 87, 66, 74], Operations: []
Exploring Operation: 87-4=83, Resulting Numbers: [66, 74, 83]
Generated Node #2: [66, 74, 83] from Operation: 87-4=83
Current State: 57:[66, 74, 83], Operations: ['87-4=83']
Exploring Operation: 66+74=140, Resulting Numbers: [83, 140]
Generated Node #3: [83, 140] from Operation: 66+74=140
Current State: 57:[83, 140], Operations: ['87-4=83', '66+74=140']
Exploring Operation: 140-83=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
76,
10,
84,
6
] | 85 | [
"84+6=90",
"90/10=9",
"76+9=85"
] | Current State: 85:[76, 10, 84, 6], Operations: []
Exploring Operation: 84+6=90, Resulting Numbers: [76, 10, 90]
Generated Node #2: [76, 10, 90] from Operation: 84+6=90
Current State: 85:[76, 10, 90], Operations: ['84+6=90']
Exploring Operation: 90/10=9, Resulting Numbers: [76, 9]
Generated Node #3: [76, 9] from Operation: 90/10=9
Current State: 85:[76, 9], Operations: ['84+6=90', '90/10=9']
Exploring Operation: 76+9=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
13,
66,
70,
11
] | 74 | [
"13-11=2",
"70*2=140",
"140-66=74"
] | Current State: 74:[13, 66, 70, 11], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [66, 70, 2]
Generated Node #2: [66, 70, 2] from Operation: 13-11=2
Current State: 74:[66, 70, 2], Operations: ['13-11=2']
Exploring Operation: 70*2=140, Resulting Numbers: [66, 140]
Generated Node #3: [66, 140] from Operation: 70*2=140
Current State: 74:[66, 140], Operations: ['13-11=2', '70*2=140']
Exploring Operation: 140-66=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
89,
15,
83,
8
] | 29 | [
"89+15=104",
"83-8=75",
"104-75=29"
] | Current State: 29:[89, 15, 83, 8], Operations: []
Exploring Operation: 89+15=104, Resulting Numbers: [83, 8, 104]
Generated Node #2: [83, 8, 104] from Operation: 89+15=104
Current State: 29:[83, 8, 104], Operations: ['89+15=104']
Exploring Operation: 83-8=75, Resulting Numbers: [104, 75]
Generated Node #3: [104, 75] from Operation: 83-8=75
Current State: 29:[104, 75], Operations: ['89+15=104', '83-8=75']
Exploring Operation: 104-75=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
20,
96,
78,
68
] | 80 | [
"68-20=48",
"96/48=2",
"78+2=80"
] | Current State: 80:[20, 96, 78, 68], Operations: []
Exploring Operation: 68-20=48, Resulting Numbers: [96, 78, 48]
Generated Node #2: [96, 78, 48] from Operation: 68-20=48
Current State: 80:[96, 78, 48], Operations: ['68-20=48']
Exploring Operation: 96/48=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 96/48=2
Current State: 80:[78, 2], Operations: ['68-20=48', '96/48=2']
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
77,
29,
20,
10
] | 96 | [
"77+29=106",
"20-10=10",
"106-10=96"
] | Current State: 96:[77, 29, 20, 10], Operations: []
Exploring Operation: 77+29=106, Resulting Numbers: [20, 10, 106]
Generated Node #2: [20, 10, 106] from Operation: 77+29=106
Current State: 96:[20, 10, 106], Operations: ['77+29=106']
Exploring Operation: 20-10=10, Resulting Numbers: [106, 10]
Generated Node #3: [106, 10] from Operation: 20-10=10
Current State: 96:[106, 10], Operations: ['77+29=106', '20-10=10']
Exploring Operation: 106-10=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
72,
85,
57,
82
] | 81 | [
"85-82=3",
"72/3=24",
"57+24=81"
] | Current State: 81:[72, 85, 57, 82], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [72, 57, 3]
Generated Node #2: [72, 57, 3] from Operation: 85-82=3
Current State: 81:[72, 57, 3], Operations: ['85-82=3']
Exploring Operation: 72/3=24, Resulting Numbers: [57, 24]
Generated Node #3: [57, 24] from Operation: 72/3=24
Current State: 81:[57, 24], Operations: ['85-82=3', '72/3=24']
Exploring Operation: 57+24=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
97,
37,
19,
58
] | 35 | [
"97+19=116",
"116/58=2",
"37-2=35"
] | Current State: 35:[97, 37, 19, 58], Operations: []
Exploring Operation: 97+19=116, Resulting Numbers: [37, 58, 116]
Generated Node #2: [37, 58, 116] from Operation: 97+19=116
Current State: 35:[37, 58, 116], Operations: ['97+19=116']
Exploring Operation: 116/58=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 116/58=2
Current State: 35:[37, 2], Operations: ['97+19=116', '116/58=2']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
63,
79,
49,
84
] | 85 | [
"63-49=14",
"84/14=6",
"79+6=85"
] | Current State: 85:[63, 79, 49, 84], Operations: []
Exploring Operation: 63-49=14, Resulting Numbers: [79, 84, 14]
Generated Node #2: [79, 84, 14] from Operation: 63-49=14
Current State: 85:[79, 84, 14], Operations: ['63-49=14']
Exploring Operation: 84/14=6, Resulting Numbers: [79, 6]
Generated Node #3: [79, 6] from Operation: 84/14=6
Current State: 85:[79, 6], Operations: ['63-49=14', '84/14=6']
Exploring Operation: 79+6=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
13,
93,
47,
26
] | 13 | [
"13*93=1209",
"47*26=1222",
"1222-1209=13"
] | Current State: 13:[13, 93, 47, 26], Operations: []
Exploring Operation: 13*93=1209, Resulting Numbers: [47, 26, 1209]
Generated Node #2: [47, 26, 1209] from Operation: 13*93=1209
Current State: 13:[47, 26, 1209], Operations: ['13*93=1209']
Exploring Operation: 47*26=1222, Resulting Numbers: [1209, 1222]
Generated Node #3: [1209, 1222] from Operation: 47*26=1222
Current State: 13:[1209, 1222], Operations: ['13*93=1209', '47*26=1222']
Exploring Operation: 1222-1209=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
98,
67,
69,
76
] | 81 | [
"76-69=7",
"98/7=14",
"67+14=81"
] | Current State: 81:[98, 67, 69, 76], Operations: []
Exploring Operation: 76-69=7, Resulting Numbers: [98, 67, 7]
Generated Node #2: [98, 67, 7] from Operation: 76-69=7
Current State: 81:[98, 67, 7], Operations: ['76-69=7']
Exploring Operation: 98/7=14, Resulting Numbers: [67, 14]
Generated Node #3: [67, 14] from Operation: 98/7=14
Current State: 81:[67, 14], Operations: ['76-69=7', '98/7=14']
Exploring Operation: 67+14=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
68,
24,
92,
15
] | 15 | [
"68+24=92",
"92+15=107",
"107-92=15"
] | Current State: 15:[68, 24, 92, 15], Operations: []
Exploring Operation: 68+24=92, Resulting Numbers: [92, 15, 92]
Generated Node #2: [92, 15, 92] from Operation: 68+24=92
Current State: 15:[92, 15, 92], Operations: ['68+24=92']
Exploring Operation: 92+15=107, Resulting Numbers: [107]
107,15 equal: Goal Reached
Exploring Operation: 107-92=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
47,
23,
51,
8
] | 67 | [
"47-23=24",
"51-8=43",
"24+43=67"
] | Current State: 67:[47, 23, 51, 8], Operations: []
Exploring Operation: 47-23=24, Resulting Numbers: [51, 8, 24]
Generated Node #2: [51, 8, 24] from Operation: 47-23=24
Current State: 67:[51, 8, 24], Operations: ['47-23=24']
Exploring Operation: 51-8=43, Resulting Numbers: [24, 43]
Generated Node #3: [24, 43] from Operation: 51-8=43
Current State: 67:[24, 43], Operations: ['47-23=24', '51-8=43']
Exploring Operation: 24+43=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
26,
56,
29,
7
] | 47 | [
"26+29=55",
"56/7=8",
"55-8=47"
] | Current State: 47:[26, 56, 29, 7], Operations: []
Exploring Operation: 26+29=55, Resulting Numbers: [56, 7, 55]
Generated Node #2: [56, 7, 55] from Operation: 26+29=55
Current State: 47:[56, 7, 55], Operations: ['26+29=55']
Exploring Operation: 56/7=8, Resulting Numbers: [55, 8]
Generated Node #3: [55, 8] from Operation: 56/7=8
Current State: 47:[55, 8], Operations: ['26+29=55', '56/7=8']
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
61,
26,
36,
14
] | 90 | [
"61-26=35",
"36*35=1260",
"1260/14=90"
] | Current State: 90:[61, 26, 36, 14], Operations: []
Exploring Operation: 61-26=35, Resulting Numbers: [36, 14, 35]
Generated Node #2: [36, 14, 35] from Operation: 61-26=35
Current State: 90:[36, 14, 35], Operations: ['61-26=35']
Exploring Operation: 36*35=1260, Resulting Numbers: [14, 1260]
Generated Node #3: [14, 1260] from Operation: 36*35=1260
Current State: 90:[14, 1260], Operations: ['61-26=35', '36*35=1260']
Exploring Operation: 1260/14=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
68,
7,
28,
34
] | 23 | [
"68/34=2",
"28-7=21",
"2+21=23"
] | Current State: 23:[68, 7, 28, 34], Operations: []
Exploring Operation: 68/34=2, Resulting Numbers: [7, 28, 2]
Generated Node #2: [7, 28, 2] from Operation: 68/34=2
Current State: 23:[7, 28, 2], Operations: ['68/34=2']
Exploring Operation: 28-7=21, Resulting Numbers: [2, 21]
Generated Node #3: [2, 21] from Operation: 28-7=21
Current State: 23:[2, 21], Operations: ['68/34=2', '28-7=21']
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
44,
94,
13,
75
] | 31 | [
"94+75=169",
"169/13=13",
"44-13=31"
] | Current State: 31:[44, 94, 13, 75], Operations: []
Exploring Operation: 94+75=169, Resulting Numbers: [44, 13, 169]
Generated Node #2: [44, 13, 169] from Operation: 94+75=169
Current State: 31:[44, 13, 169], Operations: ['94+75=169']
Exploring Operation: 169/13=13, Resulting Numbers: [44, 13]
Generated Node #3: [44, 13] from Operation: 169/13=13
Current State: 31:[44, 13], Operations: ['94+75=169', '169/13=13']
Exploring Operation: 44-13=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
13,
10,
49,
53
] | 19 | [
"13+10=23",
"53-49=4",
"23-4=19"
] | Current State: 19:[13, 10, 49, 53], Operations: []
Exploring Operation: 13+10=23, Resulting Numbers: [49, 53, 23]
Generated Node #2: [49, 53, 23] from Operation: 13+10=23
Current State: 19:[49, 53, 23], Operations: ['13+10=23']
Exploring Operation: 53-49=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 53-49=4
Current State: 19:[23, 4], Operations: ['13+10=23', '53-49=4']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
82,
70,
80,
74
] | 18 | [
"82-70=12",
"80-74=6",
"12+6=18"
] | Current State: 18:[82, 70, 80, 74], Operations: []
Exploring Operation: 82-70=12, Resulting Numbers: [80, 74, 12]
Generated Node #2: [80, 74, 12] from Operation: 82-70=12
Current State: 18:[80, 74, 12], Operations: ['82-70=12']
Exploring Operation: 80-74=6, Resulting Numbers: [12, 6]
Generated Node #3: [12, 6] from Operation: 80-74=6
Current State: 18:[12, 6], Operations: ['82-70=12', '80-74=6']
Exploring Operation: 12+6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
5,
64,
45,
27
] | 61 | [
"45/5=9",
"27/9=3",
"64-3=61"
] | Current State: 61:[5, 64, 45, 27], Operations: []
Exploring Operation: 45/5=9, Resulting Numbers: [64, 27, 9]
Generated Node #2: [64, 27, 9] from Operation: 45/5=9
Current State: 61:[64, 27, 9], Operations: ['45/5=9']
Exploring Operation: 27/9=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 27/9=3
Current State: 61:[64, 3], Operations: ['45/5=9', '27/9=3']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
5,
21,
18,
5
] | 10 | [
"21-5=16",
"18-16=2",
"5*2=10"
] | Current State: 10:[5, 21, 18, 5], Operations: []
Exploring Operation: 21-5=16, Resulting Numbers: [18, 16]
Generated Node #2: [18, 16] from Operation: 21-5=16
Current State: 10:[18, 16], Operations: ['21-5=16']
Exploring Operation: 18-16=2, Resulting Numbers: [2]
2,10 equal: Goal Reached
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
50,
61,
90,
40
] | 74 | [
"50*61=3050",
"3050-90=2960",
"2960/40=74"
] | Current State: 74:[50, 61, 90, 40], Operations: []
Exploring Operation: 50*61=3050, Resulting Numbers: [90, 40, 3050]
Generated Node #2: [90, 40, 3050] from Operation: 50*61=3050
Current State: 74:[90, 40, 3050], Operations: ['50*61=3050']
Exploring Operation: 3050-90=2960, Resulting Numbers: [40, 2960]
Generated Node #3: [40, 2960] from Operation: 3050-90=2960
Current State: 74:[40, 2960], Operations: ['50*61=3050', '3050-90=2960']
Exploring Operation: 2960/40=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
19,
61,
72,
52
] | 59 | [
"61+72=133",
"133/19=7",
"52+7=59"
] | Current State: 59:[19, 61, 72, 52], Operations: []
Exploring Operation: 61+72=133, Resulting Numbers: [19, 52, 133]
Generated Node #2: [19, 52, 133] from Operation: 61+72=133
Current State: 59:[19, 52, 133], Operations: ['61+72=133']
Exploring Operation: 133/19=7, Resulting Numbers: [52, 7]
Generated Node #3: [52, 7] from Operation: 133/19=7
Current State: 59:[52, 7], Operations: ['61+72=133', '133/19=7']
Exploring Operation: 52+7=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
68,
53,
75,
66
] | 61 | [
"68-53=15",
"75/15=5",
"66-5=61"
] | Current State: 61:[68, 53, 75, 66], Operations: []
Exploring Operation: 68-53=15, Resulting Numbers: [75, 66, 15]
Generated Node #2: [75, 66, 15] from Operation: 68-53=15
Current State: 61:[75, 66, 15], Operations: ['68-53=15']
Exploring Operation: 75/15=5, Resulting Numbers: [66, 5]
Generated Node #3: [66, 5] from Operation: 75/15=5
Current State: 61:[66, 5], Operations: ['68-53=15', '75/15=5']
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
69,
38,
93,
67
] | 57 | [
"69-38=31",
"93-67=26",
"31+26=57"
] | Current State: 57:[69, 38, 93, 67], Operations: []
Exploring Operation: 69-38=31, Resulting Numbers: [93, 67, 31]
Generated Node #2: [93, 67, 31] from Operation: 69-38=31
Current State: 57:[93, 67, 31], Operations: ['69-38=31']
Exploring Operation: 93-67=26, Resulting Numbers: [31, 26]
Generated Node #3: [31, 26] from Operation: 93-67=26
Current State: 57:[31, 26], Operations: ['69-38=31', '93-67=26']
Exploring Operation: 31+26=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
78,
9,
15,
36
] | 59 | [
"78-15=63",
"36/9=4",
"63-4=59"
] | Current State: 59:[78, 9, 15, 36], Operations: []
Exploring Operation: 78-15=63, Resulting Numbers: [9, 36, 63]
Generated Node #2: [9, 36, 63] from Operation: 78-15=63
Current State: 59:[9, 36, 63], Operations: ['78-15=63']
Exploring Operation: 36/9=4, Resulting Numbers: [63, 4]
Generated Node #3: [63, 4] from Operation: 36/9=4
Current State: 59:[63, 4], Operations: ['78-15=63', '36/9=4']
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
58,
47,
6,
27
] | 93 | [
"58-47=11",
"6*11=66",
"27+66=93"
] | Current State: 93:[58, 47, 6, 27], Operations: []
Exploring Operation: 58-47=11, Resulting Numbers: [6, 27, 11]
Generated Node #2: [6, 27, 11] from Operation: 58-47=11
Current State: 93:[6, 27, 11], Operations: ['58-47=11']
Exploring Operation: 6*11=66, Resulting Numbers: [27, 66]
Generated Node #3: [27, 66] from Operation: 6*11=66
Current State: 93:[27, 66], Operations: ['58-47=11', '6*11=66']
Exploring Operation: 27+66=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
50,
63,
2,
25
] | 44 | [
"50+63=113",
"113-25=88",
"88/2=44"
] | Current State: 44:[50, 63, 2, 25], Operations: []
Exploring Operation: 50+63=113, Resulting Numbers: [2, 25, 113]
Generated Node #2: [2, 25, 113] from Operation: 50+63=113
Current State: 44:[2, 25, 113], Operations: ['50+63=113']
Exploring Operation: 113-25=88, Resulting Numbers: [2, 88]
Generated Node #3: [2, 88] from Operation: 113-25=88
Current State: 44:[2, 88], Operations: ['50+63=113', '113-25=88']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
33,
26,
34,
28
] | 13 | [
"33-26=7",
"34-28=6",
"7+6=13"
] | Current State: 13:[33, 26, 34, 28], Operations: []
Exploring Operation: 33-26=7, Resulting Numbers: [34, 28, 7]
Generated Node #2: [34, 28, 7] from Operation: 33-26=7
Current State: 13:[34, 28, 7], Operations: ['33-26=7']
Exploring Operation: 34-28=6, Resulting Numbers: [7, 6]
Generated Node #3: [7, 6] from Operation: 34-28=6
Current State: 13:[7, 6], Operations: ['33-26=7', '34-28=6']
Exploring Operation: 7+6=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
50,
68,
34,
36
] | 86 | [
"36-34=2",
"68*2=136",
"136-50=86"
] | Current State: 86:[50, 68, 34, 36], Operations: []
Exploring Operation: 36-34=2, Resulting Numbers: [50, 68, 2]
Generated Node #2: [50, 68, 2] from Operation: 36-34=2
Current State: 86:[50, 68, 2], Operations: ['36-34=2']
Exploring Operation: 68*2=136, Resulting Numbers: [50, 136]
Generated Node #3: [50, 136] from Operation: 68*2=136
Current State: 86:[50, 136], Operations: ['36-34=2', '68*2=136']
Exploring Operation: 136-50=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
55,
46,
11,
78
] | 12 | [
"55+46=101",
"11+78=89",
"101-89=12"
] | Current State: 12:[55, 46, 11, 78], Operations: []
Exploring Operation: 55+46=101, Resulting Numbers: [11, 78, 101]
Generated Node #2: [11, 78, 101] from Operation: 55+46=101
Current State: 12:[11, 78, 101], Operations: ['55+46=101']
Exploring Operation: 11+78=89, Resulting Numbers: [101, 89]
Generated Node #3: [101, 89] from Operation: 11+78=89
Current State: 12:[101, 89], Operations: ['55+46=101', '11+78=89']
Exploring Operation: 101-89=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
36,
51,
2,
78
] | 24 | [
"51-36=15",
"78/2=39",
"39-15=24"
] | Current State: 24:[36, 51, 2, 78], Operations: []
Exploring Operation: 51-36=15, Resulting Numbers: [2, 78, 15]
Generated Node #2: [2, 78, 15] from Operation: 51-36=15
Current State: 24:[2, 78, 15], Operations: ['51-36=15']
Exploring Operation: 78/2=39, Resulting Numbers: [15, 39]
Generated Node #3: [15, 39] from Operation: 78/2=39
Current State: 24:[15, 39], Operations: ['51-36=15', '78/2=39']
Exploring Operation: 39-15=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
51,
65,
41,
14
] | 91 | [
"51-41=10",
"65*14=910",
"910/10=91"
] | Current State: 91:[51, 65, 41, 14], Operations: []
Exploring Operation: 51-41=10, Resulting Numbers: [65, 14, 10]
Generated Node #2: [65, 14, 10] from Operation: 51-41=10
Current State: 91:[65, 14, 10], Operations: ['51-41=10']
Exploring Operation: 65*14=910, Resulting Numbers: [10, 910]
Generated Node #3: [10, 910] from Operation: 65*14=910
Current State: 91:[10, 910], Operations: ['51-41=10', '65*14=910']
Exploring Operation: 910/10=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
34,
35,
80,
2
] | 83 | [
"35-34=1",
"80+2=82",
"1+82=83"
] | Current State: 83:[34, 35, 80, 2], Operations: []
Exploring Operation: 35-34=1, Resulting Numbers: [80, 2, 1]
Generated Node #2: [80, 2, 1] from Operation: 35-34=1
Current State: 83:[80, 2, 1], Operations: ['35-34=1']
Exploring Operation: 80+2=82, Resulting Numbers: [1, 82]
Generated Node #3: [1, 82] from Operation: 80+2=82
Current State: 83:[1, 82], Operations: ['35-34=1', '80+2=82']
Exploring Operation: 1+82=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
26,
96,
49,
34
] | 44 | [
"96+34=130",
"130/26=5",
"49-5=44"
] | Current State: 44:[26, 96, 49, 34], Operations: []
Exploring Operation: 96+34=130, Resulting Numbers: [26, 49, 130]
Generated Node #2: [26, 49, 130] from Operation: 96+34=130
Current State: 44:[26, 49, 130], Operations: ['96+34=130']
Exploring Operation: 130/26=5, Resulting Numbers: [49, 5]
Generated Node #3: [49, 5] from Operation: 130/26=5
Current State: 44:[49, 5], Operations: ['96+34=130', '130/26=5']
Exploring Operation: 49-5=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
63,
54,
9,
50
] | 99 | [
"54-50=4",
"9*4=36",
"63+36=99"
] | Current State: 99:[63, 54, 9, 50], Operations: []
Exploring Operation: 54-50=4, Resulting Numbers: [63, 9, 4]
Generated Node #2: [63, 9, 4] from Operation: 54-50=4
Current State: 99:[63, 9, 4], Operations: ['54-50=4']
Exploring Operation: 9*4=36, Resulting Numbers: [63, 36]
Generated Node #3: [63, 36] from Operation: 9*4=36
Current State: 99:[63, 36], Operations: ['54-50=4', '9*4=36']
Exploring Operation: 63+36=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
42,
73,
34,
2
] | 96 | [
"73-42=31",
"2*31=62",
"34+62=96"
] | Current State: 96:[42, 73, 34, 2], Operations: []
Exploring Operation: 73-42=31, Resulting Numbers: [34, 2, 31]
Generated Node #2: [34, 2, 31] from Operation: 73-42=31
Current State: 96:[34, 2, 31], Operations: ['73-42=31']
Exploring Operation: 2*31=62, Resulting Numbers: [34, 62]
Generated Node #3: [34, 62] from Operation: 2*31=62
Current State: 96:[34, 62], Operations: ['73-42=31', '2*31=62']
Exploring Operation: 34+62=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
1,
7,
22,
17
] | 14 | [
"22-1=21",
"21/7=3",
"17-3=14"
] | Current State: 14:[1, 7, 22, 17], Operations: []
Exploring Operation: 22-1=21, Resulting Numbers: [7, 17, 21]
Generated Node #2: [7, 17, 21] from Operation: 22-1=21
Current State: 14:[7, 17, 21], Operations: ['22-1=21']
Exploring Operation: 21/7=3, Resulting Numbers: [17, 3]
Generated Node #3: [17, 3] from Operation: 21/7=3
Current State: 14:[17, 3], Operations: ['22-1=21', '21/7=3']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
3,
45,
48,
9
] | 60 | [
"45-9=36",
"3*36=108",
"108-48=60"
] | Current State: 60:[3, 45, 48, 9], Operations: []
Exploring Operation: 45-9=36, Resulting Numbers: [3, 48, 36]
Generated Node #2: [3, 48, 36] from Operation: 45-9=36
Current State: 60:[3, 48, 36], Operations: ['45-9=36']
Exploring Operation: 3*36=108, Resulting Numbers: [48, 108]
Generated Node #3: [48, 108] from Operation: 3*36=108
Current State: 60:[48, 108], Operations: ['45-9=36', '3*36=108']
Exploring Operation: 108-48=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
1,
7,
61,
31
] | 84 | [
"1+7=8",
"61+31=92",
"92-8=84"
] | Current State: 84:[1, 7, 61, 31], Operations: []
Exploring Operation: 1+7=8, Resulting Numbers: [61, 31, 8]
Generated Node #2: [61, 31, 8] from Operation: 1+7=8
Current State: 84:[61, 31, 8], Operations: ['1+7=8']
Exploring Operation: 61+31=92, Resulting Numbers: [8, 92]
Generated Node #3: [8, 92] from Operation: 61+31=92
Current State: 84:[8, 92], Operations: ['1+7=8', '61+31=92']
Exploring Operation: 92-8=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
82,
16,
7,
28
] | 42 | [
"82+16=98",
"98/7=14",
"28+14=42"
] | Current State: 42:[82, 16, 7, 28], Operations: []
Exploring Operation: 82+16=98, Resulting Numbers: [7, 28, 98]
Generated Node #2: [7, 28, 98] from Operation: 82+16=98
Current State: 42:[7, 28, 98], Operations: ['82+16=98']
Exploring Operation: 98/7=14, Resulting Numbers: [28, 14]
Generated Node #3: [28, 14] from Operation: 98/7=14
Current State: 42:[28, 14], Operations: ['82+16=98', '98/7=14']
Exploring Operation: 28+14=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
33,
45,
12,
77
] | 88 | [
"77-45=32",
"33*32=1056",
"1056/12=88"
] | Current State: 88:[33, 45, 12, 77], Operations: []
Exploring Operation: 77-45=32, Resulting Numbers: [33, 12, 32]
Generated Node #2: [33, 12, 32] from Operation: 77-45=32
Current State: 88:[33, 12, 32], Operations: ['77-45=32']
Exploring Operation: 33*32=1056, Resulting Numbers: [12, 1056]
Generated Node #3: [12, 1056] from Operation: 33*32=1056
Current State: 88:[12, 1056], Operations: ['77-45=32', '33*32=1056']
Exploring Operation: 1056/12=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
99,
5,
96,
79
] | 14 | [
"96-79=17",
"5*17=85",
"99-85=14"
] | Current State: 14:[99, 5, 96, 79], Operations: []
Exploring Operation: 96-79=17, Resulting Numbers: [99, 5, 17]
Generated Node #2: [99, 5, 17] from Operation: 96-79=17
Current State: 14:[99, 5, 17], Operations: ['96-79=17']
Exploring Operation: 5*17=85, Resulting Numbers: [99, 85]
Generated Node #3: [99, 85] from Operation: 5*17=85
Current State: 14:[99, 85], Operations: ['96-79=17', '5*17=85']
Exploring Operation: 99-85=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
40,
95,
23,
72
] | 40 | [
"40+95=135",
"23+72=95",
"135-95=40"
] | Current State: 40:[40, 95, 23, 72], Operations: []
Exploring Operation: 40+95=135, Resulting Numbers: [23, 72, 135]
Generated Node #2: [23, 72, 135] from Operation: 40+95=135
Current State: 40:[23, 72, 135], Operations: ['40+95=135']
Exploring Operation: 23+72=95, Resulting Numbers: [135, 95]
Generated Node #3: [135, 95] from Operation: 23+72=95
Current State: 40:[135, 95], Operations: ['40+95=135', '23+72=95']
Exploring Operation: 135-95=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
84,
21,
80,
99
] | 76 | [
"84/21=4",
"99-80=19",
"4*19=76"
] | Current State: 76:[84, 21, 80, 99], Operations: []
Exploring Operation: 84/21=4, Resulting Numbers: [80, 99, 4]
Generated Node #2: [80, 99, 4] from Operation: 84/21=4
Current State: 76:[80, 99, 4], Operations: ['84/21=4']
Exploring Operation: 99-80=19, Resulting Numbers: [4, 19]
Generated Node #3: [4, 19] from Operation: 99-80=19
Current State: 76:[4, 19], Operations: ['84/21=4', '99-80=19']
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
3,
12,
17,
58
] | 77 | [
"3*12=36",
"58-17=41",
"36+41=77"
] | Current State: 77:[3, 12, 17, 58], Operations: []
Exploring Operation: 3*12=36, Resulting Numbers: [17, 58, 36]
Generated Node #2: [17, 58, 36] from Operation: 3*12=36
Current State: 77:[17, 58, 36], Operations: ['3*12=36']
Exploring Operation: 58-17=41, Resulting Numbers: [36, 41]
Generated Node #3: [36, 41] from Operation: 58-17=41
Current State: 77:[36, 41], Operations: ['3*12=36', '58-17=41']
Exploring Operation: 36+41=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
52,
17,
9,
18
] | 87 | [
"52*18=936",
"936/9=104",
"104-17=87"
] | Current State: 87:[52, 17, 9, 18], Operations: []
Exploring Operation: 52*18=936, Resulting Numbers: [17, 9, 936]
Generated Node #2: [17, 9, 936] from Operation: 52*18=936
Current State: 87:[17, 9, 936], Operations: ['52*18=936']
Exploring Operation: 936/9=104, Resulting Numbers: [17, 104]
Generated Node #3: [17, 104] from Operation: 936/9=104
Current State: 87:[17, 104], Operations: ['52*18=936', '936/9=104']
Exploring Operation: 104-17=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
53,
39,
46,
92
] | 32 | [
"53-39=14",
"92-46=46",
"46-14=32"
] | Current State: 32:[53, 39, 46, 92], Operations: []
Exploring Operation: 53-39=14, Resulting Numbers: [46, 92, 14]
Generated Node #2: [46, 92, 14] from Operation: 53-39=14
Current State: 32:[46, 92, 14], Operations: ['53-39=14']
Exploring Operation: 92-46=46, Resulting Numbers: [14, 46]
Generated Node #3: [14, 46] from Operation: 92-46=46
Current State: 32:[14, 46], Operations: ['53-39=14', '92-46=46']
Exploring Operation: 46-14=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
67,
95,
97,
97
] | 32 | [
"67+95=162",
"97+97=194",
"194-162=32"
] | Current State: 32:[67, 95, 97, 97], Operations: []
Exploring Operation: 67+95=162, Resulting Numbers: [97, 97, 162]
Generated Node #2: [97, 97, 162] from Operation: 67+95=162
Current State: 32:[97, 97, 162], Operations: ['67+95=162']
Exploring Operation: 97+97=194, Resulting Numbers: [162, 194]
Generated Node #3: [162, 194] from Operation: 97+97=194
Current State: 32:[162, 194], Operations: ['67+95=162', '97+97=194']
Exploring Operation: 194-162=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
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