Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 93, 90, 89, 31 ]
63
[ "93+90=183", "89+31=120", "183-120=63" ]
Current State: 63:[93, 90, 89, 31], Operations: [] Exploring Operation: 93+90=183, Resulting Numbers: [89, 31, 183] Generated Node #2: [89, 31, 183] from Operation: 93+90=183 Current State: 63:[89, 31, 183], Operations: ['93+90=183'] Exploring Operation: 89+31=120, Resulting Numbers: [183, 120] Generated Node #3: [183, 120] from Operation: 89+31=120 Current State: 63:[183, 120], Operations: ['93+90=183', '89+31=120'] Exploring Operation: 183-120=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 3, 94, 94, 95 ]
98
[ "3+94=97", "95-94=1", "97+1=98" ]
Current State: 98:[3, 94, 94, 95], Operations: [] Exploring Operation: 3+94=97, Resulting Numbers: [95, 97] Generated Node #2: [95, 97] from Operation: 3+94=97 Current State: 98:[95, 97], Operations: ['3+94=97'] Exploring Operation: 95-94=1, Resulting Numbers: [97, 1] Generated Node #3: [97, 1] from Operation: 95-94=1 Current State: 98:[97, 1], Operations: ['3+94=97', '95-94=1'] Exploring Operation: 97+1=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 51, 49, 54, 10 ]
49
[ "51-49=2", "10/2=5", "54-5=49" ]
Current State: 49:[51, 49, 54, 10], Operations: [] Exploring Operation: 51-49=2, Resulting Numbers: [54, 10, 2] Generated Node #2: [54, 10, 2] from Operation: 51-49=2 Current State: 49:[54, 10, 2], Operations: ['51-49=2'] Exploring Operation: 10/2=5, Resulting Numbers: [54, 5] Generated Node #3: [54, 5] from Operation: 10/2=5 Current State: 49:[54, 5], Operations: ['51-49=2', '10/2=5'] Exploring Operation: 54-5=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 81, 36, 74, 94 ]
97
[ "81+36=117", "94-74=20", "117-20=97" ]
Current State: 97:[81, 36, 74, 94], Operations: [] Exploring Operation: 81+36=117, Resulting Numbers: [74, 94, 117] Generated Node #2: [74, 94, 117] from Operation: 81+36=117 Current State: 97:[74, 94, 117], Operations: ['81+36=117'] Exploring Operation: 94-74=20, Resulting Numbers: [117, 20] Generated Node #3: [117, 20] from Operation: 94-74=20 Current State: 97:[117, 20], Operations: ['81+36=117', '94-74=20'] Exploring Operation: 117-20=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 46, 43, 27, 38 ]
100
[ "46+43=89", "38-27=11", "89+11=100" ]
Current State: 100:[46, 43, 27, 38], Operations: [] Exploring Operation: 46+43=89, Resulting Numbers: [27, 38, 89] Generated Node #2: [27, 38, 89] from Operation: 46+43=89 Current State: 100:[27, 38, 89], Operations: ['46+43=89'] Exploring Operation: 38-27=11, Resulting Numbers: [89, 11] Generated Node #3: [89, 11] from Operation: 38-27=11 Current State: 100:[89, 11], Operations: ['46+43=89', '38-27=11'] Exploring Operation: 89+11=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 7, 5, 40, 1 ]
81
[ "7-5=2", "40*2=80", "1+80=81" ]
Current State: 81:[7, 5, 40, 1], Operations: [] Exploring Operation: 7-5=2, Resulting Numbers: [40, 1, 2] Generated Node #2: [40, 1, 2] from Operation: 7-5=2 Current State: 81:[40, 1, 2], Operations: ['7-5=2'] Exploring Operation: 40*2=80, Resulting Numbers: [1, 80] Generated Node #3: [1, 80] from Operation: 40*2=80 Current State: 81:[1, 80], Operations: ['7-5=2', '40*2=80'] Exploring Operation: 1+80=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 14, 19, 26, 54 ]
38
[ "54-26=28", "28/14=2", "19*2=38" ]
Current State: 38:[14, 19, 26, 54], Operations: [] Exploring Operation: 54-26=28, Resulting Numbers: [14, 19, 28] Generated Node #2: [14, 19, 28] from Operation: 54-26=28 Current State: 38:[14, 19, 28], Operations: ['54-26=28'] Exploring Operation: 28/14=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 28/14=2 Current State: 38:[19, 2], Operations: ['54-26=28', '28/14=2'] Exploring Operation: 19*2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 17, 15, 51, 47 ]
55
[ "17-15=2", "51*2=102", "102-47=55" ]
Current State: 55:[17, 15, 51, 47], Operations: [] Exploring Operation: 17-15=2, Resulting Numbers: [51, 47, 2] Generated Node #2: [51, 47, 2] from Operation: 17-15=2 Current State: 55:[51, 47, 2], Operations: ['17-15=2'] Exploring Operation: 51*2=102, Resulting Numbers: [47, 102] Generated Node #3: [47, 102] from Operation: 51*2=102 Current State: 55:[47, 102], Operations: ['17-15=2', '51*2=102'] Exploring Operation: 102-47=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 88, 53, 16, 33 ]
92
[ "88+53=141", "16+33=49", "141-49=92" ]
Current State: 92:[88, 53, 16, 33], Operations: [] Exploring Operation: 88+53=141, Resulting Numbers: [16, 33, 141] Generated Node #2: [16, 33, 141] from Operation: 88+53=141 Current State: 92:[16, 33, 141], Operations: ['88+53=141'] Exploring Operation: 16+33=49, Resulting Numbers: [141, 49] Generated Node #3: [141, 49] from Operation: 16+33=49 Current State: 92:[141, 49], Operations: ['88+53=141', '16+33=49'] Exploring Operation: 141-49=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 42, 42, 49, 60 ]
28
[ "49*60=2940", "2940/42=70", "70-42=28" ]
Current State: 28:[42, 42, 49, 60], Operations: [] Exploring Operation: 49*60=2940, Resulting Numbers: [42, 42, 2940] Generated Node #2: [42, 42, 2940] from Operation: 49*60=2940 Current State: 28:[42, 42, 2940], Operations: ['49*60=2940'] Exploring Operation: 2940/42=70, Resulting Numbers: [70] 70,28 equal: Goal Reached Exploring Operation: 70-42=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 99, 62, 77, 62 ]
23
[ "99-77=22", "62/62=1", "22+1=23" ]
Current State: 23:[99, 62, 77, 62], Operations: [] Exploring Operation: 99-77=22, Resulting Numbers: [62, 62, 22] Generated Node #2: [62, 62, 22] from Operation: 99-77=22 Current State: 23:[62, 62, 22], Operations: ['99-77=22'] Exploring Operation: 62/62=1, Resulting Numbers: [22, 1] Generated Node #3: [22, 1] from Operation: 62/62=1 Current State: 23:[22, 1], Operations: ['99-77=22', '62/62=1'] Exploring Operation: 22+1=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 8, 38, 44, 87 ]
40
[ "38+44=82", "87-82=5", "8*5=40" ]
Current State: 40:[8, 38, 44, 87], Operations: [] Exploring Operation: 38+44=82, Resulting Numbers: [8, 87, 82] Generated Node #2: [8, 87, 82] from Operation: 38+44=82 Current State: 40:[8, 87, 82], Operations: ['38+44=82'] Exploring Operation: 87-82=5, Resulting Numbers: [8, 5] Generated Node #3: [8, 5] from Operation: 87-82=5 Current State: 40:[8, 5], Operations: ['38+44=82', '87-82=5'] Exploring Operation: 8*5=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 51, 64, 8, 48 ]
34
[ "51*48=2448", "64+8=72", "2448/72=34" ]
Current State: 34:[51, 64, 8, 48], Operations: [] Exploring Operation: 51*48=2448, Resulting Numbers: [64, 8, 2448] Generated Node #2: [64, 8, 2448] from Operation: 51*48=2448 Current State: 34:[64, 8, 2448], Operations: ['51*48=2448'] Exploring Operation: 64+8=72, Resulting Numbers: [2448, 72] Generated Node #3: [2448, 72] from Operation: 64+8=72 Current State: 34:[2448, 72], Operations: ['51*48=2448', '64+8=72'] Exploring Operation: 2448/72=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 46, 69, 4, 48 ]
66
[ "48-4=44", "69*44=3036", "3036/46=66" ]
Current State: 66:[46, 69, 4, 48], Operations: [] Exploring Operation: 48-4=44, Resulting Numbers: [46, 69, 44] Generated Node #2: [46, 69, 44] from Operation: 48-4=44 Current State: 66:[46, 69, 44], Operations: ['48-4=44'] Exploring Operation: 69*44=3036, Resulting Numbers: [46, 3036] Generated Node #3: [46, 3036] from Operation: 69*44=3036 Current State: 66:[46, 3036], Operations: ['48-4=44', '69*44=3036'] Exploring Operation: 3036/46=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 72, 47, 94, 83 ]
61
[ "72*94=6768", "6768/47=144", "144-83=61" ]
Current State: 61:[72, 47, 94, 83], Operations: [] Exploring Operation: 72*94=6768, Resulting Numbers: [47, 83, 6768] Generated Node #2: [47, 83, 6768] from Operation: 72*94=6768 Current State: 61:[47, 83, 6768], Operations: ['72*94=6768'] Exploring Operation: 6768/47=144, Resulting Numbers: [83, 144] Generated Node #3: [83, 144] from Operation: 6768/47=144 Current State: 61:[83, 144], Operations: ['72*94=6768', '6768/47=144'] Exploring Operation: 144-83=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 80, 69, 95, 85 ]
100
[ "85-69=16", "80/16=5", "95+5=100" ]
Current State: 100:[80, 69, 95, 85], Operations: [] Exploring Operation: 85-69=16, Resulting Numbers: [80, 95, 16] Generated Node #2: [80, 95, 16] from Operation: 85-69=16 Current State: 100:[80, 95, 16], Operations: ['85-69=16'] Exploring Operation: 80/16=5, Resulting Numbers: [95, 5] Generated Node #3: [95, 5] from Operation: 80/16=5 Current State: 100:[95, 5], Operations: ['85-69=16', '80/16=5'] Exploring Operation: 95+5=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 14, 82, 93, 74 ]
80
[ "93-82=11", "14*11=154", "154-74=80" ]
Current State: 80:[14, 82, 93, 74], Operations: [] Exploring Operation: 93-82=11, Resulting Numbers: [14, 74, 11] Generated Node #2: [14, 74, 11] from Operation: 93-82=11 Current State: 80:[14, 74, 11], Operations: ['93-82=11'] Exploring Operation: 14*11=154, Resulting Numbers: [74, 154] Generated Node #3: [74, 154] from Operation: 14*11=154 Current State: 80:[74, 154], Operations: ['93-82=11', '14*11=154'] Exploring Operation: 154-74=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 61, 69, 11, 49 ]
39
[ "69-61=8", "11*8=88", "88-49=39" ]
Current State: 39:[61, 69, 11, 49], Operations: [] Exploring Operation: 69-61=8, Resulting Numbers: [11, 49, 8] Generated Node #2: [11, 49, 8] from Operation: 69-61=8 Current State: 39:[11, 49, 8], Operations: ['69-61=8'] Exploring Operation: 11*8=88, Resulting Numbers: [49, 88] Generated Node #3: [49, 88] from Operation: 11*8=88 Current State: 39:[49, 88], Operations: ['69-61=8', '11*8=88'] Exploring Operation: 88-49=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 7, 23, 94, 22 ]
88
[ "23-7=16", "94-22=72", "16+72=88" ]
Current State: 88:[7, 23, 94, 22], Operations: [] Exploring Operation: 23-7=16, Resulting Numbers: [94, 22, 16] Generated Node #2: [94, 22, 16] from Operation: 23-7=16 Current State: 88:[94, 22, 16], Operations: ['23-7=16'] Exploring Operation: 94-22=72, Resulting Numbers: [16, 72] Generated Node #3: [16, 72] from Operation: 94-22=72 Current State: 88:[16, 72], Operations: ['23-7=16', '94-22=72'] Exploring Operation: 16+72=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 11, 26, 57, 17 ]
30
[ "11+57=68", "68/17=4", "26+4=30" ]
Current State: 30:[11, 26, 57, 17], Operations: [] Exploring Operation: 11+57=68, Resulting Numbers: [26, 17, 68] Generated Node #2: [26, 17, 68] from Operation: 11+57=68 Current State: 30:[26, 17, 68], Operations: ['11+57=68'] Exploring Operation: 68/17=4, Resulting Numbers: [26, 4] Generated Node #3: [26, 4] from Operation: 68/17=4 Current State: 30:[26, 4], Operations: ['11+57=68', '68/17=4'] Exploring Operation: 26+4=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 66, 5, 31, 69 ]
99
[ "66-5=61", "69-31=38", "61+38=99" ]
Current State: 99:[66, 5, 31, 69], Operations: [] Exploring Operation: 66-5=61, Resulting Numbers: [31, 69, 61] Generated Node #2: [31, 69, 61] from Operation: 66-5=61 Current State: 99:[31, 69, 61], Operations: ['66-5=61'] Exploring Operation: 69-31=38, Resulting Numbers: [61, 38] Generated Node #3: [61, 38] from Operation: 69-31=38 Current State: 99:[61, 38], Operations: ['66-5=61', '69-31=38'] Exploring Operation: 61+38=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 84, 44, 5, 66 ]
74
[ "84-44=40", "40/5=8", "66+8=74" ]
Current State: 74:[84, 44, 5, 66], Operations: [] Exploring Operation: 84-44=40, Resulting Numbers: [5, 66, 40] Generated Node #2: [5, 66, 40] from Operation: 84-44=40 Current State: 74:[5, 66, 40], Operations: ['84-44=40'] Exploring Operation: 40/5=8, Resulting Numbers: [66, 8] Generated Node #3: [66, 8] from Operation: 40/5=8 Current State: 74:[66, 8], Operations: ['84-44=40', '40/5=8'] Exploring Operation: 66+8=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 66, 44, 62, 46 ]
58
[ "46-44=2", "62*2=124", "124-66=58" ]
Current State: 58:[66, 44, 62, 46], Operations: [] Exploring Operation: 46-44=2, Resulting Numbers: [66, 62, 2] Generated Node #2: [66, 62, 2] from Operation: 46-44=2 Current State: 58:[66, 62, 2], Operations: ['46-44=2'] Exploring Operation: 62*2=124, Resulting Numbers: [66, 124] Generated Node #3: [66, 124] from Operation: 62*2=124 Current State: 58:[66, 124], Operations: ['46-44=2', '62*2=124'] Exploring Operation: 124-66=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 67, 66, 55, 36 ]
91
[ "67-66=1", "55+36=91", "1*91=91" ]
Current State: 91:[67, 66, 55, 36], Operations: [] Exploring Operation: 67-66=1, Resulting Numbers: [55, 36, 1] Generated Node #2: [55, 36, 1] from Operation: 67-66=1 Current State: 91:[55, 36, 1], Operations: ['67-66=1'] Exploring Operation: 55+36=91, Resulting Numbers: [1, 91] Generated Node #3: [1, 91] from Operation: 55+36=91 Current State: 91:[1, 91], Operations: ['67-66=1', '55+36=91'] Exploring Operation: 1*91=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 70, 68, 82, 48 ]
89
[ "70-68=2", "82/2=41", "48+41=89" ]
Current State: 89:[70, 68, 82, 48], Operations: [] Exploring Operation: 70-68=2, Resulting Numbers: [82, 48, 2] Generated Node #2: [82, 48, 2] from Operation: 70-68=2 Current State: 89:[82, 48, 2], Operations: ['70-68=2'] Exploring Operation: 82/2=41, Resulting Numbers: [48, 41] Generated Node #3: [48, 41] from Operation: 82/2=41 Current State: 89:[48, 41], Operations: ['70-68=2', '82/2=41'] Exploring Operation: 48+41=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 8, 43, 95, 43 ]
86
[ "95-8=87", "43/43=1", "87-1=86" ]
Current State: 86:[8, 43, 95, 43], Operations: [] Exploring Operation: 95-8=87, Resulting Numbers: [43, 43, 87] Generated Node #2: [43, 43, 87] from Operation: 95-8=87 Current State: 86:[43, 43, 87], Operations: ['95-8=87'] Exploring Operation: 43/43=1, Resulting Numbers: [87, 1] Generated Node #3: [87, 1] from Operation: 43/43=1 Current State: 86:[87, 1], Operations: ['95-8=87', '43/43=1'] Exploring Operation: 87-1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 13, 41, 62, 14 ]
48
[ "41-13=28", "62+14=76", "76-28=48" ]
Current State: 48:[13, 41, 62, 14], Operations: [] Exploring Operation: 41-13=28, Resulting Numbers: [62, 14, 28] Generated Node #2: [62, 14, 28] from Operation: 41-13=28 Current State: 48:[62, 14, 28], Operations: ['41-13=28'] Exploring Operation: 62+14=76, Resulting Numbers: [28, 76] Generated Node #3: [28, 76] from Operation: 62+14=76 Current State: 48:[28, 76], Operations: ['41-13=28', '62+14=76'] Exploring Operation: 76-28=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 86, 74, 15, 88 ]
87
[ "86+74=160", "88-15=73", "160-73=87" ]
Current State: 87:[86, 74, 15, 88], Operations: [] Exploring Operation: 86+74=160, Resulting Numbers: [15, 88, 160] Generated Node #2: [15, 88, 160] from Operation: 86+74=160 Current State: 87:[15, 88, 160], Operations: ['86+74=160'] Exploring Operation: 88-15=73, Resulting Numbers: [160, 73] Generated Node #3: [160, 73] from Operation: 88-15=73 Current State: 87:[160, 73], Operations: ['86+74=160', '88-15=73'] Exploring Operation: 160-73=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 78, 8, 76, 78 ]
94
[ "78-76=2", "8*2=16", "78+16=94" ]
Current State: 94:[78, 8, 76, 78], Operations: [] Exploring Operation: 78-76=2, Resulting Numbers: [8, 2] Generated Node #2: [8, 2] from Operation: 78-76=2 Current State: 94:[8, 2], Operations: ['78-76=2'] Exploring Operation: 8*2=16, Resulting Numbers: [16] 16,94 equal: Goal Reached Exploring Operation: 78+16=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 40, 1, 37, 32 ]
16
[ "40-1=39", "39-37=2", "32/2=16" ]
Current State: 16:[40, 1, 37, 32], Operations: [] Exploring Operation: 40-1=39, Resulting Numbers: [37, 32, 39] Generated Node #2: [37, 32, 39] from Operation: 40-1=39 Current State: 16:[37, 32, 39], Operations: ['40-1=39'] Exploring Operation: 39-37=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 39-37=2 Current State: 16:[32, 2], Operations: ['40-1=39', '39-37=2'] Exploring Operation: 32/2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 31, 58, 83, 81 ]
85
[ "83-81=2", "58*2=116", "116-31=85" ]
Current State: 85:[31, 58, 83, 81], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [31, 58, 2] Generated Node #2: [31, 58, 2] from Operation: 83-81=2 Current State: 85:[31, 58, 2], Operations: ['83-81=2'] Exploring Operation: 58*2=116, Resulting Numbers: [31, 116] Generated Node #3: [31, 116] from Operation: 58*2=116 Current State: 85:[31, 116], Operations: ['83-81=2', '58*2=116'] Exploring Operation: 116-31=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 91, 87, 36, 23 ]
55
[ "91-87=4", "36+23=59", "59-4=55" ]
Current State: 55:[91, 87, 36, 23], Operations: [] Exploring Operation: 91-87=4, Resulting Numbers: [36, 23, 4] Generated Node #2: [36, 23, 4] from Operation: 91-87=4 Current State: 55:[36, 23, 4], Operations: ['91-87=4'] Exploring Operation: 36+23=59, Resulting Numbers: [4, 59] Generated Node #3: [4, 59] from Operation: 36+23=59 Current State: 55:[4, 59], Operations: ['91-87=4', '36+23=59'] Exploring Operation: 59-4=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 77, 14, 28, 88 ]
12
[ "14*88=1232", "1232/77=16", "28-16=12" ]
Current State: 12:[77, 14, 28, 88], Operations: [] Exploring Operation: 14*88=1232, Resulting Numbers: [77, 28, 1232] Generated Node #2: [77, 28, 1232] from Operation: 14*88=1232 Current State: 12:[77, 28, 1232], Operations: ['14*88=1232'] Exploring Operation: 1232/77=16, Resulting Numbers: [28, 16] Generated Node #3: [28, 16] from Operation: 1232/77=16 Current State: 12:[28, 16], Operations: ['14*88=1232', '1232/77=16'] Exploring Operation: 28-16=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 41, 3, 31, 83 ]
53
[ "41-31=10", "3*10=30", "83-30=53" ]
Current State: 53:[41, 3, 31, 83], Operations: [] Exploring Operation: 41-31=10, Resulting Numbers: [3, 83, 10] Generated Node #2: [3, 83, 10] from Operation: 41-31=10 Current State: 53:[3, 83, 10], Operations: ['41-31=10'] Exploring Operation: 3*10=30, Resulting Numbers: [83, 30] Generated Node #3: [83, 30] from Operation: 3*10=30 Current State: 53:[83, 30], Operations: ['41-31=10', '3*10=30'] Exploring Operation: 83-30=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 62, 15, 79, 90 ]
92
[ "62+15=77", "79+90=169", "169-77=92" ]
Current State: 92:[62, 15, 79, 90], Operations: [] Exploring Operation: 62+15=77, Resulting Numbers: [79, 90, 77] Generated Node #2: [79, 90, 77] from Operation: 62+15=77 Current State: 92:[79, 90, 77], Operations: ['62+15=77'] Exploring Operation: 79+90=169, Resulting Numbers: [77, 169] Generated Node #3: [77, 169] from Operation: 79+90=169 Current State: 92:[77, 169], Operations: ['62+15=77', '79+90=169'] Exploring Operation: 169-77=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 68, 5, 57, 54 ]
76
[ "68+5=73", "57-54=3", "73+3=76" ]
Current State: 76:[68, 5, 57, 54], Operations: [] Exploring Operation: 68+5=73, Resulting Numbers: [57, 54, 73] Generated Node #2: [57, 54, 73] from Operation: 68+5=73 Current State: 76:[57, 54, 73], Operations: ['68+5=73'] Exploring Operation: 57-54=3, Resulting Numbers: [73, 3] Generated Node #3: [73, 3] from Operation: 57-54=3 Current State: 76:[73, 3], Operations: ['68+5=73', '57-54=3'] Exploring Operation: 73+3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 98, 52, 61, 35 ]
100
[ "61-35=26", "52/26=2", "98+2=100" ]
Current State: 100:[98, 52, 61, 35], Operations: [] Exploring Operation: 61-35=26, Resulting Numbers: [98, 52, 26] Generated Node #2: [98, 52, 26] from Operation: 61-35=26 Current State: 100:[98, 52, 26], Operations: ['61-35=26'] Exploring Operation: 52/26=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 52/26=2 Current State: 100:[98, 2], Operations: ['61-35=26', '52/26=2'] Exploring Operation: 98+2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 14, 47, 39, 91 ]
70
[ "47+39=86", "91-86=5", "14*5=70" ]
Current State: 70:[14, 47, 39, 91], Operations: [] Exploring Operation: 47+39=86, Resulting Numbers: [14, 91, 86] Generated Node #2: [14, 91, 86] from Operation: 47+39=86 Current State: 70:[14, 91, 86], Operations: ['47+39=86'] Exploring Operation: 91-86=5, Resulting Numbers: [14, 5] Generated Node #3: [14, 5] from Operation: 91-86=5 Current State: 70:[14, 5], Operations: ['47+39=86', '91-86=5'] Exploring Operation: 14*5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 68, 8, 79, 21 ]
40
[ "68-8=60", "79+21=100", "100-60=40" ]
Current State: 40:[68, 8, 79, 21], Operations: [] Exploring Operation: 68-8=60, Resulting Numbers: [79, 21, 60] Generated Node #2: [79, 21, 60] from Operation: 68-8=60 Current State: 40:[79, 21, 60], Operations: ['68-8=60'] Exploring Operation: 79+21=100, Resulting Numbers: [60, 100] Generated Node #3: [60, 100] from Operation: 79+21=100 Current State: 40:[60, 100], Operations: ['68-8=60', '79+21=100'] Exploring Operation: 100-60=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 41, 15, 29, 27 ]
97
[ "29-27=2", "41*2=82", "15+82=97" ]
Current State: 97:[41, 15, 29, 27], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [41, 15, 2] Generated Node #2: [41, 15, 2] from Operation: 29-27=2 Current State: 97:[41, 15, 2], Operations: ['29-27=2'] Exploring Operation: 41*2=82, Resulting Numbers: [15, 82] Generated Node #3: [15, 82] from Operation: 41*2=82 Current State: 97:[15, 82], Operations: ['29-27=2', '41*2=82'] Exploring Operation: 15+82=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 34, 42, 29, 95 ]
61
[ "34-29=5", "95/5=19", "42+19=61" ]
Current State: 61:[34, 42, 29, 95], Operations: [] Exploring Operation: 34-29=5, Resulting Numbers: [42, 95, 5] Generated Node #2: [42, 95, 5] from Operation: 34-29=5 Current State: 61:[42, 95, 5], Operations: ['34-29=5'] Exploring Operation: 95/5=19, Resulting Numbers: [42, 19] Generated Node #3: [42, 19] from Operation: 95/5=19 Current State: 61:[42, 19], Operations: ['34-29=5', '95/5=19'] Exploring Operation: 42+19=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 86, 20, 1, 66 ]
39
[ "86+20=106", "1+66=67", "106-67=39" ]
Current State: 39:[86, 20, 1, 66], Operations: [] Exploring Operation: 86+20=106, Resulting Numbers: [1, 66, 106] Generated Node #2: [1, 66, 106] from Operation: 86+20=106 Current State: 39:[1, 66, 106], Operations: ['86+20=106'] Exploring Operation: 1+66=67, Resulting Numbers: [106, 67] Generated Node #3: [106, 67] from Operation: 1+66=67 Current State: 39:[106, 67], Operations: ['86+20=106', '1+66=67'] Exploring Operation: 106-67=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 92, 61, 4, 77 ]
75
[ "92+77=169", "61*4=244", "244-169=75" ]
Current State: 75:[92, 61, 4, 77], Operations: [] Exploring Operation: 92+77=169, Resulting Numbers: [61, 4, 169] Generated Node #2: [61, 4, 169] from Operation: 92+77=169 Current State: 75:[61, 4, 169], Operations: ['92+77=169'] Exploring Operation: 61*4=244, Resulting Numbers: [169, 244] Generated Node #3: [169, 244] from Operation: 61*4=244 Current State: 75:[169, 244], Operations: ['92+77=169', '61*4=244'] Exploring Operation: 244-169=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 5, 33, 74, 38 ]
73
[ "5+33=38", "38/38=1", "74-1=73" ]
Current State: 73:[5, 33, 74, 38], Operations: [] Exploring Operation: 5+33=38, Resulting Numbers: [74, 38, 38] Generated Node #2: [74, 38, 38] from Operation: 5+33=38 Current State: 73:[74, 38, 38], Operations: ['5+33=38'] Exploring Operation: 38/38=1, Resulting Numbers: [74, 1] Generated Node #3: [74, 1] from Operation: 38/38=1 Current State: 73:[74, 1], Operations: ['5+33=38', '38/38=1'] Exploring Operation: 74-1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 93, 61, 2, 87 ]
23
[ "93-61=32", "2*32=64", "87-64=23" ]
Current State: 23:[93, 61, 2, 87], Operations: [] Exploring Operation: 93-61=32, Resulting Numbers: [2, 87, 32] Generated Node #2: [2, 87, 32] from Operation: 93-61=32 Current State: 23:[2, 87, 32], Operations: ['93-61=32'] Exploring Operation: 2*32=64, Resulting Numbers: [87, 64] Generated Node #3: [87, 64] from Operation: 2*32=64 Current State: 23:[87, 64], Operations: ['93-61=32', '2*32=64'] Exploring Operation: 87-64=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 84, 57, 54, 46 ]
81
[ "84-46=38", "57*54=3078", "3078/38=81" ]
Current State: 81:[84, 57, 54, 46], Operations: [] Exploring Operation: 84-46=38, Resulting Numbers: [57, 54, 38] Generated Node #2: [57, 54, 38] from Operation: 84-46=38 Current State: 81:[57, 54, 38], Operations: ['84-46=38'] Exploring Operation: 57*54=3078, Resulting Numbers: [38, 3078] Generated Node #3: [38, 3078] from Operation: 57*54=3078 Current State: 81:[38, 3078], Operations: ['84-46=38', '57*54=3078'] Exploring Operation: 3078/38=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 12, 24, 24, 69 ]
95
[ "24/12=2", "24+69=93", "2+93=95" ]
Current State: 95:[12, 24, 24, 69], Operations: [] Exploring Operation: 24/12=2, Resulting Numbers: [69, 2] Generated Node #2: [69, 2] from Operation: 24/12=2 Current State: 95:[69, 2], Operations: ['24/12=2'] Exploring Operation: 24+69=93, Resulting Numbers: [2, 93] Generated Node #3: [2, 93] from Operation: 24+69=93 Current State: 95:[2, 93], Operations: ['24/12=2', '24+69=93'] Exploring Operation: 2+93=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 49, 77, 60, 30 ]
14
[ "77-49=28", "60/30=2", "28/2=14" ]
Current State: 14:[49, 77, 60, 30], Operations: [] Exploring Operation: 77-49=28, Resulting Numbers: [60, 30, 28] Generated Node #2: [60, 30, 28] from Operation: 77-49=28 Current State: 14:[60, 30, 28], Operations: ['77-49=28'] Exploring Operation: 60/30=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 60/30=2 Current State: 14:[28, 2], Operations: ['77-49=28', '60/30=2'] Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 27, 72, 4, 22 ]
92
[ "72-27=45", "45-22=23", "4*23=92" ]
Current State: 92:[27, 72, 4, 22], Operations: [] Exploring Operation: 72-27=45, Resulting Numbers: [4, 22, 45] Generated Node #2: [4, 22, 45] from Operation: 72-27=45 Current State: 92:[4, 22, 45], Operations: ['72-27=45'] Exploring Operation: 45-22=23, Resulting Numbers: [4, 23] Generated Node #3: [4, 23] from Operation: 45-22=23 Current State: 92:[4, 23], Operations: ['72-27=45', '45-22=23'] Exploring Operation: 4*23=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 91, 22, 95, 29 ]
94
[ "95-91=4", "29*4=116", "116-22=94" ]
Current State: 94:[91, 22, 95, 29], Operations: [] Exploring Operation: 95-91=4, Resulting Numbers: [22, 29, 4] Generated Node #2: [22, 29, 4] from Operation: 95-91=4 Current State: 94:[22, 29, 4], Operations: ['95-91=4'] Exploring Operation: 29*4=116, Resulting Numbers: [22, 116] Generated Node #3: [22, 116] from Operation: 29*4=116 Current State: 94:[22, 116], Operations: ['95-91=4', '29*4=116'] Exploring Operation: 116-22=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 80, 31, 70, 26 ]
15
[ "80+31=111", "70+26=96", "111-96=15" ]
Current State: 15:[80, 31, 70, 26], Operations: [] Exploring Operation: 80+31=111, Resulting Numbers: [70, 26, 111] Generated Node #2: [70, 26, 111] from Operation: 80+31=111 Current State: 15:[70, 26, 111], Operations: ['80+31=111'] Exploring Operation: 70+26=96, Resulting Numbers: [111, 96] Generated Node #3: [111, 96] from Operation: 70+26=96 Current State: 15:[111, 96], Operations: ['80+31=111', '70+26=96'] Exploring Operation: 111-96=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 90, 25, 32, 14 ]
19
[ "90-25=65", "32+14=46", "65-46=19" ]
Current State: 19:[90, 25, 32, 14], Operations: [] Exploring Operation: 90-25=65, Resulting Numbers: [32, 14, 65] Generated Node #2: [32, 14, 65] from Operation: 90-25=65 Current State: 19:[32, 14, 65], Operations: ['90-25=65'] Exploring Operation: 32+14=46, Resulting Numbers: [65, 46] Generated Node #3: [65, 46] from Operation: 32+14=46 Current State: 19:[65, 46], Operations: ['90-25=65', '32+14=46'] Exploring Operation: 65-46=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 88, 8, 62, 57 ]
39
[ "88-8=80", "62+57=119", "119-80=39" ]
Current State: 39:[88, 8, 62, 57], Operations: [] Exploring Operation: 88-8=80, Resulting Numbers: [62, 57, 80] Generated Node #2: [62, 57, 80] from Operation: 88-8=80 Current State: 39:[62, 57, 80], Operations: ['88-8=80'] Exploring Operation: 62+57=119, Resulting Numbers: [80, 119] Generated Node #3: [80, 119] from Operation: 62+57=119 Current State: 39:[80, 119], Operations: ['88-8=80', '62+57=119'] Exploring Operation: 119-80=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 71, 21, 15, 63 ]
83
[ "71+15=86", "63/21=3", "86-3=83" ]
Current State: 83:[71, 21, 15, 63], Operations: [] Exploring Operation: 71+15=86, Resulting Numbers: [21, 63, 86] Generated Node #2: [21, 63, 86] from Operation: 71+15=86 Current State: 83:[21, 63, 86], Operations: ['71+15=86'] Exploring Operation: 63/21=3, Resulting Numbers: [86, 3] Generated Node #3: [86, 3] from Operation: 63/21=3 Current State: 83:[86, 3], Operations: ['71+15=86', '63/21=3'] Exploring Operation: 86-3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 82, 67, 90, 18 ]
41
[ "82+67=149", "90+18=108", "149-108=41" ]
Current State: 41:[82, 67, 90, 18], Operations: [] Exploring Operation: 82+67=149, Resulting Numbers: [90, 18, 149] Generated Node #2: [90, 18, 149] from Operation: 82+67=149 Current State: 41:[90, 18, 149], Operations: ['82+67=149'] Exploring Operation: 90+18=108, Resulting Numbers: [149, 108] Generated Node #3: [149, 108] from Operation: 90+18=108 Current State: 41:[149, 108], Operations: ['82+67=149', '90+18=108'] Exploring Operation: 149-108=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 21, 18, 36, 66 ]
33
[ "21-18=3", "66-36=30", "3+30=33" ]
Current State: 33:[21, 18, 36, 66], Operations: [] Exploring Operation: 21-18=3, Resulting Numbers: [36, 66, 3] Generated Node #2: [36, 66, 3] from Operation: 21-18=3 Current State: 33:[36, 66, 3], Operations: ['21-18=3'] Exploring Operation: 66-36=30, Resulting Numbers: [3, 30] Generated Node #3: [3, 30] from Operation: 66-36=30 Current State: 33:[3, 30], Operations: ['21-18=3', '66-36=30'] Exploring Operation: 3+30=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 77, 5, 2, 42 ]
20
[ "77+5=82", "82-42=40", "40/2=20" ]
Current State: 20:[77, 5, 2, 42], Operations: [] Exploring Operation: 77+5=82, Resulting Numbers: [2, 42, 82] Generated Node #2: [2, 42, 82] from Operation: 77+5=82 Current State: 20:[2, 42, 82], Operations: ['77+5=82'] Exploring Operation: 82-42=40, Resulting Numbers: [2, 40] Generated Node #3: [2, 40] from Operation: 82-42=40 Current State: 20:[2, 40], Operations: ['77+5=82', '82-42=40'] Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 26, 72, 19, 33 ]
74
[ "19+33=52", "52/26=2", "72+2=74" ]
Current State: 74:[26, 72, 19, 33], Operations: [] Exploring Operation: 19+33=52, Resulting Numbers: [26, 72, 52] Generated Node #2: [26, 72, 52] from Operation: 19+33=52 Current State: 74:[26, 72, 52], Operations: ['19+33=52'] Exploring Operation: 52/26=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 52/26=2 Current State: 74:[72, 2], Operations: ['19+33=52', '52/26=2'] Exploring Operation: 72+2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 61, 4, 63, 58 ]
75
[ "61-58=3", "4*3=12", "63+12=75" ]
Current State: 75:[61, 4, 63, 58], Operations: [] Exploring Operation: 61-58=3, Resulting Numbers: [4, 63, 3] Generated Node #2: [4, 63, 3] from Operation: 61-58=3 Current State: 75:[4, 63, 3], Operations: ['61-58=3'] Exploring Operation: 4*3=12, Resulting Numbers: [63, 12] Generated Node #3: [63, 12] from Operation: 4*3=12 Current State: 75:[63, 12], Operations: ['61-58=3', '4*3=12'] Exploring Operation: 63+12=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 56, 72, 83, 58 ]
94
[ "58-56=2", "83*2=166", "166-72=94" ]
Current State: 94:[56, 72, 83, 58], Operations: [] Exploring Operation: 58-56=2, Resulting Numbers: [72, 83, 2] Generated Node #2: [72, 83, 2] from Operation: 58-56=2 Current State: 94:[72, 83, 2], Operations: ['58-56=2'] Exploring Operation: 83*2=166, Resulting Numbers: [72, 166] Generated Node #3: [72, 166] from Operation: 83*2=166 Current State: 94:[72, 166], Operations: ['58-56=2', '83*2=166'] Exploring Operation: 166-72=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 71, 89, 19, 80 ]
81
[ "89-71=18", "19+80=99", "99-18=81" ]
Current State: 81:[71, 89, 19, 80], Operations: [] Exploring Operation: 89-71=18, Resulting Numbers: [19, 80, 18] Generated Node #2: [19, 80, 18] from Operation: 89-71=18 Current State: 81:[19, 80, 18], Operations: ['89-71=18'] Exploring Operation: 19+80=99, Resulting Numbers: [18, 99] Generated Node #3: [18, 99] from Operation: 19+80=99 Current State: 81:[18, 99], Operations: ['89-71=18', '19+80=99'] Exploring Operation: 99-18=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 46, 49, 3, 52 ]
53
[ "49-46=3", "3/3=1", "52+1=53" ]
Current State: 53:[46, 49, 3, 52], Operations: [] Exploring Operation: 49-46=3, Resulting Numbers: [3, 52, 3] Generated Node #2: [3, 52, 3] from Operation: 49-46=3 Current State: 53:[3, 52, 3], Operations: ['49-46=3'] Exploring Operation: 3/3=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 3/3=1 Current State: 53:[52, 1], Operations: ['49-46=3', '3/3=1'] Exploring Operation: 52+1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 16, 34, 54, 12 ]
60
[ "34-16=18", "54-12=42", "18+42=60" ]
Current State: 60:[16, 34, 54, 12], Operations: [] Exploring Operation: 34-16=18, Resulting Numbers: [54, 12, 18] Generated Node #2: [54, 12, 18] from Operation: 34-16=18 Current State: 60:[54, 12, 18], Operations: ['34-16=18'] Exploring Operation: 54-12=42, Resulting Numbers: [18, 42] Generated Node #3: [18, 42] from Operation: 54-12=42 Current State: 60:[18, 42], Operations: ['34-16=18', '54-12=42'] Exploring Operation: 18+42=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 44, 46, 95, 31 ]
63
[ "46-44=2", "95+31=126", "126/2=63" ]
Current State: 63:[44, 46, 95, 31], Operations: [] Exploring Operation: 46-44=2, Resulting Numbers: [95, 31, 2] Generated Node #2: [95, 31, 2] from Operation: 46-44=2 Current State: 63:[95, 31, 2], Operations: ['46-44=2'] Exploring Operation: 95+31=126, Resulting Numbers: [2, 126] Generated Node #3: [2, 126] from Operation: 95+31=126 Current State: 63:[2, 126], Operations: ['46-44=2', '95+31=126'] Exploring Operation: 126/2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 17, 11, 22, 9 ]
100
[ "22-17=5", "11+9=20", "5*20=100" ]
Current State: 100:[17, 11, 22, 9], Operations: [] Exploring Operation: 22-17=5, Resulting Numbers: [11, 9, 5] Generated Node #2: [11, 9, 5] from Operation: 22-17=5 Current State: 100:[11, 9, 5], Operations: ['22-17=5'] Exploring Operation: 11+9=20, Resulting Numbers: [5, 20] Generated Node #3: [5, 20] from Operation: 11+9=20 Current State: 100:[5, 20], Operations: ['22-17=5', '11+9=20'] Exploring Operation: 5*20=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 3, 89, 14, 69 ]
98
[ "69/3=23", "89-14=75", "23+75=98" ]
Current State: 98:[3, 89, 14, 69], Operations: [] Exploring Operation: 69/3=23, Resulting Numbers: [89, 14, 23] Generated Node #2: [89, 14, 23] from Operation: 69/3=23 Current State: 98:[89, 14, 23], Operations: ['69/3=23'] Exploring Operation: 89-14=75, Resulting Numbers: [23, 75] Generated Node #3: [23, 75] from Operation: 89-14=75 Current State: 98:[23, 75], Operations: ['69/3=23', '89-14=75'] Exploring Operation: 23+75=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 33, 18, 39, 50 ]
74
[ "33-18=15", "39+50=89", "89-15=74" ]
Current State: 74:[33, 18, 39, 50], Operations: [] Exploring Operation: 33-18=15, Resulting Numbers: [39, 50, 15] Generated Node #2: [39, 50, 15] from Operation: 33-18=15 Current State: 74:[39, 50, 15], Operations: ['33-18=15'] Exploring Operation: 39+50=89, Resulting Numbers: [15, 89] Generated Node #3: [15, 89] from Operation: 39+50=89 Current State: 74:[15, 89], Operations: ['33-18=15', '39+50=89'] Exploring Operation: 89-15=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 78, 22, 30, 35 ]
20
[ "78+22=100", "35-30=5", "100/5=20" ]
Current State: 20:[78, 22, 30, 35], Operations: [] Exploring Operation: 78+22=100, Resulting Numbers: [30, 35, 100] Generated Node #2: [30, 35, 100] from Operation: 78+22=100 Current State: 20:[30, 35, 100], Operations: ['78+22=100'] Exploring Operation: 35-30=5, Resulting Numbers: [100, 5] Generated Node #3: [100, 5] from Operation: 35-30=5 Current State: 20:[100, 5], Operations: ['78+22=100', '35-30=5'] Exploring Operation: 100/5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 68, 71, 69, 52 ]
87
[ "71-68=3", "52*3=156", "156-69=87" ]
Current State: 87:[68, 71, 69, 52], Operations: [] Exploring Operation: 71-68=3, Resulting Numbers: [69, 52, 3] Generated Node #2: [69, 52, 3] from Operation: 71-68=3 Current State: 87:[69, 52, 3], Operations: ['71-68=3'] Exploring Operation: 52*3=156, Resulting Numbers: [69, 156] Generated Node #3: [69, 156] from Operation: 52*3=156 Current State: 87:[69, 156], Operations: ['71-68=3', '52*3=156'] Exploring Operation: 156-69=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 38, 6, 68, 14 ]
72
[ "38-14=24", "24/6=4", "68+4=72" ]
Current State: 72:[38, 6, 68, 14], Operations: [] Exploring Operation: 38-14=24, Resulting Numbers: [6, 68, 24] Generated Node #2: [6, 68, 24] from Operation: 38-14=24 Current State: 72:[6, 68, 24], Operations: ['38-14=24'] Exploring Operation: 24/6=4, Resulting Numbers: [68, 4] Generated Node #3: [68, 4] from Operation: 24/6=4 Current State: 72:[68, 4], Operations: ['38-14=24', '24/6=4'] Exploring Operation: 68+4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 9, 54, 75, 42 ]
33
[ "54-42=12", "9*12=108", "108-75=33" ]
Current State: 33:[9, 54, 75, 42], Operations: [] Exploring Operation: 54-42=12, Resulting Numbers: [9, 75, 12] Generated Node #2: [9, 75, 12] from Operation: 54-42=12 Current State: 33:[9, 75, 12], Operations: ['54-42=12'] Exploring Operation: 9*12=108, Resulting Numbers: [75, 108] Generated Node #3: [75, 108] from Operation: 9*12=108 Current State: 33:[75, 108], Operations: ['54-42=12', '9*12=108'] Exploring Operation: 108-75=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 7, 13, 51, 10 ]
61
[ "7+13=20", "51-10=41", "20+41=61" ]
Current State: 61:[7, 13, 51, 10], Operations: [] Exploring Operation: 7+13=20, Resulting Numbers: [51, 10, 20] Generated Node #2: [51, 10, 20] from Operation: 7+13=20 Current State: 61:[51, 10, 20], Operations: ['7+13=20'] Exploring Operation: 51-10=41, Resulting Numbers: [20, 41] Generated Node #3: [20, 41] from Operation: 51-10=41 Current State: 61:[20, 41], Operations: ['7+13=20', '51-10=41'] Exploring Operation: 20+41=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 9, 78, 48, 60 ]
57
[ "78-9=69", "60-48=12", "69-12=57" ]
Current State: 57:[9, 78, 48, 60], Operations: [] Exploring Operation: 78-9=69, Resulting Numbers: [48, 60, 69] Generated Node #2: [48, 60, 69] from Operation: 78-9=69 Current State: 57:[48, 60, 69], Operations: ['78-9=69'] Exploring Operation: 60-48=12, Resulting Numbers: [69, 12] Generated Node #3: [69, 12] from Operation: 60-48=12 Current State: 57:[69, 12], Operations: ['78-9=69', '60-48=12'] Exploring Operation: 69-12=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 21, 95, 11, 4 ]
98
[ "11-4=7", "21/7=3", "95+3=98" ]
Current State: 98:[21, 95, 11, 4], Operations: [] Exploring Operation: 11-4=7, Resulting Numbers: [21, 95, 7] Generated Node #2: [21, 95, 7] from Operation: 11-4=7 Current State: 98:[21, 95, 7], Operations: ['11-4=7'] Exploring Operation: 21/7=3, Resulting Numbers: [95, 3] Generated Node #3: [95, 3] from Operation: 21/7=3 Current State: 98:[95, 3], Operations: ['11-4=7', '21/7=3'] Exploring Operation: 95+3=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 70, 76, 71, 60 ]
58
[ "76-71=5", "60/5=12", "70-12=58" ]
Current State: 58:[70, 76, 71, 60], Operations: [] Exploring Operation: 76-71=5, Resulting Numbers: [70, 60, 5] Generated Node #2: [70, 60, 5] from Operation: 76-71=5 Current State: 58:[70, 60, 5], Operations: ['76-71=5'] Exploring Operation: 60/5=12, Resulting Numbers: [70, 12] Generated Node #3: [70, 12] from Operation: 60/5=12 Current State: 58:[70, 12], Operations: ['76-71=5', '60/5=12'] Exploring Operation: 70-12=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 96, 77, 83, 75 ]
89
[ "83-75=8", "96/8=12", "77+12=89" ]
Current State: 89:[96, 77, 83, 75], Operations: [] Exploring Operation: 83-75=8, Resulting Numbers: [96, 77, 8] Generated Node #2: [96, 77, 8] from Operation: 83-75=8 Current State: 89:[96, 77, 8], Operations: ['83-75=8'] Exploring Operation: 96/8=12, Resulting Numbers: [77, 12] Generated Node #3: [77, 12] from Operation: 96/8=12 Current State: 89:[77, 12], Operations: ['83-75=8', '96/8=12'] Exploring Operation: 77+12=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 4, 28, 90, 31 ]
52
[ "28/4=7", "90-31=59", "59-7=52" ]
Current State: 52:[4, 28, 90, 31], Operations: [] Exploring Operation: 28/4=7, Resulting Numbers: [90, 31, 7] Generated Node #2: [90, 31, 7] from Operation: 28/4=7 Current State: 52:[90, 31, 7], Operations: ['28/4=7'] Exploring Operation: 90-31=59, Resulting Numbers: [7, 59] Generated Node #3: [7, 59] from Operation: 90-31=59 Current State: 52:[7, 59], Operations: ['28/4=7', '90-31=59'] Exploring Operation: 59-7=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 48, 3, 14, 17 ]
45
[ "14+17=31", "3*31=93", "93-48=45" ]
Current State: 45:[48, 3, 14, 17], Operations: [] Exploring Operation: 14+17=31, Resulting Numbers: [48, 3, 31] Generated Node #2: [48, 3, 31] from Operation: 14+17=31 Current State: 45:[48, 3, 31], Operations: ['14+17=31'] Exploring Operation: 3*31=93, Resulting Numbers: [48, 93] Generated Node #3: [48, 93] from Operation: 3*31=93 Current State: 45:[48, 93], Operations: ['14+17=31', '3*31=93'] Exploring Operation: 93-48=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 16, 80, 56, 48 ]
64
[ "80+48=128", "128/16=8", "56+8=64" ]
Current State: 64:[16, 80, 56, 48], Operations: [] Exploring Operation: 80+48=128, Resulting Numbers: [16, 56, 128] Generated Node #2: [16, 56, 128] from Operation: 80+48=128 Current State: 64:[16, 56, 128], Operations: ['80+48=128'] Exploring Operation: 128/16=8, Resulting Numbers: [56, 8] Generated Node #3: [56, 8] from Operation: 128/16=8 Current State: 64:[56, 8], Operations: ['80+48=128', '128/16=8'] Exploring Operation: 56+8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 18, 30, 77, 35 ]
19
[ "18+77=95", "35-30=5", "95/5=19" ]
Current State: 19:[18, 30, 77, 35], Operations: [] Exploring Operation: 18+77=95, Resulting Numbers: [30, 35, 95] Generated Node #2: [30, 35, 95] from Operation: 18+77=95 Current State: 19:[30, 35, 95], Operations: ['18+77=95'] Exploring Operation: 35-30=5, Resulting Numbers: [95, 5] Generated Node #3: [95, 5] from Operation: 35-30=5 Current State: 19:[95, 5], Operations: ['18+77=95', '35-30=5'] Exploring Operation: 95/5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 21, 47, 73, 59 ]
40
[ "47-21=26", "73-59=14", "26+14=40" ]
Current State: 40:[21, 47, 73, 59], Operations: [] Exploring Operation: 47-21=26, Resulting Numbers: [73, 59, 26] Generated Node #2: [73, 59, 26] from Operation: 47-21=26 Current State: 40:[73, 59, 26], Operations: ['47-21=26'] Exploring Operation: 73-59=14, Resulting Numbers: [26, 14] Generated Node #3: [26, 14] from Operation: 73-59=14 Current State: 40:[26, 14], Operations: ['47-21=26', '73-59=14'] Exploring Operation: 26+14=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 84, 49, 73, 15 ]
45
[ "84+49=133", "73+15=88", "133-88=45" ]
Current State: 45:[84, 49, 73, 15], Operations: [] Exploring Operation: 84+49=133, Resulting Numbers: [73, 15, 133] Generated Node #2: [73, 15, 133] from Operation: 84+49=133 Current State: 45:[73, 15, 133], Operations: ['84+49=133'] Exploring Operation: 73+15=88, Resulting Numbers: [133, 88] Generated Node #3: [133, 88] from Operation: 73+15=88 Current State: 45:[133, 88], Operations: ['84+49=133', '73+15=88'] Exploring Operation: 133-88=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 51, 78, 14, 20 ]
64
[ "20-14=6", "78/6=13", "51+13=64" ]
Current State: 64:[51, 78, 14, 20], Operations: [] Exploring Operation: 20-14=6, Resulting Numbers: [51, 78, 6] Generated Node #2: [51, 78, 6] from Operation: 20-14=6 Current State: 64:[51, 78, 6], Operations: ['20-14=6'] Exploring Operation: 78/6=13, Resulting Numbers: [51, 13] Generated Node #3: [51, 13] from Operation: 78/6=13 Current State: 64:[51, 13], Operations: ['20-14=6', '78/6=13'] Exploring Operation: 51+13=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 8, 62, 60, 91 ]
39
[ "8+62=70", "91-60=31", "70-31=39" ]
Current State: 39:[8, 62, 60, 91], Operations: [] Exploring Operation: 8+62=70, Resulting Numbers: [60, 91, 70] Generated Node #2: [60, 91, 70] from Operation: 8+62=70 Current State: 39:[60, 91, 70], Operations: ['8+62=70'] Exploring Operation: 91-60=31, Resulting Numbers: [70, 31] Generated Node #3: [70, 31] from Operation: 91-60=31 Current State: 39:[70, 31], Operations: ['8+62=70', '91-60=31'] Exploring Operation: 70-31=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 57, 61, 57, 26 ]
61
[ "57-57=0", "26*0=0", "61+0=61" ]
Current State: 61:[57, 61, 57, 26], Operations: [] Exploring Operation: 57-57=0, Resulting Numbers: [61, 26, 0] Generated Node #2: [61, 26, 0] from Operation: 57-57=0 Current State: 61:[61, 26, 0], Operations: ['57-57=0'] Exploring Operation: 26*0=0, Resulting Numbers: [61, 0] Generated Node #3: [61, 0] from Operation: 26*0=0 Current State: 61:[61, 0], Operations: ['57-57=0', '26*0=0'] Exploring Operation: 61+0=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 28, 31, 45, 39 ]
78
[ "28*39=1092", "45-31=14", "1092/14=78" ]
Current State: 78:[28, 31, 45, 39], Operations: [] Exploring Operation: 28*39=1092, Resulting Numbers: [31, 45, 1092] Generated Node #2: [31, 45, 1092] from Operation: 28*39=1092 Current State: 78:[31, 45, 1092], Operations: ['28*39=1092'] Exploring Operation: 45-31=14, Resulting Numbers: [1092, 14] Generated Node #3: [1092, 14] from Operation: 45-31=14 Current State: 78:[1092, 14], Operations: ['28*39=1092', '45-31=14'] Exploring Operation: 1092/14=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 3, 83, 35, 6 ]
16
[ "3*35=105", "83+6=89", "105-89=16" ]
Current State: 16:[3, 83, 35, 6], Operations: [] Exploring Operation: 3*35=105, Resulting Numbers: [83, 6, 105] Generated Node #2: [83, 6, 105] from Operation: 3*35=105 Current State: 16:[83, 6, 105], Operations: ['3*35=105'] Exploring Operation: 83+6=89, Resulting Numbers: [105, 89] Generated Node #3: [105, 89] from Operation: 83+6=89 Current State: 16:[105, 89], Operations: ['3*35=105', '83+6=89'] Exploring Operation: 105-89=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 7, 72, 46, 3 ]
30
[ "7+72=79", "46+3=49", "79-49=30" ]
Current State: 30:[7, 72, 46, 3], Operations: [] Exploring Operation: 7+72=79, Resulting Numbers: [46, 3, 79] Generated Node #2: [46, 3, 79] from Operation: 7+72=79 Current State: 30:[46, 3, 79], Operations: ['7+72=79'] Exploring Operation: 46+3=49, Resulting Numbers: [79, 49] Generated Node #3: [79, 49] from Operation: 46+3=49 Current State: 30:[79, 49], Operations: ['7+72=79', '46+3=49'] Exploring Operation: 79-49=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 65, 77, 16, 69 ]
97
[ "77-65=12", "16+69=85", "12+85=97" ]
Current State: 97:[65, 77, 16, 69], Operations: [] Exploring Operation: 77-65=12, Resulting Numbers: [16, 69, 12] Generated Node #2: [16, 69, 12] from Operation: 77-65=12 Current State: 97:[16, 69, 12], Operations: ['77-65=12'] Exploring Operation: 16+69=85, Resulting Numbers: [12, 85] Generated Node #3: [12, 85] from Operation: 16+69=85 Current State: 97:[12, 85], Operations: ['77-65=12', '16+69=85'] Exploring Operation: 12+85=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 29, 29, 83, 80 ]
83
[ "29-29=0", "80*0=0", "83+0=83" ]
Current State: 83:[29, 29, 83, 80], Operations: [] Exploring Operation: 29-29=0, Resulting Numbers: [83, 80, 0] Generated Node #2: [83, 80, 0] from Operation: 29-29=0 Current State: 83:[83, 80, 0], Operations: ['29-29=0'] Exploring Operation: 80*0=0, Resulting Numbers: [83, 0] Generated Node #3: [83, 0] from Operation: 80*0=0 Current State: 83:[83, 0], Operations: ['29-29=0', '80*0=0'] Exploring Operation: 83+0=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 69, 13, 28, 16 ]
15
[ "16-13=3", "28*3=84", "84-69=15" ]
Current State: 15:[69, 13, 28, 16], Operations: [] Exploring Operation: 16-13=3, Resulting Numbers: [69, 28, 3] Generated Node #2: [69, 28, 3] from Operation: 16-13=3 Current State: 15:[69, 28, 3], Operations: ['16-13=3'] Exploring Operation: 28*3=84, Resulting Numbers: [69, 84] Generated Node #3: [69, 84] from Operation: 28*3=84 Current State: 15:[69, 84], Operations: ['16-13=3', '28*3=84'] Exploring Operation: 84-69=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 96, 32, 95, 68 ]
91
[ "96-32=64", "95-68=27", "64+27=91" ]
Current State: 91:[96, 32, 95, 68], Operations: [] Exploring Operation: 96-32=64, Resulting Numbers: [95, 68, 64] Generated Node #2: [95, 68, 64] from Operation: 96-32=64 Current State: 91:[95, 68, 64], Operations: ['96-32=64'] Exploring Operation: 95-68=27, Resulting Numbers: [64, 27] Generated Node #3: [64, 27] from Operation: 95-68=27 Current State: 91:[64, 27], Operations: ['96-32=64', '95-68=27'] Exploring Operation: 64+27=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 48, 65, 58, 72 ]
99
[ "48+65=113", "72-58=14", "113-14=99" ]
Current State: 99:[48, 65, 58, 72], Operations: [] Exploring Operation: 48+65=113, Resulting Numbers: [58, 72, 113] Generated Node #2: [58, 72, 113] from Operation: 48+65=113 Current State: 99:[58, 72, 113], Operations: ['48+65=113'] Exploring Operation: 72-58=14, Resulting Numbers: [113, 14] Generated Node #3: [113, 14] from Operation: 72-58=14 Current State: 99:[113, 14], Operations: ['48+65=113', '72-58=14'] Exploring Operation: 113-14=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 63, 18, 52, 68 ]
97
[ "63+18=81", "68-52=16", "81+16=97" ]
Current State: 97:[63, 18, 52, 68], Operations: [] Exploring Operation: 63+18=81, Resulting Numbers: [52, 68, 81] Generated Node #2: [52, 68, 81] from Operation: 63+18=81 Current State: 97:[52, 68, 81], Operations: ['63+18=81'] Exploring Operation: 68-52=16, Resulting Numbers: [81, 16] Generated Node #3: [81, 16] from Operation: 68-52=16 Current State: 97:[81, 16], Operations: ['63+18=81', '68-52=16'] Exploring Operation: 81+16=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 56, 7, 39, 30 ]
89
[ "56-39=17", "7*17=119", "119-30=89" ]
Current State: 89:[56, 7, 39, 30], Operations: [] Exploring Operation: 56-39=17, Resulting Numbers: [7, 30, 17] Generated Node #2: [7, 30, 17] from Operation: 56-39=17 Current State: 89:[7, 30, 17], Operations: ['56-39=17'] Exploring Operation: 7*17=119, Resulting Numbers: [30, 119] Generated Node #3: [30, 119] from Operation: 7*17=119 Current State: 89:[30, 119], Operations: ['56-39=17', '7*17=119'] Exploring Operation: 119-30=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 48, 15, 9, 32 ]
48
[ "48*15=720", "720/9=80", "80-32=48" ]
Current State: 48:[48, 15, 9, 32], Operations: [] Exploring Operation: 48*15=720, Resulting Numbers: [9, 32, 720] Generated Node #2: [9, 32, 720] from Operation: 48*15=720 Current State: 48:[9, 32, 720], Operations: ['48*15=720'] Exploring Operation: 720/9=80, Resulting Numbers: [32, 80] Generated Node #3: [32, 80] from Operation: 720/9=80 Current State: 48:[32, 80], Operations: ['48*15=720', '720/9=80'] Exploring Operation: 80-32=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 70, 6, 43, 79 ]
58
[ "70-6=64", "43+79=122", "122-64=58" ]
Current State: 58:[70, 6, 43, 79], Operations: [] Exploring Operation: 70-6=64, Resulting Numbers: [43, 79, 64] Generated Node #2: [43, 79, 64] from Operation: 70-6=64 Current State: 58:[43, 79, 64], Operations: ['70-6=64'] Exploring Operation: 43+79=122, Resulting Numbers: [64, 122] Generated Node #3: [64, 122] from Operation: 43+79=122 Current State: 58:[64, 122], Operations: ['70-6=64', '43+79=122'] Exploring Operation: 122-64=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 82, 72, 21, 85 ]
74
[ "82-72=10", "85-21=64", "10+64=74" ]
Current State: 74:[82, 72, 21, 85], Operations: [] Exploring Operation: 82-72=10, Resulting Numbers: [21, 85, 10] Generated Node #2: [21, 85, 10] from Operation: 82-72=10 Current State: 74:[21, 85, 10], Operations: ['82-72=10'] Exploring Operation: 85-21=64, Resulting Numbers: [10, 64] Generated Node #3: [10, 64] from Operation: 85-21=64 Current State: 74:[10, 64], Operations: ['82-72=10', '85-21=64'] Exploring Operation: 10+64=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 3, 10, 29, 7 ]
23
[ "3+10=13", "29+7=36", "36-13=23" ]
Current State: 23:[3, 10, 29, 7], Operations: [] Exploring Operation: 3+10=13, Resulting Numbers: [29, 7, 13] Generated Node #2: [29, 7, 13] from Operation: 3+10=13 Current State: 23:[29, 7, 13], Operations: ['3+10=13'] Exploring Operation: 29+7=36, Resulting Numbers: [13, 36] Generated Node #3: [13, 36] from Operation: 29+7=36 Current State: 23:[13, 36], Operations: ['3+10=13', '29+7=36'] Exploring Operation: 36-13=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 19, 61, 15, 84 ]
13
[ "61-19=42", "84/42=2", "15-2=13" ]
Current State: 13:[19, 61, 15, 84], Operations: [] Exploring Operation: 61-19=42, Resulting Numbers: [15, 84, 42] Generated Node #2: [15, 84, 42] from Operation: 61-19=42 Current State: 13:[15, 84, 42], Operations: ['61-19=42'] Exploring Operation: 84/42=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 84/42=2 Current State: 13:[15, 2], Operations: ['61-19=42', '84/42=2'] Exploring Operation: 15-2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4