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
[ 14, 52, 50, 72 ]
35
[ "14*50=700", "72-52=20", "700/20=35" ]
Current State: 35:[14, 52, 50, 72], Operations: [] Exploring Operation: 14*50=700, Resulting Numbers: [52, 72, 700] Generated Node #2: [52, 72, 700] from Operation: 14*50=700 Current State: 35:[52, 72, 700], Operations: ['14*50=700'] Exploring Operation: 72-52=20, Resulting Numbers: [700, 20] Generated Node #3: [700, 20] from Operation: 72-52=20 Current State: 35:[700, 20], Operations: ['14*50=700', '72-52=20'] Exploring Operation: 700/20=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 25, 79, 88, 80 ]
62
[ "79-25=54", "88-80=8", "54+8=62" ]
Current State: 62:[25, 79, 88, 80], Operations: [] Exploring Operation: 79-25=54, Resulting Numbers: [88, 80, 54] Generated Node #2: [88, 80, 54] from Operation: 79-25=54 Current State: 62:[88, 80, 54], Operations: ['79-25=54'] Exploring Operation: 88-80=8, Resulting Numbers: [54, 8] Generated Node #3: [54, 8] from Operation: 88-80=8 Current State: 62:[54, 8], Operations: ['79-25=54', '88-80=8'] Exploring Operation: 54+8=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 42, 46, 56, 94 ]
64
[ "94-46=48", "56*48=2688", "2688/42=64" ]
Current State: 64:[42, 46, 56, 94], Operations: [] Exploring Operation: 94-46=48, Resulting Numbers: [42, 56, 48] Generated Node #2: [42, 56, 48] from Operation: 94-46=48 Current State: 64:[42, 56, 48], Operations: ['94-46=48'] Exploring Operation: 56*48=2688, Resulting Numbers: [42, 2688] Generated Node #3: [42, 2688] from Operation: 56*48=2688 Current State: 64:[42, 2688], Operations: ['94-46=48', '56*48=2688'] Exploring Operation: 2688/42=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 16, 2, 73, 67 ]
19
[ "73-67=6", "6/2=3", "16+3=19" ]
Current State: 19:[16, 2, 73, 67], Operations: [] Exploring Operation: 73-67=6, Resulting Numbers: [16, 2, 6] Generated Node #2: [16, 2, 6] from Operation: 73-67=6 Current State: 19:[16, 2, 6], Operations: ['73-67=6'] Exploring Operation: 6/2=3, Resulting Numbers: [16, 3] Generated Node #3: [16, 3] from Operation: 6/2=3 Current State: 19:[16, 3], Operations: ['73-67=6', '6/2=3'] Exploring Operation: 16+3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 4, 39, 10, 20 ]
41
[ "4+39=43", "20/10=2", "43-2=41" ]
Current State: 41:[4, 39, 10, 20], Operations: [] Exploring Operation: 4+39=43, Resulting Numbers: [10, 20, 43] Generated Node #2: [10, 20, 43] from Operation: 4+39=43 Current State: 41:[10, 20, 43], Operations: ['4+39=43'] Exploring Operation: 20/10=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 20/10=2 Current State: 41:[43, 2], Operations: ['4+39=43', '20/10=2'] Exploring Operation: 43-2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 20, 76, 71, 54 ]
73
[ "76-20=56", "71-54=17", "56+17=73" ]
Current State: 73:[20, 76, 71, 54], Operations: [] Exploring Operation: 76-20=56, Resulting Numbers: [71, 54, 56] Generated Node #2: [71, 54, 56] from Operation: 76-20=56 Current State: 73:[71, 54, 56], Operations: ['76-20=56'] Exploring Operation: 71-54=17, Resulting Numbers: [56, 17] Generated Node #3: [56, 17] from Operation: 71-54=17 Current State: 73:[56, 17], Operations: ['76-20=56', '71-54=17'] Exploring Operation: 56+17=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 17, 16, 57, 53 ]
68
[ "17*16=272", "57-53=4", "272/4=68" ]
Current State: 68:[17, 16, 57, 53], Operations: [] Exploring Operation: 17*16=272, Resulting Numbers: [57, 53, 272] Generated Node #2: [57, 53, 272] from Operation: 17*16=272 Current State: 68:[57, 53, 272], Operations: ['17*16=272'] Exploring Operation: 57-53=4, Resulting Numbers: [272, 4] Generated Node #3: [272, 4] from Operation: 57-53=4 Current State: 68:[272, 4], Operations: ['17*16=272', '57-53=4'] Exploring Operation: 272/4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 83, 24, 36, 67 ]
90
[ "83-24=59", "67-36=31", "59+31=90" ]
Current State: 90:[83, 24, 36, 67], Operations: [] Exploring Operation: 83-24=59, Resulting Numbers: [36, 67, 59] Generated Node #2: [36, 67, 59] from Operation: 83-24=59 Current State: 90:[36, 67, 59], Operations: ['83-24=59'] Exploring Operation: 67-36=31, Resulting Numbers: [59, 31] Generated Node #3: [59, 31] from Operation: 67-36=31 Current State: 90:[59, 31], Operations: ['83-24=59', '67-36=31'] Exploring Operation: 59+31=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 54, 75, 89, 92 ]
87
[ "92-89=3", "54*3=162", "162-75=87" ]
Current State: 87:[54, 75, 89, 92], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [54, 75, 3] Generated Node #2: [54, 75, 3] from Operation: 92-89=3 Current State: 87:[54, 75, 3], Operations: ['92-89=3'] Exploring Operation: 54*3=162, Resulting Numbers: [75, 162] Generated Node #3: [75, 162] from Operation: 54*3=162 Current State: 87:[75, 162], Operations: ['92-89=3', '54*3=162'] Exploring Operation: 162-75=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 20, 86, 29, 6 ]
43
[ "86-20=66", "29-6=23", "66-23=43" ]
Current State: 43:[20, 86, 29, 6], Operations: [] Exploring Operation: 86-20=66, Resulting Numbers: [29, 6, 66] Generated Node #2: [29, 6, 66] from Operation: 86-20=66 Current State: 43:[29, 6, 66], Operations: ['86-20=66'] Exploring Operation: 29-6=23, Resulting Numbers: [66, 23] Generated Node #3: [66, 23] from Operation: 29-6=23 Current State: 43:[66, 23], Operations: ['86-20=66', '29-6=23'] Exploring Operation: 66-23=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 83, 53, 80, 65 ]
15
[ "83-53=30", "80-65=15", "30-15=15" ]
Current State: 15:[83, 53, 80, 65], Operations: [] Exploring Operation: 83-53=30, Resulting Numbers: [80, 65, 30] Generated Node #2: [80, 65, 30] from Operation: 83-53=30 Current State: 15:[80, 65, 30], Operations: ['83-53=30'] Exploring Operation: 80-65=15, Resulting Numbers: [30, 15] Generated Node #3: [30, 15] from Operation: 80-65=15 Current State: 15:[30, 15], Operations: ['83-53=30', '80-65=15'] Exploring Operation: 30-15=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 13, 32, 63, 22 ]
22
[ "32-13=19", "63-22=41", "41-19=22" ]
Current State: 22:[13, 32, 63, 22], Operations: [] Exploring Operation: 32-13=19, Resulting Numbers: [63, 22, 19] Generated Node #2: [63, 22, 19] from Operation: 32-13=19 Current State: 22:[63, 22, 19], Operations: ['32-13=19'] Exploring Operation: 63-22=41, Resulting Numbers: [19, 41] Generated Node #3: [19, 41] from Operation: 63-22=41 Current State: 22:[19, 41], Operations: ['32-13=19', '63-22=41'] Exploring Operation: 41-19=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 4, 14, 56, 26 ]
11
[ "14+56=70", "70-26=44", "44/4=11" ]
Current State: 11:[4, 14, 56, 26], Operations: [] Exploring Operation: 14+56=70, Resulting Numbers: [4, 26, 70] Generated Node #2: [4, 26, 70] from Operation: 14+56=70 Current State: 11:[4, 26, 70], Operations: ['14+56=70'] Exploring Operation: 70-26=44, Resulting Numbers: [4, 44] Generated Node #3: [4, 44] from Operation: 70-26=44 Current State: 11:[4, 44], Operations: ['14+56=70', '70-26=44'] Exploring Operation: 44/4=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 21, 64, 42, 93 ]
93
[ "64-21=43", "43-42=1", "93*1=93" ]
Current State: 93:[21, 64, 42, 93], Operations: [] Exploring Operation: 64-21=43, Resulting Numbers: [42, 93, 43] Generated Node #2: [42, 93, 43] from Operation: 64-21=43 Current State: 93:[42, 93, 43], Operations: ['64-21=43'] Exploring Operation: 43-42=1, Resulting Numbers: [93, 1] Generated Node #3: [93, 1] from Operation: 43-42=1 Current State: 93:[93, 1], Operations: ['64-21=43', '43-42=1'] Exploring Operation: 93*1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 89, 96, 2, 87 ]
95
[ "89-2=87", "87/87=1", "96-1=95" ]
Current State: 95:[89, 96, 2, 87], Operations: [] Exploring Operation: 89-2=87, Resulting Numbers: [96, 87, 87] Generated Node #2: [96, 87, 87] from Operation: 89-2=87 Current State: 95:[96, 87, 87], Operations: ['89-2=87'] Exploring Operation: 87/87=1, Resulting Numbers: [96, 1] Generated Node #3: [96, 1] from Operation: 87/87=1 Current State: 95:[96, 1], Operations: ['89-2=87', '87/87=1'] Exploring Operation: 96-1=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 36, 86, 72, 18 ]
92
[ "36+72=108", "108/18=6", "86+6=92" ]
Current State: 92:[36, 86, 72, 18], Operations: [] Exploring Operation: 36+72=108, Resulting Numbers: [86, 18, 108] Generated Node #2: [86, 18, 108] from Operation: 36+72=108 Current State: 92:[86, 18, 108], Operations: ['36+72=108'] Exploring Operation: 108/18=6, Resulting Numbers: [86, 6] Generated Node #3: [86, 6] from Operation: 108/18=6 Current State: 92:[86, 6], Operations: ['36+72=108', '108/18=6'] Exploring Operation: 86+6=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 93, 91, 80, 26 ]
28
[ "93-91=2", "26*2=52", "80-52=28" ]
Current State: 28:[93, 91, 80, 26], Operations: [] Exploring Operation: 93-91=2, Resulting Numbers: [80, 26, 2] Generated Node #2: [80, 26, 2] from Operation: 93-91=2 Current State: 28:[80, 26, 2], Operations: ['93-91=2'] Exploring Operation: 26*2=52, Resulting Numbers: [80, 52] Generated Node #3: [80, 52] from Operation: 26*2=52 Current State: 28:[80, 52], Operations: ['93-91=2', '26*2=52'] Exploring Operation: 80-52=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 66, 95, 87, 84 ]
81
[ "95-66=29", "87/29=3", "84-3=81" ]
Current State: 81:[66, 95, 87, 84], Operations: [] Exploring Operation: 95-66=29, Resulting Numbers: [87, 84, 29] Generated Node #2: [87, 84, 29] from Operation: 95-66=29 Current State: 81:[87, 84, 29], Operations: ['95-66=29'] Exploring Operation: 87/29=3, Resulting Numbers: [84, 3] Generated Node #3: [84, 3] from Operation: 87/29=3 Current State: 81:[84, 3], Operations: ['95-66=29', '87/29=3'] Exploring Operation: 84-3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 64, 16, 10, 94 ]
36
[ "64-16=48", "94-10=84", "84-48=36" ]
Current State: 36:[64, 16, 10, 94], Operations: [] Exploring Operation: 64-16=48, Resulting Numbers: [10, 94, 48] Generated Node #2: [10, 94, 48] from Operation: 64-16=48 Current State: 36:[10, 94, 48], Operations: ['64-16=48'] Exploring Operation: 94-10=84, Resulting Numbers: [48, 84] Generated Node #3: [48, 84] from Operation: 94-10=84 Current State: 36:[48, 84], Operations: ['64-16=48', '94-10=84'] Exploring Operation: 84-48=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 5, 78, 87, 47 ]
61
[ "78-5=73", "87+47=134", "134-73=61" ]
Current State: 61:[5, 78, 87, 47], Operations: [] Exploring Operation: 78-5=73, Resulting Numbers: [87, 47, 73] Generated Node #2: [87, 47, 73] from Operation: 78-5=73 Current State: 61:[87, 47, 73], Operations: ['78-5=73'] Exploring Operation: 87+47=134, Resulting Numbers: [73, 134] Generated Node #3: [73, 134] from Operation: 87+47=134 Current State: 61:[73, 134], Operations: ['78-5=73', '87+47=134'] Exploring Operation: 134-73=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 17, 53, 26, 12 ]
84
[ "17+53=70", "26-12=14", "70+14=84" ]
Current State: 84:[17, 53, 26, 12], Operations: [] Exploring Operation: 17+53=70, Resulting Numbers: [26, 12, 70] Generated Node #2: [26, 12, 70] from Operation: 17+53=70 Current State: 84:[26, 12, 70], Operations: ['17+53=70'] Exploring Operation: 26-12=14, Resulting Numbers: [70, 14] Generated Node #3: [70, 14] from Operation: 26-12=14 Current State: 84:[70, 14], Operations: ['17+53=70', '26-12=14'] Exploring Operation: 70+14=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 64, 2, 18, 72 ]
20
[ "64+18=82", "82-72=10", "2*10=20" ]
Current State: 20:[64, 2, 18, 72], Operations: [] Exploring Operation: 64+18=82, Resulting Numbers: [2, 72, 82] Generated Node #2: [2, 72, 82] from Operation: 64+18=82 Current State: 20:[2, 72, 82], Operations: ['64+18=82'] Exploring Operation: 82-72=10, Resulting Numbers: [2, 10] Generated Node #3: [2, 10] from Operation: 82-72=10 Current State: 20:[2, 10], Operations: ['64+18=82', '82-72=10'] Exploring Operation: 2*10=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 8, 2, 77, 34 ]
95
[ "8*2=16", "77+34=111", "111-16=95" ]
Current State: 95:[8, 2, 77, 34], Operations: [] Exploring Operation: 8*2=16, Resulting Numbers: [77, 34, 16] Generated Node #2: [77, 34, 16] from Operation: 8*2=16 Current State: 95:[77, 34, 16], Operations: ['8*2=16'] Exploring Operation: 77+34=111, Resulting Numbers: [16, 111] Generated Node #3: [16, 111] from Operation: 77+34=111 Current State: 95:[16, 111], Operations: ['8*2=16', '77+34=111'] Exploring Operation: 111-16=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 39, 3, 85, 40 ]
82
[ "40-39=1", "85-3=82", "1*82=82" ]
Current State: 82:[39, 3, 85, 40], Operations: [] Exploring Operation: 40-39=1, Resulting Numbers: [3, 85, 1] Generated Node #2: [3, 85, 1] from Operation: 40-39=1 Current State: 82:[3, 85, 1], Operations: ['40-39=1'] Exploring Operation: 85-3=82, Resulting Numbers: [1, 82] Generated Node #3: [1, 82] from Operation: 85-3=82 Current State: 82:[1, 82], Operations: ['40-39=1', '85-3=82'] Exploring Operation: 1*82=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 28, 76, 6, 46 ]
52
[ "28+76=104", "6+46=52", "104-52=52" ]
Current State: 52:[28, 76, 6, 46], Operations: [] Exploring Operation: 28+76=104, Resulting Numbers: [6, 46, 104] Generated Node #2: [6, 46, 104] from Operation: 28+76=104 Current State: 52:[6, 46, 104], Operations: ['28+76=104'] Exploring Operation: 6+46=52, Resulting Numbers: [104, 52] Generated Node #3: [104, 52] from Operation: 6+46=52 Current State: 52:[104, 52], Operations: ['28+76=104', '6+46=52'] Exploring Operation: 104-52=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 58, 13, 47, 41 ]
65
[ "58+13=71", "47-41=6", "71-6=65" ]
Current State: 65:[58, 13, 47, 41], Operations: [] Exploring Operation: 58+13=71, Resulting Numbers: [47, 41, 71] Generated Node #2: [47, 41, 71] from Operation: 58+13=71 Current State: 65:[47, 41, 71], Operations: ['58+13=71'] Exploring Operation: 47-41=6, Resulting Numbers: [71, 6] Generated Node #3: [71, 6] from Operation: 47-41=6 Current State: 65:[71, 6], Operations: ['58+13=71', '47-41=6'] Exploring Operation: 71-6=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 53, 30, 18, 12 ]
58
[ "18-12=6", "30/6=5", "53+5=58" ]
Current State: 58:[53, 30, 18, 12], Operations: [] Exploring Operation: 18-12=6, Resulting Numbers: [53, 30, 6] Generated Node #2: [53, 30, 6] from Operation: 18-12=6 Current State: 58:[53, 30, 6], Operations: ['18-12=6'] Exploring Operation: 30/6=5, Resulting Numbers: [53, 5] Generated Node #3: [53, 5] from Operation: 30/6=5 Current State: 58:[53, 5], Operations: ['18-12=6', '30/6=5'] Exploring Operation: 53+5=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 17, 14, 53, 45 ]
10
[ "53+45=98", "98/14=7", "17-7=10" ]
Current State: 10:[17, 14, 53, 45], Operations: [] Exploring Operation: 53+45=98, Resulting Numbers: [17, 14, 98] Generated Node #2: [17, 14, 98] from Operation: 53+45=98 Current State: 10:[17, 14, 98], Operations: ['53+45=98'] Exploring Operation: 98/14=7, Resulting Numbers: [17, 7] Generated Node #3: [17, 7] from Operation: 98/14=7 Current State: 10:[17, 7], Operations: ['53+45=98', '98/14=7'] Exploring Operation: 17-7=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 10, 13, 64, 59 ]
37
[ "64-59=5", "10*5=50", "50-13=37" ]
Current State: 37:[10, 13, 64, 59], Operations: [] Exploring Operation: 64-59=5, Resulting Numbers: [10, 13, 5] Generated Node #2: [10, 13, 5] from Operation: 64-59=5 Current State: 37:[10, 13, 5], Operations: ['64-59=5'] Exploring Operation: 10*5=50, Resulting Numbers: [13, 50] Generated Node #3: [13, 50] from Operation: 10*5=50 Current State: 37:[13, 50], Operations: ['64-59=5', '10*5=50'] Exploring Operation: 50-13=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 2, 92, 68, 33 ]
50
[ "92-33=59", "2*59=118", "118-68=50" ]
Current State: 50:[2, 92, 68, 33], Operations: [] Exploring Operation: 92-33=59, Resulting Numbers: [2, 68, 59] Generated Node #2: [2, 68, 59] from Operation: 92-33=59 Current State: 50:[2, 68, 59], Operations: ['92-33=59'] Exploring Operation: 2*59=118, Resulting Numbers: [68, 118] Generated Node #3: [68, 118] from Operation: 2*59=118 Current State: 50:[68, 118], Operations: ['92-33=59', '2*59=118'] Exploring Operation: 118-68=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 72, 21, 76, 33 ]
94
[ "72-21=51", "76-33=43", "51+43=94" ]
Current State: 94:[72, 21, 76, 33], Operations: [] Exploring Operation: 72-21=51, Resulting Numbers: [76, 33, 51] Generated Node #2: [76, 33, 51] from Operation: 72-21=51 Current State: 94:[76, 33, 51], Operations: ['72-21=51'] Exploring Operation: 76-33=43, Resulting Numbers: [51, 43] Generated Node #3: [51, 43] from Operation: 76-33=43 Current State: 94:[51, 43], Operations: ['72-21=51', '76-33=43'] Exploring Operation: 51+43=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 51, 86, 29, 84 ]
73
[ "86-84=2", "51*2=102", "102-29=73" ]
Current State: 73:[51, 86, 29, 84], Operations: [] Exploring Operation: 86-84=2, Resulting Numbers: [51, 29, 2] Generated Node #2: [51, 29, 2] from Operation: 86-84=2 Current State: 73:[51, 29, 2], Operations: ['86-84=2'] Exploring Operation: 51*2=102, Resulting Numbers: [29, 102] Generated Node #3: [29, 102] from Operation: 51*2=102 Current State: 73:[29, 102], Operations: ['86-84=2', '51*2=102'] Exploring Operation: 102-29=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 43, 98, 11, 48 ]
77
[ "98-43=55", "55-48=7", "11*7=77" ]
Current State: 77:[43, 98, 11, 48], Operations: [] Exploring Operation: 98-43=55, Resulting Numbers: [11, 48, 55] Generated Node #2: [11, 48, 55] from Operation: 98-43=55 Current State: 77:[11, 48, 55], Operations: ['98-43=55'] Exploring Operation: 55-48=7, Resulting Numbers: [11, 7] Generated Node #3: [11, 7] from Operation: 55-48=7 Current State: 77:[11, 7], Operations: ['98-43=55', '55-48=7'] Exploring Operation: 11*7=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 81, 97, 59, 90 ]
29
[ "81+97=178", "59+90=149", "178-149=29" ]
Current State: 29:[81, 97, 59, 90], Operations: [] Exploring Operation: 81+97=178, Resulting Numbers: [59, 90, 178] Generated Node #2: [59, 90, 178] from Operation: 81+97=178 Current State: 29:[59, 90, 178], Operations: ['81+97=178'] Exploring Operation: 59+90=149, Resulting Numbers: [178, 149] Generated Node #3: [178, 149] from Operation: 59+90=149 Current State: 29:[178, 149], Operations: ['81+97=178', '59+90=149'] Exploring Operation: 178-149=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 32, 11, 22, 30 ]
35
[ "32+11=43", "30-22=8", "43-8=35" ]
Current State: 35:[32, 11, 22, 30], Operations: [] Exploring Operation: 32+11=43, Resulting Numbers: [22, 30, 43] Generated Node #2: [22, 30, 43] from Operation: 32+11=43 Current State: 35:[22, 30, 43], Operations: ['32+11=43'] Exploring Operation: 30-22=8, Resulting Numbers: [43, 8] Generated Node #3: [43, 8] from Operation: 30-22=8 Current State: 35:[43, 8], Operations: ['32+11=43', '30-22=8'] Exploring Operation: 43-8=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 21, 2, 48, 33 ]
60
[ "21+33=54", "2*54=108", "108-48=60" ]
Current State: 60:[21, 2, 48, 33], Operations: [] Exploring Operation: 21+33=54, Resulting Numbers: [2, 48, 54] Generated Node #2: [2, 48, 54] from Operation: 21+33=54 Current State: 60:[2, 48, 54], Operations: ['21+33=54'] Exploring Operation: 2*54=108, Resulting Numbers: [48, 108] Generated Node #3: [48, 108] from Operation: 2*54=108 Current State: 60:[48, 108], Operations: ['21+33=54', '2*54=108'] Exploring Operation: 108-48=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 1, 69, 95, 1 ]
82
[ "1+1=2", "69+95=164", "164/2=82" ]
Current State: 82:[1, 69, 95, 1], Operations: [] Exploring Operation: 1+1=2, Resulting Numbers: [69, 95, 2] Generated Node #2: [69, 95, 2] from Operation: 1+1=2 Current State: 82:[69, 95, 2], Operations: ['1+1=2'] Exploring Operation: 69+95=164, Resulting Numbers: [2, 164] Generated Node #3: [2, 164] from Operation: 69+95=164 Current State: 82:[2, 164], Operations: ['1+1=2', '69+95=164'] Exploring Operation: 164/2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 26, 82, 9, 18 ]
67
[ "82*9=738", "738/18=41", "26+41=67" ]
Current State: 67:[26, 82, 9, 18], Operations: [] Exploring Operation: 82*9=738, Resulting Numbers: [26, 18, 738] Generated Node #2: [26, 18, 738] from Operation: 82*9=738 Current State: 67:[26, 18, 738], Operations: ['82*9=738'] Exploring Operation: 738/18=41, Resulting Numbers: [26, 41] Generated Node #3: [26, 41] from Operation: 738/18=41 Current State: 67:[26, 41], Operations: ['82*9=738', '738/18=41'] Exploring Operation: 26+41=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 83, 5, 82, 87 ]
81
[ "83+5=88", "82+87=169", "169-88=81" ]
Current State: 81:[83, 5, 82, 87], Operations: [] Exploring Operation: 83+5=88, Resulting Numbers: [82, 87, 88] Generated Node #2: [82, 87, 88] from Operation: 83+5=88 Current State: 81:[82, 87, 88], Operations: ['83+5=88'] Exploring Operation: 82+87=169, Resulting Numbers: [88, 169] Generated Node #3: [88, 169] from Operation: 82+87=169 Current State: 81:[88, 169], Operations: ['83+5=88', '82+87=169'] Exploring Operation: 169-88=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 72, 23, 50, 26 ]
73
[ "72-23=49", "50-26=24", "49+24=73" ]
Current State: 73:[72, 23, 50, 26], Operations: [] Exploring Operation: 72-23=49, Resulting Numbers: [50, 26, 49] Generated Node #2: [50, 26, 49] from Operation: 72-23=49 Current State: 73:[50, 26, 49], Operations: ['72-23=49'] Exploring Operation: 50-26=24, Resulting Numbers: [49, 24] Generated Node #3: [49, 24] from Operation: 50-26=24 Current State: 73:[49, 24], Operations: ['72-23=49', '50-26=24'] Exploring Operation: 49+24=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 6, 15, 22, 20 ]
28
[ "15*20=300", "300/6=50", "50-22=28" ]
Current State: 28:[6, 15, 22, 20], Operations: [] Exploring Operation: 15*20=300, Resulting Numbers: [6, 22, 300] Generated Node #2: [6, 22, 300] from Operation: 15*20=300 Current State: 28:[6, 22, 300], Operations: ['15*20=300'] Exploring Operation: 300/6=50, Resulting Numbers: [22, 50] Generated Node #3: [22, 50] from Operation: 300/6=50 Current State: 28:[22, 50], Operations: ['15*20=300', '300/6=50'] Exploring Operation: 50-22=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 5, 59, 90, 27 ]
53
[ "5+59=64", "90+27=117", "117-64=53" ]
Current State: 53:[5, 59, 90, 27], Operations: [] Exploring Operation: 5+59=64, Resulting Numbers: [90, 27, 64] Generated Node #2: [90, 27, 64] from Operation: 5+59=64 Current State: 53:[90, 27, 64], Operations: ['5+59=64'] Exploring Operation: 90+27=117, Resulting Numbers: [64, 117] Generated Node #3: [64, 117] from Operation: 90+27=117 Current State: 53:[64, 117], Operations: ['5+59=64', '90+27=117'] Exploring Operation: 117-64=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 84, 7, 65, 5 ]
35
[ "84*5=420", "7*65=455", "455-420=35" ]
Current State: 35:[84, 7, 65, 5], Operations: [] Exploring Operation: 84*5=420, Resulting Numbers: [7, 65, 420] Generated Node #2: [7, 65, 420] from Operation: 84*5=420 Current State: 35:[7, 65, 420], Operations: ['84*5=420'] Exploring Operation: 7*65=455, Resulting Numbers: [420, 455] Generated Node #3: [420, 455] from Operation: 7*65=455 Current State: 35:[420, 455], Operations: ['84*5=420', '7*65=455'] Exploring Operation: 455-420=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 66, 57, 94, 21 ]
50
[ "66+57=123", "94-21=73", "123-73=50" ]
Current State: 50:[66, 57, 94, 21], Operations: [] Exploring Operation: 66+57=123, Resulting Numbers: [94, 21, 123] Generated Node #2: [94, 21, 123] from Operation: 66+57=123 Current State: 50:[94, 21, 123], Operations: ['66+57=123'] Exploring Operation: 94-21=73, Resulting Numbers: [123, 73] Generated Node #3: [123, 73] from Operation: 94-21=73 Current State: 50:[123, 73], Operations: ['66+57=123', '94-21=73'] Exploring Operation: 123-73=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 7, 11, 74, 21 ]
84
[ "7*21=147", "74-11=63", "147-63=84" ]
Current State: 84:[7, 11, 74, 21], Operations: [] Exploring Operation: 7*21=147, Resulting Numbers: [11, 74, 147] Generated Node #2: [11, 74, 147] from Operation: 7*21=147 Current State: 84:[11, 74, 147], Operations: ['7*21=147'] Exploring Operation: 74-11=63, Resulting Numbers: [147, 63] Generated Node #3: [147, 63] from Operation: 74-11=63 Current State: 84:[147, 63], Operations: ['7*21=147', '74-11=63'] Exploring Operation: 147-63=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 25, 64, 59, 4 ]
26
[ "25+64=89", "59+4=63", "89-63=26" ]
Current State: 26:[25, 64, 59, 4], Operations: [] Exploring Operation: 25+64=89, Resulting Numbers: [59, 4, 89] Generated Node #2: [59, 4, 89] from Operation: 25+64=89 Current State: 26:[59, 4, 89], Operations: ['25+64=89'] Exploring Operation: 59+4=63, Resulting Numbers: [89, 63] Generated Node #3: [89, 63] from Operation: 59+4=63 Current State: 26:[89, 63], Operations: ['25+64=89', '59+4=63'] Exploring Operation: 89-63=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 14, 53, 42, 40 ]
78
[ "53-14=39", "42-40=2", "39*2=78" ]
Current State: 78:[14, 53, 42, 40], Operations: [] Exploring Operation: 53-14=39, Resulting Numbers: [42, 40, 39] Generated Node #2: [42, 40, 39] from Operation: 53-14=39 Current State: 78:[42, 40, 39], Operations: ['53-14=39'] Exploring Operation: 42-40=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 42-40=2 Current State: 78:[39, 2], Operations: ['53-14=39', '42-40=2'] Exploring Operation: 39*2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 58, 85, 45, 11 ]
87
[ "58+85=143", "45+11=56", "143-56=87" ]
Current State: 87:[58, 85, 45, 11], Operations: [] Exploring Operation: 58+85=143, Resulting Numbers: [45, 11, 143] Generated Node #2: [45, 11, 143] from Operation: 58+85=143 Current State: 87:[45, 11, 143], Operations: ['58+85=143'] Exploring Operation: 45+11=56, Resulting Numbers: [143, 56] Generated Node #3: [143, 56] from Operation: 45+11=56 Current State: 87:[143, 56], Operations: ['58+85=143', '45+11=56'] Exploring Operation: 143-56=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 29, 1, 25, 20 ]
81
[ "29-25=4", "20*4=80", "1+80=81" ]
Current State: 81:[29, 1, 25, 20], Operations: [] Exploring Operation: 29-25=4, Resulting Numbers: [1, 20, 4] Generated Node #2: [1, 20, 4] from Operation: 29-25=4 Current State: 81:[1, 20, 4], Operations: ['29-25=4'] Exploring Operation: 20*4=80, Resulting Numbers: [1, 80] Generated Node #3: [1, 80] from Operation: 20*4=80 Current State: 81:[1, 80], Operations: ['29-25=4', '20*4=80'] Exploring Operation: 1+80=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 66, 9, 76, 36 ]
47
[ "9*76=684", "684/36=19", "66-19=47" ]
Current State: 47:[66, 9, 76, 36], Operations: [] Exploring Operation: 9*76=684, Resulting Numbers: [66, 36, 684] Generated Node #2: [66, 36, 684] from Operation: 9*76=684 Current State: 47:[66, 36, 684], Operations: ['9*76=684'] Exploring Operation: 684/36=19, Resulting Numbers: [66, 19] Generated Node #3: [66, 19] from Operation: 684/36=19 Current State: 47:[66, 19], Operations: ['9*76=684', '684/36=19'] Exploring Operation: 66-19=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 40, 69, 94, 24 ]
89
[ "69-40=29", "94+24=118", "118-29=89" ]
Current State: 89:[40, 69, 94, 24], Operations: [] Exploring Operation: 69-40=29, Resulting Numbers: [94, 24, 29] Generated Node #2: [94, 24, 29] from Operation: 69-40=29 Current State: 89:[94, 24, 29], Operations: ['69-40=29'] Exploring Operation: 94+24=118, Resulting Numbers: [29, 118] Generated Node #3: [29, 118] from Operation: 94+24=118 Current State: 89:[29, 118], Operations: ['69-40=29', '94+24=118'] Exploring Operation: 118-29=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 66, 60, 7, 82 ]
82
[ "66-60=6", "7-6=1", "82*1=82" ]
Current State: 82:[66, 60, 7, 82], Operations: [] Exploring Operation: 66-60=6, Resulting Numbers: [7, 82, 6] Generated Node #2: [7, 82, 6] from Operation: 66-60=6 Current State: 82:[7, 82, 6], Operations: ['66-60=6'] Exploring Operation: 7-6=1, Resulting Numbers: [82, 1] Generated Node #3: [82, 1] from Operation: 7-6=1 Current State: 82:[82, 1], Operations: ['66-60=6', '7-6=1'] Exploring Operation: 82*1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 63, 44, 52, 48 ]
74
[ "52-48=4", "44/4=11", "63+11=74" ]
Current State: 74:[63, 44, 52, 48], Operations: [] Exploring Operation: 52-48=4, Resulting Numbers: [63, 44, 4] Generated Node #2: [63, 44, 4] from Operation: 52-48=4 Current State: 74:[63, 44, 4], Operations: ['52-48=4'] Exploring Operation: 44/4=11, Resulting Numbers: [63, 11] Generated Node #3: [63, 11] from Operation: 44/4=11 Current State: 74:[63, 11], Operations: ['52-48=4', '44/4=11'] Exploring Operation: 63+11=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 59, 96, 96, 38 ]
59
[ "96-96=0", "38*0=0", "59+0=59" ]
Current State: 59:[59, 96, 96, 38], Operations: [] Exploring Operation: 96-96=0, Resulting Numbers: [59, 38, 0] Generated Node #2: [59, 38, 0] from Operation: 96-96=0 Current State: 59:[59, 38, 0], Operations: ['96-96=0'] Exploring Operation: 38*0=0, Resulting Numbers: [59, 0] Generated Node #3: [59, 0] from Operation: 38*0=0 Current State: 59:[59, 0], Operations: ['96-96=0', '38*0=0'] Exploring Operation: 59+0=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 7, 78, 50, 97 ]
57
[ "50+97=147", "147/7=21", "78-21=57" ]
Current State: 57:[7, 78, 50, 97], Operations: [] Exploring Operation: 50+97=147, Resulting Numbers: [7, 78, 147] Generated Node #2: [7, 78, 147] from Operation: 50+97=147 Current State: 57:[7, 78, 147], Operations: ['50+97=147'] Exploring Operation: 147/7=21, Resulting Numbers: [78, 21] Generated Node #3: [78, 21] from Operation: 147/7=21 Current State: 57:[78, 21], Operations: ['50+97=147', '147/7=21'] Exploring Operation: 78-21=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 40, 8, 25, 31 ]
12
[ "40+25=65", "31+65=96", "96/8=12" ]
Current State: 12:[40, 8, 25, 31], Operations: [] Exploring Operation: 40+25=65, Resulting Numbers: [8, 31, 65] Generated Node #2: [8, 31, 65] from Operation: 40+25=65 Current State: 12:[8, 31, 65], Operations: ['40+25=65'] Exploring Operation: 31+65=96, Resulting Numbers: [8, 96] Generated Node #3: [8, 96] from Operation: 31+65=96 Current State: 12:[8, 96], Operations: ['40+25=65', '31+65=96'] Exploring Operation: 96/8=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 18, 2, 70, 29 ]
90
[ "18/2=9", "70+29=99", "99-9=90" ]
Current State: 90:[18, 2, 70, 29], Operations: [] Exploring Operation: 18/2=9, Resulting Numbers: [70, 29, 9] Generated Node #2: [70, 29, 9] from Operation: 18/2=9 Current State: 90:[70, 29, 9], Operations: ['18/2=9'] Exploring Operation: 70+29=99, Resulting Numbers: [9, 99] Generated Node #3: [9, 99] from Operation: 70+29=99 Current State: 90:[9, 99], Operations: ['18/2=9', '70+29=99'] Exploring Operation: 99-9=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 27, 95, 61, 82 ]
89
[ "95-27=68", "82-61=21", "68+21=89" ]
Current State: 89:[27, 95, 61, 82], Operations: [] Exploring Operation: 95-27=68, Resulting Numbers: [61, 82, 68] Generated Node #2: [61, 82, 68] from Operation: 95-27=68 Current State: 89:[61, 82, 68], Operations: ['95-27=68'] Exploring Operation: 82-61=21, Resulting Numbers: [68, 21] Generated Node #3: [68, 21] from Operation: 82-61=21 Current State: 89:[68, 21], Operations: ['95-27=68', '82-61=21'] Exploring Operation: 68+21=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 93, 89, 24, 55 ]
99
[ "89+55=144", "144/24=6", "93+6=99" ]
Current State: 99:[93, 89, 24, 55], Operations: [] Exploring Operation: 89+55=144, Resulting Numbers: [93, 24, 144] Generated Node #2: [93, 24, 144] from Operation: 89+55=144 Current State: 99:[93, 24, 144], Operations: ['89+55=144'] Exploring Operation: 144/24=6, Resulting Numbers: [93, 6] Generated Node #3: [93, 6] from Operation: 144/24=6 Current State: 99:[93, 6], Operations: ['89+55=144', '144/24=6'] Exploring Operation: 93+6=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 74, 37, 8, 67 ]
93
[ "74-67=7", "8*7=56", "37+56=93" ]
Current State: 93:[74, 37, 8, 67], Operations: [] Exploring Operation: 74-67=7, Resulting Numbers: [37, 8, 7] Generated Node #2: [37, 8, 7] from Operation: 74-67=7 Current State: 93:[37, 8, 7], Operations: ['74-67=7'] Exploring Operation: 8*7=56, Resulting Numbers: [37, 56] Generated Node #3: [37, 56] from Operation: 8*7=56 Current State: 93:[37, 56], Operations: ['74-67=7', '8*7=56'] Exploring Operation: 37+56=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 18, 90, 81, 15 ]
12
[ "18+90=108", "81+15=96", "108-96=12" ]
Current State: 12:[18, 90, 81, 15], Operations: [] Exploring Operation: 18+90=108, Resulting Numbers: [81, 15, 108] Generated Node #2: [81, 15, 108] from Operation: 18+90=108 Current State: 12:[81, 15, 108], Operations: ['18+90=108'] Exploring Operation: 81+15=96, Resulting Numbers: [108, 96] Generated Node #3: [108, 96] from Operation: 81+15=96 Current State: 12:[108, 96], Operations: ['18+90=108', '81+15=96'] Exploring Operation: 108-96=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 76, 70, 5, 13 ]
13
[ "76-70=6", "6-5=1", "13*1=13" ]
Current State: 13:[76, 70, 5, 13], Operations: [] Exploring Operation: 76-70=6, Resulting Numbers: [5, 13, 6] Generated Node #2: [5, 13, 6] from Operation: 76-70=6 Current State: 13:[5, 13, 6], Operations: ['76-70=6'] Exploring Operation: 6-5=1, Resulting Numbers: [13, 1] Generated Node #3: [13, 1] from Operation: 6-5=1 Current State: 13:[13, 1], Operations: ['76-70=6', '6-5=1'] Exploring Operation: 13*1=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 58, 14, 61, 34 ]
88
[ "61-58=3", "34*3=102", "102-14=88" ]
Current State: 88:[58, 14, 61, 34], Operations: [] Exploring Operation: 61-58=3, Resulting Numbers: [14, 34, 3] Generated Node #2: [14, 34, 3] from Operation: 61-58=3 Current State: 88:[14, 34, 3], Operations: ['61-58=3'] Exploring Operation: 34*3=102, Resulting Numbers: [14, 102] Generated Node #3: [14, 102] from Operation: 34*3=102 Current State: 88:[14, 102], Operations: ['61-58=3', '34*3=102'] Exploring Operation: 102-14=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 44, 13, 24, 14 ]
68
[ "44+24=68", "14-13=1", "68*1=68" ]
Current State: 68:[44, 13, 24, 14], Operations: [] Exploring Operation: 44+24=68, Resulting Numbers: [13, 14, 68] Generated Node #2: [13, 14, 68] from Operation: 44+24=68 Current State: 68:[13, 14, 68], Operations: ['44+24=68'] Exploring Operation: 14-13=1, Resulting Numbers: [68, 1] Generated Node #3: [68, 1] from Operation: 14-13=1 Current State: 68:[68, 1], Operations: ['44+24=68', '14-13=1'] Exploring Operation: 68*1=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 52, 54, 35, 67 ]
31
[ "67-54=13", "52/13=4", "35-4=31" ]
Current State: 31:[52, 54, 35, 67], Operations: [] Exploring Operation: 67-54=13, Resulting Numbers: [52, 35, 13] Generated Node #2: [52, 35, 13] from Operation: 67-54=13 Current State: 31:[52, 35, 13], Operations: ['67-54=13'] Exploring Operation: 52/13=4, Resulting Numbers: [35, 4] Generated Node #3: [35, 4] from Operation: 52/13=4 Current State: 31:[35, 4], Operations: ['67-54=13', '52/13=4'] Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 50, 2, 57, 85 ]
76
[ "50-2=48", "85-57=28", "48+28=76" ]
Current State: 76:[50, 2, 57, 85], Operations: [] Exploring Operation: 50-2=48, Resulting Numbers: [57, 85, 48] Generated Node #2: [57, 85, 48] from Operation: 50-2=48 Current State: 76:[57, 85, 48], Operations: ['50-2=48'] Exploring Operation: 85-57=28, Resulting Numbers: [48, 28] Generated Node #3: [48, 28] from Operation: 85-57=28 Current State: 76:[48, 28], Operations: ['50-2=48', '85-57=28'] Exploring Operation: 48+28=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 86, 10, 6, 50 ]
21
[ "86-10=76", "50+76=126", "126/6=21" ]
Current State: 21:[86, 10, 6, 50], Operations: [] Exploring Operation: 86-10=76, Resulting Numbers: [6, 50, 76] Generated Node #2: [6, 50, 76] from Operation: 86-10=76 Current State: 21:[6, 50, 76], Operations: ['86-10=76'] Exploring Operation: 50+76=126, Resulting Numbers: [6, 126] Generated Node #3: [6, 126] from Operation: 50+76=126 Current State: 21:[6, 126], Operations: ['86-10=76', '50+76=126'] Exploring Operation: 126/6=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 71, 80, 2, 33 ]
64
[ "71+33=104", "80/2=40", "104-40=64" ]
Current State: 64:[71, 80, 2, 33], Operations: [] Exploring Operation: 71+33=104, Resulting Numbers: [80, 2, 104] Generated Node #2: [80, 2, 104] from Operation: 71+33=104 Current State: 64:[80, 2, 104], Operations: ['71+33=104'] Exploring Operation: 80/2=40, Resulting Numbers: [104, 40] Generated Node #3: [104, 40] from Operation: 80/2=40 Current State: 64:[104, 40], Operations: ['71+33=104', '80/2=40'] Exploring Operation: 104-40=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 25, 81, 3, 84 ]
66
[ "25+81=106", "106-84=22", "3*22=66" ]
Current State: 66:[25, 81, 3, 84], Operations: [] Exploring Operation: 25+81=106, Resulting Numbers: [3, 84, 106] Generated Node #2: [3, 84, 106] from Operation: 25+81=106 Current State: 66:[3, 84, 106], Operations: ['25+81=106'] Exploring Operation: 106-84=22, Resulting Numbers: [3, 22] Generated Node #3: [3, 22] from Operation: 106-84=22 Current State: 66:[3, 22], Operations: ['25+81=106', '106-84=22'] Exploring Operation: 3*22=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 4, 39, 68, 36 ]
80
[ "68-39=29", "4*29=116", "116-36=80" ]
Current State: 80:[4, 39, 68, 36], Operations: [] Exploring Operation: 68-39=29, Resulting Numbers: [4, 36, 29] Generated Node #2: [4, 36, 29] from Operation: 68-39=29 Current State: 80:[4, 36, 29], Operations: ['68-39=29'] Exploring Operation: 4*29=116, Resulting Numbers: [36, 116] Generated Node #3: [36, 116] from Operation: 4*29=116 Current State: 80:[36, 116], Operations: ['68-39=29', '4*29=116'] Exploring Operation: 116-36=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 14, 3, 72, 23 ]
11
[ "72-14=58", "3*23=69", "69-58=11" ]
Current State: 11:[14, 3, 72, 23], Operations: [] Exploring Operation: 72-14=58, Resulting Numbers: [3, 23, 58] Generated Node #2: [3, 23, 58] from Operation: 72-14=58 Current State: 11:[3, 23, 58], Operations: ['72-14=58'] Exploring Operation: 3*23=69, Resulting Numbers: [58, 69] Generated Node #3: [58, 69] from Operation: 3*23=69 Current State: 11:[58, 69], Operations: ['72-14=58', '3*23=69'] Exploring Operation: 69-58=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 71, 77, 50, 14 ]
58
[ "77-71=6", "50+14=64", "64-6=58" ]
Current State: 58:[71, 77, 50, 14], Operations: [] Exploring Operation: 77-71=6, Resulting Numbers: [50, 14, 6] Generated Node #2: [50, 14, 6] from Operation: 77-71=6 Current State: 58:[50, 14, 6], Operations: ['77-71=6'] Exploring Operation: 50+14=64, Resulting Numbers: [6, 64] Generated Node #3: [6, 64] from Operation: 50+14=64 Current State: 58:[6, 64], Operations: ['77-71=6', '50+14=64'] Exploring Operation: 64-6=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 89, 51, 8, 56 ]
20
[ "89+51=140", "56/8=7", "140/7=20" ]
Current State: 20:[89, 51, 8, 56], Operations: [] Exploring Operation: 89+51=140, Resulting Numbers: [8, 56, 140] Generated Node #2: [8, 56, 140] from Operation: 89+51=140 Current State: 20:[8, 56, 140], Operations: ['89+51=140'] Exploring Operation: 56/8=7, Resulting Numbers: [140, 7] Generated Node #3: [140, 7] from Operation: 56/8=7 Current State: 20:[140, 7], Operations: ['89+51=140', '56/8=7'] Exploring Operation: 140/7=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 55, 50, 47, 4 ]
98
[ "55+47=102", "50*4=200", "200-102=98" ]
Current State: 98:[55, 50, 47, 4], Operations: [] Exploring Operation: 55+47=102, Resulting Numbers: [50, 4, 102] Generated Node #2: [50, 4, 102] from Operation: 55+47=102 Current State: 98:[50, 4, 102], Operations: ['55+47=102'] Exploring Operation: 50*4=200, Resulting Numbers: [102, 200] Generated Node #3: [102, 200] from Operation: 50*4=200 Current State: 98:[102, 200], Operations: ['55+47=102', '50*4=200'] Exploring Operation: 200-102=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 58, 38, 95, 73 ]
73
[ "58+38=96", "96-95=1", "73*1=73" ]
Current State: 73:[58, 38, 95, 73], Operations: [] Exploring Operation: 58+38=96, Resulting Numbers: [95, 73, 96] Generated Node #2: [95, 73, 96] from Operation: 58+38=96 Current State: 73:[95, 73, 96], Operations: ['58+38=96'] Exploring Operation: 96-95=1, Resulting Numbers: [73, 1] Generated Node #3: [73, 1] from Operation: 96-95=1 Current State: 73:[73, 1], Operations: ['58+38=96', '96-95=1'] Exploring Operation: 73*1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 4, 61, 91, 21 ]
13
[ "61-4=57", "91-21=70", "70-57=13" ]
Current State: 13:[4, 61, 91, 21], Operations: [] Exploring Operation: 61-4=57, Resulting Numbers: [91, 21, 57] Generated Node #2: [91, 21, 57] from Operation: 61-4=57 Current State: 13:[91, 21, 57], Operations: ['61-4=57'] Exploring Operation: 91-21=70, Resulting Numbers: [57, 70] Generated Node #3: [57, 70] from Operation: 91-21=70 Current State: 13:[57, 70], Operations: ['61-4=57', '91-21=70'] Exploring Operation: 70-57=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 75, 75, 40, 77 ]
36
[ "75/75=1", "77-40=37", "37-1=36" ]
Current State: 36:[75, 75, 40, 77], Operations: [] Exploring Operation: 75/75=1, Resulting Numbers: [40, 77, 1] Generated Node #2: [40, 77, 1] from Operation: 75/75=1 Current State: 36:[40, 77, 1], Operations: ['75/75=1'] Exploring Operation: 77-40=37, Resulting Numbers: [1, 37] Generated Node #3: [1, 37] from Operation: 77-40=37 Current State: 36:[1, 37], Operations: ['75/75=1', '77-40=37'] Exploring Operation: 37-1=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 3, 62, 15, 41 ]
76
[ "3*41=123", "62-15=47", "123-47=76" ]
Current State: 76:[3, 62, 15, 41], Operations: [] Exploring Operation: 3*41=123, Resulting Numbers: [62, 15, 123] Generated Node #2: [62, 15, 123] from Operation: 3*41=123 Current State: 76:[62, 15, 123], Operations: ['3*41=123'] Exploring Operation: 62-15=47, Resulting Numbers: [123, 47] Generated Node #3: [123, 47] from Operation: 62-15=47 Current State: 76:[123, 47], Operations: ['3*41=123', '62-15=47'] Exploring Operation: 123-47=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 7, 4, 82, 20 ]
34
[ "7*4=28", "82-20=62", "62-28=34" ]
Current State: 34:[7, 4, 82, 20], Operations: [] Exploring Operation: 7*4=28, Resulting Numbers: [82, 20, 28] Generated Node #2: [82, 20, 28] from Operation: 7*4=28 Current State: 34:[82, 20, 28], Operations: ['7*4=28'] Exploring Operation: 82-20=62, Resulting Numbers: [28, 62] Generated Node #3: [28, 62] from Operation: 82-20=62 Current State: 34:[28, 62], Operations: ['7*4=28', '82-20=62'] Exploring Operation: 62-28=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 24, 7, 15, 72 ]
88
[ "24+7=31", "72-15=57", "31+57=88" ]
Current State: 88:[24, 7, 15, 72], Operations: [] Exploring Operation: 24+7=31, Resulting Numbers: [15, 72, 31] Generated Node #2: [15, 72, 31] from Operation: 24+7=31 Current State: 88:[15, 72, 31], Operations: ['24+7=31'] Exploring Operation: 72-15=57, Resulting Numbers: [31, 57] Generated Node #3: [31, 57] from Operation: 72-15=57 Current State: 88:[31, 57], Operations: ['24+7=31', '72-15=57'] Exploring Operation: 31+57=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 7, 88, 55, 9 ]
66
[ "9-7=2", "88-55=33", "2*33=66" ]
Current State: 66:[7, 88, 55, 9], Operations: [] Exploring Operation: 9-7=2, Resulting Numbers: [88, 55, 2] Generated Node #2: [88, 55, 2] from Operation: 9-7=2 Current State: 66:[88, 55, 2], Operations: ['9-7=2'] Exploring Operation: 88-55=33, Resulting Numbers: [2, 33] Generated Node #3: [2, 33] from Operation: 88-55=33 Current State: 66:[2, 33], Operations: ['9-7=2', '88-55=33'] Exploring Operation: 2*33=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 41, 30, 11, 80 ]
19
[ "41+80=121", "121/11=11", "30-11=19" ]
Current State: 19:[41, 30, 11, 80], Operations: [] Exploring Operation: 41+80=121, Resulting Numbers: [30, 11, 121] Generated Node #2: [30, 11, 121] from Operation: 41+80=121 Current State: 19:[30, 11, 121], Operations: ['41+80=121'] Exploring Operation: 121/11=11, Resulting Numbers: [30, 11] Generated Node #3: [30, 11] from Operation: 121/11=11 Current State: 19:[30, 11], Operations: ['41+80=121', '121/11=11'] Exploring Operation: 30-11=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 44, 53, 55, 61 ]
88
[ "55-44=11", "61-53=8", "11*8=88" ]
Current State: 88:[44, 53, 55, 61], Operations: [] Exploring Operation: 55-44=11, Resulting Numbers: [53, 61, 11] Generated Node #2: [53, 61, 11] from Operation: 55-44=11 Current State: 88:[53, 61, 11], Operations: ['55-44=11'] Exploring Operation: 61-53=8, Resulting Numbers: [11, 8] Generated Node #3: [11, 8] from Operation: 61-53=8 Current State: 88:[11, 8], Operations: ['55-44=11', '61-53=8'] Exploring Operation: 11*8=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 35, 74, 61, 8 ]
62
[ "35+61=96", "96/8=12", "74-12=62" ]
Current State: 62:[35, 74, 61, 8], Operations: [] Exploring Operation: 35+61=96, Resulting Numbers: [74, 8, 96] Generated Node #2: [74, 8, 96] from Operation: 35+61=96 Current State: 62:[74, 8, 96], Operations: ['35+61=96'] Exploring Operation: 96/8=12, Resulting Numbers: [74, 12] Generated Node #3: [74, 12] from Operation: 96/8=12 Current State: 62:[74, 12], Operations: ['35+61=96', '96/8=12'] Exploring Operation: 74-12=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 82, 2, 3, 48 ]
42
[ "2*48=96", "96-82=14", "3*14=42" ]
Current State: 42:[82, 2, 3, 48], Operations: [] Exploring Operation: 2*48=96, Resulting Numbers: [82, 3, 96] Generated Node #2: [82, 3, 96] from Operation: 2*48=96 Current State: 42:[82, 3, 96], Operations: ['2*48=96'] Exploring Operation: 96-82=14, Resulting Numbers: [3, 14] Generated Node #3: [3, 14] from Operation: 96-82=14 Current State: 42:[3, 14], Operations: ['2*48=96', '96-82=14'] Exploring Operation: 3*14=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 17, 50, 12, 11 ]
90
[ "17+50=67", "12+11=23", "67+23=90" ]
Current State: 90:[17, 50, 12, 11], Operations: [] Exploring Operation: 17+50=67, Resulting Numbers: [12, 11, 67] Generated Node #2: [12, 11, 67] from Operation: 17+50=67 Current State: 90:[12, 11, 67], Operations: ['17+50=67'] Exploring Operation: 12+11=23, Resulting Numbers: [67, 23] Generated Node #3: [67, 23] from Operation: 12+11=23 Current State: 90:[67, 23], Operations: ['17+50=67', '12+11=23'] Exploring Operation: 67+23=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 46, 44, 69, 78 ]
87
[ "46-44=2", "78*2=156", "156-69=87" ]
Current State: 87:[46, 44, 69, 78], Operations: [] Exploring Operation: 46-44=2, Resulting Numbers: [69, 78, 2] Generated Node #2: [69, 78, 2] from Operation: 46-44=2 Current State: 87:[69, 78, 2], Operations: ['46-44=2'] Exploring Operation: 78*2=156, Resulting Numbers: [69, 156] Generated Node #3: [69, 156] from Operation: 78*2=156 Current State: 87:[69, 156], Operations: ['46-44=2', '78*2=156'] Exploring Operation: 156-69=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 98, 21, 82, 14 ]
19
[ "98-21=77", "82+14=96", "96-77=19" ]
Current State: 19:[98, 21, 82, 14], Operations: [] Exploring Operation: 98-21=77, Resulting Numbers: [82, 14, 77] Generated Node #2: [82, 14, 77] from Operation: 98-21=77 Current State: 19:[82, 14, 77], Operations: ['98-21=77'] Exploring Operation: 82+14=96, Resulting Numbers: [77, 96] Generated Node #3: [77, 96] from Operation: 82+14=96 Current State: 19:[77, 96], Operations: ['98-21=77', '82+14=96'] Exploring Operation: 96-77=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 36, 31, 4, 90 ]
19
[ "36+31=67", "90-4=86", "86-67=19" ]
Current State: 19:[36, 31, 4, 90], Operations: [] Exploring Operation: 36+31=67, Resulting Numbers: [4, 90, 67] Generated Node #2: [4, 90, 67] from Operation: 36+31=67 Current State: 19:[4, 90, 67], Operations: ['36+31=67'] Exploring Operation: 90-4=86, Resulting Numbers: [67, 86] Generated Node #3: [67, 86] from Operation: 90-4=86 Current State: 19:[67, 86], Operations: ['36+31=67', '90-4=86'] Exploring Operation: 86-67=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 77, 82, 39, 32 ]
12
[ "82-77=5", "39-32=7", "5+7=12" ]
Current State: 12:[77, 82, 39, 32], Operations: [] Exploring Operation: 82-77=5, Resulting Numbers: [39, 32, 5] Generated Node #2: [39, 32, 5] from Operation: 82-77=5 Current State: 12:[39, 32, 5], Operations: ['82-77=5'] Exploring Operation: 39-32=7, Resulting Numbers: [5, 7] Generated Node #3: [5, 7] from Operation: 39-32=7 Current State: 12:[5, 7], Operations: ['82-77=5', '39-32=7'] Exploring Operation: 5+7=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 50, 61, 56, 11 ]
57
[ "61-50=11", "11/11=1", "56+1=57" ]
Current State: 57:[50, 61, 56, 11], Operations: [] Exploring Operation: 61-50=11, Resulting Numbers: [56, 11, 11] Generated Node #2: [56, 11, 11] from Operation: 61-50=11 Current State: 57:[56, 11, 11], Operations: ['61-50=11'] Exploring Operation: 11/11=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 11/11=1 Current State: 57:[56, 1], Operations: ['61-50=11', '11/11=1'] Exploring Operation: 56+1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 30, 14, 90, 1 ]
73
[ "30-14=16", "90-1=89", "89-16=73" ]
Current State: 73:[30, 14, 90, 1], Operations: [] Exploring Operation: 30-14=16, Resulting Numbers: [90, 1, 16] Generated Node #2: [90, 1, 16] from Operation: 30-14=16 Current State: 73:[90, 1, 16], Operations: ['30-14=16'] Exploring Operation: 90-1=89, Resulting Numbers: [16, 89] Generated Node #3: [16, 89] from Operation: 90-1=89 Current State: 73:[16, 89], Operations: ['30-14=16', '90-1=89'] Exploring Operation: 89-16=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 10, 6, 24, 31 ]
51
[ "10-6=4", "24+31=55", "55-4=51" ]
Current State: 51:[10, 6, 24, 31], Operations: [] Exploring Operation: 10-6=4, Resulting Numbers: [24, 31, 4] Generated Node #2: [24, 31, 4] from Operation: 10-6=4 Current State: 51:[24, 31, 4], Operations: ['10-6=4'] Exploring Operation: 24+31=55, Resulting Numbers: [4, 55] Generated Node #3: [4, 55] from Operation: 24+31=55 Current State: 51:[4, 55], Operations: ['10-6=4', '24+31=55'] Exploring Operation: 55-4=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 78, 59, 69, 15 ]
72
[ "69-59=10", "15*10=150", "150-78=72" ]
Current State: 72:[78, 59, 69, 15], Operations: [] Exploring Operation: 69-59=10, Resulting Numbers: [78, 15, 10] Generated Node #2: [78, 15, 10] from Operation: 69-59=10 Current State: 72:[78, 15, 10], Operations: ['69-59=10'] Exploring Operation: 15*10=150, Resulting Numbers: [78, 150] Generated Node #3: [78, 150] from Operation: 15*10=150 Current State: 72:[78, 150], Operations: ['69-59=10', '15*10=150'] Exploring Operation: 150-78=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 81, 11, 63, 2 ]
17
[ "81+11=92", "92/2=46", "63-46=17" ]
Current State: 17:[81, 11, 63, 2], Operations: [] Exploring Operation: 81+11=92, Resulting Numbers: [63, 2, 92] Generated Node #2: [63, 2, 92] from Operation: 81+11=92 Current State: 17:[63, 2, 92], Operations: ['81+11=92'] Exploring Operation: 92/2=46, Resulting Numbers: [63, 46] Generated Node #3: [63, 46] from Operation: 92/2=46 Current State: 17:[63, 46], Operations: ['81+11=92', '92/2=46'] Exploring Operation: 63-46=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 17, 32, 22, 58 ]
85
[ "17+32=49", "58-22=36", "49+36=85" ]
Current State: 85:[17, 32, 22, 58], Operations: [] Exploring Operation: 17+32=49, Resulting Numbers: [22, 58, 49] Generated Node #2: [22, 58, 49] from Operation: 17+32=49 Current State: 85:[22, 58, 49], Operations: ['17+32=49'] Exploring Operation: 58-22=36, Resulting Numbers: [49, 36] Generated Node #3: [49, 36] from Operation: 58-22=36 Current State: 85:[49, 36], Operations: ['17+32=49', '58-22=36'] Exploring Operation: 49+36=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 3, 4, 25, 99 ]
93
[ "25+99=124", "3*124=372", "372/4=93" ]
Current State: 93:[3, 4, 25, 99], Operations: [] Exploring Operation: 25+99=124, Resulting Numbers: [3, 4, 124] Generated Node #2: [3, 4, 124] from Operation: 25+99=124 Current State: 93:[3, 4, 124], Operations: ['25+99=124'] Exploring Operation: 3*124=372, Resulting Numbers: [4, 372] Generated Node #3: [4, 372] from Operation: 3*124=372 Current State: 93:[4, 372], Operations: ['25+99=124', '3*124=372'] Exploring Operation: 372/4=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 47, 47, 52, 52 ]
47
[ "52-52=0", "47*0=0", "47+0=47" ]
Current State: 47:[47, 47, 52, 52], Operations: [] Exploring Operation: 52-52=0, Resulting Numbers: [47, 47, 0] Generated Node #2: [47, 47, 0] from Operation: 52-52=0 Current State: 47:[47, 47, 0], Operations: ['52-52=0'] Exploring Operation: 47*0=0, Resulting Numbers: [0] 0,47 equal: Goal Reached Exploring Operation: 47+0=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 23, 9, 18, 58 ]
37
[ "58-23=35", "18/9=2", "35+2=37" ]
Current State: 37:[23, 9, 18, 58], Operations: [] Exploring Operation: 58-23=35, Resulting Numbers: [9, 18, 35] Generated Node #2: [9, 18, 35] from Operation: 58-23=35 Current State: 37:[9, 18, 35], Operations: ['58-23=35'] Exploring Operation: 18/9=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 18/9=2 Current State: 37:[35, 2], Operations: ['58-23=35', '18/9=2'] Exploring Operation: 35+2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 30, 15, 62, 86 ]
22
[ "30/15=2", "86-62=24", "24-2=22" ]
Current State: 22:[30, 15, 62, 86], Operations: [] Exploring Operation: 30/15=2, Resulting Numbers: [62, 86, 2] Generated Node #2: [62, 86, 2] from Operation: 30/15=2 Current State: 22:[62, 86, 2], Operations: ['30/15=2'] Exploring Operation: 86-62=24, Resulting Numbers: [2, 24] Generated Node #3: [2, 24] from Operation: 86-62=24 Current State: 22:[2, 24], Operations: ['30/15=2', '86-62=24'] Exploring Operation: 24-2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4