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
[ 86, 9, 68, 87 ]
59
[ "87-86=1", "68-9=59", "1*59=59" ]
Current State: 59:[86, 9, 68, 87], Operations: [] Exploring Operation: 87-86=1, Resulting Numbers: [9, 68, 1] Generated Node #2: [9, 68, 1] from Operation: 87-86=1 Current State: 59:[9, 68, 1], Operations: ['87-86=1'] Exploring Operation: 68-9=59, Resulting Numbers: [1, 59] Generated Node #3: [1, 59] from Operation: 68-9=59 Current State: 59:[1, 59], Operations: ['87-86=1', '68-9=59'] Exploring Operation: 1*59=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 74, 36, 71, 11 ]
22
[ "74-36=38", "71-11=60", "60-38=22" ]
Current State: 22:[74, 36, 71, 11], Operations: [] Exploring Operation: 74-36=38, Resulting Numbers: [71, 11, 38] Generated Node #2: [71, 11, 38] from Operation: 74-36=38 Current State: 22:[71, 11, 38], Operations: ['74-36=38'] Exploring Operation: 71-11=60, Resulting Numbers: [38, 60] Generated Node #3: [38, 60] from Operation: 71-11=60 Current State: 22:[38, 60], Operations: ['74-36=38', '71-11=60'] Exploring Operation: 60-38=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 43, 34, 49, 49 ]
90
[ "49-43=6", "49-34=15", "6*15=90" ]
Current State: 90:[43, 34, 49, 49], Operations: [] Exploring Operation: 49-43=6, Resulting Numbers: [34, 6] Generated Node #2: [34, 6] from Operation: 49-43=6 Current State: 90:[34, 6], Operations: ['49-43=6'] Exploring Operation: 49-34=15, Resulting Numbers: [6, 15] Generated Node #3: [6, 15] from Operation: 49-34=15 Current State: 90:[6, 15], Operations: ['49-43=6', '49-34=15'] Exploring Operation: 6*15=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 34, 57, 41, 34 ]
15
[ "34/34=1", "57-41=16", "16-1=15" ]
Current State: 15:[34, 57, 41, 34], Operations: [] Exploring Operation: 34/34=1, Resulting Numbers: [57, 41, 1] Generated Node #2: [57, 41, 1] from Operation: 34/34=1 Current State: 15:[57, 41, 1], Operations: ['34/34=1'] Exploring Operation: 57-41=16, Resulting Numbers: [1, 16] Generated Node #3: [1, 16] from Operation: 57-41=16 Current State: 15:[1, 16], Operations: ['34/34=1', '57-41=16'] Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 70, 33, 2, 69 ]
86
[ "70+33=103", "69+103=172", "172/2=86" ]
Current State: 86:[70, 33, 2, 69], Operations: [] Exploring Operation: 70+33=103, Resulting Numbers: [2, 69, 103] Generated Node #2: [2, 69, 103] from Operation: 70+33=103 Current State: 86:[2, 69, 103], Operations: ['70+33=103'] Exploring Operation: 69+103=172, Resulting Numbers: [2, 172] Generated Node #3: [2, 172] from Operation: 69+103=172 Current State: 86:[2, 172], Operations: ['70+33=103', '69+103=172'] Exploring Operation: 172/2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 66, 44, 60, 22 ]
96
[ "44/22=2", "60/2=30", "66+30=96" ]
Current State: 96:[66, 44, 60, 22], Operations: [] Exploring Operation: 44/22=2, Resulting Numbers: [66, 60, 2] Generated Node #2: [66, 60, 2] from Operation: 44/22=2 Current State: 96:[66, 60, 2], Operations: ['44/22=2'] Exploring Operation: 60/2=30, Resulting Numbers: [66, 30] Generated Node #3: [66, 30] from Operation: 60/2=30 Current State: 96:[66, 30], Operations: ['44/22=2', '60/2=30'] Exploring Operation: 66+30=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 4, 53, 43, 71 ]
46
[ "71-43=28", "28/4=7", "53-7=46" ]
Current State: 46:[4, 53, 43, 71], Operations: [] Exploring Operation: 71-43=28, Resulting Numbers: [4, 53, 28] Generated Node #2: [4, 53, 28] from Operation: 71-43=28 Current State: 46:[4, 53, 28], Operations: ['71-43=28'] Exploring Operation: 28/4=7, Resulting Numbers: [53, 7] Generated Node #3: [53, 7] from Operation: 28/4=7 Current State: 46:[53, 7], Operations: ['71-43=28', '28/4=7'] Exploring Operation: 53-7=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 39, 14, 4, 17 ]
46
[ "39-14=25", "4+17=21", "25+21=46" ]
Current State: 46:[39, 14, 4, 17], Operations: [] Exploring Operation: 39-14=25, Resulting Numbers: [4, 17, 25] Generated Node #2: [4, 17, 25] from Operation: 39-14=25 Current State: 46:[4, 17, 25], Operations: ['39-14=25'] Exploring Operation: 4+17=21, Resulting Numbers: [25, 21] Generated Node #3: [25, 21] from Operation: 4+17=21 Current State: 46:[25, 21], Operations: ['39-14=25', '4+17=21'] Exploring Operation: 25+21=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 48, 55, 44, 60 ]
96
[ "44*60=2640", "2640/55=48", "48+48=96" ]
Current State: 96:[48, 55, 44, 60], Operations: [] Exploring Operation: 44*60=2640, Resulting Numbers: [48, 55, 2640] Generated Node #2: [48, 55, 2640] from Operation: 44*60=2640 Current State: 96:[48, 55, 2640], Operations: ['44*60=2640'] Exploring Operation: 2640/55=48, Resulting Numbers: [48, 48] Generated Node #3: [48, 48] from Operation: 2640/55=48 Current State: 96:[48, 48], Operations: ['44*60=2640', '2640/55=48'] Exploring Operation: 48+48=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 23, 14, 24, 32 ]
92
[ "24+32=56", "23*56=1288", "1288/14=92" ]
Current State: 92:[23, 14, 24, 32], Operations: [] Exploring Operation: 24+32=56, Resulting Numbers: [23, 14, 56] Generated Node #2: [23, 14, 56] from Operation: 24+32=56 Current State: 92:[23, 14, 56], Operations: ['24+32=56'] Exploring Operation: 23*56=1288, Resulting Numbers: [14, 1288] Generated Node #3: [14, 1288] from Operation: 23*56=1288 Current State: 92:[14, 1288], Operations: ['24+32=56', '23*56=1288'] Exploring Operation: 1288/14=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 98, 10, 74, 55 ]
41
[ "98-10=88", "74+55=129", "129-88=41" ]
Current State: 41:[98, 10, 74, 55], Operations: [] Exploring Operation: 98-10=88, Resulting Numbers: [74, 55, 88] Generated Node #2: [74, 55, 88] from Operation: 98-10=88 Current State: 41:[74, 55, 88], Operations: ['98-10=88'] Exploring Operation: 74+55=129, Resulting Numbers: [88, 129] Generated Node #3: [88, 129] from Operation: 74+55=129 Current State: 41:[88, 129], Operations: ['98-10=88', '74+55=129'] Exploring Operation: 129-88=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 30, 84, 48, 11 ]
42
[ "84+48=132", "132/11=12", "30+12=42" ]
Current State: 42:[30, 84, 48, 11], Operations: [] Exploring Operation: 84+48=132, Resulting Numbers: [30, 11, 132] Generated Node #2: [30, 11, 132] from Operation: 84+48=132 Current State: 42:[30, 11, 132], Operations: ['84+48=132'] Exploring Operation: 132/11=12, Resulting Numbers: [30, 12] Generated Node #3: [30, 12] from Operation: 132/11=12 Current State: 42:[30, 12], Operations: ['84+48=132', '132/11=12'] Exploring Operation: 30+12=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 40, 30, 14, 44 ]
86
[ "44-40=4", "14*4=56", "30+56=86" ]
Current State: 86:[40, 30, 14, 44], Operations: [] Exploring Operation: 44-40=4, Resulting Numbers: [30, 14, 4] Generated Node #2: [30, 14, 4] from Operation: 44-40=4 Current State: 86:[30, 14, 4], Operations: ['44-40=4'] Exploring Operation: 14*4=56, Resulting Numbers: [30, 56] Generated Node #3: [30, 56] from Operation: 14*4=56 Current State: 86:[30, 56], Operations: ['44-40=4', '14*4=56'] Exploring Operation: 30+56=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 57, 6, 72, 57 ]
65
[ "57/57=1", "72-6=66", "66-1=65" ]
Current State: 65:[57, 6, 72, 57], Operations: [] Exploring Operation: 57/57=1, Resulting Numbers: [6, 72, 1] Generated Node #2: [6, 72, 1] from Operation: 57/57=1 Current State: 65:[6, 72, 1], Operations: ['57/57=1'] Exploring Operation: 72-6=66, Resulting Numbers: [1, 66] Generated Node #3: [1, 66] from Operation: 72-6=66 Current State: 65:[1, 66], Operations: ['57/57=1', '72-6=66'] Exploring Operation: 66-1=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 48, 96, 3, 12 ]
39
[ "96-48=48", "12-3=9", "48-9=39" ]
Current State: 39:[48, 96, 3, 12], Operations: [] Exploring Operation: 96-48=48, Resulting Numbers: [3, 12, 48] Generated Node #2: [3, 12, 48] from Operation: 96-48=48 Current State: 39:[3, 12, 48], Operations: ['96-48=48'] Exploring Operation: 12-3=9, Resulting Numbers: [48, 9] Generated Node #3: [48, 9] from Operation: 12-3=9 Current State: 39:[48, 9], Operations: ['96-48=48', '12-3=9'] Exploring Operation: 48-9=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 73, 9, 45, 55 ]
17
[ "55-45=10", "9*10=90", "90-73=17" ]
Current State: 17:[73, 9, 45, 55], Operations: [] Exploring Operation: 55-45=10, Resulting Numbers: [73, 9, 10] Generated Node #2: [73, 9, 10] from Operation: 55-45=10 Current State: 17:[73, 9, 10], Operations: ['55-45=10'] Exploring Operation: 9*10=90, Resulting Numbers: [73, 90] Generated Node #3: [73, 90] from Operation: 9*10=90 Current State: 17:[73, 90], Operations: ['55-45=10', '9*10=90'] Exploring Operation: 90-73=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 99, 25, 51, 54 ]
75
[ "99+54=153", "25*153=3825", "3825/51=75" ]
Current State: 75:[99, 25, 51, 54], Operations: [] Exploring Operation: 99+54=153, Resulting Numbers: [25, 51, 153] Generated Node #2: [25, 51, 153] from Operation: 99+54=153 Current State: 75:[25, 51, 153], Operations: ['99+54=153'] Exploring Operation: 25*153=3825, Resulting Numbers: [51, 3825] Generated Node #3: [51, 3825] from Operation: 25*153=3825 Current State: 75:[51, 3825], Operations: ['99+54=153', '25*153=3825'] Exploring Operation: 3825/51=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 46, 27, 73, 69 ]
23
[ "46-27=19", "73-69=4", "19+4=23" ]
Current State: 23:[46, 27, 73, 69], Operations: [] Exploring Operation: 46-27=19, Resulting Numbers: [73, 69, 19] Generated Node #2: [73, 69, 19] from Operation: 46-27=19 Current State: 23:[73, 69, 19], Operations: ['46-27=19'] Exploring Operation: 73-69=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 73-69=4 Current State: 23:[19, 4], Operations: ['46-27=19', '73-69=4'] Exploring Operation: 19+4=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 2, 8, 21, 60 ]
91
[ "2+8=10", "21+60=81", "10+81=91" ]
Current State: 91:[2, 8, 21, 60], Operations: [] Exploring Operation: 2+8=10, Resulting Numbers: [21, 60, 10] Generated Node #2: [21, 60, 10] from Operation: 2+8=10 Current State: 91:[21, 60, 10], Operations: ['2+8=10'] Exploring Operation: 21+60=81, Resulting Numbers: [10, 81] Generated Node #3: [10, 81] from Operation: 21+60=81 Current State: 91:[10, 81], Operations: ['2+8=10', '21+60=81'] Exploring Operation: 10+81=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 25, 30, 20, 12 ]
45
[ "25*12=300", "300/20=15", "30+15=45" ]
Current State: 45:[25, 30, 20, 12], Operations: [] Exploring Operation: 25*12=300, Resulting Numbers: [30, 20, 300] Generated Node #2: [30, 20, 300] from Operation: 25*12=300 Current State: 45:[30, 20, 300], Operations: ['25*12=300'] Exploring Operation: 300/20=15, Resulting Numbers: [30, 15] Generated Node #3: [30, 15] from Operation: 300/20=15 Current State: 45:[30, 15], Operations: ['25*12=300', '300/20=15'] Exploring Operation: 30+15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 3, 47, 6, 40 ]
25
[ "3*6=18", "47-40=7", "18+7=25" ]
Current State: 25:[3, 47, 6, 40], Operations: [] Exploring Operation: 3*6=18, Resulting Numbers: [47, 40, 18] Generated Node #2: [47, 40, 18] from Operation: 3*6=18 Current State: 25:[47, 40, 18], Operations: ['3*6=18'] Exploring Operation: 47-40=7, Resulting Numbers: [18, 7] Generated Node #3: [18, 7] from Operation: 47-40=7 Current State: 25:[18, 7], Operations: ['3*6=18', '47-40=7'] Exploring Operation: 18+7=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 9, 71, 42, 69 ]
30
[ "71+69=140", "9*140=1260", "1260/42=30" ]
Current State: 30:[9, 71, 42, 69], Operations: [] Exploring Operation: 71+69=140, Resulting Numbers: [9, 42, 140] Generated Node #2: [9, 42, 140] from Operation: 71+69=140 Current State: 30:[9, 42, 140], Operations: ['71+69=140'] Exploring Operation: 9*140=1260, Resulting Numbers: [42, 1260] Generated Node #3: [42, 1260] from Operation: 9*140=1260 Current State: 30:[42, 1260], Operations: ['71+69=140', '9*140=1260'] Exploring Operation: 1260/42=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 69, 46, 96, 4 ]
15
[ "69+46=115", "96+4=100", "115-100=15" ]
Current State: 15:[69, 46, 96, 4], Operations: [] Exploring Operation: 69+46=115, Resulting Numbers: [96, 4, 115] Generated Node #2: [96, 4, 115] from Operation: 69+46=115 Current State: 15:[96, 4, 115], Operations: ['69+46=115'] Exploring Operation: 96+4=100, Resulting Numbers: [115, 100] Generated Node #3: [115, 100] from Operation: 96+4=100 Current State: 15:[115, 100], Operations: ['69+46=115', '96+4=100'] Exploring Operation: 115-100=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 74, 80, 2, 88 ]
100
[ "80-74=6", "2*6=12", "88+12=100" ]
Current State: 100:[74, 80, 2, 88], Operations: [] Exploring Operation: 80-74=6, Resulting Numbers: [2, 88, 6] Generated Node #2: [2, 88, 6] from Operation: 80-74=6 Current State: 100:[2, 88, 6], Operations: ['80-74=6'] Exploring Operation: 2*6=12, Resulting Numbers: [88, 12] Generated Node #3: [88, 12] from Operation: 2*6=12 Current State: 100:[88, 12], Operations: ['80-74=6', '2*6=12'] Exploring Operation: 88+12=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 69, 91, 41, 44 ]
75
[ "69+91=160", "41+44=85", "160-85=75" ]
Current State: 75:[69, 91, 41, 44], Operations: [] Exploring Operation: 69+91=160, Resulting Numbers: [41, 44, 160] Generated Node #2: [41, 44, 160] from Operation: 69+91=160 Current State: 75:[41, 44, 160], Operations: ['69+91=160'] Exploring Operation: 41+44=85, Resulting Numbers: [160, 85] Generated Node #3: [160, 85] from Operation: 41+44=85 Current State: 75:[160, 85], Operations: ['69+91=160', '41+44=85'] Exploring Operation: 160-85=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 81, 12, 78, 85 ]
86
[ "81+12=93", "85-78=7", "93-7=86" ]
Current State: 86:[81, 12, 78, 85], Operations: [] Exploring Operation: 81+12=93, Resulting Numbers: [78, 85, 93] Generated Node #2: [78, 85, 93] from Operation: 81+12=93 Current State: 86:[78, 85, 93], Operations: ['81+12=93'] Exploring Operation: 85-78=7, Resulting Numbers: [93, 7] Generated Node #3: [93, 7] from Operation: 85-78=7 Current State: 86:[93, 7], Operations: ['81+12=93', '85-78=7'] Exploring Operation: 93-7=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 2, 90, 60, 66 ]
86
[ "2+90=92", "66-60=6", "92-6=86" ]
Current State: 86:[2, 90, 60, 66], Operations: [] Exploring Operation: 2+90=92, Resulting Numbers: [60, 66, 92] Generated Node #2: [60, 66, 92] from Operation: 2+90=92 Current State: 86:[60, 66, 92], Operations: ['2+90=92'] Exploring Operation: 66-60=6, Resulting Numbers: [92, 6] Generated Node #3: [92, 6] from Operation: 66-60=6 Current State: 86:[92, 6], Operations: ['2+90=92', '66-60=6'] Exploring Operation: 92-6=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 36, 31, 3, 48 ]
83
[ "36+31=67", "48/3=16", "67+16=83" ]
Current State: 83:[36, 31, 3, 48], Operations: [] Exploring Operation: 36+31=67, Resulting Numbers: [3, 48, 67] Generated Node #2: [3, 48, 67] from Operation: 36+31=67 Current State: 83:[3, 48, 67], Operations: ['36+31=67'] Exploring Operation: 48/3=16, Resulting Numbers: [67, 16] Generated Node #3: [67, 16] from Operation: 48/3=16 Current State: 83:[67, 16], Operations: ['36+31=67', '48/3=16'] Exploring Operation: 67+16=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 33, 14, 90, 45 ]
40
[ "14*45=630", "630/90=7", "33+7=40" ]
Current State: 40:[33, 14, 90, 45], Operations: [] Exploring Operation: 14*45=630, Resulting Numbers: [33, 90, 630] Generated Node #2: [33, 90, 630] from Operation: 14*45=630 Current State: 40:[33, 90, 630], Operations: ['14*45=630'] Exploring Operation: 630/90=7, Resulting Numbers: [33, 7] Generated Node #3: [33, 7] from Operation: 630/90=7 Current State: 40:[33, 7], Operations: ['14*45=630', '630/90=7'] Exploring Operation: 33+7=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 49, 95, 10, 26 ]
17
[ "49+95=144", "26+144=170", "170/10=17" ]
Current State: 17:[49, 95, 10, 26], Operations: [] Exploring Operation: 49+95=144, Resulting Numbers: [10, 26, 144] Generated Node #2: [10, 26, 144] from Operation: 49+95=144 Current State: 17:[10, 26, 144], Operations: ['49+95=144'] Exploring Operation: 26+144=170, Resulting Numbers: [10, 170] Generated Node #3: [10, 170] from Operation: 26+144=170 Current State: 17:[10, 170], Operations: ['49+95=144', '26+144=170'] Exploring Operation: 170/10=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 80, 29, 28, 66 ]
43
[ "80-29=51", "28+66=94", "94-51=43" ]
Current State: 43:[80, 29, 28, 66], Operations: [] Exploring Operation: 80-29=51, Resulting Numbers: [28, 66, 51] Generated Node #2: [28, 66, 51] from Operation: 80-29=51 Current State: 43:[28, 66, 51], Operations: ['80-29=51'] Exploring Operation: 28+66=94, Resulting Numbers: [51, 94] Generated Node #3: [51, 94] from Operation: 28+66=94 Current State: 43:[51, 94], Operations: ['80-29=51', '28+66=94'] Exploring Operation: 94-51=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 54, 11, 53, 19 ]
30
[ "54-53=1", "11+19=30", "1*30=30" ]
Current State: 30:[54, 11, 53, 19], Operations: [] Exploring Operation: 54-53=1, Resulting Numbers: [11, 19, 1] Generated Node #2: [11, 19, 1] from Operation: 54-53=1 Current State: 30:[11, 19, 1], Operations: ['54-53=1'] Exploring Operation: 11+19=30, Resulting Numbers: [1, 30] Generated Node #3: [1, 30] from Operation: 11+19=30 Current State: 30:[1, 30], Operations: ['54-53=1', '11+19=30'] Exploring Operation: 1*30=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 88, 2, 15, 6 ]
76
[ "88-15=73", "6/2=3", "73+3=76" ]
Current State: 76:[88, 2, 15, 6], Operations: [] Exploring Operation: 88-15=73, Resulting Numbers: [2, 6, 73] Generated Node #2: [2, 6, 73] from Operation: 88-15=73 Current State: 76:[2, 6, 73], Operations: ['88-15=73'] Exploring Operation: 6/2=3, Resulting Numbers: [73, 3] Generated Node #3: [73, 3] from Operation: 6/2=3 Current State: 76:[73, 3], Operations: ['88-15=73', '6/2=3'] Exploring Operation: 73+3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 60, 23, 88, 46 ]
32
[ "60*46=2760", "2760/23=120", "120-88=32" ]
Current State: 32:[60, 23, 88, 46], Operations: [] Exploring Operation: 60*46=2760, Resulting Numbers: [23, 88, 2760] Generated Node #2: [23, 88, 2760] from Operation: 60*46=2760 Current State: 32:[23, 88, 2760], Operations: ['60*46=2760'] Exploring Operation: 2760/23=120, Resulting Numbers: [88, 120] Generated Node #3: [88, 120] from Operation: 2760/23=120 Current State: 32:[88, 120], Operations: ['60*46=2760', '2760/23=120'] Exploring Operation: 120-88=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 17, 83, 46, 83 ]
64
[ "17+46=63", "83/83=1", "63+1=64" ]
Current State: 64:[17, 83, 46, 83], Operations: [] Exploring Operation: 17+46=63, Resulting Numbers: [83, 83, 63] Generated Node #2: [83, 83, 63] from Operation: 17+46=63 Current State: 64:[83, 83, 63], Operations: ['17+46=63'] Exploring Operation: 83/83=1, Resulting Numbers: [63, 1] Generated Node #3: [63, 1] from Operation: 83/83=1 Current State: 64:[63, 1], Operations: ['17+46=63', '83/83=1'] Exploring Operation: 63+1=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 16, 98, 48, 6 ]
100
[ "48/16=3", "6/3=2", "98+2=100" ]
Current State: 100:[16, 98, 48, 6], Operations: [] Exploring Operation: 48/16=3, Resulting Numbers: [98, 6, 3] Generated Node #2: [98, 6, 3] from Operation: 48/16=3 Current State: 100:[98, 6, 3], Operations: ['48/16=3'] Exploring Operation: 6/3=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 6/3=2 Current State: 100:[98, 2], Operations: ['48/16=3', '6/3=2'] Exploring Operation: 98+2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 78, 67, 11, 59 ]
10
[ "67-59=8", "11*8=88", "88-78=10" ]
Current State: 10:[78, 67, 11, 59], Operations: [] Exploring Operation: 67-59=8, Resulting Numbers: [78, 11, 8] Generated Node #2: [78, 11, 8] from Operation: 67-59=8 Current State: 10:[78, 11, 8], Operations: ['67-59=8'] Exploring Operation: 11*8=88, Resulting Numbers: [78, 88] Generated Node #3: [78, 88] from Operation: 11*8=88 Current State: 10:[78, 88], Operations: ['67-59=8', '11*8=88'] Exploring Operation: 88-78=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 9, 6, 38, 2 ]
94
[ "9*6=54", "38+2=40", "54+40=94" ]
Current State: 94:[9, 6, 38, 2], Operations: [] Exploring Operation: 9*6=54, Resulting Numbers: [38, 2, 54] Generated Node #2: [38, 2, 54] from Operation: 9*6=54 Current State: 94:[38, 2, 54], Operations: ['9*6=54'] Exploring Operation: 38+2=40, Resulting Numbers: [54, 40] Generated Node #3: [54, 40] from Operation: 38+2=40 Current State: 94:[54, 40], Operations: ['9*6=54', '38+2=40'] Exploring Operation: 54+40=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 98, 46, 28, 89 ]
83
[ "98+46=144", "89-28=61", "144-61=83" ]
Current State: 83:[98, 46, 28, 89], Operations: [] Exploring Operation: 98+46=144, Resulting Numbers: [28, 89, 144] Generated Node #2: [28, 89, 144] from Operation: 98+46=144 Current State: 83:[28, 89, 144], Operations: ['98+46=144'] Exploring Operation: 89-28=61, Resulting Numbers: [144, 61] Generated Node #3: [144, 61] from Operation: 89-28=61 Current State: 83:[144, 61], Operations: ['98+46=144', '89-28=61'] Exploring Operation: 144-61=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 9, 31, 19, 5 ]
62
[ "19-9=10", "31*10=310", "310/5=62" ]
Current State: 62:[9, 31, 19, 5], Operations: [] Exploring Operation: 19-9=10, Resulting Numbers: [31, 5, 10] Generated Node #2: [31, 5, 10] from Operation: 19-9=10 Current State: 62:[31, 5, 10], Operations: ['19-9=10'] Exploring Operation: 31*10=310, Resulting Numbers: [5, 310] Generated Node #3: [5, 310] from Operation: 31*10=310 Current State: 62:[5, 310], Operations: ['19-9=10', '31*10=310'] Exploring Operation: 310/5=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 42, 51, 84, 93 ]
21
[ "84/42=2", "93-51=42", "42/2=21" ]
Current State: 21:[42, 51, 84, 93], Operations: [] Exploring Operation: 84/42=2, Resulting Numbers: [51, 93, 2] Generated Node #2: [51, 93, 2] from Operation: 84/42=2 Current State: 21:[51, 93, 2], Operations: ['84/42=2'] Exploring Operation: 93-51=42, Resulting Numbers: [2, 42] Generated Node #3: [2, 42] from Operation: 93-51=42 Current State: 21:[2, 42], Operations: ['84/42=2', '93-51=42'] Exploring Operation: 42/2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 63, 52, 70, 48 ]
90
[ "52+48=100", "63*100=6300", "6300/70=90" ]
Current State: 90:[63, 52, 70, 48], Operations: [] Exploring Operation: 52+48=100, Resulting Numbers: [63, 70, 100] Generated Node #2: [63, 70, 100] from Operation: 52+48=100 Current State: 90:[63, 70, 100], Operations: ['52+48=100'] Exploring Operation: 63*100=6300, Resulting Numbers: [70, 6300] Generated Node #3: [70, 6300] from Operation: 63*100=6300 Current State: 90:[70, 6300], Operations: ['52+48=100', '63*100=6300'] Exploring Operation: 6300/70=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 5, 39, 2, 2 ]
81
[ "5-2=3", "39*2=78", "3+78=81" ]
Current State: 81:[5, 39, 2, 2], Operations: [] Exploring Operation: 5-2=3, Resulting Numbers: [39, 3] Generated Node #2: [39, 3] from Operation: 5-2=3 Current State: 81:[39, 3], Operations: ['5-2=3'] Exploring Operation: 39*2=78, Resulting Numbers: [3, 78] Generated Node #3: [3, 78] from Operation: 39*2=78 Current State: 81:[3, 78], Operations: ['5-2=3', '39*2=78'] Exploring Operation: 3+78=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 7, 36, 42, 22 ]
64
[ "42/7=6", "36+22=58", "6+58=64" ]
Current State: 64:[7, 36, 42, 22], Operations: [] Exploring Operation: 42/7=6, Resulting Numbers: [36, 22, 6] Generated Node #2: [36, 22, 6] from Operation: 42/7=6 Current State: 64:[36, 22, 6], Operations: ['42/7=6'] Exploring Operation: 36+22=58, Resulting Numbers: [6, 58] Generated Node #3: [6, 58] from Operation: 36+22=58 Current State: 64:[6, 58], Operations: ['42/7=6', '36+22=58'] Exploring Operation: 6+58=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 78, 3, 19, 54 ]
61
[ "78/3=26", "54-19=35", "26+35=61" ]
Current State: 61:[78, 3, 19, 54], Operations: [] Exploring Operation: 78/3=26, Resulting Numbers: [19, 54, 26] Generated Node #2: [19, 54, 26] from Operation: 78/3=26 Current State: 61:[19, 54, 26], Operations: ['78/3=26'] Exploring Operation: 54-19=35, Resulting Numbers: [26, 35] Generated Node #3: [26, 35] from Operation: 54-19=35 Current State: 61:[26, 35], Operations: ['78/3=26', '54-19=35'] Exploring Operation: 26+35=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 57, 88, 94, 55 ]
82
[ "57-55=2", "88*2=176", "176-94=82" ]
Current State: 82:[57, 88, 94, 55], Operations: [] Exploring Operation: 57-55=2, Resulting Numbers: [88, 94, 2] Generated Node #2: [88, 94, 2] from Operation: 57-55=2 Current State: 82:[88, 94, 2], Operations: ['57-55=2'] Exploring Operation: 88*2=176, Resulting Numbers: [94, 176] Generated Node #3: [94, 176] from Operation: 88*2=176 Current State: 82:[94, 176], Operations: ['57-55=2', '88*2=176'] Exploring Operation: 176-94=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 84, 35, 44, 2 ]
71
[ "84-35=49", "44/2=22", "49+22=71" ]
Current State: 71:[84, 35, 44, 2], Operations: [] Exploring Operation: 84-35=49, Resulting Numbers: [44, 2, 49] Generated Node #2: [44, 2, 49] from Operation: 84-35=49 Current State: 71:[44, 2, 49], Operations: ['84-35=49'] Exploring Operation: 44/2=22, Resulting Numbers: [49, 22] Generated Node #3: [49, 22] from Operation: 44/2=22 Current State: 71:[49, 22], Operations: ['84-35=49', '44/2=22'] Exploring Operation: 49+22=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 19, 33, 41, 78 ]
23
[ "33-19=14", "78-41=37", "37-14=23" ]
Current State: 23:[19, 33, 41, 78], Operations: [] Exploring Operation: 33-19=14, Resulting Numbers: [41, 78, 14] Generated Node #2: [41, 78, 14] from Operation: 33-19=14 Current State: 23:[41, 78, 14], Operations: ['33-19=14'] Exploring Operation: 78-41=37, Resulting Numbers: [14, 37] Generated Node #3: [14, 37] from Operation: 78-41=37 Current State: 23:[14, 37], Operations: ['33-19=14', '78-41=37'] Exploring Operation: 37-14=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 17, 94, 11, 1 ]
87
[ "94-17=77", "11-1=10", "77+10=87" ]
Current State: 87:[17, 94, 11, 1], Operations: [] Exploring Operation: 94-17=77, Resulting Numbers: [11, 1, 77] Generated Node #2: [11, 1, 77] from Operation: 94-17=77 Current State: 87:[11, 1, 77], Operations: ['94-17=77'] Exploring Operation: 11-1=10, Resulting Numbers: [77, 10] Generated Node #3: [77, 10] from Operation: 11-1=10 Current State: 87:[77, 10], Operations: ['94-17=77', '11-1=10'] Exploring Operation: 77+10=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 65, 75, 31, 60 ]
19
[ "75-65=10", "60-31=29", "29-10=19" ]
Current State: 19:[65, 75, 31, 60], Operations: [] Exploring Operation: 75-65=10, Resulting Numbers: [31, 60, 10] Generated Node #2: [31, 60, 10] from Operation: 75-65=10 Current State: 19:[31, 60, 10], Operations: ['75-65=10'] Exploring Operation: 60-31=29, Resulting Numbers: [10, 29] Generated Node #3: [10, 29] from Operation: 60-31=29 Current State: 19:[10, 29], Operations: ['75-65=10', '60-31=29'] Exploring Operation: 29-10=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 6, 79, 99, 82 ]
31
[ "99-6=93", "82-79=3", "93/3=31" ]
Current State: 31:[6, 79, 99, 82], Operations: [] Exploring Operation: 99-6=93, Resulting Numbers: [79, 82, 93] Generated Node #2: [79, 82, 93] from Operation: 99-6=93 Current State: 31:[79, 82, 93], Operations: ['99-6=93'] Exploring Operation: 82-79=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 82-79=3 Current State: 31:[93, 3], Operations: ['99-6=93', '82-79=3'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 27, 55, 32, 44 ]
13
[ "55*32=1760", "1760/44=40", "40-27=13" ]
Current State: 13:[27, 55, 32, 44], Operations: [] Exploring Operation: 55*32=1760, Resulting Numbers: [27, 44, 1760] Generated Node #2: [27, 44, 1760] from Operation: 55*32=1760 Current State: 13:[27, 44, 1760], Operations: ['55*32=1760'] Exploring Operation: 1760/44=40, Resulting Numbers: [27, 40] Generated Node #3: [27, 40] from Operation: 1760/44=40 Current State: 13:[27, 40], Operations: ['55*32=1760', '1760/44=40'] Exploring Operation: 40-27=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 76, 32, 59, 17 ]
86
[ "76-32=44", "59-17=42", "44+42=86" ]
Current State: 86:[76, 32, 59, 17], Operations: [] Exploring Operation: 76-32=44, Resulting Numbers: [59, 17, 44] Generated Node #2: [59, 17, 44] from Operation: 76-32=44 Current State: 86:[59, 17, 44], Operations: ['76-32=44'] Exploring Operation: 59-17=42, Resulting Numbers: [44, 42] Generated Node #3: [44, 42] from Operation: 59-17=42 Current State: 86:[44, 42], Operations: ['76-32=44', '59-17=42'] Exploring Operation: 44+42=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 1, 21, 61, 44 ]
63
[ "1+21=22", "44/22=2", "61+2=63" ]
Current State: 63:[1, 21, 61, 44], Operations: [] Exploring Operation: 1+21=22, Resulting Numbers: [61, 44, 22] Generated Node #2: [61, 44, 22] from Operation: 1+21=22 Current State: 63:[61, 44, 22], Operations: ['1+21=22'] Exploring Operation: 44/22=2, Resulting Numbers: [61, 2] Generated Node #3: [61, 2] from Operation: 44/22=2 Current State: 63:[61, 2], Operations: ['1+21=22', '44/22=2'] Exploring Operation: 61+2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 35, 60, 17, 1 ]
62
[ "35-1=34", "34/17=2", "60+2=62" ]
Current State: 62:[35, 60, 17, 1], Operations: [] Exploring Operation: 35-1=34, Resulting Numbers: [60, 17, 34] Generated Node #2: [60, 17, 34] from Operation: 35-1=34 Current State: 62:[60, 17, 34], Operations: ['35-1=34'] Exploring Operation: 34/17=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 34/17=2 Current State: 62:[60, 2], Operations: ['35-1=34', '34/17=2'] Exploring Operation: 60+2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 7, 30, 77, 41 ]
42
[ "77-30=47", "47-41=6", "7*6=42" ]
Current State: 42:[7, 30, 77, 41], Operations: [] Exploring Operation: 77-30=47, Resulting Numbers: [7, 41, 47] Generated Node #2: [7, 41, 47] from Operation: 77-30=47 Current State: 42:[7, 41, 47], Operations: ['77-30=47'] Exploring Operation: 47-41=6, Resulting Numbers: [7, 6] Generated Node #3: [7, 6] from Operation: 47-41=6 Current State: 42:[7, 6], Operations: ['77-30=47', '47-41=6'] Exploring Operation: 7*6=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 55, 30, 81, 9 ]
65
[ "55-30=25", "81+9=90", "90-25=65" ]
Current State: 65:[55, 30, 81, 9], Operations: [] Exploring Operation: 55-30=25, Resulting Numbers: [81, 9, 25] Generated Node #2: [81, 9, 25] from Operation: 55-30=25 Current State: 65:[81, 9, 25], Operations: ['55-30=25'] Exploring Operation: 81+9=90, Resulting Numbers: [25, 90] Generated Node #3: [25, 90] from Operation: 81+9=90 Current State: 65:[25, 90], Operations: ['55-30=25', '81+9=90'] Exploring Operation: 90-25=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 55, 64, 23, 67 ]
26
[ "55+23=78", "67-64=3", "78/3=26" ]
Current State: 26:[55, 64, 23, 67], Operations: [] Exploring Operation: 55+23=78, Resulting Numbers: [64, 67, 78] Generated Node #2: [64, 67, 78] from Operation: 55+23=78 Current State: 26:[64, 67, 78], Operations: ['55+23=78'] Exploring Operation: 67-64=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 67-64=3 Current State: 26:[78, 3], Operations: ['55+23=78', '67-64=3'] Exploring Operation: 78/3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 9, 84, 38, 10 ]
86
[ "9+10=19", "38/19=2", "84+2=86" ]
Current State: 86:[9, 84, 38, 10], Operations: [] Exploring Operation: 9+10=19, Resulting Numbers: [84, 38, 19] Generated Node #2: [84, 38, 19] from Operation: 9+10=19 Current State: 86:[84, 38, 19], Operations: ['9+10=19'] Exploring Operation: 38/19=2, Resulting Numbers: [84, 2] Generated Node #3: [84, 2] from Operation: 38/19=2 Current State: 86:[84, 2], Operations: ['9+10=19', '38/19=2'] Exploring Operation: 84+2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 41, 60, 8, 1 ]
93
[ "41+60=101", "8*1=8", "101-8=93" ]
Current State: 93:[41, 60, 8, 1], Operations: [] Exploring Operation: 41+60=101, Resulting Numbers: [8, 1, 101] Generated Node #2: [8, 1, 101] from Operation: 41+60=101 Current State: 93:[8, 1, 101], Operations: ['41+60=101'] Exploring Operation: 8*1=8, Resulting Numbers: [101, 8] Generated Node #3: [101, 8] from Operation: 8*1=8 Current State: 93:[101, 8], Operations: ['41+60=101', '8*1=8'] Exploring Operation: 101-8=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 21, 5, 15, 68 ]
27
[ "21+5=26", "68-15=53", "53-26=27" ]
Current State: 27:[21, 5, 15, 68], Operations: [] Exploring Operation: 21+5=26, Resulting Numbers: [15, 68, 26] Generated Node #2: [15, 68, 26] from Operation: 21+5=26 Current State: 27:[15, 68, 26], Operations: ['21+5=26'] Exploring Operation: 68-15=53, Resulting Numbers: [26, 53] Generated Node #3: [26, 53] from Operation: 68-15=53 Current State: 27:[26, 53], Operations: ['21+5=26', '68-15=53'] Exploring Operation: 53-26=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 84, 77, 84, 24 ]
52
[ "84/84=1", "77-24=53", "53-1=52" ]
Current State: 52:[84, 77, 84, 24], Operations: [] Exploring Operation: 84/84=1, Resulting Numbers: [77, 24, 1] Generated Node #2: [77, 24, 1] from Operation: 84/84=1 Current State: 52:[77, 24, 1], Operations: ['84/84=1'] Exploring Operation: 77-24=53, Resulting Numbers: [1, 53] Generated Node #3: [1, 53] from Operation: 77-24=53 Current State: 52:[1, 53], Operations: ['84/84=1', '77-24=53'] Exploring Operation: 53-1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 27, 81, 53, 19 ]
37
[ "81/27=3", "53-19=34", "3+34=37" ]
Current State: 37:[27, 81, 53, 19], Operations: [] Exploring Operation: 81/27=3, Resulting Numbers: [53, 19, 3] Generated Node #2: [53, 19, 3] from Operation: 81/27=3 Current State: 37:[53, 19, 3], Operations: ['81/27=3'] Exploring Operation: 53-19=34, Resulting Numbers: [3, 34] Generated Node #3: [3, 34] from Operation: 53-19=34 Current State: 37:[3, 34], Operations: ['81/27=3', '53-19=34'] Exploring Operation: 3+34=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 61, 7, 62, 14 ]
84
[ "61+7=68", "68-62=6", "14*6=84" ]
Current State: 84:[61, 7, 62, 14], Operations: [] Exploring Operation: 61+7=68, Resulting Numbers: [62, 14, 68] Generated Node #2: [62, 14, 68] from Operation: 61+7=68 Current State: 84:[62, 14, 68], Operations: ['61+7=68'] Exploring Operation: 68-62=6, Resulting Numbers: [14, 6] Generated Node #3: [14, 6] from Operation: 68-62=6 Current State: 84:[14, 6], Operations: ['61+7=68', '68-62=6'] Exploring Operation: 14*6=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 65, 63, 82, 37 ]
43
[ "65-63=2", "82-37=45", "45-2=43" ]
Current State: 43:[65, 63, 82, 37], Operations: [] Exploring Operation: 65-63=2, Resulting Numbers: [82, 37, 2] Generated Node #2: [82, 37, 2] from Operation: 65-63=2 Current State: 43:[82, 37, 2], Operations: ['65-63=2'] Exploring Operation: 82-37=45, Resulting Numbers: [2, 45] Generated Node #3: [2, 45] from Operation: 82-37=45 Current State: 43:[2, 45], Operations: ['65-63=2', '82-37=45'] Exploring Operation: 45-2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 10, 18, 56, 84 ]
42
[ "10+18=28", "56/28=2", "84/2=42" ]
Current State: 42:[10, 18, 56, 84], Operations: [] Exploring Operation: 10+18=28, Resulting Numbers: [56, 84, 28] Generated Node #2: [56, 84, 28] from Operation: 10+18=28 Current State: 42:[56, 84, 28], Operations: ['10+18=28'] Exploring Operation: 56/28=2, Resulting Numbers: [84, 2] Generated Node #3: [84, 2] from Operation: 56/28=2 Current State: 42:[84, 2], Operations: ['10+18=28', '56/28=2'] Exploring Operation: 84/2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 26, 41, 26, 39 ]
78
[ "41-39=2", "26*2=52", "26+52=78" ]
Current State: 78:[26, 41, 26, 39], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [26, 26, 2] Generated Node #2: [26, 26, 2] from Operation: 41-39=2 Current State: 78:[26, 26, 2], Operations: ['41-39=2'] Exploring Operation: 26*2=52, Resulting Numbers: [52] 52,78 equal: Goal Reached Exploring Operation: 26+52=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 96, 9, 72, 25 ]
66
[ "25-9=16", "96/16=6", "72-6=66" ]
Current State: 66:[96, 9, 72, 25], Operations: [] Exploring Operation: 25-9=16, Resulting Numbers: [96, 72, 16] Generated Node #2: [96, 72, 16] from Operation: 25-9=16 Current State: 66:[96, 72, 16], Operations: ['25-9=16'] Exploring Operation: 96/16=6, Resulting Numbers: [72, 6] Generated Node #3: [72, 6] from Operation: 96/16=6 Current State: 66:[72, 6], Operations: ['25-9=16', '96/16=6'] Exploring Operation: 72-6=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 49, 74, 28, 88 ]
63
[ "49+74=123", "88-28=60", "123-60=63" ]
Current State: 63:[49, 74, 28, 88], Operations: [] Exploring Operation: 49+74=123, Resulting Numbers: [28, 88, 123] Generated Node #2: [28, 88, 123] from Operation: 49+74=123 Current State: 63:[28, 88, 123], Operations: ['49+74=123'] Exploring Operation: 88-28=60, Resulting Numbers: [123, 60] Generated Node #3: [123, 60] from Operation: 88-28=60 Current State: 63:[123, 60], Operations: ['49+74=123', '88-28=60'] Exploring Operation: 123-60=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 58, 3, 38, 11 ]
45
[ "58+11=69", "3*38=114", "114-69=45" ]
Current State: 45:[58, 3, 38, 11], Operations: [] Exploring Operation: 58+11=69, Resulting Numbers: [3, 38, 69] Generated Node #2: [3, 38, 69] from Operation: 58+11=69 Current State: 45:[3, 38, 69], Operations: ['58+11=69'] Exploring Operation: 3*38=114, Resulting Numbers: [69, 114] Generated Node #3: [69, 114] from Operation: 3*38=114 Current State: 45:[69, 114], Operations: ['58+11=69', '3*38=114'] Exploring Operation: 114-69=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 49, 69, 12, 34 ]
72
[ "49+69=118", "12+34=46", "118-46=72" ]
Current State: 72:[49, 69, 12, 34], Operations: [] Exploring Operation: 49+69=118, Resulting Numbers: [12, 34, 118] Generated Node #2: [12, 34, 118] from Operation: 49+69=118 Current State: 72:[12, 34, 118], Operations: ['49+69=118'] Exploring Operation: 12+34=46, Resulting Numbers: [118, 46] Generated Node #3: [118, 46] from Operation: 12+34=46 Current State: 72:[118, 46], Operations: ['49+69=118', '12+34=46'] Exploring Operation: 118-46=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 16, 35, 4, 7 ]
63
[ "16/4=4", "7*4=28", "35+28=63" ]
Current State: 63:[16, 35, 4, 7], Operations: [] Exploring Operation: 16/4=4, Resulting Numbers: [35, 7, 4] Generated Node #2: [35, 7, 4] from Operation: 16/4=4 Current State: 63:[35, 7, 4], Operations: ['16/4=4'] Exploring Operation: 7*4=28, Resulting Numbers: [35, 28] Generated Node #3: [35, 28] from Operation: 7*4=28 Current State: 63:[35, 28], Operations: ['16/4=4', '7*4=28'] Exploring Operation: 35+28=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 99, 38, 55, 51 ]
33
[ "55-38=17", "99*17=1683", "1683/51=33" ]
Current State: 33:[99, 38, 55, 51], Operations: [] Exploring Operation: 55-38=17, Resulting Numbers: [99, 51, 17] Generated Node #2: [99, 51, 17] from Operation: 55-38=17 Current State: 33:[99, 51, 17], Operations: ['55-38=17'] Exploring Operation: 99*17=1683, Resulting Numbers: [51, 1683] Generated Node #3: [51, 1683] from Operation: 99*17=1683 Current State: 33:[51, 1683], Operations: ['55-38=17', '99*17=1683'] Exploring Operation: 1683/51=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 93, 13, 48, 54 ]
86
[ "93-13=80", "54-48=6", "80+6=86" ]
Current State: 86:[93, 13, 48, 54], Operations: [] Exploring Operation: 93-13=80, Resulting Numbers: [48, 54, 80] Generated Node #2: [48, 54, 80] from Operation: 93-13=80 Current State: 86:[48, 54, 80], Operations: ['93-13=80'] Exploring Operation: 54-48=6, Resulting Numbers: [80, 6] Generated Node #3: [80, 6] from Operation: 54-48=6 Current State: 86:[80, 6], Operations: ['93-13=80', '54-48=6'] Exploring Operation: 80+6=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 11, 35, 22, 44 ]
26
[ "35-11=24", "44/22=2", "24+2=26" ]
Current State: 26:[11, 35, 22, 44], Operations: [] Exploring Operation: 35-11=24, Resulting Numbers: [22, 44, 24] Generated Node #2: [22, 44, 24] from Operation: 35-11=24 Current State: 26:[22, 44, 24], Operations: ['35-11=24'] Exploring Operation: 44/22=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 44/22=2 Current State: 26:[24, 2], Operations: ['35-11=24', '44/22=2'] Exploring Operation: 24+2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 31, 15, 58, 8 ]
34
[ "31-15=16", "58-8=50", "50-16=34" ]
Current State: 34:[31, 15, 58, 8], Operations: [] Exploring Operation: 31-15=16, Resulting Numbers: [58, 8, 16] Generated Node #2: [58, 8, 16] from Operation: 31-15=16 Current State: 34:[58, 8, 16], Operations: ['31-15=16'] Exploring Operation: 58-8=50, Resulting Numbers: [16, 50] Generated Node #3: [16, 50] from Operation: 58-8=50 Current State: 34:[16, 50], Operations: ['31-15=16', '58-8=50'] Exploring Operation: 50-16=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 5, 6, 64, 12 ]
10
[ "5*12=60", "6+64=70", "70-60=10" ]
Current State: 10:[5, 6, 64, 12], Operations: [] Exploring Operation: 5*12=60, Resulting Numbers: [6, 64, 60] Generated Node #2: [6, 64, 60] from Operation: 5*12=60 Current State: 10:[6, 64, 60], Operations: ['5*12=60'] Exploring Operation: 6+64=70, Resulting Numbers: [60, 70] Generated Node #3: [60, 70] from Operation: 6+64=70 Current State: 10:[60, 70], Operations: ['5*12=60', '6+64=70'] Exploring Operation: 70-60=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 47, 3, 83, 16 ]
23
[ "47-3=44", "83-16=67", "67-44=23" ]
Current State: 23:[47, 3, 83, 16], Operations: [] Exploring Operation: 47-3=44, Resulting Numbers: [83, 16, 44] Generated Node #2: [83, 16, 44] from Operation: 47-3=44 Current State: 23:[83, 16, 44], Operations: ['47-3=44'] Exploring Operation: 83-16=67, Resulting Numbers: [44, 67] Generated Node #3: [44, 67] from Operation: 83-16=67 Current State: 23:[44, 67], Operations: ['47-3=44', '83-16=67'] Exploring Operation: 67-44=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 69, 43, 60, 99 ]
45
[ "99-69=30", "60/30=2", "43+2=45" ]
Current State: 45:[69, 43, 60, 99], Operations: [] Exploring Operation: 99-69=30, Resulting Numbers: [43, 60, 30] Generated Node #2: [43, 60, 30] from Operation: 99-69=30 Current State: 45:[43, 60, 30], Operations: ['99-69=30'] Exploring Operation: 60/30=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 60/30=2 Current State: 45:[43, 2], Operations: ['99-69=30', '60/30=2'] Exploring Operation: 43+2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 33, 19, 20, 51 ]
83
[ "33+19=52", "51-20=31", "52+31=83" ]
Current State: 83:[33, 19, 20, 51], Operations: [] Exploring Operation: 33+19=52, Resulting Numbers: [20, 51, 52] Generated Node #2: [20, 51, 52] from Operation: 33+19=52 Current State: 83:[20, 51, 52], Operations: ['33+19=52'] Exploring Operation: 51-20=31, Resulting Numbers: [52, 31] Generated Node #3: [52, 31] from Operation: 51-20=31 Current State: 83:[52, 31], Operations: ['33+19=52', '51-20=31'] Exploring Operation: 52+31=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 51, 30, 8, 60 ]
13
[ "51+30=81", "8+60=68", "81-68=13" ]
Current State: 13:[51, 30, 8, 60], Operations: [] Exploring Operation: 51+30=81, Resulting Numbers: [8, 60, 81] Generated Node #2: [8, 60, 81] from Operation: 51+30=81 Current State: 13:[8, 60, 81], Operations: ['51+30=81'] Exploring Operation: 8+60=68, Resulting Numbers: [81, 68] Generated Node #3: [81, 68] from Operation: 8+60=68 Current State: 13:[81, 68], Operations: ['51+30=81', '8+60=68'] Exploring Operation: 81-68=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 25, 13, 70, 13 ]
95
[ "25+13=38", "70-13=57", "38+57=95" ]
Current State: 95:[25, 13, 70, 13], Operations: [] Exploring Operation: 25+13=38, Resulting Numbers: [70, 38] Generated Node #2: [70, 38] from Operation: 25+13=38 Current State: 95:[70, 38], Operations: ['25+13=38'] Exploring Operation: 70-13=57, Resulting Numbers: [38, 57] Generated Node #3: [38, 57] from Operation: 70-13=57 Current State: 95:[38, 57], Operations: ['25+13=38', '70-13=57'] Exploring Operation: 38+57=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 55, 92, 48, 21 ]
10
[ "92-55=37", "48-21=27", "37-27=10" ]
Current State: 10:[55, 92, 48, 21], Operations: [] Exploring Operation: 92-55=37, Resulting Numbers: [48, 21, 37] Generated Node #2: [48, 21, 37] from Operation: 92-55=37 Current State: 10:[48, 21, 37], Operations: ['92-55=37'] Exploring Operation: 48-21=27, Resulting Numbers: [37, 27] Generated Node #3: [37, 27] from Operation: 48-21=27 Current State: 10:[37, 27], Operations: ['92-55=37', '48-21=27'] Exploring Operation: 37-27=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 26, 88, 25, 2 ]
88
[ "26-25=1", "2-1=1", "88*1=88" ]
Current State: 88:[26, 88, 25, 2], Operations: [] Exploring Operation: 26-25=1, Resulting Numbers: [88, 2, 1] Generated Node #2: [88, 2, 1] from Operation: 26-25=1 Current State: 88:[88, 2, 1], Operations: ['26-25=1'] Exploring Operation: 2-1=1, Resulting Numbers: [88, 1] Generated Node #3: [88, 1] from Operation: 2-1=1 Current State: 88:[88, 1], Operations: ['26-25=1', '2-1=1'] Exploring Operation: 88*1=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 22, 2, 22, 88 ]
20
[ "22+2=24", "88/22=4", "24-4=20" ]
Current State: 20:[22, 2, 22, 88], Operations: [] Exploring Operation: 22+2=24, Resulting Numbers: [88, 24] Generated Node #2: [88, 24] from Operation: 22+2=24 Current State: 20:[88, 24], Operations: ['22+2=24'] Exploring Operation: 88/22=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 88/22=4 Current State: 20:[24, 4], Operations: ['22+2=24', '88/22=4'] Exploring Operation: 24-4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 37, 12, 78, 93 ]
40
[ "37-12=25", "93-78=15", "25+15=40" ]
Current State: 40:[37, 12, 78, 93], Operations: [] Exploring Operation: 37-12=25, Resulting Numbers: [78, 93, 25] Generated Node #2: [78, 93, 25] from Operation: 37-12=25 Current State: 40:[78, 93, 25], Operations: ['37-12=25'] Exploring Operation: 93-78=15, Resulting Numbers: [25, 15] Generated Node #3: [25, 15] from Operation: 93-78=15 Current State: 40:[25, 15], Operations: ['37-12=25', '93-78=15'] Exploring Operation: 25+15=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 89, 47, 30, 90 ]
14
[ "89-47=42", "90/30=3", "42/3=14" ]
Current State: 14:[89, 47, 30, 90], Operations: [] Exploring Operation: 89-47=42, Resulting Numbers: [30, 90, 42] Generated Node #2: [30, 90, 42] from Operation: 89-47=42 Current State: 14:[30, 90, 42], Operations: ['89-47=42'] Exploring Operation: 90/30=3, Resulting Numbers: [42, 3] Generated Node #3: [42, 3] from Operation: 90/30=3 Current State: 14:[42, 3], Operations: ['89-47=42', '90/30=3'] Exploring Operation: 42/3=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 94, 72, 41, 78 ]
97
[ "94-72=22", "41+78=119", "119-22=97" ]
Current State: 97:[94, 72, 41, 78], Operations: [] Exploring Operation: 94-72=22, Resulting Numbers: [41, 78, 22] Generated Node #2: [41, 78, 22] from Operation: 94-72=22 Current State: 97:[41, 78, 22], Operations: ['94-72=22'] Exploring Operation: 41+78=119, Resulting Numbers: [22, 119] Generated Node #3: [22, 119] from Operation: 41+78=119 Current State: 97:[22, 119], Operations: ['94-72=22', '41+78=119'] Exploring Operation: 119-22=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 11, 46, 25, 17 ]
44
[ "46-25=21", "21-17=4", "11*4=44" ]
Current State: 44:[11, 46, 25, 17], Operations: [] Exploring Operation: 46-25=21, Resulting Numbers: [11, 17, 21] Generated Node #2: [11, 17, 21] from Operation: 46-25=21 Current State: 44:[11, 17, 21], Operations: ['46-25=21'] Exploring Operation: 21-17=4, Resulting Numbers: [11, 4] Generated Node #3: [11, 4] from Operation: 21-17=4 Current State: 44:[11, 4], Operations: ['46-25=21', '21-17=4'] Exploring Operation: 11*4=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 41, 41, 40, 71 ]
71
[ "41-41=0", "40*0=0", "71+0=71" ]
Current State: 71:[41, 41, 40, 71], Operations: [] Exploring Operation: 41-41=0, Resulting Numbers: [40, 71, 0] Generated Node #2: [40, 71, 0] from Operation: 41-41=0 Current State: 71:[40, 71, 0], Operations: ['41-41=0'] Exploring Operation: 40*0=0, Resulting Numbers: [71, 0] Generated Node #3: [71, 0] from Operation: 40*0=0 Current State: 71:[71, 0], Operations: ['41-41=0', '40*0=0'] Exploring Operation: 71+0=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 97, 12, 4, 47 ]
97
[ "12*4=48", "48-47=1", "97*1=97" ]
Current State: 97:[97, 12, 4, 47], Operations: [] Exploring Operation: 12*4=48, Resulting Numbers: [97, 47, 48] Generated Node #2: [97, 47, 48] from Operation: 12*4=48 Current State: 97:[97, 47, 48], Operations: ['12*4=48'] Exploring Operation: 48-47=1, Resulting Numbers: [97, 1] Generated Node #3: [97, 1] from Operation: 48-47=1 Current State: 97:[97, 1], Operations: ['12*4=48', '48-47=1'] Exploring Operation: 97*1=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 10, 3, 73, 97 ]
51
[ "73+97=170", "170/10=17", "3*17=51" ]
Current State: 51:[10, 3, 73, 97], Operations: [] Exploring Operation: 73+97=170, Resulting Numbers: [10, 3, 170] Generated Node #2: [10, 3, 170] from Operation: 73+97=170 Current State: 51:[10, 3, 170], Operations: ['73+97=170'] Exploring Operation: 170/10=17, Resulting Numbers: [3, 17] Generated Node #3: [3, 17] from Operation: 170/10=17 Current State: 51:[3, 17], Operations: ['73+97=170', '170/10=17'] Exploring Operation: 3*17=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 99, 7, 20, 19 ]
93
[ "99-7=92", "20-19=1", "92+1=93" ]
Current State: 93:[99, 7, 20, 19], Operations: [] Exploring Operation: 99-7=92, Resulting Numbers: [20, 19, 92] Generated Node #2: [20, 19, 92] from Operation: 99-7=92 Current State: 93:[20, 19, 92], Operations: ['99-7=92'] Exploring Operation: 20-19=1, Resulting Numbers: [92, 1] Generated Node #3: [92, 1] from Operation: 20-19=1 Current State: 93:[92, 1], Operations: ['99-7=92', '20-19=1'] Exploring Operation: 92+1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 41, 20, 26, 5 ]
17
[ "41-26=15", "15/5=3", "20-3=17" ]
Current State: 17:[41, 20, 26, 5], Operations: [] Exploring Operation: 41-26=15, Resulting Numbers: [20, 5, 15] Generated Node #2: [20, 5, 15] from Operation: 41-26=15 Current State: 17:[20, 5, 15], Operations: ['41-26=15'] Exploring Operation: 15/5=3, Resulting Numbers: [20, 3] Generated Node #3: [20, 3] from Operation: 15/5=3 Current State: 17:[20, 3], Operations: ['41-26=15', '15/5=3'] Exploring Operation: 20-3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 9, 63, 79, 81 ]
77
[ "81-63=18", "18/9=2", "79-2=77" ]
Current State: 77:[9, 63, 79, 81], Operations: [] Exploring Operation: 81-63=18, Resulting Numbers: [9, 79, 18] Generated Node #2: [9, 79, 18] from Operation: 81-63=18 Current State: 77:[9, 79, 18], Operations: ['81-63=18'] Exploring Operation: 18/9=2, Resulting Numbers: [79, 2] Generated Node #3: [79, 2] from Operation: 18/9=2 Current State: 77:[79, 2], Operations: ['81-63=18', '18/9=2'] Exploring Operation: 79-2=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 55, 13, 63, 92 ]
13
[ "55-13=42", "92-63=29", "42-29=13" ]
Current State: 13:[55, 13, 63, 92], Operations: [] Exploring Operation: 55-13=42, Resulting Numbers: [63, 92, 42] Generated Node #2: [63, 92, 42] from Operation: 55-13=42 Current State: 13:[63, 92, 42], Operations: ['55-13=42'] Exploring Operation: 92-63=29, Resulting Numbers: [42, 29] Generated Node #3: [42, 29] from Operation: 92-63=29 Current State: 13:[42, 29], Operations: ['55-13=42', '92-63=29'] Exploring Operation: 42-29=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 56, 31, 35, 35 ]
95
[ "56-31=25", "35+35=70", "25+70=95" ]
Current State: 95:[56, 31, 35, 35], Operations: [] Exploring Operation: 56-31=25, Resulting Numbers: [35, 35, 25] Generated Node #2: [35, 35, 25] from Operation: 56-31=25 Current State: 95:[35, 35, 25], Operations: ['56-31=25'] Exploring Operation: 35+35=70, Resulting Numbers: [25, 70] Generated Node #3: [25, 70] from Operation: 35+35=70 Current State: 95:[25, 70], Operations: ['56-31=25', '35+35=70'] Exploring Operation: 25+70=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 29, 88, 54, 18 ]
81
[ "29+88=117", "54-18=36", "117-36=81" ]
Current State: 81:[29, 88, 54, 18], Operations: [] Exploring Operation: 29+88=117, Resulting Numbers: [54, 18, 117] Generated Node #2: [54, 18, 117] from Operation: 29+88=117 Current State: 81:[54, 18, 117], Operations: ['29+88=117'] Exploring Operation: 54-18=36, Resulting Numbers: [117, 36] Generated Node #3: [117, 36] from Operation: 54-18=36 Current State: 81:[117, 36], Operations: ['29+88=117', '54-18=36'] Exploring Operation: 117-36=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 32, 35, 13, 88 ]
49
[ "35-32=3", "13*3=39", "88-39=49" ]
Current State: 49:[32, 35, 13, 88], Operations: [] Exploring Operation: 35-32=3, Resulting Numbers: [13, 88, 3] Generated Node #2: [13, 88, 3] from Operation: 35-32=3 Current State: 49:[13, 88, 3], Operations: ['35-32=3'] Exploring Operation: 13*3=39, Resulting Numbers: [88, 39] Generated Node #3: [88, 39] from Operation: 13*3=39 Current State: 49:[88, 39], Operations: ['35-32=3', '13*3=39'] Exploring Operation: 88-39=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 48, 63, 15, 72 ]
42
[ "63-48=15", "72-15=57", "57-15=42" ]
Current State: 42:[48, 63, 15, 72], Operations: [] Exploring Operation: 63-48=15, Resulting Numbers: [15, 72, 15] Generated Node #2: [15, 72, 15] from Operation: 63-48=15 Current State: 42:[15, 72, 15], Operations: ['63-48=15'] Exploring Operation: 72-15=57, Resulting Numbers: [57] 57,42 equal: Goal Reached Exploring Operation: 57-15=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4