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
[ 33, 20, 57, 35 ]
79
[ "33-20=13", "57+35=92", "92-13=79" ]
Current State: 79:[33, 20, 57, 35], Operations: [] Exploring Operation: 33-20=13, Resulting Numbers: [57, 35, 13] Generated Node #2: [57, 35, 13] from Operation: 33-20=13 Current State: 79:[57, 35, 13], Operations: ['33-20=13'] Exploring Operation: 57+35=92, Resulting Numbers: [13, 92] Generated Node #3: [13, 92] from Operation: 57+35=92 Current State: 79:[13, 92], Operations: ['33-20=13', '57+35=92'] Exploring Operation: 92-13=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 41, 3, 2, 59 ]
47
[ "41*2=82", "59+82=141", "141/3=47" ]
Current State: 47:[41, 3, 2, 59], Operations: [] Exploring Operation: 41*2=82, Resulting Numbers: [3, 59, 82] Generated Node #2: [3, 59, 82] from Operation: 41*2=82 Current State: 47:[3, 59, 82], Operations: ['41*2=82'] Exploring Operation: 59+82=141, Resulting Numbers: [3, 141] Generated Node #3: [3, 141] from Operation: 59+82=141 Current State: 47:[3, 141], Operations: ['41*2=82', '59+82=141'] Exploring Operation: 141/3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 20, 2, 25, 7 ]
17
[ "25-20=5", "2*5=10", "7+10=17" ]
Current State: 17:[20, 2, 25, 7], Operations: [] Exploring Operation: 25-20=5, Resulting Numbers: [2, 7, 5] Generated Node #2: [2, 7, 5] from Operation: 25-20=5 Current State: 17:[2, 7, 5], Operations: ['25-20=5'] Exploring Operation: 2*5=10, Resulting Numbers: [7, 10] Generated Node #3: [7, 10] from Operation: 2*5=10 Current State: 17:[7, 10], Operations: ['25-20=5', '2*5=10'] Exploring Operation: 7+10=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 35, 66, 60, 30 ]
62
[ "66-35=31", "60/30=2", "31*2=62" ]
Current State: 62:[35, 66, 60, 30], Operations: [] Exploring Operation: 66-35=31, Resulting Numbers: [60, 30, 31] Generated Node #2: [60, 30, 31] from Operation: 66-35=31 Current State: 62:[60, 30, 31], Operations: ['66-35=31'] Exploring Operation: 60/30=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 60/30=2 Current State: 62:[31, 2], Operations: ['66-35=31', '60/30=2'] Exploring Operation: 31*2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 20, 26, 3, 28 ]
30
[ "26-20=6", "6/3=2", "28+2=30" ]
Current State: 30:[20, 26, 3, 28], Operations: [] Exploring Operation: 26-20=6, Resulting Numbers: [3, 28, 6] Generated Node #2: [3, 28, 6] from Operation: 26-20=6 Current State: 30:[3, 28, 6], Operations: ['26-20=6'] Exploring Operation: 6/3=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 6/3=2 Current State: 30:[28, 2], Operations: ['26-20=6', '6/3=2'] Exploring Operation: 28+2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 47, 68, 67, 17 ]
71
[ "68-47=21", "67-17=50", "21+50=71" ]
Current State: 71:[47, 68, 67, 17], Operations: [] Exploring Operation: 68-47=21, Resulting Numbers: [67, 17, 21] Generated Node #2: [67, 17, 21] from Operation: 68-47=21 Current State: 71:[67, 17, 21], Operations: ['68-47=21'] Exploring Operation: 67-17=50, Resulting Numbers: [21, 50] Generated Node #3: [21, 50] from Operation: 67-17=50 Current State: 71:[21, 50], Operations: ['68-47=21', '67-17=50'] Exploring Operation: 21+50=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 22, 91, 2, 60 ]
13
[ "22*2=44", "91-60=31", "44-31=13" ]
Current State: 13:[22, 91, 2, 60], Operations: [] Exploring Operation: 22*2=44, Resulting Numbers: [91, 60, 44] Generated Node #2: [91, 60, 44] from Operation: 22*2=44 Current State: 13:[91, 60, 44], Operations: ['22*2=44'] Exploring Operation: 91-60=31, Resulting Numbers: [44, 31] Generated Node #3: [44, 31] from Operation: 91-60=31 Current State: 13:[44, 31], Operations: ['22*2=44', '91-60=31'] Exploring Operation: 44-31=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 4, 64, 6, 82 ]
59
[ "6*82=492", "492/4=123", "123-64=59" ]
Current State: 59:[4, 64, 6, 82], Operations: [] Exploring Operation: 6*82=492, Resulting Numbers: [4, 64, 492] Generated Node #2: [4, 64, 492] from Operation: 6*82=492 Current State: 59:[4, 64, 492], Operations: ['6*82=492'] Exploring Operation: 492/4=123, Resulting Numbers: [64, 123] Generated Node #3: [64, 123] from Operation: 492/4=123 Current State: 59:[64, 123], Operations: ['6*82=492', '492/4=123'] Exploring Operation: 123-64=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 11, 33, 34, 80 ]
90
[ "11+33=44", "80-34=46", "44+46=90" ]
Current State: 90:[11, 33, 34, 80], Operations: [] Exploring Operation: 11+33=44, Resulting Numbers: [34, 80, 44] Generated Node #2: [34, 80, 44] from Operation: 11+33=44 Current State: 90:[34, 80, 44], Operations: ['11+33=44'] Exploring Operation: 80-34=46, Resulting Numbers: [44, 46] Generated Node #3: [44, 46] from Operation: 80-34=46 Current State: 90:[44, 46], Operations: ['11+33=44', '80-34=46'] Exploring Operation: 44+46=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 15, 63, 93, 97 ]
44
[ "63-15=48", "97-93=4", "48-4=44" ]
Current State: 44:[15, 63, 93, 97], Operations: [] Exploring Operation: 63-15=48, Resulting Numbers: [93, 97, 48] Generated Node #2: [93, 97, 48] from Operation: 63-15=48 Current State: 44:[93, 97, 48], Operations: ['63-15=48'] Exploring Operation: 97-93=4, Resulting Numbers: [48, 4] Generated Node #3: [48, 4] from Operation: 97-93=4 Current State: 44:[48, 4], Operations: ['63-15=48', '97-93=4'] Exploring Operation: 48-4=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 62, 28, 32, 67 ]
69
[ "62-28=34", "67-32=35", "34+35=69" ]
Current State: 69:[62, 28, 32, 67], Operations: [] Exploring Operation: 62-28=34, Resulting Numbers: [32, 67, 34] Generated Node #2: [32, 67, 34] from Operation: 62-28=34 Current State: 69:[32, 67, 34], Operations: ['62-28=34'] Exploring Operation: 67-32=35, Resulting Numbers: [34, 35] Generated Node #3: [34, 35] from Operation: 67-32=35 Current State: 69:[34, 35], Operations: ['62-28=34', '67-32=35'] Exploring Operation: 34+35=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 73, 17, 80, 43 ]
34
[ "73+80=153", "153/17=9", "43-9=34" ]
Current State: 34:[73, 17, 80, 43], Operations: [] Exploring Operation: 73+80=153, Resulting Numbers: [17, 43, 153] Generated Node #2: [17, 43, 153] from Operation: 73+80=153 Current State: 34:[17, 43, 153], Operations: ['73+80=153'] Exploring Operation: 153/17=9, Resulting Numbers: [43, 9] Generated Node #3: [43, 9] from Operation: 153/17=9 Current State: 34:[43, 9], Operations: ['73+80=153', '153/17=9'] Exploring Operation: 43-9=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 79, 63, 3, 9 ]
89
[ "79+3=82", "63/9=7", "82+7=89" ]
Current State: 89:[79, 63, 3, 9], Operations: [] Exploring Operation: 79+3=82, Resulting Numbers: [63, 9, 82] Generated Node #2: [63, 9, 82] from Operation: 79+3=82 Current State: 89:[63, 9, 82], Operations: ['79+3=82'] Exploring Operation: 63/9=7, Resulting Numbers: [82, 7] Generated Node #3: [82, 7] from Operation: 63/9=7 Current State: 89:[82, 7], Operations: ['79+3=82', '63/9=7'] Exploring Operation: 82+7=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 69, 27, 87, 19 ]
10
[ "69+27=96", "87+19=106", "106-96=10" ]
Current State: 10:[69, 27, 87, 19], Operations: [] Exploring Operation: 69+27=96, Resulting Numbers: [87, 19, 96] Generated Node #2: [87, 19, 96] from Operation: 69+27=96 Current State: 10:[87, 19, 96], Operations: ['69+27=96'] Exploring Operation: 87+19=106, Resulting Numbers: [96, 106] Generated Node #3: [96, 106] from Operation: 87+19=106 Current State: 10:[96, 106], Operations: ['69+27=96', '87+19=106'] Exploring Operation: 106-96=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 89, 21, 54, 6 ]
87
[ "21+6=27", "54/27=2", "89-2=87" ]
Current State: 87:[89, 21, 54, 6], Operations: [] Exploring Operation: 21+6=27, Resulting Numbers: [89, 54, 27] Generated Node #2: [89, 54, 27] from Operation: 21+6=27 Current State: 87:[89, 54, 27], Operations: ['21+6=27'] Exploring Operation: 54/27=2, Resulting Numbers: [89, 2] Generated Node #3: [89, 2] from Operation: 54/27=2 Current State: 87:[89, 2], Operations: ['21+6=27', '54/27=2'] Exploring Operation: 89-2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 34, 28, 27, 64 ]
30
[ "64-34=30", "28-27=1", "30*1=30" ]
Current State: 30:[34, 28, 27, 64], Operations: [] Exploring Operation: 64-34=30, Resulting Numbers: [28, 27, 30] Generated Node #2: [28, 27, 30] from Operation: 64-34=30 Current State: 30:[28, 27, 30], Operations: ['64-34=30'] Exploring Operation: 28-27=1, Resulting Numbers: [30, 1] Generated Node #3: [30, 1] from Operation: 28-27=1 Current State: 30:[30, 1], Operations: ['64-34=30', '28-27=1'] Exploring Operation: 30*1=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 21, 97, 95, 6 ]
48
[ "97-95=2", "21*2=42", "6+42=48" ]
Current State: 48:[21, 97, 95, 6], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [21, 6, 2] Generated Node #2: [21, 6, 2] from Operation: 97-95=2 Current State: 48:[21, 6, 2], Operations: ['97-95=2'] Exploring Operation: 21*2=42, Resulting Numbers: [6, 42] Generated Node #3: [6, 42] from Operation: 21*2=42 Current State: 48:[6, 42], Operations: ['97-95=2', '21*2=42'] Exploring Operation: 6+42=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 24, 39, 17, 20 ]
100
[ "24+39=63", "17+20=37", "63+37=100" ]
Current State: 100:[24, 39, 17, 20], Operations: [] Exploring Operation: 24+39=63, Resulting Numbers: [17, 20, 63] Generated Node #2: [17, 20, 63] from Operation: 24+39=63 Current State: 100:[17, 20, 63], Operations: ['24+39=63'] Exploring Operation: 17+20=37, Resulting Numbers: [63, 37] Generated Node #3: [63, 37] from Operation: 17+20=37 Current State: 100:[63, 37], Operations: ['24+39=63', '17+20=37'] Exploring Operation: 63+37=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 4, 72, 2, 6 ]
79
[ "4+72=76", "6/2=3", "76+3=79" ]
Current State: 79:[4, 72, 2, 6], Operations: [] Exploring Operation: 4+72=76, Resulting Numbers: [2, 6, 76] Generated Node #2: [2, 6, 76] from Operation: 4+72=76 Current State: 79:[2, 6, 76], Operations: ['4+72=76'] Exploring Operation: 6/2=3, Resulting Numbers: [76, 3] Generated Node #3: [76, 3] from Operation: 6/2=3 Current State: 79:[76, 3], Operations: ['4+72=76', '6/2=3'] Exploring Operation: 76+3=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 79, 73, 52, 33 ]
91
[ "79-73=6", "52+33=85", "6+85=91" ]
Current State: 91:[79, 73, 52, 33], Operations: [] Exploring Operation: 79-73=6, Resulting Numbers: [52, 33, 6] Generated Node #2: [52, 33, 6] from Operation: 79-73=6 Current State: 91:[52, 33, 6], Operations: ['79-73=6'] Exploring Operation: 52+33=85, Resulting Numbers: [6, 85] Generated Node #3: [6, 85] from Operation: 52+33=85 Current State: 91:[6, 85], Operations: ['79-73=6', '52+33=85'] Exploring Operation: 6+85=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 86, 55, 16, 50 ]
65
[ "86-55=31", "50-16=34", "31+34=65" ]
Current State: 65:[86, 55, 16, 50], Operations: [] Exploring Operation: 86-55=31, Resulting Numbers: [16, 50, 31] Generated Node #2: [16, 50, 31] from Operation: 86-55=31 Current State: 65:[16, 50, 31], Operations: ['86-55=31'] Exploring Operation: 50-16=34, Resulting Numbers: [31, 34] Generated Node #3: [31, 34] from Operation: 50-16=34 Current State: 65:[31, 34], Operations: ['86-55=31', '50-16=34'] Exploring Operation: 31+34=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 53, 63, 99, 72 ]
89
[ "53+63=116", "99-72=27", "116-27=89" ]
Current State: 89:[53, 63, 99, 72], Operations: [] Exploring Operation: 53+63=116, Resulting Numbers: [99, 72, 116] Generated Node #2: [99, 72, 116] from Operation: 53+63=116 Current State: 89:[99, 72, 116], Operations: ['53+63=116'] Exploring Operation: 99-72=27, Resulting Numbers: [116, 27] Generated Node #3: [116, 27] from Operation: 99-72=27 Current State: 89:[116, 27], Operations: ['53+63=116', '99-72=27'] Exploring Operation: 116-27=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 84, 15, 90, 58 ]
72
[ "84*15=1260", "1260/90=14", "58+14=72" ]
Current State: 72:[84, 15, 90, 58], Operations: [] Exploring Operation: 84*15=1260, Resulting Numbers: [90, 58, 1260] Generated Node #2: [90, 58, 1260] from Operation: 84*15=1260 Current State: 72:[90, 58, 1260], Operations: ['84*15=1260'] Exploring Operation: 1260/90=14, Resulting Numbers: [58, 14] Generated Node #3: [58, 14] from Operation: 1260/90=14 Current State: 72:[58, 14], Operations: ['84*15=1260', '1260/90=14'] Exploring Operation: 58+14=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 8, 7, 17, 68 ]
28
[ "68/17=4", "8-4=4", "7*4=28" ]
Current State: 28:[8, 7, 17, 68], Operations: [] Exploring Operation: 68/17=4, Resulting Numbers: [8, 7, 4] Generated Node #2: [8, 7, 4] from Operation: 68/17=4 Current State: 28:[8, 7, 4], Operations: ['68/17=4'] Exploring Operation: 8-4=4, Resulting Numbers: [7, 4] Generated Node #3: [7, 4] from Operation: 8-4=4 Current State: 28:[7, 4], Operations: ['68/17=4', '8-4=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 41, 53, 2, 39 ]
93
[ "41+39=80", "80/2=40", "53+40=93" ]
Current State: 93:[41, 53, 2, 39], Operations: [] Exploring Operation: 41+39=80, Resulting Numbers: [53, 2, 80] Generated Node #2: [53, 2, 80] from Operation: 41+39=80 Current State: 93:[53, 2, 80], Operations: ['41+39=80'] Exploring Operation: 80/2=40, Resulting Numbers: [53, 40] Generated Node #3: [53, 40] from Operation: 80/2=40 Current State: 93:[53, 40], Operations: ['41+39=80', '80/2=40'] Exploring Operation: 53+40=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 35, 17, 15, 91 ]
28
[ "91-35=56", "17-15=2", "56/2=28" ]
Current State: 28:[35, 17, 15, 91], Operations: [] Exploring Operation: 91-35=56, Resulting Numbers: [17, 15, 56] Generated Node #2: [17, 15, 56] from Operation: 91-35=56 Current State: 28:[17, 15, 56], Operations: ['91-35=56'] Exploring Operation: 17-15=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 17-15=2 Current State: 28:[56, 2], Operations: ['91-35=56', '17-15=2'] Exploring Operation: 56/2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 56, 64, 16, 49 ]
42
[ "64-16=48", "49*48=2352", "2352/56=42" ]
Current State: 42:[56, 64, 16, 49], Operations: [] Exploring Operation: 64-16=48, Resulting Numbers: [56, 49, 48] Generated Node #2: [56, 49, 48] from Operation: 64-16=48 Current State: 42:[56, 49, 48], Operations: ['64-16=48'] Exploring Operation: 49*48=2352, Resulting Numbers: [56, 2352] Generated Node #3: [56, 2352] from Operation: 49*48=2352 Current State: 42:[56, 2352], Operations: ['64-16=48', '49*48=2352'] Exploring Operation: 2352/56=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 99, 27, 99, 22 ]
22
[ "99-99=0", "27*0=0", "22+0=22" ]
Current State: 22:[99, 27, 99, 22], Operations: [] Exploring Operation: 99-99=0, Resulting Numbers: [27, 22, 0] Generated Node #2: [27, 22, 0] from Operation: 99-99=0 Current State: 22:[27, 22, 0], Operations: ['99-99=0'] Exploring Operation: 27*0=0, Resulting Numbers: [22, 0] Generated Node #3: [22, 0] from Operation: 27*0=0 Current State: 22:[22, 0], Operations: ['99-99=0', '27*0=0'] Exploring Operation: 22+0=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 84, 35, 28, 18 ]
41
[ "84/28=3", "18/3=6", "35+6=41" ]
Current State: 41:[84, 35, 28, 18], Operations: [] Exploring Operation: 84/28=3, Resulting Numbers: [35, 18, 3] Generated Node #2: [35, 18, 3] from Operation: 84/28=3 Current State: 41:[35, 18, 3], Operations: ['84/28=3'] Exploring Operation: 18/3=6, Resulting Numbers: [35, 6] Generated Node #3: [35, 6] from Operation: 18/3=6 Current State: 41:[35, 6], Operations: ['84/28=3', '18/3=6'] Exploring Operation: 35+6=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 50, 18, 99, 96 ]
65
[ "50+18=68", "99-96=3", "68-3=65" ]
Current State: 65:[50, 18, 99, 96], Operations: [] Exploring Operation: 50+18=68, Resulting Numbers: [99, 96, 68] Generated Node #2: [99, 96, 68] from Operation: 50+18=68 Current State: 65:[99, 96, 68], Operations: ['50+18=68'] Exploring Operation: 99-96=3, Resulting Numbers: [68, 3] Generated Node #3: [68, 3] from Operation: 99-96=3 Current State: 65:[68, 3], Operations: ['50+18=68', '99-96=3'] Exploring Operation: 68-3=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 38, 99, 37, 70 ]
41
[ "70-37=33", "99/33=3", "38+3=41" ]
Current State: 41:[38, 99, 37, 70], Operations: [] Exploring Operation: 70-37=33, Resulting Numbers: [38, 99, 33] Generated Node #2: [38, 99, 33] from Operation: 70-37=33 Current State: 41:[38, 99, 33], Operations: ['70-37=33'] Exploring Operation: 99/33=3, Resulting Numbers: [38, 3] Generated Node #3: [38, 3] from Operation: 99/33=3 Current State: 41:[38, 3], Operations: ['70-37=33', '99/33=3'] Exploring Operation: 38+3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 4, 97, 59, 94 ]
14
[ "97-59=38", "94-38=56", "56/4=14" ]
Current State: 14:[4, 97, 59, 94], Operations: [] Exploring Operation: 97-59=38, Resulting Numbers: [4, 94, 38] Generated Node #2: [4, 94, 38] from Operation: 97-59=38 Current State: 14:[4, 94, 38], Operations: ['97-59=38'] Exploring Operation: 94-38=56, Resulting Numbers: [4, 56] Generated Node #3: [4, 56] from Operation: 94-38=56 Current State: 14:[4, 56], Operations: ['97-59=38', '94-38=56'] Exploring Operation: 56/4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 80, 12, 90, 9 ]
50
[ "12-9=3", "90/3=30", "80-30=50" ]
Current State: 50:[80, 12, 90, 9], Operations: [] Exploring Operation: 12-9=3, Resulting Numbers: [80, 90, 3] Generated Node #2: [80, 90, 3] from Operation: 12-9=3 Current State: 50:[80, 90, 3], Operations: ['12-9=3'] Exploring Operation: 90/3=30, Resulting Numbers: [80, 30] Generated Node #3: [80, 30] from Operation: 90/3=30 Current State: 50:[80, 30], Operations: ['12-9=3', '90/3=30'] Exploring Operation: 80-30=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 22, 22, 28, 90 ]
74
[ "22+22=44", "28+90=118", "118-44=74" ]
Current State: 74:[22, 22, 28, 90], Operations: [] Exploring Operation: 22+22=44, Resulting Numbers: [28, 90, 44] Generated Node #2: [28, 90, 44] from Operation: 22+22=44 Current State: 74:[28, 90, 44], Operations: ['22+22=44'] Exploring Operation: 28+90=118, Resulting Numbers: [44, 118] Generated Node #3: [44, 118] from Operation: 28+90=118 Current State: 74:[44, 118], Operations: ['22+22=44', '28+90=118'] Exploring Operation: 118-44=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 3, 57, 54, 72 ]
72
[ "57-3=54", "54+72=126", "126-54=72" ]
Current State: 72:[3, 57, 54, 72], Operations: [] Exploring Operation: 57-3=54, Resulting Numbers: [54, 72, 54] Generated Node #2: [54, 72, 54] from Operation: 57-3=54 Current State: 72:[54, 72, 54], Operations: ['57-3=54'] Exploring Operation: 54+72=126, Resulting Numbers: [126] 126,72 equal: Goal Reached Exploring Operation: 126-54=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 61, 61, 19, 37 ]
17
[ "61/61=1", "37-19=18", "18-1=17" ]
Current State: 17:[61, 61, 19, 37], Operations: [] Exploring Operation: 61/61=1, Resulting Numbers: [19, 37, 1] Generated Node #2: [19, 37, 1] from Operation: 61/61=1 Current State: 17:[19, 37, 1], Operations: ['61/61=1'] Exploring Operation: 37-19=18, Resulting Numbers: [1, 18] Generated Node #3: [1, 18] from Operation: 37-19=18 Current State: 17:[1, 18], Operations: ['61/61=1', '37-19=18'] Exploring Operation: 18-1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 75, 66, 65, 26 ]
48
[ "75-66=9", "65-26=39", "9+39=48" ]
Current State: 48:[75, 66, 65, 26], Operations: [] Exploring Operation: 75-66=9, Resulting Numbers: [65, 26, 9] Generated Node #2: [65, 26, 9] from Operation: 75-66=9 Current State: 48:[65, 26, 9], Operations: ['75-66=9'] Exploring Operation: 65-26=39, Resulting Numbers: [9, 39] Generated Node #3: [9, 39] from Operation: 65-26=39 Current State: 48:[9, 39], Operations: ['75-66=9', '65-26=39'] Exploring Operation: 9+39=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 3, 92, 51, 65 ]
81
[ "3+92=95", "65-51=14", "95-14=81" ]
Current State: 81:[3, 92, 51, 65], Operations: [] Exploring Operation: 3+92=95, Resulting Numbers: [51, 65, 95] Generated Node #2: [51, 65, 95] from Operation: 3+92=95 Current State: 81:[51, 65, 95], Operations: ['3+92=95'] Exploring Operation: 65-51=14, Resulting Numbers: [95, 14] Generated Node #3: [95, 14] from Operation: 65-51=14 Current State: 81:[95, 14], Operations: ['3+92=95', '65-51=14'] Exploring Operation: 95-14=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 56, 10, 17, 44 ]
39
[ "56+10=66", "44-17=27", "66-27=39" ]
Current State: 39:[56, 10, 17, 44], Operations: [] Exploring Operation: 56+10=66, Resulting Numbers: [17, 44, 66] Generated Node #2: [17, 44, 66] from Operation: 56+10=66 Current State: 39:[17, 44, 66], Operations: ['56+10=66'] Exploring Operation: 44-17=27, Resulting Numbers: [66, 27] Generated Node #3: [66, 27] from Operation: 44-17=27 Current State: 39:[66, 27], Operations: ['56+10=66', '44-17=27'] Exploring Operation: 66-27=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 37, 47, 52, 21 ]
39
[ "47-21=26", "52/26=2", "37+2=39" ]
Current State: 39:[37, 47, 52, 21], Operations: [] Exploring Operation: 47-21=26, Resulting Numbers: [37, 52, 26] Generated Node #2: [37, 52, 26] from Operation: 47-21=26 Current State: 39:[37, 52, 26], Operations: ['47-21=26'] Exploring Operation: 52/26=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 52/26=2 Current State: 39:[37, 2], Operations: ['47-21=26', '52/26=2'] Exploring Operation: 37+2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 4, 57, 37, 77 ]
43
[ "77-57=20", "4*20=80", "80-37=43" ]
Current State: 43:[4, 57, 37, 77], Operations: [] Exploring Operation: 77-57=20, Resulting Numbers: [4, 37, 20] Generated Node #2: [4, 37, 20] from Operation: 77-57=20 Current State: 43:[4, 37, 20], Operations: ['77-57=20'] Exploring Operation: 4*20=80, Resulting Numbers: [37, 80] Generated Node #3: [37, 80] from Operation: 4*20=80 Current State: 43:[37, 80], Operations: ['77-57=20', '4*20=80'] Exploring Operation: 80-37=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 44, 65, 90, 70 ]
62
[ "44*90=3960", "70+3960=4030", "4030/65=62" ]
Current State: 62:[44, 65, 90, 70], Operations: [] Exploring Operation: 44*90=3960, Resulting Numbers: [65, 70, 3960] Generated Node #2: [65, 70, 3960] from Operation: 44*90=3960 Current State: 62:[65, 70, 3960], Operations: ['44*90=3960'] Exploring Operation: 70+3960=4030, Resulting Numbers: [65, 4030] Generated Node #3: [65, 4030] from Operation: 70+3960=4030 Current State: 62:[65, 4030], Operations: ['44*90=3960', '70+3960=4030'] Exploring Operation: 4030/65=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 73, 48, 71, 80 ]
30
[ "73+48=121", "71+80=151", "151-121=30" ]
Current State: 30:[73, 48, 71, 80], Operations: [] Exploring Operation: 73+48=121, Resulting Numbers: [71, 80, 121] Generated Node #2: [71, 80, 121] from Operation: 73+48=121 Current State: 30:[71, 80, 121], Operations: ['73+48=121'] Exploring Operation: 71+80=151, Resulting Numbers: [121, 151] Generated Node #3: [121, 151] from Operation: 71+80=151 Current State: 30:[121, 151], Operations: ['73+48=121', '71+80=151'] Exploring Operation: 151-121=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 31, 73, 88, 70 ]
54
[ "31+73=104", "88+70=158", "158-104=54" ]
Current State: 54:[31, 73, 88, 70], Operations: [] Exploring Operation: 31+73=104, Resulting Numbers: [88, 70, 104] Generated Node #2: [88, 70, 104] from Operation: 31+73=104 Current State: 54:[88, 70, 104], Operations: ['31+73=104'] Exploring Operation: 88+70=158, Resulting Numbers: [104, 158] Generated Node #3: [104, 158] from Operation: 88+70=158 Current State: 54:[104, 158], Operations: ['31+73=104', '88+70=158'] Exploring Operation: 158-104=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 27, 1, 55, 52 ]
26
[ "27*52=1404", "55-1=54", "1404/54=26" ]
Current State: 26:[27, 1, 55, 52], Operations: [] Exploring Operation: 27*52=1404, Resulting Numbers: [1, 55, 1404] Generated Node #2: [1, 55, 1404] from Operation: 27*52=1404 Current State: 26:[1, 55, 1404], Operations: ['27*52=1404'] Exploring Operation: 55-1=54, Resulting Numbers: [1404, 54] Generated Node #3: [1404, 54] from Operation: 55-1=54 Current State: 26:[1404, 54], Operations: ['27*52=1404', '55-1=54'] Exploring Operation: 1404/54=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 30, 26, 28, 7 ]
20
[ "30+26=56", "56/7=8", "28-8=20" ]
Current State: 20:[30, 26, 28, 7], Operations: [] Exploring Operation: 30+26=56, Resulting Numbers: [28, 7, 56] Generated Node #2: [28, 7, 56] from Operation: 30+26=56 Current State: 20:[28, 7, 56], Operations: ['30+26=56'] Exploring Operation: 56/7=8, Resulting Numbers: [28, 8] Generated Node #3: [28, 8] from Operation: 56/7=8 Current State: 20:[28, 8], Operations: ['30+26=56', '56/7=8'] Exploring Operation: 28-8=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 21, 55, 46, 14 ]
26
[ "55-21=34", "46+14=60", "60-34=26" ]
Current State: 26:[21, 55, 46, 14], Operations: [] Exploring Operation: 55-21=34, Resulting Numbers: [46, 14, 34] Generated Node #2: [46, 14, 34] from Operation: 55-21=34 Current State: 26:[46, 14, 34], Operations: ['55-21=34'] Exploring Operation: 46+14=60, Resulting Numbers: [34, 60] Generated Node #3: [34, 60] from Operation: 46+14=60 Current State: 26:[34, 60], Operations: ['55-21=34', '46+14=60'] Exploring Operation: 60-34=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 81, 44, 81, 32 ]
13
[ "81/81=1", "44-32=12", "1+12=13" ]
Current State: 13:[81, 44, 81, 32], Operations: [] Exploring Operation: 81/81=1, Resulting Numbers: [44, 32, 1] Generated Node #2: [44, 32, 1] from Operation: 81/81=1 Current State: 13:[44, 32, 1], Operations: ['81/81=1'] Exploring Operation: 44-32=12, Resulting Numbers: [1, 12] Generated Node #3: [1, 12] from Operation: 44-32=12 Current State: 13:[1, 12], Operations: ['81/81=1', '44-32=12'] Exploring Operation: 1+12=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 72, 68, 17, 9 ]
93
[ "72/9=8", "68+17=85", "8+85=93" ]
Current State: 93:[72, 68, 17, 9], Operations: [] Exploring Operation: 72/9=8, Resulting Numbers: [68, 17, 8] Generated Node #2: [68, 17, 8] from Operation: 72/9=8 Current State: 93:[68, 17, 8], Operations: ['72/9=8'] Exploring Operation: 68+17=85, Resulting Numbers: [8, 85] Generated Node #3: [8, 85] from Operation: 68+17=85 Current State: 93:[8, 85], Operations: ['72/9=8', '68+17=85'] Exploring Operation: 8+85=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 96, 95, 13, 11 ]
97
[ "13-11=2", "96*2=192", "192-95=97" ]
Current State: 97:[96, 95, 13, 11], Operations: [] Exploring Operation: 13-11=2, Resulting Numbers: [96, 95, 2] Generated Node #2: [96, 95, 2] from Operation: 13-11=2 Current State: 97:[96, 95, 2], Operations: ['13-11=2'] Exploring Operation: 96*2=192, Resulting Numbers: [95, 192] Generated Node #3: [95, 192] from Operation: 96*2=192 Current State: 97:[95, 192], Operations: ['13-11=2', '96*2=192'] Exploring Operation: 192-95=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 2, 66, 10, 37 ]
48
[ "66-37=29", "2*29=58", "58-10=48" ]
Current State: 48:[2, 66, 10, 37], Operations: [] Exploring Operation: 66-37=29, Resulting Numbers: [2, 10, 29] Generated Node #2: [2, 10, 29] from Operation: 66-37=29 Current State: 48:[2, 10, 29], Operations: ['66-37=29'] Exploring Operation: 2*29=58, Resulting Numbers: [10, 58] Generated Node #3: [10, 58] from Operation: 2*29=58 Current State: 48:[10, 58], Operations: ['66-37=29', '2*29=58'] Exploring Operation: 58-10=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 13, 4, 44, 39 ]
24
[ "13+44=57", "39+57=96", "96/4=24" ]
Current State: 24:[13, 4, 44, 39], Operations: [] Exploring Operation: 13+44=57, Resulting Numbers: [4, 39, 57] Generated Node #2: [4, 39, 57] from Operation: 13+44=57 Current State: 24:[4, 39, 57], Operations: ['13+44=57'] Exploring Operation: 39+57=96, Resulting Numbers: [4, 96] Generated Node #3: [4, 96] from Operation: 39+57=96 Current State: 24:[4, 96], Operations: ['13+44=57', '39+57=96'] Exploring Operation: 96/4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 20, 79, 94, 5 ]
17
[ "94-79=15", "15/5=3", "20-3=17" ]
Current State: 17:[20, 79, 94, 5], Operations: [] Exploring Operation: 94-79=15, Resulting Numbers: [20, 5, 15] Generated Node #2: [20, 5, 15] from Operation: 94-79=15 Current State: 17:[20, 5, 15], Operations: ['94-79=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: ['94-79=15', '15/5=3'] Exploring Operation: 20-3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 6, 19, 20, 17 ]
63
[ "6*17=102", "19+20=39", "102-39=63" ]
Current State: 63:[6, 19, 20, 17], Operations: [] Exploring Operation: 6*17=102, Resulting Numbers: [19, 20, 102] Generated Node #2: [19, 20, 102] from Operation: 6*17=102 Current State: 63:[19, 20, 102], Operations: ['6*17=102'] Exploring Operation: 19+20=39, Resulting Numbers: [102, 39] Generated Node #3: [102, 39] from Operation: 19+20=39 Current State: 63:[102, 39], Operations: ['6*17=102', '19+20=39'] Exploring Operation: 102-39=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 64, 10, 10, 70 ]
40
[ "64+10=74", "74-70=4", "10*4=40" ]
Current State: 40:[64, 10, 10, 70], Operations: [] Exploring Operation: 64+10=74, Resulting Numbers: [70, 74] Generated Node #2: [70, 74] from Operation: 64+10=74 Current State: 40:[70, 74], Operations: ['64+10=74'] Exploring Operation: 74-70=4, Resulting Numbers: [4] 4,40 equal: Goal Reached Exploring Operation: 10*4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 78, 12, 56, 42 ]
53
[ "78-42=36", "36/12=3", "56-3=53" ]
Current State: 53:[78, 12, 56, 42], Operations: [] Exploring Operation: 78-42=36, Resulting Numbers: [12, 56, 36] Generated Node #2: [12, 56, 36] from Operation: 78-42=36 Current State: 53:[12, 56, 36], Operations: ['78-42=36'] Exploring Operation: 36/12=3, Resulting Numbers: [56, 3] Generated Node #3: [56, 3] from Operation: 36/12=3 Current State: 53:[56, 3], Operations: ['78-42=36', '36/12=3'] Exploring Operation: 56-3=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 97, 99, 25, 1 ]
93
[ "99+1=100", "100/25=4", "97-4=93" ]
Current State: 93:[97, 99, 25, 1], Operations: [] Exploring Operation: 99+1=100, Resulting Numbers: [97, 25, 100] Generated Node #2: [97, 25, 100] from Operation: 99+1=100 Current State: 93:[97, 25, 100], Operations: ['99+1=100'] Exploring Operation: 100/25=4, Resulting Numbers: [97, 4] Generated Node #3: [97, 4] from Operation: 100/25=4 Current State: 93:[97, 4], Operations: ['99+1=100', '100/25=4'] Exploring Operation: 97-4=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 2, 15, 82, 76 ]
23
[ "2+15=17", "82-76=6", "17+6=23" ]
Current State: 23:[2, 15, 82, 76], Operations: [] Exploring Operation: 2+15=17, Resulting Numbers: [82, 76, 17] Generated Node #2: [82, 76, 17] from Operation: 2+15=17 Current State: 23:[82, 76, 17], Operations: ['2+15=17'] Exploring Operation: 82-76=6, Resulting Numbers: [17, 6] Generated Node #3: [17, 6] from Operation: 82-76=6 Current State: 23:[17, 6], Operations: ['2+15=17', '82-76=6'] Exploring Operation: 17+6=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 39, 90, 47, 23 ]
92
[ "90-39=51", "51-47=4", "23*4=92" ]
Current State: 92:[39, 90, 47, 23], Operations: [] Exploring Operation: 90-39=51, Resulting Numbers: [47, 23, 51] Generated Node #2: [47, 23, 51] from Operation: 90-39=51 Current State: 92:[47, 23, 51], Operations: ['90-39=51'] Exploring Operation: 51-47=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 51-47=4 Current State: 92:[23, 4], Operations: ['90-39=51', '51-47=4'] Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 66, 15, 75, 44 ]
82
[ "66-15=51", "75-44=31", "51+31=82" ]
Current State: 82:[66, 15, 75, 44], Operations: [] Exploring Operation: 66-15=51, Resulting Numbers: [75, 44, 51] Generated Node #2: [75, 44, 51] from Operation: 66-15=51 Current State: 82:[75, 44, 51], Operations: ['66-15=51'] Exploring Operation: 75-44=31, Resulting Numbers: [51, 31] Generated Node #3: [51, 31] from Operation: 75-44=31 Current State: 82:[51, 31], Operations: ['66-15=51', '75-44=31'] Exploring Operation: 51+31=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 53, 71, 9, 95 ]
20
[ "53+71=124", "9+95=104", "124-104=20" ]
Current State: 20:[53, 71, 9, 95], Operations: [] Exploring Operation: 53+71=124, Resulting Numbers: [9, 95, 124] Generated Node #2: [9, 95, 124] from Operation: 53+71=124 Current State: 20:[9, 95, 124], Operations: ['53+71=124'] Exploring Operation: 9+95=104, Resulting Numbers: [124, 104] Generated Node #3: [124, 104] from Operation: 9+95=104 Current State: 20:[124, 104], Operations: ['53+71=124', '9+95=104'] Exploring Operation: 124-104=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 29, 23, 95, 95 ]
29
[ "95-95=0", "23*0=0", "29+0=29" ]
Current State: 29:[29, 23, 95, 95], Operations: [] Exploring Operation: 95-95=0, Resulting Numbers: [29, 23, 0] Generated Node #2: [29, 23, 0] from Operation: 95-95=0 Current State: 29:[29, 23, 0], Operations: ['95-95=0'] Exploring Operation: 23*0=0, Resulting Numbers: [29, 0] Generated Node #3: [29, 0] from Operation: 23*0=0 Current State: 29:[29, 0], Operations: ['95-95=0', '23*0=0'] Exploring Operation: 29+0=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 58, 17, 18, 6 ]
29
[ "58-17=41", "18-6=12", "41-12=29" ]
Current State: 29:[58, 17, 18, 6], Operations: [] Exploring Operation: 58-17=41, Resulting Numbers: [18, 6, 41] Generated Node #2: [18, 6, 41] from Operation: 58-17=41 Current State: 29:[18, 6, 41], Operations: ['58-17=41'] Exploring Operation: 18-6=12, Resulting Numbers: [41, 12] Generated Node #3: [41, 12] from Operation: 18-6=12 Current State: 29:[41, 12], Operations: ['58-17=41', '18-6=12'] Exploring Operation: 41-12=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 28, 80, 40, 6 ]
24
[ "28-6=22", "80/40=2", "22+2=24" ]
Current State: 24:[28, 80, 40, 6], Operations: [] Exploring Operation: 28-6=22, Resulting Numbers: [80, 40, 22] Generated Node #2: [80, 40, 22] from Operation: 28-6=22 Current State: 24:[80, 40, 22], Operations: ['28-6=22'] Exploring Operation: 80/40=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 80/40=2 Current State: 24:[22, 2], Operations: ['28-6=22', '80/40=2'] Exploring Operation: 22+2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 60, 45, 5, 63 ]
90
[ "60+5=65", "65-63=2", "45*2=90" ]
Current State: 90:[60, 45, 5, 63], Operations: [] Exploring Operation: 60+5=65, Resulting Numbers: [45, 63, 65] Generated Node #2: [45, 63, 65] from Operation: 60+5=65 Current State: 90:[45, 63, 65], Operations: ['60+5=65'] Exploring Operation: 65-63=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 65-63=2 Current State: 90:[45, 2], Operations: ['60+5=65', '65-63=2'] Exploring Operation: 45*2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 10, 59, 21, 76 ]
39
[ "10*76=760", "59+760=819", "819/21=39" ]
Current State: 39:[10, 59, 21, 76], Operations: [] Exploring Operation: 10*76=760, Resulting Numbers: [59, 21, 760] Generated Node #2: [59, 21, 760] from Operation: 10*76=760 Current State: 39:[59, 21, 760], Operations: ['10*76=760'] Exploring Operation: 59+760=819, Resulting Numbers: [21, 819] Generated Node #3: [21, 819] from Operation: 59+760=819 Current State: 39:[21, 819], Operations: ['10*76=760', '59+760=819'] Exploring Operation: 819/21=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 20, 23, 63, 42 ]
23
[ "63-20=43", "43-42=1", "23*1=23" ]
Current State: 23:[20, 23, 63, 42], Operations: [] Exploring Operation: 63-20=43, Resulting Numbers: [23, 42, 43] Generated Node #2: [23, 42, 43] from Operation: 63-20=43 Current State: 23:[23, 42, 43], Operations: ['63-20=43'] Exploring Operation: 43-42=1, Resulting Numbers: [23, 1] Generated Node #3: [23, 1] from Operation: 43-42=1 Current State: 23:[23, 1], Operations: ['63-20=43', '43-42=1'] Exploring Operation: 23*1=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 28, 66, 28, 49 ]
17
[ "28+66=94", "28+49=77", "94-77=17" ]
Current State: 17:[28, 66, 28, 49], Operations: [] Exploring Operation: 28+66=94, Resulting Numbers: [49, 94] Generated Node #2: [49, 94] from Operation: 28+66=94 Current State: 17:[49, 94], Operations: ['28+66=94'] Exploring Operation: 28+49=77, Resulting Numbers: [94, 77] Generated Node #3: [94, 77] from Operation: 28+49=77 Current State: 17:[94, 77], Operations: ['28+66=94', '28+49=77'] Exploring Operation: 94-77=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 32, 8, 38, 39 ]
37
[ "32+8=40", "38+39=77", "77-40=37" ]
Current State: 37:[32, 8, 38, 39], Operations: [] Exploring Operation: 32+8=40, Resulting Numbers: [38, 39, 40] Generated Node #2: [38, 39, 40] from Operation: 32+8=40 Current State: 37:[38, 39, 40], Operations: ['32+8=40'] Exploring Operation: 38+39=77, Resulting Numbers: [40, 77] Generated Node #3: [40, 77] from Operation: 38+39=77 Current State: 37:[40, 77], Operations: ['32+8=40', '38+39=77'] Exploring Operation: 77-40=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 60, 51, 84, 16 ]
12
[ "60-51=9", "16-9=7", "84/7=12" ]
Current State: 12:[60, 51, 84, 16], Operations: [] Exploring Operation: 60-51=9, Resulting Numbers: [84, 16, 9] Generated Node #2: [84, 16, 9] from Operation: 60-51=9 Current State: 12:[84, 16, 9], Operations: ['60-51=9'] Exploring Operation: 16-9=7, Resulting Numbers: [84, 7] Generated Node #3: [84, 7] from Operation: 16-9=7 Current State: 12:[84, 7], Operations: ['60-51=9', '16-9=7'] Exploring Operation: 84/7=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 38, 40, 3, 42 ]
79
[ "42-40=2", "38*2=76", "3+76=79" ]
Current State: 79:[38, 40, 3, 42], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [38, 3, 2] Generated Node #2: [38, 3, 2] from Operation: 42-40=2 Current State: 79:[38, 3, 2], Operations: ['42-40=2'] Exploring Operation: 38*2=76, Resulting Numbers: [3, 76] Generated Node #3: [3, 76] from Operation: 38*2=76 Current State: 79:[3, 76], Operations: ['42-40=2', '38*2=76'] Exploring Operation: 3+76=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 53, 53, 3, 78 ]
78
[ "53-53=0", "3*0=0", "78+0=78" ]
Current State: 78:[53, 53, 3, 78], Operations: [] Exploring Operation: 53-53=0, Resulting Numbers: [3, 78, 0] Generated Node #2: [3, 78, 0] from Operation: 53-53=0 Current State: 78:[3, 78, 0], Operations: ['53-53=0'] Exploring Operation: 3*0=0, Resulting Numbers: [78, 0] Generated Node #3: [78, 0] from Operation: 3*0=0 Current State: 78:[78, 0], Operations: ['53-53=0', '3*0=0'] Exploring Operation: 78+0=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 53, 66, 4, 74 ]
85
[ "74-66=8", "4*8=32", "53+32=85" ]
Current State: 85:[53, 66, 4, 74], Operations: [] Exploring Operation: 74-66=8, Resulting Numbers: [53, 4, 8] Generated Node #2: [53, 4, 8] from Operation: 74-66=8 Current State: 85:[53, 4, 8], Operations: ['74-66=8'] Exploring Operation: 4*8=32, Resulting Numbers: [53, 32] Generated Node #3: [53, 32] from Operation: 4*8=32 Current State: 85:[53, 32], Operations: ['74-66=8', '4*8=32'] Exploring Operation: 53+32=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 19, 16, 44, 58 ]
74
[ "19-16=3", "44*3=132", "132-58=74" ]
Current State: 74:[19, 16, 44, 58], Operations: [] Exploring Operation: 19-16=3, Resulting Numbers: [44, 58, 3] Generated Node #2: [44, 58, 3] from Operation: 19-16=3 Current State: 74:[44, 58, 3], Operations: ['19-16=3'] Exploring Operation: 44*3=132, Resulting Numbers: [58, 132] Generated Node #3: [58, 132] from Operation: 44*3=132 Current State: 74:[58, 132], Operations: ['19-16=3', '44*3=132'] Exploring Operation: 132-58=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 82, 22, 5, 23 ]
96
[ "82*5=410", "22*23=506", "506-410=96" ]
Current State: 96:[82, 22, 5, 23], Operations: [] Exploring Operation: 82*5=410, Resulting Numbers: [22, 23, 410] Generated Node #2: [22, 23, 410] from Operation: 82*5=410 Current State: 96:[22, 23, 410], Operations: ['82*5=410'] Exploring Operation: 22*23=506, Resulting Numbers: [410, 506] Generated Node #3: [410, 506] from Operation: 22*23=506 Current State: 96:[410, 506], Operations: ['82*5=410', '22*23=506'] Exploring Operation: 506-410=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 14, 30, 9, 41 ]
12
[ "14+30=44", "41-9=32", "44-32=12" ]
Current State: 12:[14, 30, 9, 41], Operations: [] Exploring Operation: 14+30=44, Resulting Numbers: [9, 41, 44] Generated Node #2: [9, 41, 44] from Operation: 14+30=44 Current State: 12:[9, 41, 44], Operations: ['14+30=44'] Exploring Operation: 41-9=32, Resulting Numbers: [44, 32] Generated Node #3: [44, 32] from Operation: 41-9=32 Current State: 12:[44, 32], Operations: ['14+30=44', '41-9=32'] Exploring Operation: 44-32=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 2, 71, 80, 73 ]
76
[ "71-2=69", "80-73=7", "69+7=76" ]
Current State: 76:[2, 71, 80, 73], Operations: [] Exploring Operation: 71-2=69, Resulting Numbers: [80, 73, 69] Generated Node #2: [80, 73, 69] from Operation: 71-2=69 Current State: 76:[80, 73, 69], Operations: ['71-2=69'] Exploring Operation: 80-73=7, Resulting Numbers: [69, 7] Generated Node #3: [69, 7] from Operation: 80-73=7 Current State: 76:[69, 7], Operations: ['71-2=69', '80-73=7'] Exploring Operation: 69+7=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 94, 62, 39, 66 ]
59
[ "94-62=32", "66-39=27", "32+27=59" ]
Current State: 59:[94, 62, 39, 66], Operations: [] Exploring Operation: 94-62=32, Resulting Numbers: [39, 66, 32] Generated Node #2: [39, 66, 32] from Operation: 94-62=32 Current State: 59:[39, 66, 32], Operations: ['94-62=32'] Exploring Operation: 66-39=27, Resulting Numbers: [32, 27] Generated Node #3: [32, 27] from Operation: 66-39=27 Current State: 59:[32, 27], Operations: ['94-62=32', '66-39=27'] Exploring Operation: 32+27=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 50, 5, 21, 33 ]
43
[ "50+5=55", "33-21=12", "55-12=43" ]
Current State: 43:[50, 5, 21, 33], Operations: [] Exploring Operation: 50+5=55, Resulting Numbers: [21, 33, 55] Generated Node #2: [21, 33, 55] from Operation: 50+5=55 Current State: 43:[21, 33, 55], Operations: ['50+5=55'] Exploring Operation: 33-21=12, Resulting Numbers: [55, 12] Generated Node #3: [55, 12] from Operation: 33-21=12 Current State: 43:[55, 12], Operations: ['50+5=55', '33-21=12'] Exploring Operation: 55-12=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 2, 5, 6, 66 ]
49
[ "2*6=12", "66-5=61", "61-12=49" ]
Current State: 49:[2, 5, 6, 66], Operations: [] Exploring Operation: 2*6=12, Resulting Numbers: [5, 66, 12] Generated Node #2: [5, 66, 12] from Operation: 2*6=12 Current State: 49:[5, 66, 12], Operations: ['2*6=12'] Exploring Operation: 66-5=61, Resulting Numbers: [12, 61] Generated Node #3: [12, 61] from Operation: 66-5=61 Current State: 49:[12, 61], Operations: ['2*6=12', '66-5=61'] Exploring Operation: 61-12=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 59, 25, 5, 55 ]
95
[ "59+25=84", "55/5=11", "84+11=95" ]
Current State: 95:[59, 25, 5, 55], Operations: [] Exploring Operation: 59+25=84, Resulting Numbers: [5, 55, 84] Generated Node #2: [5, 55, 84] from Operation: 59+25=84 Current State: 95:[5, 55, 84], Operations: ['59+25=84'] Exploring Operation: 55/5=11, Resulting Numbers: [84, 11] Generated Node #3: [84, 11] from Operation: 55/5=11 Current State: 95:[84, 11], Operations: ['59+25=84', '55/5=11'] Exploring Operation: 84+11=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 1, 48, 25, 9 ]
82
[ "1*48=48", "25+9=34", "48+34=82" ]
Current State: 82:[1, 48, 25, 9], Operations: [] Exploring Operation: 1*48=48, Resulting Numbers: [25, 9, 48] Generated Node #2: [25, 9, 48] from Operation: 1*48=48 Current State: 82:[25, 9, 48], Operations: ['1*48=48'] Exploring Operation: 25+9=34, Resulting Numbers: [48, 34] Generated Node #3: [48, 34] from Operation: 25+9=34 Current State: 82:[48, 34], Operations: ['1*48=48', '25+9=34'] Exploring Operation: 48+34=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 17, 56, 4, 25 ]
22
[ "25-17=8", "56/4=14", "8+14=22" ]
Current State: 22:[17, 56, 4, 25], Operations: [] Exploring Operation: 25-17=8, Resulting Numbers: [56, 4, 8] Generated Node #2: [56, 4, 8] from Operation: 25-17=8 Current State: 22:[56, 4, 8], Operations: ['25-17=8'] Exploring Operation: 56/4=14, Resulting Numbers: [8, 14] Generated Node #3: [8, 14] from Operation: 56/4=14 Current State: 22:[8, 14], Operations: ['25-17=8', '56/4=14'] Exploring Operation: 8+14=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 35, 53, 85, 22 ]
15
[ "35*53=1855", "85*22=1870", "1870-1855=15" ]
Current State: 15:[35, 53, 85, 22], Operations: [] Exploring Operation: 35*53=1855, Resulting Numbers: [85, 22, 1855] Generated Node #2: [85, 22, 1855] from Operation: 35*53=1855 Current State: 15:[85, 22, 1855], Operations: ['35*53=1855'] Exploring Operation: 85*22=1870, Resulting Numbers: [1855, 1870] Generated Node #3: [1855, 1870] from Operation: 85*22=1870 Current State: 15:[1855, 1870], Operations: ['35*53=1855', '85*22=1870'] Exploring Operation: 1870-1855=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 35, 94, 18, 76 ]
34
[ "94-18=76", "76/76=1", "35-1=34" ]
Current State: 34:[35, 94, 18, 76], Operations: [] Exploring Operation: 94-18=76, Resulting Numbers: [35, 76, 76] Generated Node #2: [35, 76, 76] from Operation: 94-18=76 Current State: 34:[35, 76, 76], Operations: ['94-18=76'] Exploring Operation: 76/76=1, Resulting Numbers: [35, 1] Generated Node #3: [35, 1] from Operation: 76/76=1 Current State: 34:[35, 1], Operations: ['94-18=76', '76/76=1'] Exploring Operation: 35-1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 4, 73, 5, 79 ]
52
[ "5+79=84", "84/4=21", "73-21=52" ]
Current State: 52:[4, 73, 5, 79], Operations: [] Exploring Operation: 5+79=84, Resulting Numbers: [4, 73, 84] Generated Node #2: [4, 73, 84] from Operation: 5+79=84 Current State: 52:[4, 73, 84], Operations: ['5+79=84'] Exploring Operation: 84/4=21, Resulting Numbers: [73, 21] Generated Node #3: [73, 21] from Operation: 84/4=21 Current State: 52:[73, 21], Operations: ['5+79=84', '84/4=21'] Exploring Operation: 73-21=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 46, 64, 13, 39 ]
54
[ "64-46=18", "39/13=3", "18*3=54" ]
Current State: 54:[46, 64, 13, 39], Operations: [] Exploring Operation: 64-46=18, Resulting Numbers: [13, 39, 18] Generated Node #2: [13, 39, 18] from Operation: 64-46=18 Current State: 54:[13, 39, 18], Operations: ['64-46=18'] Exploring Operation: 39/13=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 39/13=3 Current State: 54:[18, 3], Operations: ['64-46=18', '39/13=3'] Exploring Operation: 18*3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 5, 73, 10, 65 ]
10
[ "10/5=2", "73-65=8", "2+8=10" ]
Current State: 10:[5, 73, 10, 65], Operations: [] Exploring Operation: 10/5=2, Resulting Numbers: [73, 65, 2] Generated Node #2: [73, 65, 2] from Operation: 10/5=2 Current State: 10:[73, 65, 2], Operations: ['10/5=2'] Exploring Operation: 73-65=8, Resulting Numbers: [2, 8] Generated Node #3: [2, 8] from Operation: 73-65=8 Current State: 10:[2, 8], Operations: ['10/5=2', '73-65=8'] Exploring Operation: 2+8=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 84, 96, 45, 95 ]
91
[ "84+96=180", "180/45=4", "95-4=91" ]
Current State: 91:[84, 96, 45, 95], Operations: [] Exploring Operation: 84+96=180, Resulting Numbers: [45, 95, 180] Generated Node #2: [45, 95, 180] from Operation: 84+96=180 Current State: 91:[45, 95, 180], Operations: ['84+96=180'] Exploring Operation: 180/45=4, Resulting Numbers: [95, 4] Generated Node #3: [95, 4] from Operation: 180/45=4 Current State: 91:[95, 4], Operations: ['84+96=180', '180/45=4'] Exploring Operation: 95-4=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 52, 31, 7, 4 ]
18
[ "52-31=21", "7-4=3", "21-3=18" ]
Current State: 18:[52, 31, 7, 4], Operations: [] Exploring Operation: 52-31=21, Resulting Numbers: [7, 4, 21] Generated Node #2: [7, 4, 21] from Operation: 52-31=21 Current State: 18:[7, 4, 21], Operations: ['52-31=21'] Exploring Operation: 7-4=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 7-4=3 Current State: 18:[21, 3], Operations: ['52-31=21', '7-4=3'] Exploring Operation: 21-3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 99, 5, 3, 90 ]
51
[ "99/3=33", "90/5=18", "33+18=51" ]
Current State: 51:[99, 5, 3, 90], Operations: [] Exploring Operation: 99/3=33, Resulting Numbers: [5, 90, 33] Generated Node #2: [5, 90, 33] from Operation: 99/3=33 Current State: 51:[5, 90, 33], Operations: ['99/3=33'] Exploring Operation: 90/5=18, Resulting Numbers: [33, 18] Generated Node #3: [33, 18] from Operation: 90/5=18 Current State: 51:[33, 18], Operations: ['99/3=33', '90/5=18'] Exploring Operation: 33+18=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 73, 21, 53, 5 ]
25
[ "73-53=20", "20/5=4", "21+4=25" ]
Current State: 25:[73, 21, 53, 5], Operations: [] Exploring Operation: 73-53=20, Resulting Numbers: [21, 5, 20] Generated Node #2: [21, 5, 20] from Operation: 73-53=20 Current State: 25:[21, 5, 20], Operations: ['73-53=20'] Exploring Operation: 20/5=4, Resulting Numbers: [21, 4] Generated Node #3: [21, 4] from Operation: 20/5=4 Current State: 25:[21, 4], Operations: ['73-53=20', '20/5=4'] Exploring Operation: 21+4=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 10, 58, 89, 3 ]
73
[ "58-10=48", "48/3=16", "89-16=73" ]
Current State: 73:[10, 58, 89, 3], Operations: [] Exploring Operation: 58-10=48, Resulting Numbers: [89, 3, 48] Generated Node #2: [89, 3, 48] from Operation: 58-10=48 Current State: 73:[89, 3, 48], Operations: ['58-10=48'] Exploring Operation: 48/3=16, Resulting Numbers: [89, 16] Generated Node #3: [89, 16] from Operation: 48/3=16 Current State: 73:[89, 16], Operations: ['58-10=48', '48/3=16'] Exploring Operation: 89-16=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 68, 45, 66, 31 ]
38
[ "68-66=2", "45+31=76", "76/2=38" ]
Current State: 38:[68, 45, 66, 31], Operations: [] Exploring Operation: 68-66=2, Resulting Numbers: [45, 31, 2] Generated Node #2: [45, 31, 2] from Operation: 68-66=2 Current State: 38:[45, 31, 2], Operations: ['68-66=2'] Exploring Operation: 45+31=76, Resulting Numbers: [2, 76] Generated Node #3: [2, 76] from Operation: 45+31=76 Current State: 38:[2, 76], Operations: ['68-66=2', '45+31=76'] Exploring Operation: 76/2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 35, 26, 45, 30 ]
74
[ "26*45=1170", "1170/30=39", "35+39=74" ]
Current State: 74:[35, 26, 45, 30], Operations: [] Exploring Operation: 26*45=1170, Resulting Numbers: [35, 30, 1170] Generated Node #2: [35, 30, 1170] from Operation: 26*45=1170 Current State: 74:[35, 30, 1170], Operations: ['26*45=1170'] Exploring Operation: 1170/30=39, Resulting Numbers: [35, 39] Generated Node #3: [35, 39] from Operation: 1170/30=39 Current State: 74:[35, 39], Operations: ['26*45=1170', '1170/30=39'] Exploring Operation: 35+39=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 23, 29, 28, 58 ]
53
[ "23+28=51", "58/29=2", "51+2=53" ]
Current State: 53:[23, 29, 28, 58], Operations: [] Exploring Operation: 23+28=51, Resulting Numbers: [29, 58, 51] Generated Node #2: [29, 58, 51] from Operation: 23+28=51 Current State: 53:[29, 58, 51], Operations: ['23+28=51'] Exploring Operation: 58/29=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 58/29=2 Current State: 53:[51, 2], Operations: ['23+28=51', '58/29=2'] Exploring Operation: 51+2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 58, 52, 87, 9 ]
87
[ "52*87=4524", "4524/58=78", "9+78=87" ]
Current State: 87:[58, 52, 87, 9], Operations: [] Exploring Operation: 52*87=4524, Resulting Numbers: [58, 9, 4524] Generated Node #2: [58, 9, 4524] from Operation: 52*87=4524 Current State: 87:[58, 9, 4524], Operations: ['52*87=4524'] Exploring Operation: 4524/58=78, Resulting Numbers: [9, 78] Generated Node #3: [9, 78] from Operation: 4524/58=78 Current State: 87:[9, 78], Operations: ['52*87=4524', '4524/58=78'] Exploring Operation: 9+78=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 50, 1, 85, 45 ]
80
[ "50*1=50", "85+45=130", "130-50=80" ]
Current State: 80:[50, 1, 85, 45], Operations: [] Exploring Operation: 50*1=50, Resulting Numbers: [85, 45, 50] Generated Node #2: [85, 45, 50] from Operation: 50*1=50 Current State: 80:[85, 45, 50], Operations: ['50*1=50'] Exploring Operation: 85+45=130, Resulting Numbers: [50, 130] Generated Node #3: [50, 130] from Operation: 85+45=130 Current State: 80:[50, 130], Operations: ['50*1=50', '85+45=130'] Exploring Operation: 130-50=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 35, 80, 48, 88 ]
41
[ "88-80=8", "48/8=6", "35+6=41" ]
Current State: 41:[35, 80, 48, 88], Operations: [] Exploring Operation: 88-80=8, Resulting Numbers: [35, 48, 8] Generated Node #2: [35, 48, 8] from Operation: 88-80=8 Current State: 41:[35, 48, 8], Operations: ['88-80=8'] Exploring Operation: 48/8=6, Resulting Numbers: [35, 6] Generated Node #3: [35, 6] from Operation: 48/8=6 Current State: 41:[35, 6], Operations: ['88-80=8', '48/8=6'] Exploring Operation: 35+6=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 10, 5, 1, 12 ]
70
[ "10*1=10", "5*12=60", "10+60=70" ]
Current State: 70:[10, 5, 1, 12], Operations: [] Exploring Operation: 10*1=10, Resulting Numbers: [5, 12, 10] Generated Node #2: [5, 12, 10] from Operation: 10*1=10 Current State: 70:[5, 12, 10], Operations: ['10*1=10'] Exploring Operation: 5*12=60, Resulting Numbers: [10, 60] Generated Node #3: [10, 60] from Operation: 5*12=60 Current State: 70:[10, 60], Operations: ['10*1=10', '5*12=60'] Exploring Operation: 10+60=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4