Split (1)

train · 500k rows

nums listlengths 4 4	target int64 10 100	solution listlengths 3 3	optimal_path stringlengths 282 529	start_size int64 4 4	search_path stringlengths 505 16.8k	rating float64 0 0.99	search_type stringclasses 5 values	heuristic stringclasses 2 values
[ 22, 54, 8, 23 ]	52	[ "22*54=1188", "8+1188=1196", "1196/23=52" ]	Current State: 52:[22, 54, 8, 23], Operations: [] Exploring Operation: 2254=1188, Resulting Numbers: [8, 23, 1188] Generated Node #2: [8, 23, 1188] from Operation: 2254=1188 Current State: 52:[8, 23, 1188], Operations: ['2254=1188'] Exploring Operation: 8+1188=1196, Resulting Numbers: [23, 1196] Generated Node #3: [23, 1196] from Operation: 8+1188=1196 Current State: 52:[23, 1196], Operations: ['2254=1188', '8+1188=1196'] Exploring Operation: 1196/23=52, Resulting Numbers: [52] 52,52 equal: Goal Reached	4	Current State: 52:[22, 54, 8, 23], Operations: [] Exploring Operation: 23-8=15, Resulting Numbers: [22, 54, 15] Generated Node #0,0: 52:[22, 54, 15] Operation: 23-8=15 Exploring Operation: 23-22=1, Resulting Numbers: [54, 8, 1] Generated Node #0,1: 52:[54, 8, 1] Operation: 23-22=1 Exploring Operation: 22+8=30, Resulting Numbers: [54, 23, 30] Generated Node #0,2: 52:[54, 23, 30] Operation: 22+8=30 Exploring Operation: 22-8=14, Resulting Numbers: [54, 23, 14] Generated Node #0,3: 52:[54, 23, 14] Operation: 22-8=14 Moving to Node #0,3 Current State: 52:[54, 23, 14], Operations: ['22-8=14'] Exploring Operation: 23-14=9, Resulting Numbers: [54, 9] Generated Node #0,3,0: 52:[54, 9] Operation: 23-14=9 Exploring Operation: 54-14=40, Resulting Numbers: [23, 40] Generated Node #0,3,1: 52:[23, 40] Operation: 54-14=40 Exploring Operation: 54-23=31, Resulting Numbers: [14, 31] Generated Node #0,3,2: 52:[14, 31] Operation: 54-23=31 Exploring Operation: 23+14=37, Resulting Numbers: [54, 37] Generated Node #0,3,3: 52:[54, 37] Operation: 23+14=37 Moving to Node #0,1 Current State: 52:[54, 8, 1], Operations: ['23-22=1'] Exploring Operation: 541=54, Resulting Numbers: [8, 54] Generated Node #0,1,0: 52:[8, 54] Operation: 541=54 Exploring Operation: 54/1=54, Resulting Numbers: [8, 54] Generated Node #0,1,1: 52:[8, 54] Operation: 54/1=54 Exploring Operation: 8-1=7, Resulting Numbers: [54, 7] Generated Node #0,1,2: 52:[54, 7] Operation: 8-1=7 Exploring Operation: 54-1=53, Resulting Numbers: [8, 53] Generated Node #0,1,3: 52:[8, 53] Operation: 54-1=53 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 52:[54, 7], Operations: ['23-22=1', '8-1=7'] Exploring Operation: 547=378, Resulting Numbers: [378] 378,52 unequal: No Solution Exploring Operation: 54-7=47, Resulting Numbers: [47] 47,52 unequal: No Solution Exploring Operation: 54+7=61, Resulting Numbers: [61] 61,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 52:[8, 53], Operations: ['23-22=1', '54-1=53'] Exploring Operation: 853=424, Resulting Numbers: [424] 424,52 unequal: No Solution Exploring Operation: 53-8=45, Resulting Numbers: [45] 45,52 unequal: No Solution Exploring Operation: 8+53=61, Resulting Numbers: [61] 61,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 52:[8, 54], Operations: ['23-22=1', '541=54'] Exploring Operation: 854=432, Resulting Numbers: [432] 432,52 unequal: No Solution Exploring Operation: 54-8=46, Resulting Numbers: [46] 46,52 unequal: No Solution Exploring Operation: 8+54=62, Resulting Numbers: [62] 62,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 52:[8, 54], Operations: ['23-22=1', '54/1=54'] Exploring Operation: 8+54=62, Resulting Numbers: [62] 62,52 unequal: No Solution Exploring Operation: 54-8=46, Resulting Numbers: [46] 46,52 unequal: No Solution Exploring Operation: 854=432, Resulting Numbers: [432] 432,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 52:[22, 54, 15], Operations: ['23-8=15'] Exploring Operation: 54-22=32, Resulting Numbers: [15, 32] Generated Node #0,0,0: 52:[15, 32] Operation: 54-22=32 Exploring Operation: 22-15=7, Resulting Numbers: [54, 7] Generated Node #0,0,1: 52:[54, 7] Operation: 22-15=7 Exploring Operation: 54-15=39, Resulting Numbers: [22, 39] Generated Node #0,0,2: 52:[22, 39] Operation: 54-15=39 Exploring Operation: 22+15=37, Resulting Numbers: [54, 37] Generated Node #0,0,3: 52:[54, 37] Operation: 22+15=37 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 52:[54, 7], Operations: ['23-8=15', '22-15=7'] Exploring Operation: 54-7=47, Resulting Numbers: [47] 47,52 unequal: No Solution Exploring Operation: 54+7=61, Resulting Numbers: [61] 61,52 unequal: No Solution Exploring Operation: 547=378, Resulting Numbers: [378] 378,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 52:[15, 32], Operations: ['23-8=15', '54-22=32'] Exploring Operation: 15+32=47, Resulting Numbers: [47] 47,52 unequal: No Solution Exploring Operation: 1532=480, Resulting Numbers: [480] 480,52 unequal: No Solution Exploring Operation: 32-15=17, Resulting Numbers: [17] 17,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 52:[54, 37], Operations: ['23-8=15', '22+15=37'] Exploring Operation: 54-37=17, Resulting Numbers: [17] 17,52 unequal: No Solution Exploring Operation: 54+37=91, Resulting Numbers: [91] 91,52 unequal: No Solution Exploring Operation: 5437=1998, Resulting Numbers: [1998] 1998,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 52:[22, 39], Operations: ['23-8=15', '54-15=39'] Exploring Operation: 2239=858, Resulting Numbers: [858] 858,52 unequal: No Solution Exploring Operation: 39-22=17, Resulting Numbers: [17] 17,52 unequal: No Solution Exploring Operation: 22+39=61, Resulting Numbers: [61] 61,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 52:[54, 23, 30], Operations: ['22+8=30'] Exploring Operation: 54-23=31, Resulting Numbers: [30, 31] Generated Node #0,2,0: 52:[30, 31] Operation: 54-23=31 Exploring Operation: 23+30=53, Resulting Numbers: [54, 53] Generated Node #0,2,1: 52:[54, 53] Operation: 23+30=53 Exploring Operation: 54-30=24, Resulting Numbers: [23, 24] Generated Node #0,2,2: 52:[23, 24] Operation: 54-30=24 Exploring Operation: 30-23=7, Resulting Numbers: [54, 7] Generated Node #0,2,3: 52:[54, 7] Operation: 30-23=7 Moving to Node #0,2,1 Current State: 52:[54, 53], Operations: ['22+8=30', '23+30=53'] Exploring Operation: 54-53=1, Resulting Numbers: [1] 1,52 unequal: No Solution Exploring Operation: 5453=2862, Resulting Numbers: [2862] 2862,52 unequal: No Solution Exploring Operation: 54+53=107, Resulting Numbers: [107] 107,52 unequal: No Solution Moving to Node #0,2,2 Current State: 52:[23, 24], Operations: ['22+8=30', '54-30=24'] Exploring Operation: 24-23=1, Resulting Numbers: [1] 1,52 unequal: No Solution Exploring Operation: 2324=552, Resulting Numbers: [552] 552,52 unequal: No Solution Exploring Operation: 23+24=47, Resulting Numbers: [47] 47,52 unequal: No Solution Moving to Node #0,2,3 Current State: 52:[54, 7], Operations: ['22+8=30', '30-23=7'] Exploring Operation: 547=378, Resulting Numbers: [378] 378,52 unequal: No Solution Exploring Operation: 54+7=61, Resulting Numbers: [61] 61,52 unequal: No Solution Exploring Operation: 54-7=47, Resulting Numbers: [47] 47,52 unequal: No Solution Moving to Node #0,3,0 Current State: 52:[54, 9], Operations: ['22-8=14', '23-14=9'] Exploring Operation: 54/9=6, Resulting Numbers: [6] 6,52 unequal: No Solution Exploring Operation: 54+9=63, Resulting Numbers: [63] 63,52 unequal: No Solution Exploring Operation: 54-9=45, Resulting Numbers: [45] 45,52 unequal: No Solution Exploring Operation: 549=486, Resulting Numbers: [486] 486,52 unequal: No Solution Moving to Node #0,3,2 Current State: 52:[14, 31], Operations: ['22-8=14', '54-23=31'] Exploring Operation: 14+31=45, Resulting Numbers: [45] 45,52 unequal: No Solution Exploring Operation: 1431=434, Resulting Numbers: [434] 434,52 unequal: No Solution Exploring Operation: 31-14=17, Resulting Numbers: [17] 17,52 unequal: No Solution Moving to Node #0,2,0 Current State: 52:[30, 31], Operations: ['22+8=30', '54-23=31'] Exploring Operation: 31-30=1, Resulting Numbers: [1] 1,52 unequal: No Solution Exploring Operation: 3031=930, Resulting Numbers: [930] 930,52 unequal: No Solution Exploring Operation: 30+31=61, Resulting Numbers: [61] 61,52 unequal: No Solution Moving to Node #0,3,3 Current State: 52:[54, 37], Operations: ['22-8=14', '23+14=37'] Exploring Operation: 5437=1998, Resulting Numbers: [1998] 1998,52 unequal: No Solution Exploring Operation: 54+37=91, Resulting Numbers: [91] 91,52 unequal: No Solution Exploring Operation: 54-37=17, Resulting Numbers: [17] 17,52 unequal: No Solution Moving to Node #0,3,1 Current State: 52:[23, 40], Operations: ['22-8=14', '54-14=40'] Exploring Operation: 40-23=17, Resulting Numbers: [17] 17,52 unequal: No Solution Exploring Operation: 23*40=920, Resulting Numbers: [920] 920,52 unequal: No Solution Exploring Operation: 23+40=63, Resulting Numbers: [63] 63,52 unequal: No Solution No solution found.	0	hs_4	sum_heuristic
[ 22, 28, 32, 18 ]	15	[ "22-18=4", "28+32=60", "60/4=15" ]	Current State: 15:[22, 28, 32, 18], Operations: [] Exploring Operation: 22-18=4, Resulting Numbers: [28, 32, 4] Generated Node #2: [28, 32, 4] from Operation: 22-18=4 Current State: 15:[28, 32, 4], Operations: ['22-18=4'] Exploring Operation: 28+32=60, Resulting Numbers: [4, 60] Generated Node #3: [4, 60] from Operation: 28+32=60 Current State: 15:[4, 60], Operations: ['22-18=4', '28+32=60'] Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached	4	Current State: 15:[22, 28, 32, 18], Operations: [] Exploring Operation: 32-28=4, Resulting Numbers: [22, 18, 4] Generated Node #0,0: 15:[22, 18, 4] Operation: 32-28=4 Exploring Operation: 28-22=6, Resulting Numbers: [32, 18, 6] Generated Node #0,1: 15:[32, 18, 6] Operation: 28-22=6 Exploring Operation: 32-22=10, Resulting Numbers: [28, 18, 10] Generated Node #0,2: 15:[28, 18, 10] Operation: 32-22=10 Moving to Node #0,0 Current State: 15:[22, 18, 4], Operations: ['32-28=4'] Exploring Operation: 18-4=14, Resulting Numbers: [22, 14] Generated Node #0,0,0: 15:[22, 14] Operation: 18-4=14 Exploring Operation: 22-18=4, Resulting Numbers: [4, 4] Generated Node #0,0,1: 15:[4, 4] Operation: 22-18=4 Exploring Operation: 22-4=18, Resulting Numbers: [18, 18] Generated Node #0,0,2: 15:[18, 18] Operation: 22-4=18 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 15:[4, 4], Operations: ['32-28=4', '22-18=4'] Exploring Operation: 4+4=8, Resulting Numbers: [8] 8,15 unequal: No Solution Exploring Operation: 44=16, Resulting Numbers: [16] 16,15 unequal: No Solution Exploring Operation: 4/4=1, Resulting Numbers: [1] 1,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 15:[18, 18], Operations: ['32-28=4', '22-4=18'] Exploring Operation: 18+18=36, Resulting Numbers: [36] 36,15 unequal: No Solution Exploring Operation: 18-18=0, Resulting Numbers: [0] 0,15 unequal: No Solution Exploring Operation: 18/18=1, Resulting Numbers: [1] 1,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 15:[22, 14], Operations: ['32-28=4', '18-4=14'] Exploring Operation: 22-14=8, Resulting Numbers: [8] 8,15 unequal: No Solution Exploring Operation: 22+14=36, Resulting Numbers: [36] 36,15 unequal: No Solution Exploring Operation: 2214=308, Resulting Numbers: [308] 308,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 15:[32, 18, 6], Operations: ['28-22=6'] Exploring Operation: 32-6=26, Resulting Numbers: [18, 26] Generated Node #0,1,0: 15:[18, 26] Operation: 32-6=26 Exploring Operation: 32-18=14, Resulting Numbers: [6, 14] Generated Node #0,1,1: 15:[6, 14] Operation: 32-18=14 Exploring Operation: 18/6=3, Resulting Numbers: [32, 3] Generated Node #0,1,2: 15:[32, 3] Operation: 18/6=3 Moving to Node #0,2 Current State: 15:[28, 18, 10], Operations: ['32-22=10'] Exploring Operation: 28-18=10, Resulting Numbers: [10, 10] Generated Node #0,2,0: 15:[10, 10] Operation: 28-18=10 Exploring Operation: 28-10=18, Resulting Numbers: [18, 18] Generated Node #0,2,1: 15:[18, 18] Operation: 28-10=18 Exploring Operation: 18-10=8, Resulting Numbers: [28, 8] Generated Node #0,2,2: 15:[28, 8] Operation: 18-10=8 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 15:[18, 18], Operations: ['32-22=10', '28-10=18'] Exploring Operation: 18/18=1, Resulting Numbers: [1] 1,15 unequal: No Solution Exploring Operation: 18-18=0, Resulting Numbers: [0] 0,15 unequal: No Solution Exploring Operation: 18+18=36, Resulting Numbers: [36] 36,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 15:[10, 10], Operations: ['32-22=10', '28-18=10'] Exploring Operation: 10+10=20, Resulting Numbers: [20] 20,15 unequal: No Solution Exploring Operation: 10-10=0, Resulting Numbers: [0] 0,15 unequal: No Solution Exploring Operation: 10/10=1, Resulting Numbers: [1] 1,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 15:[28, 8], Operations: ['32-22=10', '18-10=8'] Exploring Operation: 288=224, Resulting Numbers: [224] 224,15 unequal: No Solution Exploring Operation: 28-8=20, Resulting Numbers: [20] 20,15 unequal: No Solution Exploring Operation: 28+8=36, Resulting Numbers: [36] 36,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,1 Current State: 15:[6, 14], Operations: ['28-22=6', '32-18=14'] Exploring Operation: 614=84, Resulting Numbers: [84] 84,15 unequal: No Solution Exploring Operation: 6+14=20, Resulting Numbers: [20] 20,15 unequal: No Solution Exploring Operation: 14-6=8, Resulting Numbers: [8] 8,15 unequal: No Solution Moving to Node #0,1,0 Current State: 15:[18, 26], Operations: ['28-22=6', '32-6=26'] Exploring Operation: 26-18=8, Resulting Numbers: [8] 8,15 unequal: No Solution Exploring Operation: 18+26=44, Resulting Numbers: [44] 44,15 unequal: No Solution Exploring Operation: 1826=468, Resulting Numbers: [468] 468,15 unequal: No Solution Moving to Node #0,1,2 Current State: 15:[32, 3], Operations: ['28-22=6', '18/6=3'] Exploring Operation: 32-3=29, Resulting Numbers: [29] 29,15 unequal: No Solution Exploring Operation: 323=96, Resulting Numbers: [96] 96,15 unequal: No Solution Exploring Operation: 32+3=35, Resulting Numbers: [35] 35,15 unequal: No Solution No solution found.	0	hs_3	sum_heuristic
[ 94, 30, 92, 3 ]	32	[ "94+92=186", "186/3=62", "62-30=32" ]	Current State: 32:[94, 30, 92, 3], Operations: [] Exploring Operation: 94+92=186, Resulting Numbers: [30, 3, 186] Generated Node #2: [30, 3, 186] from Operation: 94+92=186 Current State: 32:[30, 3, 186], Operations: ['94+92=186'] Exploring Operation: 186/3=62, Resulting Numbers: [30, 62] Generated Node #3: [30, 62] from Operation: 186/3=62 Current State: 32:[30, 62], Operations: ['94+92=186', '186/3=62'] Exploring Operation: 62-30=32, Resulting Numbers: [32] 32,32 equal: Goal Reached	4	Current State: 32:[94, 30, 92, 3], Operations: [] Exploring Operation: 94-92=2, Resulting Numbers: [30, 3, 2] Generated Node #0,0: 32:[30, 3, 2] Operation: 94-92=2 Exploring Operation: 94-30=64, Resulting Numbers: [92, 3, 64] Generated Node #0,1: 32:[92, 3, 64] Operation: 94-30=64 Start Sub Search at level 1: Moving to Node #0,0 Current State: 32:[30, 3, 2], Operations: ['94-92=2'] Exploring Operation: 30+3=33, Resulting Numbers: [2, 33] Generated Node #0,0,0: 32:[2, 33] Operation: 30+3=33 Exploring Operation: 30+2=32, Resulting Numbers: [3, 32] Generated Node #0,0,1: 32:[3, 32] Operation: 30+2=32 Moving to Node #0,0,0 Current State: 32:[2, 33], Operations: ['94-92=2', '30+3=33'] Exploring Operation: 33-2=31, Resulting Numbers: [31] 31,32 unequal: No Solution Exploring Operation: 2+33=35, Resulting Numbers: [35] 35,32 unequal: No Solution Moving to Node #0,0,1 Current State: 32:[3, 32], Operations: ['94-92=2', '30+2=32'] Exploring Operation: 32-3=29, Resulting Numbers: [29] 29,32 unequal: No Solution Exploring Operation: 3+32=35, Resulting Numbers: [35] 35,32 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 32:[92, 3, 64], Operations: ['94-30=64'] Exploring Operation: 92-64=28, Resulting Numbers: [3, 28] Generated Node #0,1,0: 32:[3, 28] Operation: 92-64=28 Exploring Operation: 92-3=89, Resulting Numbers: [64, 89] Generated Node #0,1,1: 32:[64, 89] Operation: 92-3=89 Moving to Node #0,1,0 Current State: 32:[3, 28], Operations: ['94-30=64', '92-64=28'] Exploring Operation: 28-3=25, Resulting Numbers: [25] 25,32 unequal: No Solution Exploring Operation: 3+28=31, Resulting Numbers: [31] 31,32 unequal: No Solution Moving to Node #0,1,1 Current State: 32:[64, 89], Operations: ['94-30=64', '92-3=89'] Exploring Operation: 64+89=153, Resulting Numbers: [153] 153,32 unequal: No Solution Exploring Operation: 89-64=25, Resulting Numbers: [25] 25,32 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	sum_heuristic
[ 3, 17, 76, 87 ]	50	[ "87-76=11", "3*11=33", "17+33=50" ]	Current State: 50:[3, 17, 76, 87], Operations: [] Exploring Operation: 87-76=11, Resulting Numbers: [3, 17, 11] Generated Node #2: [3, 17, 11] from Operation: 87-76=11 Current State: 50:[3, 17, 11], Operations: ['87-76=11'] Exploring Operation: 311=33, Resulting Numbers: [17, 33] Generated Node #3: [17, 33] from Operation: 311=33 Current State: 50:[17, 33], Operations: ['87-76=11', '3*11=33'] Exploring Operation: 17+33=50, Resulting Numbers: [50] 50,50 equal: Goal Reached	4	Current State: 50:[3, 17, 76, 87], Operations: [] Exploring Operation: 87/3=29, Resulting Numbers: [17, 76, 29] Generated Node #0,0: 50:[17, 76, 29] Operation: 87/3=29 Exploring Operation: 87-76=11, Resulting Numbers: [3, 17, 11] Generated Node #0,1: 50:[3, 17, 11] Operation: 87-76=11 Start Sub Search at level 1: Moving to Node #0,1 Current State: 50:[3, 17, 11], Operations: ['87-76=11'] Exploring Operation: 317=51, Resulting Numbers: [11, 51] Generated Node #0,1,0: 50:[11, 51] Operation: 317=51 Exploring Operation: 17-11=6, Resulting Numbers: [3, 6] Generated Node #0,1,1: 50:[3, 6] Operation: 17-11=6 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 50:[11, 51], Operations: ['87-76=11', '3*17=51'] Exploring Operation: 11+51=62, Resulting Numbers: [62] 62,50 unequal: No Solution Exploring Operation: 51-11=40, Resulting Numbers: [40] 40,50 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 50:[3, 6], Operations: ['87-76=11', '17-11=6'] Exploring Operation: 6/3=2, Resulting Numbers: [2] 2,50 unequal: No Solution Exploring Operation: 3+6=9, Resulting Numbers: [9] 9,50 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 50:[17, 76, 29], Operations: ['87/3=29'] Exploring Operation: 76-17=59, Resulting Numbers: [29, 59] Generated Node #0,0,0: 50:[29, 59] Operation: 76-17=59 Exploring Operation: 76-29=47, Resulting Numbers: [17, 47] Generated Node #0,0,1: 50:[17, 47] Operation: 76-29=47 Moving to Node #0,0,1 Current State: 50:[17, 47], Operations: ['87/3=29', '76-29=47'] Exploring Operation: 47-17=30, Resulting Numbers: [30] 30,50 unequal: No Solution Exploring Operation: 17+47=64, Resulting Numbers: [64] 64,50 unequal: No Solution Moving to Node #0,0,0 Current State: 50:[29, 59], Operations: ['87/3=29', '76-17=59'] Exploring Operation: 59-29=30, Resulting Numbers: [30] 30,50 unequal: No Solution Exploring Operation: 29+59=88, Resulting Numbers: [88] 88,50 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	sum_heuristic
[ 87, 66, 60, 21 ]	39	[ "66-60=6", "21*6=126", "126-87=39" ]	Current State: 39:[87, 66, 60, 21], Operations: [] Exploring Operation: 66-60=6, Resulting Numbers: [87, 21, 6] Generated Node #2: [87, 21, 6] from Operation: 66-60=6 Current State: 39:[87, 21, 6], Operations: ['66-60=6'] Exploring Operation: 216=126, Resulting Numbers: [87, 126] Generated Node #3: [87, 126] from Operation: 216=126 Current State: 39:[87, 126], Operations: ['66-60=6', '21*6=126'] Exploring Operation: 126-87=39, Resulting Numbers: [39] 39,39 equal: Goal Reached	4	Current State: 39:[87, 66, 60, 21], Operations: [] Exploring Operation: 87-60=27, Resulting Numbers: [66, 21, 27] Generated Node #0,0: 39:[66, 21, 27] Operation: 87-60=27 Exploring Operation: 66-21=45, Resulting Numbers: [87, 60, 45] Generated Node #0,1: 39:[87, 60, 45] Operation: 66-21=45 Exploring Operation: 87-66=21, Resulting Numbers: [60, 21, 21] Generated Node #0,2: 39:[60, 21, 21] Operation: 87-66=21 Exploring Operation: 87-21=66, Resulting Numbers: [66, 60, 66] Generated Node #0,3: 39:[66, 60, 66] Operation: 87-21=66 Exploring Operation: 66-60=6, Resulting Numbers: [87, 21, 6] Generated Node #0,4: 39:[87, 21, 6] Operation: 66-60=6 Moving to Node #0,2 Current State: 39:[60, 21, 21], Operations: ['87-66=21'] Exploring Operation: 21/21=1, Resulting Numbers: [60, 1] Generated Node #0,2,0: 39:[60, 1] Operation: 21/21=1 Exploring Operation: 21-21=0, Resulting Numbers: [60, 0] Generated Node #0,2,1: 39:[60, 0] Operation: 21-21=0 Exploring Operation: 60-21=39, Resulting Numbers: [21, 39] Generated Node #0,2,2: 39:[21, 39] Operation: 60-21=39 Exploring Operation: 60-21=39, Resulting Numbers: [21, 39] Generated Node #0,2,3: 39:[21, 39] Operation: 60-21=39 Exploring Operation: 21+21=42, Resulting Numbers: [60, 42] Generated Node #0,2,4: 39:[60, 42] Operation: 21+21=42 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 39:[21, 39], Operations: ['87-66=21', '60-21=39'] Exploring Operation: 21+39=60, Resulting Numbers: [60] 60,39 unequal: No Solution Exploring Operation: 2139=819, Resulting Numbers: [819] 819,39 unequal: No Solution Exploring Operation: 39-21=18, Resulting Numbers: [18] 18,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 39:[21, 39], Operations: ['87-66=21', '60-21=39'] Exploring Operation: 2139=819, Resulting Numbers: [819] 819,39 unequal: No Solution Exploring Operation: 39-21=18, Resulting Numbers: [18] 18,39 unequal: No Solution Exploring Operation: 21+39=60, Resulting Numbers: [60] 60,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 39:[60, 1], Operations: ['87-66=21', '21/21=1'] Exploring Operation: 601=60, Resulting Numbers: [60] 60,39 unequal: No Solution Exploring Operation: 60/1=60, Resulting Numbers: [60] 60,39 unequal: No Solution Exploring Operation: 60-1=59, Resulting Numbers: [59] 59,39 unequal: No Solution Exploring Operation: 60+1=61, Resulting Numbers: [61] 61,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 39:[60, 0], Operations: ['87-66=21', '21-21=0'] Exploring Operation: 60+0=60, Resulting Numbers: [60] 60,39 unequal: No Solution Exploring Operation: 60-0=60, Resulting Numbers: [60] 60,39 unequal: No Solution Exploring Operation: 600=0, Resulting Numbers: [0] 0,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 39:[60, 42], Operations: ['87-66=21', '21+21=42'] Exploring Operation: 60+42=102, Resulting Numbers: [102] 102,39 unequal: No Solution Exploring Operation: 6042=2520, Resulting Numbers: [2520] 2520,39 unequal: No Solution Exploring Operation: 60-42=18, Resulting Numbers: [18] 18,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 39:[66, 21, 27], Operations: ['87-60=27'] Exploring Operation: 66-27=39, Resulting Numbers: [21, 39] Generated Node #0,0,0: 39:[21, 39] Operation: 66-27=39 Exploring Operation: 27-21=6, Resulting Numbers: [66, 6] Generated Node #0,0,1: 39:[66, 6] Operation: 27-21=6 Exploring Operation: 66-21=45, Resulting Numbers: [27, 45] Generated Node #0,0,2: 39:[27, 45] Operation: 66-21=45 Exploring Operation: 66+21=87, Resulting Numbers: [27, 87] Generated Node #0,0,3: 39:[27, 87] Operation: 66+21=87 Exploring Operation: 21+27=48, Resulting Numbers: [66, 48] Generated Node #0,0,4: 39:[66, 48] Operation: 21+27=48 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 39:[21, 39], Operations: ['87-60=27', '66-27=39'] Exploring Operation: 2139=819, Resulting Numbers: [819] 819,39 unequal: No Solution Exploring Operation: 21+39=60, Resulting Numbers: [60] 60,39 unequal: No Solution Exploring Operation: 39-21=18, Resulting Numbers: [18] 18,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 39:[27, 45], Operations: ['87-60=27', '66-21=45'] Exploring Operation: 2745=1215, Resulting Numbers: [1215] 1215,39 unequal: No Solution Exploring Operation: 45-27=18, Resulting Numbers: [18] 18,39 unequal: No Solution Exploring Operation: 27+45=72, Resulting Numbers: [72] 72,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 39:[66, 6], Operations: ['87-60=27', '27-21=6'] Exploring Operation: 666=396, Resulting Numbers: [396] 396,39 unequal: No Solution Exploring Operation: 66-6=60, Resulting Numbers: [60] 60,39 unequal: No Solution Exploring Operation: 66/6=11, Resulting Numbers: [11] 11,39 unequal: No Solution Exploring Operation: 66+6=72, Resulting Numbers: [72] 72,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 39:[66, 48], Operations: ['87-60=27', '21+27=48'] Exploring Operation: 66+48=114, Resulting Numbers: [114] 114,39 unequal: No Solution Exploring Operation: 6648=3168, Resulting Numbers: [3168] 3168,39 unequal: No Solution Exploring Operation: 66-48=18, Resulting Numbers: [18] 18,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 39:[27, 87], Operations: ['87-60=27', '66+21=87'] Exploring Operation: 27+87=114, Resulting Numbers: [114] 114,39 unequal: No Solution Exploring Operation: 2787=2349, Resulting Numbers: [2349] 2349,39 unequal: No Solution Exploring Operation: 87-27=60, Resulting Numbers: [60] 60,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4 Current State: 39:[87, 21, 6], Operations: ['66-60=6'] Exploring Operation: 21+6=27, Resulting Numbers: [87, 27] Generated Node #0,4,0: 39:[87, 27] Operation: 21+6=27 Exploring Operation: 87-21=66, Resulting Numbers: [6, 66] Generated Node #0,4,1: 39:[6, 66] Operation: 87-21=66 Exploring Operation: 21-6=15, Resulting Numbers: [87, 15] Generated Node #0,4,2: 39:[87, 15] Operation: 21-6=15 Exploring Operation: 87-6=81, Resulting Numbers: [21, 81] Generated Node #0,4,3: 39:[21, 81] Operation: 87-6=81 Exploring Operation: 87+6=93, Resulting Numbers: [21, 93] Generated Node #0,4,4: 39:[21, 93] Operation: 87+6=93 Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 39:[6, 66], Operations: ['66-60=6', '87-21=66'] Exploring Operation: 6+66=72, Resulting Numbers: [72] 72,39 unequal: No Solution Exploring Operation: 66/6=11, Resulting Numbers: [11] 11,39 unequal: No Solution Exploring Operation: 666=396, Resulting Numbers: [396] 396,39 unequal: No Solution Exploring Operation: 66-6=60, Resulting Numbers: [60] 60,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 39:[87, 15], Operations: ['66-60=6', '21-6=15'] Exploring Operation: 87+15=102, Resulting Numbers: [102] 102,39 unequal: No Solution Exploring Operation: 87-15=72, Resulting Numbers: [72] 72,39 unequal: No Solution Exploring Operation: 8715=1305, Resulting Numbers: [1305] 1305,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 39:[21, 81], Operations: ['66-60=6', '87-6=81'] Exploring Operation: 2181=1701, Resulting Numbers: [1701] 1701,39 unequal: No Solution Exploring Operation: 81-21=60, Resulting Numbers: [60] 60,39 unequal: No Solution Exploring Operation: 21+81=102, Resulting Numbers: [102] 102,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 39:[87, 27], Operations: ['66-60=6', '21+6=27'] Exploring Operation: 87+27=114, Resulting Numbers: [114] 114,39 unequal: No Solution Exploring Operation: 87-27=60, Resulting Numbers: [60] 60,39 unequal: No Solution Exploring Operation: 8727=2349, Resulting Numbers: [2349] 2349,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 39:[21, 93], Operations: ['66-60=6', '87+6=93'] Exploring Operation: 93-21=72, Resulting Numbers: [72] 72,39 unequal: No Solution Exploring Operation: 2193=1953, Resulting Numbers: [1953] 1953,39 unequal: No Solution Exploring Operation: 21+93=114, Resulting Numbers: [114] 114,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 39:[87, 60, 45], Operations: ['66-21=45'] Exploring Operation: 87+45=132, Resulting Numbers: [60, 132] Generated Node #0,1,0: 39:[60, 132] Operation: 87+45=132 Exploring Operation: 87-45=42, Resulting Numbers: [60, 42] Generated Node #0,1,1: 39:[60, 42] Operation: 87-45=42 Exploring Operation: 87-60=27, Resulting Numbers: [45, 27] Generated Node #0,1,2: 39:[45, 27] Operation: 87-60=27 Exploring Operation: 87+60=147, Resulting Numbers: [45, 147] Generated Node #0,1,3: 39:[45, 147] Operation: 87+60=147 Exploring Operation: 60-45=15, Resulting Numbers: [87, 15] Generated Node #0,1,4: 39:[87, 15] Operation: 60-45=15 Moving to Node #0,3 Current State: 39:[66, 60, 66], Operations: ['87-21=66'] Exploring Operation: 66-66=0, Resulting Numbers: [60, 0] Generated Node #0,3,0: 39:[60, 0] Operation: 66-66=0 Exploring Operation: 66/66=1, Resulting Numbers: [60, 1] Generated Node #0,3,1: 39:[60, 1] Operation: 66/66=1 Exploring Operation: 66-60=6, Resulting Numbers: [66, 6] Generated Node #0,3,2: 39:[66, 6] Operation: 66-60=6 Exploring Operation: 66+60=126, Resulting Numbers: [66, 126] Generated Node #0,3,3: 39:[66, 126] Operation: 66+60=126 Exploring Operation: 66-60=6, Resulting Numbers: [66, 6] Generated Node #0,3,4: 39:[66, 6] Operation: 66-60=6 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 39:[60, 1], Operations: ['87-21=66', '66/66=1'] Exploring Operation: 60+1=61, Resulting Numbers: [61] 61,39 unequal: No Solution Exploring Operation: 60/1=60, Resulting Numbers: [60] 60,39 unequal: No Solution Exploring Operation: 60-1=59, Resulting Numbers: [59] 59,39 unequal: No Solution Exploring Operation: 601=60, Resulting Numbers: [60] 60,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 39:[60, 0], Operations: ['87-21=66', '66-66=0'] Exploring Operation: 600=0, Resulting Numbers: [0] 0,39 unequal: No Solution Exploring Operation: 60+0=60, Resulting Numbers: [60] 60,39 unequal: No Solution Exploring Operation: 60-0=60, Resulting Numbers: [60] 60,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 39:[66, 6], Operations: ['87-21=66', '66-60=6'] Exploring Operation: 66-6=60, Resulting Numbers: [60] 60,39 unequal: No Solution Exploring Operation: 66/6=11, Resulting Numbers: [11] 11,39 unequal: No Solution Exploring Operation: 666=396, Resulting Numbers: [396] 396,39 unequal: No Solution Exploring Operation: 66+6=72, Resulting Numbers: [72] 72,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 39:[66, 6], Operations: ['87-21=66', '66-60=6'] Exploring Operation: 66/6=11, Resulting Numbers: [11] 11,39 unequal: No Solution Exploring Operation: 666=396, Resulting Numbers: [396] 396,39 unequal: No Solution Exploring Operation: 66-6=60, Resulting Numbers: [60] 60,39 unequal: No Solution Exploring Operation: 66+6=72, Resulting Numbers: [72] 72,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 39:[66, 126], Operations: ['87-21=66', '66+60=126'] Exploring Operation: 66+126=192, Resulting Numbers: [192] 192,39 unequal: No Solution Exploring Operation: 126-66=60, Resulting Numbers: [60] 60,39 unequal: No Solution Exploring Operation: 66126=8316, Resulting Numbers: [8316] 8316,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,2 Current State: 39:[45, 27], Operations: ['66-21=45', '87-60=27'] Exploring Operation: 45-27=18, Resulting Numbers: [18] 18,39 unequal: No Solution Exploring Operation: 45+27=72, Resulting Numbers: [72] 72,39 unequal: No Solution Exploring Operation: 4527=1215, Resulting Numbers: [1215] 1215,39 unequal: No Solution Moving to Node #0,1,1 Current State: 39:[60, 42], Operations: ['66-21=45', '87-45=42'] Exploring Operation: 6042=2520, Resulting Numbers: [2520] 2520,39 unequal: No Solution Exploring Operation: 60-42=18, Resulting Numbers: [18] 18,39 unequal: No Solution Exploring Operation: 60+42=102, Resulting Numbers: [102] 102,39 unequal: No Solution Moving to Node #0,1,4 Current State: 39:[87, 15], Operations: ['66-21=45', '60-45=15'] Exploring Operation: 8715=1305, Resulting Numbers: [1305] 1305,39 unequal: No Solution Exploring Operation: 87+15=102, Resulting Numbers: [102] 102,39 unequal: No Solution Exploring Operation: 87-15=72, Resulting Numbers: [72] 72,39 unequal: No Solution Moving to Node #0,1,0 Current State: 39:[60, 132], Operations: ['66-21=45', '87+45=132'] Exploring Operation: 132-60=72, Resulting Numbers: [72] 72,39 unequal: No Solution Exploring Operation: 60132=7920, Resulting Numbers: [7920] 7920,39 unequal: No Solution Exploring Operation: 60+132=192, Resulting Numbers: [192] 192,39 unequal: No Solution Moving to Node #0,1,3 Current State: 39:[45, 147], Operations: ['66-21=45', '87+60=147'] Exploring Operation: 45+147=192, Resulting Numbers: [192] 192,39 unequal: No Solution Exploring Operation: 45*147=6615, Resulting Numbers: [6615] 6615,39 unequal: No Solution Exploring Operation: 147-45=102, Resulting Numbers: [102] 102,39 unequal: No Solution No solution found.	0	hs_5	sum_heuristic
[ 36, 20, 39, 11 ]	34	[ "36-20=16", "39+11=50", "50-16=34" ]	Current State: 34:[36, 20, 39, 11], Operations: [] Exploring Operation: 36-20=16, Resulting Numbers: [39, 11, 16] Generated Node #2: [39, 11, 16] from Operation: 36-20=16 Current State: 34:[39, 11, 16], Operations: ['36-20=16'] Exploring Operation: 39+11=50, Resulting Numbers: [16, 50] Generated Node #3: [16, 50] from Operation: 39+11=50 Current State: 34:[16, 50], Operations: ['36-20=16', '39+11=50'] Exploring Operation: 50-16=34, Resulting Numbers: [34] 34,34 equal: Goal Reached	4	Current State: 34:[36, 20, 39, 11], Operations: [] Exploring Operation: 39-36=3, Resulting Numbers: [20, 11, 3] Generated Node #0,0: 34:[20, 11, 3] Operation: 39-36=3 Exploring Operation: 39-20=19, Resulting Numbers: [36, 11, 19] Generated Node #0,1: 34:[36, 11, 19] Operation: 39-20=19 Exploring Operation: 20+11=31, Resulting Numbers: [36, 39, 31] Generated Node #0,2: 34:[36, 39, 31] Operation: 20+11=31 Moving to Node #0,0 Current State: 34:[20, 11, 3], Operations: ['39-36=3'] Exploring Operation: 113=33, Resulting Numbers: [20, 33] Generated Node #0,0,0: 34:[20, 33] Operation: 113=33 Exploring Operation: 20+11=31, Resulting Numbers: [3, 31] Generated Node #0,0,1: 34:[3, 31] Operation: 20+11=31 Exploring Operation: 20-3=17, Resulting Numbers: [11, 17] Generated Node #0,0,2: 34:[11, 17] Operation: 20-3=17 Moving to Node #0,1 Current State: 34:[36, 11, 19], Operations: ['39-20=19'] Exploring Operation: 19-11=8, Resulting Numbers: [36, 8] Generated Node #0,1,0: 34:[36, 8] Operation: 19-11=8 Exploring Operation: 36-19=17, Resulting Numbers: [11, 17] Generated Node #0,1,1: 34:[11, 17] Operation: 36-19=17 Exploring Operation: 11+19=30, Resulting Numbers: [36, 30] Generated Node #0,1,2: 34:[36, 30] Operation: 11+19=30 Moving to Node #0,2 Current State: 34:[36, 39, 31], Operations: ['20+11=31'] Exploring Operation: 39-31=8, Resulting Numbers: [36, 8] Generated Node #0,2,0: 34:[36, 8] Operation: 39-31=8 Exploring Operation: 36-31=5, Resulting Numbers: [39, 5] Generated Node #0,2,1: 34:[39, 5] Operation: 36-31=5 Exploring Operation: 39-36=3, Resulting Numbers: [31, 3] Generated Node #0,2,2: 34:[31, 3] Operation: 39-36=3 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 34:[31, 3], Operations: ['20+11=31', '39-36=3'] Exploring Operation: 31*3=93, Resulting Numbers: [93] 93,34 unequal: No Solution Exploring Operation: 31+3=34, Resulting Numbers: [34] 34,34 equal: Goal Reached Moving to Node #0 Current State: 34:[36, 20, 39, 11], Operations: [] Exploring Operation: 20+11=31, Resulting Numbers: [36, 39, 31] Generated Node #0,2: 34:[36, 39, 31] Operation: 20+11=31 Moving to Node #0,2 Current State: 34:[36, 39, 31], Operations: ['20+11=31'] Exploring Operation: 39-36=3, Resulting Numbers: [31, 3] Generated Node #0,2,2: 34:[31, 3] Operation: 39-36=3 Moving to Node #0,2,2 Current State: 34:[31, 3], Operations: ['20+11=31', '39-36=3'] Exploring Operation: 31+3=34, Resulting Numbers: [34] 34,34 equal: Goal Reached Exit Sub Search at level 1	0.984375	hs_3	mult_heuristic
[ 62, 93, 64, 1 ]	94	[ "93-62=31", "64-1=63", "31+63=94" ]	Current State: 94:[62, 93, 64, 1], Operations: [] Exploring Operation: 93-62=31, Resulting Numbers: [64, 1, 31] Generated Node #2: [64, 1, 31] from Operation: 93-62=31 Current State: 94:[64, 1, 31], Operations: ['93-62=31'] Exploring Operation: 64-1=63, Resulting Numbers: [31, 63] Generated Node #3: [31, 63] from Operation: 64-1=63 Current State: 94:[31, 63], Operations: ['93-62=31', '64-1=63'] Exploring Operation: 31+63=94, Resulting Numbers: [94] 94,94 equal: Goal Reached	4	Current State: 94:[62, 93, 64, 1], Operations: [] Exploring Operation: 62-1=61, Resulting Numbers: [93, 64, 61] Generated Node #0,0: 94:[93, 64, 61] Operation: 62-1=61 Exploring Operation: 93+1=94, Resulting Numbers: [62, 64, 94] Generated Node #0,1: 94:[62, 64, 94] Operation: 93+1=94 Exploring Operation: 64-62=2, Resulting Numbers: [93, 1, 2] Generated Node #0,2: 94:[93, 1, 2] Operation: 64-62=2 Start Sub Search at level 1: Moving to Node #0,2 Current State: 94:[93, 1, 2], Operations: ['64-62=2'] Exploring Operation: 931=93, Resulting Numbers: [2, 93] Generated Node #0,2,0: 94:[2, 93] Operation: 931=93 Exploring Operation: 93+1=94, Resulting Numbers: [2, 94] Generated Node #0,2,1: 94:[2, 94] Operation: 93+1=94 Exploring Operation: 93/1=93, Resulting Numbers: [2, 93] Generated Node #0,2,2: 94:[2, 93] Operation: 93/1=93 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 94:[2, 94], Operations: ['64-62=2', '93+1=94'] Exploring Operation: 2+94=96, Resulting Numbers: [96] 96,94 unequal: No Solution Exploring Operation: 94/2=47, Resulting Numbers: [47] 47,94 unequal: No Solution Exploring Operation: 94-2=92, Resulting Numbers: [92] 92,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 94:[2, 93], Operations: ['64-62=2', '931=93'] Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,94 unequal: No Solution Exploring Operation: 2+93=95, Resulting Numbers: [95] 95,94 unequal: No Solution Exploring Operation: 293=186, Resulting Numbers: [186] 186,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 94:[2, 93], Operations: ['64-62=2', '93/1=93'] Exploring Operation: 2+93=95, Resulting Numbers: [95] 95,94 unequal: No Solution Exploring Operation: 293=186, Resulting Numbers: [186] 186,94 unequal: No Solution Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 94:[93, 64, 61], Operations: ['62-1=61'] Exploring Operation: 93-64=29, Resulting Numbers: [61, 29] Generated Node #0,0,0: 94:[61, 29] Operation: 93-64=29 Exploring Operation: 64-61=3, Resulting Numbers: [93, 3] Generated Node #0,0,1: 94:[93, 3] Operation: 64-61=3 Exploring Operation: 93-61=32, Resulting Numbers: [64, 32] Generated Node #0,0,2: 94:[64, 32] Operation: 93-61=32 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 94:[93, 3], Operations: ['62-1=61', '64-61=3'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,94 unequal: No Solution Exploring Operation: 93-3=90, Resulting Numbers: [90] 90,94 unequal: No Solution Exploring Operation: 93+3=96, Resulting Numbers: [96] 96,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 94:[61, 29], Operations: ['62-1=61', '93-64=29'] Exploring Operation: 61+29=90, Resulting Numbers: [90] 90,94 unequal: No Solution Exploring Operation: 61-29=32, Resulting Numbers: [32] 32,94 unequal: No Solution Exploring Operation: 6129=1769, Resulting Numbers: [1769] 1769,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 94:[64, 32], Operations: ['62-1=61', '93-61=32'] Exploring Operation: 64/32=2, Resulting Numbers: [2] 2,94 unequal: No Solution Exploring Operation: 64+32=96, Resulting Numbers: [96] 96,94 unequal: No Solution Exploring Operation: 64-32=32, Resulting Numbers: [32] 32,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 94:[62, 64, 94], Operations: ['93+1=94'] Exploring Operation: 64-62=2, Resulting Numbers: [94, 2] Generated Node #0,1,0: 94:[94, 2] Operation: 64-62=2 Exploring Operation: 94-62=32, Resulting Numbers: [64, 32] Generated Node #0,1,1: 94:[64, 32] Operation: 94-62=32 Exploring Operation: 62+64=126, Resulting Numbers: [94, 126] Generated Node #0,1,2: 94:[94, 126] Operation: 62+64=126 Moving to Node #0,1,0 Current State: 94:[94, 2], Operations: ['93+1=94', '64-62=2'] Exploring Operation: 94-2=92, Resulting Numbers: [92] 92,94 unequal: No Solution Exploring Operation: 94/2=47, Resulting Numbers: [47] 47,94 unequal: No Solution Exploring Operation: 94+2=96, Resulting Numbers: [96] 96,94 unequal: No Solution Moving to Node #0,1,1 Current State: 94:[64, 32], Operations: ['93+1=94', '94-62=32'] Exploring Operation: 64+32=96, Resulting Numbers: [96] 96,94 unequal: No Solution Exploring Operation: 64/32=2, Resulting Numbers: [2] 2,94 unequal: No Solution Exploring Operation: 64-32=32, Resulting Numbers: [32] 32,94 unequal: No Solution Moving to Node #0,1,2 Current State: 94:[94, 126], Operations: ['93+1=94', '62+64=126'] Exploring Operation: 126-94=32, Resulting Numbers: [32] 32,94 unequal: No Solution Exploring Operation: 94*126=11844, Resulting Numbers: [11844] 11844,94 unequal: No Solution Exploring Operation: 94+126=220, Resulting Numbers: [220] 220,94 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_3	sum_heuristic
[ 36, 34, 96, 98 ]	19	[ "98-96=2", "34/2=17", "36-17=19" ]	Current State: 19:[36, 34, 96, 98], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [36, 34, 2] Generated Node #2: [36, 34, 2] from Operation: 98-96=2 Current State: 19:[36, 34, 2], Operations: ['98-96=2'] Exploring Operation: 34/2=17, Resulting Numbers: [36, 17] Generated Node #3: [36, 17] from Operation: 34/2=17 Current State: 19:[36, 17], Operations: ['98-96=2', '34/2=17'] Exploring Operation: 36-17=19, Resulting Numbers: [19] 19,19 equal: Goal Reached	4	Current State: 19:[36, 34, 96, 98], Operations: [] Exploring Operation: 98-36=62, Resulting Numbers: [34, 96, 62] Generated Node #0,0: 19:[34, 96, 62] Operation: 98-36=62 Exploring Operation: 96-34=62, Resulting Numbers: [36, 98, 62] Generated Node #0,1: 19:[36, 98, 62] Operation: 96-34=62 Exploring Operation: 98-34=64, Resulting Numbers: [36, 96, 64] Generated Node #0,2: 19:[36, 96, 64] Operation: 98-34=64 Exploring Operation: 98-96=2, Resulting Numbers: [36, 34, 2] Generated Node #0,3: 19:[36, 34, 2] Operation: 98-96=2 Exploring Operation: 96-36=60, Resulting Numbers: [34, 98, 60] Generated Node #0,4: 19:[34, 98, 60] Operation: 96-36=60 Moving to Node #0,3 Current State: 19:[36, 34, 2], Operations: ['98-96=2'] Exploring Operation: 36/2=18, Resulting Numbers: [34, 18] Generated Node #0,3,0: 19:[34, 18] Operation: 36/2=18 Exploring Operation: 36-2=34, Resulting Numbers: [34, 34] Generated Node #0,3,1: 19:[34, 34] Operation: 36-2=34 Exploring Operation: 36-34=2, Resulting Numbers: [2, 2] Generated Node #0,3,2: 19:[2, 2] Operation: 36-34=2 Exploring Operation: 34/2=17, Resulting Numbers: [36, 17] Generated Node #0,3,3: 19:[36, 17] Operation: 34/2=17 Exploring Operation: 34-2=32, Resulting Numbers: [36, 32] Generated Node #0,3,4: 19:[36, 32] Operation: 34-2=32 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 19:[34, 18], Operations: ['98-96=2', '36/2=18'] Exploring Operation: 34+18=52, Resulting Numbers: [52] 52,19 unequal: No Solution Exploring Operation: 3418=612, Resulting Numbers: [612] 612,19 unequal: No Solution Exploring Operation: 34-18=16, Resulting Numbers: [16] 16,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 19:[36, 17], Operations: ['98-96=2', '34/2=17'] Exploring Operation: 36+17=53, Resulting Numbers: [53] 53,19 unequal: No Solution Exploring Operation: 3617=612, Resulting Numbers: [612] 612,19 unequal: No Solution Exploring Operation: 36-17=19, Resulting Numbers: [19] 19,19 equal: Goal Reached Moving to Node #0 Current State: 19:[36, 34, 96, 98], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [36, 34, 2] Generated Node #0,3: 19:[36, 34, 2] Operation: 98-96=2 Moving to Node #0,3 Current State: 19:[36, 34, 2], Operations: ['98-96=2'] Exploring Operation: 34/2=17, Resulting Numbers: [36, 17] Generated Node #0,3,3: 19:[36, 17] Operation: 34/2=17 Moving to Node #0,3,3 Current State: 19:[36, 17], Operations: ['98-96=2', '34/2=17'] Exploring Operation: 36-17=19, Resulting Numbers: [19] 19,19 equal: Goal Reached Exit Sub Search at level 1	0.982639	hs_5	mult_heuristic
[ 87, 37, 63, 31 ]	92	[ "87+37=124", "63-31=32", "124-32=92" ]	Current State: 92:[87, 37, 63, 31], Operations: [] Exploring Operation: 87+37=124, Resulting Numbers: [63, 31, 124] Generated Node #2: [63, 31, 124] from Operation: 87+37=124 Current State: 92:[63, 31, 124], Operations: ['87+37=124'] Exploring Operation: 63-31=32, Resulting Numbers: [124, 32] Generated Node #3: [124, 32] from Operation: 63-31=32 Current State: 92:[124, 32], Operations: ['87+37=124', '63-31=32'] Exploring Operation: 124-32=92, Resulting Numbers: [92] 92,92 equal: Goal Reached	4	Current State: 92:[87, 37, 63, 31], Operations: [] Exploring Operation: 37+63=100, Resulting Numbers: [87, 31, 100] Generated Node #0,0: 92:[87, 31, 100] Operation: 37+63=100 Exploring Operation: 63+31=94, Resulting Numbers: [87, 37, 94] Generated Node #0,1: 92:[87, 37, 94] Operation: 63+31=94 Exploring Operation: 87-63=24, Resulting Numbers: [37, 31, 24] Generated Node #0,2: 92:[37, 31, 24] Operation: 87-63=24 Exploring Operation: 63-37=26, Resulting Numbers: [87, 31, 26] Generated Node #0,3: 92:[87, 31, 26] Operation: 63-37=26 Start Sub Search at level 1: Moving to Node #0,1 Current State: 92:[87, 37, 94], Operations: ['63+31=94'] Exploring Operation: 94-87=7, Resulting Numbers: [37, 7] Generated Node #0,1,0: 92:[37, 7] Operation: 94-87=7 Exploring Operation: 87-37=50, Resulting Numbers: [94, 50] Generated Node #0,1,1: 92:[94, 50] Operation: 87-37=50 Exploring Operation: 87+37=124, Resulting Numbers: [94, 124] Generated Node #0,1,2: 92:[94, 124] Operation: 87+37=124 Exploring Operation: 94-37=57, Resulting Numbers: [87, 57] Generated Node #0,1,3: 92:[87, 57] Operation: 94-37=57 Moving to Node #0,1,1 Current State: 92:[94, 50], Operations: ['63+31=94', '87-37=50'] Exploring Operation: 94+50=144, Resulting Numbers: [144] 144,92 unequal: No Solution Exploring Operation: 94-50=44, Resulting Numbers: [44] 44,92 unequal: No Solution Exploring Operation: 9450=4700, Resulting Numbers: [4700] 4700,92 unequal: No Solution Moving to Node #0,1,0 Current State: 92:[37, 7], Operations: ['63+31=94', '94-87=7'] Exploring Operation: 37-7=30, Resulting Numbers: [30] 30,92 unequal: No Solution Exploring Operation: 37+7=44, Resulting Numbers: [44] 44,92 unequal: No Solution Exploring Operation: 377=259, Resulting Numbers: [259] 259,92 unequal: No Solution Moving to Node #0,1,3 Current State: 92:[87, 57], Operations: ['63+31=94', '94-37=57'] Exploring Operation: 87-57=30, Resulting Numbers: [30] 30,92 unequal: No Solution Exploring Operation: 8757=4959, Resulting Numbers: [4959] 4959,92 unequal: No Solution Exploring Operation: 87+57=144, Resulting Numbers: [144] 144,92 unequal: No Solution Moving to Node #0,1,2 Current State: 92:[94, 124], Operations: ['63+31=94', '87+37=124'] Exploring Operation: 94124=11656, Resulting Numbers: [11656] 11656,92 unequal: No Solution Exploring Operation: 94+124=218, Resulting Numbers: [218] 218,92 unequal: No Solution Exploring Operation: 124-94=30, Resulting Numbers: [30] 30,92 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 92:[87, 31, 26], Operations: ['63-37=26'] Exploring Operation: 87-31=56, Resulting Numbers: [26, 56] Generated Node #0,3,0: 92:[26, 56] Operation: 87-31=56 Exploring Operation: 87-26=61, Resulting Numbers: [31, 61] Generated Node #0,3,1: 92:[31, 61] Operation: 87-26=61 Exploring Operation: 31+26=57, Resulting Numbers: [87, 57] Generated Node #0,3,2: 92:[87, 57] Operation: 31+26=57 Exploring Operation: 31-26=5, Resulting Numbers: [87, 5] Generated Node #0,3,3: 92:[87, 5] Operation: 31-26=5 Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 92:[87, 5], Operations: ['63-37=26', '31-26=5'] Exploring Operation: 87-5=82, Resulting Numbers: [82] 82,92 unequal: No Solution Exploring Operation: 87+5=92, Resulting Numbers: [92] 92,92 equal: Goal Reached Moving to Node #0 Current State: 92:[87, 37, 63, 31], Operations: [] Exploring Operation: 63-37=26, Resulting Numbers: [87, 31, 26] Generated Node #0,3: 92:[87, 31, 26] Operation: 63-37=26 Moving to Node #0,3 Current State: 92:[87, 31, 26], Operations: ['63-37=26'] Exploring Operation: 31-26=5, Resulting Numbers: [87, 5] Generated Node #0,3,3: 92:[87, 5] Operation: 31-26=5 Moving to Node #0,3,3 Current State: 92:[87, 5], Operations: ['63-37=26', '31-26=5'] Exploring Operation: 87+5=92, Resulting Numbers: [92] 92,92 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.973958	hs_4	mult_heuristic
[ 83, 87, 81, 88 ]	86	[ "83-81=2", "87*2=174", "174-88=86" ]	Current State: 86:[83, 87, 81, 88], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [87, 88, 2] Generated Node #2: [87, 88, 2] from Operation: 83-81=2 Current State: 86:[87, 88, 2], Operations: ['83-81=2'] Exploring Operation: 872=174, Resulting Numbers: [88, 174] Generated Node #3: [88, 174] from Operation: 872=174 Current State: 86:[88, 174], Operations: ['83-81=2', '87*2=174'] Exploring Operation: 174-88=86, Resulting Numbers: [86] 86,86 equal: Goal Reached	4	Current State: 86:[83, 87, 81, 88], Operations: [] Exploring Operation: 88-83=5, Resulting Numbers: [87, 81, 5] Generated Node #0,0: 86:[87, 81, 5] Operation: 88-83=5 Exploring Operation: 83-81=2, Resulting Numbers: [87, 88, 2] Generated Node #0,1: 86:[87, 88, 2] Operation: 83-81=2 Exploring Operation: 87-83=4, Resulting Numbers: [81, 88, 4] Generated Node #0,2: 86:[81, 88, 4] Operation: 87-83=4 Moving to Node #0,1 Current State: 86:[87, 88, 2], Operations: ['83-81=2'] Exploring Operation: 88-2=86, Resulting Numbers: [87, 86] Generated Node #0,1,0: 86:[87, 86] Operation: 88-2=86 Exploring Operation: 88-87=1, Resulting Numbers: [2, 1] Generated Node #0,1,1: 86:[2, 1] Operation: 88-87=1 Exploring Operation: 88/2=44, Resulting Numbers: [87, 44] Generated Node #0,1,2: 86:[87, 44] Operation: 88/2=44 Moving to Node #0,0 Current State: 86:[87, 81, 5], Operations: ['88-83=5'] Exploring Operation: 81+5=86, Resulting Numbers: [87, 86] Generated Node #0,0,0: 86:[87, 86] Operation: 81+5=86 Exploring Operation: 87-81=6, Resulting Numbers: [5, 6] Generated Node #0,0,1: 86:[5, 6] Operation: 87-81=6 Exploring Operation: 87-5=82, Resulting Numbers: [81, 82] Generated Node #0,0,2: 86:[81, 82] Operation: 87-5=82 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 86:[87, 86], Operations: ['88-83=5', '81+5=86'] Exploring Operation: 8786=7482, Resulting Numbers: [7482] 7482,86 unequal: No Solution Exploring Operation: 87-86=1, Resulting Numbers: [1] 1,86 unequal: No Solution Exploring Operation: 87+86=173, Resulting Numbers: [173] 173,86 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 86:[5, 6], Operations: ['88-83=5', '87-81=6'] Exploring Operation: 5+6=11, Resulting Numbers: [11] 11,86 unequal: No Solution Exploring Operation: 56=30, Resulting Numbers: [30] 30,86 unequal: No Solution Exploring Operation: 6-5=1, Resulting Numbers: [1] 1,86 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 86:[81, 82], Operations: ['88-83=5', '87-5=82'] Exploring Operation: 82-81=1, Resulting Numbers: [1] 1,86 unequal: No Solution Exploring Operation: 81+82=163, Resulting Numbers: [163] 163,86 unequal: No Solution Exploring Operation: 8182=6642, Resulting Numbers: [6642] 6642,86 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 86:[81, 88, 4], Operations: ['87-83=4'] Exploring Operation: 88-81=7, Resulting Numbers: [4, 7] Generated Node #0,2,0: 86:[4, 7] Operation: 88-81=7 Exploring Operation: 81+4=85, Resulting Numbers: [88, 85] Generated Node #0,2,1: 86:[88, 85] Operation: 81+4=85 Exploring Operation: 88-4=84, Resulting Numbers: [81, 84] Generated Node #0,2,2: 86:[81, 84] Operation: 88-4=84 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 86:[88, 85], Operations: ['87-83=4', '81+4=85'] Exploring Operation: 8885=7480, Resulting Numbers: [7480] 7480,86 unequal: No Solution Exploring Operation: 88+85=173, Resulting Numbers: [173] 173,86 unequal: No Solution Exploring Operation: 88-85=3, Resulting Numbers: [3] 3,86 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 86:[4, 7], Operations: ['87-83=4', '88-81=7'] Exploring Operation: 7-4=3, Resulting Numbers: [3] 3,86 unequal: No Solution Exploring Operation: 4+7=11, Resulting Numbers: [11] 11,86 unequal: No Solution Exploring Operation: 47=28, Resulting Numbers: [28] 28,86 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 86:[81, 84], Operations: ['87-83=4', '88-4=84'] Exploring Operation: 8184=6804, Resulting Numbers: [6804] 6804,86 unequal: No Solution Exploring Operation: 81+84=165, Resulting Numbers: [165] 165,86 unequal: No Solution Exploring Operation: 84-81=3, Resulting Numbers: [3] 3,86 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,0 Current State: 86:[87, 86], Operations: ['83-81=2', '88-2=86'] Exploring Operation: 87-86=1, Resulting Numbers: [1] 1,86 unequal: No Solution Exploring Operation: 87+86=173, Resulting Numbers: [173] 173,86 unequal: No Solution Exploring Operation: 8786=7482, Resulting Numbers: [7482] 7482,86 unequal: No Solution Moving to Node #0,1,1 Current State: 86:[2, 1], Operations: ['83-81=2', '88-87=1'] Exploring Operation: 2+1=3, Resulting Numbers: [3] 3,86 unequal: No Solution Exploring Operation: 21=2, Resulting Numbers: [2] 2,86 unequal: No Solution Exploring Operation: 2/1=2, Resulting Numbers: [2] 2,86 unequal: No Solution Moving to Node #0,1,2 Current State: 86:[87, 44], Operations: ['83-81=2', '88/2=44'] Exploring Operation: 87*44=3828, Resulting Numbers: [3828] 3828,86 unequal: No Solution Exploring Operation: 87+44=131, Resulting Numbers: [131] 131,86 unequal: No Solution Exploring Operation: 87-44=43, Resulting Numbers: [43] 43,86 unequal: No Solution No solution found.	0	hs_3	mult_heuristic
[ 98, 4, 56, 91 ]	56	[ "56-4=52", "98*52=5096", "5096/91=56" ]	Current State: 56:[98, 4, 56, 91], Operations: [] Exploring Operation: 56-4=52, Resulting Numbers: [98, 91, 52] Generated Node #2: [98, 91, 52] from Operation: 56-4=52 Current State: 56:[98, 91, 52], Operations: ['56-4=52'] Exploring Operation: 9852=5096, Resulting Numbers: [91, 5096] Generated Node #3: [91, 5096] from Operation: 9852=5096 Current State: 56:[91, 5096], Operations: ['56-4=52', '98*52=5096'] Exploring Operation: 5096/91=56, Resulting Numbers: [56] 56,56 equal: Goal Reached	4	Current State: 56:[98, 4, 56, 91], Operations: [] Exploring Operation: 91-56=35, Resulting Numbers: [98, 4, 35] Generated Node #0,0: 56:[98, 4, 35] Operation: 91-56=35 Exploring Operation: 98-56=42, Resulting Numbers: [4, 91, 42] Generated Node #0,1: 56:[4, 91, 42] Operation: 98-56=42 Exploring Operation: 98-91=7, Resulting Numbers: [4, 56, 7] Generated Node #0,2: 56:[4, 56, 7] Operation: 98-91=7 Start Sub Search at level 1: Moving to Node #0,2 Current State: 56:[4, 56, 7], Operations: ['98-91=7'] Exploring Operation: 47=28, Resulting Numbers: [56, 28] Generated Node #0,2,0: 56:[56, 28] Operation: 47=28 Exploring Operation: 56/7=8, Resulting Numbers: [4, 8] Generated Node #0,2,1: 56:[4, 8] Operation: 56/7=8 Exploring Operation: 56/4=14, Resulting Numbers: [7, 14] Generated Node #0,2,2: 56:[7, 14] Operation: 56/4=14 Moving to Node #0,2,0 Current State: 56:[56, 28], Operations: ['98-91=7', '47=28'] Exploring Operation: 56/28=2, Resulting Numbers: [2] 2,56 unequal: No Solution Exploring Operation: 56+28=84, Resulting Numbers: [84] 84,56 unequal: No Solution Exploring Operation: 56-28=28, Resulting Numbers: [28] 28,56 unequal: No Solution Moving to Node #0,2,1 Current State: 56:[4, 8], Operations: ['98-91=7', '56/7=8'] Exploring Operation: 4+8=12, Resulting Numbers: [12] 12,56 unequal: No Solution Exploring Operation: 8-4=4, Resulting Numbers: [4] 4,56 unequal: No Solution Exploring Operation: 8/4=2, Resulting Numbers: [2] 2,56 unequal: No Solution Moving to Node #0,2,2 Current State: 56:[7, 14], Operations: ['98-91=7', '56/4=14'] Exploring Operation: 14/7=2, Resulting Numbers: [2] 2,56 unequal: No Solution Exploring Operation: 14-7=7, Resulting Numbers: [7] 7,56 unequal: No Solution Exploring Operation: 7+14=21, Resulting Numbers: [21] 21,56 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 56:[98, 4, 35], Operations: ['91-56=35'] Exploring Operation: 98-35=63, Resulting Numbers: [4, 63] Generated Node #0,0,0: 56:[4, 63] Operation: 98-35=63 Exploring Operation: 98-4=94, Resulting Numbers: [35, 94] Generated Node #0,0,1: 56:[35, 94] Operation: 98-4=94 Exploring Operation: 35-4=31, Resulting Numbers: [98, 31] Generated Node #0,0,2: 56:[98, 31] Operation: 35-4=31 Moving to Node #0,0,0 Current State: 56:[4, 63], Operations: ['91-56=35', '98-35=63'] Exploring Operation: 4+63=67, Resulting Numbers: [67] 67,56 unequal: No Solution Exploring Operation: 463=252, Resulting Numbers: [252] 252,56 unequal: No Solution Exploring Operation: 63-4=59, Resulting Numbers: [59] 59,56 unequal: No Solution Moving to Node #0,0,1 Current State: 56:[35, 94], Operations: ['91-56=35', '98-4=94'] Exploring Operation: 3594=3290, Resulting Numbers: [3290] 3290,56 unequal: No Solution Exploring Operation: 35+94=129, Resulting Numbers: [129] 129,56 unequal: No Solution Exploring Operation: 94-35=59, Resulting Numbers: [59] 59,56 unequal: No Solution Moving to Node #0,0,2 Current State: 56:[98, 31], Operations: ['91-56=35', '35-4=31'] Exploring Operation: 98-31=67, Resulting Numbers: [67] 67,56 unequal: No Solution Exploring Operation: 9831=3038, Resulting Numbers: [3038] 3038,56 unequal: No Solution Exploring Operation: 98+31=129, Resulting Numbers: [129] 129,56 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 56:[4, 91, 42], Operations: ['98-56=42'] Exploring Operation: 91-4=87, Resulting Numbers: [42, 87] Generated Node #0,1,0: 56:[42, 87] Operation: 91-4=87 Exploring Operation: 4+42=46, Resulting Numbers: [91, 46] Generated Node #0,1,1: 56:[91, 46] Operation: 4+42=46 Exploring Operation: 91-42=49, Resulting Numbers: [4, 49] Generated Node #0,1,2: 56:[4, 49] Operation: 91-42=49 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 56:[4, 49], Operations: ['98-56=42', '91-42=49'] Exploring Operation: 449=196, Resulting Numbers: [196] 196,56 unequal: No Solution Exploring Operation: 49-4=45, Resulting Numbers: [45] 45,56 unequal: No Solution Exploring Operation: 4+49=53, Resulting Numbers: [53] 53,56 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 56:[42, 87], Operations: ['98-56=42', '91-4=87'] Exploring Operation: 42+87=129, Resulting Numbers: [129] 129,56 unequal: No Solution Exploring Operation: 87-42=45, Resulting Numbers: [45] 45,56 unequal: No Solution Exploring Operation: 4287=3654, Resulting Numbers: [3654] 3654,56 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 56:[91, 46], Operations: ['98-56=42', '4+42=46'] Exploring Operation: 91-46=45, Resulting Numbers: [45] 45,56 unequal: No Solution Exploring Operation: 91+46=137, Resulting Numbers: [137] 137,56 unequal: No Solution Exploring Operation: 91*46=4186, Resulting Numbers: [4186] 4186,56 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_3	mult_heuristic
[ 30, 84, 44, 20 ]	18	[ "30*44=1320", "1320/20=66", "84-66=18" ]	Current State: 18:[30, 84, 44, 20], Operations: [] Exploring Operation: 3044=1320, Resulting Numbers: [84, 20, 1320] Generated Node #2: [84, 20, 1320] from Operation: 3044=1320 Current State: 18:[84, 20, 1320], Operations: ['3044=1320'] Exploring Operation: 1320/20=66, Resulting Numbers: [84, 66] Generated Node #3: [84, 66] from Operation: 1320/20=66 Current State: 18:[84, 66], Operations: ['3044=1320', '1320/20=66'] Exploring Operation: 84-66=18, Resulting Numbers: [18] 18,18 equal: Goal Reached	4	Current State: 18:[30, 84, 44, 20], Operations: [] Exploring Operation: 84-44=40, Resulting Numbers: [30, 20, 40] Generated Node #0,0: 18:[30, 20, 40] Operation: 84-44=40 Moving to Node #0,0 Current State: 18:[30, 20, 40], Operations: ['84-44=40'] Exploring Operation: 40-30=10, Resulting Numbers: [20, 10] Generated Node #0,0,0: 18:[20, 10] Operation: 40-30=10 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 18:[20, 10], Operations: ['84-44=40', '40-30=10'] Exploring Operation: 20/10=2, Resulting Numbers: [2] 2,18 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 77, 12, 11, 22 ]	91	[ "77+12=89", "22/11=2", "89+2=91" ]	Current State: 91:[77, 12, 11, 22], Operations: [] Exploring Operation: 77+12=89, Resulting Numbers: [11, 22, 89] Generated Node #2: [11, 22, 89] from Operation: 77+12=89 Current State: 91:[11, 22, 89], Operations: ['77+12=89'] Exploring Operation: 22/11=2, Resulting Numbers: [89, 2] Generated Node #3: [89, 2] from Operation: 22/11=2 Current State: 91:[89, 2], Operations: ['77+12=89', '22/11=2'] Exploring Operation: 89+2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached	4	Current State: 91:[77, 12, 11, 22], Operations: [] Exploring Operation: 77+22=99, Resulting Numbers: [12, 11, 99] Generated Node #0,0: 91:[12, 11, 99] Operation: 77+22=99 Exploring Operation: 77/11=7, Resulting Numbers: [12, 22, 7] Generated Node #0,1: 91:[12, 22, 7] Operation: 77/11=7 Start Sub Search at level 1: Moving to Node #0,1 Current State: 91:[12, 22, 7], Operations: ['77/11=7'] Exploring Operation: 22-7=15, Resulting Numbers: [12, 15] Generated Node #0,1,0: 91:[12, 15] Operation: 22-7=15 Exploring Operation: 22-12=10, Resulting Numbers: [7, 10] Generated Node #0,1,1: 91:[7, 10] Operation: 22-12=10 Moving to Node #0,1,0 Current State: 91:[12, 15], Operations: ['77/11=7', '22-7=15'] Exploring Operation: 15-12=3, Resulting Numbers: [3] 3,91 unequal: No Solution Exploring Operation: 12+15=27, Resulting Numbers: [27] 27,91 unequal: No Solution Moving to Node #0,1,1 Current State: 91:[7, 10], Operations: ['77/11=7', '22-12=10'] Exploring Operation: 7+10=17, Resulting Numbers: [17] 17,91 unequal: No Solution Exploring Operation: 10-7=3, Resulting Numbers: [3] 3,91 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 91:[12, 11, 99], Operations: ['77+22=99'] Exploring Operation: 99-11=88, Resulting Numbers: [12, 88] Generated Node #0,0,0: 91:[12, 88] Operation: 99-11=88 Exploring Operation: 99/11=9, Resulting Numbers: [12, 9] Generated Node #0,0,1: 91:[12, 9] Operation: 99/11=9 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 91:[12, 9], Operations: ['77+22=99', '99/11=9'] Exploring Operation: 12+9=21, Resulting Numbers: [21] 21,91 unequal: No Solution Exploring Operation: 12-9=3, Resulting Numbers: [3] 3,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 91:[12, 88], Operations: ['77+22=99', '99-11=88'] Exploring Operation: 12+88=100, Resulting Numbers: [100] 100,91 unequal: No Solution Exploring Operation: 88-12=76, Resulting Numbers: [76] 76,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	sum_heuristic
[ 96, 46, 17, 14 ]	20	[ "46-14=32", "96/32=3", "17+3=20" ]	Current State: 20:[96, 46, 17, 14], Operations: [] Exploring Operation: 46-14=32, Resulting Numbers: [96, 17, 32] Generated Node #2: [96, 17, 32] from Operation: 46-14=32 Current State: 20:[96, 17, 32], Operations: ['46-14=32'] Exploring Operation: 96/32=3, Resulting Numbers: [17, 3] Generated Node #3: [17, 3] from Operation: 96/32=3 Current State: 20:[17, 3], Operations: ['46-14=32', '96/32=3'] Exploring Operation: 17+3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached	4	Current State: 20:[96, 46, 17, 14], Operations: [] Exploring Operation: 96-17=79, Resulting Numbers: [46, 14, 79] Generated Node #0,0: 20:[46, 14, 79] Operation: 96-17=79 Exploring Operation: 96-46=50, Resulting Numbers: [17, 14, 50] Generated Node #0,1: 20:[17, 14, 50] Operation: 96-46=50 Exploring Operation: 46-17=29, Resulting Numbers: [96, 14, 29] Generated Node #0,2: 20:[96, 14, 29] Operation: 46-17=29 Moving to Node #0,1 Current State: 20:[17, 14, 50], Operations: ['96-46=50'] Exploring Operation: 17-14=3, Resulting Numbers: [50, 3] Generated Node #0,1,0: 20:[50, 3] Operation: 17-14=3 Exploring Operation: 50-14=36, Resulting Numbers: [17, 36] Generated Node #0,1,1: 20:[17, 36] Operation: 50-14=36 Exploring Operation: 50-17=33, Resulting Numbers: [14, 33] Generated Node #0,1,2: 20:[14, 33] Operation: 50-17=33 Moving to Node #0,0 Current State: 20:[46, 14, 79], Operations: ['96-17=79'] Exploring Operation: 79-14=65, Resulting Numbers: [46, 65] Generated Node #0,0,0: 20:[46, 65] Operation: 79-14=65 Exploring Operation: 79-46=33, Resulting Numbers: [14, 33] Generated Node #0,0,1: 20:[14, 33] Operation: 79-46=33 Exploring Operation: 46-14=32, Resulting Numbers: [79, 32] Generated Node #0,0,2: 20:[79, 32] Operation: 46-14=32 Moving to Node #0,2 Current State: 20:[96, 14, 29], Operations: ['46-17=29'] Exploring Operation: 29-14=15, Resulting Numbers: [96, 15] Generated Node #0,2,0: 20:[96, 15] Operation: 29-14=15 Exploring Operation: 96-14=82, Resulting Numbers: [29, 82] Generated Node #0,2,1: 20:[29, 82] Operation: 96-14=82 Exploring Operation: 96-29=67, Resulting Numbers: [14, 67] Generated Node #0,2,2: 20:[14, 67] Operation: 96-29=67 Moving to Node #0,1,2 Current State: 20:[14, 33], Operations: ['96-46=50', '50-17=33'] Exploring Operation: 33-14=19, Resulting Numbers: [19] 19,20 unequal: No Solution Exploring Operation: 14+33=47, Resulting Numbers: [47] 47,20 unequal: No Solution Exploring Operation: 1433=462, Resulting Numbers: [462] 462,20 unequal: No Solution Moving to Node #0,0,1 Current State: 20:[14, 33], Operations: ['96-17=79', '79-46=33'] Exploring Operation: 14+33=47, Resulting Numbers: [47] 47,20 unequal: No Solution Exploring Operation: 1433=462, Resulting Numbers: [462] 462,20 unequal: No Solution Exploring Operation: 33-14=19, Resulting Numbers: [19] 19,20 unequal: No Solution Moving to Node #0,1,1 Current State: 20:[17, 36], Operations: ['96-46=50', '50-14=36'] Exploring Operation: 1736=612, Resulting Numbers: [612] 612,20 unequal: No Solution Exploring Operation: 36-17=19, Resulting Numbers: [19] 19,20 unequal: No Solution Exploring Operation: 17+36=53, Resulting Numbers: [53] 53,20 unequal: No Solution Moving to Node #0,1,0 Current State: 20:[50, 3], Operations: ['96-46=50', '17-14=3'] Exploring Operation: 50+3=53, Resulting Numbers: [53] 53,20 unequal: No Solution Exploring Operation: 50-3=47, Resulting Numbers: [47] 47,20 unequal: No Solution Exploring Operation: 503=150, Resulting Numbers: [150] 150,20 unequal: No Solution Moving to Node #0,2,2 Current State: 20:[14, 67], Operations: ['46-17=29', '96-29=67'] Exploring Operation: 67-14=53, Resulting Numbers: [53] 53,20 unequal: No Solution Exploring Operation: 14+67=81, Resulting Numbers: [81] 81,20 unequal: No Solution Exploring Operation: 1467=938, Resulting Numbers: [938] 938,20 unequal: No Solution Moving to Node #0,0,2 Current State: 20:[79, 32], Operations: ['96-17=79', '46-14=32'] Exploring Operation: 79+32=111, Resulting Numbers: [111] 111,20 unequal: No Solution Exploring Operation: 79-32=47, Resulting Numbers: [47] 47,20 unequal: No Solution Exploring Operation: 7932=2528, Resulting Numbers: [2528] 2528,20 unequal: No Solution Moving to Node #0,0,0 Current State: 20:[46, 65], Operations: ['96-17=79', '79-14=65'] Exploring Operation: 65-46=19, Resulting Numbers: [19] 19,20 unequal: No Solution Exploring Operation: 46+65=111, Resulting Numbers: [111] 111,20 unequal: No Solution Exploring Operation: 4665=2990, Resulting Numbers: [2990] 2990,20 unequal: No Solution Moving to Node #0,2,1 Current State: 20:[29, 82], Operations: ['46-17=29', '96-14=82'] Exploring Operation: 2982=2378, Resulting Numbers: [2378] 2378,20 unequal: No Solution Exploring Operation: 29+82=111, Resulting Numbers: [111] 111,20 unequal: No Solution Exploring Operation: 82-29=53, Resulting Numbers: [53] 53,20 unequal: No Solution Moving to Node #0,2,0 Current State: 20:[96, 15], Operations: ['46-17=29', '29-14=15'] Exploring Operation: 96*15=1440, Resulting Numbers: [1440] 1440,20 unequal: No Solution Exploring Operation: 96+15=111, Resulting Numbers: [111] 111,20 unequal: No Solution Exploring Operation: 96-15=81, Resulting Numbers: [81] 81,20 unequal: No Solution No solution found.	0	hs_3	sum_heuristic
[ 72, 9, 16, 15 ]	13	[ "72/9=8", "16/8=2", "15-2=13" ]	Current State: 13:[72, 9, 16, 15], Operations: [] Exploring Operation: 72/9=8, Resulting Numbers: [16, 15, 8] Generated Node #2: [16, 15, 8] from Operation: 72/9=8 Current State: 13:[16, 15, 8], Operations: ['72/9=8'] Exploring Operation: 16/8=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 16/8=2 Current State: 13:[15, 2], Operations: ['72/9=8', '16/8=2'] Exploring Operation: 15-2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached	4	Current State: 13:[72, 9, 16, 15], Operations: [] Exploring Operation: 72/9=8, Resulting Numbers: [16, 15, 8] Generated Node #0,0: 13:[16, 15, 8] Operation: 72/9=8 Moving to Node #0,0 Current State: 13:[16, 15, 8], Operations: ['72/9=8'] Exploring Operation: 16-8=8, Resulting Numbers: [15, 8] Generated Node #0,0,0: 13:[15, 8] Operation: 16-8=8 Moving to Node #0,0,0 Current State: 13:[15, 8], Operations: ['72/9=8', '16-8=8'] Exploring Operation: 15-8=7, Resulting Numbers: [7] 7,13 unequal: No Solution No solution found.	0	hs_1	sum_heuristic
[ 14, 31, 91, 6 ]	68	[ "31-14=17", "91-6=85", "85-17=68" ]	Current State: 68:[14, 31, 91, 6], Operations: [] Exploring Operation: 31-14=17, Resulting Numbers: [91, 6, 17] Generated Node #2: [91, 6, 17] from Operation: 31-14=17 Current State: 68:[91, 6, 17], Operations: ['31-14=17'] Exploring Operation: 91-6=85, Resulting Numbers: [17, 85] Generated Node #3: [17, 85] from Operation: 91-6=85 Current State: 68:[17, 85], Operations: ['31-14=17', '91-6=85'] Exploring Operation: 85-17=68, Resulting Numbers: [68] 68,68 equal: Goal Reached	4	Current State: 68:[14, 31, 91, 6], Operations: [] Exploring Operation: 91-31=60, Resulting Numbers: [14, 6, 60] Generated Node #0,0: 68:[14, 6, 60] Operation: 91-31=60 Moving to Node #0,0 Current State: 68:[14, 6, 60], Operations: ['91-31=60'] Exploring Operation: 6+60=66, Resulting Numbers: [14, 66] Generated Node #0,0,0: 68:[14, 66] Operation: 6+60=66 Moving to Node #0,0,0 Current State: 68:[14, 66], Operations: ['91-31=60', '6+60=66'] Exploring Operation: 14+66=80, Resulting Numbers: [80] 80,68 unequal: No Solution No solution found.	0	hs_1	mult_heuristic
[ 10, 33, 71, 50 ]	22	[ "10+33=43", "71-50=21", "43-21=22" ]	Current State: 22:[10, 33, 71, 50], Operations: [] Exploring Operation: 10+33=43, Resulting Numbers: [71, 50, 43] Generated Node #2: [71, 50, 43] from Operation: 10+33=43 Current State: 22:[71, 50, 43], Operations: ['10+33=43'] Exploring Operation: 71-50=21, Resulting Numbers: [43, 21] Generated Node #3: [43, 21] from Operation: 71-50=21 Current State: 22:[43, 21], Operations: ['10+33=43', '71-50=21'] Exploring Operation: 43-21=22, Resulting Numbers: [22] 22,22 equal: Goal Reached	4	Current State: 22:[10, 33, 71, 50], Operations: [] Exploring Operation: 71-33=38, Resulting Numbers: [10, 50, 38] Generated Node #0,0: 22:[10, 50, 38] Operation: 71-33=38 Exploring Operation: 71-50=21, Resulting Numbers: [10, 33, 21] Generated Node #0,1: 22:[10, 33, 21] Operation: 71-50=21 Moving to Node #0,1 Current State: 22:[10, 33, 21], Operations: ['71-50=21'] Exploring Operation: 33-21=12, Resulting Numbers: [10, 12] Generated Node #0,1,0: 22:[10, 12] Operation: 33-21=12 Exploring Operation: 33-10=23, Resulting Numbers: [21, 23] Generated Node #0,1,1: 22:[21, 23] Operation: 33-10=23 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 22:[10, 12], Operations: ['71-50=21', '33-21=12'] Exploring Operation: 12-10=2, Resulting Numbers: [2] 2,22 unequal: No Solution Exploring Operation: 10+12=22, Resulting Numbers: [22] 22,22 equal: Goal Reached Moving to Node #0 Current State: 22:[10, 33, 71, 50], Operations: [] Exploring Operation: 71-50=21, Resulting Numbers: [10, 33, 21] Generated Node #0,1: 22:[10, 33, 21] Operation: 71-50=21 Moving to Node #0,1 Current State: 22:[10, 33, 21], Operations: ['71-50=21'] Exploring Operation: 33-21=12, Resulting Numbers: [10, 12] Generated Node #0,1,0: 22:[10, 12] Operation: 33-21=12 Moving to Node #0,1,0 Current State: 22:[10, 12], Operations: ['71-50=21', '33-21=12'] Exploring Operation: 10+12=22, Resulting Numbers: [22] 22,22 equal: Goal Reached Exit Sub Search at level 1	0.991319	hs_2	sum_heuristic
[ 65, 72, 20, 80 ]	78	[ "65*72=4680", "80-20=60", "4680/60=78" ]	Current State: 78:[65, 72, 20, 80], Operations: [] Exploring Operation: 6572=4680, Resulting Numbers: [20, 80, 4680] Generated Node #2: [20, 80, 4680] from Operation: 6572=4680 Current State: 78:[20, 80, 4680], Operations: ['6572=4680'] Exploring Operation: 80-20=60, Resulting Numbers: [4680, 60] Generated Node #3: [4680, 60] from Operation: 80-20=60 Current State: 78:[4680, 60], Operations: ['6572=4680', '80-20=60'] Exploring Operation: 4680/60=78, Resulting Numbers: [78] 78,78 equal: Goal Reached	4	Current State: 78:[65, 72, 20, 80], Operations: [] Exploring Operation: 72-65=7, Resulting Numbers: [20, 80, 7] Generated Node #0,0: 78:[20, 80, 7] Operation: 72-65=7 Exploring Operation: 65-20=45, Resulting Numbers: [72, 80, 45] Generated Node #0,1: 78:[72, 80, 45] Operation: 65-20=45 Moving to Node #0,0 Current State: 78:[20, 80, 7], Operations: ['72-65=7'] Exploring Operation: 20-7=13, Resulting Numbers: [80, 13] Generated Node #0,0,0: 78:[80, 13] Operation: 20-7=13 Exploring Operation: 80/20=4, Resulting Numbers: [7, 4] Generated Node #0,0,1: 78:[7, 4] Operation: 80/20=4 Moving to Node #0,1 Current State: 78:[72, 80, 45], Operations: ['65-20=45'] Exploring Operation: 80-72=8, Resulting Numbers: [45, 8] Generated Node #0,1,0: 78:[45, 8] Operation: 80-72=8 Exploring Operation: 72-45=27, Resulting Numbers: [80, 27] Generated Node #0,1,1: 78:[80, 27] Operation: 72-45=27 Moving to Node #0,0,0 Current State: 78:[80, 13], Operations: ['72-65=7', '20-7=13'] Exploring Operation: 80-13=67, Resulting Numbers: [67] 67,78 unequal: No Solution Exploring Operation: 80+13=93, Resulting Numbers: [93] 93,78 unequal: No Solution Moving to Node #0,0,1 Current State: 78:[7, 4], Operations: ['72-65=7', '80/20=4'] Exploring Operation: 7+4=11, Resulting Numbers: [11] 11,78 unequal: No Solution Exploring Operation: 7-4=3, Resulting Numbers: [3] 3,78 unequal: No Solution Moving to Node #0,1,1 Current State: 78:[80, 27], Operations: ['65-20=45', '72-45=27'] Exploring Operation: 80-27=53, Resulting Numbers: [53] 53,78 unequal: No Solution Exploring Operation: 80+27=107, Resulting Numbers: [107] 107,78 unequal: No Solution Moving to Node #0,1,0 Current State: 78:[45, 8], Operations: ['65-20=45', '80-72=8'] Exploring Operation: 45+8=53, Resulting Numbers: [53] 53,78 unequal: No Solution Exploring Operation: 45-8=37, Resulting Numbers: [37] 37,78 unequal: No Solution No solution found.	0	hs_2	mult_heuristic
[ 19, 54, 87, 81 ]	95	[ "19+54=73", "87+81=168", "168-73=95" ]	Current State: 95:[19, 54, 87, 81], Operations: [] Exploring Operation: 19+54=73, Resulting Numbers: [87, 81, 73] Generated Node #2: [87, 81, 73] from Operation: 19+54=73 Current State: 95:[87, 81, 73], Operations: ['19+54=73'] Exploring Operation: 87+81=168, Resulting Numbers: [73, 168] Generated Node #3: [73, 168] from Operation: 87+81=168 Current State: 95:[73, 168], Operations: ['19+54=73', '87+81=168'] Exploring Operation: 168-73=95, Resulting Numbers: [95] 95,95 equal: Goal Reached	4	Current State: 95:[19, 54, 87, 81], Operations: [] Exploring Operation: 87-54=33, Resulting Numbers: [19, 81, 33] Generated Node #0,0: 95:[19, 81, 33] Operation: 87-54=33 Exploring Operation: 81-54=27, Resulting Numbers: [19, 87, 27] Generated Node #0,1: 95:[19, 87, 27] Operation: 81-54=27 Exploring Operation: 87-81=6, Resulting Numbers: [19, 54, 6] Generated Node #0,2: 95:[19, 54, 6] Operation: 87-81=6 Exploring Operation: 54-19=35, Resulting Numbers: [87, 81, 35] Generated Node #0,3: 95:[87, 81, 35] Operation: 54-19=35 Start Sub Search at level 1: Moving to Node #0,1 Current State: 95:[19, 87, 27], Operations: ['81-54=27'] Exploring Operation: 87-19=68, Resulting Numbers: [27, 68] Generated Node #0,1,0: 95:[27, 68] Operation: 87-19=68 Exploring Operation: 87+27=114, Resulting Numbers: [19, 114] Generated Node #0,1,1: 95:[19, 114] Operation: 87+27=114 Exploring Operation: 19+87=106, Resulting Numbers: [27, 106] Generated Node #0,1,2: 95:[27, 106] Operation: 19+87=106 Exploring Operation: 27-19=8, Resulting Numbers: [87, 8] Generated Node #0,1,3: 95:[87, 8] Operation: 27-19=8 Moving to Node #0,1,3 Current State: 95:[87, 8], Operations: ['81-54=27', '27-19=8'] Exploring Operation: 87-8=79, Resulting Numbers: [79] 79,95 unequal: No Solution Exploring Operation: 87+8=95, Resulting Numbers: [95] 95,95 equal: Goal Reached Moving to Node #0 Current State: 95:[19, 54, 87, 81], Operations: [] Exploring Operation: 81-54=27, Resulting Numbers: [19, 87, 27] Generated Node #0,1: 95:[19, 87, 27] Operation: 81-54=27 Moving to Node #0,1 Current State: 95:[19, 87, 27], Operations: ['81-54=27'] Exploring Operation: 27-19=8, Resulting Numbers: [87, 8] Generated Node #0,1,3: 95:[87, 8] Operation: 27-19=8 Moving to Node #0,1,3 Current State: 95:[87, 8], Operations: ['81-54=27', '27-19=8'] Exploring Operation: 87+8=95, Resulting Numbers: [95] 95,95 equal: Goal Reached Exit Sub Search at level 1	0.987847	hs_4	mult_heuristic
[ 5, 2, 92, 89 ]	13	[ "5*2=10", "92-89=3", "10+3=13" ]	Current State: 13:[5, 2, 92, 89], Operations: [] Exploring Operation: 52=10, Resulting Numbers: [92, 89, 10] Generated Node #2: [92, 89, 10] from Operation: 52=10 Current State: 13:[92, 89, 10], Operations: ['52=10'] Exploring Operation: 92-89=3, Resulting Numbers: [10, 3] Generated Node #3: [10, 3] from Operation: 92-89=3 Current State: 13:[10, 3], Operations: ['52=10', '92-89=3'] Exploring Operation: 10+3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached	4	Current State: 13:[5, 2, 92, 89], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [5, 2, 3] Generated Node #0,0: 13:[5, 2, 3] Operation: 92-89=3 Start Sub Search at level 1: Moving to Node #0,0 Current State: 13:[5, 2, 3], Operations: ['92-89=3'] Exploring Operation: 52=10, Resulting Numbers: [3, 10] Generated Node #0,0,0: 13:[3, 10] Operation: 52=10 Moving to Node #0,0,0 Current State: 13:[3, 10], Operations: ['92-89=3', '52=10'] Exploring Operation: 3+10=13, Resulting Numbers: [13] 13,13 equal: Goal Reached Moving to Node #0 Current State: 13:[5, 2, 92, 89], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [5, 2, 3] Generated Node #0,0: 13:[5, 2, 3] Operation: 92-89=3 Moving to Node #0,0 Current State: 13:[5, 2, 3], Operations: ['92-89=3'] Exploring Operation: 52=10, Resulting Numbers: [3, 10] Generated Node #0,0,0: 13:[3, 10] Operation: 52=10 Moving to Node #0,0,0 Current State: 13:[3, 10], Operations: ['92-89=3', '52=10'] Exploring Operation: 3+10=13, Resulting Numbers: [13] 13,13 equal: Goal Reached Exit Sub Search at level 1	0.993924	hs_1	mult_heuristic
[ 32, 9, 3, 3 ]	97	[ "32*9=288", "3+288=291", "291/3=97" ]	Current State: 97:[32, 9, 3, 3], Operations: [] Exploring Operation: 329=288, Resulting Numbers: [3, 3, 288] Generated Node #2: [3, 3, 288] from Operation: 329=288 Current State: 97:[3, 3, 288], Operations: ['32*9=288'] Exploring Operation: 3+288=291, Resulting Numbers: [291] 291,97 equal: Goal Reached Exploring Operation: 291/3=97, Resulting Numbers: [97] 97,97 equal: Goal Reached	4	Current State: 97:[32, 9, 3, 3], Operations: [] Exploring Operation: 323=96, Resulting Numbers: [9, 3, 96] Generated Node #0,0: 97:[9, 3, 96] Operation: 323=96 Exploring Operation: 323=96, Resulting Numbers: [9, 3, 96] Generated Node #0,1: 97:[9, 3, 96] Operation: 323=96 Moving to Node #0,0 Current State: 97:[9, 3, 96], Operations: ['323=96'] Exploring Operation: 93=27, Resulting Numbers: [96, 27] Generated Node #0,0,0: 97:[96, 27] Operation: 93=27 Exploring Operation: 9+3=12, Resulting Numbers: [96, 12] Generated Node #0,0,1: 97:[96, 12] Operation: 9+3=12 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 97:[96, 27], Operations: ['323=96', '93=27'] Exploring Operation: 96-27=69, Resulting Numbers: [69] 69,97 unequal: No Solution Exploring Operation: 96+27=123, Resulting Numbers: [123] 123,97 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 97:[96, 12], Operations: ['323=96', '9+3=12'] Exploring Operation: 96-12=84, Resulting Numbers: [84] 84,97 unequal: No Solution Exploring Operation: 96+12=108, Resulting Numbers: [108] 108,97 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 97:[9, 3, 96], Operations: ['323=96'] Exploring Operation: 9+3=12, Resulting Numbers: [96, 12] Generated Node #0,1,0: 97:[96, 12] Operation: 9+3=12 Exploring Operation: 93=27, Resulting Numbers: [96, 27] Generated Node #0,1,1: 97:[96, 27] Operation: 93=27 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 97:[96, 27], Operations: ['323=96', '93=27'] Exploring Operation: 96-27=69, Resulting Numbers: [69] 69,97 unequal: No Solution Exploring Operation: 96+27=123, Resulting Numbers: [123] 123,97 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 97:[96, 12], Operations: ['323=96', '9+3=12'] Exploring Operation: 96-12=84, Resulting Numbers: [84] 84,97 unequal: No Solution Exploring Operation: 96+12=108, Resulting Numbers: [108] 108,97 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	mult_heuristic
[ 60, 36, 21, 1 ]	44	[ "60-36=24", "21-1=20", "24+20=44" ]	Current State: 44:[60, 36, 21, 1], Operations: [] Exploring Operation: 60-36=24, Resulting Numbers: [21, 1, 24] Generated Node #2: [21, 1, 24] from Operation: 60-36=24 Current State: 44:[21, 1, 24], Operations: ['60-36=24'] Exploring Operation: 21-1=20, Resulting Numbers: [24, 20] Generated Node #3: [24, 20] from Operation: 21-1=20 Current State: 44:[24, 20], Operations: ['60-36=24', '21-1=20'] Exploring Operation: 24+20=44, Resulting Numbers: [44] 44,44 equal: Goal Reached	4	Current State: 44:[60, 36, 21, 1], Operations: [] Exploring Operation: 60-36=24, Resulting Numbers: [21, 1, 24] Generated Node #0,0: 44:[21, 1, 24] Operation: 60-36=24 Moving to Node #0,0 Current State: 44:[21, 1, 24], Operations: ['60-36=24'] Exploring Operation: 21+1=22, Resulting Numbers: [24, 22] Generated Node #0,0,0: 44:[24, 22] Operation: 21+1=22 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 44:[24, 22], Operations: ['60-36=24', '21+1=22'] Exploring Operation: 24-22=2, Resulting Numbers: [2] 2,44 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 44, 70, 48, 5 ]	56	[ "48-44=4", "70/5=14", "4*14=56" ]	Current State: 56:[44, 70, 48, 5], Operations: [] Exploring Operation: 48-44=4, Resulting Numbers: [70, 5, 4] Generated Node #2: [70, 5, 4] from Operation: 48-44=4 Current State: 56:[70, 5, 4], Operations: ['48-44=4'] Exploring Operation: 70/5=14, Resulting Numbers: [4, 14] Generated Node #3: [4, 14] from Operation: 70/5=14 Current State: 56:[4, 14], Operations: ['48-44=4', '70/5=14'] Exploring Operation: 4*14=56, Resulting Numbers: [56] 56,56 equal: Goal Reached	4	Current State: 56:[44, 70, 48, 5], Operations: [] Exploring Operation: 48-44=4, Resulting Numbers: [70, 5, 4] Generated Node #0,0: 56:[70, 5, 4] Operation: 48-44=4 Exploring Operation: 70-44=26, Resulting Numbers: [48, 5, 26] Generated Node #0,1: 56:[48, 5, 26] Operation: 70-44=26 Exploring Operation: 70-48=22, Resulting Numbers: [44, 5, 22] Generated Node #0,2: 56:[44, 5, 22] Operation: 70-48=22 Start Sub Search at level 1: Moving to Node #0,1 Current State: 56:[48, 5, 26], Operations: ['70-44=26'] Exploring Operation: 48-26=22, Resulting Numbers: [5, 22] Generated Node #0,1,0: 56:[5, 22] Operation: 48-26=22 Exploring Operation: 48+5=53, Resulting Numbers: [26, 53] Generated Node #0,1,1: 56:[26, 53] Operation: 48+5=53 Exploring Operation: 5+26=31, Resulting Numbers: [48, 31] Generated Node #0,1,2: 56:[48, 31] Operation: 5+26=31 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 56:[26, 53], Operations: ['70-44=26', '48+5=53'] Exploring Operation: 2653=1378, Resulting Numbers: [1378] 1378,56 unequal: No Solution Exploring Operation: 26+53=79, Resulting Numbers: [79] 79,56 unequal: No Solution Exploring Operation: 53-26=27, Resulting Numbers: [27] 27,56 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 56:[5, 22], Operations: ['70-44=26', '48-26=22'] Exploring Operation: 522=110, Resulting Numbers: [110] 110,56 unequal: No Solution Exploring Operation: 22-5=17, Resulting Numbers: [17] 17,56 unequal: No Solution Exploring Operation: 5+22=27, Resulting Numbers: [27] 27,56 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 56:[48, 31], Operations: ['70-44=26', '5+26=31'] Exploring Operation: 48+31=79, Resulting Numbers: [79] 79,56 unequal: No Solution Exploring Operation: 4831=1488, Resulting Numbers: [1488] 1488,56 unequal: No Solution Exploring Operation: 48-31=17, Resulting Numbers: [17] 17,56 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 56:[70, 5, 4], Operations: ['48-44=4'] Exploring Operation: 70/5=14, Resulting Numbers: [4, 14] Generated Node #0,0,0: 56:[4, 14] Operation: 70/5=14 Exploring Operation: 70-4=66, Resulting Numbers: [5, 66] Generated Node #0,0,1: 56:[5, 66] Operation: 70-4=66 Exploring Operation: 70-5=65, Resulting Numbers: [4, 65] Generated Node #0,0,2: 56:[4, 65] Operation: 70-5=65 Moving to Node #0,0,0 Current State: 56:[4, 14], Operations: ['48-44=4', '70/5=14'] Exploring Operation: 414=56, Resulting Numbers: [56] 56,56 equal: Goal Reached Moving to Node #0 Current State: 56:[44, 70, 48, 5], Operations: [] Exploring Operation: 48-44=4, Resulting Numbers: [70, 5, 4] Generated Node #0,0: 56:[70, 5, 4] Operation: 48-44=4 Moving to Node #0,0 Current State: 56:[70, 5, 4], Operations: ['48-44=4'] Exploring Operation: 70/5=14, Resulting Numbers: [4, 14] Generated Node #0,0,0: 56:[4, 14] Operation: 70/5=14 Moving to Node #0,0,0 Current State: 56:[4, 14], Operations: ['48-44=4', '70/5=14'] Exploring Operation: 4*14=56, Resulting Numbers: [56] 56,56 equal: Goal Reached Exit Sub Search at level 1	0.980035	hs_3	sum_heuristic
[ 15, 2, 83, 44 ]	78	[ "83-15=68", "68/2=34", "44+34=78" ]	Current State: 78:[15, 2, 83, 44], Operations: [] Exploring Operation: 83-15=68, Resulting Numbers: [2, 44, 68] Generated Node #2: [2, 44, 68] from Operation: 83-15=68 Current State: 78:[2, 44, 68], Operations: ['83-15=68'] Exploring Operation: 68/2=34, Resulting Numbers: [44, 34] Generated Node #3: [44, 34] from Operation: 68/2=34 Current State: 78:[44, 34], Operations: ['83-15=68', '68/2=34'] Exploring Operation: 44+34=78, Resulting Numbers: [78] 78,78 equal: Goal Reached	4	Current State: 78:[15, 2, 83, 44], Operations: [] Exploring Operation: 83-44=39, Resulting Numbers: [15, 2, 39] Generated Node #0,0: 78:[15, 2, 39] Operation: 83-44=39 Start Sub Search at level 1: Moving to Node #0,0 Current State: 78:[15, 2, 39], Operations: ['83-44=39'] Exploring Operation: 15-2=13, Resulting Numbers: [39, 13] Generated Node #0,0,0: 78:[39, 13] Operation: 15-2=13 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 78:[39, 13], Operations: ['83-44=39', '15-2=13'] Exploring Operation: 39-13=26, Resulting Numbers: [26] 26,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 5, 21, 25, 54 ]	15	[ "25/5=5", "21+54=75", "75/5=15" ]	Current State: 15:[5, 21, 25, 54], Operations: [] Exploring Operation: 25/5=5, Resulting Numbers: [21, 54, 5] Generated Node #2: [21, 54, 5] from Operation: 25/5=5 Current State: 15:[21, 54, 5], Operations: ['25/5=5'] Exploring Operation: 21+54=75, Resulting Numbers: [5, 75] Generated Node #3: [5, 75] from Operation: 21+54=75 Current State: 15:[5, 75], Operations: ['25/5=5', '21+54=75'] Exploring Operation: 75/5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached	4	Current State: 15:[5, 21, 25, 54], Operations: [] Exploring Operation: 54-25=29, Resulting Numbers: [5, 21, 29] Generated Node #0,0: 15:[5, 21, 29] Operation: 54-25=29 Moving to Node #0,0 Current State: 15:[5, 21, 29], Operations: ['54-25=29'] Exploring Operation: 29-21=8, Resulting Numbers: [5, 8] Generated Node #0,0,0: 15:[5, 8] Operation: 29-21=8 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 15:[5, 8], Operations: ['54-25=29', '29-21=8'] Exploring Operation: 8-5=3, Resulting Numbers: [3] 3,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 92, 4, 66, 45 ]	23	[ "92-4=88", "66+45=111", "111-88=23" ]	Current State: 23:[92, 4, 66, 45], Operations: [] Exploring Operation: 92-4=88, Resulting Numbers: [66, 45, 88] Generated Node #2: [66, 45, 88] from Operation: 92-4=88 Current State: 23:[66, 45, 88], Operations: ['92-4=88'] Exploring Operation: 66+45=111, Resulting Numbers: [88, 111] Generated Node #3: [88, 111] from Operation: 66+45=111 Current State: 23:[88, 111], Operations: ['92-4=88', '66+45=111'] Exploring Operation: 111-88=23, Resulting Numbers: [23] 23,23 equal: Goal Reached	4	Current State: 23:[92, 4, 66, 45], Operations: [] Exploring Operation: 92-45=47, Resulting Numbers: [4, 66, 47] Generated Node #0,0: 23:[4, 66, 47] Operation: 92-45=47 Exploring Operation: 92/4=23, Resulting Numbers: [66, 45, 23] Generated Node #0,1: 23:[66, 45, 23] Operation: 92/4=23 Exploring Operation: 92-66=26, Resulting Numbers: [4, 45, 26] Generated Node #0,2: 23:[4, 45, 26] Operation: 92-66=26 Moving to Node #0,2 Current State: 23:[4, 45, 26], Operations: ['92-66=26'] Exploring Operation: 45-4=41, Resulting Numbers: [26, 41] Generated Node #0,2,0: 23:[26, 41] Operation: 45-4=41 Exploring Operation: 26-4=22, Resulting Numbers: [45, 22] Generated Node #0,2,1: 23:[45, 22] Operation: 26-4=22 Exploring Operation: 45-26=19, Resulting Numbers: [4, 19] Generated Node #0,2,2: 23:[4, 19] Operation: 45-26=19 Moving to Node #0,1 Current State: 23:[66, 45, 23], Operations: ['92/4=23'] Exploring Operation: 45-23=22, Resulting Numbers: [66, 22] Generated Node #0,1,0: 23:[66, 22] Operation: 45-23=22 Exploring Operation: 66-23=43, Resulting Numbers: [45, 43] Generated Node #0,1,1: 23:[45, 43] Operation: 66-23=43 Exploring Operation: 66-45=21, Resulting Numbers: [23, 21] Generated Node #0,1,2: 23:[23, 21] Operation: 66-45=21 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 23:[23, 21], Operations: ['92/4=23', '66-45=21'] Exploring Operation: 2321=483, Resulting Numbers: [483] 483,23 unequal: No Solution Exploring Operation: 23+21=44, Resulting Numbers: [44] 44,23 unequal: No Solution Exploring Operation: 23-21=2, Resulting Numbers: [2] 2,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 23:[45, 43], Operations: ['92/4=23', '66-23=43'] Exploring Operation: 45+43=88, Resulting Numbers: [88] 88,23 unequal: No Solution Exploring Operation: 45-43=2, Resulting Numbers: [2] 2,23 unequal: No Solution Exploring Operation: 4543=1935, Resulting Numbers: [1935] 1935,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 23:[66, 22], Operations: ['92/4=23', '45-23=22'] Exploring Operation: 66-22=44, Resulting Numbers: [44] 44,23 unequal: No Solution Exploring Operation: 66+22=88, Resulting Numbers: [88] 88,23 unequal: No Solution Exploring Operation: 66/22=3, Resulting Numbers: [3] 3,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 23:[4, 66, 47], Operations: ['92-45=47'] Exploring Operation: 66-47=19, Resulting Numbers: [4, 19] Generated Node #0,0,0: 23:[4, 19] Operation: 66-47=19 Exploring Operation: 66-4=62, Resulting Numbers: [47, 62] Generated Node #0,0,1: 23:[47, 62] Operation: 66-4=62 Exploring Operation: 47-4=43, Resulting Numbers: [66, 43] Generated Node #0,0,2: 23:[66, 43] Operation: 47-4=43 Moving to Node #0,2,0 Current State: 23:[26, 41], Operations: ['92-66=26', '45-4=41'] Exploring Operation: 41-26=15, Resulting Numbers: [15] 15,23 unequal: No Solution Exploring Operation: 26*41=1066, Resulting Numbers: [1066] 1066,23 unequal: No Solution Exploring Operation: 26+41=67, Resulting Numbers: [67] 67,23 unequal: No Solution Moving to Node #0,2,2 Current State: 23:[4, 19], Operations: ['92-66=26', '45-26=19'] Exploring Operation: 19-4=15, Resulting Numbers: [15] 15,23 unequal: No Solution Exploring Operation: 4+19=23, Resulting Numbers: [23] 23,23 equal: Goal Reached Moving to Node #0 Current State: 23:[92, 4, 66, 45], Operations: [] Exploring Operation: 92-66=26, Resulting Numbers: [4, 45, 26] Generated Node #0,2: 23:[4, 45, 26] Operation: 92-66=26 Moving to Node #0,2 Current State: 23:[4, 45, 26], Operations: ['92-66=26'] Exploring Operation: 45-26=19, Resulting Numbers: [4, 19] Generated Node #0,2,2: 23:[4, 19] Operation: 45-26=19 Moving to Node #0,2,2 Current State: 23:[4, 19], Operations: ['92-66=26', '45-26=19'] Exploring Operation: 4+19=23, Resulting Numbers: [23] 23,23 equal: Goal Reached	0.973958	hs_3	mult_heuristic
[ 39, 86, 16, 20 ]	70	[ "20-16=4", "39*4=156", "156-86=70" ]	Current State: 70:[39, 86, 16, 20], Operations: [] Exploring Operation: 20-16=4, Resulting Numbers: [39, 86, 4] Generated Node #2: [39, 86, 4] from Operation: 20-16=4 Current State: 70:[39, 86, 4], Operations: ['20-16=4'] Exploring Operation: 394=156, Resulting Numbers: [86, 156] Generated Node #3: [86, 156] from Operation: 394=156 Current State: 70:[86, 156], Operations: ['20-16=4', '39*4=156'] Exploring Operation: 156-86=70, Resulting Numbers: [70] 70,70 equal: Goal Reached	4	Current State: 70:[39, 86, 16, 20], Operations: [] Exploring Operation: 86-16=70, Resulting Numbers: [39, 20, 70] Generated Node #0,0: 70:[39, 20, 70] Operation: 86-16=70 Start Sub Search at level 1: Moving to Node #0,0 Current State: 70:[39, 20, 70], Operations: ['86-16=70'] Exploring Operation: 39-20=19, Resulting Numbers: [70, 19] Generated Node #0,0,0: 70:[70, 19] Operation: 39-20=19 Moving to Node #0,0,0 Current State: 70:[70, 19], Operations: ['86-16=70', '39-20=19'] Exploring Operation: 70-19=51, Resulting Numbers: [51] 51,70 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 50, 28, 4, 25 ]	82	[ "50+25=75", "28/4=7", "75+7=82" ]	Current State: 82:[50, 28, 4, 25], Operations: [] Exploring Operation: 50+25=75, Resulting Numbers: [28, 4, 75] Generated Node #2: [28, 4, 75] from Operation: 50+25=75 Current State: 82:[28, 4, 75], Operations: ['50+25=75'] Exploring Operation: 28/4=7, Resulting Numbers: [75, 7] Generated Node #3: [75, 7] from Operation: 28/4=7 Current State: 82:[75, 7], Operations: ['50+25=75', '28/4=7'] Exploring Operation: 75+7=82, Resulting Numbers: [82] 82,82 equal: Goal Reached	4	Current State: 82:[50, 28, 4, 25], Operations: [] Exploring Operation: 50/25=2, Resulting Numbers: [28, 4, 2] Generated Node #0,0: 82:[28, 4, 2] Operation: 50/25=2 Exploring Operation: 50+28=78, Resulting Numbers: [4, 25, 78] Generated Node #0,1: 82:[4, 25, 78] Operation: 50+28=78 Exploring Operation: 28-25=3, Resulting Numbers: [50, 4, 3] Generated Node #0,2: 82:[50, 4, 3] Operation: 28-25=3 Exploring Operation: 50+25=75, Resulting Numbers: [28, 4, 75] Generated Node #0,3: 82:[28, 4, 75] Operation: 50+25=75 Start Sub Search at level 1: Moving to Node #0,2 Current State: 82:[50, 4, 3], Operations: ['28-25=3'] Exploring Operation: 50-3=47, Resulting Numbers: [4, 47] Generated Node #0,2,0: 82:[4, 47] Operation: 50-3=47 Exploring Operation: 50-4=46, Resulting Numbers: [3, 46] Generated Node #0,2,1: 82:[3, 46] Operation: 50-4=46 Exploring Operation: 4-3=1, Resulting Numbers: [50, 1] Generated Node #0,2,2: 82:[50, 1] Operation: 4-3=1 Exploring Operation: 50+4=54, Resulting Numbers: [3, 54] Generated Node #0,2,3: 82:[3, 54] Operation: 50+4=54 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 82:[3, 46], Operations: ['28-25=3', '50-4=46'] Exploring Operation: 346=138, Resulting Numbers: [138] 138,82 unequal: No Solution Exploring Operation: 46-3=43, Resulting Numbers: [43] 43,82 unequal: No Solution Exploring Operation: 3+46=49, Resulting Numbers: [49] 49,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 82:[4, 47], Operations: ['28-25=3', '50-3=47'] Exploring Operation: 447=188, Resulting Numbers: [188] 188,82 unequal: No Solution Exploring Operation: 4+47=51, Resulting Numbers: [51] 51,82 unequal: No Solution Exploring Operation: 47-4=43, Resulting Numbers: [43] 43,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 82:[50, 1], Operations: ['28-25=3', '4-3=1'] Exploring Operation: 50+1=51, Resulting Numbers: [51] 51,82 unequal: No Solution Exploring Operation: 50-1=49, Resulting Numbers: [49] 49,82 unequal: No Solution Exploring Operation: 501=50, Resulting Numbers: [50] 50,82 unequal: No Solution Exploring Operation: 50/1=50, Resulting Numbers: [50] 50,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 82:[3, 54], Operations: ['28-25=3', '50+4=54'] Exploring Operation: 354=162, Resulting Numbers: [162] 162,82 unequal: No Solution Exploring Operation: 54/3=18, Resulting Numbers: [18] 18,82 unequal: No Solution Exploring Operation: 3+54=57, Resulting Numbers: [57] 57,82 unequal: No Solution Exploring Operation: 54-3=51, Resulting Numbers: [51] 51,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 82:[28, 4, 2], Operations: ['50/25=2'] Exploring Operation: 4-2=2, Resulting Numbers: [28, 2] Generated Node #0,0,0: 82:[28, 2] Operation: 4-2=2 Exploring Operation: 28+4=32, Resulting Numbers: [2, 32] Generated Node #0,0,1: 82:[2, 32] Operation: 28+4=32 Exploring Operation: 28/4=7, Resulting Numbers: [2, 7] Generated Node #0,0,2: 82:[2, 7] Operation: 28/4=7 Exploring Operation: 28+2=30, Resulting Numbers: [4, 30] Generated Node #0,0,3: 82:[4, 30] Operation: 28+2=30 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 82:[2, 7], Operations: ['50/25=2', '28/4=7'] Exploring Operation: 2+7=9, Resulting Numbers: [9] 9,82 unequal: No Solution Exploring Operation: 7-2=5, Resulting Numbers: [5] 5,82 unequal: No Solution Exploring Operation: 27=14, Resulting Numbers: [14] 14,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 82:[2, 32], Operations: ['50/25=2', '28+4=32'] Exploring Operation: 32/2=16, Resulting Numbers: [16] 16,82 unequal: No Solution Exploring Operation: 232=64, Resulting Numbers: [64] 64,82 unequal: No Solution Exploring Operation: 2+32=34, Resulting Numbers: [34] 34,82 unequal: No Solution Exploring Operation: 32-2=30, Resulting Numbers: [30] 30,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 82:[28, 2], Operations: ['50/25=2', '4-2=2'] Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,82 unequal: No Solution Exploring Operation: 28+2=30, Resulting Numbers: [30] 30,82 unequal: No Solution Exploring Operation: 282=56, Resulting Numbers: [56] 56,82 unequal: No Solution Exploring Operation: 28-2=26, Resulting Numbers: [26] 26,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 82:[4, 30], Operations: ['50/25=2', '28+2=30'] Exploring Operation: 430=120, Resulting Numbers: [120] 120,82 unequal: No Solution Exploring Operation: 30-4=26, Resulting Numbers: [26] 26,82 unequal: No Solution Exploring Operation: 4+30=34, Resulting Numbers: [34] 34,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 82:[4, 25, 78], Operations: ['50+28=78'] Exploring Operation: 4+78=82, Resulting Numbers: [25, 82] Generated Node #0,1,0: 82:[25, 82] Operation: 4+78=82 Exploring Operation: 425=100, Resulting Numbers: [78, 100] Generated Node #0,1,1: 82:[78, 100] Operation: 425=100 Exploring Operation: 4+25=29, Resulting Numbers: [78, 29] Generated Node #0,1,2: 82:[78, 29] Operation: 4+25=29 Exploring Operation: 78-25=53, Resulting Numbers: [4, 53] Generated Node #0,1,3: 82:[4, 53] Operation: 78-25=53 Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 82:[4, 53], Operations: ['50+28=78', '78-25=53'] Exploring Operation: 453=212, Resulting Numbers: [212] 212,82 unequal: No Solution Exploring Operation: 53-4=49, Resulting Numbers: [49] 49,82 unequal: No Solution Exploring Operation: 4+53=57, Resulting Numbers: [57] 57,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 82:[25, 82], Operations: ['50+28=78', '4+78=82'] Exploring Operation: 82-25=57, Resulting Numbers: [57] 57,82 unequal: No Solution Exploring Operation: 25+82=107, Resulting Numbers: [107] 107,82 unequal: No Solution Exploring Operation: 2582=2050, Resulting Numbers: [2050] 2050,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 82:[78, 29], Operations: ['50+28=78', '4+25=29'] Exploring Operation: 78-29=49, Resulting Numbers: [49] 49,82 unequal: No Solution Exploring Operation: 7829=2262, Resulting Numbers: [2262] 2262,82 unequal: No Solution Exploring Operation: 78+29=107, Resulting Numbers: [107] 107,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 82:[78, 100], Operations: ['50+28=78', '425=100'] Exploring Operation: 78100=7800, Resulting Numbers: [7800] 7800,82 unequal: No Solution Exploring Operation: 100-78=22, Resulting Numbers: [22] 22,82 unequal: No Solution Exploring Operation: 78+100=178, Resulting Numbers: [178] 178,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 82:[28, 4, 75], Operations: ['50+25=75'] Exploring Operation: 4+75=79, Resulting Numbers: [28, 79] Generated Node #0,3,0: 82:[28, 79] Operation: 4+75=79 Exploring Operation: 28/4=7, Resulting Numbers: [75, 7] Generated Node #0,3,1: 82:[75, 7] Operation: 28/4=7 Exploring Operation: 75-28=47, Resulting Numbers: [4, 47] Generated Node #0,3,2: 82:[4, 47] Operation: 75-28=47 Exploring Operation: 28+4=32, Resulting Numbers: [75, 32] Generated Node #0,3,3: 82:[75, 32] Operation: 28+4=32 Moving to Node #0,3,2 Current State: 82:[4, 47], Operations: ['50+25=75', '75-28=47'] Exploring Operation: 447=188, Resulting Numbers: [188] 188,82 unequal: No Solution Exploring Operation: 4+47=51, Resulting Numbers: [51] 51,82 unequal: No Solution Exploring Operation: 47-4=43, Resulting Numbers: [43] 43,82 unequal: No Solution Moving to Node #0,3,1 Current State: 82:[75, 7], Operations: ['50+25=75', '28/4=7'] Exploring Operation: 75-7=68, Resulting Numbers: [68] 68,82 unequal: No Solution Exploring Operation: 75*7=525, Resulting Numbers: [525] 525,82 unequal: No Solution Exploring Operation: 75+7=82, Resulting Numbers: [82] 82,82 equal: Goal Reached Moving to Node #0 Current State: 82:[50, 28, 4, 25], Operations: [] Exploring Operation: 50+25=75, Resulting Numbers: [28, 4, 75] Generated Node #0,3: 82:[28, 4, 75] Operation: 50+25=75 Moving to Node #0,3 Current State: 82:[28, 4, 75], Operations: ['50+25=75'] Exploring Operation: 28/4=7, Resulting Numbers: [75, 7] Generated Node #0,3,1: 82:[75, 7] Operation: 28/4=7 Moving to Node #0,3,1 Current State: 82:[75, 7], Operations: ['50+25=75', '28/4=7'] Exploring Operation: 75+7=82, Resulting Numbers: [82] 82,82 equal: Goal Reached Exit Sub Search at level 1	0.939236	hs_4	mult_heuristic
[ 26, 10, 57, 3 ]	38	[ "26-10=16", "57-3=54", "54-16=38" ]	Current State: 38:[26, 10, 57, 3], Operations: [] Exploring Operation: 26-10=16, Resulting Numbers: [57, 3, 16] Generated Node #2: [57, 3, 16] from Operation: 26-10=16 Current State: 38:[57, 3, 16], Operations: ['26-10=16'] Exploring Operation: 57-3=54, Resulting Numbers: [16, 54] Generated Node #3: [16, 54] from Operation: 57-3=54 Current State: 38:[16, 54], Operations: ['26-10=16', '57-3=54'] Exploring Operation: 54-16=38, Resulting Numbers: [38] 38,38 equal: Goal Reached	4	Current State: 38:[26, 10, 57, 3], Operations: [] Exploring Operation: 26+10=36, Resulting Numbers: [57, 3, 36] Generated Node #0,0: 38:[57, 3, 36] Operation: 26+10=36 Exploring Operation: 57/3=19, Resulting Numbers: [26, 10, 19] Generated Node #0,1: 38:[26, 10, 19] Operation: 57/3=19 Exploring Operation: 57-10=47, Resulting Numbers: [26, 3, 47] Generated Node #0,2: 38:[26, 3, 47] Operation: 57-10=47 Exploring Operation: 57-26=31, Resulting Numbers: [10, 3, 31] Generated Node #0,3: 38:[10, 3, 31] Operation: 57-26=31 Start Sub Search at level 1: Moving to Node #0,1 Current State: 38:[26, 10, 19], Operations: ['57/3=19'] Exploring Operation: 26-19=7, Resulting Numbers: [10, 7] Generated Node #0,1,0: 38:[10, 7] Operation: 26-19=7 Exploring Operation: 26-10=16, Resulting Numbers: [19, 16] Generated Node #0,1,1: 38:[19, 16] Operation: 26-10=16 Exploring Operation: 19-10=9, Resulting Numbers: [26, 9] Generated Node #0,1,2: 38:[26, 9] Operation: 19-10=9 Exploring Operation: 26+10=36, Resulting Numbers: [19, 36] Generated Node #0,1,3: 38:[19, 36] Operation: 26+10=36 Moving to Node #0,1,3 Current State: 38:[19, 36], Operations: ['57/3=19', '26+10=36'] Exploring Operation: 19+36=55, Resulting Numbers: [55] 55,38 unequal: No Solution Exploring Operation: 36-19=17, Resulting Numbers: [17] 17,38 unequal: No Solution Exploring Operation: 1936=684, Resulting Numbers: [684] 684,38 unequal: No Solution Moving to Node #0,1,1 Current State: 38:[19, 16], Operations: ['57/3=19', '26-10=16'] Exploring Operation: 19-16=3, Resulting Numbers: [3] 3,38 unequal: No Solution Exploring Operation: 1916=304, Resulting Numbers: [304] 304,38 unequal: No Solution Exploring Operation: 19+16=35, Resulting Numbers: [35] 35,38 unequal: No Solution Moving to Node #0,1,0 Current State: 38:[10, 7], Operations: ['57/3=19', '26-19=7'] Exploring Operation: 10+7=17, Resulting Numbers: [17] 17,38 unequal: No Solution Exploring Operation: 107=70, Resulting Numbers: [70] 70,38 unequal: No Solution Exploring Operation: 10-7=3, Resulting Numbers: [3] 3,38 unequal: No Solution Moving to Node #0,1,2 Current State: 38:[26, 9], Operations: ['57/3=19', '19-10=9'] Exploring Operation: 26-9=17, Resulting Numbers: [17] 17,38 unequal: No Solution Exploring Operation: 26+9=35, Resulting Numbers: [35] 35,38 unequal: No Solution Exploring Operation: 269=234, Resulting Numbers: [234] 234,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 38:[10, 3, 31], Operations: ['57-26=31'] Exploring Operation: 31-10=21, Resulting Numbers: [3, 21] Generated Node #0,3,0: 38:[3, 21] Operation: 31-10=21 Exploring Operation: 10+31=41, Resulting Numbers: [3, 41] Generated Node #0,3,1: 38:[3, 41] Operation: 10+31=41 Exploring Operation: 3+31=34, Resulting Numbers: [10, 34] Generated Node #0,3,2: 38:[10, 34] Operation: 3+31=34 Exploring Operation: 10-3=7, Resulting Numbers: [31, 7] Generated Node #0,3,3: 38:[31, 7] Operation: 10-3=7 Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 38:[3, 21], Operations: ['57-26=31', '31-10=21'] Exploring Operation: 21-3=18, Resulting Numbers: [18] 18,38 unequal: No Solution Exploring Operation: 321=63, Resulting Numbers: [63] 63,38 unequal: No Solution Exploring Operation: 3+21=24, Resulting Numbers: [24] 24,38 unequal: No Solution Exploring Operation: 21/3=7, Resulting Numbers: [7] 7,38 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 38:[3, 41], Operations: ['57-26=31', '10+31=41'] Exploring Operation: 341=123, Resulting Numbers: [123] 123,38 unequal: No Solution Exploring Operation: 3+41=44, Resulting Numbers: [44] 44,38 unequal: No Solution Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached Moving to Node #0 Current State: 38:[26, 10, 57, 3], Operations: [] Exploring Operation: 57-26=31, Resulting Numbers: [10, 3, 31] Generated Node #0,3: 38:[10, 3, 31] Operation: 57-26=31 Moving to Node #0,3 Current State: 38:[10, 3, 31], Operations: ['57-26=31'] Exploring Operation: 10+31=41, Resulting Numbers: [3, 41] Generated Node #0,3,1: 38:[3, 41] Operation: 10+31=41 Moving to Node #0,3,1 Current State: 38:[3, 41], Operations: ['57-26=31', '10+31=41'] Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.969618	hs_4	sum_heuristic
[ 56, 62, 2, 43 ]	94	[ "62-43=19", "2*19=38", "56+38=94" ]	Current State: 94:[56, 62, 2, 43], Operations: [] Exploring Operation: 62-43=19, Resulting Numbers: [56, 2, 19] Generated Node #2: [56, 2, 19] from Operation: 62-43=19 Current State: 94:[56, 2, 19], Operations: ['62-43=19'] Exploring Operation: 219=38, Resulting Numbers: [56, 38] Generated Node #3: [56, 38] from Operation: 219=38 Current State: 94:[56, 38], Operations: ['62-43=19', '2*19=38'] Exploring Operation: 56+38=94, Resulting Numbers: [94] 94,94 equal: Goal Reached	4	Current State: 94:[56, 62, 2, 43], Operations: [] Exploring Operation: 62-56=6, Resulting Numbers: [2, 43, 6] Generated Node #0,0: 94:[2, 43, 6] Operation: 62-56=6 Start Sub Search at level 1: Moving to Node #0,0 Current State: 94:[2, 43, 6], Operations: ['62-56=6'] Exploring Operation: 43+6=49, Resulting Numbers: [2, 49] Generated Node #0,0,0: 94:[2, 49] Operation: 43+6=49 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 94:[2, 49], Operations: ['62-56=6', '43+6=49'] Exploring Operation: 49-2=47, Resulting Numbers: [47] 47,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 93, 11, 65, 38 ]	95	[ "11+65=76", "76/38=2", "93+2=95" ]	Current State: 95:[93, 11, 65, 38], Operations: [] Exploring Operation: 11+65=76, Resulting Numbers: [93, 38, 76] Generated Node #2: [93, 38, 76] from Operation: 11+65=76 Current State: 95:[93, 38, 76], Operations: ['11+65=76'] Exploring Operation: 76/38=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 76/38=2 Current State: 95:[93, 2], Operations: ['11+65=76', '76/38=2'] Exploring Operation: 93+2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached	4	Current State: 95:[93, 11, 65, 38], Operations: [] Exploring Operation: 65+38=103, Resulting Numbers: [93, 11, 103] Generated Node #0,0: 95:[93, 11, 103] Operation: 65+38=103 Moving to Node #0,0 Current State: 95:[93, 11, 103], Operations: ['65+38=103'] Exploring Operation: 103-11=92, Resulting Numbers: [93, 92] Generated Node #0,0,0: 95:[93, 92] Operation: 103-11=92 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 95:[93, 92], Operations: ['65+38=103', '103-11=92'] Exploring Operation: 93-92=1, Resulting Numbers: [1] 1,95 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 98, 36, 73, 48 ]	87	[ "98-36=62", "73-48=25", "62+25=87" ]	Current State: 87:[98, 36, 73, 48], Operations: [] Exploring Operation: 98-36=62, Resulting Numbers: [73, 48, 62] Generated Node #2: [73, 48, 62] from Operation: 98-36=62 Current State: 87:[73, 48, 62], Operations: ['98-36=62'] Exploring Operation: 73-48=25, Resulting Numbers: [62, 25] Generated Node #3: [62, 25] from Operation: 73-48=25 Current State: 87:[62, 25], Operations: ['98-36=62', '73-48=25'] Exploring Operation: 62+25=87, Resulting Numbers: [87] 87,87 equal: Goal Reached	4	Current State: 87:[98, 36, 73, 48], Operations: [] Exploring Operation: 73-48=25, Resulting Numbers: [98, 36, 25] Generated Node #0,0: 87:[98, 36, 25] Operation: 73-48=25 Exploring Operation: 36+48=84, Resulting Numbers: [98, 73, 84] Generated Node #0,1: 87:[98, 73, 84] Operation: 36+48=84 Exploring Operation: 48-36=12, Resulting Numbers: [98, 73, 12] Generated Node #0,2: 87:[98, 73, 12] Operation: 48-36=12 Exploring Operation: 73-36=37, Resulting Numbers: [98, 48, 37] Generated Node #0,3: 87:[98, 48, 37] Operation: 73-36=37 Exploring Operation: 98-73=25, Resulting Numbers: [36, 48, 25] Generated Node #0,4: 87:[36, 48, 25] Operation: 98-73=25 Start Sub Search at level 1: Moving to Node #0,0 Current State: 87:[98, 36, 25], Operations: ['73-48=25'] Exploring Operation: 36+25=61, Resulting Numbers: [98, 61] Generated Node #0,0,0: 87:[98, 61] Operation: 36+25=61 Exploring Operation: 98-36=62, Resulting Numbers: [25, 62] Generated Node #0,0,1: 87:[25, 62] Operation: 98-36=62 Exploring Operation: 98-25=73, Resulting Numbers: [36, 73] Generated Node #0,0,2: 87:[36, 73] Operation: 98-25=73 Exploring Operation: 36-25=11, Resulting Numbers: [98, 11] Generated Node #0,0,3: 87:[98, 11] Operation: 36-25=11 Exploring Operation: 98+25=123, Resulting Numbers: [36, 123] Generated Node #0,0,4: 87:[36, 123] Operation: 98+25=123 Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 87:[98, 11], Operations: ['73-48=25', '36-25=11'] Exploring Operation: 98-11=87, Resulting Numbers: [87] 87,87 equal: Goal Reached Moving to Node #0 Current State: 87:[98, 36, 73, 48], Operations: [] Exploring Operation: 73-48=25, Resulting Numbers: [98, 36, 25] Generated Node #0,0: 87:[98, 36, 25] Operation: 73-48=25 Moving to Node #0,0 Current State: 87:[98, 36, 25], Operations: ['73-48=25'] Exploring Operation: 36-25=11, Resulting Numbers: [98, 11] Generated Node #0,0,3: 87:[98, 11] Operation: 36-25=11 Moving to Node #0,0,3 Current State: 87:[98, 11], Operations: ['73-48=25', '36-25=11'] Exploring Operation: 98-11=87, Resulting Numbers: [87] 87,87 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.986979	hs_5	sum_heuristic
[ 24, 97, 37, 36 ]	90	[ "97-37=60", "36*60=2160", "2160/24=90" ]	Current State: 90:[24, 97, 37, 36], Operations: [] Exploring Operation: 97-37=60, Resulting Numbers: [24, 36, 60] Generated Node #2: [24, 36, 60] from Operation: 97-37=60 Current State: 90:[24, 36, 60], Operations: ['97-37=60'] Exploring Operation: 3660=2160, Resulting Numbers: [24, 2160] Generated Node #3: [24, 2160] from Operation: 3660=2160 Current State: 90:[24, 2160], Operations: ['97-37=60', '36*60=2160'] Exploring Operation: 2160/24=90, Resulting Numbers: [90] 90,90 equal: Goal Reached	4	Current State: 90:[24, 97, 37, 36], Operations: [] Exploring Operation: 37-24=13, Resulting Numbers: [97, 36, 13] Generated Node #0,0: 90:[97, 36, 13] Operation: 37-24=13 Exploring Operation: 37-36=1, Resulting Numbers: [24, 97, 1] Generated Node #0,1: 90:[24, 97, 1] Operation: 37-36=1 Start Sub Search at level 1: Moving to Node #0,1 Current State: 90:[24, 97, 1], Operations: ['37-36=1'] Exploring Operation: 24+1=25, Resulting Numbers: [97, 25] Generated Node #0,1,0: 90:[97, 25] Operation: 24+1=25 Exploring Operation: 24-1=23, Resulting Numbers: [97, 23] Generated Node #0,1,1: 90:[97, 23] Operation: 24-1=23 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 90:[97, 25], Operations: ['37-36=1', '24+1=25'] Exploring Operation: 97-25=72, Resulting Numbers: [72] 72,90 unequal: No Solution Exploring Operation: 97+25=122, Resulting Numbers: [122] 122,90 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 90:[97, 23], Operations: ['37-36=1', '24-1=23'] Exploring Operation: 97+23=120, Resulting Numbers: [120] 120,90 unequal: No Solution Exploring Operation: 97-23=74, Resulting Numbers: [74] 74,90 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 90:[97, 36, 13], Operations: ['37-24=13'] Exploring Operation: 36+13=49, Resulting Numbers: [97, 49] Generated Node #0,0,0: 90:[97, 49] Operation: 36+13=49 Exploring Operation: 97-13=84, Resulting Numbers: [36, 84] Generated Node #0,0,1: 90:[36, 84] Operation: 97-13=84 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 90:[97, 49], Operations: ['37-24=13', '36+13=49'] Exploring Operation: 97+49=146, Resulting Numbers: [146] 146,90 unequal: No Solution Exploring Operation: 97-49=48, Resulting Numbers: [48] 48,90 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 90:[36, 84], Operations: ['37-24=13', '97-13=84'] Exploring Operation: 36+84=120, Resulting Numbers: [120] 120,90 unequal: No Solution Exploring Operation: 84-36=48, Resulting Numbers: [48] 48,90 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	sum_heuristic
[ 64, 59, 55, 43 ]	93	[ "64-59=5", "55+43=98", "98-5=93" ]	Current State: 93:[64, 59, 55, 43], Operations: [] Exploring Operation: 64-59=5, Resulting Numbers: [55, 43, 5] Generated Node #2: [55, 43, 5] from Operation: 64-59=5 Current State: 93:[55, 43, 5], Operations: ['64-59=5'] Exploring Operation: 55+43=98, Resulting Numbers: [5, 98] Generated Node #3: [5, 98] from Operation: 55+43=98 Current State: 93:[5, 98], Operations: ['64-59=5', '55+43=98'] Exploring Operation: 98-5=93, Resulting Numbers: [93] 93,93 equal: Goal Reached	4	Current State: 93:[64, 59, 55, 43], Operations: [] Exploring Operation: 59+55=114, Resulting Numbers: [64, 43, 114] Generated Node #0,0: 93:[64, 43, 114] Operation: 59+55=114 Exploring Operation: 59-55=4, Resulting Numbers: [64, 43, 4] Generated Node #0,1: 93:[64, 43, 4] Operation: 59-55=4 Exploring Operation: 64-43=21, Resulting Numbers: [59, 55, 21] Generated Node #0,2: 93:[59, 55, 21] Operation: 64-43=21 Exploring Operation: 64-55=9, Resulting Numbers: [59, 43, 9] Generated Node #0,3: 93:[59, 43, 9] Operation: 64-55=9 Exploring Operation: 64-59=5, Resulting Numbers: [55, 43, 5] Generated Node #0,4: 93:[55, 43, 5] Operation: 64-59=5 Moving to Node #0,4 Current State: 93:[55, 43, 5], Operations: ['64-59=5'] Exploring Operation: 43-5=38, Resulting Numbers: [55, 38] Generated Node #0,4,0: 93:[55, 38] Operation: 43-5=38 Exploring Operation: 55-43=12, Resulting Numbers: [5, 12] Generated Node #0,4,1: 93:[5, 12] Operation: 55-43=12 Exploring Operation: 55+43=98, Resulting Numbers: [5, 98] Generated Node #0,4,2: 93:[5, 98] Operation: 55+43=98 Exploring Operation: 55/5=11, Resulting Numbers: [43, 11] Generated Node #0,4,3: 93:[43, 11] Operation: 55/5=11 Exploring Operation: 55-5=50, Resulting Numbers: [43, 50] Generated Node #0,4,4: 93:[43, 50] Operation: 55-5=50 Moving to Node #0,1 Current State: 93:[64, 43, 4], Operations: ['59-55=4'] Exploring Operation: 64/4=16, Resulting Numbers: [43, 16] Generated Node #0,1,0: 93:[43, 16] Operation: 64/4=16 Exploring Operation: 64-43=21, Resulting Numbers: [4, 21] Generated Node #0,1,1: 93:[4, 21] Operation: 64-43=21 Exploring Operation: 64+43=107, Resulting Numbers: [4, 107] Generated Node #0,1,2: 93:[4, 107] Operation: 64+43=107 Exploring Operation: 43-4=39, Resulting Numbers: [64, 39] Generated Node #0,1,3: 93:[64, 39] Operation: 43-4=39 Exploring Operation: 64+4=68, Resulting Numbers: [43, 68] Generated Node #0,1,4: 93:[43, 68] Operation: 64+4=68 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 93:[4, 21], Operations: ['59-55=4', '64-43=21'] Exploring Operation: 421=84, Resulting Numbers: [84] 84,93 unequal: No Solution Exploring Operation: 21-4=17, Resulting Numbers: [17] 17,93 unequal: No Solution Exploring Operation: 4+21=25, Resulting Numbers: [25] 25,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 93:[4, 107], Operations: ['59-55=4', '64+43=107'] Exploring Operation: 107-4=103, Resulting Numbers: [103] 103,93 unequal: No Solution Exploring Operation: 4+107=111, Resulting Numbers: [111] 111,93 unequal: No Solution Exploring Operation: 4107=428, Resulting Numbers: [428] 428,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 93:[43, 16], Operations: ['59-55=4', '64/4=16'] Exploring Operation: 4316=688, Resulting Numbers: [688] 688,93 unequal: No Solution Exploring Operation: 43-16=27, Resulting Numbers: [27] 27,93 unequal: No Solution Exploring Operation: 43+16=59, Resulting Numbers: [59] 59,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 93:[64, 39], Operations: ['59-55=4', '43-4=39'] Exploring Operation: 64-39=25, Resulting Numbers: [25] 25,93 unequal: No Solution Exploring Operation: 6439=2496, Resulting Numbers: [2496] 2496,93 unequal: No Solution Exploring Operation: 64+39=103, Resulting Numbers: [103] 103,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 93:[43, 68], Operations: ['59-55=4', '64+4=68'] Exploring Operation: 68-43=25, Resulting Numbers: [25] 25,93 unequal: No Solution Exploring Operation: 4368=2924, Resulting Numbers: [2924] 2924,93 unequal: No Solution Exploring Operation: 43+68=111, Resulting Numbers: [111] 111,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 93:[59, 43, 9], Operations: ['64-55=9'] Exploring Operation: 43-9=34, Resulting Numbers: [59, 34] Generated Node #0,3,0: 93:[59, 34] Operation: 43-9=34 Exploring Operation: 59-43=16, Resulting Numbers: [9, 16] Generated Node #0,3,1: 93:[9, 16] Operation: 59-43=16 Exploring Operation: 59+43=102, Resulting Numbers: [9, 102] Generated Node #0,3,2: 93:[9, 102] Operation: 59+43=102 Exploring Operation: 59-9=50, Resulting Numbers: [43, 50] Generated Node #0,3,3: 93:[43, 50] Operation: 59-9=50 Exploring Operation: 59+9=68, Resulting Numbers: [43, 68] Generated Node #0,3,4: 93:[43, 68] Operation: 59+9=68 Moving to Node #0,0 Current State: 93:[64, 43, 114], Operations: ['59+55=114'] Exploring Operation: 64+43=107, Resulting Numbers: [114, 107] Generated Node #0,0,0: 93:[114, 107] Operation: 64+43=107 Exploring Operation: 114-64=50, Resulting Numbers: [43, 50] Generated Node #0,0,1: 93:[43, 50] Operation: 114-64=50 Exploring Operation: 43+114=157, Resulting Numbers: [64, 157] Generated Node #0,0,2: 93:[64, 157] Operation: 43+114=157 Exploring Operation: 114-43=71, Resulting Numbers: [64, 71] Generated Node #0,0,3: 93:[64, 71] Operation: 114-43=71 Exploring Operation: 64-43=21, Resulting Numbers: [114, 21] Generated Node #0,0,4: 93:[114, 21] Operation: 64-43=21 Moving to Node #0,2 Current State: 93:[59, 55, 21], Operations: ['64-43=21'] Exploring Operation: 59+21=80, Resulting Numbers: [55, 80] Generated Node #0,2,0: 93:[55, 80] Operation: 59+21=80 Exploring Operation: 59+55=114, Resulting Numbers: [21, 114] Generated Node #0,2,1: 93:[21, 114] Operation: 59+55=114 Exploring Operation: 59-55=4, Resulting Numbers: [21, 4] Generated Node #0,2,2: 93:[21, 4] Operation: 59-55=4 Exploring Operation: 55-21=34, Resulting Numbers: [59, 34] Generated Node #0,2,3: 93:[59, 34] Operation: 55-21=34 Exploring Operation: 59-21=38, Resulting Numbers: [55, 38] Generated Node #0,2,4: 93:[55, 38] Operation: 59-21=38 Moving to Node #0,4,2 Current State: 93:[5, 98], Operations: ['64-59=5', '55+43=98'] Exploring Operation: 598=490, Resulting Numbers: [490] 490,93 unequal: No Solution Exploring Operation: 5+98=103, Resulting Numbers: [103] 103,93 unequal: No Solution Exploring Operation: 98-5=93, Resulting Numbers: [93] 93,93 equal: Goal Reached Moving to Node #0 Current State: 93:[64, 59, 55, 43], Operations: [] Exploring Operation: 64-59=5, Resulting Numbers: [55, 43, 5] Generated Node #0,4: 93:[55, 43, 5] Operation: 64-59=5 Moving to Node #0,4 Current State: 93:[55, 43, 5], Operations: ['64-59=5'] Exploring Operation: 55+43=98, Resulting Numbers: [5, 98] Generated Node #0,4,2: 93:[5, 98] Operation: 55+43=98 Moving to Node #0,4,2 Current State: 93:[5, 98], Operations: ['64-59=5', '55+43=98'] Exploring Operation: 98-5=93, Resulting Numbers: [93] 93,93 equal: Goal Reached	0.954861	hs_5	mult_heuristic
[ 78, 51, 47, 16 ]	14	[ "51-47=4", "16*4=64", "78-64=14" ]	Current State: 14:[78, 51, 47, 16], Operations: [] Exploring Operation: 51-47=4, Resulting Numbers: [78, 16, 4] Generated Node #2: [78, 16, 4] from Operation: 51-47=4 Current State: 14:[78, 16, 4], Operations: ['51-47=4'] Exploring Operation: 164=64, Resulting Numbers: [78, 64] Generated Node #3: [78, 64] from Operation: 164=64 Current State: 14:[78, 64], Operations: ['51-47=4', '16*4=64'] Exploring Operation: 78-64=14, Resulting Numbers: [14] 14,14 equal: Goal Reached	4	Current State: 14:[78, 51, 47, 16], Operations: [] Exploring Operation: 78-16=62, Resulting Numbers: [51, 47, 62] Generated Node #0,0: 14:[51, 47, 62] Operation: 78-16=62 Exploring Operation: 78-47=31, Resulting Numbers: [51, 16, 31] Generated Node #0,1: 14:[51, 16, 31] Operation: 78-47=31 Exploring Operation: 51-47=4, Resulting Numbers: [78, 16, 4] Generated Node #0,2: 14:[78, 16, 4] Operation: 51-47=4 Exploring Operation: 78-51=27, Resulting Numbers: [47, 16, 27] Generated Node #0,3: 14:[47, 16, 27] Operation: 78-51=27 Start Sub Search at level 1: Moving to Node #0,3 Current State: 14:[47, 16, 27], Operations: ['78-51=27'] Exploring Operation: 47-27=20, Resulting Numbers: [16, 20] Generated Node #0,3,0: 14:[16, 20] Operation: 47-27=20 Exploring Operation: 27-16=11, Resulting Numbers: [47, 11] Generated Node #0,3,1: 14:[47, 11] Operation: 27-16=11 Exploring Operation: 47-16=31, Resulting Numbers: [27, 31] Generated Node #0,3,2: 14:[27, 31] Operation: 47-16=31 Exploring Operation: 47+16=63, Resulting Numbers: [27, 63] Generated Node #0,3,3: 14:[27, 63] Operation: 47+16=63 Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 14:[16, 20], Operations: ['78-51=27', '47-27=20'] Exploring Operation: 20-16=4, Resulting Numbers: [4] 4,14 unequal: No Solution Exploring Operation: 1620=320, Resulting Numbers: [320] 320,14 unequal: No Solution Exploring Operation: 16+20=36, Resulting Numbers: [36] 36,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 14:[27, 31], Operations: ['78-51=27', '47-16=31'] Exploring Operation: 31-27=4, Resulting Numbers: [4] 4,14 unequal: No Solution Exploring Operation: 27+31=58, Resulting Numbers: [58] 58,14 unequal: No Solution Exploring Operation: 2731=837, Resulting Numbers: [837] 837,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 14:[47, 11], Operations: ['78-51=27', '27-16=11'] Exploring Operation: 47+11=58, Resulting Numbers: [58] 58,14 unequal: No Solution Exploring Operation: 47-11=36, Resulting Numbers: [36] 36,14 unequal: No Solution Exploring Operation: 4711=517, Resulting Numbers: [517] 517,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 14:[27, 63], Operations: ['78-51=27', '47+16=63'] Exploring Operation: 2763=1701, Resulting Numbers: [1701] 1701,14 unequal: No Solution Exploring Operation: 27+63=90, Resulting Numbers: [90] 90,14 unequal: No Solution Exploring Operation: 63-27=36, Resulting Numbers: [36] 36,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 14:[51, 16, 31], Operations: ['78-47=31'] Exploring Operation: 51-16=35, Resulting Numbers: [31, 35] Generated Node #0,1,0: 14:[31, 35] Operation: 51-16=35 Exploring Operation: 51+16=67, Resulting Numbers: [31, 67] Generated Node #0,1,1: 14:[31, 67] Operation: 51+16=67 Exploring Operation: 31-16=15, Resulting Numbers: [51, 15] Generated Node #0,1,2: 14:[51, 15] Operation: 31-16=15 Exploring Operation: 51-31=20, Resulting Numbers: [16, 20] Generated Node #0,1,3: 14:[16, 20] Operation: 51-31=20 Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 14:[16, 20], Operations: ['78-47=31', '51-31=20'] Exploring Operation: 1620=320, Resulting Numbers: [320] 320,14 unequal: No Solution Exploring Operation: 16+20=36, Resulting Numbers: [36] 36,14 unequal: No Solution Exploring Operation: 20-16=4, Resulting Numbers: [4] 4,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 14:[31, 35], Operations: ['78-47=31', '51-16=35'] Exploring Operation: 35-31=4, Resulting Numbers: [4] 4,14 unequal: No Solution Exploring Operation: 31+35=66, Resulting Numbers: [66] 66,14 unequal: No Solution Exploring Operation: 3135=1085, Resulting Numbers: [1085] 1085,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 14:[51, 15], Operations: ['78-47=31', '31-16=15'] Exploring Operation: 51+15=66, Resulting Numbers: [66] 66,14 unequal: No Solution Exploring Operation: 5115=765, Resulting Numbers: [765] 765,14 unequal: No Solution Exploring Operation: 51-15=36, Resulting Numbers: [36] 36,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 14:[31, 67], Operations: ['78-47=31', '51+16=67'] Exploring Operation: 67-31=36, Resulting Numbers: [36] 36,14 unequal: No Solution Exploring Operation: 3167=2077, Resulting Numbers: [2077] 2077,14 unequal: No Solution Exploring Operation: 31+67=98, Resulting Numbers: [98] 98,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 14:[78, 16, 4], Operations: ['51-47=4'] Exploring Operation: 16-4=12, Resulting Numbers: [78, 12] Generated Node #0,2,0: 14:[78, 12] Operation: 16-4=12 Exploring Operation: 78-4=74, Resulting Numbers: [16, 74] Generated Node #0,2,1: 14:[16, 74] Operation: 78-4=74 Exploring Operation: 16/4=4, Resulting Numbers: [78, 4] Generated Node #0,2,2: 14:[78, 4] Operation: 16/4=4 Exploring Operation: 78-16=62, Resulting Numbers: [4, 62] Generated Node #0,2,3: 14:[4, 62] Operation: 78-16=62 Moving to Node #0,2,3 Current State: 14:[4, 62], Operations: ['51-47=4', '78-16=62'] Exploring Operation: 4+62=66, Resulting Numbers: [66] 66,14 unequal: No Solution Exploring Operation: 462=248, Resulting Numbers: [248] 248,14 unequal: No Solution Exploring Operation: 62-4=58, Resulting Numbers: [58] 58,14 unequal: No Solution Moving to Node #0,2,1 Current State: 14:[16, 74], Operations: ['51-47=4', '78-4=74'] Exploring Operation: 1674=1184, Resulting Numbers: [1184] 1184,14 unequal: No Solution Exploring Operation: 74-16=58, Resulting Numbers: [58] 58,14 unequal: No Solution Exploring Operation: 16+74=90, Resulting Numbers: [90] 90,14 unequal: No Solution Moving to Node #0,2,2 Current State: 14:[78, 4], Operations: ['51-47=4', '16/4=4'] Exploring Operation: 78+4=82, Resulting Numbers: [82] 82,14 unequal: No Solution Exploring Operation: 784=312, Resulting Numbers: [312] 312,14 unequal: No Solution Exploring Operation: 78-4=74, Resulting Numbers: [74] 74,14 unequal: No Solution Moving to Node #0,2,0 Current State: 14:[78, 12], Operations: ['51-47=4', '16-4=12'] Exploring Operation: 78-12=66, Resulting Numbers: [66] 66,14 unequal: No Solution Exploring Operation: 78+12=90, Resulting Numbers: [90] 90,14 unequal: No Solution Exploring Operation: 7812=936, Resulting Numbers: [936] 936,14 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 14:[51, 47, 62], Operations: ['78-16=62'] Exploring Operation: 51+47=98, Resulting Numbers: [62, 98] Generated Node #0,0,0: 14:[62, 98] Operation: 51+47=98 Exploring Operation: 51-47=4, Resulting Numbers: [62, 4] Generated Node #0,0,1: 14:[62, 4] Operation: 51-47=4 Exploring Operation: 62-47=15, Resulting Numbers: [51, 15] Generated Node #0,0,2: 14:[51, 15] Operation: 62-47=15 Exploring Operation: 62-51=11, Resulting Numbers: [47, 11] Generated Node #0,0,3: 14:[47, 11] Operation: 62-51=11 Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 14:[47, 11], Operations: ['78-16=62', '62-51=11'] Exploring Operation: 47+11=58, Resulting Numbers: [58] 58,14 unequal: No Solution Exploring Operation: 4711=517, Resulting Numbers: [517] 517,14 unequal: No Solution Exploring Operation: 47-11=36, Resulting Numbers: [36] 36,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 14:[51, 15], Operations: ['78-16=62', '62-47=15'] Exploring Operation: 5115=765, Resulting Numbers: [765] 765,14 unequal: No Solution Exploring Operation: 51-15=36, Resulting Numbers: [36] 36,14 unequal: No Solution Exploring Operation: 51+15=66, Resulting Numbers: [66] 66,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 14:[62, 4], Operations: ['78-16=62', '51-47=4'] Exploring Operation: 62-4=58, Resulting Numbers: [58] 58,14 unequal: No Solution Exploring Operation: 62+4=66, Resulting Numbers: [66] 66,14 unequal: No Solution Exploring Operation: 624=248, Resulting Numbers: [248] 248,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 14:[62, 98], Operations: ['78-16=62', '51+47=98'] Exploring Operation: 62+98=160, Resulting Numbers: [160] 160,14 unequal: No Solution Exploring Operation: 98-62=36, Resulting Numbers: [36] 36,14 unequal: No Solution Exploring Operation: 6298=6076, Resulting Numbers: [6076] 6076,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_4	sum_heuristic
[ 67, 48, 76, 96 ]	95	[ "67+48=115", "96-76=20", "115-20=95" ]	Current State: 95:[67, 48, 76, 96], Operations: [] Exploring Operation: 67+48=115, Resulting Numbers: [76, 96, 115] Generated Node #2: [76, 96, 115] from Operation: 67+48=115 Current State: 95:[76, 96, 115], Operations: ['67+48=115'] Exploring Operation: 96-76=20, Resulting Numbers: [115, 20] Generated Node #3: [115, 20] from Operation: 96-76=20 Current State: 95:[115, 20], Operations: ['67+48=115', '96-76=20'] Exploring Operation: 115-20=95, Resulting Numbers: [95] 95,95 equal: Goal Reached	4	Current State: 95:[67, 48, 76, 96], Operations: [] Exploring Operation: 67-48=19, Resulting Numbers: [76, 96, 19] Generated Node #0,0: 95:[76, 96, 19] Operation: 67-48=19 Exploring Operation: 76-67=9, Resulting Numbers: [48, 96, 9] Generated Node #0,1: 95:[48, 96, 9] Operation: 76-67=9 Exploring Operation: 76-48=28, Resulting Numbers: [67, 96, 28] Generated Node #0,2: 95:[67, 96, 28] Operation: 76-48=28 Exploring Operation: 67+48=115, Resulting Numbers: [76, 96, 115] Generated Node #0,3: 95:[76, 96, 115] Operation: 67+48=115 Start Sub Search at level 1: Moving to Node #0,0 Current State: 95:[76, 96, 19], Operations: ['67-48=19'] Exploring Operation: 76+19=95, Resulting Numbers: [96, 95] Generated Node #0,0,0: 95:[96, 95] Operation: 76+19=95 Exploring Operation: 96-76=20, Resulting Numbers: [19, 20] Generated Node #0,0,1: 95:[19, 20] Operation: 96-76=20 Exploring Operation: 76/19=4, Resulting Numbers: [96, 4] Generated Node #0,0,2: 95:[96, 4] Operation: 76/19=4 Exploring Operation: 96-19=77, Resulting Numbers: [76, 77] Generated Node #0,0,3: 95:[76, 77] Operation: 96-19=77 Moving to Node #0,0,0 Current State: 95:[96, 95], Operations: ['67-48=19', '76+19=95'] Exploring Operation: 96+95=191, Resulting Numbers: [191] 191,95 unequal: No Solution Exploring Operation: 96-95=1, Resulting Numbers: [1] 1,95 unequal: No Solution Exploring Operation: 9695=9120, Resulting Numbers: [9120] 9120,95 unequal: No Solution Moving to Node #0,0,1 Current State: 95:[19, 20], Operations: ['67-48=19', '96-76=20'] Exploring Operation: 19+20=39, Resulting Numbers: [39] 39,95 unequal: No Solution Exploring Operation: 20-19=1, Resulting Numbers: [1] 1,95 unequal: No Solution Exploring Operation: 1920=380, Resulting Numbers: [380] 380,95 unequal: No Solution Moving to Node #0,0,2 Current State: 95:[96, 4], Operations: ['67-48=19', '76/19=4'] Exploring Operation: 96/4=24, Resulting Numbers: [24] 24,95 unequal: No Solution Exploring Operation: 96+4=100, Resulting Numbers: [100] 100,95 unequal: No Solution Exploring Operation: 964=384, Resulting Numbers: [384] 384,95 unequal: No Solution Exploring Operation: 96-4=92, Resulting Numbers: [92] 92,95 unequal: No Solution Moving to Node #0,0,3 Current State: 95:[76, 77], Operations: ['67-48=19', '96-19=77'] Exploring Operation: 7677=5852, Resulting Numbers: [5852] 5852,95 unequal: No Solution Exploring Operation: 76+77=153, Resulting Numbers: [153] 153,95 unequal: No Solution Exploring Operation: 77-76=1, Resulting Numbers: [1] 1,95 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 95:[48, 96, 9], Operations: ['76-67=9'] Exploring Operation: 48-9=39, Resulting Numbers: [96, 39] Generated Node #0,1,0: 95:[96, 39] Operation: 48-9=39 Exploring Operation: 96-9=87, Resulting Numbers: [48, 87] Generated Node #0,1,1: 95:[48, 87] Operation: 96-9=87 Exploring Operation: 96-48=48, Resulting Numbers: [9, 48] Generated Node #0,1,2: 95:[9, 48] Operation: 96-48=48 Exploring Operation: 96/48=2, Resulting Numbers: [9, 2] Generated Node #0,1,3: 95:[9, 2] Operation: 96/48=2 Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 95:[9, 2], Operations: ['76-67=9', '96/48=2'] Exploring Operation: 92=18, Resulting Numbers: [18] 18,95 unequal: No Solution Exploring Operation: 9+2=11, Resulting Numbers: [11] 11,95 unequal: No Solution Exploring Operation: 9-2=7, Resulting Numbers: [7] 7,95 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 95:[96, 39], Operations: ['76-67=9', '48-9=39'] Exploring Operation: 9639=3744, Resulting Numbers: [3744] 3744,95 unequal: No Solution Exploring Operation: 96-39=57, Resulting Numbers: [57] 57,95 unequal: No Solution Exploring Operation: 96+39=135, Resulting Numbers: [135] 135,95 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 95:[9, 48], Operations: ['76-67=9', '96-48=48'] Exploring Operation: 948=432, Resulting Numbers: [432] 432,95 unequal: No Solution Exploring Operation: 48-9=39, Resulting Numbers: [39] 39,95 unequal: No Solution Exploring Operation: 9+48=57, Resulting Numbers: [57] 57,95 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 95:[48, 87], Operations: ['76-67=9', '96-9=87'] Exploring Operation: 48+87=135, Resulting Numbers: [135] 135,95 unequal: No Solution Exploring Operation: 87-48=39, Resulting Numbers: [39] 39,95 unequal: No Solution Exploring Operation: 4887=4176, Resulting Numbers: [4176] 4176,95 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 95:[67, 96, 28], Operations: ['76-48=28'] Exploring Operation: 67-28=39, Resulting Numbers: [96, 39] Generated Node #0,2,0: 95:[96, 39] Operation: 67-28=39 Exploring Operation: 96-67=29, Resulting Numbers: [28, 29] Generated Node #0,2,1: 95:[28, 29] Operation: 96-67=29 Exploring Operation: 96-28=68, Resulting Numbers: [67, 68] Generated Node #0,2,2: 95:[67, 68] Operation: 96-28=68 Exploring Operation: 67+28=95, Resulting Numbers: [96, 95] Generated Node #0,2,3: 95:[96, 95] Operation: 67+28=95 Moving to Node #0,2,3 Current State: 95:[96, 95], Operations: ['76-48=28', '67+28=95'] Exploring Operation: 96-95=1, Resulting Numbers: [1] 1,95 unequal: No Solution Exploring Operation: 96+95=191, Resulting Numbers: [191] 191,95 unequal: No Solution Exploring Operation: 9695=9120, Resulting Numbers: [9120] 9120,95 unequal: No Solution Moving to Node #0,2,1 Current State: 95:[28, 29], Operations: ['76-48=28', '96-67=29'] Exploring Operation: 28+29=57, Resulting Numbers: [57] 57,95 unequal: No Solution Exploring Operation: 29-28=1, Resulting Numbers: [1] 1,95 unequal: No Solution Exploring Operation: 2829=812, Resulting Numbers: [812] 812,95 unequal: No Solution Moving to Node #0,2,0 Current State: 95:[96, 39], Operations: ['76-48=28', '67-28=39'] Exploring Operation: 96+39=135, Resulting Numbers: [135] 135,95 unequal: No Solution Exploring Operation: 9639=3744, Resulting Numbers: [3744] 3744,95 unequal: No Solution Exploring Operation: 96-39=57, Resulting Numbers: [57] 57,95 unequal: No Solution Moving to Node #0,2,2 Current State: 95:[67, 68], Operations: ['76-48=28', '96-28=68'] Exploring Operation: 68-67=1, Resulting Numbers: [1] 1,95 unequal: No Solution Exploring Operation: 6768=4556, Resulting Numbers: [4556] 4556,95 unequal: No Solution Exploring Operation: 67+68=135, Resulting Numbers: [135] 135,95 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 95:[76, 96, 115], Operations: ['67+48=115'] Exploring Operation: 76+96=172, Resulting Numbers: [115, 172] Generated Node #0,3,0: 95:[115, 172] Operation: 76+96=172 Exploring Operation: 96-76=20, Resulting Numbers: [115, 20] Generated Node #0,3,1: 95:[115, 20] Operation: 96-76=20 Exploring Operation: 115-76=39, Resulting Numbers: [96, 39] Generated Node #0,3,2: 95:[96, 39] Operation: 115-76=39 Exploring Operation: 115-96=19, Resulting Numbers: [76, 19] Generated Node #0,3,3: 95:[76, 19] Operation: 115-96=19 Moving to Node #0,3,3 Current State: 95:[76, 19], Operations: ['67+48=115', '115-96=19'] Exploring Operation: 76-19=57, Resulting Numbers: [57] 57,95 unequal: No Solution Exploring Operation: 76+19=95, Resulting Numbers: [95] 95,95 equal: Goal Reached Moving to Node #0 Current State: 95:[67, 48, 76, 96], Operations: [] Exploring Operation: 67+48=115, Resulting Numbers: [76, 96, 115] Generated Node #0,3: 95:[76, 96, 115] Operation: 67+48=115 Moving to Node #0,3 Current State: 95:[76, 96, 115], Operations: ['67+48=115'] Exploring Operation: 115-96=19, Resulting Numbers: [76, 19] Generated Node #0,3,3: 95:[76, 19] Operation: 115-96=19 Moving to Node #0,3,3 Current State: 95:[76, 19], Operations: ['67+48=115', '115-96=19'] Exploring Operation: 76+19=95, Resulting Numbers: [95] 95,95 equal: Goal Reached Exit Sub Search at level 1	0.945313	hs_4	mult_heuristic
[ 73, 99, 88, 2 ]	82	[ "73+99=172", "88+2=90", "172-90=82" ]	Current State: 82:[73, 99, 88, 2], Operations: [] Exploring Operation: 73+99=172, Resulting Numbers: [88, 2, 172] Generated Node #2: [88, 2, 172] from Operation: 73+99=172 Current State: 82:[88, 2, 172], Operations: ['73+99=172'] Exploring Operation: 88+2=90, Resulting Numbers: [172, 90] Generated Node #3: [172, 90] from Operation: 88+2=90 Current State: 82:[172, 90], Operations: ['73+99=172', '88+2=90'] Exploring Operation: 172-90=82, Resulting Numbers: [82] 82,82 equal: Goal Reached	4	Current State: 82:[73, 99, 88, 2], Operations: [] Exploring Operation: 99-73=26, Resulting Numbers: [88, 2, 26] Generated Node #0,0: 82:[88, 2, 26] Operation: 99-73=26 Exploring Operation: 88/2=44, Resulting Numbers: [73, 99, 44] Generated Node #0,1: 82:[73, 99, 44] Operation: 88/2=44 Exploring Operation: 73+2=75, Resulting Numbers: [99, 88, 75] Generated Node #0,2: 82:[99, 88, 75] Operation: 73+2=75 Exploring Operation: 88-73=15, Resulting Numbers: [99, 2, 15] Generated Node #0,3: 82:[99, 2, 15] Operation: 88-73=15 Exploring Operation: 99-88=11, Resulting Numbers: [73, 2, 11] Generated Node #0,4: 82:[73, 2, 11] Operation: 99-88=11 Moving to Node #0,4 Current State: 82:[73, 2, 11], Operations: ['99-88=11'] Exploring Operation: 73+11=84, Resulting Numbers: [2, 84] Generated Node #0,4,0: 82:[2, 84] Operation: 73+11=84 Exploring Operation: 11-2=9, Resulting Numbers: [73, 9] Generated Node #0,4,1: 82:[73, 9] Operation: 11-2=9 Exploring Operation: 73+2=75, Resulting Numbers: [11, 75] Generated Node #0,4,2: 82:[11, 75] Operation: 73+2=75 Exploring Operation: 73-11=62, Resulting Numbers: [2, 62] Generated Node #0,4,3: 82:[2, 62] Operation: 73-11=62 Exploring Operation: 73-2=71, Resulting Numbers: [11, 71] Generated Node #0,4,4: 82:[11, 71] Operation: 73-2=71 Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 82:[2, 84], Operations: ['99-88=11', '73+11=84'] Exploring Operation: 2*84=168, Resulting Numbers: [168] 168,82 unequal: No Solution Exploring Operation: 2+84=86, Resulting Numbers: [86] 86,82 unequal: No Solution Exploring Operation: 84-2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached Moving to Node #0 Current State: 82:[73, 99, 88, 2], Operations: [] Exploring Operation: 99-88=11, Resulting Numbers: [73, 2, 11] Generated Node #0,4: 82:[73, 2, 11] Operation: 99-88=11 Moving to Node #0,4 Current State: 82:[73, 2, 11], Operations: ['99-88=11'] Exploring Operation: 73+11=84, Resulting Numbers: [2, 84] Generated Node #0,4,0: 82:[2, 84] Operation: 73+11=84 Moving to Node #0,4,0 Current State: 82:[2, 84], Operations: ['99-88=11', '73+11=84'] Exploring Operation: 84-2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached Exit Sub Search at level 1	0.985243	hs_5	mult_heuristic
[ 15, 27, 9, 4 ]	33	[ "15+9=24", "24/4=6", "27+6=33" ]	Current State: 33:[15, 27, 9, 4], Operations: [] Exploring Operation: 15+9=24, Resulting Numbers: [27, 4, 24] Generated Node #2: [27, 4, 24] from Operation: 15+9=24 Current State: 33:[27, 4, 24], Operations: ['15+9=24'] Exploring Operation: 24/4=6, Resulting Numbers: [27, 6] Generated Node #3: [27, 6] from Operation: 24/4=6 Current State: 33:[27, 6], Operations: ['15+9=24', '24/4=6'] Exploring Operation: 27+6=33, Resulting Numbers: [33] 33,33 equal: Goal Reached	4	Current State: 33:[15, 27, 9, 4], Operations: [] Exploring Operation: 27-15=12, Resulting Numbers: [9, 4, 12] Generated Node #0,0: 33:[9, 4, 12] Operation: 27-15=12 Exploring Operation: 27/9=3, Resulting Numbers: [15, 4, 3] Generated Node #0,1: 33:[15, 4, 3] Operation: 27/9=3 Moving to Node #0,0 Current State: 33:[9, 4, 12], Operations: ['27-15=12'] Exploring Operation: 12-9=3, Resulting Numbers: [4, 3] Generated Node #0,0,0: 33:[4, 3] Operation: 12-9=3 Exploring Operation: 12/4=3, Resulting Numbers: [9, 3] Generated Node #0,0,1: 33:[9, 3] Operation: 12/4=3 Moving to Node #0,1 Current State: 33:[15, 4, 3], Operations: ['27/9=3'] Exploring Operation: 15-3=12, Resulting Numbers: [4, 12] Generated Node #0,1,0: 33:[4, 12] Operation: 15-3=12 Exploring Operation: 15-4=11, Resulting Numbers: [3, 11] Generated Node #0,1,1: 33:[3, 11] Operation: 15-4=11 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 33:[3, 11], Operations: ['27/9=3', '15-4=11'] Exploring Operation: 3+11=14, Resulting Numbers: [14] 14,33 unequal: No Solution Exploring Operation: 311=33, Resulting Numbers: [33] 33,33 equal: Goal Reached Moving to Node #0 Current State: 33:[15, 27, 9, 4], Operations: [] Exploring Operation: 27/9=3, Resulting Numbers: [15, 4, 3] Generated Node #0,1: 33:[15, 4, 3] Operation: 27/9=3 Moving to Node #0,1 Current State: 33:[15, 4, 3], Operations: ['27/9=3'] Exploring Operation: 15-4=11, Resulting Numbers: [3, 11] Generated Node #0,1,1: 33:[3, 11] Operation: 15-4=11 Moving to Node #0,1,1 Current State: 33:[3, 11], Operations: ['27/9=3', '15-4=11'] Exploring Operation: 311=33, Resulting Numbers: [33] 33,33 equal: Goal Reached Exit Sub Search at level 1	0.989583	hs_2	sum_heuristic
[ 79, 54, 22, 58 ]	97	[ "79+54=133", "58-22=36", "133-36=97" ]	Current State: 97:[79, 54, 22, 58], Operations: [] Exploring Operation: 79+54=133, Resulting Numbers: [22, 58, 133] Generated Node #2: [22, 58, 133] from Operation: 79+54=133 Current State: 97:[22, 58, 133], Operations: ['79+54=133'] Exploring Operation: 58-22=36, Resulting Numbers: [133, 36] Generated Node #3: [133, 36] from Operation: 58-22=36 Current State: 97:[133, 36], Operations: ['79+54=133', '58-22=36'] Exploring Operation: 133-36=97, Resulting Numbers: [97] 97,97 equal: Goal Reached	4	Current State: 97:[79, 54, 22, 58], Operations: [] Exploring Operation: 54+22=76, Resulting Numbers: [79, 58, 76] Generated Node #0,0: 97:[79, 58, 76] Operation: 54+22=76 Moving to Node #0,0 Current State: 97:[79, 58, 76], Operations: ['54+22=76'] Exploring Operation: 58+76=134, Resulting Numbers: [79, 134] Generated Node #0,0,0: 97:[79, 134] Operation: 58+76=134 Moving to Node #0,0,0 Current State: 97:[79, 134], Operations: ['54+22=76', '58+76=134'] Exploring Operation: 134-79=55, Resulting Numbers: [55] 55,97 unequal: No Solution No solution found.	0	hs_1	sum_heuristic
[ 77, 17, 49, 53 ]	42	[ "77-17=60", "49+53=102", "102-60=42" ]	Current State: 42:[77, 17, 49, 53], Operations: [] Exploring Operation: 77-17=60, Resulting Numbers: [49, 53, 60] Generated Node #2: [49, 53, 60] from Operation: 77-17=60 Current State: 42:[49, 53, 60], Operations: ['77-17=60'] Exploring Operation: 49+53=102, Resulting Numbers: [60, 102] Generated Node #3: [60, 102] from Operation: 49+53=102 Current State: 42:[60, 102], Operations: ['77-17=60', '49+53=102'] Exploring Operation: 102-60=42, Resulting Numbers: [42] 42,42 equal: Goal Reached	4	Current State: 42:[77, 17, 49, 53], Operations: [] Exploring Operation: 77-53=24, Resulting Numbers: [17, 49, 24] Generated Node #0,0: 42:[17, 49, 24] Operation: 77-53=24 Moving to Node #0,0 Current State: 42:[17, 49, 24], Operations: ['77-53=24'] Exploring Operation: 24-17=7, Resulting Numbers: [49, 7] Generated Node #0,0,0: 42:[49, 7] Operation: 24-17=7 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 42:[49, 7], Operations: ['77-53=24', '24-17=7'] Exploring Operation: 49-7=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Moving to Node #0 Current State: 42:[77, 17, 49, 53], Operations: [] Exploring Operation: 77-53=24, Resulting Numbers: [17, 49, 24] Generated Node #0,0: 42:[17, 49, 24] Operation: 77-53=24 Moving to Node #0,0 Current State: 42:[17, 49, 24], Operations: ['77-53=24'] Exploring Operation: 24-17=7, Resulting Numbers: [49, 7] Generated Node #0,0,0: 42:[49, 7] Operation: 24-17=7 Moving to Node #0,0,0 Current State: 42:[49, 7], Operations: ['77-53=24', '24-17=7'] Exploring Operation: 49-7=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Exit Sub Search at level 1	0.993924	hs_1	mult_heuristic
[ 81, 62, 27, 77 ]	69	[ "81-62=19", "77-27=50", "19+50=69" ]	Current State: 69:[81, 62, 27, 77], Operations: [] Exploring Operation: 81-62=19, Resulting Numbers: [27, 77, 19] Generated Node #2: [27, 77, 19] from Operation: 81-62=19 Current State: 69:[27, 77, 19], Operations: ['81-62=19'] Exploring Operation: 77-27=50, Resulting Numbers: [19, 50] Generated Node #3: [19, 50] from Operation: 77-27=50 Current State: 69:[19, 50], Operations: ['81-62=19', '77-27=50'] Exploring Operation: 19+50=69, Resulting Numbers: [69] 69,69 equal: Goal Reached	4	Current State: 69:[81, 62, 27, 77], Operations: [] Exploring Operation: 81/27=3, Resulting Numbers: [62, 77, 3] Generated Node #0,0: 69:[62, 77, 3] Operation: 81/27=3 Exploring Operation: 81-27=54, Resulting Numbers: [62, 77, 54] Generated Node #0,1: 69:[62, 77, 54] Operation: 81-27=54 Exploring Operation: 81-77=4, Resulting Numbers: [62, 27, 4] Generated Node #0,2: 69:[62, 27, 4] Operation: 81-77=4 Exploring Operation: 77-62=15, Resulting Numbers: [81, 27, 15] Generated Node #0,3: 69:[81, 27, 15] Operation: 77-62=15 Exploring Operation: 81-62=19, Resulting Numbers: [27, 77, 19] Generated Node #0,4: 69:[27, 77, 19] Operation: 81-62=19 Start Sub Search at level 1: Moving to Node #0,2 Current State: 69:[62, 27, 4], Operations: ['81-77=4'] Exploring Operation: 27-4=23, Resulting Numbers: [62, 23] Generated Node #0,2,0: 69:[62, 23] Operation: 27-4=23 Exploring Operation: 62-4=58, Resulting Numbers: [27, 58] Generated Node #0,2,1: 69:[27, 58] Operation: 62-4=58 Exploring Operation: 62+4=66, Resulting Numbers: [27, 66] Generated Node #0,2,2: 69:[27, 66] Operation: 62+4=66 Exploring Operation: 27+4=31, Resulting Numbers: [62, 31] Generated Node #0,2,3: 69:[62, 31] Operation: 27+4=31 Exploring Operation: 62-27=35, Resulting Numbers: [4, 35] Generated Node #0,2,4: 69:[4, 35] Operation: 62-27=35 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 69:[62, 23], Operations: ['81-77=4', '27-4=23'] Exploring Operation: 62+23=85, Resulting Numbers: [85] 85,69 unequal: No Solution Exploring Operation: 62-23=39, Resulting Numbers: [39] 39,69 unequal: No Solution Exploring Operation: 6223=1426, Resulting Numbers: [1426] 1426,69 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 69:[27, 66], Operations: ['81-77=4', '62+4=66'] Exploring Operation: 2766=1782, Resulting Numbers: [1782] 1782,69 unequal: No Solution Exploring Operation: 27+66=93, Resulting Numbers: [93] 93,69 unequal: No Solution Exploring Operation: 66-27=39, Resulting Numbers: [39] 39,69 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 69:[4, 35], Operations: ['81-77=4', '62-27=35'] Exploring Operation: 435=140, Resulting Numbers: [140] 140,69 unequal: No Solution Exploring Operation: 4+35=39, Resulting Numbers: [39] 39,69 unequal: No Solution Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,69 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 69:[27, 58], Operations: ['81-77=4', '62-4=58'] Exploring Operation: 27+58=85, Resulting Numbers: [85] 85,69 unequal: No Solution Exploring Operation: 2758=1566, Resulting Numbers: [1566] 1566,69 unequal: No Solution Exploring Operation: 58-27=31, Resulting Numbers: [31] 31,69 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 69:[62, 31], Operations: ['81-77=4', '27+4=31'] Exploring Operation: 62/31=2, Resulting Numbers: [2] 2,69 unequal: No Solution Exploring Operation: 6231=1922, Resulting Numbers: [1922] 1922,69 unequal: No Solution Exploring Operation: 62+31=93, Resulting Numbers: [93] 93,69 unequal: No Solution Exploring Operation: 62-31=31, Resulting Numbers: [31] 31,69 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 69:[62, 77, 3], Operations: ['81/27=3'] Exploring Operation: 77-3=74, Resulting Numbers: [62, 74] Generated Node #0,0,0: 69:[62, 74] Operation: 77-3=74 Exploring Operation: 77+3=80, Resulting Numbers: [62, 80] Generated Node #0,0,1: 69:[62, 80] Operation: 77+3=80 Exploring Operation: 62+3=65, Resulting Numbers: [77, 65] Generated Node #0,0,2: 69:[77, 65] Operation: 62+3=65 Exploring Operation: 62-3=59, Resulting Numbers: [77, 59] Generated Node #0,0,3: 69:[77, 59] Operation: 62-3=59 Exploring Operation: 77-62=15, Resulting Numbers: [3, 15] Generated Node #0,0,4: 69:[3, 15] Operation: 77-62=15 Start Sub Search at level 2: Moving to Node #0,0,4 Current State: 69:[3, 15], Operations: ['81/27=3', '77-62=15'] Exploring Operation: 315=45, Resulting Numbers: [45] 45,69 unequal: No Solution Exploring Operation: 15-3=12, Resulting Numbers: [12] 12,69 unequal: No Solution Exploring Operation: 15/3=5, Resulting Numbers: [5] 5,69 unequal: No Solution Exploring Operation: 3+15=18, Resulting Numbers: [18] 18,69 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 69:[62, 74], Operations: ['81/27=3', '77-3=74'] Exploring Operation: 62+74=136, Resulting Numbers: [136] 136,69 unequal: No Solution Exploring Operation: 74-62=12, Resulting Numbers: [12] 12,69 unequal: No Solution Exploring Operation: 6274=4588, Resulting Numbers: [4588] 4588,69 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 69:[77, 65], Operations: ['81/27=3', '62+3=65'] Exploring Operation: 7765=5005, Resulting Numbers: [5005] 5005,69 unequal: No Solution Exploring Operation: 77-65=12, Resulting Numbers: [12] 12,69 unequal: No Solution Exploring Operation: 77+65=142, Resulting Numbers: [142] 142,69 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 69:[62, 80], Operations: ['81/27=3', '77+3=80'] Exploring Operation: 6280=4960, Resulting Numbers: [4960] 4960,69 unequal: No Solution Exploring Operation: 62+80=142, Resulting Numbers: [142] 142,69 unequal: No Solution Exploring Operation: 80-62=18, Resulting Numbers: [18] 18,69 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 69:[77, 59], Operations: ['81/27=3', '62-3=59'] Exploring Operation: 7759=4543, Resulting Numbers: [4543] 4543,69 unequal: No Solution Exploring Operation: 77+59=136, Resulting Numbers: [136] 136,69 unequal: No Solution Exploring Operation: 77-59=18, Resulting Numbers: [18] 18,69 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 69:[27, 77, 19], Operations: ['81-62=19'] Exploring Operation: 77-19=58, Resulting Numbers: [27, 58] Generated Node #0,4,0: 69:[27, 58] Operation: 77-19=58 Exploring Operation: 77-27=50, Resulting Numbers: [19, 50] Generated Node #0,4,1: 69:[19, 50] Operation: 77-27=50 Exploring Operation: 27-19=8, Resulting Numbers: [77, 8] Generated Node #0,4,2: 69:[77, 8] Operation: 27-19=8 Exploring Operation: 27+19=46, Resulting Numbers: [77, 46] Generated Node #0,4,3: 69:[77, 46] Operation: 27+19=46 Exploring Operation: 77+19=96, Resulting Numbers: [27, 96] Generated Node #0,4,4: 69:[27, 96] Operation: 77+19=96 Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 69:[77, 8], Operations: ['81-62=19', '27-19=8'] Exploring Operation: 77-8=69, Resulting Numbers: [69] 69,69 equal: Goal Reached Moving to Node #0 Current State: 69:[81, 62, 27, 77], Operations: [] Exploring Operation: 81-62=19, Resulting Numbers: [27, 77, 19] Generated Node #0,4: 69:[27, 77, 19] Operation: 81-62=19 Moving to Node #0,4 Current State: 69:[27, 77, 19], Operations: ['81-62=19'] Exploring Operation: 27-19=8, Resulting Numbers: [77, 8] Generated Node #0,4,2: 69:[77, 8] Operation: 27-19=8 Moving to Node #0,4,2 Current State: 69:[77, 8], Operations: ['81-62=19', '27-19=8'] Exploring Operation: 77-8=69, Resulting Numbers: [69] 69,69 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.950521	hs_5	mult_heuristic
[ 56, 46, 25, 10 ]	24	[ "56-46=10", "10/10=1", "25-1=24" ]	Current State: 24:[56, 46, 25, 10], Operations: [] Exploring Operation: 56-46=10, Resulting Numbers: [25, 10, 10] Generated Node #2: [25, 10, 10] from Operation: 56-46=10 Current State: 24:[25, 10, 10], Operations: ['56-46=10'] Exploring Operation: 10/10=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 10/10=1 Current State: 24:[25, 1], Operations: ['56-46=10', '10/10=1'] Exploring Operation: 25-1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached	4	Current State: 24:[56, 46, 25, 10], Operations: [] Exploring Operation: 56-46=10, Resulting Numbers: [25, 10, 10] Generated Node #0,0: 24:[25, 10, 10] Operation: 56-46=10 Exploring Operation: 56-25=31, Resulting Numbers: [46, 10, 31] Generated Node #0,1: 24:[46, 10, 31] Operation: 56-25=31 Start Sub Search at level 1: Moving to Node #0,0 Current State: 24:[25, 10, 10], Operations: ['56-46=10'] Exploring Operation: 10/10=1, Resulting Numbers: [25, 1] Generated Node #0,0,0: 24:[25, 1] Operation: 10/10=1 Exploring Operation: 10-10=0, Resulting Numbers: [25, 0] Generated Node #0,0,1: 24:[25, 0] Operation: 10-10=0 Moving to Node #0,0,0 Current State: 24:[25, 1], Operations: ['56-46=10', '10/10=1'] Exploring Operation: 25*1=25, Resulting Numbers: [25] 25,24 unequal: No Solution Exploring Operation: 25-1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Moving to Node #0 Current State: 24:[56, 46, 25, 10], Operations: [] Exploring Operation: 56-46=10, Resulting Numbers: [25, 10, 10] Generated Node #0,0: 24:[25, 10, 10] Operation: 56-46=10 Moving to Node #0,0 Current State: 24:[25, 10, 10], Operations: ['56-46=10'] Exploring Operation: 10/10=1, Resulting Numbers: [25, 1] Generated Node #0,0,0: 24:[25, 1] Operation: 10/10=1 Moving to Node #0,0,0 Current State: 24:[25, 1], Operations: ['56-46=10', '10/10=1'] Exploring Operation: 25-1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Exit Sub Search at level 1	0.991319	hs_2	mult_heuristic
[ 18, 28, 72, 20 ]	70	[ "28-18=10", "20/10=2", "72-2=70" ]	Current State: 70:[18, 28, 72, 20], Operations: [] Exploring Operation: 28-18=10, Resulting Numbers: [72, 20, 10] Generated Node #2: [72, 20, 10] from Operation: 28-18=10 Current State: 70:[72, 20, 10], Operations: ['28-18=10'] Exploring Operation: 20/10=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 20/10=2 Current State: 70:[72, 2], Operations: ['28-18=10', '20/10=2'] Exploring Operation: 72-2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached	4	Current State: 70:[18, 28, 72, 20], Operations: [] Exploring Operation: 28-20=8, Resulting Numbers: [18, 72, 8] Generated Node #0,0: 70:[18, 72, 8] Operation: 28-20=8 Exploring Operation: 20-18=2, Resulting Numbers: [28, 72, 2] Generated Node #0,1: 70:[28, 72, 2] Operation: 20-18=2 Exploring Operation: 28-18=10, Resulting Numbers: [72, 20, 10] Generated Node #0,2: 70:[72, 20, 10] Operation: 28-18=10 Exploring Operation: 72/18=4, Resulting Numbers: [28, 20, 4] Generated Node #0,3: 70:[28, 20, 4] Operation: 72/18=4 Exploring Operation: 18+20=38, Resulting Numbers: [28, 72, 38] Generated Node #0,4: 70:[28, 72, 38] Operation: 18+20=38 Moving to Node #0,0 Current State: 70:[18, 72, 8], Operations: ['28-20=8'] Exploring Operation: 18-8=10, Resulting Numbers: [72, 10] Generated Node #0,0,0: 70:[72, 10] Operation: 18-8=10 Exploring Operation: 72/18=4, Resulting Numbers: [8, 4] Generated Node #0,0,1: 70:[8, 4] Operation: 72/18=4 Exploring Operation: 72/8=9, Resulting Numbers: [18, 9] Generated Node #0,0,2: 70:[18, 9] Operation: 72/8=9 Exploring Operation: 72-8=64, Resulting Numbers: [18, 64] Generated Node #0,0,3: 70:[18, 64] Operation: 72-8=64 Exploring Operation: 18+8=26, Resulting Numbers: [72, 26] Generated Node #0,0,4: 70:[72, 26] Operation: 18+8=26 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 70:[72, 10], Operations: ['28-20=8', '18-8=10'] Exploring Operation: 72+10=82, Resulting Numbers: [82] 82,70 unequal: No Solution Exploring Operation: 72-10=62, Resulting Numbers: [62] 62,70 unequal: No Solution Exploring Operation: 7210=720, Resulting Numbers: [720] 720,70 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 70:[8, 4], Operations: ['28-20=8', '72/18=4'] Exploring Operation: 8/4=2, Resulting Numbers: [2] 2,70 unequal: No Solution Exploring Operation: 8+4=12, Resulting Numbers: [12] 12,70 unequal: No Solution Exploring Operation: 8-4=4, Resulting Numbers: [4] 4,70 unequal: No Solution Exploring Operation: 84=32, Resulting Numbers: [32] 32,70 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 70:[18, 9], Operations: ['28-20=8', '72/8=9'] Exploring Operation: 18+9=27, Resulting Numbers: [27] 27,70 unequal: No Solution Exploring Operation: 18-9=9, Resulting Numbers: [9] 9,70 unequal: No Solution Exploring Operation: 18/9=2, Resulting Numbers: [2] 2,70 unequal: No Solution Exploring Operation: 189=162, Resulting Numbers: [162] 162,70 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 70:[18, 64], Operations: ['28-20=8', '72-8=64'] Exploring Operation: 1864=1152, Resulting Numbers: [1152] 1152,70 unequal: No Solution Exploring Operation: 64-18=46, Resulting Numbers: [46] 46,70 unequal: No Solution Exploring Operation: 18+64=82, Resulting Numbers: [82] 82,70 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 70:[72, 26], Operations: ['28-20=8', '18+8=26'] Exploring Operation: 72+26=98, Resulting Numbers: [98] 98,70 unequal: No Solution Exploring Operation: 7226=1872, Resulting Numbers: [1872] 1872,70 unequal: No Solution Exploring Operation: 72-26=46, Resulting Numbers: [46] 46,70 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 70:[72, 20, 10], Operations: ['28-18=10'] Exploring Operation: 20/10=2, Resulting Numbers: [72, 2] Generated Node #0,2,0: 70:[72, 2] Operation: 20/10=2 Exploring Operation: 20-10=10, Resulting Numbers: [72, 10] Generated Node #0,2,1: 70:[72, 10] Operation: 20-10=10 Exploring Operation: 72-10=62, Resulting Numbers: [20, 62] Generated Node #0,2,2: 70:[20, 62] Operation: 72-10=62 Exploring Operation: 20+10=30, Resulting Numbers: [72, 30] Generated Node #0,2,3: 70:[72, 30] Operation: 20+10=30 Exploring Operation: 72-20=52, Resulting Numbers: [10, 52] Generated Node #0,2,4: 70:[10, 52] Operation: 72-20=52 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 70:[72, 2], Operations: ['28-18=10', '20/10=2'] Exploring Operation: 722=144, Resulting Numbers: [144] 144,70 unequal: No Solution Exploring Operation: 72-2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached Moving to Node #0 Current State: 70:[18, 28, 72, 20], Operations: [] Exploring Operation: 28-18=10, Resulting Numbers: [72, 20, 10] Generated Node #0,2: 70:[72, 20, 10] Operation: 28-18=10 Moving to Node #0,2 Current State: 70:[72, 20, 10], Operations: ['28-18=10'] Exploring Operation: 20/10=2, Resulting Numbers: [72, 2] Generated Node #0,2,0: 70:[72, 2] Operation: 20/10=2 Moving to Node #0,2,0 Current State: 70:[72, 2], Operations: ['28-18=10', '20/10=2'] Exploring Operation: 72-2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached Exit Sub Search at level 1	0.967014	hs_5	sum_heuristic
[ 38, 21, 22, 31 ]	68	[ "38+21=59", "31-22=9", "59+9=68" ]	Current State: 68:[38, 21, 22, 31], Operations: [] Exploring Operation: 38+21=59, Resulting Numbers: [22, 31, 59] Generated Node #2: [22, 31, 59] from Operation: 38+21=59 Current State: 68:[22, 31, 59], Operations: ['38+21=59'] Exploring Operation: 31-22=9, Resulting Numbers: [59, 9] Generated Node #3: [59, 9] from Operation: 31-22=9 Current State: 68:[59, 9], Operations: ['38+21=59', '31-22=9'] Exploring Operation: 59+9=68, Resulting Numbers: [68] 68,68 equal: Goal Reached	4	Current State: 68:[38, 21, 22, 31], Operations: [] Exploring Operation: 22-21=1, Resulting Numbers: [38, 31, 1] Generated Node #0,0: 68:[38, 31, 1] Operation: 22-21=1 Exploring Operation: 38-21=17, Resulting Numbers: [22, 31, 17] Generated Node #0,1: 68:[22, 31, 17] Operation: 38-21=17 Exploring Operation: 38-22=16, Resulting Numbers: [21, 31, 16] Generated Node #0,2: 68:[21, 31, 16] Operation: 38-22=16 Start Sub Search at level 1: Moving to Node #0,0 Current State: 68:[38, 31, 1], Operations: ['22-21=1'] Exploring Operation: 38-31=7, Resulting Numbers: [1, 7] Generated Node #0,0,0: 68:[1, 7] Operation: 38-31=7 Exploring Operation: 38+31=69, Resulting Numbers: [1, 69] Generated Node #0,0,1: 68:[1, 69] Operation: 38+31=69 Exploring Operation: 38-1=37, Resulting Numbers: [31, 37] Generated Node #0,0,2: 68:[31, 37] Operation: 38-1=37 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 68:[1, 69], Operations: ['22-21=1', '38+31=69'] Exploring Operation: 69/1=69, Resulting Numbers: [69] 69,68 unequal: No Solution Exploring Operation: 69-1=68, Resulting Numbers: [68] 68,68 equal: Goal Reached Moving to Node #0 Current State: 68:[38, 21, 22, 31], Operations: [] Exploring Operation: 22-21=1, Resulting Numbers: [38, 31, 1] Generated Node #0,0: 68:[38, 31, 1] Operation: 22-21=1 Moving to Node #0,0 Current State: 68:[38, 31, 1], Operations: ['22-21=1'] Exploring Operation: 38+31=69, Resulting Numbers: [1, 69] Generated Node #0,0,1: 68:[1, 69] Operation: 38+31=69 Moving to Node #0,0,1 Current State: 68:[1, 69], Operations: ['22-21=1', '38+31=69'] Exploring Operation: 69-1=68, Resulting Numbers: [68] 68,68 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.989583	hs_3	sum_heuristic
[ 93, 34, 87, 8 ]	68	[ "93-87=6", "8-6=2", "34*2=68" ]	Current State: 68:[93, 34, 87, 8], Operations: [] Exploring Operation: 93-87=6, Resulting Numbers: [34, 8, 6] Generated Node #2: [34, 8, 6] from Operation: 93-87=6 Current State: 68:[34, 8, 6], Operations: ['93-87=6'] Exploring Operation: 8-6=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 8-6=2 Current State: 68:[34, 2], Operations: ['93-87=6', '8-6=2'] Exploring Operation: 34*2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached	4	Current State: 68:[93, 34, 87, 8], Operations: [] Exploring Operation: 93-8=85, Resulting Numbers: [34, 87, 85] Generated Node #0,0: 68:[34, 87, 85] Operation: 93-8=85 Exploring Operation: 93-34=59, Resulting Numbers: [87, 8, 59] Generated Node #0,1: 68:[87, 8, 59] Operation: 93-34=59 Exploring Operation: 93-87=6, Resulting Numbers: [34, 8, 6] Generated Node #0,2: 68:[34, 8, 6] Operation: 93-87=6 Exploring Operation: 87-8=79, Resulting Numbers: [93, 34, 79] Generated Node #0,3: 68:[93, 34, 79] Operation: 87-8=79 Moving to Node #0,2 Current State: 68:[34, 8, 6], Operations: ['93-87=6'] Exploring Operation: 8-6=2, Resulting Numbers: [34, 2] Generated Node #0,2,0: 68:[34, 2] Operation: 8-6=2 Exploring Operation: 34+8=42, Resulting Numbers: [6, 42] Generated Node #0,2,1: 68:[6, 42] Operation: 34+8=42 Exploring Operation: 8+6=14, Resulting Numbers: [34, 14] Generated Node #0,2,2: 68:[34, 14] Operation: 8+6=14 Exploring Operation: 34-8=26, Resulting Numbers: [6, 26] Generated Node #0,2,3: 68:[6, 26] Operation: 34-8=26 Moving to Node #0,1 Current State: 68:[87, 8, 59], Operations: ['93-34=59'] Exploring Operation: 87+8=95, Resulting Numbers: [59, 95] Generated Node #0,1,0: 68:[59, 95] Operation: 87+8=95 Exploring Operation: 87-8=79, Resulting Numbers: [59, 79] Generated Node #0,1,1: 68:[59, 79] Operation: 87-8=79 Exploring Operation: 87-59=28, Resulting Numbers: [8, 28] Generated Node #0,1,2: 68:[8, 28] Operation: 87-59=28 Exploring Operation: 8+59=67, Resulting Numbers: [87, 67] Generated Node #0,1,3: 68:[87, 67] Operation: 8+59=67 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 68:[8, 28], Operations: ['93-34=59', '87-59=28'] Exploring Operation: 8+28=36, Resulting Numbers: [36] 36,68 unequal: No Solution Exploring Operation: 828=224, Resulting Numbers: [224] 224,68 unequal: No Solution Exploring Operation: 28-8=20, Resulting Numbers: [20] 20,68 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 68:[59, 79], Operations: ['93-34=59', '87-8=79'] Exploring Operation: 59+79=138, Resulting Numbers: [138] 138,68 unequal: No Solution Exploring Operation: 79-59=20, Resulting Numbers: [20] 20,68 unequal: No Solution Exploring Operation: 5979=4661, Resulting Numbers: [4661] 4661,68 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 68:[87, 67], Operations: ['93-34=59', '8+59=67'] Exploring Operation: 87-67=20, Resulting Numbers: [20] 20,68 unequal: No Solution Exploring Operation: 8767=5829, Resulting Numbers: [5829] 5829,68 unequal: No Solution Exploring Operation: 87+67=154, Resulting Numbers: [154] 154,68 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 68:[59, 95], Operations: ['93-34=59', '87+8=95'] Exploring Operation: 59+95=154, Resulting Numbers: [154] 154,68 unequal: No Solution Exploring Operation: 5995=5605, Resulting Numbers: [5605] 5605,68 unequal: No Solution Exploring Operation: 95-59=36, Resulting Numbers: [36] 36,68 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 68:[93, 34, 79], Operations: ['87-8=79'] Exploring Operation: 93+34=127, Resulting Numbers: [79, 127] Generated Node #0,3,0: 68:[79, 127] Operation: 93+34=127 Exploring Operation: 93-34=59, Resulting Numbers: [79, 59] Generated Node #0,3,1: 68:[79, 59] Operation: 93-34=59 Exploring Operation: 93-79=14, Resulting Numbers: [34, 14] Generated Node #0,3,2: 68:[34, 14] Operation: 93-79=14 Exploring Operation: 79-34=45, Resulting Numbers: [93, 45] Generated Node #0,3,3: 68:[93, 45] Operation: 79-34=45 Moving to Node #0,0 Current State: 68:[34, 87, 85], Operations: ['93-8=85'] Exploring Operation: 87-85=2, Resulting Numbers: [34, 2] Generated Node #0,0,0: 68:[34, 2] Operation: 87-85=2 Exploring Operation: 34+87=121, Resulting Numbers: [85, 121] Generated Node #0,0,1: 68:[85, 121] Operation: 34+87=121 Exploring Operation: 85-34=51, Resulting Numbers: [87, 51] Generated Node #0,0,2: 68:[87, 51] Operation: 85-34=51 Exploring Operation: 87-34=53, Resulting Numbers: [85, 53] Generated Node #0,0,3: 68:[85, 53] Operation: 87-34=53 Moving to Node #0,2,0 Current State: 68:[34, 2], Operations: ['93-87=6', '8-6=2'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,68 unequal: No Solution Exploring Operation: 342=68, Resulting Numbers: [68] 68,68 equal: Goal Reached Moving to Node #0 Current State: 68:[93, 34, 87, 8], Operations: [] Exploring Operation: 93-87=6, Resulting Numbers: [34, 8, 6] Generated Node #0,2: 68:[34, 8, 6] Operation: 93-87=6 Moving to Node #0,2 Current State: 68:[34, 8, 6], Operations: ['93-87=6'] Exploring Operation: 8-6=2, Resulting Numbers: [34, 2] Generated Node #0,2,0: 68:[34, 2] Operation: 8-6=2 Moving to Node #0,2,0 Current State: 68:[34, 2], Operations: ['93-87=6', '8-6=2'] Exploring Operation: 342=68, Resulting Numbers: [68] 68,68 equal: Goal Reached	0.967014	hs_4	sum_heuristic
[ 1, 70, 96, 35 ]	94	[ "1*70=70", "70/35=2", "96-2=94" ]	Current State: 94:[1, 70, 96, 35], Operations: [] Exploring Operation: 170=70, Resulting Numbers: [96, 35, 70] Generated Node #2: [96, 35, 70] from Operation: 170=70 Current State: 94:[96, 35, 70], Operations: ['170=70'] Exploring Operation: 70/35=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 70/35=2 Current State: 94:[96, 2], Operations: ['170=70', '70/35=2'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached	4	Current State: 94:[1, 70, 96, 35], Operations: [] Exploring Operation: 70+35=105, Resulting Numbers: [1, 96, 105] Generated Node #0,0: 94:[1, 96, 105] Operation: 70+35=105 Exploring Operation: 70/35=2, Resulting Numbers: [1, 96, 2] Generated Node #0,1: 94:[1, 96, 2] Operation: 70/35=2 Moving to Node #0,1 Current State: 94:[1, 96, 2], Operations: ['70/35=2'] Exploring Operation: 96-1=95, Resulting Numbers: [2, 95] Generated Node #0,1,0: 94:[2, 95] Operation: 96-1=95 Exploring Operation: 96-2=94, Resulting Numbers: [1, 94] Generated Node #0,1,1: 94:[1, 94] Operation: 96-2=94 Moving to Node #0,0 Current State: 94:[1, 96, 105], Operations: ['70+35=105'] Exploring Operation: 96-1=95, Resulting Numbers: [105, 95] Generated Node #0,0,0: 94:[105, 95] Operation: 96-1=95 Exploring Operation: 105-96=9, Resulting Numbers: [1, 9] Generated Node #0,0,1: 94:[1, 9] Operation: 105-96=9 Moving to Node #0,1,0 Current State: 94:[2, 95], Operations: ['70/35=2', '96-1=95'] Exploring Operation: 2+95=97, Resulting Numbers: [97] 97,94 unequal: No Solution Exploring Operation: 95-2=93, Resulting Numbers: [93] 93,94 unequal: No Solution Moving to Node #0,1,1 Current State: 94:[1, 94], Operations: ['70/35=2', '96-2=94'] Exploring Operation: 194=94, Resulting Numbers: [94] 94,94 equal: Goal Reached Moving to Node #0 Current State: 94:[1, 70, 96, 35], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [1, 96, 2] Generated Node #0,1: 94:[1, 96, 2] Operation: 70/35=2 Moving to Node #0,1 Current State: 94:[1, 96, 2], Operations: ['70/35=2'] Exploring Operation: 96-2=94, Resulting Numbers: [1, 94] Generated Node #0,1,1: 94:[1, 94] Operation: 96-2=94 Moving to Node #0,1,1 Current State: 94:[1, 94], Operations: ['70/35=2', '96-2=94'] Exploring Operation: 194=94, Resulting Numbers: [94] 94,94 equal: Goal Reached	0.988715	hs_2	mult_heuristic
[ 10, 51, 31, 88 ]	90	[ "51-31=20", "20/10=2", "88+2=90" ]	Current State: 90:[10, 51, 31, 88], Operations: [] Exploring Operation: 51-31=20, Resulting Numbers: [10, 88, 20] Generated Node #2: [10, 88, 20] from Operation: 51-31=20 Current State: 90:[10, 88, 20], Operations: ['51-31=20'] Exploring Operation: 20/10=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 20/10=2 Current State: 90:[88, 2], Operations: ['51-31=20', '20/10=2'] Exploring Operation: 88+2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached	4	Current State: 90:[10, 51, 31, 88], Operations: [] Exploring Operation: 51-10=41, Resulting Numbers: [31, 88, 41] Generated Node #0,0: 90:[31, 88, 41] Operation: 51-10=41 Exploring Operation: 51-31=20, Resulting Numbers: [10, 88, 20] Generated Node #0,1: 90:[10, 88, 20] Operation: 51-31=20 Exploring Operation: 51+31=82, Resulting Numbers: [10, 88, 82] Generated Node #0,2: 90:[10, 88, 82] Operation: 51+31=82 Exploring Operation: 88-51=37, Resulting Numbers: [10, 31, 37] Generated Node #0,3: 90:[10, 31, 37] Operation: 88-51=37 Moving to Node #0,1 Current State: 90:[10, 88, 20], Operations: ['51-31=20'] Exploring Operation: 20-10=10, Resulting Numbers: [88, 10] Generated Node #0,1,0: 90:[88, 10] Operation: 20-10=10 Exploring Operation: 20/10=2, Resulting Numbers: [88, 2] Generated Node #0,1,1: 90:[88, 2] Operation: 20/10=2 Exploring Operation: 10+88=98, Resulting Numbers: [20, 98] Generated Node #0,1,2: 90:[20, 98] Operation: 10+88=98 Exploring Operation: 10+20=30, Resulting Numbers: [88, 30] Generated Node #0,1,3: 90:[88, 30] Operation: 10+20=30 Moving to Node #0,0 Current State: 90:[31, 88, 41], Operations: ['51-10=41'] Exploring Operation: 88-41=47, Resulting Numbers: [31, 47] Generated Node #0,0,0: 90:[31, 47] Operation: 88-41=47 Exploring Operation: 88-31=57, Resulting Numbers: [41, 57] Generated Node #0,0,1: 90:[41, 57] Operation: 88-31=57 Exploring Operation: 31+41=72, Resulting Numbers: [88, 72] Generated Node #0,0,2: 90:[88, 72] Operation: 31+41=72 Exploring Operation: 41-31=10, Resulting Numbers: [88, 10] Generated Node #0,0,3: 90:[88, 10] Operation: 41-31=10 Moving to Node #0,3 Current State: 90:[10, 31, 37], Operations: ['88-51=37'] Exploring Operation: 37-31=6, Resulting Numbers: [10, 6] Generated Node #0,3,0: 90:[10, 6] Operation: 37-31=6 Exploring Operation: 31-10=21, Resulting Numbers: [37, 21] Generated Node #0,3,1: 90:[37, 21] Operation: 31-10=21 Exploring Operation: 37-10=27, Resulting Numbers: [31, 27] Generated Node #0,3,2: 90:[31, 27] Operation: 37-10=27 Exploring Operation: 10+37=47, Resulting Numbers: [31, 47] Generated Node #0,3,3: 90:[31, 47] Operation: 10+37=47 Moving to Node #0,2 Current State: 90:[10, 88, 82], Operations: ['51+31=82'] Exploring Operation: 10+88=98, Resulting Numbers: [82, 98] Generated Node #0,2,0: 90:[82, 98] Operation: 10+88=98 Exploring Operation: 10+82=92, Resulting Numbers: [88, 92] Generated Node #0,2,1: 90:[88, 92] Operation: 10+82=92 Exploring Operation: 88-82=6, Resulting Numbers: [10, 6] Generated Node #0,2,2: 90:[10, 6] Operation: 88-82=6 Exploring Operation: 88-10=78, Resulting Numbers: [82, 78] Generated Node #0,2,3: 90:[82, 78] Operation: 88-10=78 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 90:[10, 6], Operations: ['51+31=82', '88-82=6'] Exploring Operation: 10+6=16, Resulting Numbers: [16] 16,90 unequal: No Solution Exploring Operation: 106=60, Resulting Numbers: [60] 60,90 unequal: No Solution Exploring Operation: 10-6=4, Resulting Numbers: [4] 4,90 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 90:[88, 92], Operations: ['51+31=82', '10+82=92'] Exploring Operation: 92-88=4, Resulting Numbers: [4] 4,90 unequal: No Solution Exploring Operation: 88+92=180, Resulting Numbers: [180] 180,90 unequal: No Solution Exploring Operation: 8892=8096, Resulting Numbers: [8096] 8096,90 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 90:[82, 98], Operations: ['51+31=82', '10+88=98'] Exploring Operation: 8298=8036, Resulting Numbers: [8036] 8036,90 unequal: No Solution Exploring Operation: 98-82=16, Resulting Numbers: [16] 16,90 unequal: No Solution Exploring Operation: 82+98=180, Resulting Numbers: [180] 180,90 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 90:[82, 78], Operations: ['51+31=82', '88-10=78'] Exploring Operation: 8278=6396, Resulting Numbers: [6396] 6396,90 unequal: No Solution Exploring Operation: 82+78=160, Resulting Numbers: [160] 160,90 unequal: No Solution Exploring Operation: 82-78=4, Resulting Numbers: [4] 4,90 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3,0 Current State: 90:[10, 6], Operations: ['88-51=37', '37-31=6'] Exploring Operation: 106=60, Resulting Numbers: [60] 60,90 unequal: No Solution Exploring Operation: 10-6=4, Resulting Numbers: [4] 4,90 unequal: No Solution Exploring Operation: 10+6=16, Resulting Numbers: [16] 16,90 unequal: No Solution Moving to Node #0,1,3 Current State: 90:[88, 30], Operations: ['51-31=20', '10+20=30'] Exploring Operation: 88+30=118, Resulting Numbers: [118] 118,90 unequal: No Solution Exploring Operation: 8830=2640, Resulting Numbers: [2640] 2640,90 unequal: No Solution Exploring Operation: 88-30=58, Resulting Numbers: [58] 58,90 unequal: No Solution Moving to Node #0,1,0 Current State: 90:[88, 10], Operations: ['51-31=20', '20-10=10'] Exploring Operation: 8810=880, Resulting Numbers: [880] 880,90 unequal: No Solution Exploring Operation: 88-10=78, Resulting Numbers: [78] 78,90 unequal: No Solution Exploring Operation: 88+10=98, Resulting Numbers: [98] 98,90 unequal: No Solution Moving to Node #0,0,3 Current State: 90:[88, 10], Operations: ['51-10=41', '41-31=10'] Exploring Operation: 88+10=98, Resulting Numbers: [98] 98,90 unequal: No Solution Exploring Operation: 8810=880, Resulting Numbers: [880] 880,90 unequal: No Solution Exploring Operation: 88-10=78, Resulting Numbers: [78] 78,90 unequal: No Solution Moving to Node #0,1,1 Current State: 90:[88, 2], Operations: ['51-31=20', '20/10=2'] Exploring Operation: 88/2=44, Resulting Numbers: [44] 44,90 unequal: No Solution Exploring Operation: 88+2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached Moving to Node #0 Current State: 90:[10, 51, 31, 88], Operations: [] Exploring Operation: 51-31=20, Resulting Numbers: [10, 88, 20] Generated Node #0,1: 90:[10, 88, 20] Operation: 51-31=20 Moving to Node #0,1 Current State: 90:[10, 88, 20], Operations: ['51-31=20'] Exploring Operation: 20/10=2, Resulting Numbers: [88, 2] Generated Node #0,1,1: 90:[88, 2] Operation: 20/10=2 Moving to Node #0,1,1 Current State: 90:[88, 2], Operations: ['51-31=20', '20/10=2'] Exploring Operation: 88+2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached	0.956597	hs_4	sum_heuristic
[ 5, 84, 69, 10 ]	30	[ "5+84=89", "69-10=59", "89-59=30" ]	Current State: 30:[5, 84, 69, 10], Operations: [] Exploring Operation: 5+84=89, Resulting Numbers: [69, 10, 89] Generated Node #2: [69, 10, 89] from Operation: 5+84=89 Current State: 30:[69, 10, 89], Operations: ['5+84=89'] Exploring Operation: 69-10=59, Resulting Numbers: [89, 59] Generated Node #3: [89, 59] from Operation: 69-10=59 Current State: 30:[89, 59], Operations: ['5+84=89', '69-10=59'] Exploring Operation: 89-59=30, Resulting Numbers: [30] 30,30 equal: Goal Reached	4	Current State: 30:[5, 84, 69, 10], Operations: [] Exploring Operation: 84-10=74, Resulting Numbers: [5, 69, 74] Generated Node #0,0: 30:[5, 69, 74] Operation: 84-10=74 Exploring Operation: 84-69=15, Resulting Numbers: [5, 10, 15] Generated Node #0,1: 30:[5, 10, 15] Operation: 84-69=15 Moving to Node #0,1 Current State: 30:[5, 10, 15], Operations: ['84-69=15'] Exploring Operation: 10-5=5, Resulting Numbers: [15, 5] Generated Node #0,1,0: 30:[15, 5] Operation: 10-5=5 Exploring Operation: 5+10=15, Resulting Numbers: [15, 15] Generated Node #0,1,1: 30:[15, 15] Operation: 5+10=15 Moving to Node #0,0 Current State: 30:[5, 69, 74], Operations: ['84-10=74'] Exploring Operation: 69-5=64, Resulting Numbers: [74, 64] Generated Node #0,0,0: 30:[74, 64] Operation: 69-5=64 Exploring Operation: 74-69=5, Resulting Numbers: [5, 5] Generated Node #0,0,1: 30:[5, 5] Operation: 74-69=5 Moving to Node #0,1,0 Current State: 30:[15, 5], Operations: ['84-69=15', '10-5=5'] Exploring Operation: 15/5=3, Resulting Numbers: [3] 3,30 unequal: No Solution Exploring Operation: 15-5=10, Resulting Numbers: [10] 10,30 unequal: No Solution Moving to Node #0,0,1 Current State: 30:[5, 5], Operations: ['84-10=74', '74-69=5'] Exploring Operation: 5+5=10, Resulting Numbers: [10] 10,30 unequal: No Solution Exploring Operation: 5/5=1, Resulting Numbers: [1] 1,30 unequal: No Solution Moving to Node #0,1,1 Current State: 30:[15, 15], Operations: ['84-69=15', '5+10=15'] Exploring Operation: 15/15=1, Resulting Numbers: [1] 1,30 unequal: No Solution Exploring Operation: 15+15=30, Resulting Numbers: [30] 30,30 equal: Goal Reached Moving to Node #0 Current State: 30:[5, 84, 69, 10], Operations: [] Exploring Operation: 84-69=15, Resulting Numbers: [5, 10, 15] Generated Node #0,1: 30:[5, 10, 15] Operation: 84-69=15 Moving to Node #0,1 Current State: 30:[5, 10, 15], Operations: ['84-69=15'] Exploring Operation: 5+10=15, Resulting Numbers: [15, 15] Generated Node #0,1,1: 30:[15, 15] Operation: 5+10=15 Moving to Node #0,1,1 Current State: 30:[15, 15], Operations: ['84-69=15', '5+10=15'] Exploring Operation: 15+15=30, Resulting Numbers: [30] 30,30 equal: Goal Reached	0.986111	hs_2	sum_heuristic
[ 79, 79, 33, 77 ]	23	[ "79-33=46", "79-77=2", "46/2=23" ]	Current State: 23:[79, 79, 33, 77], Operations: [] Exploring Operation: 79-33=46, Resulting Numbers: [77, 46] Generated Node #2: [77, 46] from Operation: 79-33=46 Current State: 23:[77, 46], Operations: ['79-33=46'] Exploring Operation: 79-77=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 79-77=2 Current State: 23:[46, 2], Operations: ['79-33=46', '79-77=2'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached	4	Current State: 23:[79, 79, 33, 77], Operations: [] Exploring Operation: 79/79=1, Resulting Numbers: [33, 77, 1] Generated Node #0,0: 23:[33, 77, 1] Operation: 79/79=1 Exploring Operation: 79-79=0, Resulting Numbers: [33, 77, 0] Generated Node #0,1: 23:[33, 77, 0] Operation: 79-79=0 Start Sub Search at level 1: Moving to Node #0,0 Current State: 23:[33, 77, 1], Operations: ['79/79=1'] Exploring Operation: 33-1=32, Resulting Numbers: [77, 32] Generated Node #0,0,0: 23:[77, 32] Operation: 33-1=32 Exploring Operation: 77-33=44, Resulting Numbers: [1, 44] Generated Node #0,0,1: 23:[1, 44] Operation: 77-33=44 Moving to Node #0,0,1 Current State: 23:[1, 44], Operations: ['79/79=1', '77-33=44'] Exploring Operation: 44-1=43, Resulting Numbers: [43] 43,23 unequal: No Solution Exploring Operation: 144=44, Resulting Numbers: [44] 44,23 unequal: No Solution Moving to Node #0,0,0 Current State: 23:[77, 32], Operations: ['79/79=1', '33-1=32'] Exploring Operation: 77-32=45, Resulting Numbers: [45] 45,23 unequal: No Solution Exploring Operation: 77+32=109, Resulting Numbers: [109] 109,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 23:[33, 77, 0], Operations: ['79-79=0'] Exploring Operation: 77-33=44, Resulting Numbers: [0, 44] Generated Node #0,1,0: 23:[0, 44] Operation: 77-33=44 Exploring Operation: 770=0, Resulting Numbers: [33, 0] Generated Node #0,1,1: 23:[33, 0] Operation: 770=0 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 23:[33, 0], Operations: ['79-79=0', '770=0'] Exploring Operation: 33+0=33, Resulting Numbers: [33] 33,23 unequal: No Solution Exploring Operation: 33-0=33, Resulting Numbers: [33] 33,23 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 23:[0, 44], Operations: ['79-79=0', '77-33=44'] Exploring Operation: 44-0=44, Resulting Numbers: [44] 44,23 unequal: No Solution Exploring Operation: 0+44=44, Resulting Numbers: [44] 44,23 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	mult_heuristic
[ 57, 16, 37, 11 ]	19	[ "57*16=912", "37+11=48", "912/48=19" ]	Current State: 19:[57, 16, 37, 11], Operations: [] Exploring Operation: 5716=912, Resulting Numbers: [37, 11, 912] Generated Node #2: [37, 11, 912] from Operation: 5716=912 Current State: 19:[37, 11, 912], Operations: ['5716=912'] Exploring Operation: 37+11=48, Resulting Numbers: [912, 48] Generated Node #3: [912, 48] from Operation: 37+11=48 Current State: 19:[912, 48], Operations: ['5716=912', '37+11=48'] Exploring Operation: 912/48=19, Resulting Numbers: [19] 19,19 equal: Goal Reached	4	Current State: 19:[57, 16, 37, 11], Operations: [] Exploring Operation: 57-37=20, Resulting Numbers: [16, 11, 20] Generated Node #0,0: 19:[16, 11, 20] Operation: 57-37=20 Moving to Node #0,0 Current State: 19:[16, 11, 20], Operations: ['57-37=20'] Exploring Operation: 16+11=27, Resulting Numbers: [20, 27] Generated Node #0,0,0: 19:[20, 27] Operation: 16+11=27 Moving to Node #0,0,0 Current State: 19:[20, 27], Operations: ['57-37=20', '16+11=27'] Exploring Operation: 27-20=7, Resulting Numbers: [7] 7,19 unequal: No Solution No solution found.	0	hs_1	sum_heuristic
[ 54, 71, 43, 17 ]	99	[ "54+71=125", "43-17=26", "125-26=99" ]	Current State: 99:[54, 71, 43, 17], Operations: [] Exploring Operation: 54+71=125, Resulting Numbers: [43, 17, 125] Generated Node #2: [43, 17, 125] from Operation: 54+71=125 Current State: 99:[43, 17, 125], Operations: ['54+71=125'] Exploring Operation: 43-17=26, Resulting Numbers: [125, 26] Generated Node #3: [125, 26] from Operation: 43-17=26 Current State: 99:[125, 26], Operations: ['54+71=125', '43-17=26'] Exploring Operation: 125-26=99, Resulting Numbers: [99] 99,99 equal: Goal Reached	4	Current State: 99:[54, 71, 43, 17], Operations: [] Exploring Operation: 54+43=97, Resulting Numbers: [71, 17, 97] Generated Node #0,0: 99:[71, 17, 97] Operation: 54+43=97 Exploring Operation: 54-43=11, Resulting Numbers: [71, 17, 11] Generated Node #0,1: 99:[71, 17, 11] Operation: 54-43=11 Exploring Operation: 71-54=17, Resulting Numbers: [43, 17, 17] Generated Node #0,2: 99:[43, 17, 17] Operation: 71-54=17 Exploring Operation: 54+71=125, Resulting Numbers: [43, 17, 125] Generated Node #0,3: 99:[43, 17, 125] Operation: 54+71=125 Exploring Operation: 71-43=28, Resulting Numbers: [54, 17, 28] Generated Node #0,4: 99:[54, 17, 28] Operation: 71-43=28 Start Sub Search at level 1: Moving to Node #0,2 Current State: 99:[43, 17, 17], Operations: ['71-54=17'] Exploring Operation: 43-17=26, Resulting Numbers: [17, 26] Generated Node #0,2,0: 99:[17, 26] Operation: 43-17=26 Exploring Operation: 17-17=0, Resulting Numbers: [43, 0] Generated Node #0,2,1: 99:[43, 0] Operation: 17-17=0 Exploring Operation: 43-17=26, Resulting Numbers: [17, 26] Generated Node #0,2,2: 99:[17, 26] Operation: 43-17=26 Exploring Operation: 17/17=1, Resulting Numbers: [43, 1] Generated Node #0,2,3: 99:[43, 1] Operation: 17/17=1 Exploring Operation: 17+17=34, Resulting Numbers: [43, 34] Generated Node #0,2,4: 99:[43, 34] Operation: 17+17=34 Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 99:[43, 34], Operations: ['71-54=17', '17+17=34'] Exploring Operation: 4334=1462, Resulting Numbers: [1462] 1462,99 unequal: No Solution Exploring Operation: 43-34=9, Resulting Numbers: [9] 9,99 unequal: No Solution Exploring Operation: 43+34=77, Resulting Numbers: [77] 77,99 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 99:[43, 1], Operations: ['71-54=17', '17/17=1'] Exploring Operation: 431=43, Resulting Numbers: [43] 43,99 unequal: No Solution Exploring Operation: 43-1=42, Resulting Numbers: [42] 42,99 unequal: No Solution Exploring Operation: 43+1=44, Resulting Numbers: [44] 44,99 unequal: No Solution Exploring Operation: 43/1=43, Resulting Numbers: [43] 43,99 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 99:[17, 26], Operations: ['71-54=17', '43-17=26'] Exploring Operation: 26-17=9, Resulting Numbers: [9] 9,99 unequal: No Solution Exploring Operation: 1726=442, Resulting Numbers: [442] 442,99 unequal: No Solution Exploring Operation: 17+26=43, Resulting Numbers: [43] 43,99 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 99:[43, 0], Operations: ['71-54=17', '17-17=0'] Exploring Operation: 43+0=43, Resulting Numbers: [43] 43,99 unequal: No Solution Exploring Operation: 430=0, Resulting Numbers: [0] 0,99 unequal: No Solution Exploring Operation: 43-0=43, Resulting Numbers: [43] 43,99 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 99:[17, 26], Operations: ['71-54=17', '43-17=26'] Exploring Operation: 1726=442, Resulting Numbers: [442] 442,99 unequal: No Solution Exploring Operation: 26-17=9, Resulting Numbers: [9] 9,99 unequal: No Solution Exploring Operation: 17+26=43, Resulting Numbers: [43] 43,99 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 99:[54, 17, 28], Operations: ['71-43=28'] Exploring Operation: 54-17=37, Resulting Numbers: [28, 37] Generated Node #0,4,0: 99:[28, 37] Operation: 54-17=37 Exploring Operation: 54-28=26, Resulting Numbers: [17, 26] Generated Node #0,4,1: 99:[17, 26] Operation: 54-28=26 Exploring Operation: 54+28=82, Resulting Numbers: [17, 82] Generated Node #0,4,2: 99:[17, 82] Operation: 54+28=82 Exploring Operation: 28-17=11, Resulting Numbers: [54, 11] Generated Node #0,4,3: 99:[54, 11] Operation: 28-17=11 Exploring Operation: 54+17=71, Resulting Numbers: [28, 71] Generated Node #0,4,4: 99:[28, 71] Operation: 54+17=71 Moving to Node #0,4,0 Current State: 99:[28, 37], Operations: ['71-43=28', '54-17=37'] Exploring Operation: 2837=1036, Resulting Numbers: [1036] 1036,99 unequal: No Solution Exploring Operation: 37-28=9, Resulting Numbers: [9] 9,99 unequal: No Solution Exploring Operation: 28+37=65, Resulting Numbers: [65] 65,99 unequal: No Solution Moving to Node #0,4,1 Current State: 99:[17, 26], Operations: ['71-43=28', '54-28=26'] Exploring Operation: 26-17=9, Resulting Numbers: [9] 9,99 unequal: No Solution Exploring Operation: 17+26=43, Resulting Numbers: [43] 43,99 unequal: No Solution Exploring Operation: 1726=442, Resulting Numbers: [442] 442,99 unequal: No Solution Moving to Node #0,4,3 Current State: 99:[54, 11], Operations: ['71-43=28', '28-17=11'] Exploring Operation: 54-11=43, Resulting Numbers: [43] 43,99 unequal: No Solution Exploring Operation: 5411=594, Resulting Numbers: [594] 594,99 unequal: No Solution Exploring Operation: 54+11=65, Resulting Numbers: [65] 65,99 unequal: No Solution Moving to Node #0,4,2 Current State: 99:[17, 82], Operations: ['71-43=28', '54+28=82'] Exploring Operation: 82-17=65, Resulting Numbers: [65] 65,99 unequal: No Solution Exploring Operation: 17+82=99, Resulting Numbers: [99] 99,99 equal: Goal Reached Moving to Node #0 Current State: 99:[54, 71, 43, 17], Operations: [] Exploring Operation: 71-43=28, Resulting Numbers: [54, 17, 28] Generated Node #0,4: 99:[54, 17, 28] Operation: 71-43=28 Moving to Node #0,4 Current State: 99:[54, 17, 28], Operations: ['71-43=28'] Exploring Operation: 54+28=82, Resulting Numbers: [17, 82] Generated Node #0,4,2: 99:[17, 82] Operation: 54+28=82 Moving to Node #0,4,2 Current State: 99:[17, 82], Operations: ['71-43=28', '54+28=82'] Exploring Operation: 17+82=99, Resulting Numbers: [99] 99,99 equal: Goal Reached Exit Sub Search at level 1	0.960069	hs_5	sum_heuristic
[ 12, 1, 64, 3 ]	60	[ "12*1=12", "12/3=4", "64-4=60" ]	Current State: 60:[12, 1, 64, 3], Operations: [] Exploring Operation: 121=12, Resulting Numbers: [64, 3, 12] Generated Node #2: [64, 3, 12] from Operation: 121=12 Current State: 60:[64, 3, 12], Operations: ['121=12'] Exploring Operation: 12/3=4, Resulting Numbers: [64, 4] Generated Node #3: [64, 4] from Operation: 12/3=4 Current State: 60:[64, 4], Operations: ['121=12', '12/3=4'] Exploring Operation: 64-4=60, Resulting Numbers: [60] 60,60 equal: Goal Reached	4	Current State: 60:[12, 1, 64, 3], Operations: [] Exploring Operation: 121=12, Resulting Numbers: [64, 3, 12] Generated Node #0,0: 60:[64, 3, 12] Operation: 121=12 Exploring Operation: 64-3=61, Resulting Numbers: [12, 1, 61] Generated Node #0,1: 60:[12, 1, 61] Operation: 64-3=61 Exploring Operation: 64-1=63, Resulting Numbers: [12, 3, 63] Generated Node #0,2: 60:[12, 3, 63] Operation: 64-1=63 Start Sub Search at level 1: Moving to Node #0,1 Current State: 60:[12, 1, 61], Operations: ['64-3=61'] Exploring Operation: 12/1=12, Resulting Numbers: [61, 12] Generated Node #0,1,0: 60:[61, 12] Operation: 12/1=12 Exploring Operation: 121=12, Resulting Numbers: [61, 12] Generated Node #0,1,1: 60:[61, 12] Operation: 121=12 Exploring Operation: 61-1=60, Resulting Numbers: [12, 60] Generated Node #0,1,2: 60:[12, 60] Operation: 61-1=60 Moving to Node #0,1,2 Current State: 60:[12, 60], Operations: ['64-3=61', '61-1=60'] Exploring Operation: 12+60=72, Resulting Numbers: [72] 72,60 unequal: No Solution Exploring Operation: 60-12=48, Resulting Numbers: [48] 48,60 unequal: No Solution Exploring Operation: 60/12=5, Resulting Numbers: [5] 5,60 unequal: No Solution Moving to Node #0,1,0 Current State: 60:[61, 12], Operations: ['64-3=61', '12/1=12'] Exploring Operation: 61-12=49, Resulting Numbers: [49] 49,60 unequal: No Solution Exploring Operation: 6112=732, Resulting Numbers: [732] 732,60 unequal: No Solution Exploring Operation: 61+12=73, Resulting Numbers: [73] 73,60 unequal: No Solution Moving to Node #0,1,1 Current State: 60:[61, 12], Operations: ['64-3=61', '121=12'] Exploring Operation: 61+12=73, Resulting Numbers: [73] 73,60 unequal: No Solution Exploring Operation: 61-12=49, Resulting Numbers: [49] 49,60 unequal: No Solution Exploring Operation: 6112=732, Resulting Numbers: [732] 732,60 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 60:[12, 3, 63], Operations: ['64-1=63'] Exploring Operation: 12+3=15, Resulting Numbers: [63, 15] Generated Node #0,2,0: 60:[63, 15] Operation: 12+3=15 Exploring Operation: 63-3=60, Resulting Numbers: [12, 60] Generated Node #0,2,1: 60:[12, 60] Operation: 63-3=60 Exploring Operation: 63/3=21, Resulting Numbers: [12, 21] Generated Node #0,2,2: 60:[12, 21] Operation: 63/3=21 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 60:[12, 60], Operations: ['64-1=63', '63-3=60'] Exploring Operation: 60/12=5, Resulting Numbers: [5] 5,60 unequal: No Solution Exploring Operation: 60-12=48, Resulting Numbers: [48] 48,60 unequal: No Solution Exploring Operation: 12+60=72, Resulting Numbers: [72] 72,60 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 60:[12, 21], Operations: ['64-1=63', '63/3=21'] Exploring Operation: 21-12=9, Resulting Numbers: [9] 9,60 unequal: No Solution Exploring Operation: 12+21=33, Resulting Numbers: [33] 33,60 unequal: No Solution Exploring Operation: 1221=252, Resulting Numbers: [252] 252,60 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 60:[63, 15], Operations: ['64-1=63', '12+3=15'] Exploring Operation: 63+15=78, Resulting Numbers: [78] 78,60 unequal: No Solution Exploring Operation: 6315=945, Resulting Numbers: [945] 945,60 unequal: No Solution Exploring Operation: 63-15=48, Resulting Numbers: [48] 48,60 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 60:[64, 3, 12], Operations: ['121=12'] Exploring Operation: 64-3=61, Resulting Numbers: [12, 61] Generated Node #0,0,0: 60:[12, 61] Operation: 64-3=61 Exploring Operation: 3+12=15, Resulting Numbers: [64, 15] Generated Node #0,0,1: 60:[64, 15] Operation: 3+12=15 Exploring Operation: 12/3=4, Resulting Numbers: [64, 4] Generated Node #0,0,2: 60:[64, 4] Operation: 12/3=4 Moving to Node #0,0,0 Current State: 60:[12, 61], Operations: ['121=12', '64-3=61'] Exploring Operation: 1261=732, Resulting Numbers: [732] 732,60 unequal: No Solution Exploring Operation: 61-12=49, Resulting Numbers: [49] 49,60 unequal: No Solution Exploring Operation: 12+61=73, Resulting Numbers: [73] 73,60 unequal: No Solution Moving to Node #0,0,1 Current State: 60:[64, 15], Operations: ['121=12', '3+12=15'] Exploring Operation: 64-15=49, Resulting Numbers: [49] 49,60 unequal: No Solution Exploring Operation: 6415=960, Resulting Numbers: [960] 960,60 unequal: No Solution Exploring Operation: 64+15=79, Resulting Numbers: [79] 79,60 unequal: No Solution Moving to Node #0,0,2 Current State: 60:[64, 4], Operations: ['121=12', '12/3=4'] Exploring Operation: 64-4=60, Resulting Numbers: [60] 60,60 equal: Goal Reached Moving to Node #0 Current State: 60:[12, 1, 64, 3], Operations: [] Exploring Operation: 121=12, Resulting Numbers: [64, 3, 12] Generated Node #0,0: 60:[64, 3, 12] Operation: 121=12 Moving to Node #0,0 Current State: 60:[64, 3, 12], Operations: ['121=12'] Exploring Operation: 12/3=4, Resulting Numbers: [64, 4] Generated Node #0,0,2: 60:[64, 4] Operation: 12/3=4 Moving to Node #0,0,2 Current State: 60:[64, 4], Operations: ['12*1=12', '12/3=4'] Exploring Operation: 64-4=60, Resulting Numbers: [60] 60,60 equal: Goal Reached Exit Sub Search at level 1	0.96441	hs_3	sum_heuristic
[ 44, 54, 64, 58 ]	27	[ "44+64=108", "58-54=4", "108/4=27" ]	Current State: 27:[44, 54, 64, 58], Operations: [] Exploring Operation: 44+64=108, Resulting Numbers: [54, 58, 108] Generated Node #2: [54, 58, 108] from Operation: 44+64=108 Current State: 27:[54, 58, 108], Operations: ['44+64=108'] Exploring Operation: 58-54=4, Resulting Numbers: [108, 4] Generated Node #3: [108, 4] from Operation: 58-54=4 Current State: 27:[108, 4], Operations: ['44+64=108', '58-54=4'] Exploring Operation: 108/4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached	4	Current State: 27:[44, 54, 64, 58], Operations: [] Exploring Operation: 64-58=6, Resulting Numbers: [44, 54, 6] Generated Node #0,0: 27:[44, 54, 6] Operation: 64-58=6 Moving to Node #0,0 Current State: 27:[44, 54, 6], Operations: ['64-58=6'] Exploring Operation: 54-44=10, Resulting Numbers: [6, 10] Generated Node #0,0,0: 27:[6, 10] Operation: 54-44=10 Moving to Node #0,0,0 Current State: 27:[6, 10], Operations: ['64-58=6', '54-44=10'] Exploring Operation: 10-6=4, Resulting Numbers: [4] 4,27 unequal: No Solution No solution found.	0	hs_1	mult_heuristic
[ 98, 85, 29, 64 ]	48	[ "98-85=13", "64-29=35", "13+35=48" ]	Current State: 48:[98, 85, 29, 64], Operations: [] Exploring Operation: 98-85=13, Resulting Numbers: [29, 64, 13] Generated Node #2: [29, 64, 13] from Operation: 98-85=13 Current State: 48:[29, 64, 13], Operations: ['98-85=13'] Exploring Operation: 64-29=35, Resulting Numbers: [13, 35] Generated Node #3: [13, 35] from Operation: 64-29=35 Current State: 48:[13, 35], Operations: ['98-85=13', '64-29=35'] Exploring Operation: 13+35=48, Resulting Numbers: [48] 48,48 equal: Goal Reached	4	Current State: 48:[98, 85, 29, 64], Operations: [] Exploring Operation: 98-29=69, Resulting Numbers: [85, 64, 69] Generated Node #0,0: 48:[85, 64, 69] Operation: 98-29=69 Exploring Operation: 98-85=13, Resulting Numbers: [29, 64, 13] Generated Node #0,1: 48:[29, 64, 13] Operation: 98-85=13 Exploring Operation: 98-64=34, Resulting Numbers: [85, 29, 34] Generated Node #0,2: 48:[85, 29, 34] Operation: 98-64=34 Exploring Operation: 85-64=21, Resulting Numbers: [98, 29, 21] Generated Node #0,3: 48:[98, 29, 21] Operation: 85-64=21 Start Sub Search at level 1: Moving to Node #0,1 Current State: 48:[29, 64, 13], Operations: ['98-85=13'] Exploring Operation: 29+13=42, Resulting Numbers: [64, 42] Generated Node #0,1,0: 48:[64, 42] Operation: 29+13=42 Exploring Operation: 29-13=16, Resulting Numbers: [64, 16] Generated Node #0,1,1: 48:[64, 16] Operation: 29-13=16 Exploring Operation: 64-29=35, Resulting Numbers: [13, 35] Generated Node #0,1,2: 48:[13, 35] Operation: 64-29=35 Exploring Operation: 64-13=51, Resulting Numbers: [29, 51] Generated Node #0,1,3: 48:[29, 51] Operation: 64-13=51 Moving to Node #0,1,3 Current State: 48:[29, 51], Operations: ['98-85=13', '64-13=51'] Exploring Operation: 51-29=22, Resulting Numbers: [22] 22,48 unequal: No Solution Exploring Operation: 29*51=1479, Resulting Numbers: [1479] 1479,48 unequal: No Solution Exploring Operation: 29+51=80, Resulting Numbers: [80] 80,48 unequal: No Solution Moving to Node #0,1,2 Current State: 48:[13, 35], Operations: ['98-85=13', '64-29=35'] Exploring Operation: 13+35=48, Resulting Numbers: [48] 48,48 equal: Goal Reached Moving to Node #0 Current State: 48:[98, 85, 29, 64], Operations: [] Exploring Operation: 98-85=13, Resulting Numbers: [29, 64, 13] Generated Node #0,1: 48:[29, 64, 13] Operation: 98-85=13 Moving to Node #0,1 Current State: 48:[29, 64, 13], Operations: ['98-85=13'] Exploring Operation: 64-29=35, Resulting Numbers: [13, 35] Generated Node #0,1,2: 48:[13, 35] Operation: 64-29=35 Moving to Node #0,1,2 Current State: 48:[13, 35], Operations: ['98-85=13', '64-29=35'] Exploring Operation: 13+35=48, Resulting Numbers: [48] 48,48 equal: Goal Reached Exit Sub Search at level 1	0.986111	hs_4	mult_heuristic
[ 72, 10, 57, 2 ]	83	[ "72/2=36", "57-10=47", "36+47=83" ]	Current State: 83:[72, 10, 57, 2], Operations: [] Exploring Operation: 72/2=36, Resulting Numbers: [10, 57, 36] Generated Node #2: [10, 57, 36] from Operation: 72/2=36 Current State: 83:[10, 57, 36], Operations: ['72/2=36'] Exploring Operation: 57-10=47, Resulting Numbers: [36, 47] Generated Node #3: [36, 47] from Operation: 57-10=47 Current State: 83:[36, 47], Operations: ['72/2=36', '57-10=47'] Exploring Operation: 36+47=83, Resulting Numbers: [83] 83,83 equal: Goal Reached	4	Current State: 83:[72, 10, 57, 2], Operations: [] Exploring Operation: 102=20, Resulting Numbers: [72, 57, 20] Generated Node #0,0: 83:[72, 57, 20] Operation: 102=20 Exploring Operation: 72+10=82, Resulting Numbers: [57, 2, 82] Generated Node #0,1: 83:[57, 2, 82] Operation: 72+10=82 Start Sub Search at level 1: Moving to Node #0,0 Current State: 83:[72, 57, 20], Operations: ['102=20'] Exploring Operation: 57+20=77, Resulting Numbers: [72, 77] Generated Node #0,0,0: 83:[72, 77] Operation: 57+20=77 Exploring Operation: 72+20=92, Resulting Numbers: [57, 92] Generated Node #0,0,1: 83:[57, 92] Operation: 72+20=92 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 83:[72, 77], Operations: ['102=20', '57+20=77'] Exploring Operation: 77-72=5, Resulting Numbers: [5] 5,83 unequal: No Solution Exploring Operation: 72+77=149, Resulting Numbers: [149] 149,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 83:[57, 92], Operations: ['10*2=20', '72+20=92'] Exploring Operation: 92-57=35, Resulting Numbers: [35] 35,83 unequal: No Solution Exploring Operation: 57+92=149, Resulting Numbers: [149] 149,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 83:[57, 2, 82], Operations: ['72+10=82'] Exploring Operation: 2+82=84, Resulting Numbers: [57, 84] Generated Node #0,1,0: 83:[57, 84] Operation: 2+82=84 Exploring Operation: 57+2=59, Resulting Numbers: [82, 59] Generated Node #0,1,1: 83:[82, 59] Operation: 57+2=59 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 83:[82, 59], Operations: ['72+10=82', '57+2=59'] Exploring Operation: 82-59=23, Resulting Numbers: [23] 23,83 unequal: No Solution Exploring Operation: 82+59=141, Resulting Numbers: [141] 141,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 83:[57, 84], Operations: ['72+10=82', '2+82=84'] Exploring Operation: 57+84=141, Resulting Numbers: [141] 141,83 unequal: No Solution Exploring Operation: 84-57=27, Resulting Numbers: [27] 27,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	sum_heuristic
[ 77, 78, 75, 91 ]	65	[ "77-75=2", "78*2=156", "156-91=65" ]	Current State: 65:[77, 78, 75, 91], Operations: [] Exploring Operation: 77-75=2, Resulting Numbers: [78, 91, 2] Generated Node #2: [78, 91, 2] from Operation: 77-75=2 Current State: 65:[78, 91, 2], Operations: ['77-75=2'] Exploring Operation: 782=156, Resulting Numbers: [91, 156] Generated Node #3: [91, 156] from Operation: 782=156 Current State: 65:[91, 156], Operations: ['77-75=2', '78*2=156'] Exploring Operation: 156-91=65, Resulting Numbers: [65] 65,65 equal: Goal Reached	4	Current State: 65:[77, 78, 75, 91], Operations: [] Exploring Operation: 91-78=13, Resulting Numbers: [77, 75, 13] Generated Node #0,0: 65:[77, 75, 13] Operation: 91-78=13 Exploring Operation: 78-75=3, Resulting Numbers: [77, 91, 3] Generated Node #0,1: 65:[77, 91, 3] Operation: 78-75=3 Exploring Operation: 91-77=14, Resulting Numbers: [78, 75, 14] Generated Node #0,2: 65:[78, 75, 14] Operation: 91-77=14 Exploring Operation: 91-75=16, Resulting Numbers: [77, 78, 16] Generated Node #0,3: 65:[77, 78, 16] Operation: 91-75=16 Exploring Operation: 78-77=1, Resulting Numbers: [75, 91, 1] Generated Node #0,4: 65:[75, 91, 1] Operation: 78-77=1 Moving to Node #0,0 Current State: 65:[77, 75, 13], Operations: ['91-78=13'] Exploring Operation: 75+13=88, Resulting Numbers: [77, 88] Generated Node #0,0,0: 65:[77, 88] Operation: 75+13=88 Exploring Operation: 77-13=64, Resulting Numbers: [75, 64] Generated Node #0,0,1: 65:[75, 64] Operation: 77-13=64 Exploring Operation: 77-75=2, Resulting Numbers: [13, 2] Generated Node #0,0,2: 65:[13, 2] Operation: 77-75=2 Exploring Operation: 77+13=90, Resulting Numbers: [75, 90] Generated Node #0,0,3: 65:[75, 90] Operation: 77+13=90 Exploring Operation: 75-13=62, Resulting Numbers: [77, 62] Generated Node #0,0,4: 65:[77, 62] Operation: 75-13=62 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 65:[13, 2], Operations: ['91-78=13', '77-75=2'] Exploring Operation: 13-2=11, Resulting Numbers: [11] 11,65 unequal: No Solution Exploring Operation: 132=26, Resulting Numbers: [26] 26,65 unequal: No Solution Exploring Operation: 13+2=15, Resulting Numbers: [15] 15,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 65:[75, 64], Operations: ['91-78=13', '77-13=64'] Exploring Operation: 75+64=139, Resulting Numbers: [139] 139,65 unequal: No Solution Exploring Operation: 7564=4800, Resulting Numbers: [4800] 4800,65 unequal: No Solution Exploring Operation: 75-64=11, Resulting Numbers: [11] 11,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 65:[77, 62], Operations: ['91-78=13', '75-13=62'] Exploring Operation: 7762=4774, Resulting Numbers: [4774] 4774,65 unequal: No Solution Exploring Operation: 77-62=15, Resulting Numbers: [15] 15,65 unequal: No Solution Exploring Operation: 77+62=139, Resulting Numbers: [139] 139,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 65:[77, 88], Operations: ['91-78=13', '75+13=88'] Exploring Operation: 7788=6776, Resulting Numbers: [6776] 6776,65 unequal: No Solution Exploring Operation: 88-77=11, Resulting Numbers: [11] 11,65 unequal: No Solution Exploring Operation: 77+88=165, Resulting Numbers: [165] 165,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 65:[75, 90], Operations: ['91-78=13', '77+13=90'] Exploring Operation: 7590=6750, Resulting Numbers: [6750] 6750,65 unequal: No Solution Exploring Operation: 75+90=165, Resulting Numbers: [165] 165,65 unequal: No Solution Exploring Operation: 90-75=15, Resulting Numbers: [15] 15,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 65:[78, 75, 14], Operations: ['91-77=14'] Exploring Operation: 78-75=3, Resulting Numbers: [14, 3] Generated Node #0,2,0: 65:[14, 3] Operation: 78-75=3 Exploring Operation: 75-14=61, Resulting Numbers: [78, 61] Generated Node #0,2,1: 65:[78, 61] Operation: 75-14=61 Exploring Operation: 75+14=89, Resulting Numbers: [78, 89] Generated Node #0,2,2: 65:[78, 89] Operation: 75+14=89 Exploring Operation: 78+14=92, Resulting Numbers: [75, 92] Generated Node #0,2,3: 65:[75, 92] Operation: 78+14=92 Exploring Operation: 78-14=64, Resulting Numbers: [75, 64] Generated Node #0,2,4: 65:[75, 64] Operation: 78-14=64 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 65:[14, 3], Operations: ['91-77=14', '78-75=3'] Exploring Operation: 14+3=17, Resulting Numbers: [17] 17,65 unequal: No Solution Exploring Operation: 14-3=11, Resulting Numbers: [11] 11,65 unequal: No Solution Exploring Operation: 143=42, Resulting Numbers: [42] 42,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 65:[75, 64], Operations: ['91-77=14', '78-14=64'] Exploring Operation: 7564=4800, Resulting Numbers: [4800] 4800,65 unequal: No Solution Exploring Operation: 75-64=11, Resulting Numbers: [11] 11,65 unequal: No Solution Exploring Operation: 75+64=139, Resulting Numbers: [139] 139,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 65:[78, 61], Operations: ['91-77=14', '75-14=61'] Exploring Operation: 78-61=17, Resulting Numbers: [17] 17,65 unequal: No Solution Exploring Operation: 78+61=139, Resulting Numbers: [139] 139,65 unequal: No Solution Exploring Operation: 7861=4758, Resulting Numbers: [4758] 4758,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 65:[78, 89], Operations: ['91-77=14', '75+14=89'] Exploring Operation: 89-78=11, Resulting Numbers: [11] 11,65 unequal: No Solution Exploring Operation: 78+89=167, Resulting Numbers: [167] 167,65 unequal: No Solution Exploring Operation: 7889=6942, Resulting Numbers: [6942] 6942,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 65:[75, 92], Operations: ['91-77=14', '78+14=92'] Exploring Operation: 92-75=17, Resulting Numbers: [17] 17,65 unequal: No Solution Exploring Operation: 7592=6900, Resulting Numbers: [6900] 6900,65 unequal: No Solution Exploring Operation: 75+92=167, Resulting Numbers: [167] 167,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 65:[77, 78, 16], Operations: ['91-75=16'] Exploring Operation: 78-77=1, Resulting Numbers: [16, 1] Generated Node #0,3,0: 65:[16, 1] Operation: 78-77=1 Exploring Operation: 77+16=93, Resulting Numbers: [78, 93] Generated Node #0,3,1: 65:[78, 93] Operation: 77+16=93 Exploring Operation: 77-16=61, Resulting Numbers: [78, 61] Generated Node #0,3,2: 65:[78, 61] Operation: 77-16=61 Exploring Operation: 78-16=62, Resulting Numbers: [77, 62] Generated Node #0,3,3: 65:[77, 62] Operation: 78-16=62 Exploring Operation: 78+16=94, Resulting Numbers: [77, 94] Generated Node #0,3,4: 65:[77, 94] Operation: 78+16=94 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 65:[16, 1], Operations: ['91-75=16', '78-77=1'] Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,65 unequal: No Solution Exploring Operation: 16+1=17, Resulting Numbers: [17] 17,65 unequal: No Solution Exploring Operation: 16/1=16, Resulting Numbers: [16] 16,65 unequal: No Solution Exploring Operation: 161=16, Resulting Numbers: [16] 16,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 65:[77, 62], Operations: ['91-75=16', '78-16=62'] Exploring Operation: 77-62=15, Resulting Numbers: [15] 15,65 unequal: No Solution Exploring Operation: 7762=4774, Resulting Numbers: [4774] 4774,65 unequal: No Solution Exploring Operation: 77+62=139, Resulting Numbers: [139] 139,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 65:[78, 61], Operations: ['91-75=16', '77-16=61'] Exploring Operation: 78+61=139, Resulting Numbers: [139] 139,65 unequal: No Solution Exploring Operation: 7861=4758, Resulting Numbers: [4758] 4758,65 unequal: No Solution Exploring Operation: 78-61=17, Resulting Numbers: [17] 17,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 65:[78, 93], Operations: ['91-75=16', '77+16=93'] Exploring Operation: 93-78=15, Resulting Numbers: [15] 15,65 unequal: No Solution Exploring Operation: 78+93=171, Resulting Numbers: [171] 171,65 unequal: No Solution Exploring Operation: 7893=7254, Resulting Numbers: [7254] 7254,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 65:[77, 94], Operations: ['91-75=16', '78+16=94'] Exploring Operation: 94-77=17, Resulting Numbers: [17] 17,65 unequal: No Solution Exploring Operation: 7794=7238, Resulting Numbers: [7238] 7238,65 unequal: No Solution Exploring Operation: 77+94=171, Resulting Numbers: [171] 171,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 65:[77, 91, 3], Operations: ['78-75=3'] Exploring Operation: 77-3=74, Resulting Numbers: [91, 74] Generated Node #0,1,0: 65:[91, 74] Operation: 77-3=74 Exploring Operation: 77+3=80, Resulting Numbers: [91, 80] Generated Node #0,1,1: 65:[91, 80] Operation: 77+3=80 Exploring Operation: 91-3=88, Resulting Numbers: [77, 88] Generated Node #0,1,2: 65:[77, 88] Operation: 91-3=88 Exploring Operation: 91+3=94, Resulting Numbers: [77, 94] Generated Node #0,1,3: 65:[77, 94] Operation: 91+3=94 Exploring Operation: 91-77=14, Resulting Numbers: [3, 14] Generated Node #0,1,4: 65:[3, 14] Operation: 91-77=14 Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 65:[3, 14], Operations: ['78-75=3', '91-77=14'] Exploring Operation: 14-3=11, Resulting Numbers: [11] 11,65 unequal: No Solution Exploring Operation: 314=42, Resulting Numbers: [42] 42,65 unequal: No Solution Exploring Operation: 3+14=17, Resulting Numbers: [17] 17,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 65:[91, 74], Operations: ['78-75=3', '77-3=74'] Exploring Operation: 9174=6734, Resulting Numbers: [6734] 6734,65 unequal: No Solution Exploring Operation: 91+74=165, Resulting Numbers: [165] 165,65 unequal: No Solution Exploring Operation: 91-74=17, Resulting Numbers: [17] 17,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 65:[77, 88], Operations: ['78-75=3', '91-3=88'] Exploring Operation: 88-77=11, Resulting Numbers: [11] 11,65 unequal: No Solution Exploring Operation: 77+88=165, Resulting Numbers: [165] 165,65 unequal: No Solution Exploring Operation: 7788=6776, Resulting Numbers: [6776] 6776,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 65:[91, 80], Operations: ['78-75=3', '77+3=80'] Exploring Operation: 91-80=11, Resulting Numbers: [11] 11,65 unequal: No Solution Exploring Operation: 91+80=171, Resulting Numbers: [171] 171,65 unequal: No Solution Exploring Operation: 9180=7280, Resulting Numbers: [7280] 7280,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 65:[77, 94], Operations: ['78-75=3', '91+3=94'] Exploring Operation: 77+94=171, Resulting Numbers: [171] 171,65 unequal: No Solution Exploring Operation: 7794=7238, Resulting Numbers: [7238] 7238,65 unequal: No Solution Exploring Operation: 94-77=17, Resulting Numbers: [17] 17,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4 Current State: 65:[75, 91, 1], Operations: ['78-77=1'] Exploring Operation: 91-75=16, Resulting Numbers: [1, 16] Generated Node #0,4,0: 65:[1, 16] Operation: 91-75=16 Exploring Operation: 75/1=75, Resulting Numbers: [91, 75] Generated Node #0,4,1: 65:[91, 75] Operation: 75/1=75 Exploring Operation: 75-1=74, Resulting Numbers: [91, 74] Generated Node #0,4,2: 65:[91, 74] Operation: 75-1=74 Exploring Operation: 91-1=90, Resulting Numbers: [75, 90] Generated Node #0,4,3: 65:[75, 90] Operation: 91-1=90 Exploring Operation: 751=75, Resulting Numbers: [91, 75] Generated Node #0,4,4: 65:[91, 75] Operation: 751=75 Moving to Node #0,4,0 Current State: 65:[1, 16], Operations: ['78-77=1', '91-75=16'] Exploring Operation: 1+16=17, Resulting Numbers: [17] 17,65 unequal: No Solution Exploring Operation: 116=16, Resulting Numbers: [16] 16,65 unequal: No Solution Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,65 unequal: No Solution Exploring Operation: 16/1=16, Resulting Numbers: [16] 16,65 unequal: No Solution Moving to Node #0,4,3 Current State: 65:[75, 90], Operations: ['78-77=1', '91-1=90'] Exploring Operation: 7590=6750, Resulting Numbers: [6750] 6750,65 unequal: No Solution Exploring Operation: 75+90=165, Resulting Numbers: [165] 165,65 unequal: No Solution Exploring Operation: 90-75=15, Resulting Numbers: [15] 15,65 unequal: No Solution Moving to Node #0,4,2 Current State: 65:[91, 74], Operations: ['78-77=1', '75-1=74'] Exploring Operation: 91+74=165, Resulting Numbers: [165] 165,65 unequal: No Solution Exploring Operation: 9174=6734, Resulting Numbers: [6734] 6734,65 unequal: No Solution Exploring Operation: 91-74=17, Resulting Numbers: [17] 17,65 unequal: No Solution Moving to Node #0,4,1 Current State: 65:[91, 75], Operations: ['78-77=1', '75/1=75'] Exploring Operation: 91+75=166, Resulting Numbers: [166] 166,65 unequal: No Solution Exploring Operation: 9175=6825, Resulting Numbers: [6825] 6825,65 unequal: No Solution Exploring Operation: 91-75=16, Resulting Numbers: [16] 16,65 unequal: No Solution Moving to Node #0,4,4 Current State: 65:[91, 75], Operations: ['78-77=1', '751=75'] Exploring Operation: 91+75=166, Resulting Numbers: [166] 166,65 unequal: No Solution Exploring Operation: 9175=6825, Resulting Numbers: [6825] 6825,65 unequal: No Solution Exploring Operation: 91-75=16, Resulting Numbers: [16] 16,65 unequal: No Solution No solution found.	0	hs_5	mult_heuristic
[ 25, 39, 7, 30 ]	68	[ "39-25=14", "7*14=98", "98-30=68" ]	Current State: 68:[25, 39, 7, 30], Operations: [] Exploring Operation: 39-25=14, Resulting Numbers: [7, 30, 14] Generated Node #2: [7, 30, 14] from Operation: 39-25=14 Current State: 68:[7, 30, 14], Operations: ['39-25=14'] Exploring Operation: 714=98, Resulting Numbers: [30, 98] Generated Node #3: [30, 98] from Operation: 714=98 Current State: 68:[30, 98], Operations: ['39-25=14', '7*14=98'] Exploring Operation: 98-30=68, Resulting Numbers: [68] 68,68 equal: Goal Reached	4	Current State: 68:[25, 39, 7, 30], Operations: [] Exploring Operation: 39-25=14, Resulting Numbers: [7, 30, 14] Generated Node #0,0: 68:[7, 30, 14] Operation: 39-25=14 Exploring Operation: 30-25=5, Resulting Numbers: [39, 7, 5] Generated Node #0,1: 68:[39, 7, 5] Operation: 30-25=5 Exploring Operation: 25-7=18, Resulting Numbers: [39, 30, 18] Generated Node #0,2: 68:[39, 30, 18] Operation: 25-7=18 Start Sub Search at level 1: Moving to Node #0,1 Current State: 68:[39, 7, 5], Operations: ['30-25=5'] Exploring Operation: 39-7=32, Resulting Numbers: [5, 32] Generated Node #0,1,0: 68:[5, 32] Operation: 39-7=32 Exploring Operation: 7-5=2, Resulting Numbers: [39, 2] Generated Node #0,1,1: 68:[39, 2] Operation: 7-5=2 Exploring Operation: 39-5=34, Resulting Numbers: [7, 34] Generated Node #0,1,2: 68:[7, 34] Operation: 39-5=34 Moving to Node #0,1,0 Current State: 68:[5, 32], Operations: ['30-25=5', '39-7=32'] Exploring Operation: 32-5=27, Resulting Numbers: [27] 27,68 unequal: No Solution Exploring Operation: 532=160, Resulting Numbers: [160] 160,68 unequal: No Solution Exploring Operation: 5+32=37, Resulting Numbers: [37] 37,68 unequal: No Solution Moving to Node #0,1,2 Current State: 68:[7, 34], Operations: ['30-25=5', '39-5=34'] Exploring Operation: 7+34=41, Resulting Numbers: [41] 41,68 unequal: No Solution Exploring Operation: 734=238, Resulting Numbers: [238] 238,68 unequal: No Solution Exploring Operation: 34-7=27, Resulting Numbers: [27] 27,68 unequal: No Solution Moving to Node #0,1,1 Current State: 68:[39, 2], Operations: ['30-25=5', '7-5=2'] Exploring Operation: 39-2=37, Resulting Numbers: [37] 37,68 unequal: No Solution Exploring Operation: 39+2=41, Resulting Numbers: [41] 41,68 unequal: No Solution Exploring Operation: 392=78, Resulting Numbers: [78] 78,68 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 68:[7, 30, 14], Operations: ['39-25=14'] Exploring Operation: 30-14=16, Resulting Numbers: [7, 16] Generated Node #0,0,0: 68:[7, 16] Operation: 30-14=16 Exploring Operation: 14/7=2, Resulting Numbers: [30, 2] Generated Node #0,0,1: 68:[30, 2] Operation: 14/7=2 Exploring Operation: 7+30=37, Resulting Numbers: [14, 37] Generated Node #0,0,2: 68:[14, 37] Operation: 7+30=37 Moving to Node #0,0,0 Current State: 68:[7, 16], Operations: ['39-25=14', '30-14=16'] Exploring Operation: 7+16=23, Resulting Numbers: [23] 23,68 unequal: No Solution Exploring Operation: 716=112, Resulting Numbers: [112] 112,68 unequal: No Solution Exploring Operation: 16-7=9, Resulting Numbers: [9] 9,68 unequal: No Solution Moving to Node #0,0,1 Current State: 68:[30, 2], Operations: ['39-25=14', '14/7=2'] Exploring Operation: 30-2=28, Resulting Numbers: [28] 28,68 unequal: No Solution Exploring Operation: 30+2=32, Resulting Numbers: [32] 32,68 unequal: No Solution Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,68 unequal: No Solution Moving to Node #0,0,2 Current State: 68:[14, 37], Operations: ['39-25=14', '7+30=37'] Exploring Operation: 37-14=23, Resulting Numbers: [23] 23,68 unequal: No Solution Exploring Operation: 14+37=51, Resulting Numbers: [51] 51,68 unequal: No Solution Exploring Operation: 1437=518, Resulting Numbers: [518] 518,68 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 68:[39, 30, 18], Operations: ['25-7=18'] Exploring Operation: 39-18=21, Resulting Numbers: [30, 21] Generated Node #0,2,0: 68:[30, 21] Operation: 39-18=21 Exploring Operation: 39+30=69, Resulting Numbers: [18, 69] Generated Node #0,2,1: 68:[18, 69] Operation: 39+30=69 Exploring Operation: 39-30=9, Resulting Numbers: [18, 9] Generated Node #0,2,2: 68:[18, 9] Operation: 39-30=9 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 68:[18, 69], Operations: ['25-7=18', '39+30=69'] Exploring Operation: 69-18=51, Resulting Numbers: [51] 51,68 unequal: No Solution Exploring Operation: 1869=1242, Resulting Numbers: [1242] 1242,68 unequal: No Solution Exploring Operation: 18+69=87, Resulting Numbers: [87] 87,68 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 68:[18, 9], Operations: ['25-7=18', '39-30=9'] Exploring Operation: 18-9=9, Resulting Numbers: [9] 9,68 unequal: No Solution Exploring Operation: 18+9=27, Resulting Numbers: [27] 27,68 unequal: No Solution Exploring Operation: 18/9=2, Resulting Numbers: [2] 2,68 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 68:[30, 21], Operations: ['25-7=18', '39-18=21'] Exploring Operation: 30*21=630, Resulting Numbers: [630] 630,68 unequal: No Solution Exploring Operation: 30-21=9, Resulting Numbers: [9] 9,68 unequal: No Solution Exploring Operation: 30+21=51, Resulting Numbers: [51] 51,68 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_3	sum_heuristic
[ 15, 80, 93, 42 ]	70	[ "80-15=65", "93+42=135", "135-65=70" ]	Current State: 70:[15, 80, 93, 42], Operations: [] Exploring Operation: 80-15=65, Resulting Numbers: [93, 42, 65] Generated Node #2: [93, 42, 65] from Operation: 80-15=65 Current State: 70:[93, 42, 65], Operations: ['80-15=65'] Exploring Operation: 93+42=135, Resulting Numbers: [65, 135] Generated Node #3: [65, 135] from Operation: 93+42=135 Current State: 70:[65, 135], Operations: ['80-15=65', '93+42=135'] Exploring Operation: 135-65=70, Resulting Numbers: [70] 70,70 equal: Goal Reached	4	Current State: 70:[15, 80, 93, 42], Operations: [] Exploring Operation: 93-80=13, Resulting Numbers: [15, 42, 13] Generated Node #0,0: 70:[15, 42, 13] Operation: 93-80=13 Exploring Operation: 93-15=78, Resulting Numbers: [80, 42, 78] Generated Node #0,1: 70:[80, 42, 78] Operation: 93-15=78 Moving to Node #0,0 Current State: 70:[15, 42, 13], Operations: ['93-80=13'] Exploring Operation: 42-13=29, Resulting Numbers: [15, 29] Generated Node #0,0,0: 70:[15, 29] Operation: 42-13=29 Exploring Operation: 15-13=2, Resulting Numbers: [42, 2] Generated Node #0,0,1: 70:[42, 2] Operation: 15-13=2 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 70:[15, 29], Operations: ['93-80=13', '42-13=29'] Exploring Operation: 29-15=14, Resulting Numbers: [14] 14,70 unequal: No Solution Exploring Operation: 15+29=44, Resulting Numbers: [44] 44,70 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 70:[42, 2], Operations: ['93-80=13', '15-13=2'] Exploring Operation: 42-2=40, Resulting Numbers: [40] 40,70 unequal: No Solution Exploring Operation: 42/2=21, Resulting Numbers: [21] 21,70 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 70:[80, 42, 78], Operations: ['93-15=78'] Exploring Operation: 80-42=38, Resulting Numbers: [78, 38] Generated Node #0,1,0: 70:[78, 38] Operation: 80-42=38 Exploring Operation: 80-78=2, Resulting Numbers: [42, 2] Generated Node #0,1,1: 70:[42, 2] Operation: 80-78=2 Moving to Node #0,1,1 Current State: 70:[42, 2], Operations: ['93-15=78', '80-78=2'] Exploring Operation: 42-2=40, Resulting Numbers: [40] 40,70 unequal: No Solution Exploring Operation: 42/2=21, Resulting Numbers: [21] 21,70 unequal: No Solution Moving to Node #0,1,0 Current State: 70:[78, 38], Operations: ['93-15=78', '80-42=38'] Exploring Operation: 78+38=116, Resulting Numbers: [116] 116,70 unequal: No Solution Exploring Operation: 78-38=40, Resulting Numbers: [40] 40,70 unequal: No Solution No solution found.	0	hs_2	mult_heuristic
[ 1, 62, 21, 44 ]	47	[ "1+62=63", "63/21=3", "44+3=47" ]	Current State: 47:[1, 62, 21, 44], Operations: [] Exploring Operation: 1+62=63, Resulting Numbers: [21, 44, 63] Generated Node #2: [21, 44, 63] from Operation: 1+62=63 Current State: 47:[21, 44, 63], Operations: ['1+62=63'] Exploring Operation: 63/21=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 63/21=3 Current State: 47:[44, 3], Operations: ['1+62=63', '63/21=3'] Exploring Operation: 44+3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached	4	Current State: 47:[1, 62, 21, 44], Operations: [] Exploring Operation: 62-1=61, Resulting Numbers: [21, 44, 61] Generated Node #0,0: 47:[21, 44, 61] Operation: 62-1=61 Start Sub Search at level 1: Moving to Node #0,0 Current State: 47:[21, 44, 61], Operations: ['62-1=61'] Exploring Operation: 61-21=40, Resulting Numbers: [44, 40] Generated Node #0,0,0: 47:[44, 40] Operation: 61-21=40 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 47:[44, 40], Operations: ['62-1=61', '61-21=40'] Exploring Operation: 44+40=84, Resulting Numbers: [84] 84,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 38, 23, 50, 90 ]	46	[ "38+50=88", "90-88=2", "23*2=46" ]	Current State: 46:[38, 23, 50, 90], Operations: [] Exploring Operation: 38+50=88, Resulting Numbers: [23, 90, 88] Generated Node #2: [23, 90, 88] from Operation: 38+50=88 Current State: 46:[23, 90, 88], Operations: ['38+50=88'] Exploring Operation: 90-88=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 90-88=2 Current State: 46:[23, 2], Operations: ['38+50=88', '90-88=2'] Exploring Operation: 23*2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached	4	Current State: 46:[38, 23, 50, 90], Operations: [] Exploring Operation: 90-50=40, Resulting Numbers: [38, 23, 40] Generated Node #0,0: 46:[38, 23, 40] Operation: 90-50=40 Exploring Operation: 90-38=52, Resulting Numbers: [23, 50, 52] Generated Node #0,1: 46:[23, 50, 52] Operation: 90-38=52 Exploring Operation: 90-23=67, Resulting Numbers: [38, 50, 67] Generated Node #0,2: 46:[38, 50, 67] Operation: 90-23=67 Exploring Operation: 50-38=12, Resulting Numbers: [23, 90, 12] Generated Node #0,3: 46:[23, 90, 12] Operation: 50-38=12 Moving to Node #0,1 Current State: 46:[23, 50, 52], Operations: ['90-38=52'] Exploring Operation: 52-50=2, Resulting Numbers: [23, 2] Generated Node #0,1,0: 46:[23, 2] Operation: 52-50=2 Exploring Operation: 52-23=29, Resulting Numbers: [50, 29] Generated Node #0,1,1: 46:[50, 29] Operation: 52-23=29 Exploring Operation: 50-23=27, Resulting Numbers: [52, 27] Generated Node #0,1,2: 46:[52, 27] Operation: 50-23=27 Exploring Operation: 23+50=73, Resulting Numbers: [52, 73] Generated Node #0,1,3: 46:[52, 73] Operation: 23+50=73 Moving to Node #0,0 Current State: 46:[38, 23, 40], Operations: ['90-50=40'] Exploring Operation: 40-38=2, Resulting Numbers: [23, 2] Generated Node #0,0,0: 46:[23, 2] Operation: 40-38=2 Exploring Operation: 40-23=17, Resulting Numbers: [38, 17] Generated Node #0,0,1: 46:[38, 17] Operation: 40-23=17 Exploring Operation: 38-23=15, Resulting Numbers: [40, 15] Generated Node #0,0,2: 46:[40, 15] Operation: 38-23=15 Exploring Operation: 38+23=61, Resulting Numbers: [40, 61] Generated Node #0,0,3: 46:[40, 61] Operation: 38+23=61 Moving to Node #0,2 Current State: 46:[38, 50, 67], Operations: ['90-23=67'] Exploring Operation: 50-38=12, Resulting Numbers: [67, 12] Generated Node #0,2,0: 46:[67, 12] Operation: 50-38=12 Exploring Operation: 67-38=29, Resulting Numbers: [50, 29] Generated Node #0,2,1: 46:[50, 29] Operation: 67-38=29 Exploring Operation: 67-50=17, Resulting Numbers: [38, 17] Generated Node #0,2,2: 46:[38, 17] Operation: 67-50=17 Exploring Operation: 38+50=88, Resulting Numbers: [67, 88] Generated Node #0,2,3: 46:[67, 88] Operation: 38+50=88 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 46:[50, 29], Operations: ['90-23=67', '67-38=29'] Exploring Operation: 50-29=21, Resulting Numbers: [21] 21,46 unequal: No Solution Exploring Operation: 50+29=79, Resulting Numbers: [79] 79,46 unequal: No Solution Exploring Operation: 5029=1450, Resulting Numbers: [1450] 1450,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 46:[38, 17], Operations: ['90-23=67', '67-50=17'] Exploring Operation: 38+17=55, Resulting Numbers: [55] 55,46 unequal: No Solution Exploring Operation: 38-17=21, Resulting Numbers: [21] 21,46 unequal: No Solution Exploring Operation: 3817=646, Resulting Numbers: [646] 646,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 46:[67, 12], Operations: ['90-23=67', '50-38=12'] Exploring Operation: 67+12=79, Resulting Numbers: [79] 79,46 unequal: No Solution Exploring Operation: 67-12=55, Resulting Numbers: [55] 55,46 unequal: No Solution Exploring Operation: 6712=804, Resulting Numbers: [804] 804,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 46:[67, 88], Operations: ['90-23=67', '38+50=88'] Exploring Operation: 6788=5896, Resulting Numbers: [5896] 5896,46 unequal: No Solution Exploring Operation: 88-67=21, Resulting Numbers: [21] 21,46 unequal: No Solution Exploring Operation: 67+88=155, Resulting Numbers: [155] 155,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 46:[23, 90, 12], Operations: ['50-38=12'] Exploring Operation: 90-12=78, Resulting Numbers: [23, 78] Generated Node #0,3,0: 46:[23, 78] Operation: 90-12=78 Exploring Operation: 23-12=11, Resulting Numbers: [90, 11] Generated Node #0,3,1: 46:[90, 11] Operation: 23-12=11 Exploring Operation: 90-23=67, Resulting Numbers: [12, 67] Generated Node #0,3,2: 46:[12, 67] Operation: 90-23=67 Exploring Operation: 23+12=35, Resulting Numbers: [90, 35] Generated Node #0,3,3: 46:[90, 35] Operation: 23+12=35 Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 46:[12, 67], Operations: ['50-38=12', '90-23=67'] Exploring Operation: 12+67=79, Resulting Numbers: [79] 79,46 unequal: No Solution Exploring Operation: 1267=804, Resulting Numbers: [804] 804,46 unequal: No Solution Exploring Operation: 67-12=55, Resulting Numbers: [55] 55,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 46:[23, 78], Operations: ['50-38=12', '90-12=78'] Exploring Operation: 2378=1794, Resulting Numbers: [1794] 1794,46 unequal: No Solution Exploring Operation: 23+78=101, Resulting Numbers: [101] 101,46 unequal: No Solution Exploring Operation: 78-23=55, Resulting Numbers: [55] 55,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 46:[90, 11], Operations: ['50-38=12', '23-12=11'] Exploring Operation: 9011=990, Resulting Numbers: [990] 990,46 unequal: No Solution Exploring Operation: 90-11=79, Resulting Numbers: [79] 79,46 unequal: No Solution Exploring Operation: 90+11=101, Resulting Numbers: [101] 101,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 46:[90, 35], Operations: ['50-38=12', '23+12=35'] Exploring Operation: 9035=3150, Resulting Numbers: [3150] 3150,46 unequal: No Solution Exploring Operation: 90-35=55, Resulting Numbers: [55] 55,46 unequal: No Solution Exploring Operation: 90+35=125, Resulting Numbers: [125] 125,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,0 Current State: 46:[23, 2], Operations: ['90-38=52', '52-50=2'] Exploring Operation: 232=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Moving to Node #0 Current State: 46:[38, 23, 50, 90], Operations: [] Exploring Operation: 90-38=52, Resulting Numbers: [23, 50, 52] Generated Node #0,1: 46:[23, 50, 52] Operation: 90-38=52 Moving to Node #0,1 Current State: 46:[23, 50, 52], Operations: ['90-38=52'] Exploring Operation: 52-50=2, Resulting Numbers: [23, 2] Generated Node #0,1,0: 46:[23, 2] Operation: 52-50=2 Moving to Node #0,1,0 Current State: 46:[23, 2], Operations: ['90-38=52', '52-50=2'] Exploring Operation: 232=46, Resulting Numbers: [46] 46,46 equal: Goal Reached	0.957465	hs_4	sum_heuristic
[ 57, 3, 75, 78 ]	99	[ "57-3=54", "75+78=153", "153-54=99" ]	Current State: 99:[57, 3, 75, 78], Operations: [] Exploring Operation: 57-3=54, Resulting Numbers: [75, 78, 54] Generated Node #2: [75, 78, 54] from Operation: 57-3=54 Current State: 99:[75, 78, 54], Operations: ['57-3=54'] Exploring Operation: 75+78=153, Resulting Numbers: [54, 153] Generated Node #3: [54, 153] from Operation: 75+78=153 Current State: 99:[54, 153], Operations: ['57-3=54', '75+78=153'] Exploring Operation: 153-54=99, Resulting Numbers: [99] 99,99 equal: Goal Reached	4	Current State: 99:[57, 3, 75, 78], Operations: [] Exploring Operation: 75-57=18, Resulting Numbers: [3, 78, 18] Generated Node #0,0: 99:[3, 78, 18] Operation: 75-57=18 Exploring Operation: 57/3=19, Resulting Numbers: [75, 78, 19] Generated Node #0,1: 99:[75, 78, 19] Operation: 57/3=19 Exploring Operation: 78-75=3, Resulting Numbers: [57, 3, 3] Generated Node #0,2: 99:[57, 3, 3] Operation: 78-75=3 Exploring Operation: 78-57=21, Resulting Numbers: [3, 75, 21] Generated Node #0,3: 99:[3, 75, 21] Operation: 78-57=21 Start Sub Search at level 1: Moving to Node #0,2 Current State: 99:[57, 3, 3], Operations: ['78-75=3'] Exploring Operation: 57-3=54, Resulting Numbers: [3, 54] Generated Node #0,2,0: 99:[3, 54] Operation: 57-3=54 Exploring Operation: 57-3=54, Resulting Numbers: [3, 54] Generated Node #0,2,1: 99:[3, 54] Operation: 57-3=54 Exploring Operation: 57/3=19, Resulting Numbers: [3, 19] Generated Node #0,2,2: 99:[3, 19] Operation: 57/3=19 Exploring Operation: 57/3=19, Resulting Numbers: [3, 19] Generated Node #0,2,3: 99:[3, 19] Operation: 57/3=19 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 99:[3, 19], Operations: ['78-75=3', '57/3=19'] Exploring Operation: 3+19=22, Resulting Numbers: [22] 22,99 unequal: No Solution Exploring Operation: 19-3=16, Resulting Numbers: [16] 16,99 unequal: No Solution Exploring Operation: 319=57, Resulting Numbers: [57] 57,99 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 99:[3, 19], Operations: ['78-75=3', '57/3=19'] Exploring Operation: 3+19=22, Resulting Numbers: [22] 22,99 unequal: No Solution Exploring Operation: 319=57, Resulting Numbers: [57] 57,99 unequal: No Solution Exploring Operation: 19-3=16, Resulting Numbers: [16] 16,99 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 99:[3, 54], Operations: ['78-75=3', '57-3=54'] Exploring Operation: 3+54=57, Resulting Numbers: [57] 57,99 unequal: No Solution Exploring Operation: 54-3=51, Resulting Numbers: [51] 51,99 unequal: No Solution Exploring Operation: 354=162, Resulting Numbers: [162] 162,99 unequal: No Solution Exploring Operation: 54/3=18, Resulting Numbers: [18] 18,99 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 99:[3, 54], Operations: ['78-75=3', '57-3=54'] Exploring Operation: 3+54=57, Resulting Numbers: [57] 57,99 unequal: No Solution Exploring Operation: 354=162, Resulting Numbers: [162] 162,99 unequal: No Solution Exploring Operation: 54-3=51, Resulting Numbers: [51] 51,99 unequal: No Solution Exploring Operation: 54/3=18, Resulting Numbers: [18] 18,99 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 99:[3, 78, 18], Operations: ['75-57=18'] Exploring Operation: 78/3=26, Resulting Numbers: [18, 26] Generated Node #0,0,0: 99:[18, 26] Operation: 78/3=26 Exploring Operation: 18/3=6, Resulting Numbers: [78, 6] Generated Node #0,0,1: 99:[78, 6] Operation: 18/3=6 Exploring Operation: 78+18=96, Resulting Numbers: [3, 96] Generated Node #0,0,2: 99:[3, 96] Operation: 78+18=96 Exploring Operation: 3+78=81, Resulting Numbers: [18, 81] Generated Node #0,0,3: 99:[18, 81] Operation: 3+78=81 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 99:[3, 96], Operations: ['75-57=18', '78+18=96'] Exploring Operation: 3*96=288, Resulting Numbers: [288] 288,99 unequal: No Solution Exploring Operation: 96-3=93, Resulting Numbers: [93] 93,99 unequal: No Solution Exploring Operation: 96/3=32, Resulting Numbers: [32] 32,99 unequal: No Solution Exploring Operation: 3+96=99, Resulting Numbers: [99] 99,99 equal: Goal Reached Moving to Node #0 Current State: 99:[57, 3, 75, 78], Operations: [] Exploring Operation: 75-57=18, Resulting Numbers: [3, 78, 18] Generated Node #0,0: 99:[3, 78, 18] Operation: 75-57=18 Moving to Node #0,0 Current State: 99:[3, 78, 18], Operations: ['75-57=18'] Exploring Operation: 78+18=96, Resulting Numbers: [3, 96] Generated Node #0,0,2: 99:[3, 96] Operation: 78+18=96 Moving to Node #0,0,2 Current State: 99:[3, 96], Operations: ['75-57=18', '78+18=96'] Exploring Operation: 3+96=99, Resulting Numbers: [99] 99,99 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.970486	hs_4	sum_heuristic
[ 74, 35, 92, 59 ]	72	[ "74-35=39", "92-59=33", "39+33=72" ]	Current State: 72:[74, 35, 92, 59], Operations: [] Exploring Operation: 74-35=39, Resulting Numbers: [92, 59, 39] Generated Node #2: [92, 59, 39] from Operation: 74-35=39 Current State: 72:[92, 59, 39], Operations: ['74-35=39'] Exploring Operation: 92-59=33, Resulting Numbers: [39, 33] Generated Node #3: [39, 33] from Operation: 92-59=33 Current State: 72:[39, 33], Operations: ['74-35=39', '92-59=33'] Exploring Operation: 39+33=72, Resulting Numbers: [72] 72,72 equal: Goal Reached	4	Current State: 72:[74, 35, 92, 59], Operations: [] Exploring Operation: 92-74=18, Resulting Numbers: [35, 59, 18] Generated Node #0,0: 72:[35, 59, 18] Operation: 92-74=18 Exploring Operation: 92-59=33, Resulting Numbers: [74, 35, 33] Generated Node #0,1: 72:[74, 35, 33] Operation: 92-59=33 Exploring Operation: 74-59=15, Resulting Numbers: [35, 92, 15] Generated Node #0,2: 72:[35, 92, 15] Operation: 74-59=15 Exploring Operation: 92-35=57, Resulting Numbers: [74, 59, 57] Generated Node #0,3: 72:[74, 59, 57] Operation: 92-35=57 Exploring Operation: 59-35=24, Resulting Numbers: [74, 92, 24] Generated Node #0,4: 72:[74, 92, 24] Operation: 59-35=24 Start Sub Search at level 1: Moving to Node #0,1 Current State: 72:[74, 35, 33], Operations: ['92-59=33'] Exploring Operation: 74-33=41, Resulting Numbers: [35, 41] Generated Node #0,1,0: 72:[35, 41] Operation: 74-33=41 Exploring Operation: 35+33=68, Resulting Numbers: [74, 68] Generated Node #0,1,1: 72:[74, 68] Operation: 35+33=68 Exploring Operation: 74+33=107, Resulting Numbers: [35, 107] Generated Node #0,1,2: 72:[35, 107] Operation: 74+33=107 Exploring Operation: 74-35=39, Resulting Numbers: [33, 39] Generated Node #0,1,3: 72:[33, 39] Operation: 74-35=39 Exploring Operation: 35-33=2, Resulting Numbers: [74, 2] Generated Node #0,1,4: 72:[74, 2] Operation: 35-33=2 Moving to Node #0,1,4 Current State: 72:[74, 2], Operations: ['92-59=33', '35-33=2'] Exploring Operation: 74+2=76, Resulting Numbers: [76] 76,72 unequal: No Solution Exploring Operation: 74-2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached Moving to Node #0 Current State: 72:[74, 35, 92, 59], Operations: [] Exploring Operation: 92-59=33, Resulting Numbers: [74, 35, 33] Generated Node #0,1: 72:[74, 35, 33] Operation: 92-59=33 Moving to Node #0,1 Current State: 72:[74, 35, 33], Operations: ['92-59=33'] Exploring Operation: 35-33=2, Resulting Numbers: [74, 2] Generated Node #0,1,4: 72:[74, 2] Operation: 35-33=2 Moving to Node #0,1,4 Current State: 72:[74, 2], Operations: ['92-59=33', '35-33=2'] Exploring Operation: 74-2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached Exit Sub Search at level 1	0.986111	hs_5	sum_heuristic
[ 8, 52, 82, 22 ]	64	[ "82-52=30", "30-22=8", "8*8=64" ]	Current State: 64:[8, 52, 82, 22], Operations: [] Exploring Operation: 82-52=30, Resulting Numbers: [8, 22, 30] Generated Node #2: [8, 22, 30] from Operation: 82-52=30 Current State: 64:[8, 22, 30], Operations: ['82-52=30'] Exploring Operation: 30-22=8, Resulting Numbers: [8, 8] Generated Node #3: [8, 8] from Operation: 30-22=8 Current State: 64:[8, 8], Operations: ['82-52=30', '30-22=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached	4	Current State: 64:[8, 52, 82, 22], Operations: [] Exploring Operation: 82-52=30, Resulting Numbers: [8, 22, 30] Generated Node #0,0: 64:[8, 22, 30] Operation: 82-52=30 Start Sub Search at level 1: Moving to Node #0,0 Current State: 64:[8, 22, 30], Operations: ['82-52=30'] Exploring Operation: 30-22=8, Resulting Numbers: [8, 8] Generated Node #0,0,0: 64:[8, 8] Operation: 30-22=8 Moving to Node #0,0,0 Current State: 64:[8, 8], Operations: ['82-52=30', '30-22=8'] Exploring Operation: 8+8=16, Resulting Numbers: [16] 16,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 73, 71, 2, 6 ]	36	[ "73+71=144", "6-2=4", "144/4=36" ]	Current State: 36:[73, 71, 2, 6], Operations: [] Exploring Operation: 73+71=144, Resulting Numbers: [2, 6, 144] Generated Node #2: [2, 6, 144] from Operation: 73+71=144 Current State: 36:[2, 6, 144], Operations: ['73+71=144'] Exploring Operation: 6-2=4, Resulting Numbers: [144, 4] Generated Node #3: [144, 4] from Operation: 6-2=4 Current State: 36:[144, 4], Operations: ['73+71=144', '6-2=4'] Exploring Operation: 144/4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached	4	Current State: 36:[73, 71, 2, 6], Operations: [] Exploring Operation: 71-6=65, Resulting Numbers: [73, 2, 65] Generated Node #0,0: 36:[73, 2, 65] Operation: 71-6=65 Exploring Operation: 73-6=67, Resulting Numbers: [71, 2, 67] Generated Node #0,1: 36:[71, 2, 67] Operation: 73-6=67 Exploring Operation: 73-71=2, Resulting Numbers: [2, 6, 2] Generated Node #0,2: 36:[2, 6, 2] Operation: 73-71=2 Start Sub Search at level 1: Moving to Node #0,2 Current State: 36:[2, 6, 2], Operations: ['73-71=2'] Exploring Operation: 26=12, Resulting Numbers: [2, 12] Generated Node #0,2,0: 36:[2, 12] Operation: 26=12 Exploring Operation: 6-2=4, Resulting Numbers: [2, 4] Generated Node #0,2,1: 36:[2, 4] Operation: 6-2=4 Exploring Operation: 6/2=3, Resulting Numbers: [2, 3] Generated Node #0,2,2: 36:[2, 3] Operation: 6/2=3 Moving to Node #0,2,0 Current State: 36:[2, 12], Operations: ['73-71=2', '26=12'] Exploring Operation: 12-2=10, Resulting Numbers: [10] 10,36 unequal: No Solution Exploring Operation: 2+12=14, Resulting Numbers: [14] 14,36 unequal: No Solution Exploring Operation: 12/2=6, Resulting Numbers: [6] 6,36 unequal: No Solution Moving to Node #0,2,1 Current State: 36:[2, 4], Operations: ['73-71=2', '6-2=4'] Exploring Operation: 4-2=2, Resulting Numbers: [2] 2,36 unequal: No Solution Exploring Operation: 2+4=6, Resulting Numbers: [6] 6,36 unequal: No Solution Exploring Operation: 4/2=2, Resulting Numbers: [2] 2,36 unequal: No Solution Moving to Node #0,2,2 Current State: 36:[2, 3], Operations: ['73-71=2', '6/2=3'] Exploring Operation: 3-2=1, Resulting Numbers: [1] 1,36 unequal: No Solution Exploring Operation: 2+3=5, Resulting Numbers: [5] 5,36 unequal: No Solution Exploring Operation: 23=6, Resulting Numbers: [6] 6,36 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 36:[73, 2, 65], Operations: ['71-6=65'] Exploring Operation: 73-2=71, Resulting Numbers: [65, 71] Generated Node #0,0,0: 36:[65, 71] Operation: 73-2=71 Exploring Operation: 65-2=63, Resulting Numbers: [73, 63] Generated Node #0,0,1: 36:[73, 63] Operation: 65-2=63 Exploring Operation: 73-65=8, Resulting Numbers: [2, 8] Generated Node #0,0,2: 36:[2, 8] Operation: 73-65=8 Moving to Node #0,0,2 Current State: 36:[2, 8], Operations: ['71-6=65', '73-65=8'] Exploring Operation: 2+8=10, Resulting Numbers: [10] 10,36 unequal: No Solution Exploring Operation: 8-2=6, Resulting Numbers: [6] 6,36 unequal: No Solution Exploring Operation: 8/2=4, Resulting Numbers: [4] 4,36 unequal: No Solution Moving to Node #0,0,0 Current State: 36:[65, 71], Operations: ['71-6=65', '73-2=71'] Exploring Operation: 71-65=6, Resulting Numbers: [6] 6,36 unequal: No Solution Exploring Operation: 65+71=136, Resulting Numbers: [136] 136,36 unequal: No Solution Exploring Operation: 6571=4615, Resulting Numbers: [4615] 4615,36 unequal: No Solution Moving to Node #0,0,1 Current State: 36:[73, 63], Operations: ['71-6=65', '65-2=63'] Exploring Operation: 7363=4599, Resulting Numbers: [4599] 4599,36 unequal: No Solution Exploring Operation: 73-63=10, Resulting Numbers: [10] 10,36 unequal: No Solution Exploring Operation: 73+63=136, Resulting Numbers: [136] 136,36 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 36:[71, 2, 67], Operations: ['73-6=67'] Exploring Operation: 71-2=69, Resulting Numbers: [67, 69] Generated Node #0,1,0: 36:[67, 69] Operation: 71-2=69 Exploring Operation: 71-67=4, Resulting Numbers: [2, 4] Generated Node #0,1,1: 36:[2, 4] Operation: 71-67=4 Exploring Operation: 67-2=65, Resulting Numbers: [71, 65] Generated Node #0,1,2: 36:[71, 65] Operation: 67-2=65 Moving to Node #0,1,1 Current State: 36:[2, 4], Operations: ['73-6=67', '71-67=4'] Exploring Operation: 2+4=6, Resulting Numbers: [6] 6,36 unequal: No Solution Exploring Operation: 4-2=2, Resulting Numbers: [2] 2,36 unequal: No Solution Exploring Operation: 4/2=2, Resulting Numbers: [2] 2,36 unequal: No Solution Moving to Node #0,1,0 Current State: 36:[67, 69], Operations: ['73-6=67', '71-2=69'] Exploring Operation: 69-67=2, Resulting Numbers: [2] 2,36 unequal: No Solution Exploring Operation: 6769=4623, Resulting Numbers: [4623] 4623,36 unequal: No Solution Exploring Operation: 67+69=136, Resulting Numbers: [136] 136,36 unequal: No Solution Moving to Node #0,1,2 Current State: 36:[71, 65], Operations: ['73-6=67', '67-2=65'] Exploring Operation: 71-65=6, Resulting Numbers: [6] 6,36 unequal: No Solution Exploring Operation: 7165=4615, Resulting Numbers: [4615] 4615,36 unequal: No Solution Exploring Operation: 71+65=136, Resulting Numbers: [136] 136,36 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_3	mult_heuristic
[ 70, 60, 12, 36 ]	35	[ "70*12=840", "60-36=24", "840/24=35" ]	Current State: 35:[70, 60, 12, 36], Operations: [] Exploring Operation: 7012=840, Resulting Numbers: [60, 36, 840] Generated Node #2: [60, 36, 840] from Operation: 7012=840 Current State: 35:[60, 36, 840], Operations: ['7012=840'] Exploring Operation: 60-36=24, Resulting Numbers: [840, 24] Generated Node #3: [840, 24] from Operation: 60-36=24 Current State: 35:[840, 24], Operations: ['7012=840', '60-36=24'] Exploring Operation: 840/24=35, Resulting Numbers: [35] 35,35 equal: Goal Reached	4	Current State: 35:[70, 60, 12, 36], Operations: [] Exploring Operation: 60/12=5, Resulting Numbers: [70, 36, 5] Generated Node #0,0: 35:[70, 36, 5] Operation: 60/12=5 Exploring Operation: 70-60=10, Resulting Numbers: [12, 36, 10] Generated Node #0,1: 35:[12, 36, 10] Operation: 70-60=10 Exploring Operation: 70-36=34, Resulting Numbers: [60, 12, 34] Generated Node #0,2: 35:[60, 12, 34] Operation: 70-36=34 Moving to Node #0,1 Current State: 35:[12, 36, 10], Operations: ['70-60=10'] Exploring Operation: 12-10=2, Resulting Numbers: [36, 2] Generated Node #0,1,0: 35:[36, 2] Operation: 12-10=2 Exploring Operation: 36-12=24, Resulting Numbers: [10, 24] Generated Node #0,1,1: 35:[10, 24] Operation: 36-12=24 Exploring Operation: 36/12=3, Resulting Numbers: [10, 3] Generated Node #0,1,2: 35:[10, 3] Operation: 36/12=3 Moving to Node #0,2 Current State: 35:[60, 12, 34], Operations: ['70-36=34'] Exploring Operation: 60-12=48, Resulting Numbers: [34, 48] Generated Node #0,2,0: 35:[34, 48] Operation: 60-12=48 Exploring Operation: 60-34=26, Resulting Numbers: [12, 26] Generated Node #0,2,1: 35:[12, 26] Operation: 60-34=26 Exploring Operation: 60/12=5, Resulting Numbers: [34, 5] Generated Node #0,2,2: 35:[34, 5] Operation: 60/12=5 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 35:[34, 5], Operations: ['70-36=34', '60/12=5'] Exploring Operation: 345=170, Resulting Numbers: [170] 170,35 unequal: No Solution Exploring Operation: 34-5=29, Resulting Numbers: [29] 29,35 unequal: No Solution Exploring Operation: 34+5=39, Resulting Numbers: [39] 39,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 35:[34, 48], Operations: ['70-36=34', '60-12=48'] Exploring Operation: 48-34=14, Resulting Numbers: [14] 14,35 unequal: No Solution Exploring Operation: 3448=1632, Resulting Numbers: [1632] 1632,35 unequal: No Solution Exploring Operation: 34+48=82, Resulting Numbers: [82] 82,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 35:[12, 26], Operations: ['70-36=34', '60-34=26'] Exploring Operation: 26-12=14, Resulting Numbers: [14] 14,35 unequal: No Solution Exploring Operation: 12+26=38, Resulting Numbers: [38] 38,35 unequal: No Solution Exploring Operation: 1226=312, Resulting Numbers: [312] 312,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 35:[70, 36, 5], Operations: ['60/12=5'] Exploring Operation: 70-36=34, Resulting Numbers: [5, 34] Generated Node #0,0,0: 35:[5, 34] Operation: 70-36=34 Exploring Operation: 70-5=65, Resulting Numbers: [36, 65] Generated Node #0,0,1: 35:[36, 65] Operation: 70-5=65 Exploring Operation: 70/5=14, Resulting Numbers: [36, 14] Generated Node #0,0,2: 35:[36, 14] Operation: 70/5=14 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 35:[5, 34], Operations: ['60/12=5', '70-36=34'] Exploring Operation: 34-5=29, Resulting Numbers: [29] 29,35 unequal: No Solution Exploring Operation: 5+34=39, Resulting Numbers: [39] 39,35 unequal: No Solution Exploring Operation: 534=170, Resulting Numbers: [170] 170,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 35:[36, 14], Operations: ['60/12=5', '70/5=14'] Exploring Operation: 3614=504, Resulting Numbers: [504] 504,35 unequal: No Solution Exploring Operation: 36-14=22, Resulting Numbers: [22] 22,35 unequal: No Solution Exploring Operation: 36+14=50, Resulting Numbers: [50] 50,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 35:[36, 65], Operations: ['60/12=5', '70-5=65'] Exploring Operation: 65-36=29, Resulting Numbers: [29] 29,35 unequal: No Solution Exploring Operation: 36+65=101, Resulting Numbers: [101] 101,35 unequal: No Solution Exploring Operation: 3665=2340, Resulting Numbers: [2340] 2340,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,0 Current State: 35:[36, 2], Operations: ['70-60=10', '12-10=2'] Exploring Operation: 36-2=34, Resulting Numbers: [34] 34,35 unequal: No Solution Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,35 unequal: No Solution Exploring Operation: 36+2=38, Resulting Numbers: [38] 38,35 unequal: No Solution Moving to Node #0,1,2 Current State: 35:[10, 3], Operations: ['70-60=10', '36/12=3'] Exploring Operation: 103=30, Resulting Numbers: [30] 30,35 unequal: No Solution Exploring Operation: 10+3=13, Resulting Numbers: [13] 13,35 unequal: No Solution Exploring Operation: 10-3=7, Resulting Numbers: [7] 7,35 unequal: No Solution Moving to Node #0,1,1 Current State: 35:[10, 24], Operations: ['70-60=10', '36-12=24'] Exploring Operation: 10+24=34, Resulting Numbers: [34] 34,35 unequal: No Solution Exploring Operation: 24-10=14, Resulting Numbers: [14] 14,35 unequal: No Solution Exploring Operation: 1024=240, Resulting Numbers: [240] 240,35 unequal: No Solution No solution found.	0	hs_3	mult_heuristic
[ 70, 34, 52, 71 ]	19	[ "70+34=104", "52+71=123", "123-104=19" ]	Current State: 19:[70, 34, 52, 71], Operations: [] Exploring Operation: 70+34=104, Resulting Numbers: [52, 71, 104] Generated Node #2: [52, 71, 104] from Operation: 70+34=104 Current State: 19:[52, 71, 104], Operations: ['70+34=104'] Exploring Operation: 52+71=123, Resulting Numbers: [104, 123] Generated Node #3: [104, 123] from Operation: 52+71=123 Current State: 19:[104, 123], Operations: ['70+34=104', '52+71=123'] Exploring Operation: 123-104=19, Resulting Numbers: [19] 19,19 equal: Goal Reached	4	Current State: 19:[70, 34, 52, 71], Operations: [] Exploring Operation: 70-52=18, Resulting Numbers: [34, 71, 18] Generated Node #0,0: 19:[34, 71, 18] Operation: 70-52=18 Exploring Operation: 71-70=1, Resulting Numbers: [34, 52, 1] Generated Node #0,1: 19:[34, 52, 1] Operation: 71-70=1 Exploring Operation: 71-52=19, Resulting Numbers: [70, 34, 19] Generated Node #0,2: 19:[70, 34, 19] Operation: 71-52=19 Moving to Node #0,1 Current State: 19:[34, 52, 1], Operations: ['71-70=1'] Exploring Operation: 34-1=33, Resulting Numbers: [52, 33] Generated Node #0,1,0: 19:[52, 33] Operation: 34-1=33 Exploring Operation: 52-34=18, Resulting Numbers: [1, 18] Generated Node #0,1,1: 19:[1, 18] Operation: 52-34=18 Exploring Operation: 52-1=51, Resulting Numbers: [34, 51] Generated Node #0,1,2: 19:[34, 51] Operation: 52-1=51 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 19:[1, 18], Operations: ['71-70=1', '52-34=18'] Exploring Operation: 1+18=19, Resulting Numbers: [19] 19,19 equal: Goal Reached Moving to Node #0 Current State: 19:[70, 34, 52, 71], Operations: [] Exploring Operation: 71-70=1, Resulting Numbers: [34, 52, 1] Generated Node #0,1: 19:[34, 52, 1] Operation: 71-70=1 Moving to Node #0,1 Current State: 19:[34, 52, 1], Operations: ['71-70=1'] Exploring Operation: 52-34=18, Resulting Numbers: [1, 18] Generated Node #0,1,1: 19:[1, 18] Operation: 52-34=18 Moving to Node #0,1,1 Current State: 19:[1, 18], Operations: ['71-70=1', '52-34=18'] Exploring Operation: 1+18=19, Resulting Numbers: [19] 19,19 equal: Goal Reached Exit Sub Search at level 1	0.990451	hs_3	sum_heuristic
[ 57, 12, 9, 19 ]	45	[ "57*12=684", "684/19=36", "9+36=45" ]	Current State: 45:[57, 12, 9, 19], Operations: [] Exploring Operation: 5712=684, Resulting Numbers: [9, 19, 684] Generated Node #2: [9, 19, 684] from Operation: 5712=684 Current State: 45:[9, 19, 684], Operations: ['5712=684'] Exploring Operation: 684/19=36, Resulting Numbers: [9, 36] Generated Node #3: [9, 36] from Operation: 684/19=36 Current State: 45:[9, 36], Operations: ['5712=684', '684/19=36'] Exploring Operation: 9+36=45, Resulting Numbers: [45] 45,45 equal: Goal Reached	4	Current State: 45:[57, 12, 9, 19], Operations: [] Exploring Operation: 57-9=48, Resulting Numbers: [12, 19, 48] Generated Node #0,0: 45:[12, 19, 48] Operation: 57-9=48 Exploring Operation: 57/19=3, Resulting Numbers: [12, 9, 3] Generated Node #0,1: 45:[12, 9, 3] Operation: 57/19=3 Exploring Operation: 57-12=45, Resulting Numbers: [9, 19, 45] Generated Node #0,2: 45:[9, 19, 45] Operation: 57-12=45 Moving to Node #0,1 Current State: 45:[12, 9, 3], Operations: ['57/19=3'] Exploring Operation: 12-3=9, Resulting Numbers: [9, 9] Generated Node #0,1,0: 45:[9, 9] Operation: 12-3=9 Exploring Operation: 12-9=3, Resulting Numbers: [3, 3] Generated Node #0,1,1: 45:[3, 3] Operation: 12-9=3 Exploring Operation: 12+3=15, Resulting Numbers: [9, 15] Generated Node #0,1,2: 45:[9, 15] Operation: 12+3=15 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 45:[9, 9], Operations: ['57/19=3', '12-3=9'] Exploring Operation: 9/9=1, Resulting Numbers: [1] 1,45 unequal: No Solution Exploring Operation: 9-9=0, Resulting Numbers: [0] 0,45 unequal: No Solution Exploring Operation: 9+9=18, Resulting Numbers: [18] 18,45 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 45:[3, 3], Operations: ['57/19=3', '12-9=3'] Exploring Operation: 33=9, Resulting Numbers: [9] 9,45 unequal: No Solution Exploring Operation: 3+3=6, Resulting Numbers: [6] 6,45 unequal: No Solution Exploring Operation: 3/3=1, Resulting Numbers: [1] 1,45 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 45:[9, 15], Operations: ['57/19=3', '12+3=15'] Exploring Operation: 915=135, Resulting Numbers: [135] 135,45 unequal: No Solution Exploring Operation: 9+15=24, Resulting Numbers: [24] 24,45 unequal: No Solution Exploring Operation: 15-9=6, Resulting Numbers: [6] 6,45 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 45:[9, 19, 45], Operations: ['57-12=45'] Exploring Operation: 19-9=10, Resulting Numbers: [45, 10] Generated Node #0,2,0: 45:[45, 10] Operation: 19-9=10 Exploring Operation: 45/9=5, Resulting Numbers: [19, 5] Generated Node #0,2,1: 45:[19, 5] Operation: 45/9=5 Exploring Operation: 45-19=26, Resulting Numbers: [9, 26] Generated Node #0,2,2: 45:[9, 26] Operation: 45-19=26 Moving to Node #0,0 Current State: 45:[12, 19, 48], Operations: ['57-9=48'] Exploring Operation: 48/12=4, Resulting Numbers: [19, 4] Generated Node #0,0,0: 45:[19, 4] Operation: 48/12=4 Exploring Operation: 19-12=7, Resulting Numbers: [48, 7] Generated Node #0,0,1: 45:[48, 7] Operation: 19-12=7 Exploring Operation: 48-12=36, Resulting Numbers: [19, 36] Generated Node #0,0,2: 45:[19, 36] Operation: 48-12=36 Moving to Node #0,2,0 Current State: 45:[45, 10], Operations: ['57-12=45', '19-9=10'] Exploring Operation: 45-10=35, Resulting Numbers: [35] 35,45 unequal: No Solution Exploring Operation: 4510=450, Resulting Numbers: [450] 450,45 unequal: No Solution Exploring Operation: 45+10=55, Resulting Numbers: [55] 55,45 unequal: No Solution Moving to Node #0,2,1 Current State: 45:[19, 5], Operations: ['57-12=45', '45/9=5'] Exploring Operation: 19-5=14, Resulting Numbers: [14] 14,45 unequal: No Solution Exploring Operation: 195=95, Resulting Numbers: [95] 95,45 unequal: No Solution Exploring Operation: 19+5=24, Resulting Numbers: [24] 24,45 unequal: No Solution Moving to Node #0,0,1 Current State: 45:[48, 7], Operations: ['57-9=48', '19-12=7'] Exploring Operation: 48+7=55, Resulting Numbers: [55] 55,45 unequal: No Solution Exploring Operation: 48-7=41, Resulting Numbers: [41] 41,45 unequal: No Solution Exploring Operation: 487=336, Resulting Numbers: [336] 336,45 unequal: No Solution Moving to Node #0,0,0 Current State: 45:[19, 4], Operations: ['57-9=48', '48/12=4'] Exploring Operation: 19+4=23, Resulting Numbers: [23] 23,45 unequal: No Solution Exploring Operation: 194=76, Resulting Numbers: [76] 76,45 unequal: No Solution Exploring Operation: 19-4=15, Resulting Numbers: [15] 15,45 unequal: No Solution Moving to Node #0,2,2 Current State: 45:[9, 26], Operations: ['57-12=45', '45-19=26'] Exploring Operation: 26-9=17, Resulting Numbers: [17] 17,45 unequal: No Solution Exploring Operation: 9+26=35, Resulting Numbers: [35] 35,45 unequal: No Solution Exploring Operation: 926=234, Resulting Numbers: [234] 234,45 unequal: No Solution Moving to Node #0,0,2 Current State: 45:[19, 36], Operations: ['57-9=48', '48-12=36'] Exploring Operation: 36-19=17, Resulting Numbers: [17] 17,45 unequal: No Solution Exploring Operation: 19+36=55, Resulting Numbers: [55] 55,45 unequal: No Solution Exploring Operation: 1936=684, Resulting Numbers: [684] 684,45 unequal: No Solution No solution found.	0	hs_3	sum_heuristic
[ 55, 1, 3, 63 ]	47	[ "3-1=2", "55*2=110", "110-63=47" ]	Current State: 47:[55, 1, 3, 63], Operations: [] Exploring Operation: 3-1=2, Resulting Numbers: [55, 63, 2] Generated Node #2: [55, 63, 2] from Operation: 3-1=2 Current State: 47:[55, 63, 2], Operations: ['3-1=2'] Exploring Operation: 552=110, Resulting Numbers: [63, 110] Generated Node #3: [63, 110] from Operation: 552=110 Current State: 47:[63, 110], Operations: ['3-1=2', '55*2=110'] Exploring Operation: 110-63=47, Resulting Numbers: [47] 47,47 equal: Goal Reached	4	Current State: 47:[55, 1, 3, 63], Operations: [] Exploring Operation: 55-3=52, Resulting Numbers: [1, 63, 52] Generated Node #0,0: 47:[1, 63, 52] Operation: 55-3=52 Exploring Operation: 55-1=54, Resulting Numbers: [3, 63, 54] Generated Node #0,1: 47:[3, 63, 54] Operation: 55-1=54 Start Sub Search at level 1: Moving to Node #0,0 Current State: 47:[1, 63, 52], Operations: ['55-3=52'] Exploring Operation: 63-1=62, Resulting Numbers: [52, 62] Generated Node #0,0,0: 47:[52, 62] Operation: 63-1=62 Exploring Operation: 52-1=51, Resulting Numbers: [63, 51] Generated Node #0,0,1: 47:[63, 51] Operation: 52-1=51 Moving to Node #0,0,0 Current State: 47:[52, 62], Operations: ['55-3=52', '63-1=62'] Exploring Operation: 62-52=10, Resulting Numbers: [10] 10,47 unequal: No Solution Exploring Operation: 52+62=114, Resulting Numbers: [114] 114,47 unequal: No Solution Moving to Node #0,0,1 Current State: 47:[63, 51], Operations: ['55-3=52', '52-1=51'] Exploring Operation: 63-51=12, Resulting Numbers: [12] 12,47 unequal: No Solution Exploring Operation: 63+51=114, Resulting Numbers: [114] 114,47 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 47:[3, 63, 54], Operations: ['55-1=54'] Exploring Operation: 63-3=60, Resulting Numbers: [54, 60] Generated Node #0,1,0: 47:[54, 60] Operation: 63-3=60 Exploring Operation: 54-3=51, Resulting Numbers: [63, 51] Generated Node #0,1,1: 47:[63, 51] Operation: 54-3=51 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 47:[54, 60], Operations: ['55-1=54', '63-3=60'] Exploring Operation: 54+60=114, Resulting Numbers: [114] 114,47 unequal: No Solution Exploring Operation: 60-54=6, Resulting Numbers: [6] 6,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 47:[63, 51], Operations: ['55-1=54', '54-3=51'] Exploring Operation: 63+51=114, Resulting Numbers: [114] 114,47 unequal: No Solution Exploring Operation: 63-51=12, Resulting Numbers: [12] 12,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	sum_heuristic
[ 59, 10, 74, 74 ]	48	[ "59-10=49", "74/74=1", "49-1=48" ]	Current State: 48:[59, 10, 74, 74], Operations: [] Exploring Operation: 59-10=49, Resulting Numbers: [74, 74, 49] Generated Node #2: [74, 74, 49] from Operation: 59-10=49 Current State: 48:[74, 74, 49], Operations: ['59-10=49'] Exploring Operation: 74/74=1, Resulting Numbers: [49, 1] Generated Node #3: [49, 1] from Operation: 74/74=1 Current State: 48:[49, 1], Operations: ['59-10=49', '74/74=1'] Exploring Operation: 49-1=48, Resulting Numbers: [48] 48,48 equal: Goal Reached	4	Current State: 48:[59, 10, 74, 74], Operations: [] Exploring Operation: 74-74=0, Resulting Numbers: [59, 10, 0] Generated Node #0,0: 48:[59, 10, 0] Operation: 74-74=0 Exploring Operation: 74-59=15, Resulting Numbers: [10, 74, 15] Generated Node #0,1: 48:[10, 74, 15] Operation: 74-59=15 Exploring Operation: 74/74=1, Resulting Numbers: [59, 10, 1] Generated Node #0,2: 48:[59, 10, 1] Operation: 74/74=1 Start Sub Search at level 1: Moving to Node #0,2 Current State: 48:[59, 10, 1], Operations: ['74/74=1'] Exploring Operation: 10+1=11, Resulting Numbers: [59, 11] Generated Node #0,2,0: 48:[59, 11] Operation: 10+1=11 Exploring Operation: 59-10=49, Resulting Numbers: [1, 49] Generated Node #0,2,1: 48:[1, 49] Operation: 59-10=49 Exploring Operation: 59-1=58, Resulting Numbers: [10, 58] Generated Node #0,2,2: 48:[10, 58] Operation: 59-1=58 Moving to Node #0,2,1 Current State: 48:[1, 49], Operations: ['74/74=1', '59-10=49'] Exploring Operation: 49-1=48, Resulting Numbers: [48] 48,48 equal: Goal Reached Moving to Node #0 Current State: 48:[59, 10, 74, 74], Operations: [] Exploring Operation: 74/74=1, Resulting Numbers: [59, 10, 1] Generated Node #0,2: 48:[59, 10, 1] Operation: 74/74=1 Moving to Node #0,2 Current State: 48:[59, 10, 1], Operations: ['74/74=1'] Exploring Operation: 59-10=49, Resulting Numbers: [1, 49] Generated Node #0,2,1: 48:[1, 49] Operation: 59-10=49 Moving to Node #0,2,1 Current State: 48:[1, 49], Operations: ['74/74=1', '59-10=49'] Exploring Operation: 49-1=48, Resulting Numbers: [48] 48,48 equal: Goal Reached Exit Sub Search at level 1	0.990451	hs_3	mult_heuristic
[ 26, 38, 33, 64 ]	14	[ "26*33=858", "38+858=896", "896/64=14" ]	Current State: 14:[26, 38, 33, 64], Operations: [] Exploring Operation: 2633=858, Resulting Numbers: [38, 64, 858] Generated Node #2: [38, 64, 858] from Operation: 2633=858 Current State: 14:[38, 64, 858], Operations: ['2633=858'] Exploring Operation: 38+858=896, Resulting Numbers: [64, 896] Generated Node #3: [64, 896] from Operation: 38+858=896 Current State: 14:[64, 896], Operations: ['2633=858', '38+858=896'] Exploring Operation: 896/64=14, Resulting Numbers: [14] 14,14 equal: Goal Reached	4	Current State: 14:[26, 38, 33, 64], Operations: [] Exploring Operation: 64-33=31, Resulting Numbers: [26, 38, 31] Generated Node #0,0: 14:[26, 38, 31] Operation: 64-33=31 Exploring Operation: 64-38=26, Resulting Numbers: [26, 33, 26] Generated Node #0,1: 14:[26, 33, 26] Operation: 64-38=26 Start Sub Search at level 1: Moving to Node #0,1 Current State: 14:[26, 33, 26], Operations: ['64-38=26'] Exploring Operation: 33-26=7, Resulting Numbers: [26, 7] Generated Node #0,1,0: 14:[26, 7] Operation: 33-26=7 Exploring Operation: 33-26=7, Resulting Numbers: [26, 7] Generated Node #0,1,1: 14:[26, 7] Operation: 33-26=7 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 14:[26, 7], Operations: ['64-38=26', '33-26=7'] Exploring Operation: 26+7=33, Resulting Numbers: [33] 33,14 unequal: No Solution Exploring Operation: 26-7=19, Resulting Numbers: [19] 19,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 14:[26, 7], Operations: ['64-38=26', '33-26=7'] Exploring Operation: 26-7=19, Resulting Numbers: [19] 19,14 unequal: No Solution Exploring Operation: 26+7=33, Resulting Numbers: [33] 33,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 14:[26, 38, 31], Operations: ['64-33=31'] Exploring Operation: 38-26=12, Resulting Numbers: [31, 12] Generated Node #0,0,0: 14:[31, 12] Operation: 38-26=12 Exploring Operation: 38-31=7, Resulting Numbers: [26, 7] Generated Node #0,0,1: 14:[26, 7] Operation: 38-31=7 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 14:[26, 7], Operations: ['64-33=31', '38-31=7'] Exploring Operation: 26+7=33, Resulting Numbers: [33] 33,14 unequal: No Solution Exploring Operation: 26-7=19, Resulting Numbers: [19] 19,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 14:[31, 12], Operations: ['64-33=31', '38-26=12'] Exploring Operation: 31-12=19, Resulting Numbers: [19] 19,14 unequal: No Solution Exploring Operation: 31+12=43, Resulting Numbers: [43] 43,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	sum_heuristic
[ 31, 20, 84, 13 ]	82	[ "31-20=11", "84-13=71", "11+71=82" ]	Current State: 82:[31, 20, 84, 13], Operations: [] Exploring Operation: 31-20=11, Resulting Numbers: [84, 13, 11] Generated Node #2: [84, 13, 11] from Operation: 31-20=11 Current State: 82:[84, 13, 11], Operations: ['31-20=11'] Exploring Operation: 84-13=71, Resulting Numbers: [11, 71] Generated Node #3: [11, 71] from Operation: 84-13=71 Current State: 82:[11, 71], Operations: ['31-20=11', '84-13=71'] Exploring Operation: 11+71=82, Resulting Numbers: [82] 82,82 equal: Goal Reached	4	Current State: 82:[31, 20, 84, 13], Operations: [] Exploring Operation: 20-13=7, Resulting Numbers: [31, 84, 7] Generated Node #0,0: 82:[31, 84, 7] Operation: 20-13=7 Start Sub Search at level 1: Moving to Node #0,0 Current State: 82:[31, 84, 7], Operations: ['20-13=7'] Exploring Operation: 31+7=38, Resulting Numbers: [84, 38] Generated Node #0,0,0: 82:[84, 38] Operation: 31+7=38 Moving to Node #0,0,0 Current State: 82:[84, 38], Operations: ['20-13=7', '31+7=38'] Exploring Operation: 84-38=46, Resulting Numbers: [46] 46,82 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 20, 87, 23, 27 ]	20	[ "23-20=3", "87-27=60", "60/3=20" ]	Current State: 20:[20, 87, 23, 27], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [87, 27, 3] Generated Node #2: [87, 27, 3] from Operation: 23-20=3 Current State: 20:[87, 27, 3], Operations: ['23-20=3'] Exploring Operation: 87-27=60, Resulting Numbers: [3, 60] Generated Node #3: [3, 60] from Operation: 87-27=60 Current State: 20:[3, 60], Operations: ['23-20=3', '87-27=60'] Exploring Operation: 60/3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached	4	Current State: 20:[20, 87, 23, 27], Operations: [] Exploring Operation: 87-23=64, Resulting Numbers: [20, 27, 64] Generated Node #0,0: 20:[20, 27, 64] Operation: 87-23=64 Exploring Operation: 87-20=67, Resulting Numbers: [23, 27, 67] Generated Node #0,1: 20:[23, 27, 67] Operation: 87-20=67 Exploring Operation: 27-23=4, Resulting Numbers: [20, 87, 4] Generated Node #0,2: 20:[20, 87, 4] Operation: 27-23=4 Exploring Operation: 87-27=60, Resulting Numbers: [20, 23, 60] Generated Node #0,3: 20:[20, 23, 60] Operation: 87-27=60 Moving to Node #0,3 Current State: 20:[20, 23, 60], Operations: ['87-27=60'] Exploring Operation: 60-20=40, Resulting Numbers: [23, 40] Generated Node #0,3,0: 20:[23, 40] Operation: 60-20=40 Exploring Operation: 60-23=37, Resulting Numbers: [20, 37] Generated Node #0,3,1: 20:[20, 37] Operation: 60-23=37 Exploring Operation: 60/20=3, Resulting Numbers: [23, 3] Generated Node #0,3,2: 20:[23, 3] Operation: 60/20=3 Exploring Operation: 23-20=3, Resulting Numbers: [60, 3] Generated Node #0,3,3: 20:[60, 3] Operation: 23-20=3 Moving to Node #0,0 Current State: 20:[20, 27, 64], Operations: ['87-23=64'] Exploring Operation: 27-20=7, Resulting Numbers: [64, 7] Generated Node #0,0,0: 20:[64, 7] Operation: 27-20=7 Exploring Operation: 20+27=47, Resulting Numbers: [64, 47] Generated Node #0,0,1: 20:[64, 47] Operation: 20+27=47 Exploring Operation: 64-20=44, Resulting Numbers: [27, 44] Generated Node #0,0,2: 20:[27, 44] Operation: 64-20=44 Exploring Operation: 64-27=37, Resulting Numbers: [20, 37] Generated Node #0,0,3: 20:[20, 37] Operation: 64-27=37 Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 20:[20, 37], Operations: ['87-23=64', '64-27=37'] Exploring Operation: 2037=740, Resulting Numbers: [740] 740,20 unequal: No Solution Exploring Operation: 37-20=17, Resulting Numbers: [17] 17,20 unequal: No Solution Exploring Operation: 20+37=57, Resulting Numbers: [57] 57,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 20:[27, 44], Operations: ['87-23=64', '64-20=44'] Exploring Operation: 27+44=71, Resulting Numbers: [71] 71,20 unequal: No Solution Exploring Operation: 44-27=17, Resulting Numbers: [17] 17,20 unequal: No Solution Exploring Operation: 2744=1188, Resulting Numbers: [1188] 1188,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 20:[64, 7], Operations: ['87-23=64', '27-20=7'] Exploring Operation: 64-7=57, Resulting Numbers: [57] 57,20 unequal: No Solution Exploring Operation: 64+7=71, Resulting Numbers: [71] 71,20 unequal: No Solution Exploring Operation: 647=448, Resulting Numbers: [448] 448,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 20:[64, 47], Operations: ['87-23=64', '20+27=47'] Exploring Operation: 64-47=17, Resulting Numbers: [17] 17,20 unequal: No Solution Exploring Operation: 64+47=111, Resulting Numbers: [111] 111,20 unequal: No Solution Exploring Operation: 6447=3008, Resulting Numbers: [3008] 3008,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 20:[23, 27, 67], Operations: ['87-20=67'] Exploring Operation: 27-23=4, Resulting Numbers: [67, 4] Generated Node #0,1,0: 20:[67, 4] Operation: 27-23=4 Exploring Operation: 67-23=44, Resulting Numbers: [27, 44] Generated Node #0,1,1: 20:[27, 44] Operation: 67-23=44 Exploring Operation: 67-27=40, Resulting Numbers: [23, 40] Generated Node #0,1,2: 20:[23, 40] Operation: 67-27=40 Exploring Operation: 23+27=50, Resulting Numbers: [67, 50] Generated Node #0,1,3: 20:[67, 50] Operation: 23+27=50 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 20:[23, 40], Operations: ['87-20=67', '67-27=40'] Exploring Operation: 2340=920, Resulting Numbers: [920] 920,20 unequal: No Solution Exploring Operation: 23+40=63, Resulting Numbers: [63] 63,20 unequal: No Solution Exploring Operation: 40-23=17, Resulting Numbers: [17] 17,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 20:[27, 44], Operations: ['87-20=67', '67-23=44'] Exploring Operation: 44-27=17, Resulting Numbers: [17] 17,20 unequal: No Solution Exploring Operation: 2744=1188, Resulting Numbers: [1188] 1188,20 unequal: No Solution Exploring Operation: 27+44=71, Resulting Numbers: [71] 71,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 20:[67, 4], Operations: ['87-20=67', '27-23=4'] Exploring Operation: 67+4=71, Resulting Numbers: [71] 71,20 unequal: No Solution Exploring Operation: 674=268, Resulting Numbers: [268] 268,20 unequal: No Solution Exploring Operation: 67-4=63, Resulting Numbers: [63] 63,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 20:[67, 50], Operations: ['87-20=67', '23+27=50'] Exploring Operation: 67-50=17, Resulting Numbers: [17] 17,20 unequal: No Solution Exploring Operation: 67+50=117, Resulting Numbers: [117] 117,20 unequal: No Solution Exploring Operation: 6750=3350, Resulting Numbers: [3350] 3350,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 20:[20, 87, 4], Operations: ['27-23=4'] Exploring Operation: 20+4=24, Resulting Numbers: [87, 24] Generated Node #0,2,0: 20:[87, 24] Operation: 20+4=24 Exploring Operation: 87-4=83, Resulting Numbers: [20, 83] Generated Node #0,2,1: 20:[20, 83] Operation: 87-4=83 Exploring Operation: 87-20=67, Resulting Numbers: [4, 67] Generated Node #0,2,2: 20:[4, 67] Operation: 87-20=67 Exploring Operation: 20/4=5, Resulting Numbers: [87, 5] Generated Node #0,2,3: 20:[87, 5] Operation: 20/4=5 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 20:[4, 67], Operations: ['27-23=4', '87-20=67'] Exploring Operation: 467=268, Resulting Numbers: [268] 268,20 unequal: No Solution Exploring Operation: 67-4=63, Resulting Numbers: [63] 63,20 unequal: No Solution Exploring Operation: 4+67=71, Resulting Numbers: [71] 71,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 20:[20, 83], Operations: ['27-23=4', '87-4=83'] Exploring Operation: 2083=1660, Resulting Numbers: [1660] 1660,20 unequal: No Solution Exploring Operation: 20+83=103, Resulting Numbers: [103] 103,20 unequal: No Solution Exploring Operation: 83-20=63, Resulting Numbers: [63] 63,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 20:[87, 5], Operations: ['27-23=4', '20/4=5'] Exploring Operation: 87+5=92, Resulting Numbers: [92] 92,20 unequal: No Solution Exploring Operation: 87-5=82, Resulting Numbers: [82] 82,20 unequal: No Solution Exploring Operation: 875=435, Resulting Numbers: [435] 435,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 20:[87, 24], Operations: ['27-23=4', '20+4=24'] Exploring Operation: 8724=2088, Resulting Numbers: [2088] 2088,20 unequal: No Solution Exploring Operation: 87-24=63, Resulting Numbers: [63] 63,20 unequal: No Solution Exploring Operation: 87+24=111, Resulting Numbers: [111] 111,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3,2 Current State: 20:[23, 3], Operations: ['87-27=60', '60/20=3'] Exploring Operation: 23-3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached Moving to Node #0 Current State: 20:[20, 87, 23, 27], Operations: [] Exploring Operation: 87-27=60, Resulting Numbers: [20, 23, 60] Generated Node #0,3: 20:[20, 23, 60] Operation: 87-27=60 Moving to Node #0,3 Current State: 20:[20, 23, 60], Operations: ['87-27=60'] Exploring Operation: 60/20=3, Resulting Numbers: [23, 3] Generated Node #0,3,2: 20:[23, 3] Operation: 60/20=3 Moving to Node #0,3,2 Current State: 20:[23, 3], Operations: ['87-27=60', '60/20=3'] Exploring Operation: 23-3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached	0.947049	hs_4	sum_heuristic
[ 56, 51, 45, 30 ]	50	[ "56*45=2520", "30+2520=2550", "2550/51=50" ]	Current State: 50:[56, 51, 45, 30], Operations: [] Exploring Operation: 5645=2520, Resulting Numbers: [51, 30, 2520] Generated Node #2: [51, 30, 2520] from Operation: 5645=2520 Current State: 50:[51, 30, 2520], Operations: ['5645=2520'] Exploring Operation: 30+2520=2550, Resulting Numbers: [51, 2550] Generated Node #3: [51, 2550] from Operation: 30+2520=2550 Current State: 50:[51, 2550], Operations: ['5645=2520', '30+2520=2550'] Exploring Operation: 2550/51=50, Resulting Numbers: [50] 50,50 equal: Goal Reached	4	Current State: 50:[56, 51, 45, 30], Operations: [] Exploring Operation: 56-45=11, Resulting Numbers: [51, 30, 11] Generated Node #0,0: 50:[51, 30, 11] Operation: 56-45=11 Moving to Node #0,0 Current State: 50:[51, 30, 11], Operations: ['56-45=11'] Exploring Operation: 51-30=21, Resulting Numbers: [11, 21] Generated Node #0,0,0: 50:[11, 21] Operation: 51-30=21 Moving to Node #0,0,0 Current State: 50:[11, 21], Operations: ['56-45=11', '51-30=21'] Exploring Operation: 21-11=10, Resulting Numbers: [10] 10,50 unequal: No Solution No solution found.	0	hs_1	mult_heuristic
[ 19, 11, 46, 9 ]	63	[ "19-11=8", "46+9=55", "8+55=63" ]	Current State: 63:[19, 11, 46, 9], Operations: [] Exploring Operation: 19-11=8, Resulting Numbers: [46, 9, 8] Generated Node #2: [46, 9, 8] from Operation: 19-11=8 Current State: 63:[46, 9, 8], Operations: ['19-11=8'] Exploring Operation: 46+9=55, Resulting Numbers: [8, 55] Generated Node #3: [8, 55] from Operation: 46+9=55 Current State: 63:[8, 55], Operations: ['19-11=8', '46+9=55'] Exploring Operation: 8+55=63, Resulting Numbers: [63] 63,63 equal: Goal Reached	4	Current State: 63:[19, 11, 46, 9], Operations: [] Exploring Operation: 19+46=65, Resulting Numbers: [11, 9, 65] Generated Node #0,0: 63:[11, 9, 65] Operation: 19+46=65 Moving to Node #0,0 Current State: 63:[11, 9, 65], Operations: ['19+46=65'] Exploring Operation: 11+9=20, Resulting Numbers: [65, 20] Generated Node #0,0,0: 63:[65, 20] Operation: 11+9=20 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 63:[65, 20], Operations: ['19+46=65', '11+9=20'] Exploring Operation: 65-20=45, Resulting Numbers: [45] 45,63 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 10, 68, 73, 79 ]	64	[ "68-10=58", "79-73=6", "58+6=64" ]	Current State: 64:[10, 68, 73, 79], Operations: [] Exploring Operation: 68-10=58, Resulting Numbers: [73, 79, 58] Generated Node #2: [73, 79, 58] from Operation: 68-10=58 Current State: 64:[73, 79, 58], Operations: ['68-10=58'] Exploring Operation: 79-73=6, Resulting Numbers: [58, 6] Generated Node #3: [58, 6] from Operation: 79-73=6 Current State: 64:[58, 6], Operations: ['68-10=58', '79-73=6'] Exploring Operation: 58+6=64, Resulting Numbers: [64] 64,64 equal: Goal Reached	4	Current State: 64:[10, 68, 73, 79], Operations: [] Exploring Operation: 79-68=11, Resulting Numbers: [10, 73, 11] Generated Node #0,0: 64:[10, 73, 11] Operation: 79-68=11 Exploring Operation: 79-73=6, Resulting Numbers: [10, 68, 6] Generated Node #0,1: 64:[10, 68, 6] Operation: 79-73=6 Moving to Node #0,1 Current State: 64:[10, 68, 6], Operations: ['79-73=6'] Exploring Operation: 10+6=16, Resulting Numbers: [68, 16] Generated Node #0,1,0: 64:[68, 16] Operation: 10+6=16 Exploring Operation: 10-6=4, Resulting Numbers: [68, 4] Generated Node #0,1,1: 64:[68, 4] Operation: 10-6=4 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 64:[68, 16], Operations: ['79-73=6', '10+6=16'] Exploring Operation: 68+16=84, Resulting Numbers: [84] 84,64 unequal: No Solution Exploring Operation: 68-16=52, Resulting Numbers: [52] 52,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 64:[68, 4], Operations: ['79-73=6', '10-6=4'] Exploring Operation: 68/4=17, Resulting Numbers: [17] 17,64 unequal: No Solution Exploring Operation: 68-4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached Moving to Node #0 Current State: 64:[10, 68, 73, 79], Operations: [] Exploring Operation: 79-73=6, Resulting Numbers: [10, 68, 6] Generated Node #0,1: 64:[10, 68, 6] Operation: 79-73=6 Moving to Node #0,1 Current State: 64:[10, 68, 6], Operations: ['79-73=6'] Exploring Operation: 10-6=4, Resulting Numbers: [68, 4] Generated Node #0,1,1: 64:[68, 4] Operation: 10-6=4 Moving to Node #0,1,1 Current State: 64:[68, 4], Operations: ['79-73=6', '10-6=4'] Exploring Operation: 68-4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached Exit Sub Search at level 1	0.989583	hs_2	sum_heuristic
[ 95, 86, 61, 28 ]	24	[ "95-86=9", "61-28=33", "33-9=24" ]	Current State: 24:[95, 86, 61, 28], Operations: [] Exploring Operation: 95-86=9, Resulting Numbers: [61, 28, 9] Generated Node #2: [61, 28, 9] from Operation: 95-86=9 Current State: 24:[61, 28, 9], Operations: ['95-86=9'] Exploring Operation: 61-28=33, Resulting Numbers: [9, 33] Generated Node #3: [9, 33] from Operation: 61-28=33 Current State: 24:[9, 33], Operations: ['95-86=9', '61-28=33'] Exploring Operation: 33-9=24, Resulting Numbers: [24] 24,24 equal: Goal Reached	4	Current State: 24:[95, 86, 61, 28], Operations: [] Exploring Operation: 86-61=25, Resulting Numbers: [95, 28, 25] Generated Node #0,0: 24:[95, 28, 25] Operation: 86-61=25 Exploring Operation: 95-28=67, Resulting Numbers: [86, 61, 67] Generated Node #0,1: 24:[86, 61, 67] Operation: 95-28=67 Exploring Operation: 95-61=34, Resulting Numbers: [86, 28, 34] Generated Node #0,2: 24:[86, 28, 34] Operation: 95-61=34 Exploring Operation: 95-86=9, Resulting Numbers: [61, 28, 9] Generated Node #0,3: 24:[61, 28, 9] Operation: 95-86=9 Start Sub Search at level 1: Moving to Node #0,3 Current State: 24:[61, 28, 9], Operations: ['95-86=9'] Exploring Operation: 61+9=70, Resulting Numbers: [28, 70] Generated Node #0,3,0: 24:[28, 70] Operation: 61+9=70 Exploring Operation: 61-28=33, Resulting Numbers: [9, 33] Generated Node #0,3,1: 24:[9, 33] Operation: 61-28=33 Exploring Operation: 28-9=19, Resulting Numbers: [61, 19] Generated Node #0,3,2: 24:[61, 19] Operation: 28-9=19 Exploring Operation: 61-9=52, Resulting Numbers: [28, 52] Generated Node #0,3,3: 24:[28, 52] Operation: 61-9=52 Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 24:[9, 33], Operations: ['95-86=9', '61-28=33'] Exploring Operation: 33-9=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Moving to Node #0 Current State: 24:[95, 86, 61, 28], Operations: [] Exploring Operation: 95-86=9, Resulting Numbers: [61, 28, 9] Generated Node #0,3: 24:[61, 28, 9] Operation: 95-86=9 Moving to Node #0,3 Current State: 24:[61, 28, 9], Operations: ['95-86=9'] Exploring Operation: 61-28=33, Resulting Numbers: [9, 33] Generated Node #0,3,1: 24:[9, 33] Operation: 61-28=33 Moving to Node #0,3,1 Current State: 24:[9, 33], Operations: ['95-86=9', '61-28=33'] Exploring Operation: 33-9=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.988715	hs_4	mult_heuristic
[ 12, 91, 40, 64 ]	25	[ "91-12=79", "40+64=104", "104-79=25" ]	Current State: 25:[12, 91, 40, 64], Operations: [] Exploring Operation: 91-12=79, Resulting Numbers: [40, 64, 79] Generated Node #2: [40, 64, 79] from Operation: 91-12=79 Current State: 25:[40, 64, 79], Operations: ['91-12=79'] Exploring Operation: 40+64=104, Resulting Numbers: [79, 104] Generated Node #3: [79, 104] from Operation: 40+64=104 Current State: 25:[79, 104], Operations: ['91-12=79', '40+64=104'] Exploring Operation: 104-79=25, Resulting Numbers: [25] 25,25 equal: Goal Reached	4	Current State: 25:[12, 91, 40, 64], Operations: [] Exploring Operation: 91-40=51, Resulting Numbers: [12, 64, 51] Generated Node #0,0: 25:[12, 64, 51] Operation: 91-40=51 Exploring Operation: 64-40=24, Resulting Numbers: [12, 91, 24] Generated Node #0,1: 25:[12, 91, 24] Operation: 64-40=24 Exploring Operation: 91-64=27, Resulting Numbers: [12, 40, 27] Generated Node #0,2: 25:[12, 40, 27] Operation: 91-64=27 Start Sub Search at level 1: Moving to Node #0,2 Current State: 25:[12, 40, 27], Operations: ['91-64=27'] Exploring Operation: 27-12=15, Resulting Numbers: [40, 15] Generated Node #0,2,0: 25:[40, 15] Operation: 27-12=15 Exploring Operation: 40-12=28, Resulting Numbers: [27, 28] Generated Node #0,2,1: 25:[27, 28] Operation: 40-12=28 Exploring Operation: 40-27=13, Resulting Numbers: [12, 13] Generated Node #0,2,2: 25:[12, 13] Operation: 40-27=13 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 25:[27, 28], Operations: ['91-64=27', '40-12=28'] Exploring Operation: 27+28=55, Resulting Numbers: [55] 55,25 unequal: No Solution Exploring Operation: 2728=756, Resulting Numbers: [756] 756,25 unequal: No Solution Exploring Operation: 28-27=1, Resulting Numbers: [1] 1,25 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 25:[12, 13], Operations: ['91-64=27', '40-27=13'] Exploring Operation: 1213=156, Resulting Numbers: [156] 156,25 unequal: No Solution Exploring Operation: 12+13=25, Resulting Numbers: [25] 25,25 equal: Goal Reached Moving to Node #0 Current State: 25:[12, 91, 40, 64], Operations: [] Exploring Operation: 91-64=27, Resulting Numbers: [12, 40, 27] Generated Node #0,2: 25:[12, 40, 27] Operation: 91-64=27 Moving to Node #0,2 Current State: 25:[12, 40, 27], Operations: ['91-64=27'] Exploring Operation: 40-27=13, Resulting Numbers: [12, 13] Generated Node #0,2,2: 25:[12, 13] Operation: 40-27=13 Moving to Node #0,2,2 Current State: 25:[12, 13], Operations: ['91-64=27', '40-27=13'] Exploring Operation: 12+13=25, Resulting Numbers: [25] 25,25 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.986979	hs_3	sum_heuristic
[ 99, 20, 13, 34 ]	37	[ "20+13=33", "99/33=3", "34+3=37" ]	Current State: 37:[99, 20, 13, 34], Operations: [] Exploring Operation: 20+13=33, Resulting Numbers: [99, 34, 33] Generated Node #2: [99, 34, 33] from Operation: 20+13=33 Current State: 37:[99, 34, 33], Operations: ['20+13=33'] Exploring Operation: 99/33=3, Resulting Numbers: [34, 3] Generated Node #3: [34, 3] from Operation: 99/33=3 Current State: 37:[34, 3], Operations: ['20+13=33', '99/33=3'] Exploring Operation: 34+3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached	4	Current State: 37:[99, 20, 13, 34], Operations: [] Exploring Operation: 99-20=79, Resulting Numbers: [13, 34, 79] Generated Node #0,0: 37:[13, 34, 79] Operation: 99-20=79 Start Sub Search at level 1: Moving to Node #0,0 Current State: 37:[13, 34, 79], Operations: ['99-20=79'] Exploring Operation: 79-13=66, Resulting Numbers: [34, 66] Generated Node #0,0,0: 37:[34, 66] Operation: 79-13=66 Moving to Node #0,0,0 Current State: 37:[34, 66], Operations: ['99-20=79', '79-13=66'] Exploring Operation: 66-34=32, Resulting Numbers: [32] 32,37 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 27, 24, 14, 66 ]	77	[ "27-24=3", "14+66=80", "80-3=77" ]	Current State: 77:[27, 24, 14, 66], Operations: [] Exploring Operation: 27-24=3, Resulting Numbers: [14, 66, 3] Generated Node #2: [14, 66, 3] from Operation: 27-24=3 Current State: 77:[14, 66, 3], Operations: ['27-24=3'] Exploring Operation: 14+66=80, Resulting Numbers: [3, 80] Generated Node #3: [3, 80] from Operation: 14+66=80 Current State: 77:[3, 80], Operations: ['27-24=3', '14+66=80'] Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached	4	Current State: 77:[27, 24, 14, 66], Operations: [] Exploring Operation: 27-24=3, Resulting Numbers: [14, 66, 3] Generated Node #0,0: 77:[14, 66, 3] Operation: 27-24=3 Start Sub Search at level 1: Moving to Node #0,0 Current State: 77:[14, 66, 3], Operations: ['27-24=3'] Exploring Operation: 14+66=80, Resulting Numbers: [3, 80] Generated Node #0,0,0: 77:[3, 80] Operation: 14+66=80 Moving to Node #0,0,0 Current State: 77:[3, 80], Operations: ['27-24=3', '14+66=80'] Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached Moving to Node #0 Current State: 77:[27, 24, 14, 66], Operations: [] Exploring Operation: 27-24=3, Resulting Numbers: [14, 66, 3] Generated Node #0,0: 77:[14, 66, 3] Operation: 27-24=3 Moving to Node #0,0 Current State: 77:[14, 66, 3], Operations: ['27-24=3'] Exploring Operation: 14+66=80, Resulting Numbers: [3, 80] Generated Node #0,0,0: 77:[3, 80] Operation: 14+66=80 Moving to Node #0,0,0 Current State: 77:[3, 80], Operations: ['27-24=3', '14+66=80'] Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached Exit Sub Search at level 1	0.993924	hs_1	mult_heuristic
[ 54, 88, 5, 2 ]	85	[ "88-54=34", "5*34=170", "170/2=85" ]	Current State: 85:[54, 88, 5, 2], Operations: [] Exploring Operation: 88-54=34, Resulting Numbers: [5, 2, 34] Generated Node #2: [5, 2, 34] from Operation: 88-54=34 Current State: 85:[5, 2, 34], Operations: ['88-54=34'] Exploring Operation: 534=170, Resulting Numbers: [2, 170] Generated Node #3: [2, 170] from Operation: 534=170 Current State: 85:[2, 170], Operations: ['88-54=34', '5*34=170'] Exploring Operation: 170/2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached	4	Current State: 85:[54, 88, 5, 2], Operations: [] Exploring Operation: 54/2=27, Resulting Numbers: [88, 5, 27] Generated Node #0,0: 85:[88, 5, 27] Operation: 54/2=27 Moving to Node #0,0 Current State: 85:[88, 5, 27], Operations: ['54/2=27'] Exploring Operation: 27-5=22, Resulting Numbers: [88, 22] Generated Node #0,0,0: 85:[88, 22] Operation: 27-5=22 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 85:[88, 22], Operations: ['54/2=27', '27-5=22'] Exploring Operation: 88/22=4, Resulting Numbers: [4] 4,85 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 96, 62, 6, 2 ]	15	[ "96/6=16", "62/2=31", "31-16=15" ]	Current State: 15:[96, 62, 6, 2], Operations: [] Exploring Operation: 96/6=16, Resulting Numbers: [62, 2, 16] Generated Node #2: [62, 2, 16] from Operation: 96/6=16 Current State: 15:[62, 2, 16], Operations: ['96/6=16'] Exploring Operation: 62/2=31, Resulting Numbers: [16, 31] Generated Node #3: [16, 31] from Operation: 62/2=31 Current State: 15:[16, 31], Operations: ['96/6=16', '62/2=31'] Exploring Operation: 31-16=15, Resulting Numbers: [15] 15,15 equal: Goal Reached	4	Current State: 15:[96, 62, 6, 2], Operations: [] Exploring Operation: 96/2=48, Resulting Numbers: [62, 6, 48] Generated Node #0,0: 15:[62, 6, 48] Operation: 96/2=48 Exploring Operation: 96-62=34, Resulting Numbers: [6, 2, 34] Generated Node #0,1: 15:[6, 2, 34] Operation: 96-62=34 Exploring Operation: 96/6=16, Resulting Numbers: [62, 2, 16] Generated Node #0,2: 15:[62, 2, 16] Operation: 96/6=16 Moving to Node #0,1 Current State: 15:[6, 2, 34], Operations: ['96-62=34'] Exploring Operation: 34/2=17, Resulting Numbers: [6, 17] Generated Node #0,1,0: 15:[6, 17] Operation: 34/2=17 Exploring Operation: 34-6=28, Resulting Numbers: [2, 28] Generated Node #0,1,1: 15:[2, 28] Operation: 34-6=28 Exploring Operation: 34-2=32, Resulting Numbers: [6, 32] Generated Node #0,1,2: 15:[6, 32] Operation: 34-2=32 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 15:[6, 17], Operations: ['96-62=34', '34/2=17'] Exploring Operation: 17-6=11, Resulting Numbers: [11] 11,15 unequal: No Solution Exploring Operation: 617=102, Resulting Numbers: [102] 102,15 unequal: No Solution Exploring Operation: 6+17=23, Resulting Numbers: [23] 23,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 15:[2, 28], Operations: ['96-62=34', '34-6=28'] Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,15 unequal: No Solution Exploring Operation: 2+28=30, Resulting Numbers: [30] 30,15 unequal: No Solution Exploring Operation: 28-2=26, Resulting Numbers: [26] 26,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 15:[6, 32], Operations: ['96-62=34', '34-2=32'] Exploring Operation: 6+32=38, Resulting Numbers: [38] 38,15 unequal: No Solution Exploring Operation: 32-6=26, Resulting Numbers: [26] 26,15 unequal: No Solution Exploring Operation: 632=192, Resulting Numbers: [192] 192,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 15:[62, 2, 16], Operations: ['96/6=16'] Exploring Operation: 62-16=46, Resulting Numbers: [2, 46] Generated Node #0,2,0: 15:[2, 46] Operation: 62-16=46 Exploring Operation: 62/2=31, Resulting Numbers: [16, 31] Generated Node #0,2,1: 15:[16, 31] Operation: 62/2=31 Exploring Operation: 62-2=60, Resulting Numbers: [16, 60] Generated Node #0,2,2: 15:[16, 60] Operation: 62-2=60 Moving to Node #0,0 Current State: 15:[62, 6, 48], Operations: ['96/2=48'] Exploring Operation: 62-48=14, Resulting Numbers: [6, 14] Generated Node #0,0,0: 15:[6, 14] Operation: 62-48=14 Exploring Operation: 62-6=56, Resulting Numbers: [48, 56] Generated Node #0,0,1: 15:[48, 56] Operation: 62-6=56 Exploring Operation: 48/6=8, Resulting Numbers: [62, 8] Generated Node #0,0,2: 15:[62, 8] Operation: 48/6=8 Moving to Node #0,0,0 Current State: 15:[6, 14], Operations: ['96/2=48', '62-48=14'] Exploring Operation: 6*14=84, Resulting Numbers: [84] 84,15 unequal: No Solution Exploring Operation: 14-6=8, Resulting Numbers: [8] 8,15 unequal: No Solution Exploring Operation: 6+14=20, Resulting Numbers: [20] 20,15 unequal: No Solution Moving to Node #0,2,1 Current State: 15:[16, 31], Operations: ['96/6=16', '62/2=31'] Exploring Operation: 16+31=47, Resulting Numbers: [47] 47,15 unequal: No Solution Exploring Operation: 31-16=15, Resulting Numbers: [15] 15,15 equal: Goal Reached Moving to Node #0 Current State: 15:[96, 62, 6, 2], Operations: [] Exploring Operation: 96/6=16, Resulting Numbers: [62, 2, 16] Generated Node #0,2: 15:[62, 2, 16] Operation: 96/6=16 Moving to Node #0,2 Current State: 15:[62, 2, 16], Operations: ['96/6=16'] Exploring Operation: 62/2=31, Resulting Numbers: [16, 31] Generated Node #0,2,1: 15:[16, 31] Operation: 62/2=31 Moving to Node #0,2,1 Current State: 15:[16, 31], Operations: ['96/6=16', '62/2=31'] Exploring Operation: 31-16=15, Resulting Numbers: [15] 15,15 equal: Goal Reached	0.973958	hs_3	mult_heuristic
[ 11, 54, 1, 31 ]	73	[ "54-11=43", "31-1=30", "43+30=73" ]	Current State: 73:[11, 54, 1, 31], Operations: [] Exploring Operation: 54-11=43, Resulting Numbers: [1, 31, 43] Generated Node #2: [1, 31, 43] from Operation: 54-11=43 Current State: 73:[1, 31, 43], Operations: ['54-11=43'] Exploring Operation: 31-1=30, Resulting Numbers: [43, 30] Generated Node #3: [43, 30] from Operation: 31-1=30 Current State: 73:[43, 30], Operations: ['54-11=43', '31-1=30'] Exploring Operation: 43+30=73, Resulting Numbers: [73] 73,73 equal: Goal Reached	4	Current State: 73:[11, 54, 1, 31], Operations: [] Exploring Operation: 11+1=12, Resulting Numbers: [54, 31, 12] Generated Node #0,0: 73:[54, 31, 12] Operation: 11+1=12 Exploring Operation: 11+54=65, Resulting Numbers: [1, 31, 65] Generated Node #0,1: 73:[1, 31, 65] Operation: 11+54=65 Exploring Operation: 1+31=32, Resulting Numbers: [11, 54, 32] Generated Node #0,2: 73:[11, 54, 32] Operation: 1+31=32 Exploring Operation: 11+31=42, Resulting Numbers: [54, 1, 42] Generated Node #0,3: 73:[54, 1, 42] Operation: 11+31=42 Exploring Operation: 54+1=55, Resulting Numbers: [11, 31, 55] Generated Node #0,4: 73:[11, 31, 55] Operation: 54+1=55 Start Sub Search at level 1: Moving to Node #0,0 Current State: 73:[54, 31, 12], Operations: ['11+1=12'] Exploring Operation: 54-12=42, Resulting Numbers: [31, 42] Generated Node #0,0,0: 73:[31, 42] Operation: 54-12=42 Exploring Operation: 31+12=43, Resulting Numbers: [54, 43] Generated Node #0,0,1: 73:[54, 43] Operation: 31+12=43 Exploring Operation: 54+31=85, Resulting Numbers: [12, 85] Generated Node #0,0,2: 73:[12, 85] Operation: 54+31=85 Exploring Operation: 31-12=19, Resulting Numbers: [54, 19] Generated Node #0,0,3: 73:[54, 19] Operation: 31-12=19 Exploring Operation: 54+12=66, Resulting Numbers: [31, 66] Generated Node #0,0,4: 73:[31, 66] Operation: 54+12=66 Moving to Node #0,0,1 Current State: 73:[54, 43], Operations: ['11+1=12', '31+12=43'] Exploring Operation: 54-43=11, Resulting Numbers: [11] 11,73 unequal: No Solution Exploring Operation: 54+43=97, Resulting Numbers: [97] 97,73 unequal: No Solution Exploring Operation: 5443=2322, Resulting Numbers: [2322] 2322,73 unequal: No Solution Moving to Node #0,0,4 Current State: 73:[31, 66], Operations: ['11+1=12', '54+12=66'] Exploring Operation: 3166=2046, Resulting Numbers: [2046] 2046,73 unequal: No Solution Exploring Operation: 66-31=35, Resulting Numbers: [35] 35,73 unequal: No Solution Exploring Operation: 31+66=97, Resulting Numbers: [97] 97,73 unequal: No Solution Moving to Node #0,0,0 Current State: 73:[31, 42], Operations: ['11+1=12', '54-12=42'] Exploring Operation: 31+42=73, Resulting Numbers: [73] 73,73 equal: Goal Reached Moving to Node #0 Current State: 73:[11, 54, 1, 31], Operations: [] Exploring Operation: 11+1=12, Resulting Numbers: [54, 31, 12] Generated Node #0,0: 73:[54, 31, 12] Operation: 11+1=12 Moving to Node #0,0 Current State: 73:[54, 31, 12], Operations: ['11+1=12'] Exploring Operation: 54-12=42, Resulting Numbers: [31, 42] Generated Node #0,0,0: 73:[31, 42] Operation: 54-12=42 Moving to Node #0,0,0 Current State: 73:[31, 42], Operations: ['11+1=12', '54-12=42'] Exploring Operation: 31+42=73, Resulting Numbers: [73] 73,73 equal: Goal Reached Exit Sub Search at level 1	0.981771	hs_5	sum_heuristic
[ 83, 94, 9, 29 ]	49	[ "94-83=11", "9+29=38", "11+38=49" ]	Current State: 49:[83, 94, 9, 29], Operations: [] Exploring Operation: 94-83=11, Resulting Numbers: [9, 29, 11] Generated Node #2: [9, 29, 11] from Operation: 94-83=11 Current State: 49:[9, 29, 11], Operations: ['94-83=11'] Exploring Operation: 9+29=38, Resulting Numbers: [11, 38] Generated Node #3: [11, 38] from Operation: 9+29=38 Current State: 49:[11, 38], Operations: ['94-83=11', '9+29=38'] Exploring Operation: 11+38=49, Resulting Numbers: [49] 49,49 equal: Goal Reached	4	Current State: 49:[83, 94, 9, 29], Operations: [] Exploring Operation: 83-9=74, Resulting Numbers: [94, 29, 74] Generated Node #0,0: 49:[94, 29, 74] Operation: 83-9=74 Exploring Operation: 94-83=11, Resulting Numbers: [9, 29, 11] Generated Node #0,1: 49:[9, 29, 11] Operation: 94-83=11 Exploring Operation: 94-29=65, Resulting Numbers: [83, 9, 65] Generated Node #0,2: 49:[83, 9, 65] Operation: 94-29=65 Exploring Operation: 83-29=54, Resulting Numbers: [94, 9, 54] Generated Node #0,3: 49:[94, 9, 54] Operation: 83-29=54 Moving to Node #0,1 Current State: 49:[9, 29, 11], Operations: ['94-83=11'] Exploring Operation: 29-9=20, Resulting Numbers: [11, 20] Generated Node #0,1,0: 49:[11, 20] Operation: 29-9=20 Exploring Operation: 29+11=40, Resulting Numbers: [9, 40] Generated Node #0,1,1: 49:[9, 40] Operation: 29+11=40 Exploring Operation: 29-11=18, Resulting Numbers: [9, 18] Generated Node #0,1,2: 49:[9, 18] Operation: 29-11=18 Exploring Operation: 9+29=38, Resulting Numbers: [11, 38] Generated Node #0,1,3: 49:[11, 38] Operation: 9+29=38 Moving to Node #0,3 Current State: 49:[94, 9, 54], Operations: ['83-29=54'] Exploring Operation: 94-9=85, Resulting Numbers: [54, 85] Generated Node #0,3,0: 49:[54, 85] Operation: 94-9=85 Exploring Operation: 94-54=40, Resulting Numbers: [9, 40] Generated Node #0,3,1: 49:[9, 40] Operation: 94-54=40 Exploring Operation: 54/9=6, Resulting Numbers: [94, 6] Generated Node #0,3,2: 49:[94, 6] Operation: 54/9=6 Exploring Operation: 54-9=45, Resulting Numbers: [94, 45] Generated Node #0,3,3: 49:[94, 45] Operation: 54-9=45 Moving to Node #0,2 Current State: 49:[83, 9, 65], Operations: ['94-29=65'] Exploring Operation: 83-9=74, Resulting Numbers: [65, 74] Generated Node #0,2,0: 49:[65, 74] Operation: 83-9=74 Exploring Operation: 83-65=18, Resulting Numbers: [9, 18] Generated Node #0,2,1: 49:[9, 18] Operation: 83-65=18 Exploring Operation: 65-9=56, Resulting Numbers: [83, 56] Generated Node #0,2,2: 49:[83, 56] Operation: 65-9=56 Exploring Operation: 83+9=92, Resulting Numbers: [65, 92] Generated Node #0,2,3: 49:[65, 92] Operation: 83+9=92 Moving to Node #0,0 Current State: 49:[94, 29, 74], Operations: ['83-9=74'] Exploring Operation: 94-29=65, Resulting Numbers: [74, 65] Generated Node #0,0,0: 49:[74, 65] Operation: 94-29=65 Exploring Operation: 94+29=123, Resulting Numbers: [74, 123] Generated Node #0,0,1: 49:[74, 123] Operation: 94+29=123 Exploring Operation: 94-74=20, Resulting Numbers: [29, 20] Generated Node #0,0,2: 49:[29, 20] Operation: 94-74=20 Exploring Operation: 74-29=45, Resulting Numbers: [94, 45] Generated Node #0,0,3: 49:[94, 45] Operation: 74-29=45 Moving to Node #0,1,1 Current State: 49:[9, 40], Operations: ['94-83=11', '29+11=40'] Exploring Operation: 40-9=31, Resulting Numbers: [31] 31,49 unequal: No Solution Exploring Operation: 9+40=49, Resulting Numbers: [49] 49,49 equal: Goal Reached Moving to Node #0 Current State: 49:[83, 94, 9, 29], Operations: [] Exploring Operation: 94-83=11, Resulting Numbers: [9, 29, 11] Generated Node #0,1: 49:[9, 29, 11] Operation: 94-83=11 Moving to Node #0,1 Current State: 49:[9, 29, 11], Operations: ['94-83=11'] Exploring Operation: 29+11=40, Resulting Numbers: [9, 40] Generated Node #0,1,1: 49:[9, 40] Operation: 29+11=40 Moving to Node #0,1,1 Current State: 49:[9, 40], Operations: ['94-83=11', '29+11=40'] Exploring Operation: 9+40=49, Resulting Numbers: [49] 49,49 equal: Goal Reached	0.977431	hs_4	sum_heuristic
[ 59, 54, 25, 32 ]	23	[ "59-32=27", "54/27=2", "25-2=23" ]	Current State: 23:[59, 54, 25, 32], Operations: [] Exploring Operation: 59-32=27, Resulting Numbers: [54, 25, 27] Generated Node #2: [54, 25, 27] from Operation: 59-32=27 Current State: 23:[54, 25, 27], Operations: ['59-32=27'] Exploring Operation: 54/27=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 54/27=2 Current State: 23:[25, 2], Operations: ['59-32=27', '54/27=2'] Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached	4	Current State: 23:[59, 54, 25, 32], Operations: [] Exploring Operation: 59-54=5, Resulting Numbers: [25, 32, 5] Generated Node #0,0: 23:[25, 32, 5] Operation: 59-54=5 Start Sub Search at level 1: Moving to Node #0,0 Current State: 23:[25, 32, 5], Operations: ['59-54=5'] Exploring Operation: 32-5=27, Resulting Numbers: [25, 27] Generated Node #0,0,0: 23:[25, 27] Operation: 32-5=27 Moving to Node #0,0,0 Current State: 23:[25, 27], Operations: ['59-54=5', '32-5=27'] Exploring Operation: 27-25=2, Resulting Numbers: [2] 2,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 81, 5, 34, 27 ]	49	[ "81*5=405", "405/27=15", "34+15=49" ]	Current State: 49:[81, 5, 34, 27], Operations: [] Exploring Operation: 815=405, Resulting Numbers: [34, 27, 405] Generated Node #2: [34, 27, 405] from Operation: 815=405 Current State: 49:[34, 27, 405], Operations: ['815=405'] Exploring Operation: 405/27=15, Resulting Numbers: [34, 15] Generated Node #3: [34, 15] from Operation: 405/27=15 Current State: 49:[34, 15], Operations: ['815=405', '405/27=15'] Exploring Operation: 34+15=49, Resulting Numbers: [49] 49,49 equal: Goal Reached	4	Current State: 49:[81, 5, 34, 27], Operations: [] Exploring Operation: 81/27=3, Resulting Numbers: [5, 34, 3] Generated Node #0,0: 49:[5, 34, 3] Operation: 81/27=3 Moving to Node #0,0 Current State: 49:[5, 34, 3], Operations: ['81/27=3'] Exploring Operation: 5+34=39, Resulting Numbers: [3, 39] Generated Node #0,0,0: 49:[3, 39] Operation: 5+34=39 Moving to Node #0,0,0 Current State: 49:[3, 39], Operations: ['81/27=3', '5+34=39'] Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,49 unequal: No Solution No solution found.	0	hs_1	mult_heuristic
[ 1, 78, 58, 55 ]	76	[ "1+78=79", "58-55=3", "79-3=76" ]	Current State: 76:[1, 78, 58, 55], Operations: [] Exploring Operation: 1+78=79, Resulting Numbers: [58, 55, 79] Generated Node #2: [58, 55, 79] from Operation: 1+78=79 Current State: 76:[58, 55, 79], Operations: ['1+78=79'] Exploring Operation: 58-55=3, Resulting Numbers: [79, 3] Generated Node #3: [79, 3] from Operation: 58-55=3 Current State: 76:[79, 3], Operations: ['1+78=79', '58-55=3'] Exploring Operation: 79-3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached	4	Current State: 76:[1, 78, 58, 55], Operations: [] Exploring Operation: 58-55=3, Resulting Numbers: [1, 78, 3] Generated Node #0,0: 76:[1, 78, 3] Operation: 58-55=3 Moving to Node #0,0 Current State: 76:[1, 78, 3], Operations: ['58-55=3'] Exploring Operation: 78-1=77, Resulting Numbers: [3, 77] Generated Node #0,0,0: 76:[3, 77] Operation: 78-1=77 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 76:[3, 77], Operations: ['58-55=3', '78-1=77'] Exploring Operation: 77-3=74, Resulting Numbers: [74] 74,76 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 12, 16, 4, 41 ]	17	[ "12+16=28", "4+41=45", "45-28=17" ]	Current State: 17:[12, 16, 4, 41], Operations: [] Exploring Operation: 12+16=28, Resulting Numbers: [4, 41, 28] Generated Node #2: [4, 41, 28] from Operation: 12+16=28 Current State: 17:[4, 41, 28], Operations: ['12+16=28'] Exploring Operation: 4+41=45, Resulting Numbers: [28, 45] Generated Node #3: [28, 45] from Operation: 4+41=45 Current State: 17:[28, 45], Operations: ['12+16=28', '4+41=45'] Exploring Operation: 45-28=17, Resulting Numbers: [17] 17,17 equal: Goal Reached	4	Current State: 17:[12, 16, 4, 41], Operations: [] Exploring Operation: 41-4=37, Resulting Numbers: [12, 16, 37] Generated Node #0,0: 17:[12, 16, 37] Operation: 41-4=37 Exploring Operation: 41-16=25, Resulting Numbers: [12, 4, 25] Generated Node #0,1: 17:[12, 4, 25] Operation: 41-16=25 Exploring Operation: 12+4=16, Resulting Numbers: [16, 41, 16] Generated Node #0,2: 17:[16, 41, 16] Operation: 12+4=16 Exploring Operation: 41-12=29, Resulting Numbers: [16, 4, 29] Generated Node #0,3: 17:[16, 4, 29] Operation: 41-12=29 Exploring Operation: 16+4=20, Resulting Numbers: [12, 41, 20] Generated Node #0,4: 17:[12, 41, 20] Operation: 16+4=20 Start Sub Search at level 1: Moving to Node #0,0 Current State: 17:[12, 16, 37], Operations: ['41-4=37'] Exploring Operation: 12+16=28, Resulting Numbers: [37, 28] Generated Node #0,0,0: 17:[37, 28] Operation: 12+16=28 Exploring Operation: 37-16=21, Resulting Numbers: [12, 21] Generated Node #0,0,1: 17:[12, 21] Operation: 37-16=21 Exploring Operation: 16-12=4, Resulting Numbers: [37, 4] Generated Node #0,0,2: 17:[37, 4] Operation: 16-12=4 Exploring Operation: 37-12=25, Resulting Numbers: [16, 25] Generated Node #0,0,3: 17:[16, 25] Operation: 37-12=25 Exploring Operation: 12+37=49, Resulting Numbers: [16, 49] Generated Node #0,0,4: 17:[16, 49] Operation: 12+37=49 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 17:[12, 21], Operations: ['41-4=37', '37-16=21'] Exploring Operation: 21-12=9, Resulting Numbers: [9] 9,17 unequal: No Solution Exploring Operation: 12+21=33, Resulting Numbers: [33] 33,17 unequal: No Solution Exploring Operation: 1221=252, Resulting Numbers: [252] 252,17 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 17:[16, 25], Operations: ['41-4=37', '37-12=25'] Exploring Operation: 16+25=41, Resulting Numbers: [41] 41,17 unequal: No Solution Exploring Operation: 1625=400, Resulting Numbers: [400] 400,17 unequal: No Solution Exploring Operation: 25-16=9, Resulting Numbers: [9] 9,17 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 17:[37, 28], Operations: ['41-4=37', '12+16=28'] Exploring Operation: 3728=1036, Resulting Numbers: [1036] 1036,17 unequal: No Solution Exploring Operation: 37-28=9, Resulting Numbers: [9] 9,17 unequal: No Solution Exploring Operation: 37+28=65, Resulting Numbers: [65] 65,17 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 17:[37, 4], Operations: ['41-4=37', '16-12=4'] Exploring Operation: 37+4=41, Resulting Numbers: [41] 41,17 unequal: No Solution Exploring Operation: 374=148, Resulting Numbers: [148] 148,17 unequal: No Solution Exploring Operation: 37-4=33, Resulting Numbers: [33] 33,17 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,4 Current State: 17:[16, 49], Operations: ['41-4=37', '12+37=49'] Exploring Operation: 16+49=65, Resulting Numbers: [65] 65,17 unequal: No Solution Exploring Operation: 1649=784, Resulting Numbers: [784] 784,17 unequal: No Solution Exploring Operation: 49-16=33, Resulting Numbers: [33] 33,17 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 17:[12, 4, 25], Operations: ['41-16=25'] Exploring Operation: 4+25=29, Resulting Numbers: [12, 29] Generated Node #0,1,0: 17:[12, 29] Operation: 4+25=29 Exploring Operation: 12-4=8, Resulting Numbers: [25, 8] Generated Node #0,1,1: 17:[25, 8] Operation: 12-4=8 Exploring Operation: 25-4=21, Resulting Numbers: [12, 21] Generated Node #0,1,2: 17:[12, 21] Operation: 25-4=21 Exploring Operation: 12+4=16, Resulting Numbers: [25, 16] Generated Node #0,1,3: 17:[25, 16] Operation: 12+4=16 Exploring Operation: 25-12=13, Resulting Numbers: [4, 13] Generated Node #0,1,4: 17:[4, 13] Operation: 25-12=13 Moving to Node #0,1,2 Current State: 17:[12, 21], Operations: ['41-16=25', '25-4=21'] Exploring Operation: 12+21=33, Resulting Numbers: [33] 33,17 unequal: No Solution Exploring Operation: 21-12=9, Resulting Numbers: [9] 9,17 unequal: No Solution Exploring Operation: 1221=252, Resulting Numbers: [252] 252,17 unequal: No Solution Moving to Node #0,1,3 Current State: 17:[25, 16], Operations: ['41-16=25', '12+4=16'] Exploring Operation: 25*16=400, Resulting Numbers: [400] 400,17 unequal: No Solution Exploring Operation: 25-16=9, Resulting Numbers: [9] 9,17 unequal: No Solution Exploring Operation: 25+16=41, Resulting Numbers: [41] 41,17 unequal: No Solution Moving to Node #0,1,0 Current State: 17:[12, 29], Operations: ['41-16=25', '4+25=29'] Exploring Operation: 12+29=41, Resulting Numbers: [41] 41,17 unequal: No Solution Exploring Operation: 29-12=17, Resulting Numbers: [17] 17,17 equal: Goal Reached Moving to Node #0 Current State: 17:[12, 16, 4, 41], Operations: [] Exploring Operation: 41-16=25, Resulting Numbers: [12, 4, 25] Generated Node #0,1: 17:[12, 4, 25] Operation: 41-16=25 Moving to Node #0,1 Current State: 17:[12, 4, 25], Operations: ['41-16=25'] Exploring Operation: 4+25=29, Resulting Numbers: [12, 29] Generated Node #0,1,0: 17:[12, 29] Operation: 4+25=29 Moving to Node #0,1,0 Current State: 17:[12, 29], Operations: ['41-16=25', '4+25=29'] Exploring Operation: 29-12=17, Resulting Numbers: [17] 17,17 equal: Goal Reached Exit Sub Search at level 1	0.963542	hs_5	mult_heuristic
[ 8, 23, 75, 23 ]	71	[ "875=600", "2323=529", "600-529=71" ]	Current State: 71:[8, 23, 75, 23], Operations: [] Exploring Operation: 875=600, Resulting Numbers: [23, 23, 600] Generated Node #2: [23, 23, 600] from Operation: 875=600 Current State: 71:[23, 23, 600], Operations: ['875=600'] Exploring Operation: 2323=529, Resulting Numbers: [600, 529] Generated Node #3: [600, 529] from Operation: 2323=529 Current State: 71:[600, 529], Operations: ['875=600', '23*23=529'] Exploring Operation: 600-529=71, Resulting Numbers: [71] 71,71 equal: Goal Reached	4	Current State: 71:[8, 23, 75, 23], Operations: [] Exploring Operation: 8+23=31, Resulting Numbers: [23, 75, 31] Generated Node #0,0: 71:[23, 75, 31] Operation: 8+23=31 Exploring Operation: 23+23=46, Resulting Numbers: [8, 75, 46] Generated Node #0,1: 71:[8, 75, 46] Operation: 23+23=46 Exploring Operation: 8+23=31, Resulting Numbers: [75, 23, 31] Generated Node #0,2: 71:[75, 23, 31] Operation: 8+23=31 Exploring Operation: 75-8=67, Resulting Numbers: [23, 23, 67] Generated Node #0,3: 71:[23, 23, 67] Operation: 75-8=67 Start Sub Search at level 1: Moving to Node #0,0 Current State: 71:[23, 75, 31], Operations: ['8+23=31'] Exploring Operation: 31-23=8, Resulting Numbers: [75, 8] Generated Node #0,0,0: 71:[75, 8] Operation: 31-23=8 Exploring Operation: 23+75=98, Resulting Numbers: [31, 98] Generated Node #0,0,1: 71:[31, 98] Operation: 23+75=98 Exploring Operation: 75-23=52, Resulting Numbers: [31, 52] Generated Node #0,0,2: 71:[31, 52] Operation: 75-23=52 Exploring Operation: 23+31=54, Resulting Numbers: [75, 54] Generated Node #0,0,3: 71:[75, 54] Operation: 23+31=54 Moving to Node #0,0,3 Current State: 71:[75, 54], Operations: ['8+23=31', '23+31=54'] Exploring Operation: 75+54=129, Resulting Numbers: [129] 129,71 unequal: No Solution Exploring Operation: 7554=4050, Resulting Numbers: [4050] 4050,71 unequal: No Solution Exploring Operation: 75-54=21, Resulting Numbers: [21] 21,71 unequal: No Solution Moving to Node #0,0,2 Current State: 71:[31, 52], Operations: ['8+23=31', '75-23=52'] Exploring Operation: 31+52=83, Resulting Numbers: [83] 83,71 unequal: No Solution Exploring Operation: 52-31=21, Resulting Numbers: [21] 21,71 unequal: No Solution Exploring Operation: 3152=1612, Resulting Numbers: [1612] 1612,71 unequal: No Solution Moving to Node #0,0,1 Current State: 71:[31, 98], Operations: ['8+23=31', '23+75=98'] Exploring Operation: 3198=3038, Resulting Numbers: [3038] 3038,71 unequal: No Solution Exploring Operation: 98-31=67, Resulting Numbers: [67] 67,71 unequal: No Solution Exploring Operation: 31+98=129, Resulting Numbers: [129] 129,71 unequal: No Solution Moving to Node #0,0,0 Current State: 71:[75, 8], Operations: ['8+23=31', '31-23=8'] Exploring Operation: 758=600, Resulting Numbers: [600] 600,71 unequal: No Solution Exploring Operation: 75-8=67, Resulting Numbers: [67] 67,71 unequal: No Solution Exploring Operation: 75+8=83, Resulting Numbers: [83] 83,71 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 71:[8, 75, 46], Operations: ['23+23=46'] Exploring Operation: 75-8=67, Resulting Numbers: [46, 67] Generated Node #0,1,0: 71:[46, 67] Operation: 75-8=67 Exploring Operation: 46-8=38, Resulting Numbers: [75, 38] Generated Node #0,1,1: 71:[75, 38] Operation: 46-8=38 Exploring Operation: 8+46=54, Resulting Numbers: [75, 54] Generated Node #0,1,2: 71:[75, 54] Operation: 8+46=54 Exploring Operation: 8+75=83, Resulting Numbers: [46, 83] Generated Node #0,1,3: 71:[46, 83] Operation: 8+75=83 Moving to Node #0,1,2 Current State: 71:[75, 54], Operations: ['23+23=46', '8+46=54'] Exploring Operation: 75-54=21, Resulting Numbers: [21] 21,71 unequal: No Solution Exploring Operation: 7554=4050, Resulting Numbers: [4050] 4050,71 unequal: No Solution Exploring Operation: 75+54=129, Resulting Numbers: [129] 129,71 unequal: No Solution Moving to Node #0,1,0 Current State: 71:[46, 67], Operations: ['23+23=46', '75-8=67'] Exploring Operation: 46+67=113, Resulting Numbers: [113] 113,71 unequal: No Solution Exploring Operation: 67-46=21, Resulting Numbers: [21] 21,71 unequal: No Solution Exploring Operation: 4667=3082, Resulting Numbers: [3082] 3082,71 unequal: No Solution Moving to Node #0,1,3 Current State: 71:[46, 83], Operations: ['23+23=46', '8+75=83'] Exploring Operation: 83-46=37, Resulting Numbers: [37] 37,71 unequal: No Solution Exploring Operation: 4683=3818, Resulting Numbers: [3818] 3818,71 unequal: No Solution Exploring Operation: 46+83=129, Resulting Numbers: [129] 129,71 unequal: No Solution Moving to Node #0,1,1 Current State: 71:[75, 38], Operations: ['23+23=46', '46-8=38'] Exploring Operation: 75-38=37, Resulting Numbers: [37] 37,71 unequal: No Solution Exploring Operation: 75+38=113, Resulting Numbers: [113] 113,71 unequal: No Solution Exploring Operation: 7538=2850, Resulting Numbers: [2850] 2850,71 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 71:[75, 23, 31], Operations: ['8+23=31'] Exploring Operation: 31-23=8, Resulting Numbers: [75, 8] Generated Node #0,2,0: 71:[75, 8] Operation: 31-23=8 Exploring Operation: 23+31=54, Resulting Numbers: [75, 54] Generated Node #0,2,1: 71:[75, 54] Operation: 23+31=54 Exploring Operation: 75-23=52, Resulting Numbers: [31, 52] Generated Node #0,2,2: 71:[31, 52] Operation: 75-23=52 Exploring Operation: 75+23=98, Resulting Numbers: [31, 98] Generated Node #0,2,3: 71:[31, 98] Operation: 75+23=98 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 71:[75, 54], Operations: ['8+23=31', '23+31=54'] Exploring Operation: 7554=4050, Resulting Numbers: [4050] 4050,71 unequal: No Solution Exploring Operation: 75-54=21, Resulting Numbers: [21] 21,71 unequal: No Solution Exploring Operation: 75+54=129, Resulting Numbers: [129] 129,71 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 71:[31, 52], Operations: ['8+23=31', '75-23=52'] Exploring Operation: 31+52=83, Resulting Numbers: [83] 83,71 unequal: No Solution Exploring Operation: 52-31=21, Resulting Numbers: [21] 21,71 unequal: No Solution Exploring Operation: 3152=1612, Resulting Numbers: [1612] 1612,71 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 71:[75, 8], Operations: ['8+23=31', '31-23=8'] Exploring Operation: 758=600, Resulting Numbers: [600] 600,71 unequal: No Solution Exploring Operation: 75+8=83, Resulting Numbers: [83] 83,71 unequal: No Solution Exploring Operation: 75-8=67, Resulting Numbers: [67] 67,71 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 71:[31, 98], Operations: ['8+23=31', '75+23=98'] Exploring Operation: 3198=3038, Resulting Numbers: [3038] 3038,71 unequal: No Solution Exploring Operation: 98-31=67, Resulting Numbers: [67] 67,71 unequal: No Solution Exploring Operation: 31+98=129, Resulting Numbers: [129] 129,71 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 71:[23, 23, 67], Operations: ['75-8=67'] Exploring Operation: 23+67=90, Resulting Numbers: [23, 90] Generated Node #0,3,0: 71:[23, 90] Operation: 23+67=90 Exploring Operation: 23+23=46, Resulting Numbers: [67, 46] Generated Node #0,3,1: 71:[67, 46] Operation: 23+23=46 Exploring Operation: 23+67=90, Resulting Numbers: [23, 90] Generated Node #0,3,2: 71:[23, 90] Operation: 23+67=90 Exploring Operation: 23/23=1, Resulting Numbers: [67, 1] Generated Node #0,3,3: 71:[67, 1] Operation: 23/23=1 Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 71:[67, 46], Operations: ['75-8=67', '23+23=46'] Exploring Operation: 6746=3082, Resulting Numbers: [3082] 3082,71 unequal: No Solution Exploring Operation: 67-46=21, Resulting Numbers: [21] 21,71 unequal: No Solution Exploring Operation: 67+46=113, Resulting Numbers: [113] 113,71 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 71:[23, 90], Operations: ['75-8=67', '23+67=90'] Exploring Operation: 23+90=113, Resulting Numbers: [113] 113,71 unequal: No Solution Exploring Operation: 90-23=67, Resulting Numbers: [67] 67,71 unequal: No Solution Exploring Operation: 2390=2070, Resulting Numbers: [2070] 2070,71 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 71:[23, 90], Operations: ['75-8=67', '23+67=90'] Exploring Operation: 2390=2070, Resulting Numbers: [2070] 2070,71 unequal: No Solution Exploring Operation: 90-23=67, Resulting Numbers: [67] 67,71 unequal: No Solution Exploring Operation: 23+90=113, Resulting Numbers: [113] 113,71 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 71:[67, 1], Operations: ['75-8=67', '23/23=1'] Exploring Operation: 67+1=68, Resulting Numbers: [68] 68,71 unequal: No Solution Exploring Operation: 671=67, Resulting Numbers: [67] 67,71 unequal: No Solution Exploring Operation: 67-1=66, Resulting Numbers: [66] 66,71 unequal: No Solution Exploring Operation: 67/1=67, Resulting Numbers: [67] 67,71 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_4	mult_heuristic
[ 30, 10, 29, 56 ]	81	[ "30/10=3", "56-29=27", "3*27=81" ]	Current State: 81:[30, 10, 29, 56], Operations: [] Exploring Operation: 30/10=3, Resulting Numbers: [29, 56, 3] Generated Node #2: [29, 56, 3] from Operation: 30/10=3 Current State: 81:[29, 56, 3], Operations: ['30/10=3'] Exploring Operation: 56-29=27, Resulting Numbers: [3, 27] Generated Node #3: [3, 27] from Operation: 56-29=27 Current State: 81:[3, 27], Operations: ['30/10=3', '56-29=27'] Exploring Operation: 3*27=81, Resulting Numbers: [81] 81,81 equal: Goal Reached	4	Current State: 81:[30, 10, 29, 56], Operations: [] Exploring Operation: 10+56=66, Resulting Numbers: [30, 29, 66] Generated Node #0,0: 81:[30, 29, 66] Operation: 10+56=66 Exploring Operation: 29+56=85, Resulting Numbers: [30, 10, 85] Generated Node #0,1: 81:[30, 10, 85] Operation: 29+56=85 Exploring Operation: 56-29=27, Resulting Numbers: [30, 10, 27] Generated Node #0,2: 81:[30, 10, 27] Operation: 56-29=27 Exploring Operation: 30+56=86, Resulting Numbers: [10, 29, 86] Generated Node #0,3: 81:[10, 29, 86] Operation: 30+56=86 Exploring Operation: 56-30=26, Resulting Numbers: [10, 29, 26] Generated Node #0,4: 81:[10, 29, 26] Operation: 56-30=26 Moving to Node #0,2 Current State: 81:[30, 10, 27], Operations: ['56-29=27'] Exploring Operation: 30-27=3, Resulting Numbers: [10, 3] Generated Node #0,2,0: 81:[10, 3] Operation: 30-27=3 Exploring Operation: 30+10=40, Resulting Numbers: [27, 40] Generated Node #0,2,1: 81:[27, 40] Operation: 30+10=40 Exploring Operation: 30-10=20, Resulting Numbers: [27, 20] Generated Node #0,2,2: 81:[27, 20] Operation: 30-10=20 Exploring Operation: 27-10=17, Resulting Numbers: [30, 17] Generated Node #0,2,3: 81:[30, 17] Operation: 27-10=17 Exploring Operation: 30/10=3, Resulting Numbers: [27, 3] Generated Node #0,2,4: 81:[27, 3] Operation: 30/10=3 Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 81:[27, 3], Operations: ['56-29=27', '30/10=3'] Exploring Operation: 27/3=9, Resulting Numbers: [9] 9,81 unequal: No Solution Exploring Operation: 27+3=30, Resulting Numbers: [30] 30,81 unequal: No Solution Exploring Operation: 273=81, Resulting Numbers: [81] 81,81 equal: Goal Reached Moving to Node #0 Current State: 81:[30, 10, 29, 56], Operations: [] Exploring Operation: 56-29=27, Resulting Numbers: [30, 10, 27] Generated Node #0,2: 81:[30, 10, 27] Operation: 56-29=27 Moving to Node #0,2 Current State: 81:[30, 10, 27], Operations: ['56-29=27'] Exploring Operation: 30/10=3, Resulting Numbers: [27, 3] Generated Node #0,2,4: 81:[27, 3] Operation: 30/10=3 Moving to Node #0,2,4 Current State: 81:[27, 3], Operations: ['56-29=27', '30/10=3'] Exploring Operation: 273=81, Resulting Numbers: [81] 81,81 equal: Goal Reached Exit Sub Search at level 1	0.985243	hs_5	mult_heuristic
[ 40, 41, 43, 27 ]	69	[ "41-40=1", "43+27=70", "70-1=69" ]	Current State: 69:[40, 41, 43, 27], Operations: [] Exploring Operation: 41-40=1, Resulting Numbers: [43, 27, 1] Generated Node #2: [43, 27, 1] from Operation: 41-40=1 Current State: 69:[43, 27, 1], Operations: ['41-40=1'] Exploring Operation: 43+27=70, Resulting Numbers: [1, 70] Generated Node #3: [1, 70] from Operation: 43+27=70 Current State: 69:[1, 70], Operations: ['41-40=1', '43+27=70'] Exploring Operation: 70-1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached	4	Current State: 69:[40, 41, 43, 27], Operations: [] Exploring Operation: 43-40=3, Resulting Numbers: [41, 27, 3] Generated Node #0,0: 69:[41, 27, 3] Operation: 43-40=3 Exploring Operation: 43-41=2, Resulting Numbers: [40, 27, 2] Generated Node #0,1: 69:[40, 27, 2] Operation: 43-41=2 Exploring Operation: 41-40=1, Resulting Numbers: [43, 27, 1] Generated Node #0,2: 69:[43, 27, 1] Operation: 41-40=1 Exploring Operation: 40+41=81, Resulting Numbers: [43, 27, 81] Generated Node #0,3: 69:[43, 27, 81] Operation: 40+41=81 Start Sub Search at level 1: Moving to Node #0,0 Current State: 69:[41, 27, 3], Operations: ['43-40=3'] Exploring Operation: 27-3=24, Resulting Numbers: [41, 24] Generated Node #0,0,0: 69:[41, 24] Operation: 27-3=24 Exploring Operation: 41-27=14, Resulting Numbers: [3, 14] Generated Node #0,0,1: 69:[3, 14] Operation: 41-27=14 Exploring Operation: 41-3=38, Resulting Numbers: [27, 38] Generated Node #0,0,2: 69:[27, 38] Operation: 41-3=38 Exploring Operation: 41+27=68, Resulting Numbers: [3, 68] Generated Node #0,0,3: 69:[3, 68] Operation: 41+27=68 Moving to Node #0,0,3 Current State: 69:[3, 68], Operations: ['43-40=3', '41+27=68'] Exploring Operation: 368=204, Resulting Numbers: [204] 204,69 unequal: No Solution Exploring Operation: 3+68=71, Resulting Numbers: [71] 71,69 unequal: No Solution Exploring Operation: 68-3=65, Resulting Numbers: [65] 65,69 unequal: No Solution Moving to Node #0,0,1 Current State: 69:[3, 14], Operations: ['43-40=3', '41-27=14'] Exploring Operation: 14-3=11, Resulting Numbers: [11] 11,69 unequal: No Solution Exploring Operation: 3+14=17, Resulting Numbers: [17] 17,69 unequal: No Solution Exploring Operation: 314=42, Resulting Numbers: [42] 42,69 unequal: No Solution Moving to Node #0,0,2 Current State: 69:[27, 38], Operations: ['43-40=3', '41-3=38'] Exploring Operation: 2738=1026, Resulting Numbers: [1026] 1026,69 unequal: No Solution Exploring Operation: 27+38=65, Resulting Numbers: [65] 65,69 unequal: No Solution Exploring Operation: 38-27=11, Resulting Numbers: [11] 11,69 unequal: No Solution Moving to Node #0,0,0 Current State: 69:[41, 24], Operations: ['43-40=3', '27-3=24'] Exploring Operation: 41-24=17, Resulting Numbers: [17] 17,69 unequal: No Solution Exploring Operation: 41+24=65, Resulting Numbers: [65] 65,69 unequal: No Solution Exploring Operation: 4124=984, Resulting Numbers: [984] 984,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 69:[40, 27, 2], Operations: ['43-41=2'] Exploring Operation: 40+27=67, Resulting Numbers: [2, 67] Generated Node #0,1,0: 69:[2, 67] Operation: 40+27=67 Exploring Operation: 40-27=13, Resulting Numbers: [2, 13] Generated Node #0,1,1: 69:[2, 13] Operation: 40-27=13 Exploring Operation: 40/2=20, Resulting Numbers: [27, 20] Generated Node #0,1,2: 69:[27, 20] Operation: 40/2=20 Exploring Operation: 402=80, Resulting Numbers: [27, 80] Generated Node #0,1,3: 69:[27, 80] Operation: 402=80 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 69:[2, 67], Operations: ['43-41=2', '40+27=67'] Exploring Operation: 2*67=134, Resulting Numbers: [134] 134,69 unequal: No Solution Exploring Operation: 2+67=69, Resulting Numbers: [69] 69,69 equal: Goal Reached Moving to Node #0 Current State: 69:[40, 41, 43, 27], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [40, 27, 2] Generated Node #0,1: 69:[40, 27, 2] Operation: 43-41=2 Moving to Node #0,1 Current State: 69:[40, 27, 2], Operations: ['43-41=2'] Exploring Operation: 40+27=67, Resulting Numbers: [2, 67] Generated Node #0,1,0: 69:[2, 67] Operation: 40+27=67 Moving to Node #0,1,0 Current State: 69:[2, 67], Operations: ['43-41=2', '40+27=67'] Exploring Operation: 2+67=69, Resulting Numbers: [69] 69,69 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.973958	hs_4	sum_heuristic
[ 80, 17, 27, 4 ]	10	[ "80/4=20", "27-17=10", "20-10=10" ]	Current State: 10:[80, 17, 27, 4], Operations: [] Exploring Operation: 80/4=20, Resulting Numbers: [17, 27, 20] Generated Node #2: [17, 27, 20] from Operation: 80/4=20 Current State: 10:[17, 27, 20], Operations: ['80/4=20'] Exploring Operation: 27-17=10, Resulting Numbers: [20, 10] Generated Node #3: [20, 10] from Operation: 27-17=10 Current State: 10:[20, 10], Operations: ['80/4=20', '27-17=10'] Exploring Operation: 20-10=10, Resulting Numbers: [10] 10,10 equal: Goal Reached	4	Current State: 10:[80, 17, 27, 4], Operations: [] Exploring Operation: 80/4=20, Resulting Numbers: [17, 27, 20] Generated Node #0,0: 10:[17, 27, 20] Operation: 80/4=20 Exploring Operation: 80-27=53, Resulting Numbers: [17, 4, 53] Generated Node #0,1: 10:[17, 4, 53] Operation: 80-27=53 Moving to Node #0,0 Current State: 10:[17, 27, 20], Operations: ['80/4=20'] Exploring Operation: 27-17=10, Resulting Numbers: [20, 10] Generated Node #0,0,0: 10:[20, 10] Operation: 27-17=10 Exploring Operation: 27-20=7, Resulting Numbers: [17, 7] Generated Node #0,0,1: 10:[17, 7] Operation: 27-20=7 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 10:[17, 7], Operations: ['80/4=20', '27-20=7'] Exploring Operation: 17+7=24, Resulting Numbers: [24] 24,10 unequal: No Solution Exploring Operation: 17-7=10, Resulting Numbers: [10] 10,10 equal: Goal Reached Moving to Node #0 Current State: 10:[80, 17, 27, 4], Operations: [] Exploring Operation: 80/4=20, Resulting Numbers: [17, 27, 20] Generated Node #0,0: 10:[17, 27, 20] Operation: 80/4=20 Moving to Node #0,0 Current State: 10:[17, 27, 20], Operations: ['80/4=20'] Exploring Operation: 27-20=7, Resulting Numbers: [17, 7] Generated Node #0,0,1: 10:[17, 7] Operation: 27-20=7 Moving to Node #0,0,1 Current State: 10:[17, 7], Operations: ['80/4=20', '27-20=7'] Exploring Operation: 17-7=10, Resulting Numbers: [10] 10,10 equal: Goal Reached Exit Sub Search at level 1	0.991319	hs_2	sum_heuristic
[ 66, 94, 14, 3 ]	100	[ "14-3=11", "66/11=6", "94+6=100" ]	Current State: 100:[66, 94, 14, 3], Operations: [] Exploring Operation: 14-3=11, Resulting Numbers: [66, 94, 11] Generated Node #2: [66, 94, 11] from Operation: 14-3=11 Current State: 100:[66, 94, 11], Operations: ['14-3=11'] Exploring Operation: 66/11=6, Resulting Numbers: [94, 6] Generated Node #3: [94, 6] from Operation: 66/11=6 Current State: 100:[94, 6], Operations: ['14-3=11', '66/11=6'] Exploring Operation: 94+6=100, Resulting Numbers: [100] 100,100 equal: Goal Reached	4	Current State: 100:[66, 94, 14, 3], Operations: [] Exploring Operation: 66-14=52, Resulting Numbers: [94, 3, 52] Generated Node #0,0: 100:[94, 3, 52] Operation: 66-14=52 Exploring Operation: 94-66=28, Resulting Numbers: [14, 3, 28] Generated Node #0,1: 100:[14, 3, 28] Operation: 94-66=28 Start Sub Search at level 1: Moving to Node #0,1 Current State: 100:[14, 3, 28], Operations: ['94-66=28'] Exploring Operation: 14-3=11, Resulting Numbers: [28, 11] Generated Node #0,1,0: 100:[28, 11] Operation: 14-3=11 Exploring Operation: 28/14=2, Resulting Numbers: [3, 2] Generated Node #0,1,1: 100:[3, 2] Operation: 28/14=2 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 100:[3, 2], Operations: ['94-66=28', '28/14=2'] Exploring Operation: 3+2=5, Resulting Numbers: [5] 5,100 unequal: No Solution Exploring Operation: 3*2=6, Resulting Numbers: [6] 6,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 100:[28, 11], Operations: ['94-66=28', '14-3=11'] Exploring Operation: 28-11=17, Resulting Numbers: [17] 17,100 unequal: No Solution Exploring Operation: 28+11=39, Resulting Numbers: [39] 39,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 100:[94, 3, 52], Operations: ['66-14=52'] Exploring Operation: 94+3=97, Resulting Numbers: [52, 97] Generated Node #0,0,0: 100:[52, 97] Operation: 94+3=97 Exploring Operation: 52-3=49, Resulting Numbers: [94, 49] Generated Node #0,0,1: 100:[94, 49] Operation: 52-3=49 Moving to Node #0,0,0 Current State: 100:[52, 97], Operations: ['66-14=52', '94+3=97'] Exploring Operation: 97-52=45, Resulting Numbers: [45] 45,100 unequal: No Solution Exploring Operation: 52+97=149, Resulting Numbers: [149] 149,100 unequal: No Solution Moving to Node #0,0,1 Current State: 100:[94, 49], Operations: ['66-14=52', '52-3=49'] Exploring Operation: 94+49=143, Resulting Numbers: [143] 143,100 unequal: No Solution Exploring Operation: 94-49=45, Resulting Numbers: [45] 45,100 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	mult_heuristic
[ 70, 24, 47, 27 ]	84	[ "70*24=1680", "47-27=20", "1680/20=84" ]	Current State: 84:[70, 24, 47, 27], Operations: [] Exploring Operation: 7024=1680, Resulting Numbers: [47, 27, 1680] Generated Node #2: [47, 27, 1680] from Operation: 7024=1680 Current State: 84:[47, 27, 1680], Operations: ['7024=1680'] Exploring Operation: 47-27=20, Resulting Numbers: [1680, 20] Generated Node #3: [1680, 20] from Operation: 47-27=20 Current State: 84:[1680, 20], Operations: ['7024=1680', '47-27=20'] Exploring Operation: 1680/20=84, Resulting Numbers: [84] 84,84 equal: Goal Reached	4	Current State: 84:[70, 24, 47, 27], Operations: [] Exploring Operation: 70-47=23, Resulting Numbers: [24, 27, 23] Generated Node #0,0: 84:[24, 27, 23] Operation: 70-47=23 Moving to Node #0,0 Current State: 84:[24, 27, 23], Operations: ['70-47=23'] Exploring Operation: 27-24=3, Resulting Numbers: [23, 3] Generated Node #0,0,0: 84:[23, 3] Operation: 27-24=3 Moving to Node #0,0,0 Current State: 84:[23, 3], Operations: ['70-47=23', '27-24=3'] Exploring Operation: 23-3=20, Resulting Numbers: [20] 20,84 unequal: No Solution No solution found.	0	hs_1	mult_heuristic
[ 19, 91, 33, 26 ]	20	[ "26-19=7", "91/7=13", "33-13=20" ]	Current State: 20:[19, 91, 33, 26], Operations: [] Exploring Operation: 26-19=7, Resulting Numbers: [91, 33, 7] Generated Node #2: [91, 33, 7] from Operation: 26-19=7 Current State: 20:[91, 33, 7], Operations: ['26-19=7'] Exploring Operation: 91/7=13, Resulting Numbers: [33, 13] Generated Node #3: [33, 13] from Operation: 91/7=13 Current State: 20:[33, 13], Operations: ['26-19=7', '91/7=13'] Exploring Operation: 33-13=20, Resulting Numbers: [20] 20,20 equal: Goal Reached	4	Current State: 20:[19, 91, 33, 26], Operations: [] Exploring Operation: 91-33=58, Resulting Numbers: [19, 26, 58] Generated Node #0,0: 20:[19, 26, 58] Operation: 91-33=58 Moving to Node #0,0 Current State: 20:[19, 26, 58], Operations: ['91-33=58'] Exploring Operation: 58-26=32, Resulting Numbers: [19, 32] Generated Node #0,0,0: 20:[19, 32] Operation: 58-26=32 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 20:[19, 32], Operations: ['91-33=58', '58-26=32'] Exploring Operation: 32-19=13, Resulting Numbers: [13] 13,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 42, 63, 60, 93 ]	21	[ "93-63=30", "42*30=1260", "1260/60=21" ]	Current State: 21:[42, 63, 60, 93], Operations: [] Exploring Operation: 93-63=30, Resulting Numbers: [42, 60, 30] Generated Node #2: [42, 60, 30] from Operation: 93-63=30 Current State: 21:[42, 60, 30], Operations: ['93-63=30'] Exploring Operation: 4230=1260, Resulting Numbers: [60, 1260] Generated Node #3: [60, 1260] from Operation: 4230=1260 Current State: 21:[60, 1260], Operations: ['93-63=30', '42*30=1260'] Exploring Operation: 1260/60=21, Resulting Numbers: [21] 21,21 equal: Goal Reached	4	Current State: 21:[42, 63, 60, 93], Operations: [] Exploring Operation: 93-63=30, Resulting Numbers: [42, 60, 30] Generated Node #0,0: 21:[42, 60, 30] Operation: 93-63=30 Exploring Operation: 93-60=33, Resulting Numbers: [42, 63, 33] Generated Node #0,1: 21:[42, 63, 33] Operation: 93-60=33 Start Sub Search at level 1: Moving to Node #0,0 Current State: 21:[42, 60, 30], Operations: ['93-63=30'] Exploring Operation: 60/30=2, Resulting Numbers: [42, 2] Generated Node #0,0,0: 21:[42, 2] Operation: 60/30=2 Exploring Operation: 60-42=18, Resulting Numbers: [30, 18] Generated Node #0,0,1: 21:[30, 18] Operation: 60-42=18 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 21:[30, 18], Operations: ['93-63=30', '60-42=18'] Exploring Operation: 30+18=48, Resulting Numbers: [48] 48,21 unequal: No Solution Exploring Operation: 30-18=12, Resulting Numbers: [12] 12,21 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 21:[42, 2], Operations: ['93-63=30', '60/30=2'] Exploring Operation: 42-2=40, Resulting Numbers: [40] 40,21 unequal: No Solution Exploring Operation: 42/2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached Moving to Node #0 Current State: 21:[42, 63, 60, 93], Operations: [] Exploring Operation: 93-63=30, Resulting Numbers: [42, 60, 30] Generated Node #0,0: 21:[42, 60, 30] Operation: 93-63=30 Moving to Node #0,0 Current State: 21:[42, 60, 30], Operations: ['93-63=30'] Exploring Operation: 60/30=2, Resulting Numbers: [42, 2] Generated Node #0,0,0: 21:[42, 2] Operation: 60/30=2 Moving to Node #0,0,0 Current State: 21:[42, 2], Operations: ['93-63=30', '60/30=2'] Exploring Operation: 42/2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.989583	hs_2	mult_heuristic
[ 95, 34, 48, 93 ]	65	[ "95-93=2", "34/2=17", "48+17=65" ]	Current State: 65:[95, 34, 48, 93], Operations: [] Exploring Operation: 95-93=2, Resulting Numbers: [34, 48, 2] Generated Node #2: [34, 48, 2] from Operation: 95-93=2 Current State: 65:[34, 48, 2], Operations: ['95-93=2'] Exploring Operation: 34/2=17, Resulting Numbers: [48, 17] Generated Node #3: [48, 17] from Operation: 34/2=17 Current State: 65:[48, 17], Operations: ['95-93=2', '34/2=17'] Exploring Operation: 48+17=65, Resulting Numbers: [65] 65,65 equal: Goal Reached	4	Current State: 65:[95, 34, 48, 93], Operations: [] Exploring Operation: 95-34=61, Resulting Numbers: [48, 93, 61] Generated Node #0,0: 65:[48, 93, 61] Operation: 95-34=61 Exploring Operation: 95-93=2, Resulting Numbers: [34, 48, 2] Generated Node #0,1: 65:[34, 48, 2] Operation: 95-93=2 Moving to Node #0,1 Current State: 65:[34, 48, 2], Operations: ['95-93=2'] Exploring Operation: 48-34=14, Resulting Numbers: [2, 14] Generated Node #0,1,0: 65:[2, 14] Operation: 48-34=14 Exploring Operation: 34+48=82, Resulting Numbers: [2, 82] Generated Node #0,1,1: 65:[2, 82] Operation: 34+48=82 Moving to Node #0,0 Current State: 65:[48, 93, 61], Operations: ['95-34=61'] Exploring Operation: 93-48=45, Resulting Numbers: [61, 45] Generated Node #0,0,0: 65:[61, 45] Operation: 93-48=45 Exploring Operation: 61-48=13, Resulting Numbers: [93, 13] Generated Node #0,0,1: 65:[93, 13] Operation: 61-48=13 Moving to Node #0,1,0 Current State: 65:[2, 14], Operations: ['95-93=2', '48-34=14'] Exploring Operation: 14-2=12, Resulting Numbers: [12] 12,65 unequal: No Solution Exploring Operation: 14/2=7, Resulting Numbers: [7] 7,65 unequal: No Solution Moving to Node #0,1,1 Current State: 65:[2, 82], Operations: ['95-93=2', '34+48=82'] Exploring Operation: 2+82=84, Resulting Numbers: [84] 84,65 unequal: No Solution Exploring Operation: 82-2=80, Resulting Numbers: [80] 80,65 unequal: No Solution Moving to Node #0,0,0 Current State: 65:[61, 45], Operations: ['95-34=61', '93-48=45'] Exploring Operation: 61-45=16, Resulting Numbers: [16] 16,65 unequal: No Solution Exploring Operation: 61+45=106, Resulting Numbers: [106] 106,65 unequal: No Solution Moving to Node #0,0,1 Current State: 65:[93, 13], Operations: ['95-34=61', '61-48=13'] Exploring Operation: 93-13=80, Resulting Numbers: [80] 80,65 unequal: No Solution Exploring Operation: 93+13=106, Resulting Numbers: [106] 106,65 unequal: No Solution No solution found.	0	hs_2	mult_heuristic
[ 92, 45, 89, 96 ]	17	[ "92-89=3", "96-45=51", "51/3=17" ]	Current State: 17:[92, 45, 89, 96], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [45, 96, 3] Generated Node #2: [45, 96, 3] from Operation: 92-89=3 Current State: 17:[45, 96, 3], Operations: ['92-89=3'] Exploring Operation: 96-45=51, Resulting Numbers: [3, 51] Generated Node #3: [3, 51] from Operation: 96-45=51 Current State: 17:[3, 51], Operations: ['92-89=3', '96-45=51'] Exploring Operation: 51/3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached	4	Current State: 17:[92, 45, 89, 96], Operations: [] Exploring Operation: 92-45=47, Resulting Numbers: [89, 96, 47] Generated Node #0,0: 17:[89, 96, 47] Operation: 92-45=47 Exploring Operation: 96-89=7, Resulting Numbers: [92, 45, 7] Generated Node #0,1: 17:[92, 45, 7] Operation: 96-89=7 Exploring Operation: 96-92=4, Resulting Numbers: [45, 89, 4] Generated Node #0,2: 17:[45, 89, 4] Operation: 96-92=4 Exploring Operation: 92-89=3, Resulting Numbers: [45, 96, 3] Generated Node #0,3: 17:[45, 96, 3] Operation: 92-89=3 Exploring Operation: 89-45=44, Resulting Numbers: [92, 96, 44] Generated Node #0,4: 17:[92, 96, 44] Operation: 89-45=44 Start Sub Search at level 1: Moving to Node #0,1 Current State: 17:[92, 45, 7], Operations: ['96-89=7'] Exploring Operation: 92+7=99, Resulting Numbers: [45, 99] Generated Node #0,1,0: 17:[45, 99] Operation: 92+7=99 Exploring Operation: 92-7=85, Resulting Numbers: [45, 85] Generated Node #0,1,1: 17:[45, 85] Operation: 92-7=85 Exploring Operation: 45-7=38, Resulting Numbers: [92, 38] Generated Node #0,1,2: 17:[92, 38] Operation: 45-7=38 Exploring Operation: 92-45=47, Resulting Numbers: [7, 47] Generated Node #0,1,3: 17:[7, 47] Operation: 92-45=47 Exploring Operation: 45+7=52, Resulting Numbers: [92, 52] Generated Node #0,1,4: 17:[92, 52] Operation: 45+7=52 Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 17:[7, 47], Operations: ['96-89=7', '92-45=47'] Exploring Operation: 747=329, Resulting Numbers: [329] 329,17 unequal: No Solution Exploring Operation: 47-7=40, Resulting Numbers: [40] 40,17 unequal: No Solution Exploring Operation: 7+47=54, Resulting Numbers: [54] 54,17 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 17:[45, 85], Operations: ['96-89=7', '92-7=85'] Exploring Operation: 4585=3825, Resulting Numbers: [3825] 3825,17 unequal: No Solution Exploring Operation: 45+85=130, Resulting Numbers: [130] 130,17 unequal: No Solution Exploring Operation: 85-45=40, Resulting Numbers: [40] 40,17 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 17:[92, 38], Operations: ['96-89=7', '45-7=38'] Exploring Operation: 92-38=54, Resulting Numbers: [54] 54,17 unequal: No Solution Exploring Operation: 9238=3496, Resulting Numbers: [3496] 3496,17 unequal: No Solution Exploring Operation: 92+38=130, Resulting Numbers: [130] 130,17 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 17:[45, 99], Operations: ['96-89=7', '92+7=99'] Exploring Operation: 99-45=54, Resulting Numbers: [54] 54,17 unequal: No Solution Exploring Operation: 4599=4455, Resulting Numbers: [4455] 4455,17 unequal: No Solution Exploring Operation: 45+99=144, Resulting Numbers: [144] 144,17 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,4 Current State: 17:[92, 52], Operations: ['96-89=7', '45+7=52'] Exploring Operation: 92+52=144, Resulting Numbers: [144] 144,17 unequal: No Solution Exploring Operation: 9252=4784, Resulting Numbers: [4784] 4784,17 unequal: No Solution Exploring Operation: 92-52=40, Resulting Numbers: [40] 40,17 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 17:[45, 89, 4], Operations: ['96-92=4'] Exploring Operation: 45+4=49, Resulting Numbers: [89, 49] Generated Node #0,2,0: 17:[89, 49] Operation: 45+4=49 Exploring Operation: 89-45=44, Resulting Numbers: [4, 44] Generated Node #0,2,1: 17:[4, 44] Operation: 89-45=44 Exploring Operation: 45-4=41, Resulting Numbers: [89, 41] Generated Node #0,2,2: 17:[89, 41] Operation: 45-4=41 Exploring Operation: 89-4=85, Resulting Numbers: [45, 85] Generated Node #0,2,3: 17:[45, 85] Operation: 89-4=85 Exploring Operation: 89+4=93, Resulting Numbers: [45, 93] Generated Node #0,2,4: 17:[45, 93] Operation: 89+4=93 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 17:[4, 44], Operations: ['96-92=4', '89-45=44'] Exploring Operation: 44/4=11, Resulting Numbers: [11] 11,17 unequal: No Solution Exploring Operation: 44-4=40, Resulting Numbers: [40] 40,17 unequal: No Solution Exploring Operation: 4+44=48, Resulting Numbers: [48] 48,17 unequal: No Solution Exploring Operation: 444=176, Resulting Numbers: [176] 176,17 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 17:[89, 41], Operations: ['96-92=4', '45-4=41'] Exploring Operation: 8941=3649, Resulting Numbers: [3649] 3649,17 unequal: No Solution Exploring Operation: 89+41=130, Resulting Numbers: [130] 130,17 unequal: No Solution Exploring Operation: 89-41=48, Resulting Numbers: [48] 48,17 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 17:[45, 85], Operations: ['96-92=4', '89-4=85'] Exploring Operation: 4585=3825, Resulting Numbers: [3825] 3825,17 unequal: No Solution Exploring Operation: 85-45=40, Resulting Numbers: [40] 40,17 unequal: No Solution Exploring Operation: 45+85=130, Resulting Numbers: [130] 130,17 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 17:[89, 49], Operations: ['96-92=4', '45+4=49'] Exploring Operation: 8949=4361, Resulting Numbers: [4361] 4361,17 unequal: No Solution Exploring Operation: 89+49=138, Resulting Numbers: [138] 138,17 unequal: No Solution Exploring Operation: 89-49=40, Resulting Numbers: [40] 40,17 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 17:[45, 93], Operations: ['96-92=4', '89+4=93'] Exploring Operation: 4593=4185, Resulting Numbers: [4185] 4185,17 unequal: No Solution Exploring Operation: 93-45=48, Resulting Numbers: [48] 48,17 unequal: No Solution Exploring Operation: 45+93=138, Resulting Numbers: [138] 138,17 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 17:[45, 96, 3], Operations: ['92-89=3'] Exploring Operation: 96/3=32, Resulting Numbers: [45, 32] Generated Node #0,3,0: 17:[45, 32] Operation: 96/3=32 Exploring Operation: 45/3=15, Resulting Numbers: [96, 15] Generated Node #0,3,1: 17:[96, 15] Operation: 45/3=15 Exploring Operation: 45-3=42, Resulting Numbers: [96, 42] Generated Node #0,3,2: 17:[96, 42] Operation: 45-3=42 Exploring Operation: 96-3=93, Resulting Numbers: [45, 93] Generated Node #0,3,3: 17:[45, 93] Operation: 96-3=93 Exploring Operation: 96-45=51, Resulting Numbers: [3, 51] Generated Node #0,3,4: 17:[3, 51] Operation: 96-45=51 Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 17:[45, 32], Operations: ['92-89=3', '96/3=32'] Exploring Operation: 45-32=13, Resulting Numbers: [13] 13,17 unequal: No Solution Exploring Operation: 45+32=77, Resulting Numbers: [77] 77,17 unequal: No Solution Exploring Operation: 45*32=1440, Resulting Numbers: [1440] 1440,17 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 17:[3, 51], Operations: ['92-89=3', '96-45=51'] Exploring Operation: 51-3=48, Resulting Numbers: [48] 48,17 unequal: No Solution Exploring Operation: 51/3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached Moving to Node #0 Current State: 17:[92, 45, 89, 96], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [45, 96, 3] Generated Node #0,3: 17:[45, 96, 3] Operation: 92-89=3 Moving to Node #0,3 Current State: 17:[45, 96, 3], Operations: ['92-89=3'] Exploring Operation: 96-45=51, Resulting Numbers: [3, 51] Generated Node #0,3,4: 17:[3, 51] Operation: 96-45=51 Moving to Node #0,3,4 Current State: 17:[3, 51], Operations: ['92-89=3', '96-45=51'] Exploring Operation: 51/3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.947917	hs_5	sum_heuristic
[ 36, 83, 81, 80 ]	39	[ "36+81=117", "83-80=3", "117/3=39" ]	Current State: 39:[36, 83, 81, 80], Operations: [] Exploring Operation: 36+81=117, Resulting Numbers: [83, 80, 117] Generated Node #2: [83, 80, 117] from Operation: 36+81=117 Current State: 39:[83, 80, 117], Operations: ['36+81=117'] Exploring Operation: 83-80=3, Resulting Numbers: [117, 3] Generated Node #3: [117, 3] from Operation: 83-80=3 Current State: 39:[117, 3], Operations: ['36+81=117', '83-80=3'] Exploring Operation: 117/3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached	4	Current State: 39:[36, 83, 81, 80], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [36, 80, 2] Generated Node #0,0: 39:[36, 80, 2] Operation: 83-81=2 Exploring Operation: 83-80=3, Resulting Numbers: [36, 81, 3] Generated Node #0,1: 39:[36, 81, 3] Operation: 83-80=3 Exploring Operation: 81-80=1, Resulting Numbers: [36, 83, 1] Generated Node #0,2: 39:[36, 83, 1] Operation: 81-80=1 Moving to Node #0,0 Current State: 39:[36, 80, 2], Operations: ['83-81=2'] Exploring Operation: 80/2=40, Resulting Numbers: [36, 40] Generated Node #0,0,0: 39:[36, 40] Operation: 80/2=40 Exploring Operation: 36+2=38, Resulting Numbers: [80, 38] Generated Node #0,0,1: 39:[80, 38] Operation: 36+2=38 Exploring Operation: 80-36=44, Resulting Numbers: [2, 44] Generated Node #0,0,2: 39:[2, 44] Operation: 80-36=44 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 39:[36, 40], Operations: ['83-81=2', '80/2=40'] Exploring Operation: 36+40=76, Resulting Numbers: [76] 76,39 unequal: No Solution Exploring Operation: 3640=1440, Resulting Numbers: [1440] 1440,39 unequal: No Solution Exploring Operation: 40-36=4, Resulting Numbers: [4] 4,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 39:[2, 44], Operations: ['83-81=2', '80-36=44'] Exploring Operation: 44-2=42, Resulting Numbers: [42] 42,39 unequal: No Solution Exploring Operation: 2+44=46, Resulting Numbers: [46] 46,39 unequal: No Solution Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 39:[80, 38], Operations: ['83-81=2', '36+2=38'] Exploring Operation: 80-38=42, Resulting Numbers: [42] 42,39 unequal: No Solution Exploring Operation: 80+38=118, Resulting Numbers: [118] 118,39 unequal: No Solution Exploring Operation: 8038=3040, Resulting Numbers: [3040] 3040,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 39:[36, 81, 3], Operations: ['83-80=3'] Exploring Operation: 81/3=27, Resulting Numbers: [36, 27] Generated Node #0,1,0: 39:[36, 27] Operation: 81/3=27 Exploring Operation: 36+3=39, Resulting Numbers: [81, 39] Generated Node #0,1,1: 39:[81, 39] Operation: 36+3=39 Exploring Operation: 81-36=45, Resulting Numbers: [3, 45] Generated Node #0,1,2: 39:[3, 45] Operation: 81-36=45 Moving to Node #0,2 Current State: 39:[36, 83, 1], Operations: ['81-80=1'] Exploring Operation: 83-36=47, Resulting Numbers: [1, 47] Generated Node #0,2,0: 39:[1, 47] Operation: 83-36=47 Exploring Operation: 36+1=37, Resulting Numbers: [83, 37] Generated Node #0,2,1: 39:[83, 37] Operation: 36+1=37 Exploring Operation: 83-1=82, Resulting Numbers: [36, 82] Generated Node #0,2,2: 39:[36, 82] Operation: 83-1=82 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 39:[1, 47], Operations: ['81-80=1', '83-36=47'] Exploring Operation: 47/1=47, Resulting Numbers: [47] 47,39 unequal: No Solution Exploring Operation: 147=47, Resulting Numbers: [47] 47,39 unequal: No Solution Exploring Operation: 47-1=46, Resulting Numbers: [46] 46,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 39:[83, 37], Operations: ['81-80=1', '36+1=37'] Exploring Operation: 83+37=120, Resulting Numbers: [120] 120,39 unequal: No Solution Exploring Operation: 8337=3071, Resulting Numbers: [3071] 3071,39 unequal: No Solution Exploring Operation: 83-37=46, Resulting Numbers: [46] 46,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 39:[36, 82], Operations: ['81-80=1', '83-1=82'] Exploring Operation: 36+82=118, Resulting Numbers: [118] 118,39 unequal: No Solution Exploring Operation: 3682=2952, Resulting Numbers: [2952] 2952,39 unequal: No Solution Exploring Operation: 82-36=46, Resulting Numbers: [46] 46,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,2 Current State: 39:[3, 45], Operations: ['83-80=3', '81-36=45'] Exploring Operation: 45-3=42, Resulting Numbers: [42] 42,39 unequal: No Solution Exploring Operation: 45/3=15, Resulting Numbers: [15] 15,39 unequal: No Solution Exploring Operation: 3+45=48, Resulting Numbers: [48] 48,39 unequal: No Solution Moving to Node #0,1,0 Current State: 39:[36, 27], Operations: ['83-80=3', '81/3=27'] Exploring Operation: 36+27=63, Resulting Numbers: [63] 63,39 unequal: No Solution Exploring Operation: 3627=972, Resulting Numbers: [972] 972,39 unequal: No Solution Exploring Operation: 36-27=9, Resulting Numbers: [9] 9,39 unequal: No Solution Moving to Node #0,1,1 Current State: 39:[81, 39], Operations: ['83-80=3', '36+3=39'] Exploring Operation: 81*39=3159, Resulting Numbers: [3159] 3159,39 unequal: No Solution Exploring Operation: 81+39=120, Resulting Numbers: [120] 120,39 unequal: No Solution Exploring Operation: 81-39=42, Resulting Numbers: [42] 42,39 unequal: No Solution No solution found.	0	hs_3	mult_heuristic
[ 41, 35, 5, 92 ]	11	[ "41+35=76", "92-5=87", "87-76=11" ]	Current State: 11:[41, 35, 5, 92], Operations: [] Exploring Operation: 41+35=76, Resulting Numbers: [5, 92, 76] Generated Node #2: [5, 92, 76] from Operation: 41+35=76 Current State: 11:[5, 92, 76], Operations: ['41+35=76'] Exploring Operation: 92-5=87, Resulting Numbers: [76, 87] Generated Node #3: [76, 87] from Operation: 92-5=87 Current State: 11:[76, 87], Operations: ['41+35=76', '92-5=87'] Exploring Operation: 87-76=11, Resulting Numbers: [11] 11,11 equal: Goal Reached	4	Current State: 11:[41, 35, 5, 92], Operations: [] Exploring Operation: 92-35=57, Resulting Numbers: [41, 5, 57] Generated Node #0,0: 11:[41, 5, 57] Operation: 92-35=57 Exploring Operation: 35/5=7, Resulting Numbers: [41, 92, 7] Generated Node #0,1: 11:[41, 92, 7] Operation: 35/5=7 Exploring Operation: 41-5=36, Resulting Numbers: [35, 92, 36] Generated Node #0,2: 11:[35, 92, 36] Operation: 41-5=36 Exploring Operation: 92-41=51, Resulting Numbers: [35, 5, 51] Generated Node #0,3: 11:[35, 5, 51] Operation: 92-41=51 Exploring Operation: 41-35=6, Resulting Numbers: [5, 92, 6] Generated Node #0,4: 11:[5, 92, 6] Operation: 41-35=6 Moving to Node #0,3 Current State: 11:[35, 5, 51], Operations: ['92-41=51'] Exploring Operation: 35/5=7, Resulting Numbers: [51, 7] Generated Node #0,3,0: 11:[51, 7] Operation: 35/5=7 Exploring Operation: 35-5=30, Resulting Numbers: [51, 30] Generated Node #0,3,1: 11:[51, 30] Operation: 35-5=30 Exploring Operation: 35+5=40, Resulting Numbers: [51, 40] Generated Node #0,3,2: 11:[51, 40] Operation: 35+5=40 Exploring Operation: 51-5=46, Resulting Numbers: [35, 46] Generated Node #0,3,3: 11:[35, 46] Operation: 51-5=46 Exploring Operation: 51-35=16, Resulting Numbers: [5, 16] Generated Node #0,3,4: 11:[5, 16] Operation: 51-35=16 Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 11:[5, 16], Operations: ['92-41=51', '51-35=16'] Exploring Operation: 5*16=80, Resulting Numbers: [80] 80,11 unequal: No Solution Exploring Operation: 16-5=11, Resulting Numbers: [11] 11,11 equal: Goal Reached Moving to Node #0 Current State: 11:[41, 35, 5, 92], Operations: [] Exploring Operation: 92-41=51, Resulting Numbers: [35, 5, 51] Generated Node #0,3: 11:[35, 5, 51] Operation: 92-41=51 Moving to Node #0,3 Current State: 11:[35, 5, 51], Operations: ['92-41=51'] Exploring Operation: 51-35=16, Resulting Numbers: [5, 16] Generated Node #0,3,4: 11:[5, 16] Operation: 51-35=16 Moving to Node #0,3,4 Current State: 11:[5, 16], Operations: ['92-41=51', '51-35=16'] Exploring Operation: 16-5=11, Resulting Numbers: [11] 11,11 equal: Goal Reached Exit Sub Search at level 1	0.986111	hs_5	sum_heuristic
[ 39, 28, 22, 59 ]	14	[ "39+28=67", "22+59=81", "81-67=14" ]	Current State: 14:[39, 28, 22, 59], Operations: [] Exploring Operation: 39+28=67, Resulting Numbers: [22, 59, 67] Generated Node #2: [22, 59, 67] from Operation: 39+28=67 Current State: 14:[22, 59, 67], Operations: ['39+28=67'] Exploring Operation: 22+59=81, Resulting Numbers: [67, 81] Generated Node #3: [67, 81] from Operation: 22+59=81 Current State: 14:[67, 81], Operations: ['39+28=67', '22+59=81'] Exploring Operation: 81-67=14, Resulting Numbers: [14] 14,14 equal: Goal Reached	4	Current State: 14:[39, 28, 22, 59], Operations: [] Exploring Operation: 59-39=20, Resulting Numbers: [28, 22, 20] Generated Node #0,0: 14:[28, 22, 20] Operation: 59-39=20 Start Sub Search at level 1: Moving to Node #0,0 Current State: 14:[28, 22, 20], Operations: ['59-39=20'] Exploring Operation: 28-22=6, Resulting Numbers: [20, 6] Generated Node #0,0,0: 14:[20, 6] Operation: 28-22=6 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 14:[20, 6], Operations: ['59-39=20', '28-22=6'] Exploring Operation: 20-6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached Moving to Node #0 Current State: 14:[39, 28, 22, 59], Operations: [] Exploring Operation: 59-39=20, Resulting Numbers: [28, 22, 20] Generated Node #0,0: 14:[28, 22, 20] Operation: 59-39=20 Moving to Node #0,0 Current State: 14:[28, 22, 20], Operations: ['59-39=20'] Exploring Operation: 28-22=6, Resulting Numbers: [20, 6] Generated Node #0,0,0: 14:[20, 6] Operation: 28-22=6 Moving to Node #0,0,0 Current State: 14:[20, 6], Operations: ['59-39=20', '28-22=6'] Exploring Operation: 20-6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.993924	hs_1	sum_heuristic

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