(1, 1, 1, 1): No Solution!
(1, 1, 1, 2): No Solution!
(1, 1, 1, 3): No Solution!
(1, 1, 1, 4): No Solution!
(1, 1, 1, 5): No Solution!
(1, 1, 1, 6): No Solution!
(1, 1, 1, 7): No Solution!
(1, 1, 1, 8): (1+1+1)*8 = 24
(1, 1, 1, 9): No Solution!
(1, 1, 1, 10): No Solution!
(1, 1, 1, 11): (1+1)*(1+11) = 24
(1, 1, 1, 12): (1/1+1)*12 = 24
(1, 1, 1, 13): (1+1)*(13-1) = 24
(1, 1, 2, 2): No Solution!
(1, 1, 2, 3): No Solution!
(1, 1, 2, 4): No Solution!
(1, 1, 2, 5): No Solution!
(1, 1, 2, 6): (1+1)*(2*6) = 24
(1, 1, 2, 7): (1+2)*(1+7) = 24
(1, 1, 2, 8): (1/1+2)*8 = 24
(1, 1, 2, 9): (1+2)*(9-1) = 24
(1, 1, 2, 10): (1+1)*(2+10) = 24
(1, 1, 2, 11): (1/1+11)*2 = 24
(1, 1, 2, 12): 1/1*(2*12) = 24
(1, 1, 2, 13): 2*(13-1/1) = 24
(1, 1, 3, 3): No Solution!
(1, 1, 3, 4): (1+1)*(3*4) = 24
(1, 1, 3, 5): (1+3)*(1+5) = 24
(1, 1, 3, 6): (1/1+3)*6 = 24
(1, 1, 3, 7): (1/1+7)*3 = 24
(1, 1, 3, 8): 1/1*(3*8) = 24
(1, 1, 3, 9): 3*(9-1/1) = 24
(1, 1, 3, 10): 3*(10-1-1) = 24
(1, 1, 3, 11): (1+11)*(3-1) = 24
(1, 1, 3, 12): (3-1/1)*12 = 24
(1, 1, 3, 13): (1-3)*(1-13) = 24
(1, 1, 4, 4): (1+1+4)*4 = 24
(1, 1, 4, 5): (1/1+5)*4 = 24
(1, 1, 4, 6): 1/1*(4*6) = 24
(1, 1, 4, 7): 4*(7-1/1) = 24
(1, 1, 4, 8): (4-1/1)*8 = 24
(1, 1, 4, 9): (1-4)*(1-9) = 24
(1, 1, 4, 10): (1+1)*10+4 = 24
(1, 1, 4, 11): No Solution!
(1, 1, 4, 12): 4*12/(1+1) = 24
(1, 1, 4, 13): No Solution!
(1, 1, 5, 5): 5*5-1/1 = 24
(1, 1, 5, 6): (5-1/1)*6 = 24
(1, 1, 5, 7): (1-5)*(1-7) = 24
(1, 1, 5, 8): (5-1-1)*8 = 24
(1, 1, 5, 9): No Solution!
(1, 1, 5, 10): No Solution!
(1, 1, 5, 11): No Solution!
(1, 1, 5, 12): No Solution!
(1, 1, 5, 13): No Solution!
(1, 1, 6, 6): (6-1-1)*6 = 24
(1, 1, 6, 7): No Solution!
(1, 1, 6, 8): 6*8/(1+1) = 24
(1, 1, 6, 9): (1+1)*9+6 = 24
(1, 1, 6, 10): No Solution!
(1, 1, 6, 11): No Solution!
(1, 1, 6, 12): (1+1)*6+12 = 24
(1, 1, 6, 13): No Solution!
(1, 1, 7, 7): No Solution!
(1, 1, 7, 8): No Solution!
(1, 1, 7, 9): No Solution!
(1, 1, 7, 10): (1+1)*7+10 = 24
(1, 1, 7, 11): No Solution!
(1, 1, 7, 12): No Solution!
(1, 1, 7, 13): No Solution!
(1, 1, 8, 8): (1+1)*8+8 = 24
(1, 1, 8, 9): No Solution!
(1, 1, 8, 10): No Solution!
(1, 1, 8, 11): No Solution!
(1, 1, 8, 12): No Solution!
(1, 1, 8, 13): No Solution!
(1, 1, 9, 9): No Solution!
(1, 1, 9, 10): No Solution!
(1, 1, 9, 11): No Solution!
(1, 1, 9, 12): No Solution!
(1, 1, 9, 13): 1+1+(9+13) = 24
(1, 1, 10, 10): No Solution!
(1, 1, 10, 11): No Solution!
(1, 1, 10, 12): 1+1+(10+12) = 24
(1, 1, 10, 13): 1/1+(10+13) = 24
(1, 1, 11, 11): 1+1+(11+11) = 24
(1, 1, 11, 12): 1/1+(11+12) = 24
(1, 1, 11, 13): 1/1*(11+13) = 24
(1, 1, 12, 12): 1/1*(12+12) = 24
(1, 1, 12, 13): 12+13-1/1 = 24
(1, 1, 13, 13): 13-(1-13+1) = 24
(1, 2, 2, 2): No Solution!
(1, 2, 2, 3): No Solution!
(1, 2, 2, 4): (1+2)*(2*4) = 24
(1, 2, 2, 5): (1+5)*(2*2) = 24
(1, 2, 2, 6): 2*6/(1/2) = 24
(1, 2, 2, 7): 2*2*(7-1) = 24
(1, 2, 2, 8): (2*2-1)*8 = 24
(1, 2, 2, 9): (1+2+9)*2 = 24
(1, 2, 2, 10): (2+10)/(1/2) = 24
(1, 2, 2, 11): 2+11/(1/2) = 24
(1, 2, 2, 12): (1+2/2)*12 = 24
(1, 2, 2, 13): 13/(1/2)-2 = 24
(1, 2, 3, 3): (1+3)*(2*3) = 24
(1, 2, 3, 4): 3*4/(1/2) = 24
(1, 2, 3, 5): 2*3*(5-1) = 24
(1, 2, 3, 6): (2+6)/(1/3) = 24
(1, 2, 3, 7): 1+(2+3*7) = 24
(1, 2, 3, 8): 8/(1-2/3) = 24
(1, 2, 3, 9): (3+9)/(1/2) = 24
(1, 2, 3, 10): (10-2)/(1/3) = 24
(1, 2, 3, 11): 2*11+3-1 = 24
(1, 2, 3, 12): (1+3)/(2/12) = 24
(1, 2, 3, 13): 1+2*13-3 = 24
(1, 2, 4, 4): (2+4)/(1/4) = 24
(1, 2, 4, 5): 4*(5-(1-2)) = 24
(1, 2, 4, 6): (2-1)*(4*6) = 24
(1, 2, 4, 7): (1-2+7)*4 = 24
(1, 2, 4, 8): (4+8)/(1/2) = 24
(1, 2, 4, 9): 2*(9-(1-4)) = 24
(1, 2, 4, 10): 4+10/(1/2) = 24
(1, 2, 4, 11): (1+11)/(2/4) = 24
(1, 2, 4, 12): 1/2*(4*12) = 24
(1, 2, 4, 13): (13-1)/(2/4) = 24
(1, 2, 5, 5): 1+5*5-2 = 24
(1, 2, 5, 6): (1-2+5)*6 = 24
(1, 2, 5, 7): (5+7)/(1/2) = 24
(1, 2, 5, 8): (5-2)/(1/8) = 24
(1, 2, 5, 9): 1+(2*9+5) = 24
(1, 2, 5, 10): 10/(2/5)-1 = 24
(1, 2, 5, 11): No Solution!
(1, 2, 5, 12): (5-1)/(2/12) = 24
(1, 2, 5, 13): 1+(2*5+13) = 24
(1, 2, 6, 6): (6+6)/(1/2) = 24
(1, 2, 6, 7): (1+7)/(2/6) = 24
(1, 2, 6, 8): 1/2*(6*8) = 24
(1, 2, 6, 9): 6+9/(1/2) = 24
(1, 2, 6, 10): 6*(10/2-1) = 24
(1, 2, 6, 11): 1+(2*6+11) = 24
(1, 2, 6, 12): 6/(1/2)+12 = 24
(1, 2, 6, 13): 2*6+13-1 = 24
(1, 2, 7, 7): (7*7-1)/2 = 24
(1, 2, 7, 8): (7-1)/(2/8) = 24
(1, 2, 7, 9): 1+(2*7+9) = 24
(1, 2, 7, 10): 7/(1/2)+10 = 24
(1, 2, 7, 11): 2*7+11-1 = 24
(1, 2, 7, 12): 12-(1-7)*2 = 24
(1, 2, 7, 13): No Solution!
(1, 2, 8, 8): 8+8/(1/2) = 24
(1, 2, 8, 9): 2*8+9-1 = 24
(1, 2, 8, 10): 10-(1-8)*2 = 24
(1, 2, 8, 11): No Solution!
(1, 2, 8, 12): No Solution!
(1, 2, 8, 13): 1+2+(8+13) = 24
(1, 2, 9, 9): No Solution!
(1, 2, 9, 10): No Solution!
(1, 2, 9, 11): (1+2)*11-9 = 24
(1, 2, 9, 12): 1+2+(9+12) = 24
(1, 2, 9, 13): 2/1+(9+13) = 24
(1, 2, 10, 10): No Solution!
(1, 2, 10, 11): 1+2+(10+11) = 24
(1, 2, 10, 12): 2/1+(10+12) = 24
(1, 2, 10, 13): 10+13-(1-2) = 24
(1, 2, 11, 11): 2/1+(11+11) = 24
(1, 2, 11, 12): 2/(1-11/12) = 24
(1, 2, 11, 13): 11-(1-2)*13 = 24
(1, 2, 12, 12): 12-(1-2)*12 = 24
(1, 2, 12, 13): 2/(13/12-1) = 24
(1, 2, 13, 13): 13+13-2/1 = 24
(1, 3, 3, 3): (3*3-1)*3 = 24
(1, 3, 3, 4): (3+3)/(1/4) = 24
(1, 3, 3, 5): (3+5)/(1/3) = 24
(1, 3, 3, 6): 3*(6-(1-3)) = 24
(1, 3, 3, 7): 3+7/(1/3) = 24
(1, 3, 3, 8): 3-(1-8)*3 = 24
(1, 3, 3, 9): (3-1/3)*9 = 24
(1, 3, 3, 10): (1-3+10)*3 = 24
(1, 3, 3, 11): (11-3)/(1/3) = 24
(1, 3, 3, 12): (1+3/3)*12 = 24
(1, 3, 3, 13): No Solution!
(1, 3, 4, 4): (4+4)/(1/3) = 24
(1, 3, 4, 5): 1+(3+4*5) = 24
(1, 3, 4, 6): 6/(1-3/4) = 24
(1, 3, 4, 7): 3*7+4-1 = 24
(1, 3, 4, 8): 8/(4/3-1) = 24
(1, 3, 4, 9): (9-3)/(1/4) = 24
(1, 3, 4, 10): 4-(1-3)*10 = 24
(1, 3, 4, 11): 1+(3*4+11) = 24
(1, 3, 4, 12): (12-4)/(1/3) = 24
(1, 3, 4, 13): 3*4+13-1 = 24
(1, 3, 5, 5): No Solution!
(1, 3, 5, 6): 1+(3*6+5) = 24
(1, 3, 5, 7): (3-1)*(5+7) = 24
(1, 3, 5, 8): 1+(3*5+8) = 24
(1, 3, 5, 9): 5/(1/3)+9 = 24
(1, 3, 5, 10): 3*5+10-1 = 24
(1, 3, 5, 11): (1+11)*(5-3) = 24
(1, 3, 5, 12): (5-3)/(1/12) = 24
(1, 3, 5, 13): (13-5)/(1/3) = 24
(1, 3, 6, 6): 6+6/(1/3) = 24
(1, 3, 6, 7): (7-3)/(1/6) = 24
(1, 3, 6, 8): (6-3)/(1/8) = 24
(1, 3, 6, 9): (1+9/3)*6 = 24
(1, 3, 6, 10): 10/(1/3)-6 = 24
(1, 3, 6, 11): (1+11)/(3/6) = 24
(1, 3, 6, 12): 1/3*(6*12) = 24
(1, 3, 6, 13): (13-1)/(3/6) = 24
(1, 3, 7, 7): (1-7)*(3-7) = 24
(1, 3, 7, 8): 3/(1-7/8) = 24
(1, 3, 7, 9): (1+7)/(3/9) = 24
(1, 3, 7, 10): 1+3*10-7 = 24
(1, 3, 7, 11): No Solution!
(1, 3, 7, 12): (7-1)/(3/12) = 24
(1, 3, 7, 13): (1+3)*(13-7) = 24
(1, 3, 8, 8): (1+8)/(3/8) = 24
(1, 3, 8, 9): 1/3*(8*9) = 24
(1, 3, 8, 10): (10-1)/(3/8) = 24
(1, 3, 8, 11): 3*11-(1+8) = 24
(1, 3, 8, 12): 8*(12/3-1) = 24
(1, 3, 8, 13): 3/1+(8+13) = 24
(1, 3, 9, 9): (9-1)/(3/9) = 24
(1, 3, 9, 10): (1+10)*3-9 = 24
(1, 3, 9, 11): 11/(1/3)-9 = 24
(1, 3, 9, 12): 3/1+(9+12) = 24
(1, 3, 9, 13): 9+13-(1-3) = 24
(1, 3, 10, 10): 1+3+(10+10) = 24
(1, 3, 10, 11): 3/1+(10+11) = 24
(1, 3, 10, 12): 10+12-(1-3) = 24
(1, 3, 10, 13): No Solution!
(1, 3, 11, 11): 11+11-(1-3) = 24
(1, 3, 11, 12): 3*12-(1+11) = 24
(1, 3, 11, 13): No Solution!
(1, 3, 12, 12): 12/(1/3)-12 = 24
(1, 3, 12, 13): 1+3*12-13 = 24
(1, 3, 13, 13): 1-3+(13+13) = 24
(1, 4, 4, 4): (4-1)*(4+4) = 24
(1, 4, 4, 5): 4+5/(1/4) = 24
(1, 4, 4, 6): 4-(1-6)*4 = 24
(1, 4, 4, 7): 7/(1/4)-4 = 24
(1, 4, 4, 8): 4/(1/4)+8 = 24
(1, 4, 4, 9): 4*4+9-1 = 24
(1, 4, 4, 10): (10-4)/(1/4) = 24
(1, 4, 4, 11): 4*(11-1-4) = 24
(1, 4, 4, 12): (1+4/4)*12 = 24
(1, 4, 4, 13): No Solution!
(1, 4, 5, 5): 4*5+5-1 = 24
(1, 4, 5, 6): 6/(5/4-1) = 24
(1, 4, 5, 7): 1+4*7-5 = 24
(1, 4, 5, 8): 8-(1-5)*4 = 24
(1, 4, 5, 9): 9-(1-4)*5 = 24
(1, 4, 5, 10): (1-5+10)*4 = 24
(1, 4, 5, 11): (11-5)/(1/4) = 24
(1, 4, 5, 12): (1-4+5)*12 = 24
(1, 4, 5, 13): (1-4)*(5-13) = 24
(1, 4, 6, 6): 6-(1-4)*6 = 24
(1, 4, 6, 7): 4/(7/6-1) = 24
(1, 4, 6, 8): (8-4)/(1/6) = 24
(1, 4, 6, 9): 6*(9-1-4) = 24
(1, 4, 6, 10): (4-1)*10-6 = 24
(1, 4, 6, 11): (1-6+11)*4 = 24
(1, 4, 6, 12): (12-6)/(1/4) = 24
(1, 4, 6, 13): (1-13)*(4-6) = 24
(1, 4, 7, 7): (1+7)*(7-4) = 24
(1, 4, 7, 8): (7-4)/(1/8) = 24
(1, 4, 7, 9): (1-9)*(4-7) = 24
(1, 4, 7, 10): No Solution!
(1, 4, 7, 11): (1+4)*7-11 = 24
(1, 4, 7, 12): (1+7)/(4/12) = 24
(1, 4, 7, 13): (13-7)/(1/4) = 24
(1, 4, 8, 8): 8/(1/4)-8 = 24
(1, 4, 8, 9): 1+4*8-9 = 24
(1, 4, 8, 10): No Solution!
(1, 4, 8, 11): (1+11)/(4/8) = 24
(1, 4, 8, 12): 1/4*(8*12) = 24
(1, 4, 8, 13): (13-1)/(4/8) = 24
(1, 4, 9, 9): No Solution!
(1, 4, 9, 10): 1+4+(9+10) = 24
(1, 4, 9, 11): 4/1+(9+11) = 24
(1, 4, 9, 12): 9/(1/4)-12 = 24
(1, 4, 9, 13): 1+4*9-13 = 24
(1, 4, 10, 10): 4/1+(10+10) = 24
(1, 4, 10, 11): 10+11-(1-4) = 24
(1, 4, 10, 12): 4/(1-10/12) = 24
(1, 4, 10, 13): No Solution!
(1, 4, 11, 11): No Solution!
(1, 4, 11, 12): No Solution!
(1, 4, 11, 13): No Solution!
(1, 4, 12, 12): (12/4-1)*12 = 24
(1, 4, 12, 13): No Solution!
(1, 4, 13, 13): No Solution!
(1, 5, 5, 5): 5*(5-1/5) = 24
(1, 5, 5, 6): 5*6-(1+5) = 24
(1, 5, 5, 7): No Solution!
(1, 5, 5, 8): No Solution!
(1, 5, 5, 9): (1+5)*(9-5) = 24
(1, 5, 5, 10): 5*(10-5)-1 = 24
(1, 5, 5, 11): (1-5)*(5-11) = 24
(1, 5, 5, 12): (1+5/5)*12 = 24
(1, 5, 5, 13): 1+5+(5+13) = 24
(1, 5, 6, 6): 6/(1/5)-6 = 24
(1, 5, 6, 7): 1+5*6-7 = 24
(1, 5, 6, 8): (1-5+8)*6 = 24
(1, 5, 6, 9): (9-5)/(1/6) = 24
(1, 5, 6, 10): 6*(10-1-5) = 24
(1, 5, 6, 11): 5*(11-6)-1 = 24
(1, 5, 6, 12): (1-5+6)*12 = 24
(1, 5, 6, 13): 5/1+(6+13) = 24
(1, 5, 7, 7): No Solution!
(1, 5, 7, 8): (1-5+7)*8 = 24
(1, 5, 7, 9): (1-7)*(5-9) = 24
(1, 5, 7, 10): (1+7/5)*10 = 24
(1, 5, 7, 11): 7/(1/5)-11 = 24
(1, 5, 7, 12): (7-5)/(1/12) = 24
(1, 5, 7, 13): 7+13-(1-5) = 24
(1, 5, 8, 8): (8-5)/(1/8) = 24
(1, 5, 8, 9): 9/(1-5/8) = 24
(1, 5, 8, 10): (1+10/5)*8 = 24
(1, 5, 8, 11): 5/1+(8+11) = 24
(1, 5, 8, 12): 8*12/(5-1) = 24
(1, 5, 8, 13): 5*(13-8)-1 = 24
(1, 5, 9, 9): 1+5+(9+9) = 24
(1, 5, 9, 10): 5/1+(9+10) = 24
(1, 5, 9, 11): 9+11-(1-5) = 24
(1, 5, 9, 12): (1+9)/(5/12) = 24
(1, 5, 9, 13): (1+5)*(13-9) = 24
(1, 5, 10, 10): 10+10-(1-5) = 24
(1, 5, 10, 11): (1+11)/(5/10) = 24
(1, 5, 10, 12): 1/5*(10*12) = 24
(1, 5, 10, 13): (13-1)/(5/10) = 24
(1, 5, 11, 11): (11*11-1)/5 = 24
(1, 5, 11, 12): (11-1)/(5/12) = 24
(1, 5, 11, 13): No Solution!
(1, 5, 12, 12): 12*12/(1+5) = 24
(1, 5, 12, 13): No Solution!
(1, 5, 13, 13): No Solution!
(1, 6, 6, 6): (6-1)*6-6 = 24
(1, 6, 6, 7): No Solution!
(1, 6, 6, 8): 6/(1-6/8) = 24
(1, 6, 6, 9): (1-6+9)*6 = 24
(1, 6, 6, 10): (10-6)/(1/6) = 24
(1, 6, 6, 11): 6*6-(1+11) = 24
(1, 6, 6, 12): 6/(1/6)-12 = 24
(1, 6, 6, 13): 1+6*6-13 = 24
(1, 6, 7, 7): No Solution!
(1, 6, 7, 8): No Solution!
(1, 6, 7, 9): (1+7)*(9-6) = 24
(1, 6, 7, 10): (1-7+10)*6 = 24
(1, 6, 7, 11): (11-7)/(1/6) = 24
(1, 6, 7, 12): 7+12-(1-6) = 24
(1, 6, 7, 13): No Solution!
(1, 6, 8, 8): 8/(8/6-1) = 24
(1, 6, 8, 9): (9-6)/(1/8) = 24
(1, 6, 8, 10): 6/1+(8+10) = 24
(1, 6, 8, 11): 8+11-(1-6) = 24
(1, 6, 8, 12): (12-8)/(1/6) = 24
(1, 6, 8, 13): (1-13)*(6-8) = 24
(1, 6, 9, 9): 6/1+(9+9) = 24
(1, 6, 9, 10): (1+10/6)*9 = 24
(1, 6, 9, 11): No Solution!
(1, 6, 9, 12): 12/(9/6-1) = 24
(1, 6, 9, 13): (13-9)/(1/6) = 24
(1, 6, 10, 10): No Solution!
(1, 6, 10, 11): No Solution!
(1, 6, 10, 12): 10*12/(6-1) = 24
(1, 6, 10, 13): (1-10+13)*6 = 24
(1, 6, 11, 11): No Solution!
(1, 6, 11, 12): (1+11)/(6/12) = 24
(1, 6, 11, 13): (1+11*13)/6 = 24
(1, 6, 12, 12): 1/6*(12*12) = 24
(1, 6, 12, 13): (13-1)/(6/12) = 24
(1, 6, 13, 13): No Solution!
(1, 7, 7, 7): No Solution!
(1, 7, 7, 8): No Solution!
(1, 7, 7, 9): 1+7+(7+9) = 24
(1, 7, 7, 10): 7/1+(7+10) = 24
(1, 7, 7, 11): 7+11-(1-7) = 24
(1, 7, 7, 12): (1+7/7)*12 = 24
(1, 7, 7, 13): No Solution!
(1, 7, 8, 8): 1+7+(8+8) = 24
(1, 7, 8, 9): 7/1+(8+9) = 24
(1, 7, 8, 10): (10-7)/(1/8) = 24
(1, 7, 8, 11): 8*(11-1-7) = 24
(1, 7, 8, 12): (1-7+8)*12 = 24
(1, 7, 8, 13): No Solution!
(1, 7, 9, 9): 9+9-(1-7) = 24
(1, 7, 9, 10): (1-9)*(7-10) = 24
(1, 7, 9, 11): (1+11)*(9-7) = 24
(1, 7, 9, 12): (9-7)/(1/12) = 24
(1, 7, 9, 13): (1-7)*(9-13) = 24
(1, 7, 10, 10): No Solution!
(1, 7, 10, 11): No Solution!
(1, 7, 10, 12): 10/(1-7/12) = 24
(1, 7, 10, 13): (1+7)*(13-10) = 24
(1, 7, 11, 11): No Solution!
(1, 7, 11, 12): No Solution!
(1, 7, 11, 13): No Solution!
(1, 7, 12, 12): 12*12/(7-1) = 24
(1, 7, 12, 13): (1+13)/(7/12) = 24
(1, 7, 13, 13): (13*13-1)/7 = 24
(1, 8, 8, 8): 8/1+(8+8) = 24
(1, 8, 8, 9): 8+9-(1-8) = 24
(1, 8, 8, 10): (1-8+10)*8 = 24
(1, 8, 8, 11): (11-8)/(1/8) = 24
(1, 8, 8, 12): (1+8/8)*12 = 24
(1, 8, 8, 13): No Solution!
(1, 8, 9, 9): No Solution!
(1, 8, 9, 10): No Solution!
(1, 8, 9, 11): 9/(11/8-1) = 24
(1, 8, 9, 12): (12-9)/(1/8) = 24
(1, 8, 9, 13): 8*(13-1-9) = 24
(1, 8, 10, 10): No Solution!
(1, 8, 10, 11): (1+11)*(10-8) = 24
(1, 8, 10, 12): (10-8)/(1/12) = 24
(1, 8, 10, 13): (13-10)/(1/8) = 24
(1, 8, 11, 11): No Solution!
(1, 8, 11, 12): (11-1-8)*12 = 24
(1, 8, 11, 13): (1-11+13)*8 = 24
(1, 8, 12, 12): 12/(12/8-1) = 24
(1, 8, 12, 13): No Solution!
(1, 8, 13, 13): No Solution!
(1, 9, 9, 9): No Solution!
(1, 9, 9, 10): No Solution!
(1, 9, 9, 11): No Solution!
(1, 9, 9, 12): (1+9/9)*12 = 24
(1, 9, 9, 13): No Solution!
(1, 9, 10, 10): No Solution!
(1, 9, 10, 11): No Solution!
(1, 9, 10, 12): (1-9+10)*12 = 24
(1, 9, 10, 13): (1-9)*(10-13) = 24
(1, 9, 11, 11): (1+11)*(11-9) = 24
(1, 9, 11, 12): (11-9)/(1/12) = 24
(1, 9, 11, 13): (1-13)*(9-11) = 24
(1, 9, 12, 12): (12-1-9)*12 = 24
(1, 9, 12, 13): No Solution!
(1, 9, 13, 13): No Solution!
(1, 10, 10, 10): No Solution!
(1, 10, 10, 11): No Solution!
(1, 10, 10, 12): (1+10/10)*12 = 24
(1, 10, 10, 13): No Solution!
(1, 10, 11, 11): No Solution!
(1, 10, 11, 12): (1-10+11)*12 = 24
(1, 10, 11, 13): No Solution!
(1, 10, 12, 12): (12-10)/(1/12) = 24
(1, 10, 12, 13): (1-13)*(10-12) = 24
(1, 10, 13, 13): No Solution!
(1, 11, 11, 11): No Solution!
(1, 11, 11, 12): (1+11/11)*12 = 24
(1, 11, 11, 13): (1+13/11)*11 = 24
(1, 11, 12, 12): (1-11+12)*12 = 24
(1, 11, 12, 13): (13-11)/(1/12) = 24
(1, 11, 13, 13): (1+11/13)*13 = 24
(1, 12, 12, 12): (1+12/12)*12 = 24
(1, 12, 12, 13): (1-12+13)*12 = 24
(1, 12, 13, 13): (1+13/13)*12 = 24
(1, 13, 13, 13): No Solution!
(2, 2, 2, 2): No Solution!
(2, 2, 2, 3): 2*2*(2*3) = 24
(2, 2, 2, 4): 2*2*(2+4) = 24
(2, 2, 2, 5): (2*5+2)*2 = 24
(2, 2, 2, 6): No Solution!
(2, 2, 2, 7): (2*7-2)*2 = 24
(2, 2, 2, 8): (2/2+2)*8 = 24
(2, 2, 2, 9): (2+9)*2+2 = 24
(2, 2, 2, 10): 2*2+2*10 = 24
(2, 2, 2, 11): (2/2+11)*2 = 24
(2, 2, 2, 12): 2/2*(2*12) = 24
(2, 2, 2, 13): 2*(13-2/2) = 24
(2, 2, 3, 3): 2*2*(3+3) = 24
(2, 2, 3, 4): (2*2+4)*3 = 24
(2, 2, 3, 5): (2*5-2)*3 = 24
(2, 2, 3, 6): (2/2+3)*6 = 24
(2, 2, 3, 7): (2/2+7)*3 = 24
(2, 2, 3, 8): 2/2*(3*8) = 24
(2, 2, 3, 9): 3*(9-2/2) = 24
(2, 2, 3, 10): 2*(3+10)-2 = 24
(2, 2, 3, 11): 2*(11-(2-3)) = 24
(2, 2, 3, 12): (3-2/2)*12 = 24
(2, 2, 3, 13): (2-3+13)*2 = 24
(2, 2, 4, 4): (2*4+4)*2 = 24
(2, 2, 4, 5): (2/2+5)*4 = 24
(2, 2, 4, 6): 2/2*(4*6) = 24
(2, 2, 4, 7): 4*(7-2/2) = 24
(2, 2, 4, 8): (4-2/2)*8 = 24
(2, 2, 4, 9): 2*9+(2+4) = 24
(2, 2, 4, 10): (2+10)/(2/4) = 24
(2, 2, 4, 11): 2+11/(2/4) = 24
(2, 2, 4, 12): 4-(2-12)*2 = 24
(2, 2, 4, 13): 13/(2/4)-2 = 24
(2, 2, 5, 5): 5*5-2/2 = 24
(2, 2, 5, 6): (5-2/2)*6 = 24
(2, 2, 5, 7): 2*5+2*7 = 24
(2, 2, 5, 8): 2*(5+8)-2 = 24
(2, 2, 5, 9): 2*(9-(2-5)) = 24
(2, 2, 5, 10): (2/5+2)*10 = 24
(2, 2, 5, 11): 2*2*(11-5) = 24
(2, 2, 5, 12): 12/(5/2-2) = 24
(2, 2, 5, 13): No Solution!
(2, 2, 6, 6): (2+6)/(2/6) = 24
(2, 2, 6, 7): (2+7)*2+6 = 24
(2, 2, 6, 8): 6*(8-2*2) = 24
(2, 2, 6, 9): 2*(6/2+9) = 24
(2, 2, 6, 10): (10-2)/(2/6) = 24
(2, 2, 6, 11): 6-(2-11)*2 = 24
(2, 2, 6, 12): (6-2)/(2/12) = 24
(2, 2, 6, 13): (2+13)*2-6 = 24
(2, 2, 7, 7): 2*(7-(2-7)) = 24
(2, 2, 7, 8): (7-2*2)*8 = 24
(2, 2, 7, 9): No Solution!
(2, 2, 7, 10): 2*(7+10/2) = 24
(2, 2, 7, 11): No Solution!
(2, 2, 7, 12): 2*7+12-2 = 24
(2, 2, 7, 13): 2*2+(7+13) = 24
(2, 2, 8, 8): (8-2)/(2/8) = 24
(2, 2, 8, 9): 2*9+8-2 = 24
(2, 2, 8, 10): 2*10+8/2 = 24
(2, 2, 8, 11): No Solution!
(2, 2, 8, 12): 12/(2/8*2) = 24
(2, 2, 8, 13): No Solution!
(2, 2, 9, 9): No Solution!
(2, 2, 9, 10): 10-(2-9)*2 = 24
(2, 2, 9, 11): 2*2+(9+11) = 24
(2, 2, 9, 12): 2*9+12/2 = 24
(2, 2, 9, 13): No Solution!
(2, 2, 10, 10): 2*2+(10+10) = 24
(2, 2, 10, 11): (2*11-10)*2 = 24
(2, 2, 10, 12): No Solution!
(2, 2, 10, 13): 2/2+(10+13) = 24
(2, 2, 11, 11): (2/11+2)*11 = 24
(2, 2, 11, 12): 2/2+(11+12) = 24
(2, 2, 11, 13): 2/2*(11+13) = 24
(2, 2, 12, 12): 2/2*(12+12) = 24
(2, 2, 12, 13): 12+13-2/2 = 24
(2, 2, 13, 13): (2-2/13)*13 = 24
(2, 3, 3, 3): 2*(3*3+3) = 24
(2, 3, 3, 4): No Solution!
(2, 3, 3, 5): 2*(3*5-3) = 24
(2, 3, 3, 6): 2*3+3*6 = 24
(2, 3, 3, 7): 2*3*(7-3) = 24
(2, 3, 3, 8): (3+3)/(2/8) = 24
(2, 3, 3, 9): 2*9+(3+3) = 24
(2, 3, 3, 10): 3*(3+10/2) = 24
(2, 3, 3, 11): 2*(3/3+11) = 24
(2, 3, 3, 12): 2/3*(3*12) = 24
(2, 3, 3, 13): (3+13)/(2/3) = 24
(2, 3, 4, 4): 4*4/(2/3) = 24
(2, 3, 4, 5): 4*(5-(2-3)) = 24
(2, 3, 4, 6): 3*(4/2+6) = 24
(2, 3, 4, 7): (2-3+7)*4 = 24
(2, 3, 4, 8): 3*(4+8/2) = 24
(2, 3, 4, 9): 2/3*(4*9) = 24
(2, 3, 4, 10): 3*(10-4/2) = 24
(2, 3, 4, 11): 2*(11-(3-4)) = 24
(2, 3, 4, 12): (4+12)/(2/3) = 24
(2, 3, 4, 13): 2*4+(3+13) = 24
(2, 3, 5, 5): 2+5*5-3 = 24
(2, 3, 5, 6): (3+5)/(2/6) = 24
(2, 3, 5, 7): 2+(3*5+7) = 24
(2, 3, 5, 8): 8/(2-5/3) = 24
(2, 3, 5, 9): 2*3*(9-5) = 24
(2, 3, 5, 10): 2*(10-(3-5)) = 24
(2, 3, 5, 11): (5+11)/(2/3) = 24
(2, 3, 5, 12): 12/(3-5/2) = 24
(2, 3, 5, 13): 2*3+(5+13) = 24
(2, 3, 6, 6): 2/3*(6*6) = 24
(2, 3, 6, 7): 3+7/(2/6) = 24
(2, 3, 6, 8): 3*6+8-2 = 24
(2, 3, 6, 9): (3-2/6)*9 = 24
(2, 3, 6, 10): (6+10)/(2/3) = 24
(2, 3, 6, 11): (11-3)/(2/6) = 24
(2, 3, 6, 12): 6+12/(2/3) = 24
(2, 3, 6, 13): 13/(3/6)-2 = 24
(2, 3, 7, 7): 2*7+(3+7) = 24
(2, 3, 7, 8): (2+7)/(3/8) = 24
(2, 3, 7, 9): (7+9)/(2/3) = 24
(2, 3, 7, 10): 2*10+7-3 = 24
(2, 3, 7, 11): 2*3+(7+11) = 24
(2, 3, 7, 12): (7-3)/(2/12) = 24
(2, 3, 7, 13): 2*7+13-3 = 24
(2, 3, 8, 8): (8+8)/(2/3) = 24
(2, 3, 8, 9): (9-3)/(2/8) = 24
(2, 3, 8, 10): 2*3+(8+10) = 24
(2, 3, 8, 11): (11-2)/(3/8) = 24
(2, 3, 8, 12): 8/(2/3)+12 = 24
(2, 3, 8, 13): 2*(3+13)-8 = 24
(2, 3, 9, 9): 2*(9/3+9) = 24
(2, 3, 9, 10): 9+10/(2/3) = 24
(2, 3, 9, 11): No Solution!
(2, 3, 9, 12): 12-2*(3-9) = 24
(2, 3, 9, 13): 2*3*(13-9) = 24
(2, 3, 10, 10): 10-2*(3-10) = 24
(2, 3, 10, 11): No Solution!
(2, 3, 10, 12): (10/2-3)*12 = 24
(2, 3, 10, 13): 3*(13-10/2) = 24
(2, 3, 11, 11): 2+3*11-11 = 24
(2, 3, 11, 12): 11+12-(2-3) = 24
(2, 3, 11, 13): 11-(2-3)*13 = 24
(2, 3, 12, 12): 12/(2/12*3) = 24
(2, 3, 12, 13): 2-3+(12+13) = 24
(2, 3, 13, 13): 3*13-(2+13) = 24
(2, 4, 4, 4): (4/2+4)*4 = 24
(2, 4, 4, 5): (2*5-4)*4 = 24
(2, 4, 4, 6): (4+4)/(2/6) = 24
(2, 4, 4, 7): 2*4*(7-4) = 24
(2, 4, 4, 8): (4+8)/(2/4) = 24
(2, 4, 4, 9): 4*(9-2)-4 = 24
(2, 4, 4, 10): 4+10/(2/4) = 24
(2, 4, 4, 11): 2*(4/4+11) = 24
(2, 4, 4, 12): 2/4*(4*12) = 24
(2, 4, 4, 13): 2*(13-4/4) = 24
(2, 4, 5, 5): 2*(5+5)+4 = 24
(2, 4, 5, 6): 4*5+6-2 = 24
(2, 4, 5, 7): (5+7)/(2/4) = 24
(2, 4, 5, 8): 4+8/(2/5) = 24
(2, 4, 5, 9): (2-5+9)*4 = 24
(2, 4, 5, 10): 2*5+(4+10) = 24
(2, 4, 5, 11): 2*4+(5+11) = 24
(2, 4, 5, 12): 2*12*(5-4) = 24
(2, 4, 5, 13): 2*(4-5+13) = 24
(2, 4, 6, 6): (6+6)/(2/4) = 24
(2, 4, 6, 7): 6/(2-7/4) = 24
(2, 4, 6, 8): 2/4*(6*8) = 24
(2, 4, 6, 9): 6+9/(2/4) = 24
(2, 4, 6, 10): 2*4+(6+10) = 24
(2, 4, 6, 11): 4/(2-11/6) = 24
(2, 4, 6, 12): 6/(2/4)+12 = 24
(2, 4, 6, 13): 4/(13/6-2) = 24
(2, 4, 7, 7): 2*(7+7)-4 = 24
(2, 4, 7, 8): 8/(2/7)-4 = 24
(2, 4, 7, 9): 2*4+(7+9) = 24
(2, 4, 7, 10): 7/(2/4)+10 = 24
(2, 4, 7, 11): (2-7+11)*4 = 24
(2, 4, 7, 12): 12/(4-7/2) = 24
(2, 4, 7, 13): No Solution!
(2, 4, 8, 8): 8+8/(2/4) = 24
(2, 4, 8, 9): 8*(9-2-4) = 24
(2, 4, 8, 10): (10-4)/(2/8) = 24
(2, 4, 8, 11): 2+11/(4/8) = 24
(2, 4, 8, 12): (8-4)/(2/12) = 24
(2, 4, 8, 13): 13/(4/8)-2 = 24
(2, 4, 9, 9): 2+4+(9+9) = 24
(2, 4, 9, 10): 2*9+10-4 = 24
(2, 4, 9, 11): No Solution!
(2, 4, 9, 12): 12/(9/2-4) = 24
(2, 4, 9, 13): 4/2+(9+13) = 24
(2, 4, 10, 10): (2+4/10)*10 = 24
(2, 4, 10, 11): 4*(11-10/2) = 24
(2, 4, 10, 12): 4/2+(10+12) = 24
(2, 4, 10, 13): 2*4*(13-10) = 24
(2, 4, 11, 11): 4/2+(11+11) = 24
(2, 4, 11, 12): 4*(11-2)-12 = 24
(2, 4, 11, 13): No Solution!
(2, 4, 12, 12): 4*(12-12/2) = 24
(2, 4, 12, 13): No Solution!
(2, 4, 13, 13): 13+13-4/2 = 24
(2, 5, 5, 5): No Solution!
(2, 5, 5, 6): No Solution!
(2, 5, 5, 7): 2*7+(5+5) = 24
(2, 5, 5, 8): (2+5/5)*8 = 24
(2, 5, 5, 9): 2*5+(5+9) = 24
(2, 5, 5, 10): 5*(5-2/10) = 24
(2, 5, 5, 11): 2*(5/5+11) = 24
(2, 5, 5, 12): 2/5*(5*12) = 24
(2, 5, 5, 13): 2*(13-5/5) = 24
(2, 5, 6, 6): (2*5-6)*6 = 24
(2, 5, 6, 7): 2*6+(5+7) = 24
(2, 5, 6, 8): 2*5+(6+8) = 24
(2, 5, 6, 9): 6/(2/5)+9 = 24
(2, 5, 6, 10): 2/5*(6*10) = 24
(2, 5, 6, 11): (2-6)*(5-11) = 24
(2, 5, 6, 12): 12/(2/5)-6 = 24
(2, 5, 6, 13): (13-5)/(2/6) = 24
(2, 5, 7, 7): 2*5+(7+7) = 24
(2, 5, 7, 8): (2*5-7)*8 = 24
(2, 5, 7, 9): 5*7-(2+9) = 24
(2, 5, 7, 10): 2*(10-(5-7)) = 24
(2, 5, 7, 11): 2*11+7-5 = 24
(2, 5, 7, 12): No Solution!
(2, 5, 7, 13): 2*13+5-7 = 24
(2, 5, 8, 8): 5*8-2*8 = 24
(2, 5, 8, 9): 8*9/(5-2) = 24
(2, 5, 8, 10): (2-10)*(5-8) = 24
(2, 5, 8, 11): (11-5)/(2/8) = 24
(2, 5, 8, 12): (2+8)/(5/12) = 24
(2, 5, 8, 13): (2+13)/(5/8) = 24
(2, 5, 9, 9): No Solution!
(2, 5, 9, 10): 2*10+9-5 = 24
(2, 5, 9, 11): 2*9+11-5 = 24
(2, 5, 9, 12): (9-5)/(2/12) = 24
(2, 5, 9, 13): No Solution!
(2, 5, 10, 10): (2+10)/(5/10) = 24
(2, 5, 10, 11): 2+11/(5/10) = 24
(2, 5, 10, 12): 10-2*(5-12) = 24
(2, 5, 10, 13): 13/(5/10)-2 = 24
(2, 5, 11, 11): No Solution!
(2, 5, 11, 12): 12/(11/2-5) = 24
(2, 5, 11, 13): No Solution!
(2, 5, 12, 12): (12-2)/(5/12) = 24
(2, 5, 12, 13): 5+(12/2+13) = 24
(2, 5, 13, 13): No Solution!
(2, 6, 6, 6): 6+6/(2/6) = 24
(2, 6, 6, 7): 6*(7-6/2) = 24
(2, 6, 6, 8): (6-6/2)*8 = 24
(2, 6, 6, 9): (6*9-6)/2 = 24
(2, 6, 6, 10): 10/(2/6)-6 = 24
(2, 6, 6, 11): 2*(6/6+11) = 24
(2, 6, 6, 12): 2/6*(6*12) = 24
(2, 6, 6, 13): 2*(13-6/6) = 24
(2, 6, 7, 7): No Solution!
(2, 6, 7, 8): (2-6+7)*8 = 24
(2, 6, 7, 9): 2*6*(9-7) = 24
(2, 6, 7, 10): (2*7-10)*6 = 24
(2, 6, 7, 11): 2*(11-(6-7)) = 24
(2, 6, 7, 12): 2*12*(7-6) = 24
(2, 6, 7, 13): 7+13-(2-6) = 24
(2, 6, 8, 8): 6*(8-8/2) = 24
(2, 6, 8, 9): 2/6*(8*9) = 24
(2, 6, 8, 10): 8/(2-10/6) = 24
(2, 6, 8, 11): 2*11+8-6 = 24
(2, 6, 8, 12): (12-6)/(2/8) = 24
(2, 6, 8, 13): 6/2+(8+13) = 24
(2, 6, 9, 9): (2+6/9)*9 = 24
(2, 6, 9, 10): 6*(9-10/2) = 24
(2, 6, 9, 11): 11/(2/6)-9 = 24
(2, 6, 9, 12): 6/2+(9+12) = 24
(2, 6, 9, 13): No Solution!
(2, 6, 10, 10): 2*10+10-6 = 24
(2, 6, 10, 11): 6/2+(10+11) = 24
(2, 6, 10, 12): (10-6)/(2/12) = 24
(2, 6, 10, 13): 6+(10/2+13) = 24
(2, 6, 11, 11): No Solution!
(2, 6, 11, 12): 2+12/(6/11) = 24
(2, 6, 11, 13): 2*6*(13-11) = 24
(2, 6, 12, 12): 12/(2/6)-12 = 24
(2, 6, 12, 13): 13/(6/12)-2 = 24
(2, 6, 13, 13): No Solution!
(2, 7, 7, 7): No Solution!
(2, 7, 7, 8): (2+7/7)*8 = 24
(2, 7, 7, 9): No Solution!
(2, 7, 7, 10): (2+10/7)*7 = 24
(2, 7, 7, 11): 2*(7/7+11) = 24
(2, 7, 7, 12): 2/7*(7*12) = 24
(2, 7, 7, 13): 2*(13-7/7) = 24
(2, 7, 8, 8): (7-8/2)*8 = 24
(2, 7, 8, 9): 2*(7+9)-8 = 24
(2, 7, 8, 10): No Solution!
(2, 7, 8, 11): (2*7-11)*8 = 24
(2, 7, 8, 12): 2*12*(8-7) = 24
(2, 7, 8, 13): (13-7)/(2/8) = 24
(2, 7, 9, 9): No Solution!
(2, 7, 9, 10): 9+10-(2-7) = 24
(2, 7, 9, 11): 2*11+9-7 = 24
(2, 7, 9, 12): No Solution!
(2, 7, 9, 13): 2*9+13-7 = 24
(2, 7, 10, 10): (2-10)*(7-10) = 24
(2, 7, 10, 11): 10/(2/7)-11 = 24
(2, 7, 10, 12): 7+(10/2+12) = 24
(2, 7, 10, 13): No Solution!
(2, 7, 11, 11): No Solution!
(2, 7, 11, 12): (11-7)/(2/12) = 24
(2, 7, 11, 13): No Solution!
(2, 7, 12, 12): (2+12)/(7/12) = 24
(2, 7, 12, 13): 12/(7-13/2) = 24
(2, 7, 13, 13): No Solution!
(2, 8, 8, 8): 8/(2/8)-8 = 24
(2, 8, 8, 9): (2-8+9)*8 = 24
(2, 8, 8, 10): 8*(8-10/2) = 24
(2, 8, 8, 11): 2*(8/8+11) = 24
(2, 8, 8, 12): 2/8*(8*12) = 24
(2, 8, 8, 13): 2*(13-8/8) = 24
(2, 8, 9, 9): (2+9/9)*8 = 24
(2, 8, 9, 10): (2-9+10)*8 = 24
(2, 8, 9, 11): 8/2+(9+11) = 24
(2, 8, 9, 12): 9/(2/8)-12 = 24
(2, 8, 9, 13): 9/(2-13/8) = 24
(2, 8, 10, 10): 8/2+(10+10) = 24
(2, 8, 10, 11): 8+(10/2+11) = 24
(2, 8, 10, 12): 8+(10+12/2) = 24
(2, 8, 10, 13): 2*13+8-10 = 24
(2, 8, 11, 11): (2+11/11)*8 = 24
(2, 8, 11, 12): (2-11+12)*8 = 24
(2, 8, 11, 13): No Solution!
(2, 8, 12, 12): (12-8)/(2/12) = 24
(2, 8, 12, 13): (2-12+13)*8 = 24
(2, 8, 13, 13): (2+13/13)*8 = 24
(2, 9, 9, 9): No Solution!
(2, 9, 9, 10): No Solution!
(2, 9, 9, 11): 2*(9/9+11) = 24
(2, 9, 9, 12): 2/9*(9*12) = 24
(2, 9, 9, 13): 2*(13-9/9) = 24
(2, 9, 10, 10): 9+(10/2+10) = 24
(2, 9, 10, 11): 2*(11-(9-10)) = 24
(2, 9, 10, 12): 2*12*(10-9) = 24
(2, 9, 10, 13): 2*10+13-9 = 24
(2, 9, 11, 11): 2*11+11-9 = 24
(2, 9, 11, 12): No Solution!
(2, 9, 11, 13): 2*13+9-11 = 24
(2, 9, 12, 12): No Solution!
(2, 9, 12, 13): (13-9)/(2/12) = 24
(2, 9, 13, 13): (9+13)/2+13 = 24
(2, 10, 10, 10): No Solution!
(2, 10, 10, 11): 2*(10/10+11) = 24
(2, 10, 10, 12): 2/10*(10*12) = 24
(2, 10, 10, 13): 2*(13-10/10) = 24
(2, 10, 11, 11): 2*(11-(10-11)) = 24
(2, 10, 11, 12): 2*11+12-10 = 24
(2, 10, 11, 13): 2*(10-11+13) = 24
(2, 10, 12, 12): No Solution!
(2, 10, 12, 13): 2*13+10-12 = 24
(2, 10, 13, 13): No Solution!
(2, 11, 11, 11): 2*(11/11+11) = 24
(2, 11, 11, 12): 2/11*(11*12) = 24
(2, 11, 11, 13): 2*(13-11/11) = 24
(2, 11, 12, 12): 2*(11+12/12) = 24
(2, 11, 12, 13): 2*(11-12+13) = 24
(2, 11, 13, 13): 2*(11+13/13) = 24
(2, 12, 12, 12): 2/12*(12*12) = 24
(2, 12, 12, 13): 2*(13-12/12) = 24
(2, 12, 13, 13): 2/13*(12*13) = 24
(2, 13, 13, 13): 2*(13-13/13) = 24
(3, 3, 3, 3): 3*3*3-3 = 24
(3, 3, 3, 4): (3*3-3)*4 = 24
(3, 3, 3, 5): 3*3+3*5 = 24
(3, 3, 3, 6): (3/3+3)*6 = 24
(3, 3, 3, 7): (3/3+7)*3 = 24
(3, 3, 3, 8): 3/3*(3*8) = 24
(3, 3, 3, 9): 3*(9-3/3) = 24
(3, 3, 3, 10): 3*10-(3+3) = 24
(3, 3, 3, 11): 3*11-3*3 = 24
(3, 3, 3, 12): (3-3/3)*12 = 24
(3, 3, 3, 13): No Solution!
(3, 3, 4, 4): (3*4-4)*3 = 24
(3, 3, 4, 5): (3/3+5)*4 = 24
(3, 3, 4, 6): 3/3*(4*6) = 24
(3, 3, 4, 7): 4*(7-3/3) = 24
(3, 3, 4, 8): (4-3/3)*8 = 24
(3, 3, 4, 9): (3+9/3)*4 = 24
(3, 3, 4, 10): No Solution!
(3, 3, 4, 11): 3*3+(4+11) = 24
(3, 3, 4, 12): 3*(4+12/3) = 24
(3, 3, 4, 13): 3*(13-4)-3 = 24
(3, 3, 5, 5): 5*5-3/3 = 24
(3, 3, 5, 6): (5-3/3)*6 = 24
(3, 3, 5, 7): (3*5-7)*3 = 24
(3, 3, 5, 8): No Solution!
(3, 3, 5, 9): (3+5)/(3/9) = 24
(3, 3, 5, 10): (3-3/5)*10 = 24
(3, 3, 5, 11): No Solution!
(3, 3, 5, 12): 3*5+12-3 = 24
(3, 3, 5, 13): 3*13-3*5 = 24
(3, 3, 6, 6): 3*(6/3+6) = 24
(3, 3, 6, 7): 3*7+6-3 = 24
(3, 3, 6, 8): (3+6)/(3/8) = 24
(3, 3, 6, 9): (3+9)/(3/6) = 24
(3, 3, 6, 10): 3*(10-6/3) = 24
(3, 3, 6, 11): 3*11-(3+6) = 24
(3, 3, 6, 12): 3+3+(6+12) = 24
(3, 3, 6, 13): 6*(13-3*3) = 24
(3, 3, 7, 7): (3/7+3)*7 = 24
(3, 3, 7, 8): 3*3+(7+8) = 24
(3, 3, 7, 9): 3+9/(3/7) = 24
(3, 3, 7, 10): No Solution!
(3, 3, 7, 11): (3+3)*(11-7) = 24
(3, 3, 7, 12): (3*3-7)*12 = 24
(3, 3, 7, 13): (3*7-13)*3 = 24
(3, 3, 8, 8): 8/(3-8/3) = 24
(3, 3, 8, 9): 9-(3-8)*3 = 24
(3, 3, 8, 10): 8/(10/3-3) = 24
(3, 3, 8, 11): No Solution!
(3, 3, 8, 12): (12-3)/(3/8) = 24
(3, 3, 8, 13): (3-8+13)*3 = 24
(3, 3, 9, 9): (3-3/9)*9 = 24
(3, 3, 9, 10): 3*10+3-9 = 24
(3, 3, 9, 11): (11-3)/(3/9) = 24
(3, 3, 9, 12): (9-3)/(3/12) = 24
(3, 3, 9, 13): (3+3)*(13-9) = 24
(3, 3, 10, 10): No Solution!
(3, 3, 10, 11): No Solution!
(3, 3, 10, 12): No Solution!
(3, 3, 10, 13): 3/3+(10+13) = 24
(3, 3, 11, 11): No Solution!
(3, 3, 11, 12): 3/3+(11+12) = 24
(3, 3, 11, 13): 3/3*(11+13) = 24
(3, 3, 12, 12): 3/3*(12+12) = 24
(3, 3, 12, 13): 12+13-3/3 = 24
(3, 3, 13, 13): No Solution!
(3, 4, 4, 4): (3+4)*4-4 = 24
(3, 4, 4, 5): 3+(4*4+5) = 24
(3, 4, 4, 6): (3+4/4)*6 = 24
(3, 4, 4, 7): 3*(4/4+7) = 24
(3, 4, 4, 8): 3/4*(4*8) = 24
(3, 4, 4, 9): (4+4)/(3/9) = 24
(3, 4, 4, 10): 4*(10-3)-4 = 24
(3, 4, 4, 11): 4*4+11-3 = 24
(3, 4, 4, 12): (3-4/4)*12 = 24
(3, 4, 4, 13): 4*(13-3-4) = 24
(3, 4, 5, 5): 3*5+(4+5) = 24
(3, 4, 5, 6): (3-4+5)*6 = 24
(3, 4, 5, 7): 3*4+(5+7) = 24
(3, 4, 5, 8): (4+5)/(3/8) = 24
(3, 4, 5, 9): (3*5-9)*4 = 24
(3, 4, 5, 10): 3/5*(4*10) = 24
(3, 4, 5, 11): 3*11-(4+5) = 24
(3, 4, 5, 12): 4+12/(3/5) = 24
(3, 4, 5, 13): (5+13)/(3/4) = 24
(3, 4, 6, 6): 3*4+(6+6) = 24
(3, 4, 6, 7): No Solution!
(3, 4, 6, 8): (4+8)/(3/6) = 24
(3, 4, 6, 9): (3-6+9)*4 = 24
(3, 4, 6, 10): 4+10/(3/6) = 24
(3, 4, 6, 11): 6/(3-11/4) = 24
(3, 4, 6, 12): (6+12)/(3/4) = 24
(3, 4, 6, 13): (3+13)/(4/6) = 24
(3, 4, 7, 7): 3*7+7-4 = 24
(3, 4, 7, 8): 8-(3-7)*4 = 24
(3, 4, 7, 9): 3*4*(9-7) = 24
(3, 4, 7, 10): (3-7+10)*4 = 24
(3, 4, 7, 11): (7+11)/(3/4) = 24
(3, 4, 7, 12): 12/(3/7)-4 = 24
(3, 4, 7, 13): No Solution!
(3, 4, 8, 8): No Solution!
(3, 4, 8, 9): (3+9)/(4/8) = 24
(3, 4, 8, 10): (8+10)/(3/4) = 24
(3, 4, 8, 11): 8/(4-11/3) = 24
(3, 4, 8, 12): 8+12/(3/4) = 24
(3, 4, 8, 13): (13-4)/(3/8) = 24
(3, 4, 9, 9): (9+9)/(3/4) = 24
(3, 4, 9, 10): No Solution!
(3, 4, 9, 11): 3*4*(11-9) = 24
(3, 4, 9, 12): 9/(3/4)+12 = 24
(3, 4, 9, 13): 3*(4-9+13) = 24
(3, 4, 10, 10): 3*10+4-10 = 24
(3, 4, 10, 11): No Solution!
(3, 4, 10, 12): (10-4)/(3/12) = 24
(3, 4, 10, 13): 4*10-(3+13) = 24
(3, 4, 11, 11): No Solution!
(3, 4, 11, 12): (11-3)/(4/12) = 24
(3, 4, 11, 13): 3*4*(13-11) = 24
(3, 4, 12, 12): 12-(3-4)*12 = 24
(3, 4, 12, 13): 3-4+(12+13) = 24
(3, 4, 13, 13): No Solution!
(3, 5, 5, 5): No Solution!
(3, 5, 5, 6): (3+5/5)*6 = 24
(3, 5, 5, 7): 3*(5/5+7) = 24
(3, 5, 5, 8): 3/5*(5*8) = 24
(3, 5, 5, 9): 3*(9-5/5) = 24
(3, 5, 5, 10): No Solution!
(3, 5, 5, 11): 3+5+(5+11) = 24
(3, 5, 5, 12): (3-5/5)*12 = 24
(3, 5, 5, 13): No Solution!
(3, 5, 6, 6): (3-5+6)*6 = 24
(3, 5, 6, 7): (5+7)/(3/6) = 24
(3, 5, 6, 8): (5-6/3)*8 = 24
(3, 5, 6, 9): 3+5*6-9 = 24
(3, 5, 6, 10): 3*(6+10/5) = 24
(3, 5, 6, 11): (3*5-11)*6 = 24
(3, 5, 6, 12): 12-(3-5)*6 = 24
(3, 5, 6, 13): (3-6)*(5-13) = 24
(3, 5, 7, 7): No Solution!
(3, 5, 7, 8): 3*7+8-5 = 24
(3, 5, 7, 9): (5-7/3)*9 = 24
(3, 5, 7, 10): 10-(3-5)*7 = 24
(3, 5, 7, 11): (7*11-5)/3 = 24
(3, 5, 7, 12): (3+7)/(5/12) = 24
(3, 5, 7, 13): (5*13+7)/3 = 24
(3, 5, 8, 8): 8-(3-5)*8 = 24
(3, 5, 8, 9): 3*9+5-8 = 24
(3, 5, 8, 10): No Solution!
(3, 5, 8, 11): (3-11)*(5-8) = 24
(3, 5, 8, 12): (3+12)/(5/8) = 24
(3, 5, 8, 13): 5*8-(3+13) = 24
(3, 5, 9, 9): 9+9/(3/5) = 24
(3, 5, 9, 10): (3+9)/(5/10) = 24
(3, 5, 9, 11): No Solution!
(3, 5, 9, 12): (5-9/3)*12 = 24
(3, 5, 9, 13): (13-5)/(3/9) = 24
(3, 5, 10, 10): 3*(10-10/5) = 24
(3, 5, 10, 11): 3*10+5-11 = 24
(3, 5, 10, 12): 10+12-(3-5) = 24
(3, 5, 10, 13): 3*13-(5+10) = 24
(3, 5, 11, 11): 11+11-(3-5) = 24
(3, 5, 11, 12): (11-5)/(3/12) = 24
(3, 5, 11, 13): No Solution!
(3, 5, 12, 12): 5*12-3*12 = 24
(3, 5, 12, 13): (13-3)/(5/12) = 24
(3, 5, 13, 13): 3-5+(13+13) = 24
(3, 6, 6, 6): (6+6)/(3/6) = 24
(3, 6, 6, 7): 3*(6/6+7) = 24
(3, 6, 6, 8): 3/6*(6*8) = 24
(3, 6, 6, 9): 6+9/(3/6) = 24
(3, 6, 6, 10): (6-3)*10-6 = 24
(3, 6, 6, 11): (6*11+6)/3 = 24
(3, 6, 6, 12): 6/(3/6)+12 = 24
(3, 6, 6, 13): (6*13-6)/3 = 24
(3, 6, 7, 7): (3+7/7)*6 = 24
(3, 6, 7, 8): 3*8*(7-6) = 24
(3, 6, 7, 9): 6*(7-9/3) = 24
(3, 6, 7, 10): 7/(3/6)+10 = 24
(3, 6, 7, 11): No Solution!
(3, 6, 7, 12): (3-7+6)*12 = 24
(3, 6, 7, 13): 3*6+13-7 = 24
(3, 6, 8, 8): 8+8/(3/6) = 24
(3, 6, 8, 9): (6-9/3)*8 = 24
(3, 6, 8, 10): 3*(6-8+10) = 24
(3, 6, 8, 11): No Solution!
(3, 6, 8, 12): 6*(8-12/3) = 24
(3, 6, 8, 13): 8+13-(3-6) = 24
(3, 6, 9, 9): (3+9/9)*6 = 24
(3, 6, 9, 10): 10/(3/9)-6 = 24
(3, 6, 9, 11): (3-11)*(6-9) = 24
(3, 6, 9, 12): 3/9*(6*12) = 24
(3, 6, 9, 13): 6/3+(9+13) = 24
(3, 6, 10, 10): (3-6/10)*10 = 24
(3, 6, 10, 11): 10+11-(3-6) = 24
(3, 6, 10, 12): 6/3+(10+12) = 24
(3, 6, 10, 13): No Solution!
(3, 6, 11, 11): 6/3+(11+11) = 24
(3, 6, 11, 12): (3-11+12)*6 = 24
(3, 6, 11, 13): 3*(6-11+13) = 24
(3, 6, 12, 12): (12-6)/(3/12) = 24
(3, 6, 12, 13): (3-12+13)*6 = 24
(3, 6, 13, 13): 13+13-6/3 = 24
(3, 7, 7, 7): 3*(7/7+7) = 24
(3, 7, 7, 8): 3/7*(7*8) = 24
(3, 7, 7, 9): 3*(9-7/7) = 24
(3, 7, 7, 10): 3*7+10-7 = 24
(3, 7, 7, 11): No Solution!
(3, 7, 7, 12): (3-7/7)*12 = 24
(3, 7, 7, 13): 7+13-(3-7) = 24
(3, 7, 8, 8): 3*(7+8/8) = 24
(3, 7, 8, 9): 3*(7-8+9) = 24
(3, 7, 8, 10): No Solution!
(3, 7, 8, 11): 3*7+11-8 = 24
(3, 7, 8, 12): (7-12/3)*8 = 24
(3, 7, 8, 13): 3*13-(7+8) = 24
(3, 7, 9, 9): 3*(7+9/9) = 24
(3, 7, 9, 10): 3*9+7-10 = 24
(3, 7, 9, 11): 9+11-(3-7) = 24
(3, 7, 9, 12): 3*7+12-9 = 24
(3, 7, 9, 13): (7-13/3)*9 = 24
(3, 7, 10, 10): 3*(7+10/10) = 24
(3, 7, 10, 11): (3-11)*(7-10) = 24
(3, 7, 10, 12): No Solution!
(3, 7, 10, 13): 3*7+13-10 = 24
(3, 7, 11, 11): 3*(7+11/11) = 24
(3, 7, 11, 12): (3+11)/(7/12) = 24
(3, 7, 11, 13): No Solution!
(3, 7, 12, 12): 3*(7+12/12) = 24
(3, 7, 12, 13): (13-7)/(3/12) = 24
(3, 7, 13, 13): 3*(7+13/13) = 24
(3, 8, 8, 8): 3/8*(8*8) = 24
(3, 8, 8, 9): 3*(9-8/8) = 24
(3, 8, 8, 10): (8*10-8)/3 = 24
(3, 8, 8, 11): 8+11-(3-8) = 24
(3, 8, 8, 12): 12/(3/8)-8 = 24
(3, 8, 8, 13): No Solution!
(3, 8, 9, 9): 3/9*(8*9) = 24
(3, 8, 9, 10): 3*8*(10-9) = 24
(3, 8, 9, 11): 3*9+8-11 = 24
(3, 8, 9, 12): (3-9+8)*12 = 24
(3, 8, 9, 13): 8+(9/3+13) = 24
(3, 8, 10, 10): 3/10*(8*10) = 24
(3, 8, 10, 11): 3*8*(11-10) = 24
(3, 8, 10, 12): 10*12/(8-3) = 24
(3, 8, 10, 13): No Solution!
(3, 8, 11, 11): 3/11*(8*11) = 24
(3, 8, 11, 12): 3*8*(12-11) = 24
(3, 8, 11, 13): No Solution!
(3, 8, 12, 12): 3/12*(8*12) = 24
(3, 8, 12, 13): (3+13)/(8/12) = 24
(3, 8, 13, 13): 3/13*(8*13) = 24
(3, 9, 9, 9): 3*(9-9/9) = 24
(3, 9, 9, 10): 3*(9-10+9) = 24
(3, 9, 9, 11): 11/(3/9)-9 = 24
(3, 9, 9, 12): 9/3+(9+12) = 24
(3, 9, 9, 13): (3-9)*(9-13) = 24
(3, 9, 10, 10): 3*(9-10/10) = 24
(3, 9, 10, 11): 9/3+(10+11) = 24
(3, 9, 10, 12): (3-10+9)*12 = 24
(3, 9, 10, 13): 3*9+10-13 = 24
(3, 9, 11, 11): (3-9/11)*11 = 24
(3, 9, 11, 12): 9+(11+12/3) = 24
(3, 9, 11, 13): (3+9)*(13-11) = 24
(3, 9, 12, 12): 12/(3/9)-12 = 24
(3, 9, 12, 13): 3*(9-13+12) = 24
(3, 9, 13, 13): 3*(9-13/13) = 24
(3, 10, 10, 10): No Solution!
(3, 10, 10, 11): No Solution!
(3, 10, 10, 12): (3-10/10)*12 = 24
(3, 10, 10, 13): No Solution!
(3, 10, 11, 11): No Solution!
(3, 10, 11, 12): (3-11+10)*12 = 24
(3, 10, 11, 13): (3-11)*(10-13) = 24
(3, 10, 12, 12): No Solution!
(3, 10, 12, 13): No Solution!
(3, 10, 13, 13): No Solution!
(3, 11, 11, 11): No Solution!
(3, 11, 11, 12): (3-11/11)*12 = 24
(3, 11, 11, 13): No Solution!
(3, 11, 12, 12): (3-12+11)*12 = 24
(3, 11, 12, 13): No Solution!
(3, 11, 13, 13): No Solution!
(3, 12, 12, 12): (3-12/12)*12 = 24
(3, 12, 12, 13): (3-13+12)*12 = 24
(3, 12, 13, 13): (3-13/13)*12 = 24
(3, 13, 13, 13): No Solution!
(4, 4, 4, 4): 4*4+(4+4) = 24
(4, 4, 4, 5): (4/4+5)*4 = 24
(4, 4, 4, 6): 4/4*(4*6) = 24
(4, 4, 4, 7): 4*(7-4/4) = 24
(4, 4, 4, 8): (4-4/4)*8 = 24
(4, 4, 4, 9): 4-(4-9)*4 = 24
(4, 4, 4, 10): (4*4-10)*4 = 24
(4, 4, 4, 11): 4*(11-4)-4 = 24
(4, 4, 4, 12): (4+4)/(4/12) = 24
(4, 4, 4, 13): No Solution!
(4, 4, 5, 5): 5*5-4/4 = 24
(4, 4, 5, 6): (5-4/4)*6 = 24
(4, 4, 5, 7): (4-5+7)*4 = 24
(4, 4, 5, 8): 5*8-4*4 = 24
(4, 4, 5, 9): No Solution!
(4, 4, 5, 10): 4*(4+10/5) = 24
(4, 4, 5, 11): 4*11-4*5 = 24
(4, 4, 5, 12): 4*(12-5)-4 = 24
(4, 4, 5, 13): 4*4+13-5 = 24
(4, 4, 6, 6): No Solution!
(4, 4, 6, 7): No Solution!
(4, 4, 6, 8): (4-6+8)*4 = 24
(4, 4, 6, 9): 4/6*(4*9) = 24
(4, 4, 6, 10): 4-(4-6)*10 = 24
(4, 4, 6, 11): 4-4*(6-11) = 24
(4, 4, 6, 12): (4+12)/(4/6) = 24
(4, 4, 6, 13): 4*(13-6)-4 = 24
(4, 4, 7, 7): (4-4/7)*7 = 24
(4, 4, 7, 8): 4*7+4-8 = 24
(4, 4, 7, 9): (4-7+9)*4 = 24
(4, 4, 7, 10): (4+4)*(10-7) = 24
(4, 4, 7, 11): No Solution!
(4, 4, 7, 12): (4-7)*(4-12) = 24
(4, 4, 7, 13): 4*13-4*7 = 24
(4, 4, 8, 8): (4+8)/(4/8) = 24
(4, 4, 8, 9): 4*9-(4+8) = 24
(4, 4, 8, 10): 4+10/(4/8) = 24
(4, 4, 8, 11): 8*(11-4-4) = 24
(4, 4, 8, 12): 4/8*(4*12) = 24
(4, 4, 8, 13): (4*4-13)*8 = 24
(4, 4, 9, 9): No Solution!
(4, 4, 9, 10): No Solution!
(4, 4, 9, 11): (4-9+11)*4 = 24
(4, 4, 9, 12): 4*(9-12/4) = 24
(4, 4, 9, 13): No Solution!
(4, 4, 10, 10): (10*10-4)/4 = 24
(4, 4, 10, 11): No Solution!
(4, 4, 10, 12): 4*10-(4+12) = 24
(4, 4, 10, 13): 4/4+(10+13) = 24
(4, 4, 11, 11): No Solution!
(4, 4, 11, 12): 4/4+(11+12) = 24
(4, 4, 11, 13): 4/4*(11+13) = 24
(4, 4, 12, 12): 4/4*(12+12) = 24
(4, 4, 12, 13): 12+13-4/4 = 24
(4, 4, 13, 13): No Solution!
(4, 5, 5, 5): 4*(5/5+5) = 24
(4, 5, 5, 6): 4/5*(5*6) = 24
(4, 5, 5, 7): 4*(7-5/5) = 24
(4, 5, 5, 8): (4-5/5)*8 = 24
(4, 5, 5, 9): 4*5+9-5 = 24
(4, 5, 5, 10): 4+5+(5+10) = 24
(4, 5, 5, 11): No Solution!
(4, 5, 5, 12): No Solution!
(4, 5, 5, 13): No Solution!
(4, 5, 6, 6): 4*(5+6/6) = 24
(4, 5, 6, 7): 4*(5-6+7) = 24
(4, 5, 6, 8): (4-6+5)*8 = 24
(4, 5, 6, 9): 4+5+(6+9) = 24
(4, 5, 6, 10): 4*5+10-6 = 24
(4, 5, 6, 11): (5+11)/(4/6) = 24
(4, 5, 6, 12): (4+6)/(5/12) = 24
(4, 5, 6, 13): 6*(13-4-5) = 24
(4, 5, 7, 7): 4*(5+7/7) = 24
(4, 5, 7, 8): (5+7)/(4/8) = 24
(4, 5, 7, 9): 4*7+5-9 = 24
(4, 5, 7, 10): 4-(5-7)*10 = 24
(4, 5, 7, 11): 4*5+11-7 = 24
(4, 5, 7, 12): 4*12/(7-5) = 24
(4, 5, 7, 13): (5+7*13)/4 = 24
(4, 5, 8, 8): (5-8/4)*8 = 24
(4, 5, 8, 9): 4*(5-8+9) = 24
(4, 5, 8, 10): (4+8)/(5/10) = 24
(4, 5, 8, 11): (4+11)/(5/8) = 24
(4, 5, 8, 12): 4*5+12-8 = 24
(4, 5, 8, 13): 4*8+5-13 = 24
(4, 5, 9, 9): 4*(5+9/9) = 24
(4, 5, 9, 10): (4-10)*(5-9) = 24
(4, 5, 9, 11): No Solution!
(4, 5, 9, 12): 9+12/(4/5) = 24
(4, 5, 9, 13): 4*5+13-9 = 24
(4, 5, 10, 10): 4+10/(5/10) = 24
(4, 5, 10, 11): 4*10-(5+11) = 24
(4, 5, 10, 12): 4/10*(5*12) = 24
(4, 5, 10, 13): 10+13-(4-5) = 24
(4, 5, 11, 11): 4*(5+11/11) = 24
(4, 5, 11, 12): 11+12-(4-5) = 24
(4, 5, 11, 13): 11-(4-5)*13 = 24
(4, 5, 12, 12): (5-12/4)*12 = 24
(4, 5, 12, 13): (13-5)/(4/12) = 24
(4, 5, 13, 13): 4*(5+13/13) = 24
(4, 6, 6, 6): 4/6*(6*6) = 24
(4, 6, 6, 7): 4*(7-6/6) = 24
(4, 6, 6, 8): (6+6)/(4/8) = 24
(4, 6, 6, 9): 4*9-(6+6) = 24
(4, 6, 6, 10): (6+10)/(4/6) = 24
(4, 6, 6, 11): No Solution!
(4, 6, 6, 12): 6+12/(4/6) = 24
(4, 6, 6, 13): No Solution!
(4, 6, 7, 7): 4/7*(6*7) = 24
(4, 6, 7, 8): 4*6*(8-7) = 24
(4, 6, 7, 9): (7+9)/(4/6) = 24
(4, 6, 7, 10): 4*7+6-10 = 24
(4, 6, 7, 11): No Solution!
(4, 6, 7, 12): 6*(7-12/4) = 24
(4, 6, 7, 13): No Solution!
(4, 6, 8, 8): (8+8)/(4/6) = 24
(4, 6, 8, 9): 6+9/(4/8) = 24
(4, 6, 8, 10): 4-(6-8)*10 = 24
(4, 6, 8, 11): No Solution!
(4, 6, 8, 12): 8/(4/6)+12 = 24
(4, 6, 8, 13): 8*(13-4-6) = 24
(4, 6, 9, 9): 4/9*(6*9) = 24
(4, 6, 9, 10): 9+10/(4/6) = 24
(4, 6, 9, 11): No Solution!
(4, 6, 9, 12): (4+12)/(6/9) = 24
(4, 6, 9, 13): 9+13-(4-6) = 24
(4, 6, 10, 10): 4/10*(6*10) = 24
(4, 6, 10, 11): 4*6*(11-10) = 24
(4, 6, 10, 12): 12/(4/10)-6 = 24
(4, 6, 10, 13): No Solution!
(4, 6, 11, 11): 4/11*(6*11) = 24
(4, 6, 11, 12): 4*6*(12-11) = 24
(4, 6, 11, 13): No Solution!
(4, 6, 12, 12): 4/12*(6*12) = 24
(4, 6, 12, 13): 4*6*(13-12) = 24
(4, 6, 13, 13): 4/13*(6*13) = 24
(4, 7, 7, 7): 4*(7-7/7) = 24
(4, 7, 7, 8): (4-7/7)*8 = 24
(4, 7, 7, 9): No Solution!
(4, 7, 7, 10): No Solution!
(4, 7, 7, 11): 4*7+7-11 = 24
(4, 7, 7, 12): No Solution!
(4, 7, 7, 13): No Solution!
(4, 7, 8, 8): 4*(7-8/8) = 24
(4, 7, 8, 9): 8*9/(7-4) = 24
(4, 7, 8, 10): 8/(4/7)+10 = 24
(4, 7, 8, 11): 8-4*(7-11) = 24
(4, 7, 8, 12): 4*7+8-12 = 24
(4, 7, 8, 13): 8+13-(4-7) = 24
(4, 7, 9, 9): 4*(7-9/9) = 24
(4, 7, 9, 10): 4*10-(7+9) = 24
(4, 7, 9, 11): (7-4)*11-9 = 24
(4, 7, 9, 12): 4*12/(9-7) = 24
(4, 7, 9, 13): 4*7+9-13 = 24
(4, 7, 10, 10): 4*(7-10/10) = 24
(4, 7, 10, 11): 10+11-(4-7) = 24
(4, 7, 10, 12): (4+10)/(7/12) = 24
(4, 7, 10, 13): No Solution!
(4, 7, 11, 11): 4*(7-11/11) = 24
(4, 7, 11, 12): 4*(7-12+11) = 24
(4, 7, 11, 13): 4*11-(7+13) = 24
(4, 7, 12, 12): 4*(7-12/12) = 24
(4, 7, 12, 13): 4*(7-13+12) = 24
(4, 7, 13, 13): 4*(7-13/13) = 24
(4, 8, 8, 8): 8+8/(4/8) = 24
(4, 8, 8, 9): (4-9+8)*8 = 24
(4, 8, 8, 10): 4*10-(8+8) = 24
(4, 8, 8, 11): (8*11+8)/4 = 24
(4, 8, 8, 12): 8*12/(8-4) = 24
(4, 8, 8, 13): (8*13-8)/4 = 24
(4, 8, 9, 9): (4-9/9)*8 = 24
(4, 8, 9, 10): (4-10+9)*8 = 24
(4, 8, 9, 11): 9+11-(4-8) = 24
(4, 8, 9, 12): 4/12*(8*9) = 24
(4, 8, 9, 13): 8/4+(9+13) = 24
(4, 8, 10, 10): (4-10/10)*8 = 24
(4, 8, 10, 11): (4-11+10)*8 = 24
(4, 8, 10, 12): 8/4+(10+12) = 24
(4, 8, 10, 13): No Solution!
(4, 8, 11, 11): 8/4+(11+11) = 24
(4, 8, 11, 12): 4*11-(8+12) = 24
(4, 8, 11, 13): 4*(8-13+11) = 24
(4, 8, 12, 12): (4+12)/(8/12) = 24
(4, 8, 12, 13): 8+(12/4+13) = 24
(4, 8, 13, 13): 13+13-8/4 = 24
(4, 9, 9, 9): No Solution!
(4, 9, 9, 10): 9+10-(4-9) = 24
(4, 9, 9, 11): No Solution!
(4, 9, 9, 12): (4-12/9)*9 = 24
(4, 9, 9, 13): No Solution!
(4, 9, 10, 10): No Solution!
(4, 9, 10, 11): 4-(9-11)*10 = 24
(4, 9, 10, 12): 10*12/(9-4) = 24
(4, 9, 10, 13): (4-10)*(9-13) = 24
(4, 9, 11, 11): 4*11-(9+11) = 24
(4, 9, 11, 12): 12/(4/11)-9 = 24
(4, 9, 11, 13): No Solution!
(4, 9, 12, 12): 9+(12/4+12) = 24
(4, 9, 12, 13): No Solution!
(4, 9, 13, 13): No Solution!
(4, 10, 10, 10): No Solution!
(4, 10, 10, 11): 4*11-(10+10) = 24
(4, 10, 10, 12): 4-(10-12)*10 = 24
(4, 10, 10, 13): No Solution!
(4, 10, 11, 11): No Solution!
(4, 10, 11, 12): 10+(11+12/4) = 24
(4, 10, 11, 13): 4-10*(11-13) = 24
(4, 10, 12, 12): 4*12/(12-10) = 24
(4, 10, 12, 13): (4-12)*(10-13) = 24
(4, 10, 13, 13): No Solution!
(4, 11, 11, 11): No Solution!
(4, 11, 11, 12): No Solution!
(4, 11, 11, 13): No Solution!
(4, 11, 12, 12): No Solution!
(4, 11, 12, 13): 4*12-(11+13) = 24
(4, 11, 13, 13): No Solution!
(4, 12, 12, 12): 12/(4/12)-12 = 24
(4, 12, 12, 13): No Solution!
(4, 12, 13, 13): No Solution!
(4, 13, 13, 13): No Solution!
(5, 5, 5, 5): 5*5-5/5 = 24
(5, 5, 5, 6): (5-5/5)*6 = 24
(5, 5, 5, 7): No Solution!
(5, 5, 5, 8): No Solution!
(5, 5, 5, 9): 5+5+(5+9) = 24
(5, 5, 5, 10): No Solution!
(5, 5, 5, 11): No Solution!
(5, 5, 5, 12): (5+5)/(5/12) = 24
(5, 5, 5, 13): No Solution!
(5, 5, 6, 6): 5*(6-6/5) = 24
(5, 5, 6, 7): 5*5+6-7 = 24
(5, 5, 6, 8): 5+5+(6+8) = 24
(5, 5, 6, 9): No Solution!
(5, 5, 6, 10): No Solution!
(5, 5, 6, 11): 5*6+5-11 = 24
(5, 5, 6, 12): No Solution!
(5, 5, 6, 13): No Solution!
(5, 5, 7, 7): 5*5-7/7 = 24
(5, 5, 7, 8): 5*5+7-8 = 24
(5, 5, 7, 9): No Solution!
(5, 5, 7, 10): (5+7)/(5/10) = 24
(5, 5, 7, 11): 5*(7-11/5) = 24
(5, 5, 7, 12): No Solution!
(5, 5, 7, 13): No Solution!
(5, 5, 8, 8): 5*5-8/8 = 24
(5, 5, 8, 9): 5*5+8-9 = 24
(5, 5, 8, 10): (5+10)/(5/8) = 24
(5, 5, 8, 11): 5*8-(5+11) = 24
(5, 5, 8, 12): (5-8+5)*12 = 24
(5, 5, 8, 13): (5-8)*(5-13) = 24
(5, 5, 9, 9): 5*5-9/9 = 24
(5, 5, 9, 10): 5*5+9-10 = 24
(5, 5, 9, 11): (5-9)*(5-11) = 24
(5, 5, 9, 12): No Solution!
(5, 5, 9, 13): No Solution!
(5, 5, 10, 10): 5*5-10/10 = 24
(5, 5, 10, 11): 5*5+10-11 = 24
(5, 5, 10, 12): No Solution!
(5, 5, 10, 13): 5/5+(10+13) = 24
(5, 5, 11, 11): 5*5-11/11 = 24
(5, 5, 11, 12): 5/5+(11+12) = 24
(5, 5, 11, 13): 5/5*(11+13) = 24
(5, 5, 12, 12): 5/5*(12+12) = 24
(5, 5, 12, 13): 12+13-5/5 = 24
(5, 5, 13, 13): 5*5-13/13 = 24
(5, 6, 6, 6): (5-6/6)*6 = 24
(5, 6, 6, 7): 6*6-(5+7) = 24
(5, 6, 6, 8): 6-(5-8)*6 = 24
(5, 6, 6, 9): 6*9-5*6 = 24
(5, 6, 6, 10): (6+6)/(5/10) = 24
(5, 6, 6, 11): No Solution!
(5, 6, 6, 12): 5*6+6-12 = 24
(5, 6, 6, 13): No Solution!
(5, 6, 7, 7): (5-7/7)*6 = 24
(5, 6, 7, 8): 6*8/(7-5) = 24
(5, 6, 7, 9): 6-(5-7)*9 = 24
(5, 6, 7, 10): No Solution!
(5, 6, 7, 11): No Solution!
(5, 6, 7, 12): (5+7)/(6/12) = 24
(5, 6, 7, 13): (7+13)/(5/6) = 24
(5, 6, 8, 8): (5-8/8)*6 = 24
(5, 6, 8, 9): (6+9)/(5/8) = 24
(5, 6, 8, 10): 5/10*(6*8) = 24
(5, 6, 8, 11): No Solution!
(5, 6, 8, 12): (8+12)/(5/6) = 24
(5, 6, 8, 13): (5+13)/(6/8) = 24
(5, 6, 9, 9): (5-9/9)*6 = 24
(5, 6, 9, 10): 6+10/(5/9) = 24
(5, 6, 9, 11): (9+11)/(5/6) = 24
(5, 6, 9, 12): (5-9+6)*12 = 24
(5, 6, 9, 13): (5-13)*(6-9) = 24
(5, 6, 10, 10): (10+10)/(5/6) = 24
(5, 6, 10, 11): (5-11+10)*6 = 24
(5, 6, 10, 12): 10/(5/6)+12 = 24
(5, 6, 10, 13): 10+13-(5-6) = 24
(5, 6, 11, 11): (5-11/11)*6 = 24
(5, 6, 11, 12): 11+12-(5-6) = 24
(5, 6, 11, 13): 11-(5-6)*13 = 24
(5, 6, 12, 12): (5-12/12)*6 = 24
(5, 6, 12, 13): 5-6+(12+13) = 24
(5, 6, 13, 13): (5-13/13)*6 = 24
(5, 7, 7, 7): No Solution!
(5, 7, 7, 8): No Solution!
(5, 7, 7, 9): (5+7)*(9-7) = 24
(5, 7, 7, 10): 10-(5-7)*7 = 24
(5, 7, 7, 11): (5-11/7)*7 = 24
(5, 7, 7, 12): No Solution!
(5, 7, 7, 13): No Solution!
(5, 7, 8, 8): (7+8)/(5/8) = 24
(5, 7, 8, 9): 5*8-(7+9) = 24
(5, 7, 8, 10): (5+7)*(10-8) = 24
(5, 7, 8, 11): No Solution!
(5, 7, 8, 12): No Solution!
(5, 7, 8, 13): No Solution!
(5, 7, 9, 9): No Solution!
(5, 7, 9, 10): 9-5*(7-10) = 24
(5, 7, 9, 11): (5+7)*(11-9) = 24
(5, 7, 9, 12): (5+9)/(7/12) = 24
(5, 7, 9, 13): 9+13-(5-7) = 24
(5, 7, 10, 10): 10+10/(5/7) = 24
(5, 7, 10, 11): 7*(10-5)-11 = 24
(5, 7, 10, 12): 10+12-(5-7) = 24
(5, 7, 10, 13): (5-13)*(7-10) = 24
(5, 7, 11, 11): 11+11-(5-7) = 24
(5, 7, 11, 12): No Solution!
(5, 7, 11, 13): (5+7)*(13-11) = 24
(5, 7, 12, 12): 7*12-5*12 = 24
(5, 7, 12, 13): No Solution!
(5, 7, 13, 13): 5-7+(13+13) = 24
(5, 8, 8, 8): 5*8-(8+8) = 24
(5, 8, 8, 9): 8*9/(8-5) = 24
(5, 8, 8, 10): 8+10/(5/8) = 24
(5, 8, 8, 11): No Solution!
(5, 8, 8, 12): No Solution!
(5, 8, 8, 13): 8+13-(5-8) = 24
(5, 8, 9, 9): No Solution!
(5, 8, 9, 10): No Solution!
(5, 8, 9, 11): (5-11+9)*8 = 24
(5, 8, 9, 12): 8*12/(9-5) = 24
(5, 8, 9, 13): 5*9-(8+13) = 24
(5, 8, 10, 10): No Solution!
(5, 8, 10, 11): 10+11-(5-8) = 24
(5, 8, 10, 12): (5-12+10)*8 = 24
(5, 8, 10, 13): No Solution!
(5, 8, 11, 11): No Solution!
(5, 8, 11, 12): (5+11)/(8/12) = 24
(5, 8, 11, 13): (5-13+11)*8 = 24
(5, 8, 12, 12): (8-5)*12-12 = 24
(5, 8, 12, 13): No Solution!
(5, 8, 13, 13): No Solution!
(5, 9, 9, 9): No Solution!
(5, 9, 9, 10): No Solution!
(5, 9, 9, 11): 9+11-(5-9) = 24
(5, 9, 9, 12): 5*9-(9+12) = 24
(5, 9, 9, 13): No Solution!
(5, 9, 10, 10): 10+10-(5-9) = 24
(5, 9, 10, 11): 5*9-(10+11) = 24
(5, 9, 10, 12): No Solution!
(5, 9, 10, 13): 9+(10/5+13) = 24
(5, 9, 11, 11): No Solution!
(5, 9, 11, 12): No Solution!
(5, 9, 11, 13): (5-11)*(9-13) = 24
(5, 9, 12, 12): (9*12+12)/5 = 24
(5, 9, 12, 13): (5+13)/(9/12) = 24
(5, 9, 13, 13): No Solution!
(5, 10, 10, 10): No Solution!
(5, 10, 10, 11): (10*11+10)/5 = 24
(5, 10, 10, 12): 10/5+(10+12) = 24
(5, 10, 10, 13): (10*13-10)/5 = 24
(5, 10, 11, 11): 10/5+(11+11) = 24
(5, 10, 11, 12): No Solution!
(5, 10, 11, 13): No Solution!
(5, 10, 12, 12): No Solution!
(5, 10, 12, 13): (5-13+10)*12 = 24
(5, 10, 13, 13): 13+13-10/5 = 24
(5, 11, 11, 11): No Solution!
(5, 11, 11, 12): No Solution!
(5, 11, 11, 13): No Solution!
(5, 11, 12, 12): (11*12-12)/5 = 24
(5, 11, 12, 13): No Solution!
(5, 11, 13, 13): No Solution!
(5, 12, 12, 12): No Solution!
(5, 12, 12, 13): No Solution!
(5, 12, 13, 13): No Solution!
(5, 13, 13, 13): No Solution!
(6, 6, 6, 6): 6*6-(6+6) = 24
(6, 6, 6, 7): No Solution!
(6, 6, 6, 8): (6-8+6)*6 = 24
(6, 6, 6, 9): 6/9*(6*6) = 24
(6, 6, 6, 10): 6*10-6*6 = 24
(6, 6, 6, 11): 6*(11-6)-6 = 24
(6, 6, 6, 12): (6+6)/(6/12) = 24
(6, 6, 6, 13): No Solution!
(6, 6, 7, 7): No Solution!
(6, 6, 7, 8): No Solution!
(6, 6, 7, 9): (6-9+7)*6 = 24
(6, 6, 7, 10): 6-6*(7-10) = 24
(6, 6, 7, 11): 6*11-6*7 = 24
(6, 6, 7, 12): 6*7-(6+12) = 24
(6, 6, 7, 13): No Solution!
(6, 6, 8, 8): 6*8/(8-6) = 24
(6, 6, 8, 9): 6-(6-8)*9 = 24
(6, 6, 8, 10): (6-10+8)*6 = 24
(6, 6, 8, 11): 6-6*(8-11) = 24
(6, 6, 8, 12): (6+12)/(6/8) = 24
(6, 6, 8, 13): 6*(13-8)-6 = 24
(6, 6, 9, 9): No Solution!
(6, 6, 9, 10): (6+10)/(6/9) = 24
(6, 6, 9, 11): (6-11+9)*6 = 24
(6, 6, 9, 12): 6+12/(6/9) = 24
(6, 6, 9, 13): 6*13-6*9 = 24
(6, 6, 10, 10): No Solution!
(6, 6, 10, 11): No Solution!
(6, 6, 10, 12): (6-10+6)*12 = 24
(6, 6, 10, 13): 6/6+(10+13) = 24
(6, 6, 11, 11): No Solution!
(6, 6, 11, 12): 6/6+(11+12) = 24
(6, 6, 11, 13): 6/6*(11+13) = 24
(6, 6, 12, 12): 6/6*(12+12) = 24
(6, 6, 12, 13): 12+13-6/6 = 24
(6, 6, 13, 13): No Solution!
(6, 7, 7, 7): No Solution!
(6, 7, 7, 8): No Solution!
(6, 7, 7, 9): No Solution!
(6, 7, 7, 10): 6*(7-10+7) = 24
(6, 7, 7, 11): 6*7-(7+11) = 24
(6, 7, 7, 12): No Solution!
(6, 7, 7, 13): No Solution!
(6, 7, 8, 8): No Solution!
(6, 7, 8, 9): 6*8/(9-7) = 24
(6, 7, 8, 10): 6*7-(8+10) = 24
(6, 7, 8, 11): (7+11)/(6/8) = 24
(6, 7, 8, 12): (6+8)/(7/12) = 24
(6, 7, 8, 13): No Solution!
(6, 7, 9, 9): (7+9)/(6/9) = 24
(6, 7, 9, 10): No Solution!
(6, 7, 9, 11): No Solution!
(6, 7, 9, 12): 12-6*(7-9) = 24
(6, 7, 9, 13): No Solution!
(6, 7, 10, 10): (10-7)*10-6 = 24
(6, 7, 10, 11): No Solution!
(6, 7, 10, 12): 10+12/(6/7) = 24
(6, 7, 10, 13): 10+13-(6-7) = 24
(6, 7, 11, 11): 7*(11-6)-11 = 24
(6, 7, 11, 12): 11+12-(6-7) = 24
(6, 7, 11, 13): 11-(6-7)*13 = 24
(6, 7, 12, 12): 12-(6-7)*12 = 24
(6, 7, 12, 13): 6-7+(12+13) = 24
(6, 7, 13, 13): No Solution!
(6, 8, 8, 8): 8-(6-8)*8 = 24
(6, 8, 8, 9): (8+8)/(6/9) = 24
(6, 8, 8, 10): (8+10)/(6/8) = 24
(6, 8, 8, 11): (6-11+8)*8 = 24
(6, 8, 8, 12): 8+12/(6/8) = 24
(6, 8, 8, 13): No Solution!
(6, 8, 9, 9): (9+9)/(6/8) = 24
(6, 8, 9, 10): 6-(8-10)*9 = 24
(6, 8, 9, 11): 6*8/(11-9) = 24
(6, 8, 9, 12): 9/(6/8)+12 = 24
(6, 8, 9, 13): 9+13-(6-8) = 24
(6, 8, 10, 10): No Solution!
(6, 8, 10, 11): 10*(11-8)-6 = 24
(6, 8, 10, 12): (6+10)/(8/12) = 24
(6, 8, 10, 13): (6-13+10)*8 = 24
(6, 8, 11, 11): 11+11-(6-8) = 24
(6, 8, 11, 12): 6*12/(11-8) = 24
(6, 8, 11, 13): 6*8-(11+13) = 24
(6, 8, 12, 12): 6+12/(8/12) = 24
(6, 8, 12, 13): No Solution!
(6, 8, 13, 13): 6-8+(13+13) = 24
(6, 9, 9, 9): No Solution!
(6, 9, 9, 10): 9+10/(6/9) = 24
(6, 9, 9, 11): (9-6)*11-9 = 24
(6, 9, 9, 12): 9+12-(6-9) = 24
(6, 9, 9, 13): No Solution!
(6, 9, 10, 10): No Solution!
(6, 9, 10, 11): 9*10-6*11 = 24
(6, 9, 10, 12): 9*(10-6)-12 = 24
(6, 9, 10, 13): No Solution!
(6, 9, 11, 11): No Solution!
(6, 9, 11, 12): 12-6*(9-11) = 24
(6, 9, 11, 13): 6-9*(11-13) = 24
(6, 9, 12, 12): (6+12)/(9/12) = 24
(6, 9, 12, 13): 9+(12/6+13) = 24
(6, 9, 13, 13): No Solution!
(6, 10, 10, 10): 10+10-(6-10) = 24
(6, 10, 10, 11): No Solution!
(6, 10, 10, 12): No Solution!
(6, 10, 10, 13): 10*(13-10)-6 = 24
(6, 10, 11, 11): No Solution!
(6, 10, 11, 12): 10*12/(11-6) = 24
(6, 10, 11, 13): No Solution!
(6, 10, 12, 12): 10+(12/6+12) = 24
(6, 10, 12, 13): 6*12/(13-10) = 24
(6, 10, 13, 13): No Solution!
(6, 11, 11, 11): No Solution!
(6, 11, 11, 12): 11+(11+12/6) = 24
(6, 11, 11, 13): No Solution!
(6, 11, 12, 12): (11*12+12)/6 = 24
(6, 11, 12, 13): 12-6*(11-13) = 24
(6, 11, 13, 13): No Solution!
(6, 12, 12, 12): 12*12/(12-6) = 24
(6, 12, 12, 13): (12*13-12)/6 = 24
(6, 12, 13, 13): 13+13-12/6 = 24
(6, 13, 13, 13): No Solution!
(7, 7, 7, 7): No Solution!
(7, 7, 7, 8): No Solution!
(7, 7, 7, 9): No Solution!
(7, 7, 7, 10): No Solution!
(7, 7, 7, 11): No Solution!
(7, 7, 7, 12): (7+7)/(7/12) = 24
(7, 7, 7, 13): No Solution!
(7, 7, 8, 8): No Solution!
(7, 7, 8, 9): No Solution!
(7, 7, 8, 10): No Solution!
(7, 7, 8, 11): (7-11+7)*8 = 24
(7, 7, 8, 12): No Solution!
(7, 7, 8, 13): No Solution!
(7, 7, 9, 9): No Solution!
(7, 7, 9, 10): 10-(7-9)*7 = 24
(7, 7, 9, 11): No Solution!
(7, 7, 9, 12): No Solution!
(7, 7, 9, 13): No Solution!
(7, 7, 10, 10): No Solution!
(7, 7, 10, 11): No Solution!
(7, 7, 10, 12): No Solution!
(7, 7, 10, 13): 7/7+(10+13) = 24
(7, 7, 11, 11): No Solution!
(7, 7, 11, 12): 7/7+(11+12) = 24
(7, 7, 11, 13): 7/7*(11+13) = 24
(7, 7, 12, 12): 7/7*(12+12) = 24
(7, 7, 12, 13): 12+13-7/7 = 24
(7, 7, 13, 13): No Solution!
(7, 8, 8, 8): No Solution!
(7, 8, 8, 9): 8-(7-9)*8 = 24
(7, 8, 8, 10): 8*10-7*8 = 24
(7, 8, 8, 11): 8*(11-7)-8 = 24
(7, 8, 8, 12): (7-12+8)*8 = 24
(7, 8, 8, 13): (8+13)/(7/8) = 24
(7, 8, 9, 9): No Solution!
(7, 8, 9, 10): 8*9/(10-7) = 24
(7, 8, 9, 11): No Solution!
(7, 8, 9, 12): (9+12)/(7/8) = 24
(7, 8, 9, 13): (7-13+9)*8 = 24
(7, 8, 10, 10): 10-7*(8-10) = 24
(7, 8, 10, 11): (10+11)/(7/8) = 24
(7, 8, 10, 12): No Solution!
(7, 8, 10, 13): 10+13-(7-8) = 24
(7, 8, 11, 11): No Solution!
(7, 8, 11, 12): 8*12/(11-7) = 24
(7, 8, 11, 13): 11-(7-8)*13 = 24
(7, 8, 12, 12): 12-(7-8)*12 = 24
(7, 8, 12, 13): 7-8+(12+13) = 24
(7, 8, 13, 13): No Solution!
(7, 9, 9, 9): No Solution!
(7, 9, 9, 10): No Solution!
(7, 9, 9, 11): No Solution!
(7, 9, 9, 12): No Solution!
(7, 9, 9, 13): 9+13-(7-9) = 24
(7, 9, 10, 10): No Solution!
(7, 9, 10, 11): 10-7*(9-11) = 24
(7, 9, 10, 12): 10+12-(7-9) = 24
(7, 9, 10, 13): No Solution!
(7, 9, 11, 11): 11+11-(7-9) = 24
(7, 9, 11, 12): (7+11)/(9/12) = 24
(7, 9, 11, 13): No Solution!
(7, 9, 12, 12): 9*12-7*12 = 24
(7, 9, 12, 13): No Solution!
(7, 9, 13, 13): 7-9+(13+13) = 24
(7, 10, 10, 10): No Solution!
(7, 10, 10, 11): 10+11-(7-10) = 24
(7, 10, 10, 12): 10-7*(10-12) = 24
(7, 10, 10, 13): No Solution!
(7, 10, 11, 11): No Solution!
(7, 10, 11, 12): No Solution!
(7, 10, 11, 13): 10-7*(11-13) = 24
(7, 10, 12, 12): 10*12/(12-7) = 24
(7, 10, 12, 13): (7+13)/(10/12) = 24
(7, 10, 13, 13): No Solution!
(7, 11, 11, 11): No Solution!
(7, 11, 11, 12): No Solution!
(7, 11, 11, 13): No Solution!
(7, 11, 12, 12): No Solution!
(7, 11, 12, 13): No Solution!
(7, 11, 13, 13): No Solution!
(7, 12, 12, 12): No Solution!
(7, 12, 12, 13): 12*12/(13-7) = 24
(7, 12, 13, 13): No Solution!
(7, 13, 13, 13): No Solution!
(8, 8, 8, 8): No Solution!
(8, 8, 8, 9): No Solution!
(8, 8, 8, 10): 8-(8-10)*8 = 24
(8, 8, 8, 11): 8*11-8*8 = 24
(8, 8, 8, 12): (8+8)/(8/12) = 24
(8, 8, 8, 13): (8-13+8)*8 = 24
(8, 8, 9, 9): No Solution!
(8, 8, 9, 10): No Solution!
(8, 8, 9, 11): 8*9/(11-8) = 24
(8, 8, 9, 12): 8*12-8*9 = 24
(8, 8, 9, 13): 8*(13-9)-8 = 24
(8, 8, 10, 10): No Solution!
(8, 8, 10, 11): No Solution!
(8, 8, 10, 12): 8-8*(10-12) = 24
(8, 8, 10, 13): 8/8+(10+13) = 24
(8, 8, 11, 11): No Solution!
(8, 8, 11, 12): 8/8+(11+12) = 24
(8, 8, 11, 13): 8/8*(11+13) = 24
(8, 8, 12, 12): 8/8*(12+12) = 24
(8, 8, 12, 13): 12+13-8/8 = 24
(8, 8, 13, 13): No Solution!
(8, 9, 9, 9): No Solution!
(8, 9, 9, 10): No Solution!
(8, 9, 9, 11): No Solution!
(8, 9, 9, 12): 8*9/(12-9) = 24
(8, 9, 9, 13): No Solution!
(8, 9, 10, 10): No Solution!
(8, 9, 10, 11): No Solution!
(8, 9, 10, 12): 9+12/(8/10) = 24
(8, 9, 10, 13): 8*9/(13-10) = 24
(8, 9, 11, 11): (11-8)*11-9 = 24
(8, 9, 11, 12): 11+12-(8-9) = 24
(8, 9, 11, 13): 11-(8-9)*13 = 24
(8, 9, 12, 12): 8+12/(9/12) = 24
(8, 9, 12, 13): 8*12/(13-9) = 24
(8, 9, 13, 13): No Solution!
(8, 10, 10, 10): No Solution!
(8, 10, 10, 11): No Solution!
(8, 10, 10, 12): 10+12-(8-10) = 24
(8, 10, 10, 13): No Solution!
(8, 10, 11, 11): 11+11-(8-10) = 24
(8, 10, 11, 12): No Solution!
(8, 10, 11, 13): No Solution!
(8, 10, 12, 12): (8+12)/(10/12) = 24
(8, 10, 12, 13): 10*12/(13-8) = 24
(8, 10, 13, 13): 8-10+(13+13) = 24
(8, 11, 11, 11): No Solution!
(8, 11, 11, 12): No Solution!
(8, 11, 11, 13): No Solution!
(8, 11, 12, 12): (11-8)*12-12 = 24
(8, 11, 12, 13): No Solution!
(8, 11, 13, 13): No Solution!
(8, 12, 12, 12): No Solution!
(8, 12, 12, 13): No Solution!
(8, 12, 13, 13): No Solution!
(8, 13, 13, 13): No Solution!
(9, 9, 9, 9): No Solution!
(9, 9, 9, 10): No Solution!
(9, 9, 9, 11): No Solution!
(9, 9, 9, 12): (9+9)/(9/12) = 24
(9, 9, 9, 13): No Solution!
(9, 9, 10, 10): No Solution!
(9, 9, 10, 11): No Solution!
(9, 9, 10, 12): No Solution!
(9, 9, 10, 13): 9/9+(10+13) = 24
(9, 9, 11, 11): No Solution!
(9, 9, 11, 12): 9/9+(11+12) = 24
(9, 9, 11, 13): 9/9*(11+13) = 24
(9, 9, 12, 12): 9/9*(12+12) = 24
(9, 9, 12, 13): 12+13-9/9 = 24
(9, 9, 13, 13): No Solution!
(9, 10, 10, 10): No Solution!
(9, 10, 10, 11): No Solution!
(9, 10, 10, 12): No Solution!
(9, 10, 10, 13): 10+13-(9-10) = 24
(9, 10, 11, 11): No Solution!
(9, 10, 11, 12): (9+11)/(10/12) = 24
(9, 10, 11, 13): 11-(9-10)*13 = 24
(9, 10, 12, 12): 12-(9-10)*12 = 24
(9, 10, 12, 13): 9-10+(12+13) = 24
(9, 10, 13, 13): No Solution!
(9, 11, 11, 11): 11+11-(9-11) = 24
(9, 11, 11, 12): No Solution!
(9, 11, 11, 13): No Solution!
(9, 11, 12, 12): 11*12-9*12 = 24
(9, 11, 12, 13): (9+13)/(11/12) = 24
(9, 11, 13, 13): 9-11+(13+13) = 24
(9, 12, 12, 12): (12-9)*12-12 = 24
(9, 12, 12, 13): No Solution!
(9, 12, 13, 13): No Solution!
(9, 13, 13, 13): No Solution!
(10, 10, 10, 10): No Solution!
(10, 10, 10, 11): No Solution!
(10, 10, 10, 12): (10+10)/(10/12) = 24
(10, 10, 10, 13): 10/10+(10+13) = 24
(10, 10, 11, 11): No Solution!
(10, 10, 11, 12): 10/10+(11+12) = 24
(10, 10, 11, 13): 10/10*(11+13) = 24
(10, 10, 12, 12): 10/10*(12+12) = 24
(10, 10, 12, 13): 12+13-10/10 = 24
(10, 10, 13, 13): No Solution!
(10, 11, 11, 11): No Solution!
(10, 11, 11, 12): 11+12-(10-11) = 24
(10, 11, 11, 13): 10+(11/11+13) = 24
(10, 11, 12, 12): (10+12)/(11/12) = 24
(10, 11, 12, 13): 10-11+(12+13) = 24
(10, 11, 13, 13): No Solution!
(10, 12, 12, 12): 12*12-10*12 = 24
(10, 12, 12, 13): 10+(12/12+13) = 24
(10, 12, 13, 13): 10-12+(13+13) = 24
(10, 13, 13, 13): 10+(13/13+13) = 24
(11, 11, 11, 11): No Solution!
(11, 11, 11, 12): 11/11+(11+12) = 24
(11, 11, 11, 13): 11/11*(11+13) = 24
(11, 11, 12, 12): 11/11*(12+12) = 24
(11, 11, 12, 13): 12+13-11/11 = 24
(11, 11, 13, 13): No Solution!
(11, 12, 12, 12): 11+(12/12+12) = 24
(11, 12, 12, 13): 11/12*12+13 = 24
(11, 12, 13, 13): 11+(12+13/13) = 24
(11, 13, 13, 13): 11/13*13+13 = 24
(12, 12, 12, 12): 12/12*(12+12) = 24
(12, 12, 12, 13): 12+13-12/12 = 24
(12, 12, 13, 13): 12/13*13+12 = 24
(12, 13, 13, 13): 12/13*(13+13) = 24
(13, 13, 13, 13): No Solution!