Problem: Dolphin is planning to generate a small amount of a certain chemical substance C.   In order to generate the substance C, he must prepare a solution which is a mixture of two substances A and B in the ratio of M_a:M_b.   He does not have any stock of chemicals, however, so he will purchase some chemicals at a local pharmacy.   The pharmacy sells N kinds of chemicals. For each kind of chemical, there is exactly one package of that chemical in stock.   The package of chemical i contains a_i grams of the substance A and b_i grams of the substance B, and is sold for c_i yen (the currency of Japan).   Dolphin will purchase some of these packages. For some reason, he must use all contents of the purchased packages to generate the substance C.   Find the minimum amount of money required to generate the substance C.   If it is not possible to generate the substance C by purchasing any combination of packages at the pharmacy, report that fact.

Submission attempts (in order):
import numpy as np

if __name__=="__main__":
    inputs_number  = lambda : [int(x) for x in input().split()]
    N, Ma, Mb = inputs_number()
    drugs = np.array([inputs_number() for i in range(N)])

    inf = 100*N + 1
    dp = np.ones((N,N*10,N*10)) * inf
    dp[0,0,0] = 0
    for i in range(0, N-1):
	for ca in range(N*10):
            for cb in range(N*10):
		if(dp[i,ca,cb]==inf):
                    continue
		dp[i+1,ca,cb]=np.min([dp[i+1,ca,cb],dp[i,ca,cb]]);
		dp[i+1,ca+drugs[i,0],cb+drugs[i,1]]=np.min([dp[i+1,ca+drugs[i,0],cb+drugs[i,1]],dp[i,ca,cb]+drugs[i,2]]);

    ans = inf
    for i in range(1, N):
	for ca in range(1, N*10):
            for cb in range(1, N*10):
		if(Ma*cb == Mb*ca and dp[i,ca,cb] < ans):
                    ans = dp[i,ca,cb]
    if(ans==inf):
	ans = -1
    print(int(ans))

import numpy as np

if __name__=="__main__":
    inputs_number  = lambda : [int(x) for x in input().split()]
    N, Ma, Mb = inputs_number()
    drugs = np.array([inputs_number() for i in range(N)]).astype(np.int16)

    inf = 100*N + 1
    dp = np.ones((N+1,N*10+1,N*10+1)) * inf
    dp[0,0,0] = 0
    for i in range(N):
	for ca in range(N*10+1):
            for cb in range(N*10+1):
		if(dp[i,ca,cb]==inf):
                    continue
		dp[i+1,ca,cb]=np.min([dp[i+1,ca,cb],dp[i,ca,cb]]);
		dp[i+1,ca+drugs[i,0],cb+drugs[i,1]]=np.min([dp[i+1,ca+drugs[i,0],cb+drugs[i,1]],dp[i,ca,cb]+drugs[i,2]]);

    ans = inf
    for ca in range(1, N*10+1):
        for cb in range(1, N*10+1):
	    if(Ma*cb == Mb*ca and dp[N,ca,cb] < ans):
            	ans = dp[N,ca,cb]
    if(ans==inf):
	ans = -1
    print(int(ans))

import numpy as np

if __name__=="__main__":
    inputs_number  = lambda : [int(x) for x in input().split()]
    N, Ma, Mb = inputs_number()
    drugs = [inputs_number() for i in range(N)]
    inf = 100*N + 1
    dp = np.ones((N+1,N*10+1,N*10+1)).astype(np.int32) * inf
    dp = dp.tolist()
    dp[0][0][0] = 0.0

    for i in range(N):
	for ca in range(N*i+1):
            for cb in range(N*i+1):
                if(dp[i][ca][cb]==inf):
                    continue
                dp[i+1][ca][cb]=min([dp[i+1][ca][cb], dp[i][ca][cb]])
                dp[i+1][ca+drugs[i][0]][cb+drugs[i][1]]=min([dp[i+1][ca+drugs[i][0]][cb+drugs[i][1]], dp[i][ca][cb]+drugs[i][2]])
    ans = inf
    for ca in range(1, N*10+1):
        for cb in range(1, N*10+1):
            if(Ma*cb==Mb*ca and dp[N][ca][cb]<ans):
                ans = dp[N][ca][cb]
    if(ans==inf):
        ans = -1
    print(int(ans))

import numpy as np

if __name__=="__main__":
    inputs_number  = lambda : [int(x) for x in input().split()]
    N, Ma, Mb = inputs_number()
    drugs = np.array([inputs_number() for i in range(N)])

    inf = 100*N + 1
    dp = np.ones((N+1,N*10+1,N*10+1)) * inf
    dp[0,0,0] = 0
    for i in range(0, N):
	for ca in range(N*10+1):
            for cb in range(N*10+1):
		if(dp[i,ca,cb]==inf):
                    continue
		dp[i+1,ca,cb]=np.min([dp[i+1,ca,cb],dp[i,ca,cb]]);
		dp[i+1,ca+drugs[i,0],cb+drugs[i,1]]=np.min([dp[i+1,ca+drugs[i,0],cb+drugs[i,1]],dp[i,ca,cb]+drugs[i,2]]);

    ans = inf
    for ca in range(1, N*10+1):
        for cb in range(1, N*10+1):
	    if(Ma*cb == Mb*ca and dp[i,ca,cb] < ans):
            	ans = dp[i,ca,cb]
    if(ans==inf):
	ans = -1
    print(int(ans))

import numpy as np

if __name__=="__main__":
    inputs_number  = lambda : [int(x) for x in input().split()]
    N, Ma, Mb = inputs_number()
    drugs = [inputs_number() for i in range(N)]

    inf = 100*N + 1
    dp = np.ones((N+1,N*10+1,N*10+1)) * inf
    dp[0,0,0] = 0
    for i in range(N):
	for ca in range(N*10+1):
            for cb in range(N*10+1):
		if(dp[i,ca,cb]==inf):
                    continue
                dp[i+1,ca,cb]=np.min([dp[i+1,ca,cb],dp[i,ca,cb]])
                dp[i+1,ca+drugs[i][0],cb+drugs[i][1]]=np.min([dp[i+1,ca+drugs[i][0],cb+drugs[i][1]],dp[i,ca,cb]+drugs[i][2]])

    ans = inf
    for ca in range(1, N*10+1):
        for cb in range(1, N*10+1):
	    if(Ma*cb==Mb*ca and dp[N,ca,cb]<ans):
            	ans = dp[N,ca,cb]
    if(ans==inf):
	ans = -1
    print(int(ans))

import numpy as np

if __name__=="__main__":
    inputs_number  = lambda : [int(x) for x in input().split(" ")]
    N, Ma, Mb = inputs_number()
    drugs = np.array([inputs_number() for i in range(N)])

    inf = 100*N + 1
    dp = np.ones((N,N*10,N*10)) * inf
    dp[0,0,0] = 0
    for i in range(0, N-1):
	for ca in range(N*10):
            for cb in range(N*10):
		if(dp[i,ca,cb]==inf):
                    continue
		dp[i+1,ca,cb]=np.min([dp[i+1,ca,cb],dp[i,ca,cb]]);
		dp[i+1,ca+drugs[i,0],cb+drugs[i,1]]=np.min([dp[i+1,ca+drugs[i,0],cb+drugs[i,1]],dp[i,ca,cb]+drugs[i,2]]);

    ans = inf
    for i in range(1, N):
	for ca in range(1, N*10):
            for cb in range(1, N*10):
		if(Ma*cb == Mb*ca and dp[i,ca,cb] < ans):
                    ans = dp[i,ca,cb]
    if(ans==inf):
	ans = -1
    print(int(ans))

import numpy as np

if __name__=="__main__":
    inputs_number  = lambda : [int(x) for x in input().split()]
    N, Ma, Mb = inputs_number()
    drugs = [inputs_number() for i in range(N)]
    inf = 100*N + 1
    dp = np.ones((N+1,N*10+1,N*10+1)).astype(np.int32) * inf
    dp = dp.tolist()
    dp[0][0][0] = 0.0

    for i in range(N):
        for ca in range(N*(i+1)+1):
            for cb in range(N*(i+1)+1):
                if(dp[i][ca][cb]==inf):
                    continue
                dp[i+1][ca][cb]=min([dp[i+1][ca][cb], dp[i][ca][cb]])
                dp[i+1][ca+drugs[i][0]][cb+drugs[i][1]]=min([dp[i+1][ca+drugs[i][0]][c\
b+drugs[i][1]], dp[i][ca][cb]+drugs[i][2]])
    ans = inf
    for ca in range(1, N*10+1):
        for cb in range(1, N*10+1):
            if(Ma*cb==Mb*ca and dp[N][ca][cb]<ans):
                ans = dp[N][ca][cb]
    if(ans==inf):
        ans = -1
    print(int(ans))

import numpy as np
import copy

if __name__=="__main__":
    inputs_number  = lambda : [int(x) for x in input().split()]
    N, Ma, Mb = inputs_number()
    drugs = [inputs_number() for i in range(N)]
    inf = 100*N + 1
    dp = np.ones((2,N*10+1,N*10+1)).astype(np.int32) * inf
    dp = dp.tolist()
    dp[0][0][0] = 0.0

    for i in range(N):
        for ca in range(10*i+1):
            for cb in range(10*i+1):
                if(dp[0][ca][cb]==inf):
                    continue
                dp[1][ca][cb]=min([dp[1][ca][cb], dp[0][ca][cb]])
                dp[1][ca+drugs[i][0]][cb+drugs[i][1]]=min([dp[1][ca+drugs[i][0]][cb+drugs[i][1]], dp[0][ca][cb]+drugs[i][2]])
        dp[0] = copy.copy(dp[1])
        dp[1] = (np.ones((N*10+1,N*10+1)).astype(np.int32) * inf).tolist()
    print(np.array(dp).shape)
    ans = inf
    for ca in range(1, N*10+1):
        for cb in range(1, N*10+1):
            if(Ma*cb==Mb*ca and dp[0][ca][cb]<ans):
                ans = dp[0][ca][cb]
    if(ans==inf):
        ans = -1
    print(int(ans))

import numpy as np

if __name__=="__main__":
    inputs_number  = lambda : [int(x) for x in input().replace("\n", "").split(" ")]
    N, Ma, Mb = inputs_number()
    drugs = np.array([inputs_number() for i in range(N)])

    inf = 100*N + 1
    dp = np.ones((N,N*10,N*10)) * inf
    dp[0,0,0] = 0
    for i in range(0, N-1):
        for ca in range(N*10):
            for cb in range(N*10):
                if(dp[i,ca,cb]==inf):
                    continue
                dp[i+1,ca,cb]=np.min([dp[i+1,ca,cb],dp[i,ca,cb]]);
                dp[i+1,ca+drugs[i,0],cb+drugs[i,1]]=np.min([dp[i+1,ca+drugs[i,0],cb+drugs[i,1]],dp[i,ca,cb]+drugs[i,2]]);

    ans = inf
    for i in range(1, N):
        for ca in range(1, N*10):
            for cb in range(1, N*10):
                if(Ma*cb == Mb*ca and dp[i,ca,cb] < ans):
                    ans = dp[i,ca,cb]
    if(ans == inf):
	ans = -1
    print(int(ans))


import numpy as np

if __name__=="__main__":
    inputs_number  = lambda : [int(x) for x in input().split()]
    N, Ma, Mb = inputs_number()
    drugs = [inputs_number() for i in range(N)]
    inf = 100*N + 1
    dp = np.ones((N+1,N*10+1,N*10+1)).astype(np.int32) * inf
    dp = dp.tolist()
    print(type(dp[0][0][0]))
    dp[0][0][0] = 0.0

    for i in range(N):
        for ca in range(N*10+1):
            for cb in range(N*10+1):
                if(dp[i][ca][cb]==inf):
                    continue
                dp[i+1][ca][cb]=min([dp[i+1][ca][cb], dp[i][ca][cb]])
                dp[i+1][ca+drugs[i][0]][cb+drugs[i][1]]=min([dp[i+1][ca+drugs[i][0]][cb+drugs[i][1]], dp[i][ca][cb]+drugs[i][2]])
    ans = inf
    for ca in range(1, N*10+1):
        for cb in range(1, N*10+1):
            if(Ma*cb==Mb*ca and dp[N][ca][cb]<ans):
                ans = dp[N][ca][cb]
    if(ans==inf):
        ans = -1
    print(int(ans))

import numpy as np

if __name__=="__main__":
    inputs_number  = lambda : [int(x) for x in input().split()]
    N, Ma, Mb = inputs_number()
    drugs = [inputs_number() for i in range(N)]

    inf = 100*N + 1
    dp = np.ones((N+1,N*10+1,N*10+1)) * inf
    dp[0,0,0] = 0
    for i in range(N):
	for ca in range(N*10+1):
            for cb in range(N*10+1):
		if(dp[i,ca,cb]==inf):
                    continue
		dp[i+1,ca,cb]=np.min([dp[i+1,ca,cb],dp[i,ca,cb]]);
		dp[i+1,ca+drugs[i][0],cb+drugs[i][1]]=np.min([dp[i+1,ca+drugs[i][0],cb+drugs[i][1]],dp[i,ca,cb]+drugs[i][2]]);

    ans = inf
    for ca in range(1, N*10+1):
        for cb in range(1, N*10+1):
	    if(Ma*cb == Mb*ca and dp[N,ca,cb] < ans):
            	ans = dp[N,ca,cb]
    if(ans==inf):
	ans = -1
    print(int(ans))


import numpy as np

if __name__=="__main__":
    inputs_number  = lambda : [int(x) for x in input().split()]
    N, Ma, Mb = inputs_number()
    drugs = [inputs_number() for i in range(N)]
    inf = 100*N + 1
    dp = np.ones((N+1,N*10+1,N*10+1)) * inf
    dp[0,0,0] = 0.0
    for i in range(N):
	for ca in range(N*10+1):
            for cb in range(N*10+1):
		if(dp[i,ca,cb]==inf):
                    continue
                dp[i+1,ca,cb]=np.min([dp[i+1,ca,cb],dp[i,ca,cb]])
                dp[i+1,ca+drugs[i][0],cb+drugs[i][1]]=np.min([dp[i+1,ca+drugs[i][0],cb+drugs[i][1]],dp[i,ca,cb]+drugs[i][2]])
    print(-1)
    ans = inf
    for ca in range(1, N*10+1):
        for cb in range(1, N*10+1):
	    if(Ma*cb==Mb*ca and dp[N,ca,cb]<ans):
            	ans = dp[N,ca,cb]
    if(ans==inf):
	ans = -1
    #print(int(ans))


import numpy as np

if __name__=="__main__":
    inputs_number  = lambda : [int(x) for x in input().split()]
    N, Ma, Mb = inputs_number()
    drugs = [inputs_number() for i in range(N)]
    inf = 100*N + 1
    dp = np.ones((N+1,N*10+1,N*10+1)) * inf
    dp[0,0,0] = 0.0

    for i in range(N):
	for ca in range(N*10+1):
            for cb in range(N*10+1):
		if(dp[i,ca,cb]==inf):
                    continue
                dp[i+1,ca,cb]=np.min([dp[i+1,ca,cb],dp[i,ca,cb]])
                dp[i+1,ca+drugs[i][0],cb+drugs[i][1]]=np.min([dp[i+1,ca+drugs[i][0],cb+drugs[i][1]],dp[i,ca,cb]+drugs[i][2]])

import numpy as np

if __name__=="__main__":
    inputs_number  = lambda : [int(x) for x in input().split()]
    N, Ma, Mb = inputs_number()
    drugs = np.array([inputs_number() for i in range(N)])

    inf = 100*N + 1
    dp = np.ones((N+1,N*10+1,N*10+1)) * inf
    dp[0,0,0] = 0
    for i in range(N):
	for ca in range(N*10+1):
            for cb in range(N*10+1):
		if(dp[i,ca,cb]==inf):
                    continue
		dp[i+1,ca,cb]=np.min([dp[i+1,ca,cb],dp[i,ca,cb]]);
		dp[i+1,ca+drugs[i,0],cb+drugs[i,1]]=np.min([dp[i+1,ca+drugs[i,0],cb+drugs[i,1]],dp[i,ca,cb]+drugs[i,2]]);

    ans = inf
    for ca in range(1, N*10+1):
        for cb in range(1, N*10+1):
	    if(Ma*cb == Mb*ca and dp[N,ca,cb] < ans):
            	ans = dp[N,ca,cb]
    if(ans==inf):
	ans = -1
    print(int(ans))

import numpy as np

if __name__=="__main__":
    inputs_number  = lambda : [int(x) for x in input().split()]
    N, Ma, Mb = inputs_number()
    drugs = [inputs_number() for i in range(N)]
    inf = 100*N + 1
    dp = np.ones((N+1,N*10+1,N*10+1)) * inf
    dp[0,0,0] = 0.0

import numpy as np

if __name__=="__main__":
    inputs_number  = lambda : [int(x) for x in input().replace("\n", "").split(" ")]
    N, Ma, Mb = inputs_number()
    drugs = np.array([inputs_number() for i in range(N)])

    inf = 100*N + 1
    dp = np.ones((N,N*10,N*10)) * inf
    dp[0,0,0] = 0
    for i in range(0, N-1):
        for ca in range(N*10):
            for cb in range(N*10):
                if(dp[i,ca,cb]==inf):
                    continue
                dp[i+1,ca,cb]=np.min([dp[i+1,ca,cb],dp[i,ca,cb]]);
                dp[i+1,ca+drugs[i,0],cb+drugs[i,1]]=np.min([dp[i+1,ca+drugs[i,0],cb+drugs[i,1]],dp[i,ca,cb]+drugs[i,2]]);

    ans = inf
    for i in range(1, N):
        for ca in range(1, N*10):
            for cb in range(1, N*10):
                if(Ma*cb == Mb*ca and dp[i,ca,cb] < ans):
                    ans = dp[i,ca,cb]
    if(ans==inf):
	ans = -1
    print(int(ans))

import numpy as np

if __name__=="__main__":
    inputs_number  = lambda : [int(x) for x in input().split()]
    N, Ma, Mb = inputs_number()
    drugs = np.array([inputs_number() for i in range(N)])
    print(-1)


import numpy as np
import copy

if __name__=="__main__":
    inputs_number  = lambda : [int(x) for x in input().split()]
    N, Ma, Mb = inputs_number()
    drugs = [inputs_number() for i in range(N)]
    inf = 100*N + 1
    dp = np.ones((2,N*10+1,N*10+1)).astype(np.int32) * inf
    dp = dp.tolist()
    dp[0][0][0] = 0.0

    for i in range(N):
        for ca in range(10*i+1):
            for cb in range(10*i+1):
                if(dp[0][ca][cb]==inf):
                    continue
                dp[1][ca][cb]=min([dp[1][ca][cb], dp[0][ca][cb]])
                dp[1][ca+drugs[i][0]][cb+drugs[i][1]]=min([dp[1][ca+drugs[i][0]][cb+drugs[i][1]], dp[0][ca][cb]+drugs[i][2]])
        dp[0] = copy.copy(dp[1])
        dp[1] = (np.ones((N*10+1,N*10+1)).astype(np.int32) * inf).tolist()
    ans = inf
    for ca in range(1, N*10+1):
        for cb in range(1, N*10+1):
            if(Ma*cb==Mb*ca and dp[0][ca][cb]<ans):
                ans = dp[0][ca][cb]
    if(ans==inf):
        ans = -1
    print(int(ans))

Verdicts: Runtime Error

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Runtime Error

Runtime Error

Runtime Error

Runtime Error

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Wrong Answer

Runtime Error

Wrong Answer

Runtime Error

Runtime Error

Runtime Error

Runtime Error

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Runtime Error

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Accepted