Problem:


Score : 600 points

Problem Statement

The squirrel Chokudai has N acorns.
One day, he decides to do some trades in multiple precious metal exchanges to make more acorns.

His plan is as follows:

Get out of the nest with N acorns in his hands.

Go to Exchange A and do some trades.

Go to Exchange B and do some trades.

Go to Exchange A and do some trades.

Go back to the nest.

In Exchange X (X = A, B), he can perform the following operations any integer number of times (possibly zero) in any order:

Lose g_{X} acorns and gain 1 gram of gold.

Gain g_{X} acorns and lose 1 gram of gold.

Lose s_{X} acorns and gain 1 gram of silver.

Gain s_{X} acorns and lose 1 gram of silver.

Lose b_{X} acorns and gain 1 gram of bronze.

Gain b_{X} acorns and lose 1 gram of bronze.

Naturally, he cannot perform an operation that would leave him with a negative amount of acorns, gold, silver, or bronze.

What is the maximum number of acorns that he can bring to the nest?
Note that gold, silver, or bronze brought to the nest would be worthless because he is just a squirrel.

Constraints

1 \leq N \leq 5000

1 \leq g_{X} \leq 5000

1 \leq s_{X} \leq 5000

1 \leq b_{X} \leq 5000

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N
g_A s_A b_A
g_B s_B b_B

Output

Print the maximum number of acorns that Chokudai can bring to the nest.

Sample Input 1

23
1 1 1
2 1 1

Sample Output 1

46

He can bring 46 acorns to the nest, as follows:

In Exchange A, trade 23 acorns for 23 grams of gold. {acorns, gold, silver, bronze}={ 0,23,0,0 }

In Exchange B, trade 23 grams of gold for 46 acorns. {acorns, gold, silver, bronze}={ 46,0,0,0 }

In Exchange A, trade nothing. {acorns, gold, silver, bronze}={ 46,0,0,0 }

He cannot have 47 or more acorns, so the answer is 46.



Sample input:
23
1 1 1
2 1 1


Sample output:
46

Submission status: Time Limit Exceeded

Solution code:
N = int(input())
ga, sa, ba = map(int, input().split())
gb, sb, bb = map(int, input().split())
dp = [0 for i in range(N+1)]
for i in range(1, N+1):
    koho = max(i, dp[i-1] + 1)
    if gb > ga:
        if i >=  ga:
            koho = max(koho, dp[i-ga] + gb)
    if sb > sa:
        if i >= sa:
            koho = max(koho, dp[i-sa] + sb)
    if bb > ba:
        if i >= ba:
            koho = max(koho, dp[i-ba] + bb)
    dp[i] = koho
#print(dp)
N = dp[N]
dp = [0 for i in range(N+1)]
for i in range(1, N+1):
    koho = max(i, dp[i-1] + 1)
    if ga > gb:
        if i >=  gb:
            koho = max(koho, dp[i-gb] + ga)
    if sa > sb:
        if i >= sb:
            koho = max(koho, dp[i-sb] + sa)
    if ba > bb:
        if i >= bb:
            koho = max(koho, dp[i-bb] + ba)
    dp[i] = koho
print(dp[N])

Submission status: Time Limit Exceeded

Solution code:
#!usr/bin/env python3
from collections import defaultdict
from collections import deque
from heapq import heappush, heappop
import sys
import math
import bisect
import random
def LI(): return list(map(int, sys.stdin.readline().split()))
def I(): return int(sys.stdin.readline())
def LS():return list(map(list, sys.stdin.readline().split()))
def S(): return list(sys.stdin.readline())[:-1]
def IR(n):
    l = [None for i in range(n)]
    for i in range(n):l[i] = I()
    return l
def LIR(n):
    l = [None for i in range(n)]
    for i in range(n):l[i] = LI()
    return l
def SR(n):
    l = [None for i in range(n)]
    for i in range(n):l[i] = S()
    return l
def LSR(n):
    l = [None for i in range(n)]
    for i in range(n):l[i] = LS()
    return l
sys.setrecursionlimit(1000000)
mod = 1000000007

#A
def A():
    n,k = LI()
    print(n%k)
    return

#B
def B():
    n = I()
    po = LIR(n)
    if n == 1:
        print(1)
        quit()
    ans = float("inf")
    for i in range(n):
        for j in range(n):
            if i == j:continue
            x,y = po[i]
            s,t = po[j]
            p,q = s-x,t-y
            m = n
            for k in range(n):
                for l in range(n):
                    if (po[k][0]-po[l][0],po[k][1]-po[l][1]) == (p,q):m -= 1
            if m < ans:
                ans = m
    print(ans)
    return

#C
def C():
    n = I()
    a = LI()
    a.sort()
    if a[0] >= 0:
        print(sum(a)-2*a[0])
        for i in range(1,n-1):
            print(a[0],a[i])
            a[0] -= a[i]
        print(a[n-1],a[0])
    else:
        if a[-1] < 0:
            print(2*a[-1]-sum(a))
            for i in range(n-1):
                print(a[-1],a[i])
                a[-1] -= a[i]
        else:
            m = bisect.bisect_left(a,0)
            p = n-m
            ans = -sum(a[:m])+sum(a[m:])
            print(ans)
            if p > m:
                l = a[-1]
                a = a[:-1]
                a = a[::-1]
                p -= 1
                p,m = m,p
                k = a[m]-a[m-1]
                print(a[m],a[m-1])
                for i in range(p-1):
                    print(a[m-i-2],k)
                    k = a[m-i-2]-k
                    print(a[m+i+1],k)
                    k = a[m+i+1]-k
                for i in range(m-p):
                    print(k,a[i])
                    k -= a[i]
                print(l,k)
            else:
                k = a[m]-a[m-1]
                print(a[m],a[m-1])
                for i in range(p-1):
                    print(a[m-i-2],k)
                    k = a[m-i-2]-k
                    print(a[m+i+1],k)
                    k = a[m+i+1]-k
                for i in range(m-p):
                    print(k,a[i])
                    k -= a[i]
    return

#D
def D():
    n = I()
    a = LI()
    b = LI()
    dp = [i for i in range(n+1)]
    for i in range(3):
        for w in range(n+1):
            if w-a[i] >= 0:
                if dp[w-a[i]]+b[i] > dp[w]:
                    dp[w] = dp[w-a[i]]+b[i]
    n = dp[-1]
    dp = [i for i in range(n+1)]
    for i in range(3):
        for w in range(n+1):
            if w-b[i] >= 0:
                if dp[w-b[i]]+a[i] > dp[w]:
                    dp[w] = dp[w-b[i]]+a[i]
    print(dp[-1])
    return

#E
def E():
    n = I()

    return

#F
def F():
    n = I()

    return

#G
def G():
    n = I()

    return

#H
def H():
    n = I()

    return

#I
def I_():
    n = I()

    return

#J
def J():
    n = I()

    return

#Solve
if __name__ == "__main__":
    D()

Submission status: Time Limit Exceeded

Solution code:
#!usr/bin/env python3
from collections import defaultdict
from collections import deque
from heapq import heappush, heappop
import sys
import math
import bisect
import random
def LI(): return list(map(int, sys.stdin.readline().split()))
def I(): return int(sys.stdin.readline())
def LS():return list(map(list, sys.stdin.readline().split()))
def S(): return list(sys.stdin.readline())[:-1]
def IR(n):
    l = [None for i in range(n)]
    for i in range(n):l[i] = I()
    return l
def LIR(n):
    l = [None for i in range(n)]
    for i in range(n):l[i] = LI()
    return l
def SR(n):
    l = [None for i in range(n)]
    for i in range(n):l[i] = S()
    return l
def LSR(n):
    l = [None for i in range(n)]
    for i in range(n):l[i] = LS()
    return l
sys.setrecursionlimit(1000000)
mod = 1000000007

#A
def A():
    n,k = LI()
    print(n%k)
    return

#B
def B():
    n = I()
    po = LIR(n)
    if n == 1:
        print(1)
        quit()
    ans = float("inf")
    for i in range(n):
        for j in range(n):
            if i == j:continue
            x,y = po[i]
            s,t = po[j]
            p,q = s-x,t-y
            m = n
            for k in range(n):
                for l in range(n):
                    if (po[k][0]-po[l][0],po[k][1]-po[l][1]) == (p,q):m -= 1
            if m < ans:
                ans = m
    print(ans)
    return

#C
def C():
    n = I()
    a = LI()
    a.sort()
    if a[0] >= 0:
        print(sum(a)-2*a[0])
        for i in range(1,n-1):
            print(a[0],a[i])
            a[0] -= a[i]
        print(a[n-1],a[0])
    else:
        if a[-1] < 0:
            print(2*a[-1]-sum(a))
            for i in range(n-1):
                print(a[-1],a[i])
                a[-1] -= a[i]
        else:
            m = bisect.bisect_left(a,0)
            p = n-m
            ans = -sum(a[:m])+sum(a[m:])
            print(ans)
            if p > m:
                l = a[-1]
                a = a[:-1]
                a = a[::-1]
                p -= 1
                p,m = m,p
                k = a[m]-a[m-1]
                print(a[m],a[m-1])
                for i in range(p-1):
                    print(a[m-i-2],k)
                    k = a[m-i-2]-k
                    print(a[m+i+1],k)
                    k = a[m+i+1]-k
                for i in range(m-p):
                    print(k,a[i])
                    k -= a[i]
                print(l,k)
            else:
                k = a[m]-a[m-1]
                print(a[m],a[m-1])
                for i in range(p-1):
                    print(a[m-i-2],k)
                    k = a[m-i-2]-k
                    print(a[m+i+1],k)
                    k = a[m+i+1]-k
                for i in range(m-p):
                    print(k,a[i])
                    k -= a[i]
    return

#D
def D():
    n = I()
    a = LI()
    b = LI()
    dp = [[i for i in range(n+1)] for j in range(3)]
    for i in range(3):
        for w in range(n+1):
            if w-a[i] >= 0:
                dp[i][w] = max(dp[i-1][w],dp[i][w-a[i]]+b[i])
            else:
                if dp[i-1][w] > dp[i][w]:
                    dp[i][w] = dp[i-1][w]
    n = dp[2][-1]
    dp = [[i for i in range(n+1)] for j in range(3)]
    for i in range(3):
        for w in range(n+1):
            if w-b[i] >= 0:
                dp[i][w] = max(dp[i-1][w],dp[i][w-b[i]]+a[i])
            else:
                if dp[i-1][w] > dp[i][w]:
                    dp[i][w] = dp[i-1][w]
    print(dp[-1][-1])
    return

#E
def E():
    n = I()

    return

#F
def F():
    n = I()

    return

#G
def G():
    n = I()

    return

#H
def H():
    n = I()

    return

#I
def I_():
    n = I()

    return

#J
def J():
    n = I()

    return

#Solve
if __name__ == "__main__":
    D()

Submission status: Time Limit Exceeded

Solution code:
def getlist():
	return list(map(int, input().split()))

N = int(input())
A = getlist()
B = getlist()


L = [0 for i in range(N + 1)]
l1 = []
l2 = []
for i in range(3):
	if B[i] - A[i] > 0:
		l1.append([A[i], B[i]])
	elif B[i] - A[i] < 0:
		l2.append([B[i], A[i]])

c = 0
n = 0
a = len(l1)
for i in range(N + 1):
	for j in range(a):
		x = l1[j][0]
		if i + x <= N:
			if L[i] + l1[j][1] > L[i + x]:
				L[i + x] = L[i] + l1[j][1]
		if L[i] > c:
			c = L[i]
			n = i

N += c - n
c = 0
n = 0
b = len(l2)
L = [0 for i in range(N + 1)]
for i in range(N + 1):
	for j in range(b):
		x = l2[j][0]
		y = L[i]
		if i + x <= N:
			if y + l2[j][1] > L[i + x]:
				L[i + x] = y + l2[j][1]
		if y > c:
			c = y
			n = i

N += c - n
print(N)

Submission status: Time Limit Exceeded

Solution code:
#!usr/bin/env python3
from collections import defaultdict
from collections import deque
from heapq import heappush, heappop
import sys
import math
import bisect
import random
def LI(): return list(map(int, sys.stdin.readline().split()))
def I(): return int(sys.stdin.readline())
def LS():return list(map(list, sys.stdin.readline().split()))
def S(): return list(sys.stdin.readline())[:-1]
def IR(n):
    l = [None for i in range(n)]
    for i in range(n):l[i] = I()
    return l
def LIR(n):
    l = [None for i in range(n)]
    for i in range(n):l[i] = LI()
    return l
def SR(n):
    l = [None for i in range(n)]
    for i in range(n):l[i] = S()
    return l
def LSR(n):
    l = [None for i in range(n)]
    for i in range(n):l[i] = LS()
    return l
sys.setrecursionlimit(1000000)
mod = 1000000007

#A
def A():
    n,k = LI()
    print(n%k)
    return

#B
def B():
    n = I()
    po = LIR(n)
    if n == 1:
        print(1)
        quit()
    ans = float("inf")
    for i in range(n):
        for j in range(n):
            if i == j:continue
            x,y = po[i]
            s,t = po[j]
            p,q = s-x,t-y
            m = n
            for k in range(n):
                for l in range(n):
                    if (po[k][0]-po[l][0],po[k][1]-po[l][1]) == (p,q):m -= 1
            if m < ans:
                ans = m
    print(ans)
    return

#C
def C():
    n = I()
    a = LI()
    a.sort()
    if a[0] >= 0:
        print(sum(a)-2*a[0])
        for i in range(1,n-1):
            print(a[0],a[i])
            a[0] -= a[i]
        print(a[n-1],a[0])
    else:
        if a[-1] < 0:
            print(2*a[-1]-sum(a))
            for i in range(n-1):
                print(a[-1],a[i])
                a[-1] -= a[i]
        else:
            m = bisect.bisect_left(a,0)
            p = n-m
            ans = -sum(a[:m])+sum(a[m:])
            print(ans)
            if p > m:
                l = a[-1]
                a = a[:-1]
                a = a[::-1]
                p -= 1
                p,m = m,p
                k = a[m]-a[m-1]
                print(a[m],a[m-1])
                for i in range(p-1):
                    print(a[m-i-2],k)
                    k = a[m-i-2]-k
                    print(a[m+i+1],k)
                    k = a[m+i+1]-k
                for i in range(m-p):
                    print(k,a[i])
                    k -= a[i]
                print(l,k)
            else:
                k = a[m]-a[m-1]
                print(a[m],a[m-1])
                for i in range(p-1):
                    print(a[m-i-2],k)
                    k = a[m-i-2]-k
                    print(a[m+i+1],k)
                    k = a[m+i+1]-k
                for i in range(m-p):
                    print(k,a[i])
                    k -= a[i]
    return

#D
def D():
    n = I()
    a = LI()
    b = LI()
    dp = [[i for i in range(n+1)] for j in range(3)]
    for i in range(3):
        for w in range(n+1):
            if w-a[i] >= 0:
                dp[i][w] = max(dp[i-1][w],dp[i][w-a[i]]+b[i])
            else:
                dp[i][w] = max(dp[i-1][w],dp[i][w])
    n = dp[2][-1]
    a,b = b,a
    dp = [[i for i in range(n+1)] for j in range(3)]
    for i in range(3):
        for w in range(n+1):
            if w-a[i] >= 0:
                dp[i][w] = max(dp[i-1][w],dp[i][w-a[i]]+b[i])
            else:
                dp[i][w] = max(dp[i-1][w],dp[i][w])
    print(dp[-1][-1])
    return

#E
def E():
    n = I()

    return

#F
def F():
    n = I()

    return

#G
def G():
    n = I()

    return

#H
def H():
    n = I()

    return

#I
def I_():
    n = I()

    return

#J
def J():
    n = I()

    return

#Solve
if __name__ == "__main__":
    D()

Submission status: Time Limit Exceeded

Solution code:
# -*- coding: utf-8 -*-
from itertools import product
from heapq import heappop, heappush
import numpy as np

def solve():
    N = int(input())
    A = list(map(int, input().split()))
    B = list(map(int, input().split()))

    X, Y = [N]+A, [N]+B
    dp = np.zeros((4,N+1), dtype=int)
    dp[0] = np.arange(N+1)
    for i,w in product(range(1,4), range(1,N+1)):
        dp[i][w] = max(dp[i-1][w-X[i]*j]+Y[i]*j for j in range(0,w//X[i]+1) if w>=X[i]*j) if w>=X[i] else dp[i-1][w]
    N = dp[3][N]
    #print(dp)
    X, Y = [N]+B, [N]+A
    dp = np.zeros((4,N+1), dtype=int)
    dp[0] = np.arange(N+1)
    for i,w in product(range(1,4), range(1,N+1)):
        dp[i][w] = max(dp[i-1][w-X[i]*j]+Y[i]*j for j in range(0,w//X[i]+1) if w>=X[i]*j) if w>=X[i] else dp[i-1][w]
    res = dp[3][N]
    #print(dp)
    return res

if __name__ == '__main__':
    print(solve())

Submission status: Time Limit Exceeded

Solution code:
def solve(n, ga, sa, ba, gb, sb, bb):
    gd, sd, bd = gb - ga, sb - sa, bb - ba

    if bd <= 0:
        if sd <= 0:
            if gd <= 0:
                return n
            return n + n // ga * gd
        if gd <= 0:
            return n + n // sa * sd
        return max(n + g * gd + (n - g * ga) // sa * sd for g in range(n // ga + 1))
    if sd <= 0:
        if gd <= 0:
            return n + n // ba * bd
        return max(n + g * gd + (n - g * ga) // ba * bd for g in range(n // ga + 1))
    if gd <= 0:
        return max(n + s * sd + (n - s * sa) // ba * bd for s in range(n // sa + 1))
    (_, ga, gd), (_, sa, sd), (_, ba, bd) = \
        sorted([(gb / ga, -ga, gd), (sb / sa, -sa, sd), (bb / ba, -ba, bd)], reverse=True)
    ga, sa, ba = -ga, -sa, -ba
    return max(n + g * gd + s * sd + (n - g * ga - s * sa) // ba * bd
               for g in range(int(n // ga / 2.75), n // ga + 1)
               for s in range((n - g * ga) // sa + 1))


n = int(input())
ga, sa, ba = list(map(int, input().split()))
gb, sb, bb = list(map(int, input().split()))
n2 = solve(n, ga, sa, ba, gb, sb, bb)
n3 = solve(n2, gb, sb, bb, ga, sa, ba)
print(n3)

Submission status: Time Limit Exceeded

Solution code:
def solve(n, ga, sa, ba, gb, sb, bb):
    gd, sd, bd = gb - ga, sb - sa, bb - ba

    if bd <= 0:
        if sd <= 0:
            if gd <= 0:
                return n
            return n + n // ga * gd
        if gd <= 0:
            return n + n // sa * sd
        return max(n + g * gd + (n - g * ga) // sa * sd for g in range(n // ga + 1))
    if sd <= 0:
        if gd <= 0:
            return n + n // ba * bd
        return max(n + g * gd + (n - g * ga) // ba * bd for g in range(n // ga + 1))
    if gd <= 0:
        return max(n + s * sd + (n - s * sa) // ba * bd for s in range(n // sa + 1))
    (_, ga, gd), (_, sa, sd), (_, ba, bd) = \
        sorted([(gb / ga, -ga, gd), (sb / sa, -sa, sd), (bb / ba, -ba, bd)], reverse=True)
    ga, sa, ba = -ga, -sa, -ba
    return max(n + g * gd + s * sd + (n - g * ga - s * sa) // ba * bd
               for g in range(n // ga // 3, n // ga + 1)
               for s in range((n - g * ga) // sa + 1))


n = int(input())
ga, sa, ba = list(map(int, input().split()))
gb, sb, bb = list(map(int, input().split()))
n2 = solve(n, ga, sa, ba, gb, sb, bb)
n3 = solve(n2, gb, sb, bb, ga, sa, ba)
print(n3)

Submission status: Time Limit Exceeded

Solution code:
def getlist():
	return list(map(int, input().split()))

N = int(input())
A = getlist()
B = getlist()


L = [0 for i in range(N + 10)]
l1 = []
l2 = []
for i in range(3):
	if B[i] - A[i] > 0:
		l1.append([A[i], B[i]])
	elif B[i] - A[i] < 0:
		l2.append([B[i], A[i]])

c = 0
n = 0
for i in range(N + 1):
	for j in range(len(l1)):
		x = l1[j][0]
		if i + x <= N:
			if L[i] + l1[j][1] > L[i + x]:
				L[i + x] = L[i] + l1[j][1]
		if L[i] > c:
			c = L[i]
			n = i

N += c - n
c = 0
n = 0
L = [0 for i in range(N + 10)]
for i in range(N + 1):
	for j in range(len(l2)):
		x = l2[j][0]
		if i + x <= N:
			if L[i] + l2[j][1] > L[i + x]:
				L[i + x] = L[i] + l2[j][1]
		if L[i] > c:
			c = L[i]
			n = i

N += c - n
print(N)

Submission status: Time Limit Exceeded

Solution code:
def solve(n, ga, sa, ba, gb, sb, bb):
    gd, sd, bd = gb - ga, sb - sa, bb - ba

    if bd <= 0:
        if sd <= 0:
            if gd <= 0:
                return n
            return n + n // ga * gd
        if gd <= 0:
            return n + n // sa * sd
        return max(n + g * gd + (n - g * ga) // sa * sd for g in range(n // ga + 1))
    if sd <= 0:
        if gd <= 0:
            return n + n // ba * bd
        return max(n + g * gd + (n - g * ga) // ba * bd for g in range(n // ga + 1))
    if gd <= 0:
        return max(n + s * sd + (n - s * sa) // ba * bd for s in range(n // sa + 1))
    (_, ga, gd), (_, sa, sd), (_, ba, bd) = \
        sorted([(gb / ga, -ga, gd), (sb / sa, -sa, sd), (bb / ba, -ba, bd)], reverse=True)
    ga, sa, ba = -ga, -sa, -ba
    return max(n + g * gd + s * sd + (n - g * ga - s * sa) // ba * bd
               for g in range(n // ga + 1)
               for s in range((n - g * ga) // sa + 1))


n = int(input())
ga, sa, ba = list(map(int, input().split()))
gb, sb, bb = list(map(int, input().split()))
n2 = solve(n, ga, sa, ba, gb, sb, bb)
n3 = solve(n2, gb, sb, bb, ga, sa, ba)
print(n3)

Submission status: Time Limit Exceeded

Solution code:
def li():
    return list(map(int, input().split()))


if __name__ == "__main__":
    n = int(input())
    [ga, sa, ba] = li()
    [gb, sb, bb] = li()

    # A->Bでのトレード成果
    # ga, sa, baの中で最大効率を探して、割り切れる範囲で先に進めてしまう
    # gaが最大効率なら(n//ga - 1)*gaまではgを買ったことにすればいい
    # r_g = gb / ga
    # r_s = sb / sa
    # r_b = bb / ba
    # if (n // ga - 5000) > 0 and r_g >= 1 and r_g >= r_s and r_g >= r_b:
    #     skip = (n // ga - 5000) * ga
    #     dp = [gb * skip] * (n + 1 - skip)
    # elif (n // sa - 5000) > 0 and r_s >= 1 and r_s >= r_g and r_s >= r_b:
    #     skip = (n // sa - 5000) * sa
    #     dp = [sb * skip] * (n + 1 - skip)
    # elif (n // ba - 5000) > 0 and r_b >= 1 and r_b >= r_g and r_b >= r_s:
    #     skip = (n // ba - 5000) * ba
    #     dp = [bb * skip] * (n + 1 - skip)
    # else:
    #     skip = n - 1
    #     dp = [n - 1] * 2
    dp = [0] * (n + 1)

    for i in range(1, len(dp)):
        g_trade = dp[i - ga] + gb if i - ga >= 0 else dp[i - 1]
        s_trade = dp[i - sa] + sb if i - sa >= 0 else dp[i - 1]
        b_trade = dp[i - ba] + bb if i - ba >= 0 else dp[i - 1]
        dp[i] = max(dp[i - 1] + 1, g_trade, s_trade, b_trade)
    # print(dp)
    a_result = dp[-1]

    # B->Aでのトレード成果
    # r_g = ga / gb
    # r_s = sa / sb
    # r_b = ba / bb
    # skip_num = 5000
    # if (a_result // gb - 1) > 0 and r_g >= 1 and r_g >= r_s and r_g >= r_b:
    #     skip_num = max(sb // gb + 1, bb // gb + 1)*2
    #     skip = max((a_result // gb - skip_num), 0) * gb
    #     dp = [ga * skip] * (a_result + 1 - skip)
    # elif (a_result // sb - 1) > 0 and r_s >= 1 and r_s >= r_g and r_s >= r_b:
    #     skip_num = max(gb // sb + 1, bb // sb + 1)*2
    #     skip = max((a_result // sb - skip_num), 0) * sb
    #     dp = [sa * skip] * (a_result + 1 - skip)
    # elif (a_result // bb - 1) > 0 and r_b >= 1 and r_b >= r_g and r_b >= r_s:
    #     skip_num = max(sb // bb + 1, gb // bb + 1)*2
    #     skip = max((a_result // bb - skip_num), 0) * bb
    #     dp = [ba * skip] * (a_result + 1 - skip)
    # else:
    #     skip = a_result - 1
    #     dp = [a_result - 1] * 2
    dp = [0] * (a_result + 1)

    for i in range(1, len(dp)):
        g_trade = dp[i - gb] + ga if i - gb >= 0 else dp[i - 1]
        s_trade = dp[i - sb] + sa if i - sb >= 0 else dp[i - 1]
        b_trade = dp[i - bb] + ba if i - bb >= 0 else dp[i - 1]
        dp[i] = max(dp[i - 1] + 1, g_trade, s_trade, b_trade)
    # print(dp)
    print(dp[-1])

# n+1個のドングリを取引にかけたときに得られるドングリポテンシャルは
# n個までの最適+1, n-gA個までの最適+gB, n-sA個までの最適+sB, n-bA個までの最適+bBで一番大きくなる値

# AでBより安く金属を手に入れる
# Bでドングリに戻して、Aより安く金属を手に入れる
# Aでドングリに戻して帰る

Submission status: Time Limit Exceeded

Solution code:
def solve(n, ga, sa, ba, gb, sb, bb):
    gd, sd, bd = gb - ga, sb - sa, bb - ba

    if bd <= 0:
        if sd <= 0:
            if gd <= 0:
                return n
            return n + n // ga * gd
        return max(n + g * gd + (n - g * ga) // sa * sd for g in range(n // ga + 1))
    if sd <= 0:
        if gd <= 0:
            return n + n // ba * bd
        return max(n + g * gd + (n - g * ga) // ba * bd for g in range(n // ga + 1))
    if gd <= 0:
        return max(n + s * sd + (n - s * sa) // ba * bd for s in range(n // sa + 1))
    return max(n + g * gd + s * sd + (n - g * ga - s * sa) // ba * bd
               for g in range(n // ga + 1) for s in range((n - g * ga) // sa + 1))


n = int(input())
ga, sa, ba = list(map(int, input().split()))
gb, sb, bb = list(map(int, input().split()))
n2 = solve(n, ga, sa, ba, gb, sb, bb)
n3 = solve(n2, gb, sb, bb, ga, sa, ba)
print(n3)

Submission status: Time Limit Exceeded

Solution code:
#!usr/bin/env python3
from collections import defaultdict
from collections import deque
from heapq import heappush, heappop
import sys
import math
import bisect
import random
def LI(): return list(map(int, sys.stdin.readline().split()))
def I(): return int(sys.stdin.readline())
def LS():return list(map(list, sys.stdin.readline().split()))
def S(): return list(sys.stdin.readline())[:-1]
def IR(n):
    l = [None for i in range(n)]
    for i in range(n):l[i] = I()
    return l
def LIR(n):
    l = [None for i in range(n)]
    for i in range(n):l[i] = LI()
    return l
def SR(n):
    l = [None for i in range(n)]
    for i in range(n):l[i] = S()
    return l
def LSR(n):
    l = [None for i in range(n)]
    for i in range(n):l[i] = LS()
    return l
sys.setrecursionlimit(1000000)
mod = 1000000007

#A
def A():
    n,k = LI()
    print(n%k)
    return

#B
def B():
    n = I()
    po = LIR(n)
    if n == 1:
        print(1)
        quit()
    ans = float("inf")
    for i in range(n):
        for j in range(n):
            if i == j:continue
            x,y = po[i]
            s,t = po[j]
            p,q = s-x,t-y
            m = n
            for k in range(n):
                for l in range(n):
                    if (po[k][0]-po[l][0],po[k][1]-po[l][1]) == (p,q):m -= 1
            if m < ans:
                ans = m
    print(ans)
    return

#C
def C():
    n = I()
    a = LI()
    a.sort()
    if a[0] >= 0:
        print(sum(a)-2*a[0])
        for i in range(1,n-1):
            print(a[0],a[i])
            a[0] -= a[i]
        print(a[n-1],a[0])
    else:
        if a[-1] < 0:
            print(2*a[-1]-sum(a))
            for i in range(n-1):
                print(a[-1],a[i])
                a[-1] -= a[i]
        else:
            m = bisect.bisect_left(a,0)
            p = n-m
            ans = -sum(a[:m])+sum(a[m:])
            print(ans)
            if p > m:
                l = a[-1]
                a = a[:-1]
                a = a[::-1]
                p -= 1
                p,m = m,p
                k = a[m]-a[m-1]
                print(a[m],a[m-1])
                for i in range(p-1):
                    print(a[m-i-2],k)
                    k = a[m-i-2]-k
                    print(a[m+i+1],k)
                    k = a[m+i+1]-k
                for i in range(m-p):
                    print(k,a[i])
                    k -= a[i]
                print(l,k)
            else:
                k = a[m]-a[m-1]
                print(a[m],a[m-1])
                for i in range(p-1):
                    print(a[m-i-2],k)
                    k = a[m-i-2]-k
                    print(a[m+i+1],k)
                    k = a[m+i+1]-k
                for i in range(m-p):
                    print(k,a[i])
                    k -= a[i]
    return

#D
def D():
    n = I()
    a = LI()
    b = LI()
    ans = 0
    for i in range(n+1):
        if a[0]*i > n:break
        for j in range(n+1-a[0]*i):
            m = n-a[0]*i-a[1]*j
            if m < 0:
                continue
            mon = [i,j,0]
            if a[2] < b[2]:
                mon[2] = m//a[2]
                m %= a[2]
            for k in range(3):
                m += mon[k]*b[k]
            if m > ans:
                ans = m
    n = ans
    a,b = b,a
    for i in range(n+1):
        if a[0]*i > n:break
        for j in range(n+1-a[0]*i):
            m = n-a[0]*i-a[1]*j
            if m < 0:
                continue
            mon = [i,j,0]
            if a[2] < b[2]:
                mon[2] = m//a[2]
                m %= a[2]
            for k in range(3):
                m += mon[k]*b[k]
            if m > ans:
                ans = m
    print(ans)
    return

#E
def E():
    n = I()

    return

#F
def F():
    n = I()

    return

#G
def G():
    n = I()

    return

#H
def H():
    n = I()

    return

#I
def I_():
    n = I()

    return

#J
def J():
    n = I()

    return

#Solve
if __name__ == "__main__":
    D()

Submission status: Time Limit Exceeded

Solution code:
#!usr/bin/env python3
from collections import defaultdict
from collections import deque
from heapq import heappush, heappop
import sys
import math
import bisect
import random
def LI(): return list(map(int, sys.stdin.readline().split()))
def I(): return int(sys.stdin.readline())
def LS():return list(map(list, sys.stdin.readline().split()))
def S(): return list(sys.stdin.readline())[:-1]
def IR(n):
    l = [None for i in range(n)]
    for i in range(n):l[i] = I()
    return l
def LIR(n):
    l = [None for i in range(n)]
    for i in range(n):l[i] = LI()
    return l
def SR(n):
    l = [None for i in range(n)]
    for i in range(n):l[i] = S()
    return l
def LSR(n):
    l = [None for i in range(n)]
    for i in range(n):l[i] = LS()
    return l
sys.setrecursionlimit(1000000)
mod = 1000000007

#A
def A():
    n,k = LI()
    print(n%k)
    return

#B
def B():
    n = I()
    po = LIR(n)
    if n == 1:
        print(1)
        quit()
    ans = float("inf")
    for i in range(n):
        for j in range(n):
            if i == j:continue
            x,y = po[i]
            s,t = po[j]
            p,q = s-x,t-y
            m = n
            for k in range(n):
                for l in range(n):
                    if (po[k][0]-po[l][0],po[k][1]-po[l][1]) == (p,q):m -= 1
            if m < ans:
                ans = m
    print(ans)
    return

#C
def C():
    n = I()
    a = LI()
    a.sort()
    if a[0] >= 0:
        print(sum(a)-2*a[0])
        for i in range(1,n-1):
            print(a[0],a[i])
            a[0] -= a[i]
        print(a[n-1],a[0])
    else:
        if a[-1] < 0:
            print(2*a[-1]-sum(a))
            for i in range(n-1):
                print(a[-1],a[i])
                a[-1] -= a[i]
        else:
            m = bisect.bisect_left(a,0)
            p = n-m
            ans = -sum(a[:m])+sum(a[m:])
            print(ans)
            if p > m:
                l = a[-1]
                a = a[:-1]
                a = a[::-1]
                p -= 1
                p,m = m,p
                k = a[m]-a[m-1]
                print(a[m],a[m-1])
                for i in range(p-1):
                    print(a[m-i-2],k)
                    k = a[m-i-2]-k
                    print(a[m+i+1],k)
                    k = a[m+i+1]-k
                for i in range(m-p):
                    print(k,a[i])
                    k -= a[i]
                print(l,k)
            else:
                k = a[m]-a[m-1]
                print(a[m],a[m-1])
                for i in range(p-1):
                    print(a[m-i-2],k)
                    k = a[m-i-2]-k
                    print(a[m+i+1],k)
                    k = a[m+i+1]-k
                for i in range(m-p):
                    print(k,a[i])
                    k -= a[i]
    return

#D
def D():
    n = I()
    a = LI()
    b = LI()
    ans = 0
    for i in range(n+1):
        if a[0]*i > n:break
        for j in range(n+1-a[0]*i):
            m = n-a[0]*i-a[1]*j
            if m < 0:
                continue
            mon = [i,j,0]
            if a[2] < b[2]:
                mon[2] = m//a[2]
                m %= a[2]
            for k in range(3):
                m += mon[k]*b[k]
            ans = max(ans,m)
    n = ans
    a,b = b,a
    for i in range(n+1):
        if a[0]*i > n:break
        for j in range(n+1-a[0]*i):
            m = n-a[0]*i-a[1]*j
            if m < 0:
                continue
            mon = [i,j,0]
            if a[2] < b[2]:
                mon[2] = m//a[2]
                m %= a[2]
            for k in range(3):
                m += mon[k]*b[k]
            ans = max(ans,m)
    print(ans)
    return

#E
def E():
    n = I()

    return

#F
def F():
    n = I()

    return

#G
def G():
    n = I()

    return

#H
def H():
    n = I()

    return

#I
def I_():
    n = I()

    return

#J
def J():
    n = I()

    return

#Solve
if __name__ == "__main__":
    D()