AtCoder Regular Contest 177
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翻译中…

Problem Statement

翻译中…

In Japan, there are six types of coins in circulation: $1$ yen, $5$ yen, $10$ yen, $50$ yen, $100$ yen, and $500$ yen. Answer the following question regarding these coins.

翻译中…

Mr. AtCoder's wallet contains $A$ $1$-yen coins, $B$ $5$-yen coins, $C$ $10$-yen coins, $D$ $50$-yen coins, $E$ $100$-yen coins, and $F$ $500$-yen coins.

He is planning to shop at $N$ stores in sequence. Specifically, at the $i$-th store $(1 \leq i \leq N)$, he plans to buy one item that costs $X_i$ yen (including tax).

Giving and receiving change takes time, so he wants to choose his coins so that he can pay the exact amount at each store. Determine if this is possible.

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Constraints

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  • $0 \leq A \leq 200$
  • $0 \leq B \leq 200$
  • $0 \leq C \leq 200$
  • $0 \leq D \leq 200$
  • $0 \leq E \leq 200$
  • $0 \leq F \leq 200$
  • $1 \leq N \leq 10$
  • $1 \leq X_i \leq 10000 \ (1 \leq i \leq N)$
  • All input values are integers.
翻译中…

Input

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The input is given from Standard Input in the following format:

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A B C D E F
N
X_1 X_2 \cdots X_N

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Output

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Print Yes if the objective is achievable, and No otherwise.

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样例

Input #1
0 0 6 3 4 1
3
700 250 160
Output #1
Yes
For example, he can make exact payments at all three stores as follows: - At the first store: Use two $100$-yen coins and one $500$-yen coin. - At the second store: Use five $10$-yen coins and two $100$-yen coins. - At the third store: Use one $10$-yen coin and three $50$-yen coins.
Input #2
0 0 0 2 4 0
3
100 200 300
Output #2
No
The total amount in the wallet is $500$ yen, but a total payment of $100+200+300=600$ yen is required, so it is impossible to purchase all the items.
Input #3
0 0 0 0 8 8
1
250
Output #3
No
There are no $50$-yen or smaller coins in the wallet, so it is impossible to pay exactly $250$ yen.
Input #4
20 5 9 7 10 6
5
177 177 177 177 177
Output #4
Yes
Input #5
17 5 9 7 10 6
5
177 177 177 177 177
Output #5
No
题目信息
题号
arc177_a
时间限制
2 s
内存限制
1024 MB

题面与样例版权归 AtCoder 及出题人所有;中文翻译由 AI 生成(CI 管线),如有出入请以原文为准。