Problem 31 Coin sums（完全背包dp）

Coin sums

Problem 31

In England the currency is made up of pound, £, and pence, p, and there are eight coins in general circulation:

1p, 2p, 5p, 10p, 20p, 50p, £1 (100p) and £2 (200p).

It is possible to make £2 in the following way:

1×£1 + 1×50p + 2×20p + 1×5p + 1×2p + 3×1p

How many different ways can £2 be made using any number of coins?

Answer:	73682
Completed on Sat, 29 Oct 2016, 03:50

题解：完全背包。DP。

代码：

#include<bits/stdc++.h>
using namespace std;
int coins[8] = {1,2,5,10,20,50,100,200};
int dp[210];
int main()
{
  memset(dp,0,sizeof(dp));
  dp[0]=1;
  for(int i=0;i<8;i++)
  {
    for(int j=coins[i];j<=200;j++)
    {
      if(j>=coins[i])
      dp[j]+=dp[j-coins[i]];
    }
  }
  cout<<dp[200]<<endl;
  return 0;
}