Thursday, June 1, 2017

UVa 674 Coin Change


//aarifshuvo   ``CSEJU

#include <bits/stdc++.h>
#define ll long long
#define SZ(x) ((int)(x).size())
#define scl(x) scanf("%lld", &x)
#define scll(x,y) scanf("%lld %lld", &x, &y)
#define ALL(x) (x).begin(),(x).end()
#define REP(i,n) for(int i=0;i<n;i++)
#define REV(i,n) for(int i=n-1;i>=0;i--)
#define FOR(i,a,b) for(int i=a;i<=b;i++)
#define pri(a) cout<<a<<endl
#define prii(a,b) cout<<a<<" "<<b<<endl
using namespace std;

ll dp[6][7500];
ll ar[] = {1,5,10,25,50};
ll ttl;

ll calc(ll i, ll feas)
{
    if(i==5)
    {
        if(feas==0) return 1;
        else return 0;
    }

    if(dp[i][feas]!=-1) return dp[i][feas];

    dp[i][feas] = 0;

    for(int j=0; ; j++)
    {
        if(feas-ar[i]*j <0) break;

        dp[i][feas] += calc(i+1,feas - ar[i]*j);
    }
    return dp[i][feas];
}

int main()
{
    memset(dp,-1,sizeof dp);

    while(scl(ttl)==1)
    {
        printf("%lld\n",calc(0,ttl));
    }
    return 0;
}

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