Road to Post Office

题意:

一个人要从0走到d,可以坐车走k米,之后车就会坏,你可以修或不修,修要花t时间,坐车单位距离花费a时间,走路单位距离花费b时间,问到d的最短时间。

题解:

首先要分成k段,k段的总长是ovmod,每一段可以选择修车坐车或选择走路,(只有第一段的时候不用修车),最后在加上剩下的那些路的时间,剩下的是mod,(可以选择修车坐车或选择走路)最后min答案就好了。但其中还有一种情况要注意,就是前ovmod也可以选择坐车之后不修走着,所以这种要特殊处理下。

代码:

#include <bits/stdc++.h>
using namespace std; typedef long long ll;
const int INF=0x3f3f3f3f;
const ll LINF=0x3f3f3f3f3f3f3f3f;
#define PU puts("");
#define PI(A) cout<<A<<endl
#define SI(N) cin>>N
#define SII(N,M) cin>>N>>M
#define cle(a,val) memset(a,(val),sizeof(a))
#define rep(i,b) for(int i=0;i<(b);i++)
#define Rep(i,a,b) for(int i=(a);i<=(b);i++)
#define reRep(i,a,b) for(int i=(a);i>=(b);i--)
#define dbg(x) cout <<#x<<" = "<<x<<endl
#define PIar(a,n) rep(i,n)cout<<a[i]<<" ";cout<<endl;
#define PIarr(a,n,m) rep(aa,n){rep(bb, m)cout<<a[aa][bb]<<" ";cout<<endl;}
const double EPS= 1e-9 ; /* ///////////////////////// C o d i n g S p a c e ///////////////////////// */ const int MAXN= 1000 + 9 ; ll d,k,a,b,t; int main()
{
iostream::sync_with_stdio(false);
cin.tie(0);cout.tie(0);
while(cin>>d>>k>>a>>b>>t)
{
ll ans=0;
if (d<=k)
{
cout<<min(d*a,d*b)<<endl;
continue;
}
ll mod=d%k;
ll ovmod=d/k*k;
//后面的那种情况就是,选择坐车之后不修走着
ans+=min(min(ovmod/k*t-t+ovmod*a,ovmod*b),(ovmod-k)*b+k*a);
ans+=min(t+mod*a,mod*b);
PI(ans);
}
return 0;
}

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