BZOJ 1096 [ZJOI2007]仓库建设斜率优化

2019-11-08 19:47:10

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#include <cstdio>#include <cstring>#include <algorithm>#include <cstring>#include <cmath>#define MAXN 1000005#define N 100#define LL long long#define INF 1000000005#define max(a,b) ((a)>(b)?(a):(b))#define min(a,b) ((a)<(b)?(a):(b))using namespace std;const double eps = 1e-8;/*f[i]=max{f[j]/(a[j]*rate[j]+b[j])*rate[j]*a[i]+f[j]/(a[j]*rate[j]+b[j])*b[i]} x[j]=f[j]/(a[j]*rate[j]+b[j])*rate[j] y[j]=f[j]/(a[j]*rate[j]+b[j])->f[i]=x[j]*a[i]+y[j]*b[i]->y[j]=f[i]/b[i]-x[j]*a[i]/b[i]*/LL read(){ LL t=0,f=1;char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-') f=-1;ch=getchar();} while(ch>='0'&&ch<='9'){t=t*10+ch-'0';ch=getchar();} return t*f;}LL n,l=1,r=0;LL f[MAXN],q[MAXN],b[MAXN],c[MAXN],p[MAXN],x[MAXN],s[MAXN];double getk(int i,int j){ return (double)(f[i]+b[i]-f[j]-b[j])/(double)(s[i]-s[j]);}int main(){ n=read(); for(int i=1;i<=n;i++) x[i]=read(),p[i]=read(),c[i]=read(); for(int i=1;i<=n;i++) s[i]=s[i-1]+p[i],b[i]=b[i-1]+x[i]*p[i]; q[++r]=0; for(int i=1;i<=n;i++) { while(l<r&&getk(q[l],q[l+1])<x[i]) l++; int j=q[l]; f[i]=f[j]+(s[i]-s[j])*x[i]-(b[i]-b[j])+c[i]; while(l<r&&getk(i,q[r])<getk(q[r],q[r-1])) r--; q[++r]=i; } PRintf("%lld",f[n]); return 0;}

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