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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#354178 | #8309. Mountain | PlentyOfPenalty# | RE | 0ms | 5508kb | C++17 | 3.0kb | 2024-03-14 22:59:28 | 2024-03-14 22:59:29 |
Judging History
answer
#include "bits/stdc++.h"
using namespace std;
const int MAXN = 211,MU = 1<<10;
typedef std::pair<int,int> pii;
void umax(double& a,double b){if(b>a)a=b;}
double INF = 1e20;
double f[MAXN][MU+10],pre[MAXN][MU+10];
double g[MAXN][MU+10];
int a[MAXN];
std::vector<pii>seq[MAXN];
double eval(int i,int y)
{
int l=a[i],r=a[i+1];
if(l>r)std::swap(l,r);
if(y>=r)return 0.0;
if(y>=l)
{
double low=1.0*(r-y)/(r-l);
//printf("Eval(%d,%d)=%.3lf\n",i,y,low);
return low*(r-y)/2;
}
double res=1.0*(r-l)/2 + (l-max(y,0));
//printf("Eval(%d,%d)=%.3lf\n",i,y,res);
return res;
}
int main()
{
//freopen("E.in","r",stdin);
cin.tie(0)->ios::sync_with_stdio(0);
int n,w,h;
cin>>n>>w>>h;
for(int i=1;i<=n;++i)cin>>a[i];
int U=(1<<(2*w))-1;
for(int i=1;i<=n;++i)
{
for(int s=0;s<=U;++s)
{
//printf("try i=%d,s=%d\n",i,s);
for(int j=-w;j<w*2;++j)
if(i+j>=0&&i+j<=n)seq[i+j].clear();
bool fail=0;
for(int j=0;j<w*2;++j)
if(s&(1<<j))
{
int t=i-j;
//printf("j=%d,t=%d,at=%d\n",j,t,a[t]);
if(t<=0)fail=1;
for(int k=-w;k<w;++k)
if(t+k>=0&&t+k<=n)seq[t+k].push_back(pii(a[t]-h,a[t]+h));
}
if(fail)g[i][s]=-INF;
else
{
//printf("i=%d,s=%d\n",i,s);
double sum=0;
for(int k=-w;k<w;++k)
{
if(i+k<0&&i+k>n)continue;
auto q=seq[i+k];
//printf("Consider %d\n",i+k);
std::sort(q.begin(),q.end());
int l=-1e9,r=-1e9;
for(auto [x,y]:q)
{
//printf("[%d,%d]\n",x,y);
if(r<x)sum+=eval(i+k,l)-eval(i+k,r),l=x,r=y;
else r=max(y,r);
}
sum+=eval(i+k,l)-eval(i+k,r);
}
//printf("i=%d,s=%d,g=%.6lf\n",i,s,sum);
g[i][s]=sum;
}
}
}
//fill(f,f+MAXN*(MU>>1),-INF);
int A=U>>1;
for(int j=0;j<=n;++j)
for(int s=0;s<=A;++s)
f[j][s]=-INF;
f[0][0]=0;
for(int i=1;i<=n;++i)
{
memcpy(pre,f,sizeof f);//,fill(f,f+MAXN*(MU>>1),-INF);
for(int j=0;j<=n;++j)
for(int s=0;s<=A;++s)
f[j][s]=-INF;
for(int j=0;j<=i;++j)
{
for(int s=0;s<=A;++s)
{
umax(f[j][(s<<1)&A],pre[j][s]);
umax(f[j+1][(s<<1|1)&A],pre[j][s]+ g[i][s<<1|1]-g[i][s<<1] );
}
}
}
for(int j=1;j<=n;++j)
{
double ans=-INF;
for(int s=0;s<=A;++s)umax(ans,f[j][s]);
printf("%.10lf\n",ans);
}
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 5508kb
input:
3 1 2 2 1 3
output:
3.5000000000 4.5000000000 5.1666666667
result:
ok 3 numbers
Test #2:
score: -100
Runtime Error
input:
2 3 78 55 51