Submission #940748

# Submission time Handle Problem Language Result Execution time Memory
940748 2024-03-07T14:55:26 Z sleepntsheep Building Bridges (CEOI17_building) C
100 / 100
49 ms 35596 KB
#include<stdio.h>
#define N 100001

long long lo(long long a,long long b){return a<b?a:b;}

int n,h[N];
long long w[N];

struct line { long long m,c; } t[1<<21];

void insert(int v,int l,int r,struct line k)
{
    int m=(l+r)/2;
    struct line tt;
    int lef=k.m*l+k.c<t[v].m*l+t[v].c;
    int mid=k.m*m+k.c<t[v].m*m+t[v].c;
    if(mid) tt=k,k=t[v],t[v]=tt;
    if(l==r)return;
    if(lef^mid) insert(2*v+1,l,(l+r)/2,k);
    else insert(2*v+2,(l+r)/2+1,r,k);
}

long long query(int v,int l,int r,int x)
{
    int m=(l+r)/2;
    if(l==r)return t[v].m*l+t[v].c;
    if(x<=m)return lo(t[v].m*x+t[v].c,query(2*v+1,l,(l+r)/2,x));
    return lo(t[v].m*x+t[v].c,query(2*v+2,(l+r)/2+1,r,x));
}

int main()
{
    for(int i=0;i<sizeof t/sizeof*t;++i)t[i].c=1e18,t[i].m=0;
    scanf("%d",&n);
    for(int i=1;i<=n;++i)scanf("%d",h+i);
    for(int i=1;i<=n;++i)scanf("%lld",w+i),w[i]+=w[i-1];

    insert(0,0,1e6,(struct line){-2*h[1],h[1]*1ll*h[1]+-w[1]});
    for(int i=2;i<=n;++i)
    {
        long long cst=w[i-1]+h[i]*1ll*h[i]+query(0,0,1e6,h[i]);
        if(i==n) { printf("%lld",cst);return 0; }
        insert(0,0,1e6,(struct line){-2*h[i],cst+h[i]*1ll*h[i]-w[i]});
    }
}

Compilation message

building.c: In function 'main':
building.c:34:5: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
   34 |     scanf("%d",&n);
      |     ^~~~~~~~~~~~~~
building.c:35:26: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
   35 |     for(int i=1;i<=n;++i)scanf("%d",h+i);
      |                          ^~~~~~~~~~~~~~~
building.c:36:26: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
   36 |     for(int i=1;i<=n;++i)scanf("%lld",w+i),w[i]+=w[i-1];
      |                          ^~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 8 ms 34396 KB Output is correct
2 Correct 6 ms 34360 KB Output is correct
3 Correct 5 ms 34364 KB Output is correct
4 Correct 6 ms 34396 KB Output is correct
5 Correct 6 ms 34352 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 42 ms 34400 KB Output is correct
2 Correct 49 ms 34400 KB Output is correct
3 Correct 42 ms 34392 KB Output is correct
4 Correct 40 ms 34400 KB Output is correct
5 Correct 37 ms 34392 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 34396 KB Output is correct
2 Correct 6 ms 34360 KB Output is correct
3 Correct 5 ms 34364 KB Output is correct
4 Correct 6 ms 34396 KB Output is correct
5 Correct 6 ms 34352 KB Output is correct
6 Correct 42 ms 34400 KB Output is correct
7 Correct 49 ms 34400 KB Output is correct
8 Correct 42 ms 34392 KB Output is correct
9 Correct 40 ms 34400 KB Output is correct
10 Correct 37 ms 34392 KB Output is correct
11 Correct 46 ms 35596 KB Output is correct
12 Correct 48 ms 35420 KB Output is correct
13 Correct 41 ms 35416 KB Output is correct
14 Correct 47 ms 35424 KB Output is correct
15 Correct 38 ms 35164 KB Output is correct
16 Correct 46 ms 35164 KB Output is correct
17 Correct 30 ms 35408 KB Output is correct
18 Correct 38 ms 35556 KB Output is correct