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Submission #207247

# Submission time Handle Problem Language Result Execution time Memory
207247 2020-03-06T19:46:37 Z DodgeBallMan Building Bridges (CEOI17_building) C++14
100 / 100
 64 ms 6264 KB 
#include <bits/stdc++.h>
#define pll pair<long long, long long>
#define x first
#define y second
 
using namespace std;
 
const int N = 1<<20;
const int M = 1e5 + 10;
const int K = 1e6;

const long long INF = 1e18;
bool chk[N<<1];
int n;
long long sum[M], h[M], dp[M];
pll seg[N<<1];
 
long long get( pll a, long long x ) { return a.x * x + a.y; }
 
void update( pll li, int l = 0, int r = K, int idx = 1 ) {
    if( !chk[idx] ) {
        chk[idx] = true, seg[idx] = li;
        return ;
    }
    if( get( li, l ) > get( seg[idx], l ) && get( li, r ) > get( seg[idx], r ) ) return ;
    if( get( li, l ) < get( seg[idx], l ) && get( li, r ) < get( seg[idx], r ) ) return void( seg[idx] = li );
    int mid = ( l + r ) >> 1;
    if( get( li, l ) < get( seg[idx], l ) ) swap( seg[idx], li );
    if( l == r ) return ;
    if( get( li, mid ) < get( seg[idx], mid ) ) swap( seg[idx], li ), update( li, l, mid, idx<<1 );
    else update( li, mid+1, r, idx<<1|1 );
}
 
long long query( long long x, int l = 0, int r = K, int idx = 1 ) {
    if( !chk[idx] ) return INF;
    if( l == r ) return get( seg[idx], x );
    int mid = ( l + r ) >> 1;
    if( x <= mid ) return min( query( x, l, mid, idx<<1 ), get( seg[idx], x ) );
    else return min( get( seg[idx], x ), query( x, mid + 1, r, idx<<1|1 ) );
}
 
int main()
{
    scanf("%d",&n);
    for( int i = 1 ; i <= n ; i++ ) scanf("%lld",&h[i]);
    for( int i = 1 ; i <= n ; i++ ) {
        scanf("%lld",&sum[i]);
        sum[i] += sum[i-1];
    }
    for( int i = 1 ; i <= n ; i++ ) {
        if( i != 1 ) dp[i] = query( h[i] ) + h[i] * h[i] + sum[i-1];
        //printf("%d %lld %lld %lld\n",i,query( h[i] ), sum[i-1],dp[i]);
        update( pll( -2LL*h[i], h[i]*h[i] - sum[i] + dp[i] ) );
        
    }
    //printf("\n");
    printf("%lld\n",dp[n]);
    return 0;
}

Compilation message

building.cpp: In function 'int main()':
building.cpp:44:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d",&n);
     ~~~~~^~~~~~~~~
building.cpp:45:42: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     for( int i = 1 ; i <= n ; i++ ) scanf("%lld",&h[i]);
                                     ~~~~~^~~~~~~~~~~~~~
building.cpp:47:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%lld",&sum[i]);
         ~~~~~^~~~~~~~~~~~~~~~

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 376 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 57 ms 3064 KB Output is correct
2 Correct 64 ms 3192 KB Output is correct
3 Correct 56 ms 3064 KB Output is correct
4 Correct 55 ms 2808 KB Output is correct
5 Correct 43 ms 4860 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 376 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 57 ms 3064 KB Output is correct
7 Correct 64 ms 3192 KB Output is correct
8 Correct 56 ms 3064 KB Output is correct
9 Correct 55 ms 2808 KB Output is correct
10 Correct 43 ms 4860 KB Output is correct
11 Correct 55 ms 2936 KB Output is correct
12 Correct 56 ms 3064 KB Output is correct
13 Correct 48 ms 2808 KB Output is correct
14 Correct 56 ms 2936 KB Output is correct
15 Correct 45 ms 6264 KB Output is correct
16 Correct 44 ms 4856 KB Output is correct
17 Correct 29 ms 2680 KB Output is correct
18 Correct 28 ms 2680 KB Output is correct