Submission #158402

# Submission time Handle Problem Language Result Execution time Memory
158402 2019-10-17T00:21:28 Z mhy908 Split the sequence (APIO14_sequence) C++14
0 / 100
26 ms 9764 KB
#include <bits/stdc++.h>
#define F first
#define S second
#define pb push_back
#define llinf 8987654321987654321
using namespace std;
typedef long long LL;
typedef pair<int, int> pii;
typedef pair<LL, LL> pll;
int n, k;
LL arr[100010], sum[100010], dp[2][100010];
int pass[210][100010];
struct LinearFunc{
    LL a, b;
    int c;
    long double s;
    LinearFunc(): LinearFunc(1, 0, 0){}
    LinearFunc(LL a1, LL b1, int c1): a(a1), b(b1), s(0), c(c1){}
}f[100010];
long double cross(LinearFunc &f, LinearFunc &g){
    return (long double)(g.b-f.b)/(long double)(f.a-g.a);
}
void print(int num, int x){
    if(num<=1)return;
    print(num-1, pass[num][x]);
    printf("%d ", pass[num][x]);
}
int main()
{
    scanf("%d %d", &n, &k);
    for(int i=1; i<=n; i++)scanf("%lld", &arr[i]), sum[i]=sum[i-1]+arr[i];
    for(int j=1; j<=k+1; j++){
        int top=0, fpos=0;
        for(int i=1; i<j; i++)dp[j%2][i]=dp[j%2][i-1]+arr[i]*arr[i], pass[j][i]=i-1;
        for(int i=j; i<=n; i++){
            LinearFunc g(-2*sum[i-1], dp[(j+1)%2][i-1]+sum[i-1]*sum[i-1], i-1);
            while(top>0){
                if(f[top-1].a!=g.a){
                    g.s=cross(f[top-1], g);
                    if(f[top-1].s<g.s)break;
                    if(--top==fpos)fpos--;
                }
                else{
                    if(f[top-1].b>=g.b)break;
                    if(--top==fpos)fpos--;
                }
            }
            f[top++]=g;
            LL x=sum[i];
            while(fpos+1<top&&f[fpos+1].s<x)fpos++;
            dp[j%2][i]=f[fpos].a*x+f[fpos].b+sum[i]*sum[i];
            pass[j][i]=f[fpos].c;
        }
    }
    printf("%lld\n", (sum[n]*sum[n]-dp[(k+1)%2][n])/2);
    print(k+1, n);
}
/*
5 1
0 1 0 0 1
*/

Compilation message

sequence.cpp: In constructor 'LinearFunc::LinearFunc(LL, LL, int)':
sequence.cpp:16:17: warning: 'LinearFunc::s' will be initialized after [-Wreorder]
     long double s;
                 ^
sequence.cpp:15:9: warning:   'int LinearFunc::c' [-Wreorder]
     int c;
         ^
sequence.cpp:18:5: warning:   when initialized here [-Wreorder]
     LinearFunc(LL a1, LL b1, int c1): a(a1), b(b1), s(0), c(c1){}
     ^~~~~~~~~~
sequence.cpp: In function 'int main()':
sequence.cpp:30:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d %d", &n, &k);
     ~~~~~^~~~~~~~~~~~~~~~~
sequence.cpp:31:50: 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", &arr[i]), sum[i]=sum[i-1]+arr[i];
                            ~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Incorrect 6 ms 5112 KB declared answer doesn't correspond to the split scheme: declared = 130, real = 66
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 6 ms 4988 KB declared answer doesn't correspond to the split scheme: declared = 1095923, real = 1090726
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 6 ms 5112 KB declared answer doesn't correspond to the split scheme: declared = 614182304, real = 610590000
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 6 ms 5112 KB declared answer doesn't correspond to the split scheme: declared = 22180108, real = 20154026
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 8 ms 5496 KB declared answer doesn't correspond to the split scheme: declared = 2241956612, real = 1496550000
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 26 ms 9764 KB declared answer doesn't correspond to the split scheme: declared = 26244369280, real = 6292740000
2 Halted 0 ms 0 KB -