# | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
---|---|---|---|---|---|---|---|
87971 | Mercenary | Split the sequence (APIO14_sequence) | C++11 | 2103 ms | 83320 KiB |
이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include<bits/stdc++.h>
#define pb push_back
#define brokenheart "TEST"
using namespace std;
typedef long long ll;
typedef long double ld;
const int maxn = 1e5 + 5;
struct TVector{
int x;
ll y;
TVector operator - (const TVector & other)
{
return {other.x - x , other.y - y};
}
bool operator % (const TVector & other)
{
return (ld)x * other.y < (ld)other.x * y;
}
ll operator * (const ll & other)
{
return x * other + y;
}
bool operator < (const TVector & other)
{
if(x != other.x)return x < other.x;
return y < other.y;
}
};
int n , m , k , trace[maxn][201] , b[maxn] , sum[maxn];
ll dp[maxn][2];
TVector a[maxn];
void add(TVector now , int j)
{
while(m >= 2 && (a[m] - a[m - 1]) % (a[m] - now))--m;
a[++m] = now;
b[m] = j;
}
ll ans(TVector now , ll k)
{
return now.x * k + now.y;
}
char ch;
inline void fastio(int & x)
{
x = 0;
for(ch = getchar() ; ch < '0' || ch > '9' ; ch = getchar());
for( ; ch >= '0' && ch <= '9' ; ch = getchar())
x = x * 10 + ch - '0';
}
void enter()
{
fastio(n);fastio(k);
for(int i = 1 ; i <= n ; ++i)
{
fastio(sum[i]);
sum[i] += sum[i - 1];
}
bool bit = 0;
for(int i = 1 ; i <= k ; ++i)
{
bit ^= 1;
m = 0;
int p = 1;
for(int j = 1 ; j <= n ; ++j)
{
add({sum[j - 1] , dp[j - 1][bit ^ 1]} , j - 1);
p = min(p , m);
while(p < m && ans(a[p] , sum[j] - sum[n]) <= ans(a[p + 1] , sum[j] - sum[n]))
++p;
dp[j][bit] = ans(a[p] , sum[j] - sum[n]) + (ll)sum[n] * sum[j] - (ll)sum[j] * sum[j];
trace[j][i] = b[p];
}
}
int best = 1;
for(int i = 1 ; i <= n ; ++i)
if(dp[i][bit] >= dp[best][bit])best = i;
cout << dp[best][bit] << '\n';
for(int i = k ; i >= 1 ; --i)
{
// assert(best > 0);
cout << best << ' ';
best = trace[best][i];
}
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
if(fopen(brokenheart".INP","r"))
freopen(brokenheart".INP","r",stdin) ,
freopen(brokenheart".OUT","w",stdout);
enter();
}
컴파일 시 표준 에러 (stderr) 메시지
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