UESTC - 594 我要长高

时间:2023-03-09 09:35:02
UESTC - 594 我要长高

他们oj挂掉啦, 我先保存一下代码。。。

直接dp复杂度, n * 100 * 100, 我们可以将前一个人的信息丢进单调队列中去,可以优化成n * 100;

#include<bits/stdc++.h>
#define LL long long
#define fi first
#define se second
#define mk make_pair
#define pii pair<int,int>
#define piii pair<int, pair<int,int> > using namespace std; const int N = 5e4 + ;
const int M = + ;
const int inf = 0x3f3f3f3f;
const LL INF = 0x3f3f3f3f3f3f3f3f;
const int mod = 1e9 + ;
const double eps = 1e-; int n, c, head1, head2, rear1, rear2;
int sk1[N], sk2[N], a[N], dp[N][]; void init() {
for(int i = ; i <= n; i++) {
for(int j = ; j <= ; j++) {
dp[i][j] = inf;
}
}
head1 = head2 = ;
rear1 = rear2 = ;
}
int main() {
while(scanf("%d%d", &n, &c) != EOF) { init();
for(int i = ; i <= n; i++) {
scanf("%d", &a[i]);
} for(int j = a[]; j <= ; j++) {
dp[][j] = (j - a[]) * (j - a[]);
} for(int i = ; i <= n; i++) { rear1 = rear2 = ;
head1 = head2 = ; for(int j = ; j <= ; j++) { while(head1 < rear1 && dp[i - ][j] + c * j < dp[i - ][sk1[rear1 - ]] + c * sk1[rear1 - ]) rear1--;
sk1[rear1++] = j;
} for(int j = ; j >= ; j--) { while(head2 < rear2 && dp[i - ][j] - c * j < dp[i - ][sk2[rear2 - ]] - c * sk2[rear2 - ]) rear2--;
sk2[rear2++] = j;
} for(int j = a[i]; j <= ; j++) {
while(head1 < rear1 && sk1[head1] < j) head1++;
if(head1 < rear1) dp[i][j] = dp[i - ][sk1[head1]] + c * sk1[head1] + (j - a[i]) * (j - a[i]) - c * j;
} for(int j = ; j >= a[i]; j--) {
while(head2 < rear2 && sk2[head2] > j) head2++;
if(head2 < rear2) dp[i][j] = min(dp[i][j], dp[i - ][sk2[head2]] - c * sk2[head2] + (j - a[i]) * (j - a[i]) + c * j);
}
} int ans = inf;
for(int j = a[n]; j <= ; j++) {
ans = min(ans, dp[n][j]);
}
printf("%d\n", ans);
}
return ;
}
/*
*/