Problem E. Minima
Time Limit: 20 Sec
Memory Limit: 256 MB
题目连接
http://codeforces.com/gym/100342/attachments
Description
You are given an array x[1 . . . n] and a number m. For all i from 1 to n−m+ 1 find the minimum among x[i], x[i + 1], . . . , x[i + m − 1] and return the sum of those minima.
Input
The first line of the input file contains three integer numbers: n, m and k (1 ≤ n ≤ 30 000 000, 1 ≤ m ≤ n, 2 ≤ k ≤ min(n, 1000)). The second line of the input file contains three integer numbers: a, b and c (−2 31 ≤ a, b, c ≤ 2 31 − 1). The third line of the input file contains k integer numbers: x[1], x[2], . . . , x[k] (−2 31 ≤ x[i] ≤ 2 31 − 1).
The rest of the array is calculated using the following formula: x[i] = f(a · x[i − 2] + b · x[i − 1] + c). Here f(y) returns such number −2 31 ≤ z ≤ 2 31 − 1 that y − z is divisible by 232
.
Output
Print one integer number — the sum of minima of all subarrays of length m of the given array.
Sample Input
10 3 2
1 1 0
0 1
Sample Output
33
HINT
题意
给你一个公式,然后可以推出剩下的数,然后问你m长的连续的序列的最小和为多少
题解:
直接暴力就好了= =
不要想多了,直接暴力……
代码:
#include <iostream> #include <cstring> #include <cstdio> #include <algorithm> #include <cmath> #include <vector> #include <stack> #include <map> #include <set> #include <queue> #include <iomanip> #include <string> #include <ctime> #include <list> typedef unsigned char byte; #define pb push_back #define input_fast std::ios::sync_with_stdio(false);std::cin.tie(0) #define local freopen("in.txt","r",stdin) #define pi acos(-1) using namespace std; const int maxn = 3e7 + 500; const long long MAX = (1LL<<31) - 1; const long long MIN = -(1LL<<31); const long long STD = 1LL << 32; const long long TR = 1ll << 31; long long a, b , c , ans = 0 ,front = 0 , rear = 0; int p[maxn] , q[maxn]; int n , m , k; inline int read() { int x=0,f=1;char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();} while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();} return x*f; } int main(int argc,char *argv[]) { freopen("minima.in","r",stdin); freopen("minima.out","w",stdout); //local; //cout <<( (-7)%5) << endl; //return 0; scanf("%d%d%d%I64d%I64d%I64d",&n,&m,&k,&a,&b,&c); for(int i = 1 ; i <= k ; ++ i) p[i]=read(); for(int i = k + 1 ; i <= n ; ++ i) { long long newval = 1LL * p[i-2] * a + p[i - 1] * b + c; if (newval < 0) { if(-newval>=STD) newval = newval % STD ; if(newval<-TR) newval+=STD; } else { if(newval>=STD) newval = newval % STD ; if(newval>=TR) newval-=STD; } p[i] = newval; } if (m > n) m = n; q[rear++] = 1; for(int i = 2 ; i <= m ; ++ i) { while(front < rear && p[i] < p[q[rear-1]]) rear--; q[rear++] = i; } ans += p[q[front]]; for(int i = m+1 ; i <= n ; ++ i) { while(front < rear && i - q[front] >= m) front++; while(front < rear && p[i] < p[q[rear-1]]) rear--; q[rear++] = i; ans += p[q[front]]; } printf("%I64d\n",ans); return 0; }