A: Water question, after sorting the structures, check whether the sequences of the two arrays are the same.
B: Write out the nth power of 1, 2, 3, 4 respectively, taking the modulus of 5. You will find that there is a loop section with the remainder of 5. If %4 = 0, output 4, otherwise output 0.
Just write a large number and take the remainder.
B. Fedya and Maths
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output
Fedya studies in a gymnasium. Fedya's maths hometask is to calculate the following expression:
(1n? ?2n? ?3n? ?4n) mod 5for given value of n. Fedya managed to complete the task. Can you? Note that given number n can be extremely large (e.g. it can exceed any integer type of your programming language).
Input
The single line contains a single integer n (0?≤?n?≤?10105). The number doesn't contain any leading zeroes.
Output
Print the value of the expression without leading zeros .
Sample test(s)
input
output
input
124356983594583453458888889
output
Note
Operation x mod y means taking remainder after division x by y.
Note to the first sample:
#include <algorithm>#include <iostream>#include <stdlib.h>#include <string.h>#include <iomanip>#include <stdio.h>#include <string>#include <queue>#include <cmath>#include <stack>#include <ctime>#include <map>#include <set>#define eps 1e-9///#define M 1000100///#define LL __int64#define LL long long///#define INF 0x7ffffff#define INF 0x3f3f3f3f#define PI 3.1415926535898#define zero(x) ((fabs(x)<eps)?0:x)using namespace std;const int maxn = 1000010;int main(){ string s; while(cin >>s) { int n= s.size(); int cnt = s[0]-'0'; for(int i = 1; i < n; i++) { cnt %= 4; cnt = (cnt*10+(s[i]-'0'))%4; } if(cnt%4 == 0) cout<<4<<endl; else cout<<0<<endl; }}
First hash based on the number, and then perform linear dp pass, dp[i][1] = ma(dp[i-2][0], dp[i-2][1 ]) vis[i]*i,dp[i][0] = max(dp[i-1][0], dp[i-1][1]). 1 means to take this number, 0 means not to take it . Note that the data type must be long long.
C. Boredom
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output
Alex doesn't like boredom. That's why whenever he gets bored, he comes up with games. One long winter evening he came up with a game and decided to play it.
Given a sequence a consisting of n integers. The player can make several steps. In a single step he can choose an element of the sequence (let's denote it ak) and delete it, at that all elements equal to ak? ? 1 and ak?-?1 also must be deleted from the sequence. That step brings ak points to the player.
Alex is a perfectionist, so he decided to get as many points as possible. Help him.
Input
The first line contains integer n (1?≤?n?≤?105) that shows how many numbers are in Alex's sequence.
The second line contains n integers a1, a2, ..., an (1?≤?ai?≤?105).
Output
Print a single integer? the maximum number of points that Alex can earn.
Sample test(s)
input
21 2
output
input
31 2 3
output
input
91 2 1 3 2 2 2 2 3
output
10
Note
Consider the third test example. At first step we need to choose any element equal to 2. After that step our sequence looks like this [2,?2,?2,?2]. Then we do 4 steps, on each step we choose any element equals to 2. In total we earn 10 points.
#include <algorithm>#include <iostream>#include <stdlib.h>#include <string.h>#include <iomanip>#include <stdio.h>#include <string>#include <queue>#include <cmath>#include <stack>#include <ctime>#include <map>#include <set>#define eps 1e-9///#define M 1000100///#define LL __int64#define LL long long///#define INF 0x7ffffff#define INF 0x3f3f3f3f#define PI 3.1415926535898#define zero(x) ((fabs(x)<eps)?0:x)using namespace std;const int maxn = 1000010;LL vis[maxn];LL dp[maxn][2];int main(){ int n; while(cin >>n) { int x; memset(vis, 0, sizeof(vis)); memset(dp, 0, sizeof(dp)); for(int i = 0; i < n; i++) { scanf("%d",&x); vis[x] ++; } dp[1][1] = vis[1]; dp[2][1] = vis[2]*2; dp[2][0] = dp[1][1]; for(int i = 3; i <= maxn-10; i++) { dp[i][1] = max(dp[i-2][0], dp[i-2][1])+vis[i]*i; dp[i][0] = max(dp[i-1][0], dp[i-1][1]); } cout<<max(dp[maxn-10][0], dp[maxn-10][1])<<endl; } return 0;}