標籤:des http strong io for 問題
D - Mutiples on a circle
Time Limit:1000MS
Memory Limit:65535KB
64bit IO Format:%I64d & %I64uSubmit Status
Description
Tom has a necklace with n jewels. There is a number on each jewel. Now Tom wants to select a wonderful chain from the necklace. A chain will be regarded wonderful if the wonderful value of the chain is a multiple of a key number K. Tom gets the wonderful value using this way:He writes down the number on the chain in clockwise order and concatenates them together. In this way, he gets a decimal number which is defined as the wonderful value.
For example, consider a necklace with 5 jewels and corresponding numbers on the jewels are 9 6 4 2 8 (9 and 8 are in neighborhood). Assume we take K=7, then we can find that only five chains can be multiples of K. They are 42, 28, 896, 42896 and 89642.
Now Tom wants to know that how many ways he can follow to select a wonderful chain from his necklace.
Input
The input contains several test cases, terminated by EOF.
Each case begins with two integers n( 1 ≤ n ≤ 50000), K(1 ≤ K ≤ 200),the length of the necklace and the key number.
The second line consists of n integer numbers, the i-th number a i(1 ≤ a i ≤ 1000) indicating the number on the ith jewel. It’s given in clockwise order.
Output
For each test case, print a number indicating how many ways Tom can follow to select a wonderful chain.
Sample Input
5 79 6 4 2 8
Sample Output
5 舉一個例子:7開始的話就有:它是一個環,首尾相接的。7 79 796 7964 79642 796428 7964285 思路沒問題,演算法還不會最佳化,需要繼續學習。窮舉完所有可能然後一一排除,數組多了複雜度就很大。每一個都是N(N+1)/2總共要做N*(N+1)*N/2必然逾時。。。
#include<stdio.h>main(){int x[100008];int n,k,i,s,sum,m,z,t;while(scanf("%d %d",&n,&k)!=EOF){z=0;for(i=1;i<=n;i++){scanf("%d",&x[i]);}for(i=n+1;i<=2*n;i++){x[i]=x[i-n];}for(m=1;m<=n;m++){sum=x[m];if(sum%k==0)z++;for(i=1;i<n;i++){sum=sum*10+x[m+i];if(sum%k==0)z++;}}printf("%d\n",z);}}