Similar Number - HDU 4595
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Similar Number
Time Limit: 6000/3000 MS (Java/Others) Memory Limit: 131072/131072 K (Java/Others)Total Submission(s): 260 Accepted Submission(s): 62
Problem Description
We can call two numbers “similar” if their lengths are equal and we can make a number ‘’similar’’ through swapping some digits of itself. For instance, 123 is similar to 321 but 12 is not similar to 120.
A sequence can be called “similar sequence” if this sequence has only one pair of ‘’similar’’ numbers.
Now, Zero writes a series of integers and he needs you to answer his queries online. For each query, he gives you two integers l and r, which represent the two endpoints of a segment. He wants to know how many successive subsequences are “similar sequences”.
A sequence can be called “similar sequence” if this sequence has only one pair of ‘’similar’’ numbers.
Now, Zero writes a series of integers and he needs you to answer his queries online. For each query, he gives you two integers l and r, which represent the two endpoints of a segment. He wants to know how many successive subsequences are “similar sequences”.
Input
There are multiple test cases.
In the first line of every test case there are two integers n (0<n<=100000) and m (0<=m<=100000), meaning that the sequence contains n integers and m queries.
The next line contains n integers a[i] (1<=i<=n, a[i] <= 109), which represent the integers in the sequence.
After that, there are m lines, each line containing two integers l and r.
Zero thinks that it is too simple for him to solve this problem, so he sets a variable k. In the beginning of each test case, k = 0. For each query, he sets l = l + k and r = r - k, Zero guarantees that 0<l<=r<=n, then make k the answer of this query.
The input ends with EOF.
In the first line of every test case there are two integers n (0<n<=100000) and m (0<=m<=100000), meaning that the sequence contains n integers and m queries.
The next line contains n integers a[i] (1<=i<=n, a[i] <= 109), which represent the integers in the sequence.
After that, there are m lines, each line containing two integers l and r.
Zero thinks that it is too simple for him to solve this problem, so he sets a variable k. In the beginning of each test case, k = 0. For each query, he sets l = l + k and r = r - k, Zero guarantees that 0<l<=r<=n, then make k the answer of this query.
The input ends with EOF.
Output
For each query, output an integer, and there is no blank line after each test.
Sample Input
5 52 2 2 2 2 1 41 81 41 6-1 5
Sample Output
31130
题意:定义相似数为两个数的数字组合相同,相似区间为这个区间内有且仅有一对相似数。给定l和r,求共有多少个相似区间。
思路:参考http://blog.csdn.net/acm_cxlove/article/details/8931000,大概就是求出区间内相似对数>=1的,和>=2的,然后做差,剩余的就是你=1的
AC代码如下:
#include<cstdio>#include<cstring>#include<map>#include<string>#include<algorithm>using namespace std;typedef long long ll;map<string,int> match;char s[100010][20];int n,m,point[100010],one[100010],two[100010],sum_one[100010],sum_two[100010];bool cmp(char a,char b){ return a<b;}int main(){ int i,j,k,a,b,len,c,pos; ll l,r,ans; while(~scanf("%d%d",&n,&m)) { for(i=1;i<=n;i++) scanf("%s",s[i]); match.clear(); for(i=n;i>=1;i--) { len=strlen(s[i]); sort(s[i],s[i]+len,cmp); k=match[s[i]]; if(k==0) point[i]=n+1; else point[i]=k; match[s[i]]=i; } a=n+1;b=n+1; for(i=n;i>=1;i--) { c=point[i]; if(c<a) b=a,a=c; else if(c<b) b=c; one[i]=a; two[i]=b; } for(i=1;i<=n;i++) { sum_one[i]=sum_one[i-1]+(one[i]-1); sum_two[i]=sum_two[i-1]+(two[i]-1); } ans=0; while(m--) { scanf("%I64d%I64d",&l,&r); l+=ans; r-=ans; ans=0; pos=upper_bound(one+1,one+n,r)-one-1; if(pos>=l) ans+=r*(pos-l+1)-(sum_one[pos]-sum_one[l-1]); pos=upper_bound(two+1,two+n,r)-two-1; if(pos>=l) ans-=r*(pos-l+1)-(sum_two[pos]-sum_two[l-1]); printf("%I64d\n",ans); } }}
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