[Codeforces Round #186 (Div. 2)] B. Ilya and Queries
Ilya the Lion wants to help all his friends with passing exams. They need to solve the following problem to pass the IT exam.
You've got string s = s1s2... sn (n is the length of the string), consisting only of characters "." and "#" and m queries. Each query is described by a pair of integers li, ri (1 ≤ li < ri ≤ n). The answer to the query li, ri is the number of such integers i (li ≤ i < ri), that si = si + 1.
Ilya the Lion wants to help his friends but is there anyone to help him? Help Ilya, solve the problem.
The first line contains string s of length n (2 ≤ n ≤ 105). It is guaranteed that the given string only consists of characters "." and "#".
The next line contains integer m (1 ≤ m ≤ 105) — the number of queries. Each of the next m lines contains the description of the corresponding query. The i-th line contains integers li, ri (1 ≤ li < ri ≤ n).
Print m integers — the answers to the queries in the order in which they are given in the input.
......
4
3 4
2 3
1 6
2 6
1
1
5
4
#..###
5
1 3
5 6
1 5
3 6
3 4
1
1
2
2
0
题解:一个字符串只有.或者#字符,给你一段区间[x,y],y>x,在这个区间里面统计s[i]=s[i+1]最多个数。
线性动态规划:转移方程
if(a[i]==a[i-1])
f[i]=f[i-1]+1;
else f[i]=f[i-1];
题目地址:http://codeforces.com/contest/313/problem/B
代码:
1 #include<stdio.h> 2 #include<string.h> 3 4 int i,j,n,x,y,m, 5 f[110000]; 6 char a[110000]; 7 8 9 int 10 main() 11 { 12 gets(a); 13 m=strlen(a); 14 f[0]=0; 15 for(i=1;i<m;i++) 16 { 17 if(a[i]==a[i-1]) 18 f[i]=f[i-1]+1; 19 else f[i]=f[i-1]; 20 } 21 22 scanf("%d",&n); 23 while(n--) 24 { 25 scanf("%d%d",&x,&y); 26 printf("%d\n",f[y-1]-f[x-1]); 27 } 28 29 return 0; 30 } 31