Description
Transmitting and memorizing information is a task that requires different coding systems for the best use of the available space. A well known system is that one where a number is associated to a character sequence. It is considered that the words are made only of small characters of the English alphabet a,b,c, ..., z (26 characters). From all these words we consider only those whose letters are in lexigraphical order (each character is smaller than the next character).
The coding system works like this:
• The words are arranged in the increasing order of their length. • The words with the same length are arranged in lexicographical order (the order from the dictionary). • We codify these words by their numbering, starting with a, as follows:
The coding system works like this:
• The words are arranged in the increasing order of their length. • The words with the same length are arranged in lexicographical order (the order from the dictionary). • We codify these words by their numbering, starting with a, as follows:
a - 1
b - 2
...
z - 26
ab - 27
...
az - 51
bc - 52
...
vwxyz - 83681
...
Specify for a given word if it can be codified according to this coding system. For the affirmative case specify its code.
Specify for a given word if it can be codified according to this coding system. For the affirmative case specify its code.
Input
The only line contains a word. There are some constraints: • The word is maximum 10 letters length • The English alphabet has 26 characters.
Output
The output will contain the code of the given word, or 0 if the word can not be codified.
Sample Input
bf
Sample Output
55
题意显而易见;看代码吧
#include<stdio.h> #include<string.h> #include<stdlib.h> #define maxn 30 int main() { long long i, j, k, a[maxn][maxn]={0}, b[maxn]={0,26};//a[3][2]代表长度3(i),以b(j)开头的的有多少个 char s[20]; for(i=1; i<=26; i++) a[1][i] = 1; for(i=2; i<=26; i++) { for(j=1; j<=26; j++) { for(k=j+1; k<=26; k++) a[i][j] += a[i-1][k]; b[i] += a[i][j]; } } while(scanf("%s", s) != EOF) { int len = strlen(s), ok=0; long long sum = 0; for(i=1; i<len; i++) sum += b[i]; for(i=1;i<s[0]-'a'+1;i++) sum+=a[len][i]; len--; for(i=1; s[i]; i++) { if( s[i] <= s[i-1]) ok = 1; for(j=s[i-1]-'a'+2;j<s[i]-'a'+1;j++) { sum+=a[len][j]; } len--; } if(ok) printf("0 "); else printf("%lld ", sum+1); } return 0; }