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POJ 1496 POJ 1850 组合计数
Code
Time Limit: 1000MS Memory Limit: 30000K
Total Submissions: 8256 Accepted: 3906
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:
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.
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
Source
Romania OI 2002
Time Limit: 1000MS Memory Limit: 30000K
Total Submissions: 8256 Accepted: 3906
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:
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.
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
Source
Romania OI 2002
/************************************** author : Grant Yuan time : 2014/10/12 17:06 algortihm: 组合计数 source : POJ 1496 POJ 1850 ***************************************/ #include<iostream> #include<algorithm> #include<cstdio> #include<cstring> #include<cstdlib> using namespace std; char a[27]; int num[27][27]; long long ans; bool check() { int l=strlen(a); if(l==1) return 1; for(int i=0;i<l-1;i++) if(a[i]>=a[i+1]) return 1; return 0; } void Get_num() { int l=strlen(a); for(int i=0;i<=26;i++) for(int j=0;j<=i;j++) { num[i][j]=0; if(i==0||j==0) num[i][j]=1; else num[i][j]=num[i-1][j]+num[i-1][j-1]; } } void Get_sum1() { int l=strlen(a); ans=0; for(int i=0;i<l;i++) ans+=num[26][i]; } void Get_sum2() { int l=strlen(a); for(int i=0;i<l;i++) { char j; if(i==0) j=‘a‘; else j=a[i-1]+1; for(;j<a[i];j++) { ans+=num[‘z‘-j][l-i-1]; } } } int main() { Get_num(); while(~scanf("%s",a)){ int l; l=strlen(a); if(l==1) {printf("%d\n",a[0]-‘a‘+1);continue;} if(check()) {printf("0\n");continue;} Get_sum1(); Get_sum2(); printf("%lld\n",ans); } return 0; }
POJ 1496 POJ 1850 组合计数
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