CodeForces 288A Polo the Penguin and Strings

探讨PolothePenguin面对特定条件下的字符串构造问题,包括长度、字符种类及顺序等约束,提供一种有效的解决方案。

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Polo the Penguin and Strings

Description

Little penguin Polo adores strings. But most of all he adores strings of length n.

One day he wanted to find a string that meets the following conditions:

The string consists of n lowercase English letters (that is, the string’s length equals n), exactly k of these letters are distinct.
No two neighbouring letters of a string coincide; that is, if we represent a string as s = s1s2… sn, then the following inequality holds, si ≠ si + 1(1 ≤ i < n).
Among all strings that meet points 1 and 2, the required string is lexicographically smallest.
Help him find such string or state that such string doesn’t exist.

String x = x1x2… xp is lexicographically less than string y = y1y2… yq, if either p < q and x1 = y1, x2 = y2, … , xp = yp, or there is such number r(r < p, r < q), that x1 = y1, x2 = y2, … , xr = yr and xr + 1 < yr + 1. The characters of the strings are compared by their ASCII codes.

Input

A single line contains two positive integers n and k(1 ≤ n ≤ 106, 1 ≤ k ≤ 26) — the string’s length and the number of distinct letters.

Output

In a single line print the required string. If there isn’t such string, print “-1” (without the quotes).

Sample Input

Input

7 4

Output

ababacd

Input

4 7

Output

-1


题意大致就是让你输出n个字母,然后一共要输出k种字母,要求是相邻两个字母不能相同,而且是字母越小越好(也就是这个字符串ASCLL码的和要最小)
所以输出固定为abababa……直到最后几个字母的时候把要求的字母种数补齐
例如n=5,k=4,输出就是abacd
注意:这题的坑在于要考虑n=1,k=1的时候要输出a,n!=1,k=1是无法输出的(不可能让相邻两个字母不同),应该输出-1;

#include <bits/stdc++.h>
using namespace std;

int main()
{
    long n;
    int k;
    scanf("%ld%d",&n,&k);
    if(n==1&&k==1)
    {
        printf("a");
        return 0;
    }
    if(n<k||k==1)
    {
        printf("-1");
        return 0;
    }
    int flag=0;
    char s=99;//ascll s=c
    for(int i=1; i<=n; i++)
    {
        if(i<=n-k+2&&flag==0)
        {
            printf("a");
            flag=1;
        }
        else if(i<=n-k+2&&flag==1)
        {
            printf("b");
            flag=0;
        }
        else if(i>=n-k-2)
        {
            printf("%c",s);
            s++;
        }
    }
    return 0;
}

include< bits/stdc++.h >

这个头文件包含以下等等C++中包含的所有头文件:

include < iostream>
include < cstdio>
include < fstream>
include < algorithm>
include < cmath>
include < deque>
include < vector>
include < queue>
include < string>
include < cstring>
include < map>
include < stack>
include < set>

是一个非常便利提高效率的头文件

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