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Copy path1663-smallest-string-with-given-numeric-value.c
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103 lines (81 loc) · 2.59 KB
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#include <string>
#include <cassert>
#include <iostream>
#include <map>
#include <algorithm>
using namespace std;
/*
The numeric value of a lowercase character is defined as its position (1-indexed) in the alphabet, so the numeric value of a is 1, the numeric value of b is 2, the numeric value of c is 3, and so on.
The numeric value of a string consisting of lowercase characters is defined as the sum of its characters' numeric values. For example, the numeric value of the string "abe" is equal to 1 + 2 + 5 = 8.
You are given two integers n and k. Return the lexicographically smallest string with length equal to n and numeric value equal to k.
Note that a string x is lexicographically smaller than string y if x comes before y in dictionary order, that is, either x is a prefix of y, or if i is the first position such that x[i] != y[i], then x[i] comes before y[i] in alphabetic order.
Example 1:
Input: n = 3, k = 27
Output: "aay"
Explanation: The numeric value of the string is 1 + 1 + 25 = 27, and it is the smallest string with such a value and length equal to 3.
Example 2:
Input: n = 5, k = 73
Output: "aaszz"
Constraints:
1 <= n <= 10^5
n <= k <= 26 * n
*/
std::map<int, char> alpha = {
{ 1 , 'a' },
{ 2 , 'b' },
{ 3 , 'c' },
{ 4 , 'd' },
{ 5 , 'e' },
{ 6 , 'f' },
{ 7 , 'g' },
{ 8 , 'h' },
{ 9 , 'i' },
{ 10, 'j' },
{ 11, 'k' },
{ 12, 'l' },
{ 13, 'm' },
{ 14, 'n' },
{ 15, 'o' },
{ 16, 'p' },
{ 17, 'q' },
{ 18, 'r' },
{ 19, 's' },
{ 20, 't' },
{ 21, 'u' },
{ 22, 'v' },
{ 23, 'w' },
{ 24, 'x' },
{ 25, 'y' },
{ 26, 'z' }
};
class Solution {
public:
string getSmallestString(int n, int k) {
string result;
while(k) {
int weight = alpha.size();
if(k == n) {
weight = 1;
}
else if(k - (n - 1) < weight)
weight = k - (n - 1);
if(alpha.count(weight)) {
result += alpha[weight];
n--;
k -= weight;
}
}
std::reverse(result.begin(), result.end());
return result;
}
};
int main(int argc, char * argv[]) {
Solution sol;
assert(sol.getSmallestString(3, 27) == "aay");
assert(sol.getSmallestString(5, 73) == "aaszz");
assert(sol.getSmallestString(2,52) == "zz");
assert(sol.getSmallestString(3,3) == "aaa");
assert(sol.getSmallestString(2,25) == "ax");
cout << "tests is passed!" << endl;
return 0;
}