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ConstructTheArray.cpp
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#include <bits/stdc++.h>
#define MOD 1000000007
using namespace std;
vector<string> split_string(string);
// Complete the countArray function below.
long countArray(int n, int k, int x) {
vector<long> countSame(n+1, 0);
vector<long> countDiff(n+1, 0);
countSame[2] = 0;
countDiff[2] = 1;
for(int i = 3; i <= n; ++i) {
countDiff[i] = (countSame[i-1] + (k-2) * countDiff[i-1]) % MOD;
countSame[i] = ((k-1) * countDiff[i-1]) % MOD;
}
if(x == 1) return countSame[n];
else return countDiff[n];
}
int main()
{
ofstream fout(getenv("OUTPUT_PATH"));
string nkx_temp;
getline(cin, nkx_temp);
vector<string> nkx = split_string(nkx_temp);
int n = stoi(nkx[0]);
int k = stoi(nkx[1]);
int x = stoi(nkx[2]);
long answer = countArray(n, k, x);
fout << answer << "\n";
fout.close();
return 0;
}
vector<string> split_string(string input_string) {
string::iterator new_end = unique(input_string.begin(), input_string.end(), [] (const char &x, const char &y) {
return x == y and x == ' ';
});
input_string.erase(new_end, input_string.end());
while (input_string[input_string.length() - 1] == ' ') {
input_string.pop_back();
}
vector<string> splits;
char delimiter = ' ';
size_t i = 0;
size_t pos = input_string.find(delimiter);
while (pos != string::npos) {
splits.push_back(input_string.substr(i, pos - i));
i = pos + 1;
pos = input_string.find(delimiter, i);
}
splits.push_back(input_string.substr(i, min(pos, input_string.length()) - i + 1));
return splits;
}