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91 changes: 91 additions & 0 deletions Strings/Stringoholics.cpp
Original file line number Diff line number Diff line change
@@ -0,0 +1,91 @@
#define MOD 1000000007
typedef long long ll;

// Helper function to return progressive sum

ll prod(ll n) {
return ((n * (n + 1))) / 2;
}

// Function to return the min time taken to get the original string after rotation

ll timeTaken(string s) {
if (s.size() == 1) {
return 1;
}
while (s.size() % 2 == 0) {
string firstHalf = string(s.begin(), s.begin() + s.size() / 2);
string secondHalf = string(s.begin() + s.size() / 2, s.end());
if (firstHalf == secondHalf) {
s = firstHalf;
} else break;
}
ll res = 1;
int i = 1;
for (; i < 2 * s.size(); i ++) {
if (prod(i) % s.size() == 0) {
return i;
}
}
return i;
}

// Create sieve of erastothenes and map prime numbers

unordered_map<ll, ll> makeSieve(int n = 500) {
unordered_map<ll, ll> umap;
vector<bool> num(n, 1);
for (int i = 2; i * i <= n; i ++) {
for (int j = 2; j * i <= n; j ++) {
num[i * j] = 0;
}
}
for (int i = 2; i < num.size(); i ++) {
if (num[i]) {
umap[i] = 0;
}
}
return umap;
}

// Seperate the factors of the min. time to get LCM

void seperateFactors(ll num, unordered_map<ll, ll> &umap) {
for (auto it: umap) {
ll exponentVal = 0;
if (num % it.first == 0) {
while (num % it.first == 0) {
exponentVal ++;
num /= it.first;
}
if (exponentVal > it.second) {
umap[it.first] = exponentVal;
}
}
}
if (num != 1) {
umap[num] = 1;
}
return;
}

// Driver

int Solution::solve(vector<string> &A) {
ll res = 1;
auto umap = makeSieve();
for (int i = 0; i < A.size(); i ++) {
long long val = timeTaken(A[i]);
seperateFactors(val, umap);
}
for (auto it: umap) {
ll expVal = 1;
ll maxExp = it.second;
while (maxExp) {
expVal = (expVal * it.first) % MOD;
maxExp --;
}
res = (res * expVal) % MOD;
}
return res;
}