#pragma GCC optimize ("O3") #pragma GCC target ("avx") #include "bits/stdc++.h" // define macro "/D__MAI" using namespace std; typedef long long int ll; #define debugv(v) {printf("L%d %s => ",__LINE__,#v);for(auto e:v){cout< ",__LINE__,#m);for(int x=0;x<(w);x++){cout<<(m)[x]<<" ";}cout< ostream& operator <<(ostream &o, const pair p) { o << "(" << p.first << ":" << p.second << ")"; return o; } mt19937 mt(8901016); inline int rand_int(int l, int h) { return uniform_int_distribution<>(l, h)(mt); } #ifdef __MAI #define getchar_unlocked getchar #define putchar_unlocked putchar #endif #ifdef __VSCC #define getchar_unlocked _getchar_nolock #define putchar_unlocked _putchar_nolock #endif namespace { #define isvisiablechar(c) (0x21<=(c)&&(c)<=0x7E) class MaiScanner { public: template void input_integer(T& var) { var = 0; T sign = 1; int cc = getchar_unlocked(); for (; cc<'0' || '9'>(int& var) { input_integer(var); return *this; } inline MaiScanner& operator>>(long long& var) { input_integer(var); return *this; } inline MaiScanner& operator>>(string& var) { int cc = getchar_unlocked(); for (; !isvisiablechar(cc); cc = getchar_unlocked()); for (; isvisiablechar(cc); cc = getchar_unlocked()) var.push_back(cc); } template void in(IT begin, IT end) { for (auto it = begin; it != end; ++it) *this >> *it; } }; } MaiScanner scanner; ll n,step,tim; ll aa[111]; int main() { scanner >> n >> step >> tim; scanner.in(aa, aa + n); sort(aa, aa + n); map> ofli; for (int i = 0; i < n; ++i) { ofli[(aa[i] % step + step) % step].push_back(i); } ll counter = 0; for (auto& p : ofli) { if (p.second.size() == 1) { counter += tim * 2 + 1; } else { ll offset = p.first; bool start = false; ll left = 0; ll right = 0; for (auto idx : p.second) { if (!start) { ll ce = (aa[idx] - offset) / step; left = ce - tim; right = ce + tim; start = true; } else { ll ce = (aa[idx] - offset) / step; ll l = ce - tim; ll r = ce + tim; if (right < l) { counter += tim * 2 + 1; left = l; right = r; } else { ll c = right - l + 1; counter += tim * 2 + 1 - c; left = l; right = r; } } } counter += tim * 2 + 1; } } cout << counter << endl; return 0; }