// need #include #include // data structure #include #include #include #include #include #include #include #include //#include //#include #include // stream //#include //#include //#include #include // etc #include #include #include #include #include #include #include // input #define INIT std::ios::sync_with_stdio(false);std::cin.tie(0); #define VAR(type, ...)type __VA_ARGS__;MACRO_VAR_Scan(__VA_ARGS__); template void MACRO_VAR_Scan(T& t) { std::cin >> t; } templatevoid MACRO_VAR_Scan(First& first, Rest&...rest) { std::cin >> first; MACRO_VAR_Scan(rest...); } #define VEC_ROW(type, n, ...)std::vector __VA_ARGS__;MACRO_VEC_ROW_Init(n, __VA_ARGS__); for(int i=0; i void MACRO_VEC_ROW_Init(int n, T& t) { t.resize(n); } templatevoid MACRO_VEC_ROW_Init(int n, First& first, Rest&...rest) { first.resize(n); MACRO_VEC_ROW_Init(n, rest...); } template void MACRO_VEC_ROW_Scan(int p, T& t) { std::cin >> t[p]; } templatevoid MACRO_VEC_ROW_Scan(int p, First& first, Rest&...rest) { std::cin >> first[p]; MACRO_VEC_ROW_Scan(p, rest...); } #define VEC(type, c, n) std::vector c(n);for(auto& i:c)std::cin>>i; #define MAT(type, c, m, n) std::vector> c(m, std::vector(n));for(auto& r:c)for(auto& i:r)std::cin>>i; // output #define OUT(d) std::cout<<(d); #define FOUT(n, d) std::cout<=(a);--i) #define REP(i, n) for(int i=0;i=0;--i) #define FORLL(i, a, b) for(ll i=ll(a);i=ll(a);--i) #define REPLL(i, n) for(ll i=0;i=0;--i) #define IN(a, x, b) (a<=x && x inline T CHMAX(T& a, const T b) { return a = (a < b) ? b : a; } template inline T CHMIN(T& a, const T b) { return a = (a > b) ? b : a; } #define EXCEPTION(msg) throw std::string("Exception : " msg " [ in ") + __func__ + " : " + std::to_string(__LINE__) + " lines ]" #define TRY(cond, msg) try {if (cond) EXCEPTION(msg);}catch (std::string s) {std::cerr << s << std::endl;} void CHECKTIME(std::function f) { auto start = std::chrono::system_clock::now(); f(); auto end = std::chrono::system_clock::now(); auto res = std::chrono::duration_cast((end - start)).count(); std::cerr << "[Time:" << res << "ns (" << res / (1.0e9) << "s)]\n"; } // test template std::vector> VV(int n, int m, T init = T()) { return std::vector>(n, std::vector(m, init)); } template std::ostream& operator<<(std::ostream& os, std::pair p) { os << "(" << p.first << ", " << p.second << ")"; return os; } // type/const //#define int ll using ll = long long; using ull = unsigned long long; using ld = long double; using PAIR = std::pair; using PAIRLL = std::pair; constexpr int INFINT = 1 << 30; // 1.07x10^ 9 constexpr int INFINT_LIM = (1LL << 31) - 1; // 2.15x10^ 9 constexpr ll INFLL = 1LL << 60; // 1.15x10^18 constexpr ll INFLL_LIM = (1LL << 62) - 1 + (1LL << 62); // 9.22x10^18 constexpr double EPS = 1e-9; constexpr int MOD = 1000000007; constexpr double PI = 3.141592653589793238462643383279; template void FILL(T(&a)[N], const T& val) { for (auto& x : a) x = val; } template void FILL(ARY(&a)[N][M], const T& val) { for (auto& b : a) FILL(b, val); } template void FILL(std::vector& a, const T& val) { for (auto& x : a) x = val; } template void FILL(std::vector>& a, const T& val) { for (auto& b : a) FILL(b, val); } // ------------>8------------------------------------->8------------ signed main() { INIT; VAR(int, n, k, p); VEC_ROW(int, k, x, y); if (n == 1) { OUT(!p)BR; return 0; } int N = n * (n + 1) / 2; std::vector> g(N + 1); auto POS = [](int i, int j) { return i * (i + 1) / 2 + j; }; REP(i, n - 1) REP(j, i + 1) { g[POS(i, j)].emplace_back(POS(i + 1, j)); g[POS(i, j)].emplace_back(POS(i + 1, j + 1)); if (j > 0) g[POS(i, j)].emplace_back(POS(i, j - 1)); g[POS(i + 1, j)].emplace_back(POS(i, j)); g[POS(i + 1, j + 1)].emplace_back(POS(i, j)); if (j > 0) g[POS(i, j - 1)].emplace_back(POS(i, j)); } REP(i, k) { --x[i]; --y[i]; g[N].emplace_back(POS(x[i], y[i])); } std::vector dist(N + 1, INFINT); dist[N] = -1; std::queue que({N}); while (!que.empty()) { int now = que.front(); que.pop(); for (auto to : g[now]) { if (dist[to] > dist[now] + 1) { dist[to] = dist[now] + 1; que.push(to); } } } std::vector A(N), B(N), C(N), dp(N, INFINT); { // A REP(j, n) A[POS(n - 1, j)] = dist[POS(n - 1, j)]; REP(j, n - 1) A[POS(n - 2, j)] = dist[POS(n - 1, j)] + dist[POS(n - 1, j + 1)] + dist[POS(n - 2, j)]; RREP(i, n - 2) REP(j, i + 1) { A[POS(i, j)] = A[POS(i + 1, j)] + A[POS(i + 1, j + 1)] - A[POS(i + 2, j + 1)] + dist[POS(i, j)]; } } { // B B[POS(n - 1, 0)] = A[POS(n - 1, 0)]; FOR(j, 1, n) B[POS(n - 1, j)] = B[POS(n - 1, j - 1)] + dist[POS(n - 1, j)]; RREP(i, n - 1) { B[POS(i, 0)] = A[POS(i, 0)]; FOR(j, 1, i + 1) { B[POS(i, j)] = B[POS(i, j - 1)] + B[POS(i + 1, j + 1)] - B[POS(i + 1, j)] + dist[POS(i, j)]; } } } { // C C[POS(n - 1, n - 1)] = A[POS(n - 1, n - 1)]; RREP(j, n - 1) C[POS(n - 1, j)] = C[POS(n - 1, j + 1)] + dist[POS(n - 1, j)]; RREP(i, n - 1) { C[POS(i, i)] = A[POS(i, i)]; RREP(j, i) { C[POS(i, j)] = C[POS(i, j + 1)] + C[POS(i + 1, j)] - C[POS(i + 1, j + 1)] + dist[POS(i, j)]; } } } auto calcSub = [&](int i, int j, int b) { if (i == b) return dist[POS(i, j)]; if (b == n - 1) return A[POS(i, j)]; int l = j, r = j + (b - i) + 1; return A[POS(i, j)] - (B[POS(b + 1, r)] + C[POS(b + 1, l)] - B[POS(b + 1, b + 1)]); }; int ans = 0; RREP(i, n) REP(j, i + 1) { if (i == n - 1) { if (A[POS(i, j)] >= p) { ++ans; dp[POS(i, j)] = n - 1; } } else { dp[POS(i, j)] = std::min(dp[POS(i + 1, j)], dp[POS(i + 1, j + 1)]); int sum = A[POS(i, j)]; int& b = dp[POS(i, j)]; if (b == INFINT) { if (sum >= p) b = n - 1; else continue; } if (b < n - 1) { int l = j, r = j + (b - i); sum -= B[POS(b + 1, r)] + C[POS(b + 1, l)] - B[POS(b + 1, b + 1)]; } while (i < b && sum >= p) { sum = calcSub(i, j, --b); } CHMAX(b, i); while (b < n) { sum = calcSub(i, j, b); if (sum >= p) break; else ++b; } ans += n - b; } } OUT(ans)BR; return 0; }