#include #include #include // https://yukicoder.me/problems/no/728 using ll = long long; using ull = unsigned long long; template constexpr T PopCount(T v) { return v = (v & 0x5555555555555555ULL) + (v >> 1 & 0x5555555555555555ULL), v = (v & 0x3333333333333333ULL) + (v >> 2 & 0x3333333333333333ULL), v = (v + (v >> 4)) & 0x0F0F0F0F0F0F0F0FULL, static_cast(v * 0x0101010101010101ULL >> 56 & 0x7f); } template constexpr T log2p1(T v) { return v |= (v >> 1), v |= (v >> 2), v |= (v >> 4), v |= (v >> 8), v |= (v >> 16), v |= (v >> 32), PopCount(v); } template constexpr bool ispow2(const T v) { return (v << 1) == (T(1) << (log2p1(v))); } template constexpr T ceil2(const T v) { return ispow2(v) ? v : T(1) << log2p1(v); } template constexpr T floor2(const T v) { return v == 0 ? T(0) : ispow2(v) ? v : T(1) << (log2p1(v) - 1); } //!==============================================================================================!// //! dP dP dP dP dP 8888ba.88ba dP !// //! 88 88 88 88 88 88 '8b '8b 88 !// //! 88 .8P .8P .d8888b. dP .dP .d8888b. 88 .d8888b. d8888P 88 88 88 .d8888b. d8888P !// //! 88 d8' d8' 88' '88 88 d8' 88ooood8 88 88ooood8 88 88 88 88 88' '88 88 !// //! 88.d8P8.d8P 88. .88 88 .88' 88. ... 88 88. ... 88 88 88 88 88. .88 88 !// //! 8888' Y88' '88888P8 8888P' '88888P' dP '88888P' dP dP dP dP '88888P8 dP !// //!==============================================================================================!// template class WaveletMatrix { public: using T = unsigned long long; template WaveletMatrix(const InIt first, const InIt last) : sz(std::distance(first, last)) // [0,2^L)の整数列 { std::vector b(sz); std::vector v(first, last); for (std::size_t i = 0, j = L - 1; i < L; i++, j--) { std::vector z, o; for (std::size_t i = 0; i < sz; i++) { b[i] = (v[i] >> j) & 1, (b[i] ? o : z).push_back(v[i]); } table.push_back(FID{b}), v = z, zero.push_back(z.size()); for (const T e : o) { v.push_back(e); } } } std::size_t noLessThan(std::size_t l, std::size_t r, const T v) const // x[l,r) \in [v,2^L) { std::size_t ans = 0; for (std::size_t i = 0, j = L - 1; i < L; i++, j--) { const bool b = (v >> j) & 1; const std::size_t rl = table[i].rank(l), rr = table[i].rank(r); l = (b ? rl + zero[i] : l - rl), r = (b ? rr + zero[i] : r - rr), ans += (b ? 0 : rr - rl); } return r - l + ans; } std::size_t lessThan(const std::size_t l, const std::size_t r, const T v) const { return r - l - noLessThan(l, r, v); } // x[l,r) \in [0,v) std::size_t rangeFreq(const std::size_t l, const std::size_t r, const T vinf, const T vsup) const { return noLessThan(l, r, vinf) - noLessThan(l, r, vsup); } // x[l,r) \in [vinf,vsup) std::size_t rank(const std::size_t l, const std::size_t r, const T v) const { return rangeFreq(l, r, v, v + 1); } // x[l,r) \in {v} T quantile(std::size_t l, std::size_t r, std::size_t k) const // x[l,r) k-th { std::size_t ans = 0; for (std::size_t i = 0, j = L - 1; i < L; i++, j--) { const std::size_t rl = table[i].rank(l), rr = table[i].rank(r); const bool b = rr - rl > k; l = (b ? rl + zero[i] : l - rl), r = (b ? rr + zero[i] : r - rr), k += (b ? 0 : k -= rr - rl), ans |= ((std::size_t)b << j); } return ans; } private: class FID { private: using B = unsigned long long; static constexpr std::size_t BS = sizeof(B) * 8; const std::size_t sz; std::vector data; std::vector large; public: FID(const std::vector& b) : sz(b.size()), data((sz + BS) / BS, 0), large((sz + BS) / BS, 0) { std::size_t one = 0; for (std::size_t i = 0; i < sz; i++) { data[i / BS] |= ((B)b[i] << (i % BS)), one += b[i]; if (i % BS == BS - 1) { large[(i + 1) / BS] = one; } } } bool operator[](const std::size_t n) const { return (data[n / BS] >> (n % BS)) & 1; } std::size_t rank(const std::size_t n) const { return large[n / BS] + (n % BS == 0 ? 0 : PopCount(data[n / BS] & ((1ULL << (n % BS)) - 1))); } }; const std::size_t sz; std::vector zero; std::vector table; }; int main() { std::size_t N; std::cin >> N; std::vector A(N), A_L(N), L(N), R(N); for (std::size_t i = 0; i < N; i++) { std::cin >> A[i], A[i] += 1000000000ULL; } for (std::size_t i = 0; i < N; i++) { std::cin >> L[i] >> R[i], A_L[i] = A[i] - L[i]; } WaveletMatrix<40> wm(A_L.begin(), A_L.end()); ull ans = 0; for (std::size_t i = 0; i < N; i++) { const ull Obj = A[i] + R[i]; const std::size_t ri = std::size_t(std::upper_bound(A.begin(), A.end(), Obj) - A.begin()); ans += wm.rangeFreq(i + 1, ri, 0, A[i] + 1); } std::cout << ans << std::endl; return 0; }