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Submission #710628

#TimeUsernameProblemLanguageResultExecution timeMemory
710628CyanmondMeetings (IOI18_meetings)C++17
41 / 100
2228 ms11528 KiB
#include "meetings.h" #include <bits/stdc++.h> using i64 = long long; constexpr int inf = 1 << 30; template <class M> class LazySegmentTree { using T = typename M::T; using L = typename M::L; int n, logn, size; std::vector<T> data; std::vector<L> lazy; void update(int i) { data[i] = M::op(data[2 * i], data[2 * i + 1]); } void all_apply(int i, const L &f) { data[i] = M::map(f, data[i]); if (i < size) lazy[i] = M::composite(f, lazy[i]); } void push(int i) { all_apply(2 * i, lazy[i]); all_apply(2 * i + 1, lazy[i]); lazy[i] = M::id(); } public: LazySegmentTree(const std::vector<T> &vec) : n(vec.size()) { logn = 1; while ((1 << logn) < n) ++logn; size = 1 << logn; data.assign(2 * size, M::e()); lazy.assign(size, M::id()); std::copy(vec.begin(), vec.end(), data.begin() + size); for (int i = size - 1; i > 0; --i) update(i); } void apply(int l, int r, const L &f) { l += size, r += size; for (int d = logn; d >= 1; --d) { if (((l >> d) << d) != l) push(l >> d); if (((r >> d) << d) != r) push((r - 1) >> d); } int l2 = l, r2 = r; while (l < r) { if (l & 1) all_apply(l++, f); if (r & 1) all_apply(--r, f); l /= 2; r /= 2; } l = l2, r = r2; for (int d = 1; d <= logn; ++d) { if (((l >> d) << d) != l) update(l >> d); if (((r >> d) << d) != r) update((r - 1) >> d); } } T fold(int l, int r) { l += size, r += size; for (int d = logn; d >= 1; --d) { if (((l >> d) << d) != l) push(l >> d); if (((r >> d) << d) != r) push((r - 1) >> d); } T pl = M::e(), pr = M::e(); while (l < r) { if (l & 1) pl = M::op(pl, data[l++]); if (r & 1) pr = M::op(data[--r], pr); l /= 2; r /= 2; } return M::op(pl, pr); } }; struct Mon { using T = int; static T op(T a, T b) { return std::max(a, b); } static T e() { return -inf; } using L = int; static T map(L a, T b) { return a + b; } static L composite(L a, T b) { return a + b; } static L id() { return 0; } }; std::vector<long long> minimum_costs(std::vector<int> H, std::vector<int> L, std::vector<int> R) { int N = (int)H.size(), Q = (int)L.size(); const int maxH = *std::max_element(H.begin(), H.end()); assert(maxH <= 20); for (auto &e : H) --e; std::vector<std::vector<std::pair<int, int>>> ranges(maxH); std::vector<int> initVec(N + 1); for (int x = 0; x < maxH; ++x) { int l = 0; for (int i = 0; i < N; ++i) { if (H[i] >= x) { if (l != i) { ranges[x].push_back({l, i - 1}); } l = i + 1; } } if (l != N) ranges[x].push_back({l, N - 1}); for (const auto &[l, r] : ranges[x]) { initVec[l] += r - l + 1; initVec[r + 1] -= r - l + 1; } } for (int i = 0; i < N; ++i) initVec[i + 1] += initVec[i]; initVec.pop_back(); LazySegmentTree<Mon> seg(initVec); std::vector<i64> answer(Q); for (int i = 0; i < Q; ++i) { auto fixL = [&](int l, const std::pair<int, int> &range) { if (range.first >= l or range.second < l) return; seg.apply(l, range.second + 1, -(l - range.first)); }; auto fixR = [&](int r, const std::pair<int, int> &range) { if (range.first > r or range.second <= r) return; seg.apply(range.first, r + 1, -(range.second - r)); }; for (int x = 0; x < maxH; ++x) { auto itr = std::lower_bound(ranges[x].begin(), ranges[x].end(), std::make_pair(L[i], 0)); if (itr != ranges[x].begin()) { --itr; fixL(L[i], *itr); } itr = std::lower_bound(ranges[x].begin(), ranges[x].end(), std::make_pair(R[i] + 1, 0)); if (itr != ranges[x].begin()) { --itr; fixR(R[i], *itr); } } answer[i] = (R[i] - L[i] + 1) * maxH - seg.fold(L[i], R[i] + 1); auto revL = [&](int l, const std::pair<int, int> &range) { if (range.first >= l or range.second < l) return; seg.apply(l, range.second + 1, l - range.first); }; auto revR = [&](int r, const std::pair<int, int> &range) { if (range.first > r or range.second <= r) return; seg.apply(range.first, r + 1, range.second - r); }; for (int x = 0; x < maxH; ++x) { auto itr = std::lower_bound(ranges[x].begin(), ranges[x].end(), std::make_pair(L[i], 0)); if (itr != ranges[x].begin()) { --itr; revL(L[i], *itr); } itr = std::lower_bound(ranges[x].begin(), ranges[x].end(), std::make_pair(R[i] + 1, 0)); if (itr != ranges[x].begin()) { --itr; revR(R[i], *itr); } } } return answer; }
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