Submission #806550

#TimeUsernameProblemLanguageResultExecution timeMemory
806550QwertyPiJousting tournament (IOI12_tournament)C++14
0 / 100
28 ms12088 KiB
#include <bits/stdc++.h> using namespace std; const int MAXN = 1e5 + 11; struct BIT{ int bit[MAXN] = {}; void add(int p, int v){ ++p; for(int i = p; i < MAXN; i += i & -i) bit[i] += v; } int qry(int p){ ++p; int r = 0; for(int i = p; i; i -= i & -i) r += bit[i]; return r; } int bs(int v){ int p = 0, s = 0; for(int j = 19; j >= 0; j--) if(p + (1 << j) < MAXN && s + bit[p + (1 << j)] <= v) s += bit[p + (1 << j)], p += (1 << j); return p; } } bit; struct ST{ int st[20][MAXN]; void init(int N, int *K){ for(int i = 0; i < N; i++) st[0][i] = K[i]; for(int j = 1; j < 20; j++){ for(int i = 0; i <= N - (1 << j); i++){ st[j][i] = max(st[j - 1][i], st[j - 1][i + (1 << (j - 1))]); } } } int qry(int l, int r){ assert(l <= r); int d = __lg(r - l + 1); return max(st[d][l], st[d][r - (1 << d) + 1]); } } RMQ; bool isMax(int i, int R, int l, int r){ assert(l <= i && i <= r); return R > RMQ.qry(l, r - 1); } struct update{ int p, c, t; }; struct range{ int l, r, l2, r2, t; bool include(int i){ return l <= i && i <= r; } bool can(int i, int R){ return !(l2 <= i && i <= r2) || R > RMQ.qry(l2, r2 - 1); } }; range operator+ (const range& a, const range& b){ if(a.t == 0 || b.t == 0) return a.t == 0 ? b : a; return {min(a.l, b.l), max(a.r, b.r), a.l2, a.r2, a.t + b.t}; } int C; struct SegTree{ range t[MAXN << 2]; void init(int *S, int *E, int v = 0, int l = 0, int r = C - 1){ if(l == r) t[v] = {S[l], E[l], S[l], E[l], 0}; else{ int m = (l + r) / 2; init(S, E, v * 2 + 1, l, m); init(S, E, v * 2 + 2, m + 1, r); t[v] = t[v * 2 + 1] + t[v * 2 + 2]; } } void enable(int p, int a, int v = 0, int l = 0, int r = C - 1){ if(l == r) t[v].t = a; else{ int m = (l + r) / 2; if(p <= m) enable(p, a, v * 2 + 1, l, m); else enable(p, a, v * 2 + 2, m + 1, r); t[v] = t[v * 2 + 1] + t[v * 2 + 2]; } } int left(int i, int v = 0, int l = 0, int r = C - 1){ if(l == r){ if(t[v].include(i)) return l; else return C; }else{ int m = (l + r) / 2; if(t[v * 2 + 1].include(i)) return left(i, v * 2 + 1, l, m); else return left(i, v * 2 + 2, m + 1, r); } } int right(int i, int R, int v = 0, int l = 0, int r = C - 1){ if(l == r){ if(t[v].can(i, R)) return l; else return -1; }else{ int m = (l + r) / 2; if(t[v * 2 + 2].can(i, R)) return right(i, R, v * 2 + 2, m + 1, r); else return right(i, R, v * 2 + 1, l, m); } } int sum(int qr, int v = 0, int l = 0, int r = C - 1){ if(l == r) return qr >= l ? t[v].t : 0; else{ int m = (l + r) / 2; if(qr <= m) return sum(qr, v * 2 + 1, l, m); else return t[v * 2 + 1].t + sum(qr, v * 2 + 2, m + 1, r); } } } st; int GetBestPosition(int N, int C, int R, int *K, int *S, int *E) { ::C = C; for(int i = 0; i < N; i++) bit.add(i, 1); for(int i = 0; i < C; i++){ int l = S[i] == 0 ? 0 : bit.bs(S[i] - 1) + 1; int r = bit.bs(E[i]); for(int j = E[i] - 1; j >= S[i]; j--){ bit.add(bit.bs(j), -1); } S[i] = l, E[i] = r; } RMQ.init(N, K); st.init(S, E); int mx = -1, ans = -1; vector<update> U; int uid = 0; for(int i = 0; i < C; i++){ U.push_back({S[i], i, 1}); U.push_back({E[i] + 1, i, 0}); } sort(U.begin(), U.end(), [](update a, update b){ return a.p < b.p; }); for(int i = 0; i < N; i++){ while(uid < C * 2 && U[uid].p <= i) st.enable(U[uid].c, U[uid].t), uid++; int r = st.right(i, R); int cnt = 0; for(int j = 0; j < C; j++){ cnt += R > RMQ.qry(S[j], E[j] - 1); } assert(st.sum(r) == cnt); int res = st.sum(r); if(res > mx){ mx = res; ans = i; } } return ans; }
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