Submission #1269558

#TimeUsernameProblemLanguageResultExecution timeMemory
1269558biank상형문자열 (IOI24_hieroglyphs)C++20
44 / 100
47 ms22052 KiB
#include "hieroglyphs.h" #include <bits/stdc++.h> using namespace std; #define forsn(i, s, n) for (int i = int(s); i < int(n); i++) #define forn(i, n) forsn(i, 0, n) #define dforsn(i, s, n) for (int i = int(n) - 1; i >= int(s); i--) #define dforn(i, n) dforsn(i, 0, n) #define all(x) begin(x), end(x) #define sz(x) int(x.size()) using vi = vector<int>; using vb = vector<bool>; #define pb push_back #define eb emplace_back struct FTree { int n; vi ft; FTree(int _n) : n(_n + 9), ft(n, 0) {} void update(int pos, int val) { for (++pos; pos < n; pos += pos & -pos) ft[pos] += val; } int get(int pos) { int s = 0; for (; pos > 0; pos -= pos & -pos) s += ft[pos]; return s; } int query(int l, int r) { return get(r) - get(l); } }; const int M = 2e5 + 9; vi buildFreq(vi &a) { vi freq(M, 0); for (int x : a) freq[x]++; return freq; } vi subsequence(vi &a, vb &type, bool active) { vi w; dforn(i, sz(a)) if (type[a[i]] == active) w.pb(a[i]); return w; } vector<vi> buildWhere(vi &a) { vector<vi> where(M); forn(i, sz(a)) where[a[i]].pb(i); return where; } bool check(int x, int c_x, int y, int c_y, const vector<vi> &where) { if (c_x == 0) return sz(where[y]) >= c_y; if (c_y == 0) return sz(where[x]) >= c_x; return sz(where[x]) >= c_x && sz(where[y]) >= c_y && where[x][c_x - 1] < where[y][sz(where[y]) - c_y]; } bool common_subsecuence(int x, int c_x, int y, int c_y, const vector<vi> &where_a, const vector<vi> &where_b) { return check(x, c_x, y, c_y, where_a) && check(x, c_x, y, c_y, where_b); } bool is_subseq(vi &s, vi &a) { int i = 0, j = 0; while (i < sz(s) && j < sz(a)) { if (s[i] == a[j]) i++; j++; } return i == sz(s); } bool check(vi &A, vi &B, vi &cnt_a, vi &cnt_b, vector<vi> &where_a, vector<vi> &where_b) { FTree ft(sz(A)); forn(i, sz(B)) { // B: x y x, A: y x y int x = B[i]; if (cnt_b[x] == 2 && cnt_a[x] == 1) { if (where_b[x][0] == i) ft.update(where_a[x][0], 1); else ft.update(where_a[x][0], -1); } if (cnt_b[x] == 1 && cnt_a[x] == 2 && ft.query(where_a[x][0], where_a[x][1] + 1) > 0) { return false; } } return true; } vi ucs(vi A, vi B) { vi cnt_a = buildFreq(A), cnt_b = buildFreq(B); vector<vi> where_a = buildWhere(A), where_b = buildWhere(B); bool flag = true; forn(i, M) flag &= cnt_a[i] + cnt_b[i] <= 3; if (flag && !check(A, B, cnt_a, cnt_b, where_a, where_b)) return vi{-1}; vb type(M); forn(i, M) type[i] = cnt_a[i] <= cnt_b[i]; vi w_a = subsequence(A, type, true), w_b = subsequence(B, type, false); vi have(M, 0), remainding(M); forn(i, M) remainding[i] = min(cnt_a[i], cnt_b[i]); vi ret; while (!w_a.empty() && !w_b.empty()) { int x = w_a.back(), y = w_b.back(); bool X = common_subsecuence(x, have[x] + 1, y, remainding[y], where_a, where_b); bool Y = common_subsecuence(y, have[y] + 1, x, remainding[x], where_a, where_b); if (X && Y) return vi{-1}; if (X) { ret.pb(x), w_a.pop_back(), have[x]++, remainding[x]--; } else { ret.pb(y), w_b.pop_back(), have[y]++, remainding[y]--; } } while (!w_a.empty()) ret.pb(w_a.back()), w_a.pop_back(); while (!w_b.empty()) ret.pb(w_b.back()), w_b.pop_back(); if (!is_subseq(ret, A) || !is_subseq(ret, B)) return vi{-1}; return ret; }
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