Submission #11545

#TimeUsernameProblemLanguageResultExecution timeMemory
11545tncks0121전선 연결하기 (GA9_wire)C++14
0 / 100
284 ms30376 KiB
#define _CRT_SECURE_NO_WARNINGS #include <stdio.h> #include <stack> #include <memory.h> #include <assert.h> #include <stdlib.h> #include <algorithm> #include <set> #include <queue> #include <functional> using namespace std; const int N_ = 300500; int N, X, A[N_ + N_]; bool used[N_]; int L[N_], R[N_]; vector<int> inside[N_]; queue<int> que; queue<int> cand; set<int> rpos; stack<int> stk; void INVALID() { puts("INVALID"); exit(0); } int res[N_]; const int LEAF = 262144*4; int tree1[N_ + N_ + LEAF]; int tree2[N_ + N_ + LEAF]; void upd(int *tree, int x, int v) { tree[x += LEAF] = v; while (x >>= 1) tree[x] = max(tree[x + x], tree[x + x + 1]); } int query(int *tree, int x, int y) { x += LEAF; y += LEAF; int ret = -(int)1e7; while (x <= y) { if ((x & 1) == 1) ret = max(ret, tree[x]); if ((y & 1) == 0) ret = max(ret, tree[y]); x = (x + 1) >> 1; y = (y - 1) >> 1; } return ret; } void que_push(int v, int r = 1) { if (used[v]) return; que.push(v); res[v] = r; used[v] = true; upd(tree1, L[v], 0); upd(tree2, R[v], -(int)1e7); } int main() { //freopen("input.txt", "r", stdin); //freopen("output.txt", "w", stdout); scanf("%d", &N); X = N + N; for (int i = 1; i <= X; i++) { scanf("%d", A + i); if (!used[A[i]]) L[A[i]] = i; else R[A[i]] = i; used[A[i]] = true; } fill(tree2, tree2 + LEAF + X + 10, -(int)1e7); for (int i = 1; i <= N; i++) { upd(tree1, L[i], R[i]); upd(tree2, R[i], -L[i]); } memset(used, 0, sizeof used); for (int i = 1; i <= X; i++) { int a = A[i]; if (L[a] == i) { set<int>::iterator it = rpos.lower_bound(R[a]); if (it != rpos.end()) inside[A[*it]].push_back(a); else cand.push(a); rpos.insert(R[a]); } else { rpos.erase(R[a]); } } memset(used, 0, sizeof used); int cnt = 0; while (cnt < N) { que_push(cand.front()); cand.pop(); while (!que.empty()) { int u = que.front(); que.pop(); ++cnt; // 1. L[x] < L[u] < R[x] < R[u] for (int r; (r = query(tree1, 1, L[u])) > 0;) { if (r < L[u]) break; que_push(A[r], 3 - res[u]); } // 2. L[u] < L[x] < R[u] < R[x] for (int l; (l = -query(tree2, R[u], X)) <= X;) { if (R[u] < l) break; que_push(A[l], 3 - res[u]); } for (int i = 0; i < inside[u].size(); i++) { cand.push(inside[u][i]); } } } for (int cur = 1; cur <= 2; cur++) { memset(used, 0, sizeof used); while (!stk.empty()) stk.pop(); for (int i = 1; i <= X; i++) if (res[A[i]] == cur) { if (!used[A[i]]) { used[A[i]] = true; stk.push(A[i]); } else { if (stk.top() != A[i]) INVALID(); stk.pop(); } } } for (int i = 1; i <= X; i++) printf("%c", res[A[i]] == 1 ? '^' : 'v'); return 0; }
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