Submission #66193

# Submission time Handle Problem Language Result Execution time Memory
66193 2018-08-10T03:37:55 Z kingpig9 Collapse (JOI18_collapse) C++11
35 / 100
418 ms 99064 KB
#include <bits/stdc++.h>
#include "collapse.h"

using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

//#define debug(...) fprintf(stderr, __VA_ARGS__)
#define debug(...)
#define fi first
#define se second
#define all(v) (v).begin(), (v).end()
#define fillchar(a, s) memset((a), (s), sizeof(a))

int N, C, Q;

namespace subtask1 {
	const int MAXN = 5010;

	struct union_find {
		int par[100320];  //don't forget to init
		int ncomp;

		int find (int x) {
			return x == par[x] ? x : par[x] = find(par[x]);
		}

		bool merge (int x, int y) {
			x = find(x);
			y = find(y);
			if (x == y) {
				return false;
			}
			par[x] = y;
			ncomp--;
			return true;
		}

		void reset (int sz) {
			for (int i = 0; i < sz; i++) {
				par[i] = i;
			}
			ncomp = sz;
		}
	};

	map<pii, int> mpind;
	bitset<MAXN> active[MAXN];
	union_find uf;

	vector<int> go (vector<int> T, vector<int> X, vector<int> Y, vector<int> W, vector<int> P) {
		for (int i = 0; i < C; i++) {
			if (i) {
				active[i] = active[i - 1];
			}

			int indxy;
			if (mpind.count(pii(X[i], Y[i]))) {
				indxy = mpind[pii(X[i], Y[i])];
			} else {
				indxy = mpind[pii(X[i], Y[i])] = i;
			}

			if (T[i] == 0) {
				active[i][indxy] = true;
			} else {
				active[i][indxy] = false;
			}
		}

		vector<int> ans;
		for (int i = 0; i < Q; i++) {
			uf.reset(N);
			//day W[i]
			for (int j = 0; j < C; j++) {
				if (active[W[i]][j]) {
					if (!(X[j] <= P[i] && P[i] + 1 <= Y[j])) {
						uf.merge(X[j], Y[j]);
						debug("avail %d %d\n", X[j], Y[j]);
					}
				}
			}

			debug("warm\n");
			ans.push_back(uf.ncomp);
		}

		return ans;
	}
}

//should have gotten this...too bad not enough time.
namespace subtask2 {
	const int MAXN = 1 << 17;

	struct union_find {
		int par[MAXN], sz[MAXN];    //don't forget to init
		int ncmp;
		pair<int*, int> stk[MAXN * 34];
		int stksz;

		void init (int n) {
			ncmp = n;
			for (int i = 0; i < n; i++) {
				par[i] = i;
				sz[i] = 1;
			}
			stksz = 0;
		}

		int find (int x) {
			return x == par[x] ? x : find(par[x]);
		}

		void change (int &x, int y) {
			stk[stksz++] = make_pair(&x, x);
			x = y;
		}

		void merge (int x, int y) {
			x = find(x);
			y = find(y);
			if (x == y) {
				return;
			}
			if (sz[x] > sz[y]) {
				swap(x, y);
			}
			change(sz[y], sz[y] + sz[x]);
			change(par[x], y);
			change(ncmp, ncmp - 1);
		}

		void rollback (int s) {
			while (stksz > s) {
				auto p = stk[--stksz];
				*(p.fi) = p.se;
			}
		}
	};

	union_find uf;
	int seglt[2 * MAXN], segrt[2 * MAXN];
	vector<pii> tree[2 * MAXN];

	void update (int a, int b, pii v, int cur = 1) {
		int lt = seglt[cur], rt = segrt[cur];
		if (rt <= a || b <= lt) {
			return;
		}

		if (a <= lt && rt <= b) {
			tree[cur].push_back(v);
			return;
		}

		update(a, b, v, 2 * cur);
		update(a, b, v, 2 * cur + 1);
	}

	int P;
	int ncompt[MAXN];	//number of components at this time

	void calcseg (int cur = 1, int lt = 0, int rt = MAXN) {
		seglt[cur] = lt;
		segrt[cur] = rt;
		int mid = (lt + rt) >> 1;
		if (rt - lt > 1) {
			calcseg((cur << 1), lt, mid);
			calcseg((cur << 1) | 1, mid, rt);
		}
	}

	void dfs (int cur = 1) {
		int lt = seglt[cur], rt = segrt[cur];
		if (lt >= C) {
			return;
		}

		int state = uf.stksz;

		//add edges
		for (pii e : tree[cur]) {
			uf.merge(e.fi, e.se);
		}

		if (rt - lt == 1) {
			ncompt[lt] = uf.ncmp;
		} else {
			dfs(cur << 1);
			dfs((cur << 1) | 1);
		}

		uf.rollback(state);
	}

	vector<int> go (vector<int> T, vector<int> X, vector<int> Y, vector<int> W, int ppppp) {
		uf.init(N);
		P = ppppp;
		map<pii, int> mp;
		calcseg();

		for (int i = 0; i < C; i++) {
			pii e(X[i], Y[i]);
			if (X[i] <= P && P + 1 <= Y[i]) {
				continue;
			}
			if (mp.count(e)) {
				update(mp.at(e), i, e);
				mp.erase(e);
			} else {
				mp[e] = i;
			}
		}
		debug("here\n");

		for (auto it : mp) {
			update(it.se, C, it.fi);
		}

		//ok let's go!
		dfs();

		vector<int> ans;
		for (int day : W) {
			ans.push_back(ncompt[day]);
		}
		return ans;
	}
}

namespace subtask3 {
	const int MAXN = 1e5 + 320;
	const int SQRT = 320;
	//6s, 512MB

	struct union_find {
		int par[MAXN];
		vector<pair<int*, int>> chng;
		bool active;
		int ncomp;

		void reset() {
			for (int i = 0; i < N; i++) {
				par[i] = i;
			}
			ncomp = N;
			chng.clear();
			active = false;
		}

		void change (int &x, int y) {
			if (active) {
				chng.push_back(make_pair(&x, x));
			}
			x = y;
		}

		int find (int x) {
			if (x == par[x]) {
				return x;
			}
			change(par[x], find(par[x]));
			return par[x];
		}

		void merge (int x, int y) {
			x = find(x);
			y = find(y);
			if (x == y) {
				return;
			}
			change(par[x], y);
			change(ncomp, ncomp - 1);
		}

		void rollback() {
			for (auto p : chng) {
				*(p.fi) = p.se;
			}
			chng.clear();
		}
	};

	vector<pii> queries[MAXN];	//queries[day] = vector(position, id)
	int ans[MAXN];
	union_find uf;
	pii estl[MAXN], estr[MAXN], tmp[MAXN];

	bool cmpr (pii p1, pii p2) {
		return p1.se < p2.se;
	}

	bool cmpl (pii p1, pii p2) {
		return p1.fi > p2.fi;
	}

	vector<int> go (vector<int> X, vector<int> Y, vector<int> W, vector<int> P) {
		//X, Y = roads constructed
		//w, P = questions.
		for (int i = 0; i < Q; i++) {
			queries[W[i]].push_back({P[i], i});
		}

		for (int sday = 0; sday < C; sday += SQRT) {
			int eday = min(sday + SQRT, C);
			//what is the stuff before sday? certainly need to add this in.
			vector<array<int, 3>> vqu;
			for (int i = sday; i < eday; i++) {
				for (pii p : queries[i]) {
					vqu.push_back({p.fi, i, p.se});
				}
			}

			//ok let's now go to this now.

			int posr = 0;	//position of estr
			//prefix
			debug("-------start prefix----------\n");
			
			sort(all(vqu));
			uf.reset();
			for (auto q : vqu) {
				int pos = q[0];
				for (; posr < sday && estr[posr].se <= q[0]; posr++) {
					uf.merge(estr[posr].fi, estr[posr].se);
					debug("merge %d %d\n", estr[posr].fi, estr[posr].se);
				}

				//need this
				for (int i = sday; i < eday; i++) {
					uf.find(X[i]);
					uf.find(Y[i]);
				}

				uf.active = true;
				debug("--active--\n");
				//then merge the rest of them!
				for (int i = sday; i <= q[1]; i++) {
					//is this a valid merge?
					if (Y[i] <= pos) {
						uf.merge(X[i], Y[i]);
						debug("merge %d %d\n", X[i], Y[i]);
					}
				}

				ans[q[2]] += uf.ncomp;
				debug("answer[%d] += %d\n", q[2], uf.ncomp);
				uf.rollback();
				uf.active = false;
				debug("--inactive--\n");
			}

			debug("-------start suffix----------\n");
			//suffix

			uf.reset();
			reverse(all(vqu));

			int posl = 0;
			for (auto q : vqu) {
				int pos = q[0];
				//note: strictly greater than q[0]
				for (; posl < sday && estl[posl].fi > q[0]; posl++) {
					uf.merge(estl[posl].fi, estl[posl].se);
					debug("merge %d %d\n", estl[posl].fi, estl[posl].se);
				}
				//need this
				for (int i = sday; i < eday; i++) {
					uf.find(X[i]);
					uf.find(Y[i]);
				}

				debug("--active--\n");
				uf.active = true;
				for (int i = sday; i <= q[1]; i++) {
					if (X[i] > pos) {
						uf.merge(X[i], Y[i]);
						debug("merge %d %d\n", X[i], Y[i]);
					}
				}

				ans[q[2]] += uf.ncomp - N;
				debug("answer[%d] += %d; answer[%d] -= N\n", q[2], uf.ncomp, q[2]);
				uf.rollback();
				debug("--inactive--\n");
				uf.active = false;
			}


			//then add the new edges
			vector<pii> nedge;
			for (int i = sday; i < eday; i++) {
				nedge.push_back({X[i], Y[i]});
			}
			sort(all(nedge), cmpl);
			copy(tmp, merge(estl, estl + sday, all(nedge), tmp, cmpl), estl);
			sort(all(nedge), cmpr);
			copy(tmp, merge(estr, estr + sday, all(nedge), tmp, cmpr), estr);
		}
		return vector<int> (ans, ans + Q);
	}
}

vector<int> simulateCollapse (int n, vector<int> T, vector<int> X, vector<int> Y, vector<int> W, vector<int> P) {
	N = n;
	C = X.size();
	Q = W.size();

	for (int i = 0; i < C; i++) {
		if (X[i] > Y[i]) {
			swap(X[i], Y[i]);
		}
	}

	if (N <= 5000 && Q <= 5000) {
		return subtask1::go(T, X, Y, W, P);
	} else if ((set<int> (all(P))).size() == 1) {
		return subtask2::go(T, X, Y, W, P[0]);
	} else if (count(all(T), 0) == T.size()) {
		return subtask3::go(X, Y, W, P);
	}
}

Compilation message

collapse.cpp: In function 'std::vector<int> simulateCollapse(int, std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>)':
collapse.cpp:421:30: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  } else if (count(all(T), 0) == T.size()) {
             ~~~~~~~~~~~~~~~~~^~~~~~~~~~~
collapse.cpp:424:1: warning: control reaches end of non-void function [-Wreturn-type]
 }
 ^
# Verdict Execution time Memory Grader output
1 Correct 133 ms 82040 KB Output is correct
2 Correct 70 ms 82040 KB Output is correct
3 Correct 67 ms 82040 KB Output is correct
4 Correct 69 ms 82040 KB Output is correct
5 Correct 192 ms 82360 KB Output is correct
6 Correct 269 ms 82716 KB Output is correct
7 Correct 87 ms 82716 KB Output is correct
8 Correct 86 ms 82716 KB Output is correct
9 Correct 150 ms 82716 KB Output is correct
10 Correct 241 ms 82716 KB Output is correct
11 Correct 359 ms 82732 KB Output is correct
12 Correct 418 ms 82820 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 105 ms 83624 KB Output is correct
2 Correct 97 ms 83624 KB Output is correct
3 Correct 185 ms 90028 KB Output is correct
4 Correct 93 ms 90028 KB Output is correct
5 Correct 202 ms 90792 KB Output is correct
6 Correct 113 ms 90792 KB Output is correct
7 Correct 309 ms 98960 KB Output is correct
8 Correct 192 ms 98960 KB Output is correct
9 Correct 134 ms 98960 KB Output is correct
10 Correct 98 ms 98960 KB Output is correct
11 Correct 96 ms 98960 KB Output is correct
12 Correct 218 ms 98960 KB Output is correct
13 Correct 261 ms 98960 KB Output is correct
14 Correct 319 ms 99064 KB Output is correct
15 Correct 300 ms 99064 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 102 ms 99064 KB Output is correct
2 Incorrect 122 ms 99064 KB Output isn't correct
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 133 ms 82040 KB Output is correct
2 Correct 70 ms 82040 KB Output is correct
3 Correct 67 ms 82040 KB Output is correct
4 Correct 69 ms 82040 KB Output is correct
5 Correct 192 ms 82360 KB Output is correct
6 Correct 269 ms 82716 KB Output is correct
7 Correct 87 ms 82716 KB Output is correct
8 Correct 86 ms 82716 KB Output is correct
9 Correct 150 ms 82716 KB Output is correct
10 Correct 241 ms 82716 KB Output is correct
11 Correct 359 ms 82732 KB Output is correct
12 Correct 418 ms 82820 KB Output is correct
13 Correct 105 ms 83624 KB Output is correct
14 Correct 97 ms 83624 KB Output is correct
15 Correct 185 ms 90028 KB Output is correct
16 Correct 93 ms 90028 KB Output is correct
17 Correct 202 ms 90792 KB Output is correct
18 Correct 113 ms 90792 KB Output is correct
19 Correct 309 ms 98960 KB Output is correct
20 Correct 192 ms 98960 KB Output is correct
21 Correct 134 ms 98960 KB Output is correct
22 Correct 98 ms 98960 KB Output is correct
23 Correct 96 ms 98960 KB Output is correct
24 Correct 218 ms 98960 KB Output is correct
25 Correct 261 ms 98960 KB Output is correct
26 Correct 319 ms 99064 KB Output is correct
27 Correct 300 ms 99064 KB Output is correct
28 Correct 102 ms 99064 KB Output is correct
29 Incorrect 122 ms 99064 KB Output isn't correct
30 Halted 0 ms 0 KB -