Submission #136425

# Submission time Handle Problem Language Result Execution time Memory
136425 2019-07-25T09:42:18 Z onjo0127 Link (CEOI06_link) C++11
100 / 100
610 ms 62216 KB
#include <bits/stdc++.h>
using namespace std;
#define sz(V) ((int)V.size())

const int _N = 500001, DBG = 0;
bool chk[_N];
int N, K, A[_N], vs[_N], dep[_N], rt[_N], rid[_N], ith[_N], p[20][_N], cs[20][_N], ans;
vector<vector<int> > R;
vector<int> S, G[_N];

void go(int x, int col) {
	S.push_back(x);
	vs[x] = col;
	if(vs[A[x]]) {
		if(vs[A[x]] == col) {
			vector<int> T;
			while(1) {
				int tmp = S.back(); S.pop_back();
				T.push_back(tmp);
				if(tmp == A[x]) break;
			}
			reverse(T.begin(), T.end());
			for(int i=0; i<T.size(); i++) rid[T[i]] = sz(R), ith[T[i]] = i+1;
			R.push_back(T);
		}
	}
	else go(A[x], col);
}

int mrk(int x, int k) {
	if(k <= 0) return x;
	chk[x] = 1;
	int d;
	if(ith[x]) {
		if(ith[x] < ith[A[x]]) d = ith[A[x]] - ith[x];
		else d = ith[A[x]] - ith[x] + sz(R[rid[x]]);
	}
	else if(ith[A[x]]) return A[x] = mrk(rt[x], k - dep[x]);
	else d = dep[x] - dep[A[x]];
	return A[x] = mrk(A[x], k - d);
}

void dfs(int RT, int x, int d) {
	// printf("dfs: x: %d, d: %d\n", x, d);
	dep[x] = d; rt[x] = RT;
	for(auto& it: G[x]) dfs(RT, it, d+1);
}

void showstat() {
	puts("Showing...");
	printf("answer: %d\n", ans);
	for(int i=1; i<=N; i++) printf("%d", chk[i]);
	puts("\n---------------------");
}

int main() {
	vector<int> Q;
	scanf("%d%d",&N,&K);
	for(int i=1; i<=N; i++) {
		int a, b; scanf("%d%d",&a,&b);
		A[a] = b;
	}
	for(int i=1; i<=N; i++) if(!vs[i]) go(i, i);
	for(int i=1; i<=N; i++) if(!ith[i]) {
		G[A[i]].push_back(i);
		Q.push_back(i);
	}
	for(int i=1; i<=N; i++) if(ith[i]) dfs(i, i, 0);
	chk[1] = 1;
	mrk(A[1], K);
	if(DBG) showstat();
	sort(Q.begin(), Q.end(), [&](int PP, int QQ) { return dep[PP] > dep[QQ]; });
	for(auto& it: Q) {
		if(chk[it]) continue;
		mrk(it, K); ++ans;
	}
	if(DBG) showstat();
	for(auto& it: R) {
		set<int> st;
		int M = sz(it);
		for(int j=0; j<M; j++) {
			p[0][j] = j; cs[0][j] = 0;
			if(!chk[it[j]]) st.insert(j);
		}
		if(st.empty()) continue;

		for(auto& jt: st) {
			if(jt <= M-K) {
				auto kt = st.lower_bound(jt + K);
				if(kt == st.end()) {
					p[0][jt] = *st.begin();
					cs[0][jt] = *st.begin() - jt + M;
				}
				else {
					p[0][jt] = *kt;
					cs[0][jt] = *kt - jt;
				}
			}
			else {
				auto kt = st.lower_bound(jt + K - M);
				if(kt == st.end()) p[0][jt] = jt, cs[0][jt] = M;
				else p[0][jt] = *kt, cs[0][jt] = *kt - jt + M;
			}
			// printf("next[%d]: %d, cost: %d\n", jt, p[0][jt], cs[0][jt]);
		}

		int L;
		for(int i=1; (1<<i)<=M; i++) {
			for(int j=0; j<M; j++) {
				p[i][j] = p[i-1][p[i-1][j]];
				cs[i][j] = cs[i-1][j] + cs[i-1][p[i-1][j]];
				cs[i][j] = min(cs[i][j], M);
			}
			L = i;
		}
		int mn = 1e9;
		for(auto& jt: st) {
			int sum = 0, now = jt, cnt = 0;
			for(int j=L; j>=0; j--) if(sum + cs[j][now] < M) {
				sum += cs[j][now], cnt += (1<<j), now = p[j][now];
				// printf("now: %d, sum: %d, cnt: %d\n", now, sum, cnt);
			}
			mn = min(mn, cnt + 1);
			// printf("jt: %d, cnt: %d\n", jt, cnt + 1);
		}
		ans += mn;
	}
	printf("%d", ans);
	return 0;
}

Compilation message

link.cpp: In function 'void go(int, int)':
link.cpp:23:18: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    for(int i=0; i<T.size(); i++) rid[T[i]] = sz(R), ith[T[i]] = i+1;
                 ~^~~~~~~~~
link.cpp: In function 'int main()':
link.cpp:58:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d%d",&N,&K);
  ~~~~~^~~~~~~~~~~~~~
link.cpp:60:18: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   int a, b; scanf("%d%d",&a,&b);
             ~~~~~^~~~~~~~~~~~~~
link.cpp:120:43: warning: 'L' may be used uninitialized in this function [-Wmaybe-uninitialized]
     sum += cs[j][now], cnt += (1<<j), now = p[j][now];
                                       ~~~~^~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 12 ms 12152 KB Output is correct
2 Correct 12 ms 12152 KB Output is correct
3 Correct 13 ms 12280 KB Output is correct
4 Correct 14 ms 12408 KB Output is correct
5 Correct 15 ms 12536 KB Output is correct
6 Correct 31 ms 14972 KB Output is correct
7 Correct 43 ms 15860 KB Output is correct
8 Correct 58 ms 18372 KB Output is correct
9 Correct 90 ms 24980 KB Output is correct
10 Correct 90 ms 23696 KB Output is correct
11 Correct 167 ms 53424 KB Output is correct
12 Correct 209 ms 23924 KB Output is correct
13 Correct 228 ms 37820 KB Output is correct
14 Correct 290 ms 42292 KB Output is correct
15 Correct 348 ms 49324 KB Output is correct
16 Correct 399 ms 61100 KB Output is correct
17 Correct 453 ms 53800 KB Output is correct
18 Correct 520 ms 52160 KB Output is correct
19 Correct 512 ms 53012 KB Output is correct
20 Correct 479 ms 51032 KB Output is correct
21 Correct 537 ms 57600 KB Output is correct
22 Correct 610 ms 59396 KB Output is correct
23 Correct 561 ms 62216 KB Output is correct
24 Correct 523 ms 59188 KB Output is correct
25 Correct 507 ms 58476 KB Output is correct