Submission #1038702

# Submission time Handle Problem Language Result Execution time Memory
1038702 2024-07-30T06:32:55 Z 정민찬(#10987) JOI tour (JOI24_joitour) C++17
100 / 100
2331 ms 122584 KB
#include "joitour.h"
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> pll;

const ll B = 400;

struct Fenwick {
    vector<ll> tree;
    void init(ll n) {
        tree.resize(n+1);
    }
    void update(ll i, ll v, ll n) {
        while (i <= n) {
            tree[i] += v;
            i += i & -i;
        }
    }
    ll qry(ll i) {
        ll ret = 0;
        while (i) {	
            ret += tree[i];
            i -= i & -i;
        }
        return ret;
    }
    ll qry(ll l, ll r) {
        return qry(r) - qry(l-1);
    }
};

struct LazySegmentTree{
	vector<ll> tree;
	vector<ll> tree2;
	vector<ll> cnt;
	vector<ll> lazy;
	void init(ll n) {
		ll sz = 1 << __lg(n-1) + 2;
		tree.assign(sz, 0);
		tree2.assign(sz, 0);
		cnt.assign(sz, 0);
		lazy.assign(sz, 0);
	}
	void propagate(ll node, ll s, ll e) {
		tree[node] += lazy[node] * cnt[node];
		tree2[node] += lazy[node] * (e-s+1);
		if (s != e) {
			lazy[node*2] += lazy[node];
			lazy[node*2+1] += lazy[node];
		}
		lazy[node] = 0;
	}
	void update(ll node, ll s, ll e, ll l, ll r, ll v) {
		propagate(node, s, e);
		if (l > e || s > r) return;
		if (l <= s && e <= r) {
			lazy[node] = v;
			propagate(node, s, e);
			return;
		}
		ll mid = s + e >> 1;
		update(node*2, s, mid, l, r, v);
		update(node*2+1, mid+1, e, l, r, v);
		tree[node] = tree[node*2] + tree[node*2+1];
		cnt[node] = cnt[node*2] + cnt[node*2+1];
	}
	void modify(ll node, ll s, ll e, ll tar, ll state) {
		propagate(node, s, e);
		if (s > tar || tar > e) return;
		if (s == e) {
			cnt[node] = state;
			if (state == 1) tree[node] = tree2[node];
			else tree[node] = 0;
			return;
		}
		ll mid = s + e >> 1;
		modify(node*2, s, mid, tar, state);
		modify(node*2+1, mid+1, e, tar, state);
		tree[node] = tree[node*2] + tree[node*2+1];
		cnt[node] = cnt[node*2] + cnt[node*2+1];
	}
	ll query(ll node, ll s, ll e, ll l, ll r) {
		propagate(node, s, e);
		if (l > e || s > r) return 0;
		if (l <= s && e <= r) return tree[node];
		ll mid = s + e >> 1;
		return query(node*2, s, mid, l, r) + query(node*2+1, mid+1, e, l, r);
	}
};

ll n;
vector<ll> adj[200010];
vector<ll> g[200010];
ll T[3];
ll in[200010], out[200010];
ll pv;
ll sz[200010], par[200010];
ll dep[200010];

void dfs(ll x, ll p) {
    sz[x] = 1;
    for (auto &y : adj[x]) {
        if (y == p) continue;
        g[x].push_back(y);
        dep[y] = dep[x] + 1;
        par[y] = x;
        dfs(y, x);
        sz[x] += sz[y];
        if (sz[g[x][0]] < sz[y]) {
            swap(g[x][0], g[x].back());
        }
    }
}

ll tp[200010];

void dfs2(ll x) {
    in[x] = ++ pv;
    for (auto &y : g[x]) {
        tp[y] = y == g[x][0] ? tp[x] : y;
        dfs2(y);
    }
    out[x] = pv;
}

Fenwick seg0, seg1, seg2;
LazySegmentTree sub0, sub2;
LazySegmentTree psub0, psub2;
//LazySegmentTree sub20, sub02;

ll ans = 0;
ll F[200010];
ll TS[3];
vector<ll> lot;
ll sum[200010];

void init(int _N, vector<int> _F, vector<int> U, vector<int> V, int Q) {
	n = _N;
	for (ll i=1; i<=n; i++) {
		F[i] = _F[i-1];
	}
	for (ll i=1; i<=n; i++) {
        T[F[i]] ++;
    }
	for (ll i=0; i<n-1; i++) {
		adj[U[i]+1].push_back(V[i] + 1);
		adj[V[i]+1].push_back(U[i] + 1);
	}
	dep[1] = 1;
	dfs(1, 0);
	tp[1] = 1;
	dfs2(1);
	seg0.init(n); seg1.init(n); seg2.init(n);
	sub0.init(n); sub2.init(n);
	psub0.init(n); psub2.init(n);
	//sub02.init(n); sub20.init(n);
	for (ll i=1; i<=n; i++) {
        if (F[i] == 0) {
            seg0.update(in[i], 1, n);
        }
        else if (F[i] == 2) {
            seg2.update(in[i], 1, n);
        }
        else {
        	seg1.update(in[i], 1, n);
        }
    }
    for (ll i=1; i<=n; i++) {
    	ll ret0 = seg0.qry(in[i], out[i]);
        ll ret2 = seg2.qry(in[i], out[i]);
        if (F[i] == 1) {
        	sub0.modify(1, 1, n, in[i], 1);
        	sub2.modify(1, 1, n, in[i], 1);
        	ans += (T[0] - ret0) * (T[2] - ret2);
        	TS[0] += ret0;
        	TS[2] += ret2;
        }
        if (i != 1 && F[par[i]] == 1) {
        	psub0.modify(1, 1, n, in[i], 1);
        	psub2.modify(1, 1, n, in[i], 1);
        	ans += ret0 * ret2;
        }
        sub0.update(1, 1, n, in[i], in[i], ret0);
        sub2.update(1, 1, n, in[i], in[i], ret2);
        //sub02.update(1, 1, n, in[i], in[i], ret2);
        //sub20.update(1, 1, n, in[i], in[i], ret0);
        psub0.update(1, 1, n, in[i], in[i], ret0);
        psub2.update(1, 1, n, in[i], in[i], ret2);
    }
    for (ll i=1; i<=n; i++) {
    	if (g[i].size() > B) {
    		for (auto &j : g[i]) {
    			sum[i] += seg0.qry(in[j], out[j]) * seg2.qry(in[j], out[j]);
    		}
    		lot.push_back(i);
    	}
    }
}

ll Qquery1(ll x, ll t) {
	ll ret = 0;
	while (x) {
		if (t == 0)
			ret += sub0.query(1, 1, n, in[tp[x]], in[x]);
		else
			ret += sub2.query(1, 1, n, in[tp[x]], in[x]);
		x = par[tp[x]];
	}
	return ret;
}

ll Qquery2(ll x, ll t) {
	ll ret = 0;
	while (x) {
		if (tp[x] != 1 && F[par[tp[x]]] == 1) {
			if (t == 0)
				psub0.modify(1, 1, n, in[tp[x]], 1);
			else
				psub2.modify(1, 1, n, in[tp[x]], 1);
		}
		else {
			if (t == 0)
				psub0.modify(1, 1, n, in[tp[x]], 0);
			else
				psub2.modify(1, 1, n, in[tp[x]], 0);
		}
		if (t == 0)
			ret += psub0.query(1, 1, n, in[tp[x]], in[x]);
		else
			ret += psub2.query(1, 1, n, in[tp[x]], in[x]);
		x = par[tp[x]];
	}
	return ret;
}

ll Qquery3(ll x) {
	ll ret = 0;
	while (x) {
		ret += seg1.qry(in[tp[x]], in[x]);
		x = par[tp[x]];
	}
	return ret;
}

void Uupdate0(ll x, ll v) {
	while (x) {
		sub0.update(1, 1, n, in[tp[x]], in[x], v);
		psub0.update(1, 1, n, in[tp[x]], in[x], v);
		x = par[tp[x]];
	}
}

void Uupdate2(ll x, ll v) {
	while (x) {
		sub2.update(1, 1, n, in[tp[x]], in[x], v);
		psub2.update(1, 1, n, in[tp[x]], in[x], v);
		x = par[tp[x]];
	}
}

void change(int X, int v) {
	X ++;
	if (F[X] == 1) {
		if (g[X].size() > B) ans -= sum[X];
		else {
			for (auto &y : g[X]) {
				ans -= seg0.qry(in[y], out[y]) * seg2.qry(in[y], out[y]);
			}
		}
		ans -= (T[0] - seg0.qry(in[X], out[X])) * (T[2] - seg2.qry(in[X], out[X]));
		if (!g[X].empty()) {
			psub0.modify(1, 1, n, in[g[X][0]], 0);
			psub2.modify(1, 1, n, in[g[X][0]], 0);
		}
		sub0.modify(1, 1, n, in[X], 0);
		sub2.modify(1, 1, n, in[X], 0);
		T[1] --;
		seg1.update(in[X], -1, n);
		TS[0] -= seg0.qry(in[X], out[X]);
		TS[2] -= seg2.qry(in[X], out[X]);
	}
	else if (F[X] == 2) {
		Uupdate2(X, -1);
		TS[2] -= Qquery3(X);
		T[2] --;
		ans += TS[0] - Qquery1(X, 0);
		ans -= T[0] * (T[1] - Qquery3(X));
		ans -= Qquery2(X, 0);
		for (auto &y : lot) {
			if (y != X && in[y] <= in[X] && in[X] <= out[y]) {
				ll idx = upper_bound(g[y].begin(), g[y].end(), X, [&] (ll uu, ll vv) {
					return in[uu] < in[vv];
				}) - g[y].begin() - 1;
				ll ch = g[y][idx];
				sum[y] -= seg0.qry(in[ch], out[ch]);
			}
		}
		seg2.update(in[X], -1, n);
	}
	else if (F[X] == 0) {
		Uupdate0(X, -1);
		TS[0] -= Qquery3(X);
		T[0] --;
		ans += TS[2] - Qquery1(X, 2);
		ans -= T[2] * (T[1] - Qquery3(X));
		ans -= Qquery2(X, 2);
		for (auto &y : lot) {
			if (y != X && in[y] <= in[X] && in[X] <= out[y]) {
				ll idx = upper_bound(g[y].begin(), g[y].end(), X, [&] (ll uu, ll vv) {
					return in[uu] < in[vv];
				}) - g[y].begin() - 1;
				ll ch = g[y][idx];
				sum[y] -= seg2.qry(in[ch], out[ch]);
			}
		}
		seg0.update(in[X], -1, n);
	}

	F[X] = v;

	if (F[X] == 1) {
		if (g[X].size() > B) ans += sum[X];
		else {
			for (auto &y : g[X]) {
				ans += seg0.qry(in[y], out[y]) * seg2.qry(in[y], out[y]);
			}
		}
		ans += (T[0] - seg0.qry(in[X], out[X])) * (T[2] - seg2.qry(in[X], out[X]));
		if (!g[X].empty()) {
			psub0.modify(1, 1, n, in[g[X][0]], 1);
			psub2.modify(1, 1, n, in[g[X][0]], 1);
		}
		sub0.modify(1, 1, n, in[X], 1);
		sub2.modify(1, 1, n, in[X], 1);
		T[1] ++;
		seg1.update(in[X], 1, n);
		TS[0] += seg0.qry(in[X], out[X]);
		TS[2] += seg2.qry(in[X], out[X]);
	}
	else if (F[X] == 2) {
		Uupdate2(X, 1);
		TS[2] += Qquery3(X);
		T[2] ++;
		ans -= TS[0] - Qquery1(X, 0);
		ans += T[0] * (T[1] - Qquery3(X));
		ans += Qquery2(X, 0);
		for (auto &y : lot) {
			if (y != X && in[y] <= in[X] && in[X] <= out[y]) {
				ll idx = upper_bound(g[y].begin(), g[y].end(), X, [&] (ll uu, ll vv) {
					return in[uu] < in[vv];
				}) - g[y].begin() - 1;
				ll ch = g[y][idx];
				sum[y] += seg0.qry(in[ch], out[ch]);
			}
		}
		seg2.update(in[X], 1, n);
	}
	else if (F[X] == 0) {
		Uupdate0(X, 1);
		TS[0] += Qquery3(X);
		T[0] ++;
		ans -= TS[2] - Qquery1(X, 2);
		ans += T[2] * (T[1] - Qquery3(X));
		ans += Qquery2(X, 2);
		for (auto &y : lot) {
			if (y != X && in[y] <= in[X] && in[X] <= out[y]) {
				ll idx = upper_bound(g[y].begin(), g[y].end(), X, [&] (ll uu, ll vv) {
					return in[uu] < in[vv];
				}) - g[y].begin() - 1;
				ll ch = g[y][idx];
				sum[y] += seg2.qry(in[ch], out[ch]);
			}
		}
		seg0.update(in[X], 1, n);
	}
}

long long num_tours() {
	return T[0] * T[1] * T[2] - ans;
}
/*
int main() {
  int N;
  assert(scanf("%d", &N) == 1);

  std::vector<int> _F(N);
  for (int i = 0; i < N; i++) {
    assert(scanf("%d", &_F[i]) == 1);
  }

  std::vector<int> U(N - 1), V(N - 1);
  for (int j = 0; j < N - 1; j++) {
    assert(scanf("%d %d", &U[j], &V[j]) == 2);
  }

  int Q;
  assert(scanf("%d", &Q) == 1);

  init(N, _F, U, V, Q);
  printf("%lld\n", num_tours());
  fflush(stdout);

  for (int k = 0; k < Q; k++) {
    int X, Y;
    assert(scanf("%d %d", &X, &Y) == 2);

    change(X, Y);
    printf("%lld\n", num_tours());
    fflush(stdout);
  }
}
*/

Compilation message

joitour.cpp: In member function 'void LazySegmentTree::init(ll)':
joitour.cpp:41:26: warning: suggest parentheses around '+' inside '<<' [-Wparentheses]
   41 |   ll sz = 1 << __lg(n-1) + 2;
      |                ~~~~~~~~~~^~~
joitour.cpp: In member function 'void LazySegmentTree::update(ll, ll, ll, ll, ll, ll)':
joitour.cpp:64:14: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   64 |   ll mid = s + e >> 1;
      |            ~~^~~
joitour.cpp: In member function 'void LazySegmentTree::modify(ll, ll, ll, ll, ll)':
joitour.cpp:79:14: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   79 |   ll mid = s + e >> 1;
      |            ~~^~~
joitour.cpp: In member function 'll LazySegmentTree::query(ll, ll, ll, ll, ll)':
joitour.cpp:89:14: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   89 |   ll mid = s + e >> 1;
      |            ~~^~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 15960 KB Output is correct
2 Correct 2 ms 15960 KB Output is correct
3 Correct 2 ms 15960 KB Output is correct
4 Correct 3 ms 16216 KB Output is correct
5 Correct 3 ms 15960 KB Output is correct
6 Correct 3 ms 15960 KB Output is correct
7 Correct 3 ms 15960 KB Output is correct
8 Correct 3 ms 15960 KB Output is correct
9 Correct 4 ms 16216 KB Output is correct
10 Correct 3 ms 16216 KB Output is correct
11 Correct 2 ms 15960 KB Output is correct
12 Correct 2 ms 15960 KB Output is correct
13 Correct 2 ms 15960 KB Output is correct
14 Correct 2 ms 15960 KB Output is correct
15 Correct 4 ms 15960 KB Output is correct
16 Correct 4 ms 16020 KB Output is correct
17 Correct 3 ms 15960 KB Output is correct
18 Correct 3 ms 15960 KB Output is correct
19 Correct 4 ms 16268 KB Output is correct
20 Correct 4 ms 11864 KB Output is correct
21 Correct 3 ms 11864 KB Output is correct
22 Correct 3 ms 11864 KB Output is correct
23 Correct 3 ms 11864 KB Output is correct
24 Correct 4 ms 12120 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 15960 KB Output is correct
2 Correct 2 ms 15960 KB Output is correct
3 Correct 2 ms 15960 KB Output is correct
4 Correct 3 ms 16216 KB Output is correct
5 Correct 3 ms 15960 KB Output is correct
6 Correct 3 ms 15960 KB Output is correct
7 Correct 3 ms 15960 KB Output is correct
8 Correct 3 ms 15960 KB Output is correct
9 Correct 4 ms 16216 KB Output is correct
10 Correct 3 ms 16216 KB Output is correct
11 Correct 2 ms 15960 KB Output is correct
12 Correct 2 ms 15960 KB Output is correct
13 Correct 2 ms 15960 KB Output is correct
14 Correct 2 ms 15960 KB Output is correct
15 Correct 4 ms 15960 KB Output is correct
16 Correct 4 ms 16020 KB Output is correct
17 Correct 3 ms 15960 KB Output is correct
18 Correct 3 ms 15960 KB Output is correct
19 Correct 4 ms 16268 KB Output is correct
20 Correct 4 ms 11864 KB Output is correct
21 Correct 3 ms 11864 KB Output is correct
22 Correct 3 ms 11864 KB Output is correct
23 Correct 3 ms 11864 KB Output is correct
24 Correct 4 ms 12120 KB Output is correct
25 Correct 15 ms 13912 KB Output is correct
26 Correct 18 ms 13400 KB Output is correct
27 Correct 18 ms 13400 KB Output is correct
28 Correct 24 ms 13656 KB Output is correct
29 Correct 23 ms 13400 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 15960 KB Output is correct
2 Correct 739 ms 117196 KB Output is correct
3 Correct 907 ms 115408 KB Output is correct
4 Correct 685 ms 113320 KB Output is correct
5 Correct 820 ms 116136 KB Output is correct
6 Correct 482 ms 107020 KB Output is correct
7 Correct 483 ms 106836 KB Output is correct
8 Correct 740 ms 106576 KB Output is correct
9 Correct 724 ms 106864 KB Output is correct
10 Correct 711 ms 106996 KB Output is correct
11 Correct 663 ms 107336 KB Output is correct
12 Correct 672 ms 110644 KB Output is correct
13 Correct 769 ms 110548 KB Output is correct
14 Correct 584 ms 110500 KB Output is correct
15 Correct 765 ms 109904 KB Output is correct
16 Correct 703 ms 118432 KB Output is correct
17 Correct 2 ms 11864 KB Output is correct
18 Correct 3 ms 11864 KB Output is correct
19 Correct 2 ms 11864 KB Output is correct
20 Correct 2 ms 11864 KB Output is correct
21 Correct 663 ms 107216 KB Output is correct
22 Correct 699 ms 107436 KB Output is correct
23 Correct 558 ms 107344 KB Output is correct
24 Correct 698 ms 107412 KB Output is correct
25 Correct 562 ms 105448 KB Output is correct
26 Correct 575 ms 105276 KB Output is correct
27 Correct 519 ms 105376 KB Output is correct
28 Correct 722 ms 105276 KB Output is correct
29 Correct 409 ms 120964 KB Output is correct
30 Correct 415 ms 120800 KB Output is correct
31 Correct 320 ms 120900 KB Output is correct
32 Correct 420 ms 120956 KB Output is correct
33 Correct 427 ms 106700 KB Output is correct
34 Correct 449 ms 106660 KB Output is correct
35 Correct 369 ms 106720 KB Output is correct
36 Correct 500 ms 106648 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 13912 KB Output is correct
2 Correct 2 ms 15960 KB Output is correct
3 Correct 3 ms 15960 KB Output is correct
4 Correct 3 ms 15960 KB Output is correct
5 Correct 3 ms 16008 KB Output is correct
6 Correct 3 ms 15960 KB Output is correct
7 Correct 4 ms 16216 KB Output is correct
8 Correct 17 ms 17868 KB Output is correct
9 Correct 382 ms 122164 KB Output is correct
10 Correct 411 ms 122192 KB Output is correct
11 Correct 351 ms 122312 KB Output is correct
12 Correct 443 ms 122364 KB Output is correct
13 Correct 448 ms 69256 KB Output is correct
14 Correct 458 ms 69188 KB Output is correct
15 Correct 442 ms 69260 KB Output is correct
16 Correct 512 ms 69200 KB Output is correct
17 Correct 451 ms 69168 KB Output is correct
18 Correct 472 ms 69200 KB Output is correct
19 Correct 922 ms 122256 KB Output is correct
20 Correct 969 ms 122448 KB Output is correct
21 Correct 965 ms 122144 KB Output is correct
22 Correct 1031 ms 122524 KB Output is correct
23 Correct 892 ms 122172 KB Output is correct
24 Correct 975 ms 122584 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 15960 KB Output is correct
2 Correct 3 ms 15960 KB Output is correct
3 Correct 3 ms 15960 KB Output is correct
4 Correct 3 ms 15960 KB Output is correct
5 Correct 3 ms 16024 KB Output is correct
6 Correct 4 ms 16216 KB Output is correct
7 Correct 19 ms 17496 KB Output is correct
8 Correct 434 ms 108204 KB Output is correct
9 Correct 445 ms 108112 KB Output is correct
10 Correct 400 ms 108280 KB Output is correct
11 Correct 455 ms 108368 KB Output is correct
12 Correct 640 ms 62032 KB Output is correct
13 Correct 904 ms 62040 KB Output is correct
14 Correct 910 ms 62216 KB Output is correct
15 Correct 845 ms 62220 KB Output is correct
16 Correct 1035 ms 62036 KB Output is correct
17 Correct 871 ms 62288 KB Output is correct
18 Correct 1388 ms 108112 KB Output is correct
19 Correct 2048 ms 108112 KB Output is correct
20 Correct 1956 ms 108112 KB Output is correct
21 Correct 1830 ms 108256 KB Output is correct
22 Correct 2331 ms 108288 KB Output is correct
23 Correct 1916 ms 108112 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 15960 KB Output is correct
2 Correct 2 ms 15960 KB Output is correct
3 Correct 2 ms 15960 KB Output is correct
4 Correct 3 ms 16216 KB Output is correct
5 Correct 3 ms 15960 KB Output is correct
6 Correct 3 ms 15960 KB Output is correct
7 Correct 3 ms 15960 KB Output is correct
8 Correct 3 ms 15960 KB Output is correct
9 Correct 4 ms 16216 KB Output is correct
10 Correct 3 ms 16216 KB Output is correct
11 Correct 2 ms 15960 KB Output is correct
12 Correct 2 ms 15960 KB Output is correct
13 Correct 2 ms 15960 KB Output is correct
14 Correct 2 ms 15960 KB Output is correct
15 Correct 4 ms 15960 KB Output is correct
16 Correct 4 ms 16020 KB Output is correct
17 Correct 3 ms 15960 KB Output is correct
18 Correct 3 ms 15960 KB Output is correct
19 Correct 4 ms 16268 KB Output is correct
20 Correct 4 ms 11864 KB Output is correct
21 Correct 3 ms 11864 KB Output is correct
22 Correct 3 ms 11864 KB Output is correct
23 Correct 3 ms 11864 KB Output is correct
24 Correct 4 ms 12120 KB Output is correct
25 Correct 15 ms 13912 KB Output is correct
26 Correct 18 ms 13400 KB Output is correct
27 Correct 18 ms 13400 KB Output is correct
28 Correct 24 ms 13656 KB Output is correct
29 Correct 23 ms 13400 KB Output is correct
30 Correct 532 ms 65104 KB Output is correct
31 Correct 631 ms 66128 KB Output is correct
32 Correct 585 ms 66128 KB Output is correct
33 Correct 617 ms 66628 KB Output is correct
34 Correct 558 ms 66896 KB Output is correct
35 Correct 613 ms 65756 KB Output is correct
36 Correct 862 ms 62296 KB Output is correct
37 Correct 870 ms 62296 KB Output is correct
38 Correct 923 ms 62096 KB Output is correct
39 Correct 894 ms 62544 KB Output is correct
40 Correct 845 ms 62288 KB Output is correct
41 Correct 776 ms 62288 KB Output is correct
42 Correct 516 ms 63824 KB Output is correct
43 Correct 688 ms 63280 KB Output is correct
44 Correct 610 ms 63568 KB Output is correct
45 Correct 610 ms 63956 KB Output is correct
46 Correct 634 ms 63312 KB Output is correct
47 Correct 609 ms 64232 KB Output is correct
48 Correct 521 ms 66628 KB Output is correct
49 Correct 538 ms 67916 KB Output is correct
50 Correct 624 ms 66292 KB Output is correct
51 Correct 556 ms 62288 KB Output is correct
52 Correct 796 ms 62276 KB Output is correct
53 Correct 694 ms 62288 KB Output is correct
54 Correct 709 ms 62288 KB Output is correct
55 Correct 710 ms 62268 KB Output is correct
56 Correct 668 ms 62288 KB Output is correct
57 Correct 571 ms 61572 KB Output is correct
58 Correct 628 ms 61572 KB Output is correct
59 Correct 586 ms 61512 KB Output is correct
60 Correct 630 ms 61568 KB Output is correct
61 Correct 545 ms 61492 KB Output is correct
62 Correct 384 ms 69196 KB Output is correct
63 Correct 428 ms 69184 KB Output is correct
64 Correct 435 ms 69200 KB Output is correct
65 Correct 417 ms 69196 KB Output is correct
66 Correct 398 ms 69452 KB Output is correct
67 Correct 418 ms 69208 KB Output is correct
68 Correct 591 ms 62032 KB Output is correct
69 Correct 906 ms 62032 KB Output is correct
70 Correct 872 ms 62212 KB Output is correct
71 Correct 751 ms 62032 KB Output is correct
72 Correct 883 ms 62032 KB Output is correct
73 Correct 731 ms 62220 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 15960 KB Output is correct
2 Correct 2 ms 15960 KB Output is correct
3 Correct 2 ms 15960 KB Output is correct
4 Correct 3 ms 16216 KB Output is correct
5 Correct 3 ms 15960 KB Output is correct
6 Correct 3 ms 15960 KB Output is correct
7 Correct 3 ms 15960 KB Output is correct
8 Correct 3 ms 15960 KB Output is correct
9 Correct 4 ms 16216 KB Output is correct
10 Correct 3 ms 16216 KB Output is correct
11 Correct 2 ms 15960 KB Output is correct
12 Correct 2 ms 15960 KB Output is correct
13 Correct 2 ms 15960 KB Output is correct
14 Correct 2 ms 15960 KB Output is correct
15 Correct 4 ms 15960 KB Output is correct
16 Correct 4 ms 16020 KB Output is correct
17 Correct 3 ms 15960 KB Output is correct
18 Correct 3 ms 15960 KB Output is correct
19 Correct 4 ms 16268 KB Output is correct
20 Correct 4 ms 11864 KB Output is correct
21 Correct 3 ms 11864 KB Output is correct
22 Correct 3 ms 11864 KB Output is correct
23 Correct 3 ms 11864 KB Output is correct
24 Correct 4 ms 12120 KB Output is correct
25 Correct 15 ms 13912 KB Output is correct
26 Correct 18 ms 13400 KB Output is correct
27 Correct 18 ms 13400 KB Output is correct
28 Correct 24 ms 13656 KB Output is correct
29 Correct 23 ms 13400 KB Output is correct
30 Correct 4 ms 15960 KB Output is correct
31 Correct 739 ms 117196 KB Output is correct
32 Correct 907 ms 115408 KB Output is correct
33 Correct 685 ms 113320 KB Output is correct
34 Correct 820 ms 116136 KB Output is correct
35 Correct 482 ms 107020 KB Output is correct
36 Correct 483 ms 106836 KB Output is correct
37 Correct 740 ms 106576 KB Output is correct
38 Correct 724 ms 106864 KB Output is correct
39 Correct 711 ms 106996 KB Output is correct
40 Correct 663 ms 107336 KB Output is correct
41 Correct 672 ms 110644 KB Output is correct
42 Correct 769 ms 110548 KB Output is correct
43 Correct 584 ms 110500 KB Output is correct
44 Correct 765 ms 109904 KB Output is correct
45 Correct 703 ms 118432 KB Output is correct
46 Correct 2 ms 11864 KB Output is correct
47 Correct 3 ms 11864 KB Output is correct
48 Correct 2 ms 11864 KB Output is correct
49 Correct 2 ms 11864 KB Output is correct
50 Correct 663 ms 107216 KB Output is correct
51 Correct 699 ms 107436 KB Output is correct
52 Correct 558 ms 107344 KB Output is correct
53 Correct 698 ms 107412 KB Output is correct
54 Correct 562 ms 105448 KB Output is correct
55 Correct 575 ms 105276 KB Output is correct
56 Correct 519 ms 105376 KB Output is correct
57 Correct 722 ms 105276 KB Output is correct
58 Correct 409 ms 120964 KB Output is correct
59 Correct 415 ms 120800 KB Output is correct
60 Correct 320 ms 120900 KB Output is correct
61 Correct 420 ms 120956 KB Output is correct
62 Correct 427 ms 106700 KB Output is correct
63 Correct 449 ms 106660 KB Output is correct
64 Correct 369 ms 106720 KB Output is correct
65 Correct 500 ms 106648 KB Output is correct
66 Correct 2 ms 13912 KB Output is correct
67 Correct 2 ms 15960 KB Output is correct
68 Correct 3 ms 15960 KB Output is correct
69 Correct 3 ms 15960 KB Output is correct
70 Correct 3 ms 16008 KB Output is correct
71 Correct 3 ms 15960 KB Output is correct
72 Correct 4 ms 16216 KB Output is correct
73 Correct 17 ms 17868 KB Output is correct
74 Correct 382 ms 122164 KB Output is correct
75 Correct 411 ms 122192 KB Output is correct
76 Correct 351 ms 122312 KB Output is correct
77 Correct 443 ms 122364 KB Output is correct
78 Correct 448 ms 69256 KB Output is correct
79 Correct 458 ms 69188 KB Output is correct
80 Correct 442 ms 69260 KB Output is correct
81 Correct 512 ms 69200 KB Output is correct
82 Correct 451 ms 69168 KB Output is correct
83 Correct 472 ms 69200 KB Output is correct
84 Correct 922 ms 122256 KB Output is correct
85 Correct 969 ms 122448 KB Output is correct
86 Correct 965 ms 122144 KB Output is correct
87 Correct 1031 ms 122524 KB Output is correct
88 Correct 892 ms 122172 KB Output is correct
89 Correct 975 ms 122584 KB Output is correct
90 Correct 2 ms 15960 KB Output is correct
91 Correct 3 ms 15960 KB Output is correct
92 Correct 3 ms 15960 KB Output is correct
93 Correct 3 ms 15960 KB Output is correct
94 Correct 3 ms 16024 KB Output is correct
95 Correct 4 ms 16216 KB Output is correct
96 Correct 19 ms 17496 KB Output is correct
97 Correct 434 ms 108204 KB Output is correct
98 Correct 445 ms 108112 KB Output is correct
99 Correct 400 ms 108280 KB Output is correct
100 Correct 455 ms 108368 KB Output is correct
101 Correct 640 ms 62032 KB Output is correct
102 Correct 904 ms 62040 KB Output is correct
103 Correct 910 ms 62216 KB Output is correct
104 Correct 845 ms 62220 KB Output is correct
105 Correct 1035 ms 62036 KB Output is correct
106 Correct 871 ms 62288 KB Output is correct
107 Correct 1388 ms 108112 KB Output is correct
108 Correct 2048 ms 108112 KB Output is correct
109 Correct 1956 ms 108112 KB Output is correct
110 Correct 1830 ms 108256 KB Output is correct
111 Correct 2331 ms 108288 KB Output is correct
112 Correct 1916 ms 108112 KB Output is correct
113 Correct 532 ms 65104 KB Output is correct
114 Correct 631 ms 66128 KB Output is correct
115 Correct 585 ms 66128 KB Output is correct
116 Correct 617 ms 66628 KB Output is correct
117 Correct 558 ms 66896 KB Output is correct
118 Correct 613 ms 65756 KB Output is correct
119 Correct 862 ms 62296 KB Output is correct
120 Correct 870 ms 62296 KB Output is correct
121 Correct 923 ms 62096 KB Output is correct
122 Correct 894 ms 62544 KB Output is correct
123 Correct 845 ms 62288 KB Output is correct
124 Correct 776 ms 62288 KB Output is correct
125 Correct 516 ms 63824 KB Output is correct
126 Correct 688 ms 63280 KB Output is correct
127 Correct 610 ms 63568 KB Output is correct
128 Correct 610 ms 63956 KB Output is correct
129 Correct 634 ms 63312 KB Output is correct
130 Correct 609 ms 64232 KB Output is correct
131 Correct 521 ms 66628 KB Output is correct
132 Correct 538 ms 67916 KB Output is correct
133 Correct 624 ms 66292 KB Output is correct
134 Correct 556 ms 62288 KB Output is correct
135 Correct 796 ms 62276 KB Output is correct
136 Correct 694 ms 62288 KB Output is correct
137 Correct 709 ms 62288 KB Output is correct
138 Correct 710 ms 62268 KB Output is correct
139 Correct 668 ms 62288 KB Output is correct
140 Correct 571 ms 61572 KB Output is correct
141 Correct 628 ms 61572 KB Output is correct
142 Correct 586 ms 61512 KB Output is correct
143 Correct 630 ms 61568 KB Output is correct
144 Correct 545 ms 61492 KB Output is correct
145 Correct 384 ms 69196 KB Output is correct
146 Correct 428 ms 69184 KB Output is correct
147 Correct 435 ms 69200 KB Output is correct
148 Correct 417 ms 69196 KB Output is correct
149 Correct 398 ms 69452 KB Output is correct
150 Correct 418 ms 69208 KB Output is correct
151 Correct 591 ms 62032 KB Output is correct
152 Correct 906 ms 62032 KB Output is correct
153 Correct 872 ms 62212 KB Output is correct
154 Correct 751 ms 62032 KB Output is correct
155 Correct 883 ms 62032 KB Output is correct
156 Correct 731 ms 62220 KB Output is correct
157 Correct 1036 ms 116188 KB Output is correct
158 Correct 1052 ms 116816 KB Output is correct
159 Correct 1218 ms 115984 KB Output is correct
160 Correct 1326 ms 114868 KB Output is correct
161 Correct 1225 ms 117640 KB Output is correct
162 Correct 1313 ms 117328 KB Output is correct
163 Correct 2057 ms 108236 KB Output is correct
164 Correct 1988 ms 108368 KB Output is correct
165 Correct 2123 ms 107804 KB Output is correct
166 Correct 2069 ms 108460 KB Output is correct
167 Correct 2192 ms 108256 KB Output is correct
168 Correct 1983 ms 107456 KB Output is correct
169 Correct 1341 ms 110420 KB Output is correct
170 Correct 1546 ms 109472 KB Output is correct
171 Correct 1570 ms 109468 KB Output is correct
172 Correct 1485 ms 110416 KB Output is correct
173 Correct 1431 ms 111440 KB Output is correct
174 Correct 1438 ms 112072 KB Output is correct
175 Correct 1213 ms 116852 KB Output is correct
176 Correct 1213 ms 117660 KB Output is correct
177 Correct 1346 ms 121760 KB Output is correct
178 Correct 1512 ms 108808 KB Output is correct
179 Correct 1805 ms 108836 KB Output is correct
180 Correct 1760 ms 108748 KB Output is correct
181 Correct 1773 ms 107356 KB Output is correct
182 Correct 1736 ms 107344 KB Output is correct
183 Correct 1632 ms 108804 KB Output is correct
184 Correct 1303 ms 105276 KB Output is correct
185 Correct 1332 ms 105448 KB Output is correct
186 Correct 1288 ms 105452 KB Output is correct
187 Correct 1381 ms 105444 KB Output is correct
188 Correct 1231 ms 105280 KB Output is correct