QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#353209#7857. (-1,1)-Sumpleteucup-team3215TL 2542ms647972kbC++202.5kb2024-03-13 23:17:172024-03-13 23:17:18

Judging History

你现在查看的是最新测评结果

  • [2024-03-13 23:17:18]
  • 评测
  • 测评结果:TL
  • 用时:2542ms
  • 内存:647972kb
  • [2024-03-13 23:17:17]
  • 提交

answer

#include <algorithm>
#include <array>
#include <iostream>
#include <limits>
#include <vector>

using namespace std;

template<typename T = int>
struct /*Maksim1744*/ Dinic {
	struct Edge {
		int v, u;
		T f, c;
	};
	vector<Edge> ed;
	vector<vector<int> > e;
	int n, st, fin;
	T flow;

	vector<int> ptr, ds, que;

	Dinic(int n_, int st_, int fin_) : n(n_), st(st_), fin(fin_), flow(0) {
		e.resize(n);
		ptr.resize(n);
		ds.resize(n);
		que.resize(n);
	}

	void ae(int v, int u, T c, T bc = 0, T f = 0) {
		int w = int(ed.size());
		ed.push_back({v, u, f, c});
		ed.push_back({u, v, -f, bc});
		e[v].push_back(w);
		e[u].push_back(w + 1);
	}

	bool bfs(T scale) {
		fill(ds.begin(), ds.end(), -1);
		ds[st] = 0;
		int sz = 1;
		que[0] = st;
		for (int it = 0; it < sz; it++) {
			int v = que[it];
			for (int i : e[v])
				if (ed[i].f + scale <= ed[i].c && ds[ed[i].u] == -1) {
					ds[ed[i].u] = ds[v] + 1;
					if (ed[i].u == fin)
						return 1;
					que[sz++] = ed[i].u;
				}
		}
		return 0;
	}

	T dfs(int v, T w, T cs) {
		if (v == fin)
			return w;
		int &i = ptr[v];
		while (i >= 0) {
			auto &t = ed[e[v][i]];
			if (ds[t.u] == ds[v] + 1 && t.f + cs <= t.c) {
				T o = dfs(t.u, min(w, t.c - t.f), cs);
				if (o) {
					t.f += o;
					ed[e[v][i] ^ 1].f -= o;
					return o;
				}
			}
			i--;
		}
		return 0;
	}

	T get(int scale = 30) {
		for (T i = ((T(1)) << scale); i > 0; i >>= 1)
			while (bfs(i)) {
				for (int j = 0; j < n; j++)
					ptr[j] = int(e[j].size()) - 1;
				while (T w = dfs(st, numeric_limits<T>::max(), i))
					flow += w;
			}
		return flow;
	}
};

int main() {
  cin.tie(0)->sync_with_stdio(0);
  int n; cin >> n;
  Dinic<> mf(2 * n + 2, 2 * n, 2 * n + 1);
  for (int i = 0; i < n; ++i) if (string s; cin >> s)
  for (int j = 0; j < n; ++j) {
    if (s[j] == '+') mf.ae(i, n + j, 1);
    else             mf.ae(n + j, i, 1);
  }
  int s[2]{};
  for (int i = 0; i < n; ++i) { int x; cin >> x; if (x > 0) mf.ae(2 * n, i, x), s[0] += x; else mf.ae(i, 2 * n + 1, -x), s[1] -= x; }
  for (int i = 0; i < n; ++i) { int x; cin >> x; if (x < 0) mf.ae(2 * n, n + i, -x), s[0] -= x; else mf.ae(n + i, 2 * n + 1, x), s[1] += x; }
  if (s[0] != s[1] || s[0] != mf.get()) return cout << "NO\n", 0;
  cout << "Yes\n";
  vector<string> ans(n, string(n, '0'));
  for (int i = 0; i < mf.ed.size(); i += 2) if (auto& e = mf.ed[i]; max(e.u, e.v) < 2 * n && e.f) {
    ans[min(e.u, e.v) % n][max(e.u, e.v) % n] = '1';
  }
  for (auto& s: ans) cout << s << '\n';
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3792kb

input:

3
+-+
-++
+-+
1 1 1
1 -1 3

output:

Yes
001
001
111

result:

ok n=3

Test #2:

score: 0
Accepted
time: 0ms
memory: 3612kb

input:

3
---
-++
+++
-2 -1 0
-2 -1 0

output:

Yes
110
100
000

result:

ok n=3

Test #3:

score: 0
Accepted
time: 0ms
memory: 3836kb

input:

3
+-+
-++
++-
1 0 2
2 2 -1

output:

NO

result:

ok n=3

Test #4:

score: 0
Accepted
time: 0ms
memory: 3568kb

input:

1
-
-1
1

output:

NO

result:

ok n=1

Test #5:

score: 0
Accepted
time: 0ms
memory: 3552kb

input:

1
-
0
0

output:

Yes
0

result:

ok n=1

Test #6:

score: 0
Accepted
time: 0ms
memory: 3532kb

input:

20
+-------+-----+++-++
-+-++++----++-++-++-
-+++--+---+--+-++---
-+++-+--+----++---+-
+++-+-++++++-+-+---+
-++-----+----++++++-
+-++--+++++-++-+----
+-+----+---+-+++--+-
+++++-+++++----+--+-
------++++---+--++--
++++--------++++--+-
-+-+-++++-+-++-++--+
---+-++---+-++-++---
+-++++-++----+-+++--
+-+...

output:

Yes
00000000010000000100
00000000000010100010
00000000010000000100
00000011010000000100
00100000100101010001
00000000010000000000
00000000000101000101
00000000000000000001
00000000000000000000
00000100001100000001
00000001011100000101
00000000000101001000
10000000000001011000
00000000000001011000
00...

result:

ok n=20

Test #7:

score: 0
Accepted
time: 1ms
memory: 3964kb

input:

100
++++-+-+--++++++-+--+--++-+-+--+++++-+++---+-+-+-++-+-+++-------+-++--+-++--+--+++++-++-+---+--+--++
-++--++-+-++++-+---++-+-+-+-+-+-+-+-+--+-+--+--+++---+--+-----+-----+-++-++-+-++++++--+-+++-+++-++++
--+---++-++--++-+++-------+--+-++------+-----+--+----++++++++-+--+++++--++--+-+-+++---+--+++-+...

output:

Yes
1111010100111111010010011010100010100000000000000000000000000000000000000000000011110110100010010011
0110011010111101000110101010100010100000000000000000000000000000000000000000101111110010111011101111
0010001101100110111000000010010010000000000000000000000000000000000000000000001011100010011101...

result:

ok n=100

Test #8:

score: 0
Accepted
time: 17ms
memory: 14700kb

input:

500
--+-+-+-++-----+++--+-+++-+---+-+-------+++--++++++-+--++--+-+-++++-++++--++--+---++--++----++--+---++-++--+-----+-+---++-++++-+++++++---++-++--+-++++-+----++-+++-+++---+--+++-+--++-++--+++++++-+++--+---+---+-+---++-+-+--+-+++-++-----+++-++-+++-+-++--++++++-+-++-+++---++-+++-++----+--+++----++++...

output:

Yes
11010101001111100011010001011101011111110001100000010110011010100001000011001101110011001111001101110010011011111010111001000010000000111001001101000010111100100010001110110001010001001100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok n=500

Test #9:

score: 0
Accepted
time: 1144ms
memory: 647948kb

input:

4000
-++-+-+-+--+-++++---+-++------++---+-+++--+++--+++++++---+-++-+++++++----+---+++-++--++---+-++--+----+---+--++-+-+-+-----+-+---++-++--+---+++-++++-+-----++--++-++---++-+--+++-+--+--+-+-++-+++--++---+++-+-+---+++-++-+-++-+-+++---+++---+-+--++---+-+---+--+++--+----+-+--++---+-----+-+--+----+-+++-...

output:

Yes
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok n=4000

Test #10:

score: 0
Accepted
time: 2542ms
memory: 647948kb

input:

4000
+---+--++-+--++-+-++--+++--++--+++-+-+-+--++++++-++-+-+++-+---++++-+-+++----++-+---++--++--+++-----++---++-+--++++----++--++--+-+-++--+--+++++-+---+++-+++--++++-++-+++++++----+++-----+--++-+++-++-++-+++-+--++++++-+--++--+-+---++--------+-+--++----+-++-+-++---+--++--+-+--+-+++-+--+--++++-++----+...

output:

Yes
01110110010110010100110001100110001010101100000010010100010111000010100011110010111001100110001111100111001011000011110011001101010011011000001011100010001100001001000000011110001111101100100010010010001011000000101100110101110011111111010110011110100101001110110011010110100010110110000100111101...

result:

ok n=4000

Test #11:

score: 0
Accepted
time: 1408ms
memory: 647880kb

input:

4000
-+--+------+--+++-++-----++--+-++-++-++-+-+-++++++--++--+-++-+-+++---++-+-+++++-++++++-+-++-++-++-+-++---+-+-------++-+++-++-+-++++-++-+-+-----+----+--+----++++-------++-+--+++----+++++++-+--+-+---+-+++++-+-----++-------++++--+-+-++---++++-++++-++-+++-+-++---+--+---+-++++++--++---+-++++++-+-+--...

output:

Yes
01001000000100111011000001100101101101101010111111001100101101011100011010111110111111010110110110101100010100000001101110110101111011010100000100001001000011110000000110100111000011111110100101000101111101000001100000001111001010110001111011110110111010110001001000101111110011000101011110101000...

result:

ok n=4000

Test #12:

score: 0
Accepted
time: 2242ms
memory: 647972kb

input:

4000
+-+-----++++-----++++-+-++-+----+++---++--+---+++-+-++------+-+-++++----+-++++--+-++----+-+---+--+-----+-++--++-+++---+---+++---++-+++---++++---++----+++--+---+---+++-++-+-+-+--+++--++----++-+------+++-++-++--+--+++---+-------++++-+-++--++-+--+------+++++---+---++-++++-+++-++++-+---++-++++----+...

output:

Yes
01011111000011111000010100101111000111001101110001010011111101010000111101000011010011110101110110111110100110010001110111000111001000111000011100111100011011101110001001010101100011001111001011111100010010011011000111011111110000101001100101101111110000011101100010000100010000101110010000111100...

result:

ok n=4000

Test #13:

score: 0
Accepted
time: 1309ms
memory: 647816kb

input:

4000
-+++---+-------+-++++-+++-++-+--++----++++++---+---++-++++-+++-++++-+---+--+++-----+-+--++-+--+-++++--+--++-+---+++++++++-+++++++-+++--+-+---++-+-++----+-++--++-++++++++++++++-+++-++-+++-++-++---+---+++-+-+++++++--+-+++-++-+-----+++-++--+++------+++--+++---+--+----++-+--+-+---+--+---+-+-+--++++...

output:

Yes
01110001000000010111101110110100110000111111000100011011110111011110100010011100000101001101001011110010011010001111111110111111101110010100011010110000101100110111111111111110111011011101101100010001110101111111001011101101000001110110011100000011000111000000100001101001010001001000100010011110...

result:

ok n=4000

Test #14:

score: -100
Time Limit Exceeded

input:

4000
+--+++++--++--+-+++-++-+-+-+-+--++------++++---+++-+-+--+------++-+--++-+-+++-----+-+++++-+------++++-++++-+--+------++--+++++-+-+--+-+++++++++++++++-+--+-+-+---+-+-+++++-++--+-+---++-++--+--+-+++-+-+++++-+--++-+----+++-++-++++-+---+--+-++-++-+-+-+---++-++-+-+----++-++++-----------+++--++++-++-...

output:


result: