QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#353282 | #7857. (-1,1)-Sumplete | ucup-team3215 | AC ✓ | 1725ms | 667604kb | C++20 | 3.7kb | 2024-03-14 00:51:53 | 2024-03-14 00:51:54 |
Judging History
answer
#include <algorithm>
#include <array>
#include <iostream>
#include <limits>
#include <vector>
using namespace std;
constexpr int N = 4e3;
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;
}
};
bool a[N][N], u[N][N], dr[N], dc[N];
int rt[N], ct[N], br[N][2], bc[N][2];
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) a[i][j] = s[j] == '+', br[i][1] += s[j] == '+', br[i][0] -= s[j] == '-', bc[j][1] += s[j] == '+', bc[j][0] -= s[j] == '-';
for (int i = 0; i < n; ++i) cin >> rt[i];
for (int i = 0; i < n; ++i) cin >> ct[i];
vector<string> ans(n, string(n, '0'));
auto mark = [&](int i, int j, bool w) {
if (u[i][j]) return;
u[i][j] = 1, ans[i][j] = '0' + (a[i][j] == w);
br[i][1] -= a[i][j], br[i][0] += !a[i][j];
bc[j][1] -= a[i][j], bc[j][0] += !a[i][j];
if (a[i][j] == w) rt[i] -= 2 * a[i][j] - 1, ct[j] -= 2 * a[i][j] - 1;
};
for (int ch = 1; ch--; ) {
for (int i = 0; i < n; ++i) if (!dr[i] && (rt[i] >= br[i][1] || rt[i] <= br[i][0])) if (dr[i] = ch = 1)
for (int j = 0; j < n; ++j) mark(i, j, rt[i] >= br[i][1]);
for (int i = 0; i < n; ++i) if (!dc[i] && (ct[i] >= bc[i][1] || ct[i] <= bc[i][0])) if (dc[i] = ch = 1)
for (int j = 0; j < n; ++j) mark(j, i, ct[i] >= bc[i][1]);
}
int s[2]{};
for (int i = 0; i < n; ++i) if (rt[i] > br[i][1] || rt[i] < br[i][0] || ct[i] > bc[i][1] || ct[i] < bc[i][0]) goto fail;
for (int i = 0; i < n; ++i)
for (int j = 0; j < n; ++j) {
if (u[i][j]) ;
else if (a[i][j]) mf.ae(i, n + j, 1);
else mf.ae(n + j, i, 1);
}
for (int i = 0; i < n; ++i) if (rt[i] > 0) mf.ae(2 * n, i, rt[i]), s[0] += rt[i]; else mf.ae(i, 2 * n + 1, -rt[i]), s[1] -= rt[i];
for (int i = 0; i < n; ++i) if (ct[i] < 0) mf.ae(2 * n, n + i, -ct[i]), s[0] -= ct[i]; else mf.ae(n + i, 2 * n + 1, ct[i]), s[1] += ct[i];
if (s[0] != s[1] || s[0] != mf.get(1)) fail: return cout << "NO\n", 0;
cout << "Yes\n";
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';
}
这程序好像有点Bug,我给组数据试试?
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 5704kb
input:
3 +-+ -++ +-+ 1 1 1 1 -1 3
output:
Yes 001 001 111
result:
ok n=3
Test #2:
score: 0
Accepted
time: 1ms
memory: 5936kb
input:
3 --- -++ +++ -2 -1 0 -2 -1 0
output:
Yes 110 100 000
result:
ok n=3
Test #3:
score: 0
Accepted
time: 1ms
memory: 5704kb
input:
3 +-+ -++ ++- 1 0 2 2 2 -1
output:
NO
result:
ok n=3
Test #4:
score: 0
Accepted
time: 1ms
memory: 5760kb
input:
1 - -1 1
output:
NO
result:
ok n=1
Test #5:
score: 0
Accepted
time: 1ms
memory: 5700kb
input:
1 - 0 0
output:
Yes 0
result:
ok n=1
Test #6:
score: 0
Accepted
time: 1ms
memory: 5668kb
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: 2ms
memory: 5976kb
input:
100 ++++-+-+--++++++-+--+--++-+-+--+++++-+++---+-+-+-++-+-+++-------+-++--+-++--+--+++++-++-+---+--+--++ -++--++-+-++++-+---++-+-+-+-+-+-+-+-+--+-+--+--+++---+--+-----+-----+-++-++-+-++++++--+-+++-+++-++++ --+---++-++--++-+++-------+--+-++------+-----+--+----++++++++-+--+++++--++--+-+-+++---+--+++-+...
output:
Yes 1111010100111111010010011010100010100000000000000000000000000000000000000000000011110110100010010011 0110011010111101000110101010100010100000000000000000000000000000000000000000101111110010111011101111 0010001101100110111000000010010010000000000000000000000000000000000000000000001011100010011101...
result:
ok n=100
Test #8:
score: 0
Accepted
time: 13ms
memory: 18852kb
input:
500 --+-+-+-++-----+++--+-+++-+---+-+-------+++--++++++-+--++--+-+-++++-++++--++--+---++--++----++--+---++-++--+-----+-+---++-++++-+++++++---++-++--+-++++-+----++-+++-+++---+--+++-+--++-++--+++++++-+++--+---+---+-+---++-+-+--+-+++-++-----+++-++-+++-+-++--++++++-+-++-+++---++-+++-++----+--+++----++++...
output:
Yes 11010101001111100011010001011101011111110001100000010110011010100001000011001101110011001111001101110010011011111010111001000010000000111001001101000010111100100010001110110001010001001100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...
result:
ok n=500
Test #9:
score: 0
Accepted
time: 1026ms
memory: 666676kb
input:
4000 -++-+-+-+--+-++++---+-++------++---+-+++--+++--+++++++---+-++-+++++++----+---+++-++--++---+-++--+----+---+--++-+-+-+-----+-+---++-++--+---+++-++++-+-----++--++-++---++-+--+++-+--+--+-+-++-+++--++---+++-+-+---+++-++-+-++-+-+++---+++---+-+--++---+-+---+--+++--+----+-+--++---+-----+-+--+----+-+++-...
output:
Yes 00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...
result:
ok n=4000
Test #10:
score: 0
Accepted
time: 1274ms
memory: 665372kb
input:
4000 +---+--++-+--++-+-++--+++--++--+++-+-+-+--++++++-++-+-+++-+---++++-+-+++----++-+---++--++--+++-----++---++-+--++++----++--++--+-+-++--+--+++++-+---+++-+++--++++-++-+++++++----+++-----+--++-+++-++-++-+++-+--++++++-+--++--+-+---++--------+-+--++----+-++-+-++---+--++--+-+--+-+++-+--+--++++-++----+...
output:
Yes 01110110010110010100110001100110001010101100000010010100010111000010100011110010111001100110001111100111001011000011110011001101010011011000001011100010001100001001000000011110001111101100100010010010001011000000101100110101110011111111010110011110100101001110110011010110100010110110000100111101...
result:
ok n=4000
Test #11:
score: 0
Accepted
time: 1127ms
memory: 666200kb
input:
4000 -+--+------+--+++-++-----++--+-++-++-++-+-+-++++++--++--+-++-+-+++---++-+-+++++-++++++-+-++-++-++-+-++---+-+-------++-+++-++-+-++++-++-+-+-----+----+--+----++++-------++-+--+++----+++++++-+--+-+---+-+++++-+-----++-------++++--+-+-++---++++-++++-++-+++-+-++---+--+---+-++++++--++---+-++++++-+-+--...
output:
Yes 01001000000100111011000001100101101101101010111111001100101101011100011010111110111111010110110110101100010100000001101110110101111011010100000100001001000011110000000110100111000011111110100101000101111101000001100000001111001010110001111011110110111010110001001000101111110011000101011110101000...
result:
ok n=4000
Test #12:
score: 0
Accepted
time: 1231ms
memory: 665748kb
input:
4000 +-+-----++++-----++++-+-++-+----+++---++--+---+++-+-++------+-+-++++----+-++++--+-++----+-+---+--+-----+-++--++-+++---+---+++---++-+++---++++---++----+++--+---+---+++-++-+-+-+--+++--++----++-+------+++-++-++--+--+++---+-------++++-+-++--++-+--+------+++++---+---++-++++-+++-++++-+---++-++++----+...
output:
Yes 01011111000011111000010100101111000111001101110001010011111101010000111101000011010011110101110110111110100110010001110111000111001000111000011100111100011011101110001001010101100011001111001011111100010010011011000111011111110000101001100101101111110000011101100010000100010000101110010000111100...
result:
ok n=4000
Test #13:
score: 0
Accepted
time: 1100ms
memory: 665384kb
input:
4000 -+++---+-------+-++++-+++-++-+--++----++++++---+---++-++++-+++-++++-+---+--+++-----+-+--++-+--+-++++--+--++-+---+++++++++-+++++++-+++--+-+---++-+-++----+-++--++-++++++++++++++-+++-++-+++-++-++---+---+++-+-+++++++--+-+++-++-+-----+++-++--+++------+++--+++---+--+----++-+--+-+---+--+---+-+-+--++++...
output:
Yes 01110001000000010111101110110100110000111111000100011011110111011110100010011100000101001101001011110010011010001111111110111111101110010100011010110000101100110111111111111110111011011101101100010001110101111111001011101101000001110110011100000011000111000000100001101001010001001000100010011110...
result:
ok n=4000
Test #14:
score: 0
Accepted
time: 1725ms
memory: 666304kb
input:
4000 +--+++++--++--+-+++-++-+-+-+-+--++------++++---+++-+-+--+------++-+--++-+-+++-----+-+++++-+------++++-++++-+--+------++--+++++-+-+--+-+++++++++++++++-+--+-+-+---+-+-+++++-++--+-+---++-++--+--+-+++-+-+++++-+--++-+----+++-++-++++-+---+--+-++-++-+-+-+---++-++-+-+----++-++++-----------+++--++++-++-...
output:
Yes 01100000110011010001001010101011001111110000111000101011011111100101100101000111110100000101111110000100001011011111100110000010101101000000000000000101101010111010100000100110101110010011011010001010000010110010111100010010000101110110100100101010111001001010111100100001111111111100011000010010...
result:
ok n=4000
Test #15:
score: 0
Accepted
time: 1352ms
memory: 667604kb
input:
4000 ---++-++-+-+----++-++++-----------+++--++++-++-++--+-+--+--+-+-++++--++-++--+++++--++--+-+----+-+---++-+++-+--+-++++++++-++---++++-+--+-+++---+-+--+--+-+--+--++++++-+---++++++-++++----+-+-+-++--+---+--+-+++--++++++-+++-+---+--+-----------++-+++--+++++++--++-+++++--+++-+-+++++++++--+---+++--+-+-...
output:
Yes 00011011010100001101111000000000001110011110110110010100100101011110011011001111100110010100001010001101110100101111111101100011110100101110001010010010100100111111010001111110111100001010101100100010010111001111110111010001001000000000001101110011111110011011111001110101111111110010001110010100...
result:
ok n=4000
Test #16:
score: 0
Accepted
time: 510ms
memory: 51352kb
input:
4000 ++-+-------+--++-++-++--++-+++++-++++--+-----++-+--+---++++--+-----++++++---+--+---+------+++-+-----+-+++--+++-+-+-+++-----++---+-+---+-+++++-+--+-++--++-+-----++-+-+---+++-+----++++---++--+-+-++-++-+--++---+++------++-+-++++--+--++-++-+++-++-+--++----++---+-+++-+-+++-++-+--++-++++--++-+-+-+-+-...
output:
Yes 10011000000100110011110001111011011110010000011110010001111001000001111110000001000100000010101000001011100111010101110000011000101000101111101001011001101000001101010001110101001111001110010110101101001110011100000011011111100100110110111011010011000001000100110101110110100110110100110101010110...
result:
ok n=4000
Test #17:
score: 0
Accepted
time: 516ms
memory: 51316kb
input:
3999 -+-+++---+-----++-++-+++--++-++-----+-++-+---+++-+++-+-+--+++++-++-+++-+---+-----+-++++-+--++-+++--+-++++--+-+-+-+-+----++----+--+---+--+--++-+++--++-+-++--++------+-+--++++--++-+--+----++---+-+---+++++--++-+-++-+++--++---++++-+-+--+-+++++-+-+--+---+---+-+--++++---+-++++-+--++------+++-+++-+-+-...
output:
Yes 10100010101111100110100011001001011101001011100010001011100000010010001011101111101000010110010001101000011010101010110100011101101110110110010101100101001100111111010110000110010110111100101010111000001100101001000110010100001010110100100101011011101110101100001110100001011001111110001000001010...
result:
ok n=3999
Test #18:
score: 0
Accepted
time: 503ms
memory: 51336kb
input:
3998 --------+++--++-++++--+-+-++---+--++---++-+-++--+----++++---+-++-+-++++++++-+-+++---++++++-+--+-------+--+----++--+--+-+--+++---++-+++---+++-++-+++--++-+----+---+--+-++++--++++-++-+-+---+---+-++----+++++++++++--++--+++++-+++++++-+-+--+-+---+++-++-+++++-+-+-+-+++-+-++-+-+--+-+----+++-+-+--++-+--...
output:
Yes 11111110011000110001110000010110001000110100111101110110000111000100001000101000001010101100001111110001001001011100100000110010101001101011001101110110011110100001100110010111010010100001011111011000100010110001100000001110011001011010111001111011000000010110101001010001000110100000100110000010...
result:
ok n=3998
Test #19:
score: 0
Accepted
time: 502ms
memory: 50564kb
input:
4000 ++-+-------+--++-++-++--++-+++++-++++--+-----++-+--+---++++--+-----++++++---+--+---+------+++-+-----+-+++--+++-+-+-+++-----++---+-+---+-+++++-+--+-++--++-+-----++-+-+---+++-+----++++---++--+-+-++-++-+--++---+++------++-+-++++--+--++-++-+++-++-+--++----++---+-+++-+-+++-++-+--++-++++--++-+-+-+-+-...
output:
NO
result:
ok n=4000
Test #20:
score: 0
Accepted
time: 496ms
memory: 50544kb
input:
3999 -+-+++---+-----++-++-+++--++-++-----+-++-+---+++-+++-+-+--+++++-++-+++-+---+-----+-++++-+--++-+++--+-++++--+-+-+-+-+----++----+--+---+--+--++-+++--++-+-++--++------+-+--++++--++-+--+----++---+-+---+++++--++-+-++-+++--++---++++-+-+--+-+++++-+-+--+---+---+-+--++++---+-++++-+--++------+++-+++-+-+-...
output:
NO
result:
ok n=3999
Test #21:
score: 0
Accepted
time: 484ms
memory: 50648kb
input:
3998 --------+++--++-++++--+-+-++---+--++---++-+-++--+----++++---+-++-+-++++++++-+-+++---++++++-+--+-------+--+----++--+--+-+--+++---++-+++---+++-++-+++--++-+----+---+--+-++++--++++-++-+-+---+---+-++----+++++++++++--++--+++++-+++++++-+-+--+-+---+++-++-+++++-+-+-+-+++-+-++-+-+--+-+----+++-+-+--++-+--...
output:
NO
result:
ok n=3998
Test #22:
score: 0
Accepted
time: 1ms
memory: 5904kb
input:
2 +- -- 0 -1 -1 2
output:
NO
result:
ok n=2
Test #23:
score: 0
Accepted
time: 1ms
memory: 5720kb
input:
20 --+--------+---++-++ --+++-+----+--++-+++ -+-+-++++---+-+---++ +++-++--++-++-++--++ +---+----+-+++-++++- ----+++++--++----+-+ +-++++----++--++---- ++++++-+-+-++-++--+- -+--+-++++-+-+-+-+-+ --++-+-+--++-++--++- +---+++-+++-+-+-++-+ +++-+--+++-++-+++-+- --++--+-++-+--+-+-++ ----++-+--+-+-++++-+ --+...
output:
NO
result:
ok n=20
Test #24:
score: 0
Accepted
time: 310ms
memory: 50768kb
input:
4000 ++---+++-+++-++++++----++-+-+----+-+----+-+-+---+--+-+-----+-+--++++++-++-++++-++----+-++---++++++--+++++--+++--++++-+-+++-++++-+--+++-+++-+--+-+-+++-+-+-+-+++-+-++-++-++++-++-+-++----++++-++++++--+-+---++--+++-++-+-+----+++--+-+--++----+-+++-+-------+++-++--+++-+--+-++----+--------++++--+--+-+...
output:
NO
result:
ok n=4000
Test #25:
score: 0
Accepted
time: 232ms
memory: 51512kb
input:
3999 -++--+-+--+++-++--+---++--+---++--+++---++--++---++-+--++---+--++++---+++---++--++-+++++----++-+-+-----++--+++--++--++-+--+-++++-++++--++++-----------+++-+++++++-++--++--+-----++-+-----++++--+++++-+++-+-+--++++-++--++--+--+++-+-+-+-++-++----+---+++++--+++-+---++---+--+-++++-+-++-+-+-+---++-----...
output:
Yes 10011010110001001101110011011100110001110011001110010110011101100001110001110011001000001111001010111110011000110011001011010000100001100001111111111100010000000100110011011111001011111000011000001000101011000010011001101100010101010010011110111000001100010111001110110100001010010101011100111111...
result:
ok n=3999
Test #26:
score: 0
Accepted
time: 226ms
memory: 51476kb
input:
4000 ++---+++-+++-++++++----++-+-+----+-+----+-+-+---+--+-+-----+-+--++++++-++-++++-++----+-++---++++++--+++++--+++--++++-+-+++-++++-+--+++-+++-+--+-+-+++-+-+-+-+++-+-++-++-++++-++-+-++----++++-++++++--+-+---++--+++-++-+-+----+++--+-+--++----+-+++-+-------+++-++--+++-+--+-++----+--------++++--+--+-+...
output:
Yes 00111000100010000001111001010111101011110101011101101011111010110000001001000010011110100111000000110000011000110000101000100001011000100010110101000101010100010100100100001001010011110000100000011010111001100010010101111000110101100111101000101111111000100110001011010011110111111110000110110100...
result:
ok n=4000
Test #27:
score: 0
Accepted
time: 227ms
memory: 51348kb
input:
3999 -++--+-+--+++-++--+---++--+---++--+++---++--++---++-+--++---+--++++---+++---++--++-+++++----++-+-+-----++--+++--++--++-+--+-++++-++++--++++-----------+++-+++++++-++--++--+-----++-+-----++++--+++++-+++-+-+--++++-++--++--+--+++-+-+-+-++-++----+---+++++--+++-+---++---+--+-++++-+-++-+-+-+---++-----...
output:
Yes 01100101001110110010001100100011001110001100110001101001100010011110001110001100110111110000110101000001100111001100110100101111011110011110000000000011101111111011001100100000110100000111100111110111010100111101100110010011101010101101100001000111110011101000110001001011110101101010100011000000...
result:
ok n=3999
Test #28:
score: 0
Accepted
time: 239ms
memory: 51312kb
input:
4000 ++---+++-+++-++++++----++-+-+----+-+----+-+-+---+--+-+-----+-+--++++++-++-++++-++----+-++---++++++--+++++--+++--++++-+-+++-++++-+--+++-+++-+--+-+-+++-+-+-+-+++-+-++-++-++++-++-+-++----++++-++++++--+-+---++--+++-++-+-+----+++--+-+--++----+-+++-+-------+++-++--+++-+--+-++----+--------++++--+--+-+...
output:
Yes 11000111011101111110000110101000010100001010100010010100000101001111110110111101100001011000111111001111100111001111010111011110100111011101001010111010101011101011011011110110101100001111011111100101000110011101101010000111001010011000010111010000000111011001110100101100001000000001111001001011...
result:
ok n=4000
Extra Test:
score: 0
Extra Test Passed