QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#134454#6309. AqrerniyaAC ✓43ms11640kbC++176.6kb2023-08-03 20:13:482023-08-03 20:13:52

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-08-03 20:13:52]
  • 评测
  • 测评结果:AC
  • 用时:43ms
  • 内存:11640kb
  • [2023-08-03 20:13:48]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define ALL(x) (x).begin(), (x).end()
#ifdef LOCAL
#include <debug.hpp>
#else
#define debug(...) void(0)
#endif
template <typename T> istream& operator>>(istream& is, vector<T>& v) {
    for (T& x : v) is >> x;
    return is;
}
template <typename T> ostream& operator<<(ostream& os, const vector<T>& v) {
    for (size_t i = 0; i < v.size(); i++) {
        os << v[i] << (i + 1 == v.size() ? "" : " ");
    }
    return os;
}

template <typename T> T gcd(T x, T y) { return y != 0 ? gcd(y, x % y) : x; }
template <typename T> T lcm(T x, T y) { return x / gcd(x, y) * y; }

int topbit(signed t) { return t == 0 ? -1 : 31 - __builtin_clz(t); }
int topbit(long long t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); }
int botbit(signed a) { return a == 0 ? 32 : __builtin_ctz(a); }
int botbit(long long a) { return a == 0 ? 64 : __builtin_ctzll(a); }
int popcount(signed t) { return __builtin_popcount(t); }
int popcount(long long t) { return __builtin_popcountll(t); }
bool ispow2(int i) { return i && (i & -i) == i; }
long long MSK(int n) { return (1LL << n) - 1; }

template <class T> T ceil(T x, T y) {
    assert(y >= 1);
    return (x > 0 ? (x + y - 1) / y : x / y);
}
template <class T> T floor(T x, T y) {
    assert(y >= 1);
    return (x > 0 ? x / y : (x - y + 1) / y);
}

template <class T1, class T2> inline bool chmin(T1& a, T2 b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}
template <class T1, class T2> inline bool chmax(T1& a, T2 b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}

template <typename T> void mkuni(vector<T>& v) {
    sort(v.begin(), v.end());
    v.erase(unique(v.begin(), v.end()), v.end());
}
template <typename T> int lwb(const vector<T>& v, const T& x) { return lower_bound(v.begin(), v.end(), x) - v.begin(); }

const int INF = (1 << 30) - 1;
const long long IINF = (1LL << 60) - 1;
const int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};
const int MOD = 998244353;
// const int MOD = 1000000007;

int one[4] = {1, 1, 1, 0};

int two[2][4] = {{1, 1, 1, 0}, {1, 0, 1, 1}};
int three[3][4] = {{1, 1, 1, 0}, {1, 1, 1, 0}, {1, 0, 1, 1}};
vector<vector<vector<int>>> mass = {{{1, 1, 1, 0}, {1, 0, 1, 1}, {0, 1, 1, 1}, {1, 1, 0, 1}},
                                    {{1, 1, 1, 0}, {1, 0, 1, 1}, {0, 1, 1, 1}, {1, 1, 0, 1}},
                                    {{1, 1, 1, 0}, {1, 1, 0, 1}, {0, 1, 1, 1}, {1, 0, 1, 1}},
                                    {{1, 0, 1, 1}, {1, 1, 1, 0}, {1, 1, 0, 1}, {0, 1, 1, 1}}};

vector<vector<int>> solve(int n, int m) {
    vector<vector<int>> res(n, vector<int>(m));
    if (n == 2) {
        if (m <= 3) {
            for (int i = 0; i < n; i++) {
                for (int j = 0; j < m; j++) {
                    res[i][j] = 1;
                }
            }
            return res;
        }
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                res[i][j] = two[i][j % 4];
            }
        }
        return res;
    }
    if (n == 3) {
        if (m <= 3) {
            for (int i = 0; i < n; i++) {
                for (int j = 0; j < m; j++) {
                    res[i][j] = 1;
                }
            }
            return res;
        }
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                res[i][j] = three[i][j % 4];
            }
        }
        return res;
    }
    int x = n % 4;
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            res[i][j] = mass[x][i % 4][j % 4];
        }
    }
    return res;
}

bool check(int n, int m, vector<vector<int>> res) {
    if (res.size() != n) return false;
    if (res[0].size() != m) return false;
    for (int i = 0; i < n; i++) {
        for (int j = 1, cnt = 1; j < m; j++) {
            if (res[i][j] == res[i][j - 1])
                cnt++;
            else
                cnt = 1;
            if (cnt == 4) return false;
        }
    }
    for (int j = 0; j < m; j++) {
        for (int i = 1, cnt = 1; i < n; i++) {
            if (res[i][j] == res[i - 1][j])
                cnt++;
            else
                cnt = 1;
            if (cnt == 4) return false;
        }
    }
    vector<vector<bool>> seen(n, vector<bool>(m, false));
    queue<pair<int, int>> que;
    for (int i = 0, f = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            if (res[i][j] != 1) continue;
            if (seen[i][j]) continue;
            if (f) return false;
            f = 1;
            seen[i][j] = true;
            que.emplace(i, j);
            while (not que.empty()) {
                auto [x, y] = que.front();
                que.pop();
                for (int k = 0; k < 4; k++) {
                    int nx = x + dx[k], ny = y + dy[k];
                    if (nx < 0 or n <= nx or ny < 0 or m <= ny) continue;
                    if (res[nx][ny] != 1) continue;
                    if (seen[nx][ny]) continue;
                    seen[nx][ny] = true;
                    que.emplace(nx, ny);
                }
            }
        }
    }
    return true;
}

vector<vector<int>> solve1(int n, int m) {
    int flag = 0;
    if (n > m) {
        swap(n, m);
        flag ^= 1;
    }
    if (n > 4 and m % 4 == 0) {
        swap(n, m);
        flag ^= 1;
    }
    auto res = solve(n, m);
    if (flag) {
        vector<vector<int>> nres(m, vector<int>(n));
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                nres[j][i] = res[i][j];
            }
        }
        swap(res, nres);
        swap(n, m);
    }
    if (not check(n, m, res)) {
        debug(n, m);
        for (int i = 0; i < n; i++) cout << res[i] << '\n';
    }
    return res;
}

void test() {
    for (int n = 2; n < 20; n++) {
        for (int m = 2; m < 20; m++) {
            solve1(n, m);
        }
    }
}

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    // test();
    // return 0;
    int T;
    cin >> T;
    for (; T--;) {
        int n, m;
        cin >> n >> m;
        auto res = solve1(n, m);
        int sum = 0;
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                sum += res[i][j];
            }
        }
        cout << sum << '\n';
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) cout << res[i][j];
            cout << '\n';
        }
    }
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3596kb

input:

3
2 2
3 4
3 8

output:

4
11
11
9
1110
1110
1011
18
11101110
11101110
10111011

result:

ok ok (3 test cases)

Test #2:

score: 0
Accepted
time: 3ms
memory: 3504kb

input:

361
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
2 11
2 12
2 13
2 14
2 15
2 16
2 17
2 18
2 19
2 20
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
3 11
3 12
3 13
3 14
3 15
3 16
3 17
3 18
3 19
3 20
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
4 11
4 12
4 13
4 14
4 15
4 16
4 17
4 18
4 19
4 20
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 1...

output:

4
11
11
6
111
111
6
1110
1011
8
11101
10111
9
111011
101110
11
1110111
1011101
12
11101110
10111011
14
111011101
101110111
15
1110111011
1011101110
17
11101110111
10111011101
18
111011101110
101110111011
20
1110111011101
1011101110111
21
11101110111011
10111011101110
23
111011101110111
1011101110111...

result:

ok ok (361 test cases)

Test #3:

score: 0
Accepted
time: 35ms
memory: 3616kb

input:

100
91 91
91 92
91 93
91 94
91 95
91 96
91 97
91 98
91 99
91 100
92 91
92 92
92 93
92 94
92 95
92 96
92 97
92 98
92 99
92 100
93 91
93 92
93 93
93 94
93 95
93 96
93 97
93 98
93 99
93 100
94 91
94 92
94 93
94 94
94 95
94 96
94 97
94 98
94 99
94 100
95 91
95 92
95 93
95 94
95 95
95 96
95 97
95 98
95 9...

output:

6211
1011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101
1110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111
1101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110
0111011101110111011...

result:

ok ok (100 test cases)

Test #4:

score: 0
Accepted
time: 32ms
memory: 4088kb

input:

16
247 247
247 248
247 249
247 250
248 247
248 248
248 249
248 250
249 247
249 248
249 249
249 250
250 247
250 248
250 249
250 250

output:

45757
1011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101
1110111011101110111011101110111011101110111011...

result:

ok ok (16 test cases)

Test #5:

score: 0
Accepted
time: 36ms
memory: 11508kb

input:

1
997 997

output:

745507
11101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101...

result:

ok ok (1 test case)

Test #6:

score: 0
Accepted
time: 35ms
memory: 11516kb

input:

1
997 998

output:

746255
11101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101...

result:

ok ok (1 test case)

Test #7:

score: 0
Accepted
time: 35ms
memory: 11560kb

input:

1
997 999

output:

747003
11101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101...

result:

ok ok (1 test case)

Test #8:

score: 0
Accepted
time: 40ms
memory: 11528kb

input:

1
997 1000

output:

747750
11011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011...

result:

ok ok (1 test case)

Test #9:

score: 0
Accepted
time: 43ms
memory: 11516kb

input:

1
998 997

output:

746255
11011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011...

result:

ok ok (1 test case)

Test #10:

score: 0
Accepted
time: 40ms
memory: 11620kb

input:

1
998 998

output:

747004
11101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101...

result:

ok ok (1 test case)

Test #11:

score: 0
Accepted
time: 33ms
memory: 11536kb

input:

1
998 999

output:

747752
11101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101...

result:

ok ok (1 test case)

Test #12:

score: 0
Accepted
time: 37ms
memory: 11556kb

input:

1
998 1000

output:

748500
11011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011...

result:

ok ok (1 test case)

Test #13:

score: 0
Accepted
time: 38ms
memory: 11516kb

input:

1
999 997

output:

747003
11011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011...

result:

ok ok (1 test case)

Test #14:

score: 0
Accepted
time: 36ms
memory: 11640kb

input:

1
999 998

output:

747752
11011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011...

result:

ok ok (1 test case)

Test #15:

score: 0
Accepted
time: 38ms
memory: 11612kb

input:

1
999 999

output:

748501
10111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #16:

score: 0
Accepted
time: 35ms
memory: 11612kb

input:

1
999 1000

output:

749250
11011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011...

result:

ok ok (1 test case)

Test #17:

score: 0
Accepted
time: 35ms
memory: 11560kb

input:

1
1000 997

output:

747750
11101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101...

result:

ok ok (1 test case)

Test #18:

score: 0
Accepted
time: 37ms
memory: 11524kb

input:

1
1000 998

output:

748500
11101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101...

result:

ok ok (1 test case)

Test #19:

score: 0
Accepted
time: 40ms
memory: 11612kb

input:

1
1000 999

output:

749250
11101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101...

result:

ok ok (1 test case)

Test #20:

score: 0
Accepted
time: 42ms
memory: 11632kb

input:

1
1000 1000

output:

750000
11011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011...

result:

ok ok (1 test case)

Test #21:

score: 0
Accepted
time: 0ms
memory: 3536kb

input:

1
3 997

output:

2244
1110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #22:

score: 0
Accepted
time: 1ms
memory: 3580kb

input:

1
3 998

output:

2246
1110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #23:

score: 0
Accepted
time: 2ms
memory: 3624kb

input:

1
3 999

output:

2249
1110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #24:

score: 0
Accepted
time: 1ms
memory: 3564kb

input:

1
3 1000

output:

2250
1110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #25:

score: 0
Accepted
time: 1ms
memory: 3724kb

input:

1
997 3

output:

2244
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110...

result:

ok ok (1 test case)

Test #26:

score: 0
Accepted
time: 0ms
memory: 3724kb

input:

1
998 3

output:

2246
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110...

result:

ok ok (1 test case)

Test #27:

score: 0
Accepted
time: 1ms
memory: 3652kb

input:

1
999 3

output:

2249
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110...

result:

ok ok (1 test case)

Test #28:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

1
1000 3

output:

2250
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110
111
001
111
110...

result:

ok ok (1 test case)

Test #29:

score: 0
Accepted
time: 1ms
memory: 3484kb

input:

1
2 997

output:

1496
1110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #30:

score: 0
Accepted
time: 1ms
memory: 3560kb

input:

1
2 998

output:

1497
1110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #31:

score: 0
Accepted
time: 1ms
memory: 3560kb

input:

1
2 999

output:

1499
1110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #32:

score: 0
Accepted
time: 1ms
memory: 3616kb

input:

1
2 1000

output:

1500
1110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #33:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

1
997 2

output:

1496
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
1...

result:

ok ok (1 test case)

Test #34:

score: 0
Accepted
time: 1ms
memory: 3688kb

input:

1
998 2

output:

1497
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
1...

result:

ok ok (1 test case)

Test #35:

score: 0
Accepted
time: 1ms
memory: 3736kb

input:

1
999 2

output:

1499
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
1...

result:

ok ok (1 test case)

Test #36:

score: 0
Accepted
time: 1ms
memory: 3732kb

input:

1
1000 2

output:

1500
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
1...

result:

ok ok (1 test case)