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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#290533#4606. 无限之环MoRanSky100 ✓205ms76004kbC++234.7kb2023-12-25 05:38:412023-12-25 05:38:41

Judging History

你现在查看的是最新测评结果

  • [2023-12-25 05:38:41]
  • 评测
  • 测评结果:100
  • 用时:205ms
  • 内存:76004kb
  • [2023-12-25 05:38:41]
  • 提交

answer

// Skyqwq
#include <bits/stdc++.h>

#define pb push_back
#define fi first
#define se second
#define mp make_pair

using namespace std;

typedef pair<int, int> PII;
typedef long long LL;

template <typename T> bool chkMax(T &x, T y) { return (y > x) ? x = y, 1 : 0; }
template <typename T> bool chkMin(T &x, T y) { return (y < x) ? x = y, 1 : 0; }

template <typename T> void inline read(T &x) {
    int f = 1; x = 0; char s = getchar();
    while (s < '0' || s > '9') { if (s == '-') f = -1; s = getchar(); }
    while (s <= '9' && s >= '0') x = x * 10 + (s ^ 48), s = getchar();
    x *= f;
}



const int N = 6005, M = N + N * 4, INF = 0x3f3f3f3f, Z = 2005;

int n, m, s, t, maxflow, cost, d[N], incf[N], pre[N];

int q[N];

int head[N], numE = 1;

bool vis[N];

struct E{
    int next, v, w, c;
} e[M << 1];

void inline add(int u, int v, int w, int c) {
    e[++numE] = (E) { head[u], v, w, c };
    head[u] = numE;
}

void inline addE(int u, int v, int w, int c) {
	add(u, v, w, c), add(v, u, 0, -c);
}

// Spfa || 
bool spfa() {
    memset(vis, false, sizeof vis);
    memset(d, 0x3f, sizeof d);
    int hh = 0, tt = 1;
    q[0] = s; d[s] = 0; incf[s] = 2e9;
    while (hh != tt) {
        int u = q[hh++]; vis[u] = false;
        if (hh == N) hh = 0;
        for (int i = head[u]; i; i = e[i].next) {
            int v = e[i].v;
            if (e[i].w && d[u] + e[i].c < d[v]) {
                d[v] = d[u] + e[i].c;
                pre[v] = i;
                incf[v] = min(incf[u], e[i].w);
                if (!vis[v]) {
                    q[tt++] = v;
                    vis[v] = true;
                    if (tt == N) tt = 0;
                }
            }
        }
    } 
    return d[t] != INF;
}

void update() {
    int x = t;
    while (x != s) {
        int i = pre[x];
        e[i].w -= incf[t], e[i ^ 1].w += incf[t];
        x = e[i ^ 1].v;
    }
    maxflow += incf[t];
    cost += d[t] * incf[t];
}

int w[Z][Z][4], p[Z][Z][4], sum, num[Z][Z];

int inline id(int x, int y) {
	return (x - 1) * m + y;
}

int main() {
	memset(w, 0x3f, sizeof w);
    read(n), read(m);
    s = n * m + 1, t = s + 1;
    int idx = t;
    for (int i = 1; i <= n; i++) {
    	for (int j = 1; j <= m; j++) {
    		int x; read(x);
    		int o = 0;
    		for (int k = 0; k < 4; k++) o += (x >> k & 1), p[i][j][k] = id(i, j);
    		num[i][j] = o;
    		if (o == 4) {
    			for (int k = 0; k < 4; k++)
    				w[i][j][k] = 0;
    		} else if (o == 3) {
    			int v = 0;
    			while (x >> v & 1) v++;
    			w[i][j][v] = 2;
    			w[i][j][(v + 1) % 4] = 1;
    			w[i][j][(v + 3) % 4] = 1;
    			w[i][j][(v + 2) % 4] = 0;
    			sum -= 2;
    		} else if (o == 2) {
    			int v = 0;
    			while (!(x >> v & 1)) v++;
    			int u = v + 1;
    			while (!(x >> u & 1)) u++;
    			if (v + 2 == u) {
    				w[i][j][u] = w[i][j][v] = 0;
    			} else {
    				p[i][j][3] = p[i][j][1] = ++idx;
    				if ((i + j) % 2 == 0) addE(id(i, j), idx, 1, 0);
    				else addE(idx, id(i, j), 1, 0); 
    				p[i][j][2] = p[i][j][0] = ++idx;
    				if ((i + j) % 2 == 0) addE(id(i, j), idx, 1, 0);
    				else addE(idx, id(i, j), 1, 0); 
    				for (int k = 0; k < 4; k++)
    					w[i][j][k] = !(x >> k & 1);
    			}
    		} else if (o == 1) {
    			int v = 0;
    			while (!(x >> v & 1)) v++;
    			w[i][j][v] = 0;
    			w[i][j][(v + 1) % 4] = 1;
    			w[i][j][(v + 3) % 4] = 1;
    			w[i][j][(v + 2) % 4] = 2;
    		}
    	}
    }
    
    int z = 0;
    for (int i = 1; i <= n; i++) {
    	for (int j = 1; j <= m; j++) {
    		int c = (i + j) & 1, now = id(i, j);
    		z += num[i][j];
    		if (!c) {
    			addE(s, now, num[i][j], 0);
    			if (i > 1) {
    				int c = w[i][j][0] + w[i - 1][j][2];
    				if (c < INF) addE(p[i][j][0], p[i - 1][j][2], 1, c); //, cout << i << " " << j << " up " << c << endl;
    			}
    			if (i < n) {
    				int c = w[i][j][2] + w[i + 1][j][0];
    				if (c < INF) addE(p[i][j][2], p[i + 1][j][0], 1, c); //, cout << i << " " << j << " dw " << c << endl;
    			}
    			if (j > 1) {
    				int c = w[i][j][3] + w[i][j - 1][1];
    				if (c < INF) addE(p[i][j][3], p[i][j - 1][1], 1, c); //, cout << i << " " << j << " le " << c << endl;
    			}
    			if (j < m) {
    				int c = w[i][j][1] + w[i][j + 1][3];
    				if (c < INF) addE(p[i][j][1], p[i][j + 1][3], 1, c); //, cout << i << " " << j << " re " << c << endl;
    			}
    		} else {
    			addE(now, t, num[i][j], 0);
    		}
    	}
    }
    while (spfa()) update();
     //cout << z << "??" << maxflow << endl;
    if (z != maxflow * 2) puts("-1");
    else {
    	printf("%d\n", sum + cost);
    }
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 5
Accepted
time: 0ms
memory: 69400kb

input:

4 4
8 2 2 0
5 8 11 9
5 12 14 11
12 6 8 12

output:

17

result:

ok 1 number(s): "17"

Test #2:

score: 5
Accepted
time: 3ms
memory: 68000kb

input:

4 4
9 3 1 9
14 3 12 7
11 13 14 9
3 3 0 0

output:

16

result:

ok 1 number(s): "16"

Test #3:

score: 5
Accepted
time: 145ms
memory: 68904kb

input:

14 124
6 8 3 10 10 7 2 6 11 10 2 1 3 1 14 10 10 14 10 4 8 13 1 8 2 2 0 0 12 7 8 4 10 4 0 0 9 10 13 2 4 13 14 12 9 1 2 8 1 0 6 6 4 4 4 2 2 2 10 1 1 13 2 4 0 2 7 3 6 14 4 4 9 10 9 4 4 2 6 1 4 4 10 4 2 10 10 1 1 8 6 11 10 13 6 9 11 2 8 4 0 6 9 6 2 2 14 7 14 3 12 7 14 14 10 13 1 8 12 8 9 8 3 3
1 8 15 10...

output:

1272

result:

ok 1 number(s): "1272"

Test #4:

score: 5
Accepted
time: 105ms
memory: 71952kb

input:

13 113
0 1 11 12 2 3 11 11 14 4 1 6 8 0 1 1 8 8 8 1 0 0 0 12 12 0 1 8 0 0 2 6 9 11 1 0 8 3 0 9 4 4 0 2 6 13 12 4 9 6 6 4 0 0 12 7 1 3 4 0 0 0 2 3 8 2 0 0 6 10 14 2 6 11 4 2 0 9 13 10 7 9 2 12 10 12 0 3 3 2 0 0 2 4 0 0 6 10 14 6 3 11 14 10 4 4 3 10 9 2 14 4 0
3 10 12 9 15 15 7 5 4 2 14 12 6 8 8 9 3 6...

output:

1013

result:

ok 1 number(s): "1013"

Test #5:

score: 5
Accepted
time: 147ms
memory: 75716kb

input:

114 13
0 12 6 1 8 3 10 14 3 12 11 6 2
8 5 12 4 0 12 14 9 5 13 14 14 11
4 13 6 2 10 12 4 9 7 15 7 15 11
1 9 1 0 6 7 10 15 10 13 1 4 5
8 0 2 1 15 9 2 1 0 11 15 3 8
11 8 13 6 14 13 8 8 10 7 3 11 2
14 7 7 13 8 2 3 13 11 15 14 3 8
5 8 0 2 4 4 13 5 5 13 15 14 4
9 1 0 1 11 6 6 15 14 5 7 15 4
2 6 8 8 1 11 1...

output:

1100

result:

ok 1 number(s): "1100"

Test #6:

score: 5
Accepted
time: 99ms
memory: 75836kb

input:

103 14
0 0 4 8 9 11 9 6 2 4 2 0 9 8
1 1 5 11 14 12 14 11 0 5 11 10 15 9
5 6 11 5 9 10 11 15 12 4 4 0 1 5
11 10 15 13 5 1 10 15 14 1 4 6 9 5
14 13 15 6 12 10 14 15 7 1 1 13 13 5
5 13 15 4 2 10 3 5 0 2 9 10 15 12
3 15 14 3 4 2 0 7 6 5 13 13 13 3
1 11 4 12 4 9 10 12 8 5 8 6 10 7
4 12 3 10 14 15 7 14 10...

output:

1064

result:

ok 1 number(s): "1064"

Test #7:

score: 5
Accepted
time: 124ms
memory: 76004kb

input:

111 14
0 9 10 1 2 0 4 3 2 4 10 2 0 1
4 5 0 0 5 4 14 14 3 4 9 14 11 12
5 5 0 3 13 2 11 7 4 4 11 7 6 0
1 6 10 15 7 1 13 11 7 14 11 1 0 0
4 1 4 6 1 0 5 8 14 7 7 4 4 0
5 7 10 3 4 8 13 6 9 4 14 7 10 9
8 8 0 5 0 0 6 6 0 0 5 4 0 8
8 10 4 2 0 2 15 15 10 10 7 1 0 0
12 10 9 0 8 4 14 9 3 10 10 1 4 0
14 10 13 0...

output:

1143

result:

ok 1 number(s): "1143"

Test #8:

score: 5
Accepted
time: 81ms
memory: 69612kb

input:

13 100
0 0 9 12 3 1 1 7 8 0 9 12 8 2 3 1 0 3 12 0 8 6 2 1 12 6 0 9 9 6 10 13 2 12 7 12 4 9 10 4 8 8 6 10 3 0 4 12 10 7 6 9 11 13 13 10 6 6 3 1 6 4 8 12 14 12 8 2 1 11 2 0 2 7 8 0 9 12 1 8 2 0 12 8 0 2 6 1 14 10 14 14 2 2 12 10 12 4 1 1
0 0 5 5 2 1 6 11 0 9 11 12 8 1 11 15 14 15 15 2 4 12 8 9 11 15 8...

output:

971

result:

ok 1 number(s): "971"

Test #9:

score: 5
Accepted
time: 178ms
memory: 71616kb

input:

43 44
6 11 6 9 2 0 3 1 6 13 10 7 1 8 4 13 1 6 6 0 3 10 3 0 3 7 11 3 4 8 4 4 3 7 10 7 10 9 8 4 8 1 8 4
9 15 11 15 9 6 13 1 7 13 13 11 7 15 9 5 1 15 12 6 7 12 15 13 13 11 9 7 9 12 10 7 15 13 14 15 4 1 1 8 12 7 5 5
2 11 8 9 3 12 4 0 9 13 14 3 7 15 12 4 6 13 0 5 12 15 14 12 1 2 4 15 6 0 8 9 7 10 7 9 9 6...

output:

1351

result:

ok 1 number(s): "1351"

Test #10:

score: 5
Accepted
time: 192ms
memory: 71964kb

input:

44 44
1 8 0 0 2 8 1 0 0 9 10 12 0 12 11 3 8 14 4 3 11 2 0 2 4 1 9 8 12 9 9 1 0 12 9 2 10 10 10 10 3 0 1 8
1 0 0 4 11 12 2 1 0 1 9 15 2 14 15 15 10 11 3 13 15 1 0 0 0 0 11 14 11 13 15 10 7 15 15 14 10 10 10 4 4 0 9 9
14 1 6 15 7 5 2 9 10 1 5 13 2 9 15 12 1 1 7 7 7 9 4 14 10 9 1 12 7 14 14 13 14 15 11...

output:

1483

result:

ok 1 number(s): "1483"

Test #11:

score: 5
Accepted
time: 172ms
memory: 71636kb

input:

43 43
1 10 1 1 9 1 4 0 4 12 14 10 13 14 14 1 6 7 6 2 4 4 3 6 7 1 0 4 13 3 3 10 10 2 2 10 14 10 10 13 10 12 0
3 8 9 15 11 11 7 9 15 14 8 0 5 6 11 2 5 3 11 8 8 8 5 5 3 10 1 8 3 12 5 9 10 7 6 0 1 4 11 14 9 7 3
14 8 5 8 8 14 14 6 2 1 1 12 6 10 7 12 11 10 10 10 7 6 5 5 9 8 0 1 0 2 2 4 0 9 11 10 10 3 8 1 ...

output:

1330

result:

ok 1 number(s): "1330"

Test #12:

score: 5
Accepted
time: 162ms
memory: 70644kb

input:

42 42
8 14 13 10 14 6 0 0 2 12 10 8 8 6 6 1 0 0 1 3 1 10 10 10 10 13 9 1 10 12 6 7 14 8 8 2 7 2 4 0 9 1
2 11 11 8 14 3 2 3 11 8 2 1 5 14 15 15 10 10 3 6 8 12 10 2 12 14 15 10 13 15 13 2 5 6 7 1 3 12 1 12 14 0
0 11 15 10 15 10 15 15 13 7 7 6 11 15 15 7 1 2 12 10 9 6 9 0 7 7 14 4 11 14 9 1 6 7 10 8 4 ...

output:

1281

result:

ok 1 number(s): "1281"

Test #13:

score: 5
Accepted
time: 196ms
memory: 73716kb

input:

43 43
4 1 0 2 0 0 3 10 7 13 4 6 10 10 9 4 7 1 0 4 11 4 12 9 8 0 3 10 4 1 14 14 4 0 0 3 10 4 1 8 1 2 1
0 8 0 7 9 3 15 8 9 15 10 15 12 6 3 4 13 8 4 6 13 10 14 1 11 3 9 10 6 8 4 9 10 10 10 13 1 1 6 4 3 11 5
8 14 2 14 11 14 11 0 8 8 8 6 9 15 14 1 5 3 11 7 3 8 15 10 11 11 9 2 15 6 0 1 6 8 13 13 14 5 0 1 ...

output:

1368

result:

ok 1 number(s): "1368"

Test #14:

score: 5
Accepted
time: 190ms
memory: 72324kb

input:

42 44
4 12 6 2 2 1 6 10 14 7 4 2 1 0 1 14 10 1 3 9 8 8 4 0 2 4 9 2 4 8 3 0 4 8 10 13 8 9 2 9 8 0 4 1
2 3 11 4 5 5 8 2 11 15 6 9 13 8 2 7 8 0 2 5 3 13 10 14 10 4 11 13 12 0 5 12 6 0 12 6 9 14 2 4 0 9 11 4
0 0 5 2 6 5 6 12 12 7 5 1 3 2 0 3 14 0 8 13 2 9 9 2 9 4 5 13 11 4 1 14 9 3 6 3 14 3 7 14 8 5 3 1...

output:

1432

result:

ok 1 number(s): "1432"

Test #15:

score: 5
Accepted
time: 179ms
memory: 71612kb

input:

43 42
0 6 3 2 3 8 0 4 9 6 9 8 9 8 3 9 8 0 1 2 10 11 6 2 13 10 9 0 9 10 9 4 10 10 2 4 3 3 10 2 4 6
4 11 7 11 7 8 0 0 13 11 12 6 9 12 14 11 5 12 7 8 1 5 5 6 14 10 14 0 5 9 7 8 10 10 1 0 11 15 2 0 0 2
1 11 10 11 13 14 6 7 3 14 3 8 0 3 12 6 7 5 3 14 13 5 14 12 4 0 1 6 12 12 15 7 12 2 1 4 13 7 13 7 3 0
8...

output:

1357

result:

ok 1 number(s): "1357"

Test #16:

score: 5
Accepted
time: 205ms
memory: 72340kb

input:

44 43
8 11 10 13 10 10 13 10 10 7 8 0 6 2 12 10 10 2 9 4 9 10 1 1 8 14 11 8 8 1 6 8 8 1 3 3 4 3 10 10 14 6 2
0 5 1 5 2 10 14 11 11 15 6 2 14 9 8 12 8 0 5 4 13 11 2 12 12 8 4 0 9 3 4 2 0 0 14 15 2 12 10 10 3 7 12
9 15 11 6 8 10 11 6 5 13 12 0 8 5 6 9 0 8 11 12 11 13 14 12 6 10 10 11 9 5 9 7 3 9 2 4 2...

output:

1445

result:

ok 1 number(s): "1445"

Test #17:

score: 5
Accepted
time: 167ms
memory: 73680kb

input:

43 42
8 8 12 8 14 11 14 10 11 13 10 11 12 0 2 3 14 10 6 8 1 4 8 10 9 8 0 3 6 0 2 1 0 8 10 14 1 4 3 6 8 2
12 6 5 6 14 5 1 1 13 7 6 3 14 2 5 3 7 0 5 2 14 11 7 11 15 15 4 9 15 10 9 6 10 12 3 15 10 7 14 7 13 12
0 11 6 1 8 12 4 2 7 14 9 1 3 8 9 1 1 4 13 1 4 4 13 15 13 5 2 1 2 8 0 4 4 9 14 1 3 3 5 7 10 9
...

output:

1364

result:

ok 1 number(s): "1364"

Test #18:

score: 5
Accepted
time: 185ms
memory: 72100kb

input:

42 44
8 3 10 8 1 8 6 10 7 14 10 12 0 6 12 4 10 10 10 7 7 11 10 14 10 10 2 9 12 0 4 12 8 1 0 12 12 1 0 0 0 4 1 2
13 11 1 0 13 14 9 4 13 11 10 11 1 4 6 3 9 2 2 4 3 9 4 3 0 6 10 6 1 1 5 1 4 7 3 4 4 9 6 1 2 6 1 8
11 6 3 10 14 8 13 3 1 14 10 10 10 10 6 5 12 10 7 8 12 14 11 13 10 6 1 8 14 6 1 12 6 11 15 2...

output:

1399

result:

ok 1 number(s): "1399"

Test #19:

score: 5
Accepted
time: 162ms
memory: 71904kb

input:

43 42
4 0 0 2 2 6 12 1 4 6 10 10 10 10 4 0 0 8 2 8 6 12 0 0 6 6 3 12 4 1 6 8 4 6 3 10 6 4 8 8 11 3
5 0 0 12 14 9 3 15 15 11 9 1 4 12 1 2 3 10 11 7 11 13 6 8 6 9 12 15 1 0 5 3 10 6 3 11 14 0 8 8 5 2
5 0 0 5 9 1 0 5 4 5 1 4 6 4 4 9 9 13 15 14 13 15 9 6 13 10 12 3 6 8 3 12 8 1 0 8 12 6 0 0 13 3
5 3 14 ...

output:

1281

result:

ok 1 number(s): "1281"

Test #20:

score: 5
Accepted
time: 185ms
memory: 72428kb

input:

42 43
2 1 2 1 3 12 4 8 8 9 7 8 4 8 10 12 8 8 12 7 3 2 2 1 0 2 11 9 12 2 6 10 7 3 0 1 2 4 1 3 10 10 12
4 5 4 10 6 14 9 11 13 5 14 12 8 2 12 15 14 13 15 15 11 9 7 7 3 13 14 3 6 7 11 0 5 4 2 14 11 4 6 3 12 10 9
0 11 12 4 10 14 3 6 7 13 5 5 4 15 9 7 10 13 6 7 13 10 3 3 11 14 12 10 2 14 7 10 9 12 12 7 6 ...

output:

1319

result:

ok 1 number(s): "1319"

Extra Test:

score: 0
Extra Test Passed