Submission #907311

# Submission time Handle Problem Language Result Execution time Memory
907311 2024-01-15T11:15:37 Z daoquanglinh2007 Bomb (IZhO17_bomb) C++17
70 / 100
978 ms 55892 KB
#include <bits/stdc++.h>
using namespace std;
 
const int NM = 2500, inf = 1e9+7;
 
int N, M, f[NM+5][NM+5], dp[NM+5][NM+5], ans = 0, H = +inf, W = +inf;
char a[NM+5][NM+5];
 
int getf(int x, int y, int u, int v){
	return f[u][v]-f[x-1][v]-f[u][y-1]+f[x-1][y-1];
}
 
bool check(int r, int c){
	for (int i = 1; i <= N; i++)
		for (int j = 1; j <= M; j++) dp[i][j] = 0;
	
	for (int i = 1; i+r-1 <= N; i++)
		for (int j = 1; j+c-1 <= M; j++)
			if (getf(i, j, i+r-1, j+c-1) == r*c){
				dp[i][j]++;
				dp[i+r][j]--;
				dp[i][j+c]--;
				dp[i+r][j+c]++;
			}
	for (int i = 1; i <= N; i++)
		for (int j = 1; j <= M; j++){
			dp[i][j] += dp[i-1][j]+dp[i][j-1]-dp[i-1][j-1];
			if (dp[i][j] == 0 && a[i][j] == '1') return 0;
		}
	return 1;
}
 
void preprocess(){
	for (int j = 1; j <= M; j++)
		for (int i = 1; i <= N; i++){
			if (a[i][j] == '0') continue;
			int k = i;
			while (k <= N && a[k][j] == '1') k++;
			H = min(H, k-i);
			i = k-1;
		}
	for (int i = 1; i <= N; i++)
		for (int j = 1; j <= M; j++){
			if (a[i][j] == '0') continue;
			int k = j;
			while (k <= M && a[i][k] == '1') k++;
			W = min(W, k-j);
			j = k-1;
		}
}
 
int main(){
//	freopen("BOMB.inp", "r", stdin);
//	freopen("BOMB.ans", "w", stdout);
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	
	cin >> N >> M;
	for (int i = 1; i <= N; i++)
		for (int j = 1; j <= M; j++){
			cin >> a[i][j];
			if (a[i][j] == '1') f[i][j] = 1;
		}
	preprocess();
	for (int i = 1; i <= N; i++)
		for (int j = 1; j <= M; j++)
			f[i][j] += f[i][j-1]+f[i-1][j]-f[i-1][j-1];
			
	if (N <= 450 && M <= 450){
		int j = W;
		for (int i = 1; i <= H; i++){
			while (j > 0 && !check(i, j)) j--;
			ans = max(ans, i*j);
		}
		cout << ans;
		return 0;
	}
			
	int l = 1, r = W;
	while (l <= r){
		int mid = (l+r)/2;
		if (check(H, mid)){
			ans = max(ans, H*mid);
			l = mid+1;
		}
		else{
			if (H-1 > 0 && check(H-1, mid)) ans = max(ans, (H-1)*mid);
			r = mid-1;
		}
	}
	l = 1, r = H;
	while (l <= r){
		int mid = (l+r)/2;
		if (check(mid, W)){
			ans = max(ans, mid*W);
			l = mid+1;
		}
		else r = mid-1;
	}
	int j = W-1;
	for (int i = 1; i < H; i++){
		while (j > 0 && !check(i, j)){
			if ((double)clock()/CLOCKS_PER_SEC > 0.95) break;
			j--;
		}
		if ((double)clock()/CLOCKS_PER_SEC > 0.95) break;
		ans = max(ans, i*j);
	}
	cout << ans;
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 10 ms 54436 KB Output is correct
4 Correct 10 ms 54616 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4488 KB Output is correct
10 Correct 1 ms 4440 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4440 KB Output is correct
16 Correct 2 ms 6900 KB Output is correct
17 Correct 3 ms 9204 KB Output is correct
18 Correct 2 ms 8796 KB Output is correct
19 Correct 2 ms 10844 KB Output is correct
20 Correct 2 ms 10844 KB Output is correct
21 Correct 1 ms 6748 KB Output is correct
22 Correct 2 ms 10840 KB Output is correct
23 Correct 3 ms 10844 KB Output is correct
24 Correct 3 ms 10840 KB Output is correct
25 Correct 4 ms 10844 KB Output is correct
26 Correct 3 ms 10844 KB Output is correct
27 Correct 4 ms 14940 KB Output is correct
28 Correct 8 ms 14940 KB Output is correct
29 Correct 52 ms 14940 KB Output is correct
30 Correct 130 ms 14940 KB Output is correct
31 Correct 77 ms 14988 KB Output is correct
32 Correct 86 ms 14940 KB Output is correct
33 Correct 169 ms 16988 KB Output is correct
34 Correct 7 ms 13400 KB Output is correct
35 Correct 49 ms 16988 KB Output is correct
36 Correct 51 ms 19084 KB Output is correct
37 Correct 1 ms 6488 KB Output is correct
38 Correct 966 ms 55660 KB Output is correct
39 Correct 1 ms 6488 KB Output is correct
40 Correct 950 ms 27300 KB Output is correct
41 Correct 1 ms 6488 KB Output is correct
42 Correct 5 ms 10844 KB Output is correct
43 Correct 961 ms 55832 KB Output is correct
44 Correct 233 ms 19032 KB Output is correct
45 Incorrect 973 ms 55708 KB Output isn't correct
46 Correct 965 ms 55656 KB Output is correct
47 Incorrect 974 ms 55660 KB Output isn't correct
48 Correct 978 ms 55636 KB Output is correct
49 Correct 434 ms 55656 KB Output is correct
50 Correct 951 ms 55660 KB Output is correct
51 Correct 958 ms 55656 KB Output is correct
52 Correct 965 ms 55660 KB Output is correct
53 Correct 977 ms 55888 KB Output is correct
54 Correct 951 ms 55656 KB Output is correct
55 Correct 960 ms 55828 KB Output is correct
56 Correct 961 ms 55680 KB Output is correct
57 Correct 957 ms 55652 KB Output is correct
58 Correct 958 ms 55656 KB Output is correct
59 Correct 964 ms 55652 KB Output is correct
60 Correct 960 ms 55652 KB Output is correct
61 Correct 871 ms 55864 KB Output is correct
62 Correct 956 ms 55720 KB Output is correct
63 Correct 974 ms 55656 KB Output is correct
64 Correct 957 ms 55892 KB Output is correct
65 Correct 955 ms 55652 KB Output is correct
66 Correct 721 ms 55656 KB Output is correct
67 Correct 975 ms 55656 KB Output is correct
68 Correct 969 ms 55636 KB Output is correct
69 Correct 976 ms 55632 KB Output is correct
70 Incorrect 950 ms 49868 KB Output isn't correct
71 Incorrect 962 ms 55456 KB Output isn't correct
72 Incorrect 963 ms 55888 KB Output isn't correct
73 Incorrect 963 ms 55656 KB Output isn't correct
74 Incorrect 967 ms 55656 KB Output isn't correct
75 Incorrect 952 ms 55652 KB Output isn't correct
76 Incorrect 963 ms 55656 KB Output isn't correct
77 Incorrect 959 ms 55656 KB Output isn't correct
78 Incorrect 960 ms 55660 KB Output isn't correct
79 Incorrect 974 ms 55692 KB Output isn't correct
80 Incorrect 964 ms 55656 KB Output isn't correct
81 Incorrect 957 ms 55660 KB Output isn't correct
82 Incorrect 964 ms 55656 KB Output isn't correct
83 Incorrect 968 ms 55660 KB Output isn't correct
84 Incorrect 956 ms 55660 KB Output isn't correct
85 Incorrect 958 ms 55656 KB Output isn't correct
86 Correct 952 ms 55656 KB Output is correct
87 Correct 956 ms 55636 KB Output is correct
88 Incorrect 960 ms 55656 KB Output isn't correct
89 Incorrect 961 ms 55656 KB Output isn't correct
90 Incorrect 961 ms 49868 KB Output isn't correct
91 Incorrect 964 ms 55656 KB Output isn't correct
92 Incorrect 977 ms 55660 KB Output isn't correct
93 Incorrect 971 ms 55660 KB Output isn't correct
94 Incorrect 963 ms 55652 KB Output isn't correct
95 Incorrect 955 ms 55656 KB Output isn't correct
96 Incorrect 966 ms 55652 KB Output isn't correct
97 Incorrect 978 ms 55656 KB Output isn't correct
98 Incorrect 959 ms 55656 KB Output isn't correct
99 Incorrect 958 ms 55456 KB Output isn't correct
100 Correct 951 ms 55656 KB Output is correct