Submission #526422

# Submission time Handle Problem Language Result Execution time Memory
526422 2022-02-14T17:55:18 Z benson1029 Sandcastle 2 (JOI22_ho_t5) C++14
100 / 100
1197 ms 7884 KB
#include<bits/stdc++.h>
using namespace std;

#pragma GCC target ("avx2")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops")

int h,w;
vector< vector<int> > v;
vector< vector<int> > psum[16];
vector< pair< int, pair<int,int> > > lst; 
int mxv;
int middle[500005], first[500005], last[500005];
map<int, int> mp;

int dx[4] = {0, 0, 1, -1};
int dy[4] = {1, -1, 0, 0};

bool ok(int x, int y) {
	return (x>=1&&x<=h&&y>=1&&y<=w);
}

int find(int id, int X1, int X2, int Y1, int Y2) {
	if(X1>X2 || Y1>Y2) return 0;
	return psum[id][X2][Y2] - psum[id][X1-1][Y2] - psum[id][X2][Y1-1] + psum[id][X1-1][Y1-1];
}

int main() {
	cin >> h >> w;
	if(h>w) {
		swap(h,w);
		v.resize(h+1);
		for(int i=0; i<=h; i++) v[i].resize(w+1);
		for(int i=0; i<16; i++) {
			psum[i].resize(h+1);
			for(int j=0; j<=h; j++) psum[i][j].resize(w+1);
		}
		for(int i=1; i<=w; i++) for(int j=1; j<=h; j++) {
			cin >> v[j][i];
			lst.push_back({v[j][i], {j, i} });
		}
	} else {
		v.resize(h+1);
		for(int i=0; i<=h; i++) v[i].resize(w+1);
		for(int i=0; i<16; i++) {
			psum[i].resize(h+1);
			for(int j=0; j<=h; j++) psum[i][j].resize(w+1);
		}
		for(int i=1; i<=h; i++) for(int j=1; j<=w; j++) {
			cin >> v[i][j];
			lst.push_back({v[i][j], {i, j} });
		}
	}
	sort(lst.begin(), lst.end());
	for(int i=0; i<lst.size(); i++) {
		v[lst[i].second.first][lst[i].second.second] = i+1;
	}
	for(int i=1; i<=h; i++) {
		for(int j=1; j<=w; j++) {
			for(int k=0; k<16; k++) {
				int lower = 0, mx = 1;
				for(int l=0; l<4; l++) {
					if((k>>l)%2) {
						if(ok(i+dx[l], j+dy[l]) && v[i+dx[l]][j+dy[l]]<v[i][j]) {
							lower = max(lower, v[i+dx[l]][j+dy[l]]);
						} else mx=0;
					}
				}
				if(mx == 1) psum[k][i][j] = h*w+1;
				else psum[k][i][j] = v[i][j];
				psum[k][i][j] -= lower;
			}
		}
	}
	for(int k=0; k<16; k++) {
		for(int i=1; i<=h; i++) {
			for(int j=1; j<=w; j++) {
				psum[k][i][j] += psum[k][i][j-1] + psum[k][i-1][j] - psum[k][i-1][j-1];
			}
		}
	}
	long long ans = 0;
	for(int X1=1; X1<=h; X1++) {
		for(int X2=X1+1; X2<=h; X2++) {
			for(int Y1=1; Y1<=w; Y1++) {
				first[Y1] = find(5, X1, X1, Y1, Y1) + find(13, X1+1, X2-1, Y1, Y1) + find(9, X2, X2, Y1, Y1);
				middle[Y1] = find(7, X1, X1, Y1, Y1) + find(15, X1+1, X2-1, Y1, Y1) + find(11, X2, X2, Y1, Y1);
				middle[Y1] += middle[Y1-1];
				last[Y1] = find(6, X1, X1, Y1, Y1) + find(14, X1+1, X2-1, Y1, Y1) + find(10, X2, X2, Y1, Y1);
			}
			mp.clear();
			for(int Y1=w; Y1>=1; Y1--) {
				ans += mp[h*w+1-first[Y1]+middle[Y1]];
				mp[middle[Y1-1] + last[Y1]]++;
			}
		}
	}
	for(int j=1; j<=h; j++) {
		bool rel; int prev = 1;
		for(int i=2; i<=w; i++) {
			bool curr;
			if(v[j][i] > v[j][i-1]) {
				curr = false;
			} else {
				curr = true;
			}
			if(i==2) rel = curr;
			if(curr != rel) {
				long long size = i-1-max(1, prev-1) + 1;
				ans += size*(size+1)/2 - 1;
				rel = curr;
				prev = i;
			}
		}
		long long size = w-max(1, prev-1)+1;
		ans += size*(size+1)/2;
	}
	for(int j=1; j<=w; j++) {
		bool rel; int prev = 1;
		for(int i=2; i<=h; i++) {
			bool curr;
			if(v[i][j] > v[i-1][j]) {
				curr = false;
			} else {
				curr = true;
			}
			if(i==2) rel = curr;
			if(curr != rel) {
				long long size = i-1-max(1, prev-1) + 1;
				ans += size*(size+1)/2 - 1;
				rel = curr;
				prev = i;
			}
		}
		long long size = h-max(1, prev-1)+1;
		ans += size*(size+1)/2;
	}
	cout << ans-h*w << "\n"; 
}

Compilation message

Main.cpp:5: warning: ignoring '#pragma GCC optimization' [-Wunknown-pragmas]
    5 | #pragma GCC optimization ("O3")
      | 
Main.cpp:6: warning: ignoring '#pragma GCC optimization' [-Wunknown-pragmas]
    6 | #pragma GCC optimization ("unroll-loops")
      | 
Main.cpp: In function 'int main()':
Main.cpp:55:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, std::pair<int, int> > >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   55 |  for(int i=0; i<lst.size(); i++) {
      |               ~^~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 29 ms 7884 KB Output is correct
3 Correct 33 ms 7644 KB Output is correct
4 Correct 31 ms 7816 KB Output is correct
5 Correct 31 ms 7836 KB Output is correct
6 Correct 38 ms 7856 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 2 ms 460 KB Output is correct
8 Correct 2 ms 460 KB Output is correct
9 Correct 7 ms 492 KB Output is correct
10 Correct 2 ms 456 KB Output is correct
11 Correct 2 ms 472 KB Output is correct
12 Correct 2 ms 472 KB Output is correct
13 Correct 7 ms 508 KB Output is correct
14 Correct 4 ms 436 KB Output is correct
15 Correct 5 ms 472 KB Output is correct
16 Correct 5 ms 496 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 2 ms 460 KB Output is correct
8 Correct 2 ms 460 KB Output is correct
9 Correct 7 ms 492 KB Output is correct
10 Correct 2 ms 456 KB Output is correct
11 Correct 2 ms 472 KB Output is correct
12 Correct 2 ms 472 KB Output is correct
13 Correct 7 ms 508 KB Output is correct
14 Correct 4 ms 436 KB Output is correct
15 Correct 5 ms 472 KB Output is correct
16 Correct 5 ms 496 KB Output is correct
17 Correct 6 ms 1368 KB Output is correct
18 Correct 31 ms 972 KB Output is correct
19 Correct 12 ms 1012 KB Output is correct
20 Correct 12 ms 972 KB Output is correct
21 Correct 34 ms 972 KB Output is correct
22 Correct 46 ms 1000 KB Output is correct
23 Correct 48 ms 992 KB Output is correct
24 Correct 39 ms 924 KB Output is correct
25 Correct 47 ms 972 KB Output is correct
26 Correct 48 ms 996 KB Output is correct
27 Correct 47 ms 972 KB Output is correct
28 Correct 47 ms 972 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 2 ms 460 KB Output is correct
8 Correct 2 ms 460 KB Output is correct
9 Correct 7 ms 492 KB Output is correct
10 Correct 2 ms 456 KB Output is correct
11 Correct 2 ms 472 KB Output is correct
12 Correct 2 ms 472 KB Output is correct
13 Correct 7 ms 508 KB Output is correct
14 Correct 4 ms 436 KB Output is correct
15 Correct 5 ms 472 KB Output is correct
16 Correct 5 ms 496 KB Output is correct
17 Correct 6 ms 1368 KB Output is correct
18 Correct 31 ms 972 KB Output is correct
19 Correct 12 ms 1012 KB Output is correct
20 Correct 12 ms 972 KB Output is correct
21 Correct 34 ms 972 KB Output is correct
22 Correct 46 ms 1000 KB Output is correct
23 Correct 48 ms 992 KB Output is correct
24 Correct 39 ms 924 KB Output is correct
25 Correct 47 ms 972 KB Output is correct
26 Correct 48 ms 996 KB Output is correct
27 Correct 47 ms 972 KB Output is correct
28 Correct 47 ms 972 KB Output is correct
29 Correct 29 ms 7884 KB Output is correct
30 Correct 276 ms 4556 KB Output is correct
31 Correct 849 ms 4680 KB Output is correct
32 Correct 30 ms 6220 KB Output is correct
33 Correct 186 ms 4596 KB Output is correct
34 Correct 727 ms 4652 KB Output is correct
35 Correct 458 ms 3084 KB Output is correct
36 Correct 696 ms 4552 KB Output is correct
37 Correct 1179 ms 4552 KB Output is correct
38 Correct 1197 ms 4552 KB Output is correct
39 Correct 1103 ms 4588 KB Output is correct
40 Correct 1123 ms 4552 KB Output is correct
41 Correct 1099 ms 4552 KB Output is correct
42 Correct 1054 ms 4564 KB Output is correct
43 Correct 1060 ms 4552 KB Output is correct
44 Correct 1069 ms 4552 KB Output is correct