Submission #154556

# Submission time Handle Problem Language Result Execution time Memory
154556 2019-09-22T17:29:17 Z liwi Rectangles (IOI19_rect) C++14
72 / 100
5000 ms 931028 KB
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("sse4,popcnt,abm,mmx,tune=native")

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;
typedef tree<int, null_type, less<int>, rb_tree_tag,tree_order_statistics_node_update> ordered_set;

#define scan(x) do{while((x=getchar())<'0'); for(x-='0'; '0'<=(_=getchar()); x=(x<<3)+(x<<1)+_-'0');}while(0)
char _;
#define complete_unique(a) a.erase(unique(a.begin(),a.end()),a.end())
#define all(a) a.begin(),a.end()
#define println printf("\n");
#define readln(x) getline(cin,x);
#define pb push_back
#define endl "\n"
#define INT_INF 0x3f3f3f3f
#define LL_INF 0x3f3f3f3f3f3f3f3f
#define MOD 1000000007
#define MOD2 1494318097
#define SEED 131
#define mp make_pair
#define fastio cin.tie(0); cin.sync_with_stdio(0);

#define MAXN 2501

typedef unsigned long long ull;
typedef long long ll;
typedef long double ld;
typedef unordered_map<int,int> umii;
typedef pair<int,int> pii;
typedef pair<double,double> pdd;
typedef pair<ll,ll> pll;
typedef pair<int,pii> triple;
typedef int8_t byte;

mt19937 g1(time(0));

int randint(int a, int b){return uniform_int_distribution<int>(a, b)(g1);}
ll randlong(ll a,ll b){return uniform_int_distribution<long long>(a, b)(g1);}

ll gcd(ll a, ll b){return b == 0 ? a : gcd(b, a % b);}
ll lcm(ll a, ll b){return a*b/gcd(a,b);}
ll fpow(ll  b, ll exp, ll mod){if(exp == 0) return 1;ll t = fpow(b,exp/2,mod);if(exp&1) return t*t%mod*b%mod;return t*t%mod;}
ll divmod(ll i, ll j, ll mod){i%=mod,j%=mod;return i*fpow(j,mod-2,mod)%mod;}

int num_rows,num_cols,arr[MAXN][MAXN],bit[MAXN],cnt[MAXN][MAXN],ans,l,r,lst[MAXN][MAXN];
vector<pii> row_dp[MAXN][MAXN],col_dp[MAXN][MAXN];
pii dq[MAXN];
//vector<pii> rows[MAXN],cols[MAXN];
//vector<int> h_segs[MAXN][MAXN],v_segs[MAXN][MAXN];
//vector<int> r_range[MAXN][MAXN],v_range[MAXN][MAXN];

inline void update(int pos, int val){
	for(int i=pos; i<=num_cols; i+=i&-i)
		bit[i]+=val;
}

inline int query(int pos){
	int res = 0;
	for(int i=pos; i>0; i-=i&-i)
		res+=bit[i];
	return res;
}

inline void init_rows(){
//	memset(cnt,0,sizeof cnt);
	for(int i=2; i<num_rows; i++){
		l = 1, r = 0;
		for(int k=1; k<=num_cols; k++){
			while(r-l+1 > 0 && dq[r].first < arr[i][k]) r--;
			int lft = (r-l+1>0?dq[r].second:INT_INF);
			if(lft < k-1 && (row_dp[lft+1][k-1].empty() || row_dp[lft+1][k-1].back().first != i))
				row_dp[lft+1][k-1].emplace_back(i,i), cnt[lft+1][k-1]++; //rows[i].pb(mp(lft+1,k-1));
			while(r-l+1 > 0 && dq[r].first == arr[i][k]) r--;
			dq[++r] = mp(arr[i][k],k);
		}
		l = 1, r = 0;
		for(int k=num_cols; k>=1; k--){
			while(r-l+1 > 0 && dq[r].first < arr[i][k]) r--;
			int rgt = (r-l+1>0?dq[r].second:-INT_INF);
			if(rgt > k+1 && (row_dp[k+1][rgt-1].empty() || row_dp[k+1][rgt-1].back().first != i))
				row_dp[k+1][rgt-1].emplace_back(i,i), cnt[k+1][rgt-1]++; //rows[i].pb(mp(k+1,rgt-1));
			while(r-l+1 > 0 && dq[r].first == arr[i][k]) r--;
			dq[++r] = mp(arr[i][k],k);
		}
	}
}

inline void init_cols(){
	memset(cnt,0,sizeof cnt);
	for(int i=2; i<num_cols; i++){
		l = 1, r = 0;
		for(int k=1; k<=num_rows; k++){
			while(r-l+1 > 0 && dq[r].first < arr[k][i]) r--;
			int lft = (r-l+1>0?dq[r].second:INT_INF);
			if(lft < k-1 && (col_dp[lft+1][k-1].empty() || col_dp[lft+1][k-1].back().first != i))
				col_dp[lft+1][k-1].emplace_back(i,i), cnt[lft+1][k-1]++; //cols[i].pb(mp(lft+1,k-1));
			while(r-l+1 > 0 && dq[r].first == arr[k][i]) r--;
			dq[++r] = mp(arr[k][i],k);
		}
		l = 1, r = 0;
		for(int k=num_rows; k>=1; k--){
			while(r-l+1 > 0 && dq[r].first < arr[k][i]) r--;
			int rgt = (r-l+1>0?dq[r].second:-INT_INF);
			if(rgt > k+1 && (col_dp[k+1][rgt-1].empty() || col_dp[k+1][rgt-1].back().first != i))
				col_dp[k+1][rgt-1].emplace_back(i,i), cnt[k+1][rgt-1]++; //cols[i].pb(mp(k+1,rgt-1));
			while(r-l+1 > 0 && dq[r].first == arr[k][i]) r--;
			dq[++r] = mp(arr[k][i],k);
		}
	}
}

inline void calc_hor_dp(){
//	for(int i=2; i<num_rows; i++){
//		sort(all(rows[i])); complete_unique(rows[i]);
//		for(pii check:rows[i]){
//			h_segs[check.first][check.second].pb(i);
////			r_range[i][check.first].pb(check.second);
//		}
//		rows[i].clear();
//	}
	vector<pair<pii,int>> dep[MAXN];
	for(int l=2; l<=num_cols-1; l++){
		for(int r=l; r<=num_cols-1; r++){
			if(cnt[l][r] == 0) continue;
//			vector<pii> &nums = row_dp[l][r];
//			sort(all(nums)); complete_unique(nums);
//			vector<pii> t;
			int lst = 0;
			for(int i=1; i<cnt[l][r]; i++){
				if(row_dp[l][r][i].first == row_dp[l][r][i-1].first+1) continue;
				for(int k=row_dp[l][r][lst].first; k<=row_dp[l][r][i-1].first; k++)
					dep[row_dp[l][r][i-1].first-k+1].emplace_back(mp(k,l),r);
//					row_dp[k][l].pb(mp(nums[i-1].first-k+1,r));
				lst = i;
			}
			for(int k=row_dp[l][r][lst].first; k<=row_dp[l][r][cnt[l][r]-1].first; k++)
				dep[row_dp[l][r][cnt[l][r]-1].first-k+1].emplace_back(mp(k,l),r);
//				row_dp[k][l].pb(mp(nums[cnt[l][r]-1].first-k+1,r));
			row_dp[l][r].clear();
		}
	}
	for(int i=1; i<=num_rows; i++){
		for(auto &check:dep[i])
			row_dp[check.first.first][check.first.second].emplace_back(i,check.second);
	}
//	for(int l=2; l<=num_cols-1; l++){
//		for(int r=l; r<=num_cols-1; r++){
//			reverse(all(row_dp[l][r]));
//			while(cnt[l][r]--) row_dp[l][r].pop_back();
//			reverse(all(row_dp[l][r]));
//		}
//	}
}

inline void calc_col_dp(){
//	for(int i=2; i<num_cols; i++){
//		sort(all(cols[i])); complete_unique(cols[i]);
//		for(pii check:cols[i]){
//			v_segs[check.first][check.second].pb(i);
////			v_range[check.first][i].pb(check.second);
//		}
//		cols[i].clear();
//	}
	for(int l=2; l<=num_rows-1; l++){
		for(int r=l; r<=num_rows-1; r++){
			if(cnt[l][r] == 0) continue;
//			vector<pii> &nums = col_dp[l][r];
//			sort(all(nums)); complete_unique(nums);
			int lst = 0;
			for(int i=1; i<cnt[l][r]; i++){
				if(col_dp[l][r][i].first == col_dp[l][r][i-1].first+1) continue;
				for(int k=col_dp[l][r][lst].first; k<=col_dp[l][r][i-1].first; k++)
					col_dp[l][k].emplace_back(r,col_dp[l][r][i-1].first);
				lst = i;
			}
			for(int k=col_dp[l][r][lst].first; k<=col_dp[l][r][cnt[l][r]-1].first; k++)
				col_dp[l][k].emplace_back(r,col_dp[l][r][cnt[l][r]-1].first);
		}
	}
//	for(int l=2; l<=num_cols-1; l++){
//		for(int r=l; r<=num_cols-1; r++){
//			reverse(all(col_dp[l][r]));
//			while(cnt[l][r]--) col_dp[l][r].pop_back();
//			reverse(all(col_dp[l][r]));
//		}
//	}
}

ll count_rectangles(vector<vector<int>> a){
	ans = 0, num_rows = (int)a.size(), num_cols = (int)a[0].size();
	for(int i=0; i<a.size(); i++)
		for(int k=0; k<a[i].size(); k++)
			arr[i+1][k+1] = a[i][k];
	init_rows(); calc_hor_dp();
	init_cols(); calc_col_dp();
	for(int i=num_rows-1; i>=2; i--){
		for(int k=num_cols-1; k>=2; k--){
//			sort(all(row_dp[i][k]));
//			sort(all(col_dp[i][k]));
			int ptr = cnt[i][k], res = 0, cc = 0;
			for(int v=0; v<row_dp[i][k].size(); v++){
//				pii curr = row_dp[i][k][v];
				while(ptr < col_dp[i][k].size() && col_dp[i][k][ptr].first-i+1 <= row_dp[i][k][v].first){
//					assert(col_dp[i][k][ptr].second>=k);
					update(col_dp[i][k][ptr].second-k+1,1);
					ptr++, cc++;
				}
				res+=cc-query(row_dp[i][k][v].second-k);
			}
			while(--ptr >= cnt[i][k]) update(col_dp[i][k][ptr].second-k+1,-1);
			ans+=res;
		}
	}
	return ans;
}

Compilation message

rect.cpp: In function 'll count_rectangles(std::vector<std::vector<int> >)':
rect.cpp:197:16: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i=0; i<a.size(); i++)
               ~^~~~~~~~~
rect.cpp:198:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int k=0; k<a[i].size(); k++)
                ~^~~~~~~~~~~~
rect.cpp:207:18: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    for(int v=0; v<row_dp[i][k].size(); v++){
                 ~^~~~~~~~~~~~~~~~~~~~
rect.cpp:209:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     while(ptr < col_dp[i][k].size() && col_dp[i][k][ptr].first-i+1 <= row_dp[i][k][v].first){
           ~~~~^~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 310 ms 318812 KB Output is correct
2 Correct 309 ms 318840 KB Output is correct
3 Correct 334 ms 318968 KB Output is correct
4 Correct 309 ms 318852 KB Output is correct
5 Correct 327 ms 318908 KB Output is correct
6 Correct 318 ms 318912 KB Output is correct
7 Correct 308 ms 318808 KB Output is correct
8 Correct 339 ms 318720 KB Output is correct
9 Correct 309 ms 318812 KB Output is correct
10 Correct 309 ms 318804 KB Output is correct
11 Correct 307 ms 319096 KB Output is correct
12 Correct 308 ms 318892 KB Output is correct
13 Correct 307 ms 318708 KB Output is correct
14 Correct 309 ms 318680 KB Output is correct
15 Correct 309 ms 318712 KB Output is correct
16 Correct 309 ms 318704 KB Output is correct
17 Correct 307 ms 318812 KB Output is correct
18 Correct 308 ms 318640 KB Output is correct
19 Correct 310 ms 318820 KB Output is correct
20 Correct 322 ms 318840 KB Output is correct
21 Correct 358 ms 318768 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 310 ms 318812 KB Output is correct
2 Correct 309 ms 318840 KB Output is correct
3 Correct 334 ms 318968 KB Output is correct
4 Correct 309 ms 318852 KB Output is correct
5 Correct 327 ms 318908 KB Output is correct
6 Correct 318 ms 318912 KB Output is correct
7 Correct 308 ms 318808 KB Output is correct
8 Correct 339 ms 318720 KB Output is correct
9 Correct 309 ms 318812 KB Output is correct
10 Correct 309 ms 318804 KB Output is correct
11 Correct 307 ms 319096 KB Output is correct
12 Correct 308 ms 318892 KB Output is correct
13 Correct 307 ms 318708 KB Output is correct
14 Correct 309 ms 318680 KB Output is correct
15 Correct 309 ms 318712 KB Output is correct
16 Correct 309 ms 318704 KB Output is correct
17 Correct 317 ms 319600 KB Output is correct
18 Correct 321 ms 319772 KB Output is correct
19 Correct 313 ms 319708 KB Output is correct
20 Correct 309 ms 319324 KB Output is correct
21 Correct 319 ms 319452 KB Output is correct
22 Correct 311 ms 319380 KB Output is correct
23 Correct 312 ms 319352 KB Output is correct
24 Correct 310 ms 319224 KB Output is correct
25 Correct 307 ms 318812 KB Output is correct
26 Correct 308 ms 318640 KB Output is correct
27 Correct 310 ms 318820 KB Output is correct
28 Correct 322 ms 318840 KB Output is correct
29 Correct 358 ms 318768 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 310 ms 318812 KB Output is correct
2 Correct 309 ms 318840 KB Output is correct
3 Correct 334 ms 318968 KB Output is correct
4 Correct 309 ms 318852 KB Output is correct
5 Correct 327 ms 318908 KB Output is correct
6 Correct 318 ms 318912 KB Output is correct
7 Correct 308 ms 318808 KB Output is correct
8 Correct 339 ms 318720 KB Output is correct
9 Correct 309 ms 318812 KB Output is correct
10 Correct 309 ms 318804 KB Output is correct
11 Correct 307 ms 319096 KB Output is correct
12 Correct 308 ms 318892 KB Output is correct
13 Correct 307 ms 318708 KB Output is correct
14 Correct 309 ms 318680 KB Output is correct
15 Correct 309 ms 318712 KB Output is correct
16 Correct 309 ms 318704 KB Output is correct
17 Correct 317 ms 319600 KB Output is correct
18 Correct 321 ms 319772 KB Output is correct
19 Correct 313 ms 319708 KB Output is correct
20 Correct 309 ms 319324 KB Output is correct
21 Correct 319 ms 319452 KB Output is correct
22 Correct 311 ms 319380 KB Output is correct
23 Correct 312 ms 319352 KB Output is correct
24 Correct 310 ms 319224 KB Output is correct
25 Correct 323 ms 323432 KB Output is correct
26 Correct 327 ms 323344 KB Output is correct
27 Correct 325 ms 323580 KB Output is correct
28 Correct 322 ms 321188 KB Output is correct
29 Correct 338 ms 322320 KB Output is correct
30 Correct 373 ms 322596 KB Output is correct
31 Correct 354 ms 322428 KB Output is correct
32 Correct 330 ms 322284 KB Output is correct
33 Correct 307 ms 318812 KB Output is correct
34 Correct 308 ms 318640 KB Output is correct
35 Correct 310 ms 318820 KB Output is correct
36 Correct 322 ms 318840 KB Output is correct
37 Correct 358 ms 318768 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 310 ms 318812 KB Output is correct
2 Correct 309 ms 318840 KB Output is correct
3 Correct 334 ms 318968 KB Output is correct
4 Correct 309 ms 318852 KB Output is correct
5 Correct 327 ms 318908 KB Output is correct
6 Correct 318 ms 318912 KB Output is correct
7 Correct 308 ms 318808 KB Output is correct
8 Correct 339 ms 318720 KB Output is correct
9 Correct 309 ms 318812 KB Output is correct
10 Correct 309 ms 318804 KB Output is correct
11 Correct 307 ms 319096 KB Output is correct
12 Correct 308 ms 318892 KB Output is correct
13 Correct 307 ms 318708 KB Output is correct
14 Correct 309 ms 318680 KB Output is correct
15 Correct 309 ms 318712 KB Output is correct
16 Correct 309 ms 318704 KB Output is correct
17 Correct 317 ms 319600 KB Output is correct
18 Correct 321 ms 319772 KB Output is correct
19 Correct 313 ms 319708 KB Output is correct
20 Correct 309 ms 319324 KB Output is correct
21 Correct 319 ms 319452 KB Output is correct
22 Correct 311 ms 319380 KB Output is correct
23 Correct 312 ms 319352 KB Output is correct
24 Correct 310 ms 319224 KB Output is correct
25 Correct 323 ms 323432 KB Output is correct
26 Correct 327 ms 323344 KB Output is correct
27 Correct 325 ms 323580 KB Output is correct
28 Correct 322 ms 321188 KB Output is correct
29 Correct 338 ms 322320 KB Output is correct
30 Correct 373 ms 322596 KB Output is correct
31 Correct 354 ms 322428 KB Output is correct
32 Correct 330 ms 322284 KB Output is correct
33 Correct 495 ms 352516 KB Output is correct
34 Correct 468 ms 351536 KB Output is correct
35 Correct 497 ms 351504 KB Output is correct
36 Correct 413 ms 350628 KB Output is correct
37 Correct 519 ms 371380 KB Output is correct
38 Correct 511 ms 371288 KB Output is correct
39 Correct 518 ms 371448 KB Output is correct
40 Correct 507 ms 368396 KB Output is correct
41 Correct 429 ms 338648 KB Output is correct
42 Correct 473 ms 342860 KB Output is correct
43 Correct 636 ms 356928 KB Output is correct
44 Correct 680 ms 357816 KB Output is correct
45 Correct 473 ms 340424 KB Output is correct
46 Correct 475 ms 338952 KB Output is correct
47 Correct 613 ms 355724 KB Output is correct
48 Correct 624 ms 353552 KB Output is correct
49 Correct 307 ms 318812 KB Output is correct
50 Correct 308 ms 318640 KB Output is correct
51 Correct 310 ms 318820 KB Output is correct
52 Correct 322 ms 318840 KB Output is correct
53 Correct 358 ms 318768 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 321 ms 319104 KB Output is correct
2 Correct 319 ms 319120 KB Output is correct
3 Correct 318 ms 318840 KB Output is correct
4 Correct 310 ms 318712 KB Output is correct
5 Correct 320 ms 319096 KB Output is correct
6 Correct 372 ms 319028 KB Output is correct
7 Correct 323 ms 318940 KB Output is correct
8 Correct 331 ms 318968 KB Output is correct
9 Correct 326 ms 318968 KB Output is correct
10 Correct 320 ms 318704 KB Output is correct
11 Correct 324 ms 318840 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 306 ms 318772 KB Output is correct
2 Correct 1136 ms 417000 KB Output is correct
3 Correct 2257 ms 528844 KB Output is correct
4 Correct 2309 ms 529852 KB Output is correct
5 Correct 2257 ms 530236 KB Output is correct
6 Correct 457 ms 355448 KB Output is correct
7 Correct 617 ms 389588 KB Output is correct
8 Correct 640 ms 392668 KB Output is correct
9 Correct 307 ms 318812 KB Output is correct
10 Correct 308 ms 318640 KB Output is correct
11 Correct 310 ms 318820 KB Output is correct
12 Correct 322 ms 318840 KB Output is correct
13 Correct 358 ms 318768 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 310 ms 318812 KB Output is correct
2 Correct 309 ms 318840 KB Output is correct
3 Correct 334 ms 318968 KB Output is correct
4 Correct 309 ms 318852 KB Output is correct
5 Correct 327 ms 318908 KB Output is correct
6 Correct 318 ms 318912 KB Output is correct
7 Correct 308 ms 318808 KB Output is correct
8 Correct 339 ms 318720 KB Output is correct
9 Correct 309 ms 318812 KB Output is correct
10 Correct 309 ms 318804 KB Output is correct
11 Correct 307 ms 319096 KB Output is correct
12 Correct 308 ms 318892 KB Output is correct
13 Correct 307 ms 318708 KB Output is correct
14 Correct 309 ms 318680 KB Output is correct
15 Correct 309 ms 318712 KB Output is correct
16 Correct 309 ms 318704 KB Output is correct
17 Correct 317 ms 319600 KB Output is correct
18 Correct 321 ms 319772 KB Output is correct
19 Correct 313 ms 319708 KB Output is correct
20 Correct 309 ms 319324 KB Output is correct
21 Correct 319 ms 319452 KB Output is correct
22 Correct 311 ms 319380 KB Output is correct
23 Correct 312 ms 319352 KB Output is correct
24 Correct 310 ms 319224 KB Output is correct
25 Correct 323 ms 323432 KB Output is correct
26 Correct 327 ms 323344 KB Output is correct
27 Correct 325 ms 323580 KB Output is correct
28 Correct 322 ms 321188 KB Output is correct
29 Correct 338 ms 322320 KB Output is correct
30 Correct 373 ms 322596 KB Output is correct
31 Correct 354 ms 322428 KB Output is correct
32 Correct 330 ms 322284 KB Output is correct
33 Correct 495 ms 352516 KB Output is correct
34 Correct 468 ms 351536 KB Output is correct
35 Correct 497 ms 351504 KB Output is correct
36 Correct 413 ms 350628 KB Output is correct
37 Correct 519 ms 371380 KB Output is correct
38 Correct 511 ms 371288 KB Output is correct
39 Correct 518 ms 371448 KB Output is correct
40 Correct 507 ms 368396 KB Output is correct
41 Correct 429 ms 338648 KB Output is correct
42 Correct 473 ms 342860 KB Output is correct
43 Correct 636 ms 356928 KB Output is correct
44 Correct 680 ms 357816 KB Output is correct
45 Correct 473 ms 340424 KB Output is correct
46 Correct 475 ms 338952 KB Output is correct
47 Correct 613 ms 355724 KB Output is correct
48 Correct 624 ms 353552 KB Output is correct
49 Correct 321 ms 319104 KB Output is correct
50 Correct 319 ms 319120 KB Output is correct
51 Correct 318 ms 318840 KB Output is correct
52 Correct 310 ms 318712 KB Output is correct
53 Correct 320 ms 319096 KB Output is correct
54 Correct 372 ms 319028 KB Output is correct
55 Correct 323 ms 318940 KB Output is correct
56 Correct 331 ms 318968 KB Output is correct
57 Correct 326 ms 318968 KB Output is correct
58 Correct 320 ms 318704 KB Output is correct
59 Correct 324 ms 318840 KB Output is correct
60 Correct 306 ms 318772 KB Output is correct
61 Correct 1136 ms 417000 KB Output is correct
62 Correct 2257 ms 528844 KB Output is correct
63 Correct 2309 ms 529852 KB Output is correct
64 Correct 2257 ms 530236 KB Output is correct
65 Correct 457 ms 355448 KB Output is correct
66 Correct 617 ms 389588 KB Output is correct
67 Correct 640 ms 392668 KB Output is correct
68 Correct 3284 ms 685784 KB Output is correct
69 Correct 2623 ms 667876 KB Output is correct
70 Correct 2552 ms 667848 KB Output is correct
71 Correct 1542 ms 649608 KB Output is correct
72 Correct 3469 ms 931028 KB Output is correct
73 Correct 3357 ms 581284 KB Output is correct
74 Correct 3637 ms 612180 KB Output is correct
75 Execution timed out 5055 ms 751632 KB Time limit exceeded
76 Halted 0 ms 0 KB -