Submission #154472

# Submission time Handle Problem Language Result Execution time Memory
154472 2019-09-22T04:05:39 Z liwi Rectangles (IOI19_rect) C++14
72 / 100
5000 ms 932076 KB
#include "rect.h"

#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 2505

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;
pii dq[MAXN]; int l,r;
vector<pii> row_dp[MAXN][MAXN],col_dp[MAXN][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(mp(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(mp(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(mp(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(mp(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++){
			vector<pii> &nums = row_dp[l][r];
			if(cnt[l][r] == 0) continue;
//			sort(all(nums)); complete_unique(nums);
//			vector<pii> t;
			int lst = 0;
			for(int i=1; i<cnt[l][r]; i++){
				if(nums[i].first == nums[i-1].first+1) continue;
				for(int k=nums[lst].first; k<=nums[i-1].first; k++)
					dep[nums[i-1].first-k+1].emplace_back(mp(mp(k,l),r));
//					row_dp[k][l].pb(mp(nums[i-1].first-k+1,r));
				lst = i;
			}
			for(int k=nums[lst].first; k<=nums[cnt[l][r]-1].first; k++)
				dep[nums[cnt[l][r]-1].first-k+1].emplace_back(mp(mp(k,l),r));
//				row_dp[k][l].pb(mp(nums[cnt[l][r]-1].first-k+1,r));
			nums.clear();
		}
	}
	for(int i=1; i<=num_rows; i++){
		for(auto &check:dep[i])
			row_dp[check.first.first][check.first.second].emplace_back(mp(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++){
			vector<pii> &nums = col_dp[l][r];
			if(cnt[l][r] == 0) continue;
//			sort(all(nums)); complete_unique(nums);
			int lst = 0;
			for(int i=1; i<cnt[l][r]; i++){
				if(nums[i].first == nums[i-1].first+1) continue;
				for(int k=nums[lst].first; k<=nums[i-1].first; k++)
					col_dp[l][k].emplace_back(mp(r,nums[i-1].first));
				lst = i;
			}
			for(int k=nums[lst].first; k<=nums[cnt[l][r]-1].first; k++)
				col_dp[l][k].emplace_back(mp(r,nums[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=2; i<num_rows; i++){
		for(int k=2; k<num_cols; k++){
//			sort(all(row_dp[i][k]));
//			sort(all(col_dp[i][k]));
			int ptr = 0, 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 >= 0) 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:199:16: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i=0; i<a.size(); i++)
               ~^~~~~~~~~
rect.cpp:200:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int k=0; k<a[i].size(); k++)
                ~^~~~~~~~~~~~
rect.cpp:209:18: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    for(int v=0; v<row_dp[i][k].size(); v++){
                 ~^~~~~~~~~~~~~~~~~~~~
rect.cpp:211:15: 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 343 ms 319836 KB Output is correct
2 Correct 308 ms 319928 KB Output is correct
3 Correct 314 ms 319888 KB Output is correct
4 Correct 292 ms 319952 KB Output is correct
5 Correct 317 ms 319956 KB Output is correct
6 Correct 314 ms 319864 KB Output is correct
7 Correct 327 ms 319836 KB Output is correct
8 Correct 294 ms 319780 KB Output is correct
9 Correct 291 ms 319872 KB Output is correct
10 Correct 291 ms 319992 KB Output is correct
11 Correct 296 ms 319864 KB Output is correct
12 Correct 291 ms 319864 KB Output is correct
13 Correct 292 ms 319684 KB Output is correct
14 Correct 291 ms 319736 KB Output is correct
15 Correct 290 ms 319804 KB Output is correct
16 Correct 293 ms 319716 KB Output is correct
17 Correct 291 ms 319668 KB Output is correct
18 Correct 291 ms 319676 KB Output is correct
19 Correct 291 ms 319800 KB Output is correct
20 Correct 341 ms 319836 KB Output is correct
21 Correct 291 ms 319788 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 343 ms 319836 KB Output is correct
2 Correct 308 ms 319928 KB Output is correct
3 Correct 314 ms 319888 KB Output is correct
4 Correct 292 ms 319952 KB Output is correct
5 Correct 317 ms 319956 KB Output is correct
6 Correct 314 ms 319864 KB Output is correct
7 Correct 327 ms 319836 KB Output is correct
8 Correct 294 ms 319780 KB Output is correct
9 Correct 291 ms 319872 KB Output is correct
10 Correct 291 ms 319992 KB Output is correct
11 Correct 296 ms 319864 KB Output is correct
12 Correct 291 ms 319864 KB Output is correct
13 Correct 292 ms 319684 KB Output is correct
14 Correct 291 ms 319736 KB Output is correct
15 Correct 290 ms 319804 KB Output is correct
16 Correct 293 ms 319716 KB Output is correct
17 Correct 291 ms 320660 KB Output is correct
18 Correct 292 ms 320636 KB Output is correct
19 Correct 295 ms 320760 KB Output is correct
20 Correct 317 ms 320352 KB Output is correct
21 Correct 336 ms 320496 KB Output is correct
22 Correct 293 ms 320376 KB Output is correct
23 Correct 297 ms 320380 KB Output is correct
24 Correct 293 ms 320300 KB Output is correct
25 Correct 291 ms 319668 KB Output is correct
26 Correct 291 ms 319676 KB Output is correct
27 Correct 291 ms 319800 KB Output is correct
28 Correct 341 ms 319836 KB Output is correct
29 Correct 291 ms 319788 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 343 ms 319836 KB Output is correct
2 Correct 308 ms 319928 KB Output is correct
3 Correct 314 ms 319888 KB Output is correct
4 Correct 292 ms 319952 KB Output is correct
5 Correct 317 ms 319956 KB Output is correct
6 Correct 314 ms 319864 KB Output is correct
7 Correct 327 ms 319836 KB Output is correct
8 Correct 294 ms 319780 KB Output is correct
9 Correct 291 ms 319872 KB Output is correct
10 Correct 291 ms 319992 KB Output is correct
11 Correct 296 ms 319864 KB Output is correct
12 Correct 291 ms 319864 KB Output is correct
13 Correct 292 ms 319684 KB Output is correct
14 Correct 291 ms 319736 KB Output is correct
15 Correct 290 ms 319804 KB Output is correct
16 Correct 293 ms 319716 KB Output is correct
17 Correct 291 ms 320660 KB Output is correct
18 Correct 292 ms 320636 KB Output is correct
19 Correct 295 ms 320760 KB Output is correct
20 Correct 317 ms 320352 KB Output is correct
21 Correct 336 ms 320496 KB Output is correct
22 Correct 293 ms 320376 KB Output is correct
23 Correct 297 ms 320380 KB Output is correct
24 Correct 293 ms 320300 KB Output is correct
25 Correct 302 ms 324240 KB Output is correct
26 Correct 305 ms 324232 KB Output is correct
27 Correct 311 ms 324380 KB Output is correct
28 Correct 348 ms 322212 KB Output is correct
29 Correct 326 ms 323412 KB Output is correct
30 Correct 312 ms 323212 KB Output is correct
31 Correct 313 ms 323068 KB Output is correct
32 Correct 338 ms 323104 KB Output is correct
33 Correct 291 ms 319668 KB Output is correct
34 Correct 291 ms 319676 KB Output is correct
35 Correct 291 ms 319800 KB Output is correct
36 Correct 341 ms 319836 KB Output is correct
37 Correct 291 ms 319788 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 343 ms 319836 KB Output is correct
2 Correct 308 ms 319928 KB Output is correct
3 Correct 314 ms 319888 KB Output is correct
4 Correct 292 ms 319952 KB Output is correct
5 Correct 317 ms 319956 KB Output is correct
6 Correct 314 ms 319864 KB Output is correct
7 Correct 327 ms 319836 KB Output is correct
8 Correct 294 ms 319780 KB Output is correct
9 Correct 291 ms 319872 KB Output is correct
10 Correct 291 ms 319992 KB Output is correct
11 Correct 296 ms 319864 KB Output is correct
12 Correct 291 ms 319864 KB Output is correct
13 Correct 292 ms 319684 KB Output is correct
14 Correct 291 ms 319736 KB Output is correct
15 Correct 290 ms 319804 KB Output is correct
16 Correct 293 ms 319716 KB Output is correct
17 Correct 291 ms 320660 KB Output is correct
18 Correct 292 ms 320636 KB Output is correct
19 Correct 295 ms 320760 KB Output is correct
20 Correct 317 ms 320352 KB Output is correct
21 Correct 336 ms 320496 KB Output is correct
22 Correct 293 ms 320376 KB Output is correct
23 Correct 297 ms 320380 KB Output is correct
24 Correct 293 ms 320300 KB Output is correct
25 Correct 302 ms 324240 KB Output is correct
26 Correct 305 ms 324232 KB Output is correct
27 Correct 311 ms 324380 KB Output is correct
28 Correct 348 ms 322212 KB Output is correct
29 Correct 326 ms 323412 KB Output is correct
30 Correct 312 ms 323212 KB Output is correct
31 Correct 313 ms 323068 KB Output is correct
32 Correct 338 ms 323104 KB Output is correct
33 Correct 545 ms 351160 KB Output is correct
34 Correct 506 ms 350224 KB Output is correct
35 Correct 455 ms 350248 KB Output is correct
36 Correct 427 ms 349224 KB Output is correct
37 Correct 514 ms 370104 KB Output is correct
38 Correct 514 ms 369992 KB Output is correct
39 Correct 517 ms 369964 KB Output is correct
40 Correct 499 ms 367156 KB Output is correct
41 Correct 410 ms 338748 KB Output is correct
42 Correct 462 ms 342856 KB Output is correct
43 Correct 717 ms 356116 KB Output is correct
44 Correct 732 ms 356468 KB Output is correct
45 Correct 467 ms 339700 KB Output is correct
46 Correct 471 ms 338144 KB Output is correct
47 Correct 641 ms 354344 KB Output is correct
48 Correct 625 ms 354460 KB Output is correct
49 Correct 291 ms 319668 KB Output is correct
50 Correct 291 ms 319676 KB Output is correct
51 Correct 291 ms 319800 KB Output is correct
52 Correct 341 ms 319836 KB Output is correct
53 Correct 291 ms 319788 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 333 ms 320156 KB Output is correct
2 Correct 322 ms 319992 KB Output is correct
3 Correct 327 ms 319864 KB Output is correct
4 Correct 291 ms 319736 KB Output is correct
5 Correct 333 ms 319992 KB Output is correct
6 Correct 335 ms 319992 KB Output is correct
7 Correct 334 ms 319964 KB Output is correct
8 Correct 337 ms 319992 KB Output is correct
9 Correct 361 ms 319940 KB Output is correct
10 Correct 344 ms 319828 KB Output is correct
11 Correct 361 ms 319888 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 326 ms 319808 KB Output is correct
2 Correct 1383 ms 417760 KB Output is correct
3 Correct 2565 ms 529828 KB Output is correct
4 Correct 2430 ms 530708 KB Output is correct
5 Correct 2487 ms 530760 KB Output is correct
6 Correct 467 ms 355996 KB Output is correct
7 Correct 604 ms 390264 KB Output is correct
8 Correct 631 ms 393336 KB Output is correct
9 Correct 291 ms 319668 KB Output is correct
10 Correct 291 ms 319676 KB Output is correct
11 Correct 291 ms 319800 KB Output is correct
12 Correct 341 ms 319836 KB Output is correct
13 Correct 291 ms 319788 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 343 ms 319836 KB Output is correct
2 Correct 308 ms 319928 KB Output is correct
3 Correct 314 ms 319888 KB Output is correct
4 Correct 292 ms 319952 KB Output is correct
5 Correct 317 ms 319956 KB Output is correct
6 Correct 314 ms 319864 KB Output is correct
7 Correct 327 ms 319836 KB Output is correct
8 Correct 294 ms 319780 KB Output is correct
9 Correct 291 ms 319872 KB Output is correct
10 Correct 291 ms 319992 KB Output is correct
11 Correct 296 ms 319864 KB Output is correct
12 Correct 291 ms 319864 KB Output is correct
13 Correct 292 ms 319684 KB Output is correct
14 Correct 291 ms 319736 KB Output is correct
15 Correct 290 ms 319804 KB Output is correct
16 Correct 293 ms 319716 KB Output is correct
17 Correct 291 ms 320660 KB Output is correct
18 Correct 292 ms 320636 KB Output is correct
19 Correct 295 ms 320760 KB Output is correct
20 Correct 317 ms 320352 KB Output is correct
21 Correct 336 ms 320496 KB Output is correct
22 Correct 293 ms 320376 KB Output is correct
23 Correct 297 ms 320380 KB Output is correct
24 Correct 293 ms 320300 KB Output is correct
25 Correct 302 ms 324240 KB Output is correct
26 Correct 305 ms 324232 KB Output is correct
27 Correct 311 ms 324380 KB Output is correct
28 Correct 348 ms 322212 KB Output is correct
29 Correct 326 ms 323412 KB Output is correct
30 Correct 312 ms 323212 KB Output is correct
31 Correct 313 ms 323068 KB Output is correct
32 Correct 338 ms 323104 KB Output is correct
33 Correct 545 ms 351160 KB Output is correct
34 Correct 506 ms 350224 KB Output is correct
35 Correct 455 ms 350248 KB Output is correct
36 Correct 427 ms 349224 KB Output is correct
37 Correct 514 ms 370104 KB Output is correct
38 Correct 514 ms 369992 KB Output is correct
39 Correct 517 ms 369964 KB Output is correct
40 Correct 499 ms 367156 KB Output is correct
41 Correct 410 ms 338748 KB Output is correct
42 Correct 462 ms 342856 KB Output is correct
43 Correct 717 ms 356116 KB Output is correct
44 Correct 732 ms 356468 KB Output is correct
45 Correct 467 ms 339700 KB Output is correct
46 Correct 471 ms 338144 KB Output is correct
47 Correct 641 ms 354344 KB Output is correct
48 Correct 625 ms 354460 KB Output is correct
49 Correct 333 ms 320156 KB Output is correct
50 Correct 322 ms 319992 KB Output is correct
51 Correct 327 ms 319864 KB Output is correct
52 Correct 291 ms 319736 KB Output is correct
53 Correct 333 ms 319992 KB Output is correct
54 Correct 335 ms 319992 KB Output is correct
55 Correct 334 ms 319964 KB Output is correct
56 Correct 337 ms 319992 KB Output is correct
57 Correct 361 ms 319940 KB Output is correct
58 Correct 344 ms 319828 KB Output is correct
59 Correct 361 ms 319888 KB Output is correct
60 Correct 326 ms 319808 KB Output is correct
61 Correct 1383 ms 417760 KB Output is correct
62 Correct 2565 ms 529828 KB Output is correct
63 Correct 2430 ms 530708 KB Output is correct
64 Correct 2487 ms 530760 KB Output is correct
65 Correct 467 ms 355996 KB Output is correct
66 Correct 604 ms 390264 KB Output is correct
67 Correct 631 ms 393336 KB Output is correct
68 Correct 3468 ms 686592 KB Output is correct
69 Correct 2957 ms 668420 KB Output is correct
70 Correct 2616 ms 668436 KB Output is correct
71 Correct 1590 ms 650196 KB Output is correct
72 Correct 3690 ms 932076 KB Output is correct
73 Correct 3735 ms 581792 KB Output is correct
74 Correct 4008 ms 612964 KB Output is correct
75 Execution timed out 5103 ms 752332 KB Time limit exceeded
76 Halted 0 ms 0 KB -