Submission #154474

# Submission time Handle Problem Language Result Execution time Memory
154474 2019-09-22T04:10:05 Z liwi Rectangles (IOI19_rect) C++14
72 / 100
5000 ms 931188 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;
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(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 = 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 312 ms 318840 KB Output is correct
2 Correct 338 ms 318976 KB Output is correct
3 Correct 361 ms 318916 KB Output is correct
4 Correct 368 ms 318864 KB Output is correct
5 Correct 313 ms 318808 KB Output is correct
6 Correct 314 ms 318820 KB Output is correct
7 Correct 318 ms 318808 KB Output is correct
8 Correct 314 ms 318652 KB Output is correct
9 Correct 313 ms 318840 KB Output is correct
10 Correct 312 ms 318840 KB Output is correct
11 Correct 312 ms 318840 KB Output is correct
12 Correct 311 ms 318788 KB Output is correct
13 Correct 311 ms 318624 KB Output is correct
14 Correct 310 ms 318736 KB Output is correct
15 Correct 309 ms 318712 KB Output is correct
16 Correct 310 ms 318664 KB Output is correct
17 Correct 310 ms 318668 KB Output is correct
18 Correct 322 ms 318584 KB Output is correct
19 Correct 311 ms 318840 KB Output is correct
20 Correct 339 ms 318712 KB Output is correct
21 Correct 331 ms 318736 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 312 ms 318840 KB Output is correct
2 Correct 338 ms 318976 KB Output is correct
3 Correct 361 ms 318916 KB Output is correct
4 Correct 368 ms 318864 KB Output is correct
5 Correct 313 ms 318808 KB Output is correct
6 Correct 314 ms 318820 KB Output is correct
7 Correct 318 ms 318808 KB Output is correct
8 Correct 314 ms 318652 KB Output is correct
9 Correct 313 ms 318840 KB Output is correct
10 Correct 312 ms 318840 KB Output is correct
11 Correct 312 ms 318840 KB Output is correct
12 Correct 311 ms 318788 KB Output is correct
13 Correct 311 ms 318624 KB Output is correct
14 Correct 310 ms 318736 KB Output is correct
15 Correct 309 ms 318712 KB Output is correct
16 Correct 310 ms 318664 KB Output is correct
17 Correct 314 ms 319840 KB Output is correct
18 Correct 315 ms 319792 KB Output is correct
19 Correct 318 ms 319608 KB Output is correct
20 Correct 317 ms 319352 KB Output is correct
21 Correct 316 ms 319480 KB Output is correct
22 Correct 327 ms 319480 KB Output is correct
23 Correct 334 ms 319332 KB Output is correct
24 Correct 314 ms 319224 KB Output is correct
25 Correct 310 ms 318668 KB Output is correct
26 Correct 322 ms 318584 KB Output is correct
27 Correct 311 ms 318840 KB Output is correct
28 Correct 339 ms 318712 KB Output is correct
29 Correct 331 ms 318736 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 312 ms 318840 KB Output is correct
2 Correct 338 ms 318976 KB Output is correct
3 Correct 361 ms 318916 KB Output is correct
4 Correct 368 ms 318864 KB Output is correct
5 Correct 313 ms 318808 KB Output is correct
6 Correct 314 ms 318820 KB Output is correct
7 Correct 318 ms 318808 KB Output is correct
8 Correct 314 ms 318652 KB Output is correct
9 Correct 313 ms 318840 KB Output is correct
10 Correct 312 ms 318840 KB Output is correct
11 Correct 312 ms 318840 KB Output is correct
12 Correct 311 ms 318788 KB Output is correct
13 Correct 311 ms 318624 KB Output is correct
14 Correct 310 ms 318736 KB Output is correct
15 Correct 309 ms 318712 KB Output is correct
16 Correct 310 ms 318664 KB Output is correct
17 Correct 314 ms 319840 KB Output is correct
18 Correct 315 ms 319792 KB Output is correct
19 Correct 318 ms 319608 KB Output is correct
20 Correct 317 ms 319352 KB Output is correct
21 Correct 316 ms 319480 KB Output is correct
22 Correct 327 ms 319480 KB Output is correct
23 Correct 334 ms 319332 KB Output is correct
24 Correct 314 ms 319224 KB Output is correct
25 Correct 354 ms 323368 KB Output is correct
26 Correct 346 ms 323320 KB Output is correct
27 Correct 330 ms 323168 KB Output is correct
28 Correct 381 ms 321060 KB Output is correct
29 Correct 337 ms 322368 KB Output is correct
30 Correct 334 ms 322344 KB Output is correct
31 Correct 335 ms 322060 KB Output is correct
32 Correct 335 ms 322052 KB Output is correct
33 Correct 310 ms 318668 KB Output is correct
34 Correct 322 ms 318584 KB Output is correct
35 Correct 311 ms 318840 KB Output is correct
36 Correct 339 ms 318712 KB Output is correct
37 Correct 331 ms 318736 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 312 ms 318840 KB Output is correct
2 Correct 338 ms 318976 KB Output is correct
3 Correct 361 ms 318916 KB Output is correct
4 Correct 368 ms 318864 KB Output is correct
5 Correct 313 ms 318808 KB Output is correct
6 Correct 314 ms 318820 KB Output is correct
7 Correct 318 ms 318808 KB Output is correct
8 Correct 314 ms 318652 KB Output is correct
9 Correct 313 ms 318840 KB Output is correct
10 Correct 312 ms 318840 KB Output is correct
11 Correct 312 ms 318840 KB Output is correct
12 Correct 311 ms 318788 KB Output is correct
13 Correct 311 ms 318624 KB Output is correct
14 Correct 310 ms 318736 KB Output is correct
15 Correct 309 ms 318712 KB Output is correct
16 Correct 310 ms 318664 KB Output is correct
17 Correct 314 ms 319840 KB Output is correct
18 Correct 315 ms 319792 KB Output is correct
19 Correct 318 ms 319608 KB Output is correct
20 Correct 317 ms 319352 KB Output is correct
21 Correct 316 ms 319480 KB Output is correct
22 Correct 327 ms 319480 KB Output is correct
23 Correct 334 ms 319332 KB Output is correct
24 Correct 314 ms 319224 KB Output is correct
25 Correct 354 ms 323368 KB Output is correct
26 Correct 346 ms 323320 KB Output is correct
27 Correct 330 ms 323168 KB Output is correct
28 Correct 381 ms 321060 KB Output is correct
29 Correct 337 ms 322368 KB Output is correct
30 Correct 334 ms 322344 KB Output is correct
31 Correct 335 ms 322060 KB Output is correct
32 Correct 335 ms 322052 KB Output is correct
33 Correct 600 ms 350172 KB Output is correct
34 Correct 466 ms 349464 KB Output is correct
35 Correct 460 ms 349224 KB Output is correct
36 Correct 456 ms 348468 KB Output is correct
37 Correct 536 ms 368988 KB Output is correct
38 Correct 515 ms 368964 KB Output is correct
39 Correct 532 ms 368880 KB Output is correct
40 Correct 544 ms 366076 KB Output is correct
41 Correct 435 ms 337792 KB Output is correct
42 Correct 477 ms 341904 KB Output is correct
43 Correct 684 ms 355264 KB Output is correct
44 Correct 669 ms 355408 KB Output is correct
45 Correct 485 ms 338548 KB Output is correct
46 Correct 486 ms 337152 KB Output is correct
47 Correct 619 ms 353432 KB Output is correct
48 Correct 628 ms 353460 KB Output is correct
49 Correct 310 ms 318668 KB Output is correct
50 Correct 322 ms 318584 KB Output is correct
51 Correct 311 ms 318840 KB Output is correct
52 Correct 339 ms 318712 KB Output is correct
53 Correct 331 ms 318736 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 334 ms 318960 KB Output is correct
2 Correct 365 ms 319048 KB Output is correct
3 Correct 336 ms 318788 KB Output is correct
4 Correct 316 ms 318712 KB Output is correct
5 Correct 335 ms 319116 KB Output is correct
6 Correct 336 ms 318968 KB Output is correct
7 Correct 334 ms 318840 KB Output is correct
8 Correct 330 ms 318968 KB Output is correct
9 Correct 505 ms 319100 KB Output is correct
10 Correct 335 ms 318712 KB Output is correct
11 Correct 364 ms 318696 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 322 ms 318692 KB Output is correct
2 Correct 1196 ms 416844 KB Output is correct
3 Correct 2329 ms 528836 KB Output is correct
4 Correct 2463 ms 529800 KB Output is correct
5 Correct 2293 ms 529796 KB Output is correct
6 Correct 462 ms 354936 KB Output is correct
7 Correct 616 ms 389380 KB Output is correct
8 Correct 633 ms 392208 KB Output is correct
9 Correct 310 ms 318668 KB Output is correct
10 Correct 322 ms 318584 KB Output is correct
11 Correct 311 ms 318840 KB Output is correct
12 Correct 339 ms 318712 KB Output is correct
13 Correct 331 ms 318736 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 312 ms 318840 KB Output is correct
2 Correct 338 ms 318976 KB Output is correct
3 Correct 361 ms 318916 KB Output is correct
4 Correct 368 ms 318864 KB Output is correct
5 Correct 313 ms 318808 KB Output is correct
6 Correct 314 ms 318820 KB Output is correct
7 Correct 318 ms 318808 KB Output is correct
8 Correct 314 ms 318652 KB Output is correct
9 Correct 313 ms 318840 KB Output is correct
10 Correct 312 ms 318840 KB Output is correct
11 Correct 312 ms 318840 KB Output is correct
12 Correct 311 ms 318788 KB Output is correct
13 Correct 311 ms 318624 KB Output is correct
14 Correct 310 ms 318736 KB Output is correct
15 Correct 309 ms 318712 KB Output is correct
16 Correct 310 ms 318664 KB Output is correct
17 Correct 314 ms 319840 KB Output is correct
18 Correct 315 ms 319792 KB Output is correct
19 Correct 318 ms 319608 KB Output is correct
20 Correct 317 ms 319352 KB Output is correct
21 Correct 316 ms 319480 KB Output is correct
22 Correct 327 ms 319480 KB Output is correct
23 Correct 334 ms 319332 KB Output is correct
24 Correct 314 ms 319224 KB Output is correct
25 Correct 354 ms 323368 KB Output is correct
26 Correct 346 ms 323320 KB Output is correct
27 Correct 330 ms 323168 KB Output is correct
28 Correct 381 ms 321060 KB Output is correct
29 Correct 337 ms 322368 KB Output is correct
30 Correct 334 ms 322344 KB Output is correct
31 Correct 335 ms 322060 KB Output is correct
32 Correct 335 ms 322052 KB Output is correct
33 Correct 600 ms 350172 KB Output is correct
34 Correct 466 ms 349464 KB Output is correct
35 Correct 460 ms 349224 KB Output is correct
36 Correct 456 ms 348468 KB Output is correct
37 Correct 536 ms 368988 KB Output is correct
38 Correct 515 ms 368964 KB Output is correct
39 Correct 532 ms 368880 KB Output is correct
40 Correct 544 ms 366076 KB Output is correct
41 Correct 435 ms 337792 KB Output is correct
42 Correct 477 ms 341904 KB Output is correct
43 Correct 684 ms 355264 KB Output is correct
44 Correct 669 ms 355408 KB Output is correct
45 Correct 485 ms 338548 KB Output is correct
46 Correct 486 ms 337152 KB Output is correct
47 Correct 619 ms 353432 KB Output is correct
48 Correct 628 ms 353460 KB Output is correct
49 Correct 334 ms 318960 KB Output is correct
50 Correct 365 ms 319048 KB Output is correct
51 Correct 336 ms 318788 KB Output is correct
52 Correct 316 ms 318712 KB Output is correct
53 Correct 335 ms 319116 KB Output is correct
54 Correct 336 ms 318968 KB Output is correct
55 Correct 334 ms 318840 KB Output is correct
56 Correct 330 ms 318968 KB Output is correct
57 Correct 505 ms 319100 KB Output is correct
58 Correct 335 ms 318712 KB Output is correct
59 Correct 364 ms 318696 KB Output is correct
60 Correct 322 ms 318692 KB Output is correct
61 Correct 1196 ms 416844 KB Output is correct
62 Correct 2329 ms 528836 KB Output is correct
63 Correct 2463 ms 529800 KB Output is correct
64 Correct 2293 ms 529796 KB Output is correct
65 Correct 462 ms 354936 KB Output is correct
66 Correct 616 ms 389380 KB Output is correct
67 Correct 633 ms 392208 KB Output is correct
68 Correct 3274 ms 685360 KB Output is correct
69 Correct 2629 ms 667288 KB Output is correct
70 Correct 2544 ms 667412 KB Output is correct
71 Correct 1552 ms 649168 KB Output is correct
72 Correct 3709 ms 931188 KB Output is correct
73 Correct 3625 ms 580864 KB Output is correct
74 Correct 3778 ms 611996 KB Output is correct
75 Execution timed out 5111 ms 751316 KB Time limit exceeded
76 Halted 0 ms 0 KB -