Submission #154473

# Submission time Handle Problem Language Result Execution time Memory
154473 2019-09-22T04:06:22 Z liwi Rectangles (IOI19_rect) C++14
72 / 100
5000 ms 931004 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;
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: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 305 ms 318660 KB Output is correct
2 Correct 331 ms 318788 KB Output is correct
3 Correct 305 ms 318812 KB Output is correct
4 Correct 308 ms 318840 KB Output is correct
5 Correct 308 ms 318840 KB Output is correct
6 Correct 305 ms 318776 KB Output is correct
7 Correct 307 ms 318712 KB Output is correct
8 Correct 316 ms 318756 KB Output is correct
9 Correct 332 ms 318840 KB Output is correct
10 Correct 312 ms 318828 KB Output is correct
11 Correct 305 ms 318840 KB Output is correct
12 Correct 306 ms 318840 KB Output is correct
13 Correct 306 ms 318768 KB Output is correct
14 Correct 307 ms 318716 KB Output is correct
15 Correct 310 ms 318712 KB Output is correct
16 Correct 311 ms 318588 KB Output is correct
17 Correct 308 ms 318612 KB Output is correct
18 Correct 308 ms 318692 KB Output is correct
19 Correct 309 ms 318728 KB Output is correct
20 Correct 306 ms 318840 KB Output is correct
21 Correct 309 ms 318712 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 305 ms 318660 KB Output is correct
2 Correct 331 ms 318788 KB Output is correct
3 Correct 305 ms 318812 KB Output is correct
4 Correct 308 ms 318840 KB Output is correct
5 Correct 308 ms 318840 KB Output is correct
6 Correct 305 ms 318776 KB Output is correct
7 Correct 307 ms 318712 KB Output is correct
8 Correct 316 ms 318756 KB Output is correct
9 Correct 332 ms 318840 KB Output is correct
10 Correct 312 ms 318828 KB Output is correct
11 Correct 305 ms 318840 KB Output is correct
12 Correct 306 ms 318840 KB Output is correct
13 Correct 306 ms 318768 KB Output is correct
14 Correct 307 ms 318716 KB Output is correct
15 Correct 310 ms 318712 KB Output is correct
16 Correct 311 ms 318588 KB Output is correct
17 Correct 307 ms 319584 KB Output is correct
18 Correct 316 ms 319592 KB Output is correct
19 Correct 311 ms 319548 KB Output is correct
20 Correct 309 ms 319176 KB Output is correct
21 Correct 319 ms 319320 KB Output is correct
22 Correct 317 ms 319424 KB Output is correct
23 Correct 305 ms 319304 KB Output is correct
24 Correct 310 ms 319228 KB Output is correct
25 Correct 308 ms 318612 KB Output is correct
26 Correct 308 ms 318692 KB Output is correct
27 Correct 309 ms 318728 KB Output is correct
28 Correct 306 ms 318840 KB Output is correct
29 Correct 309 ms 318712 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 305 ms 318660 KB Output is correct
2 Correct 331 ms 318788 KB Output is correct
3 Correct 305 ms 318812 KB Output is correct
4 Correct 308 ms 318840 KB Output is correct
5 Correct 308 ms 318840 KB Output is correct
6 Correct 305 ms 318776 KB Output is correct
7 Correct 307 ms 318712 KB Output is correct
8 Correct 316 ms 318756 KB Output is correct
9 Correct 332 ms 318840 KB Output is correct
10 Correct 312 ms 318828 KB Output is correct
11 Correct 305 ms 318840 KB Output is correct
12 Correct 306 ms 318840 KB Output is correct
13 Correct 306 ms 318768 KB Output is correct
14 Correct 307 ms 318716 KB Output is correct
15 Correct 310 ms 318712 KB Output is correct
16 Correct 311 ms 318588 KB Output is correct
17 Correct 307 ms 319584 KB Output is correct
18 Correct 316 ms 319592 KB Output is correct
19 Correct 311 ms 319548 KB Output is correct
20 Correct 309 ms 319176 KB Output is correct
21 Correct 319 ms 319320 KB Output is correct
22 Correct 317 ms 319424 KB Output is correct
23 Correct 305 ms 319304 KB Output is correct
24 Correct 310 ms 319228 KB Output is correct
25 Correct 326 ms 323320 KB Output is correct
26 Correct 320 ms 323192 KB Output is correct
27 Correct 322 ms 323156 KB Output is correct
28 Correct 316 ms 321120 KB Output is correct
29 Correct 330 ms 322288 KB Output is correct
30 Correct 315 ms 322284 KB Output is correct
31 Correct 340 ms 322180 KB Output is correct
32 Correct 534 ms 322076 KB Output is correct
33 Correct 308 ms 318612 KB Output is correct
34 Correct 308 ms 318692 KB Output is correct
35 Correct 309 ms 318728 KB Output is correct
36 Correct 306 ms 318840 KB Output is correct
37 Correct 309 ms 318712 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 305 ms 318660 KB Output is correct
2 Correct 331 ms 318788 KB Output is correct
3 Correct 305 ms 318812 KB Output is correct
4 Correct 308 ms 318840 KB Output is correct
5 Correct 308 ms 318840 KB Output is correct
6 Correct 305 ms 318776 KB Output is correct
7 Correct 307 ms 318712 KB Output is correct
8 Correct 316 ms 318756 KB Output is correct
9 Correct 332 ms 318840 KB Output is correct
10 Correct 312 ms 318828 KB Output is correct
11 Correct 305 ms 318840 KB Output is correct
12 Correct 306 ms 318840 KB Output is correct
13 Correct 306 ms 318768 KB Output is correct
14 Correct 307 ms 318716 KB Output is correct
15 Correct 310 ms 318712 KB Output is correct
16 Correct 311 ms 318588 KB Output is correct
17 Correct 307 ms 319584 KB Output is correct
18 Correct 316 ms 319592 KB Output is correct
19 Correct 311 ms 319548 KB Output is correct
20 Correct 309 ms 319176 KB Output is correct
21 Correct 319 ms 319320 KB Output is correct
22 Correct 317 ms 319424 KB Output is correct
23 Correct 305 ms 319304 KB Output is correct
24 Correct 310 ms 319228 KB Output is correct
25 Correct 326 ms 323320 KB Output is correct
26 Correct 320 ms 323192 KB Output is correct
27 Correct 322 ms 323156 KB Output is correct
28 Correct 316 ms 321120 KB Output is correct
29 Correct 330 ms 322288 KB Output is correct
30 Correct 315 ms 322284 KB Output is correct
31 Correct 340 ms 322180 KB Output is correct
32 Correct 534 ms 322076 KB Output is correct
33 Correct 503 ms 350148 KB Output is correct
34 Correct 459 ms 349220 KB Output is correct
35 Correct 446 ms 349164 KB Output is correct
36 Correct 414 ms 348324 KB Output is correct
37 Correct 528 ms 369040 KB Output is correct
38 Correct 527 ms 368836 KB Output is correct
39 Correct 529 ms 369024 KB Output is correct
40 Correct 558 ms 366180 KB Output is correct
41 Correct 444 ms 337736 KB Output is correct
42 Correct 476 ms 341868 KB Output is correct
43 Correct 670 ms 355136 KB Output is correct
44 Correct 724 ms 355536 KB Output is correct
45 Correct 478 ms 338728 KB Output is correct
46 Correct 474 ms 337228 KB Output is correct
47 Correct 624 ms 353480 KB Output is correct
48 Correct 635 ms 353332 KB Output is correct
49 Correct 308 ms 318612 KB Output is correct
50 Correct 308 ms 318692 KB Output is correct
51 Correct 309 ms 318728 KB Output is correct
52 Correct 306 ms 318840 KB Output is correct
53 Correct 309 ms 318712 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 344 ms 318968 KB Output is correct
2 Correct 342 ms 318972 KB Output is correct
3 Correct 349 ms 318840 KB Output is correct
4 Correct 304 ms 318732 KB Output is correct
5 Correct 350 ms 318828 KB Output is correct
6 Correct 356 ms 318852 KB Output is correct
7 Correct 358 ms 318848 KB Output is correct
8 Correct 354 ms 318836 KB Output is correct
9 Correct 354 ms 318864 KB Output is correct
10 Correct 356 ms 318716 KB Output is correct
11 Correct 354 ms 318840 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 346 ms 318656 KB Output is correct
2 Correct 1207 ms 416792 KB Output is correct
3 Correct 2318 ms 528940 KB Output is correct
4 Correct 2393 ms 529720 KB Output is correct
5 Correct 2356 ms 529868 KB Output is correct
6 Correct 487 ms 355036 KB Output is correct
7 Correct 626 ms 389244 KB Output is correct
8 Correct 650 ms 392312 KB Output is correct
9 Correct 308 ms 318612 KB Output is correct
10 Correct 308 ms 318692 KB Output is correct
11 Correct 309 ms 318728 KB Output is correct
12 Correct 306 ms 318840 KB Output is correct
13 Correct 309 ms 318712 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 305 ms 318660 KB Output is correct
2 Correct 331 ms 318788 KB Output is correct
3 Correct 305 ms 318812 KB Output is correct
4 Correct 308 ms 318840 KB Output is correct
5 Correct 308 ms 318840 KB Output is correct
6 Correct 305 ms 318776 KB Output is correct
7 Correct 307 ms 318712 KB Output is correct
8 Correct 316 ms 318756 KB Output is correct
9 Correct 332 ms 318840 KB Output is correct
10 Correct 312 ms 318828 KB Output is correct
11 Correct 305 ms 318840 KB Output is correct
12 Correct 306 ms 318840 KB Output is correct
13 Correct 306 ms 318768 KB Output is correct
14 Correct 307 ms 318716 KB Output is correct
15 Correct 310 ms 318712 KB Output is correct
16 Correct 311 ms 318588 KB Output is correct
17 Correct 307 ms 319584 KB Output is correct
18 Correct 316 ms 319592 KB Output is correct
19 Correct 311 ms 319548 KB Output is correct
20 Correct 309 ms 319176 KB Output is correct
21 Correct 319 ms 319320 KB Output is correct
22 Correct 317 ms 319424 KB Output is correct
23 Correct 305 ms 319304 KB Output is correct
24 Correct 310 ms 319228 KB Output is correct
25 Correct 326 ms 323320 KB Output is correct
26 Correct 320 ms 323192 KB Output is correct
27 Correct 322 ms 323156 KB Output is correct
28 Correct 316 ms 321120 KB Output is correct
29 Correct 330 ms 322288 KB Output is correct
30 Correct 315 ms 322284 KB Output is correct
31 Correct 340 ms 322180 KB Output is correct
32 Correct 534 ms 322076 KB Output is correct
33 Correct 503 ms 350148 KB Output is correct
34 Correct 459 ms 349220 KB Output is correct
35 Correct 446 ms 349164 KB Output is correct
36 Correct 414 ms 348324 KB Output is correct
37 Correct 528 ms 369040 KB Output is correct
38 Correct 527 ms 368836 KB Output is correct
39 Correct 529 ms 369024 KB Output is correct
40 Correct 558 ms 366180 KB Output is correct
41 Correct 444 ms 337736 KB Output is correct
42 Correct 476 ms 341868 KB Output is correct
43 Correct 670 ms 355136 KB Output is correct
44 Correct 724 ms 355536 KB Output is correct
45 Correct 478 ms 338728 KB Output is correct
46 Correct 474 ms 337228 KB Output is correct
47 Correct 624 ms 353480 KB Output is correct
48 Correct 635 ms 353332 KB Output is correct
49 Correct 344 ms 318968 KB Output is correct
50 Correct 342 ms 318972 KB Output is correct
51 Correct 349 ms 318840 KB Output is correct
52 Correct 304 ms 318732 KB Output is correct
53 Correct 350 ms 318828 KB Output is correct
54 Correct 356 ms 318852 KB Output is correct
55 Correct 358 ms 318848 KB Output is correct
56 Correct 354 ms 318836 KB Output is correct
57 Correct 354 ms 318864 KB Output is correct
58 Correct 356 ms 318716 KB Output is correct
59 Correct 354 ms 318840 KB Output is correct
60 Correct 346 ms 318656 KB Output is correct
61 Correct 1207 ms 416792 KB Output is correct
62 Correct 2318 ms 528940 KB Output is correct
63 Correct 2393 ms 529720 KB Output is correct
64 Correct 2356 ms 529868 KB Output is correct
65 Correct 487 ms 355036 KB Output is correct
66 Correct 626 ms 389244 KB Output is correct
67 Correct 650 ms 392312 KB Output is correct
68 Correct 3588 ms 685464 KB Output is correct
69 Correct 2689 ms 667388 KB Output is correct
70 Correct 2924 ms 667552 KB Output is correct
71 Correct 1633 ms 649212 KB Output is correct
72 Correct 3656 ms 931004 KB Output is correct
73 Correct 3793 ms 580680 KB Output is correct
74 Correct 3784 ms 611860 KB Output is correct
75 Execution timed out 5044 ms 751428 KB Time limit exceeded
76 Halted 0 ms 0 KB -