Submission #154477

# Submission time Handle Problem Language Result Execution time Memory
154477 2019-09-22T04:17:39 Z liwi Rectangles (IOI19_rect) C++14
72 / 100
5000 ms 938420 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++){
			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(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++){
			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(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 313 ms 318692 KB Output is correct
2 Correct 317 ms 318840 KB Output is correct
3 Correct 318 ms 318968 KB Output is correct
4 Correct 337 ms 318832 KB Output is correct
5 Correct 316 ms 318840 KB Output is correct
6 Correct 315 ms 318840 KB Output is correct
7 Correct 315 ms 318840 KB Output is correct
8 Correct 373 ms 318704 KB Output is correct
9 Correct 332 ms 318968 KB Output is correct
10 Correct 320 ms 318840 KB Output is correct
11 Correct 314 ms 318820 KB Output is correct
12 Correct 315 ms 318812 KB Output is correct
13 Correct 315 ms 318584 KB Output is correct
14 Correct 322 ms 318792 KB Output is correct
15 Correct 341 ms 318688 KB Output is correct
16 Correct 312 ms 318680 KB Output is correct
17 Correct 364 ms 318584 KB Output is correct
18 Correct 325 ms 318652 KB Output is correct
19 Correct 317 ms 318840 KB Output is correct
20 Correct 328 ms 318864 KB Output is correct
21 Correct 321 ms 318712 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 313 ms 318692 KB Output is correct
2 Correct 317 ms 318840 KB Output is correct
3 Correct 318 ms 318968 KB Output is correct
4 Correct 337 ms 318832 KB Output is correct
5 Correct 316 ms 318840 KB Output is correct
6 Correct 315 ms 318840 KB Output is correct
7 Correct 315 ms 318840 KB Output is correct
8 Correct 373 ms 318704 KB Output is correct
9 Correct 332 ms 318968 KB Output is correct
10 Correct 320 ms 318840 KB Output is correct
11 Correct 314 ms 318820 KB Output is correct
12 Correct 315 ms 318812 KB Output is correct
13 Correct 315 ms 318584 KB Output is correct
14 Correct 322 ms 318792 KB Output is correct
15 Correct 341 ms 318688 KB Output is correct
16 Correct 312 ms 318680 KB Output is correct
17 Correct 316 ms 319608 KB Output is correct
18 Correct 319 ms 319740 KB Output is correct
19 Correct 315 ms 319780 KB Output is correct
20 Correct 315 ms 319352 KB Output is correct
21 Correct 343 ms 319408 KB Output is correct
22 Correct 353 ms 319452 KB Output is correct
23 Correct 357 ms 319396 KB Output is correct
24 Correct 372 ms 319224 KB Output is correct
25 Correct 364 ms 318584 KB Output is correct
26 Correct 325 ms 318652 KB Output is correct
27 Correct 317 ms 318840 KB Output is correct
28 Correct 328 ms 318864 KB Output is correct
29 Correct 321 ms 318712 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 313 ms 318692 KB Output is correct
2 Correct 317 ms 318840 KB Output is correct
3 Correct 318 ms 318968 KB Output is correct
4 Correct 337 ms 318832 KB Output is correct
5 Correct 316 ms 318840 KB Output is correct
6 Correct 315 ms 318840 KB Output is correct
7 Correct 315 ms 318840 KB Output is correct
8 Correct 373 ms 318704 KB Output is correct
9 Correct 332 ms 318968 KB Output is correct
10 Correct 320 ms 318840 KB Output is correct
11 Correct 314 ms 318820 KB Output is correct
12 Correct 315 ms 318812 KB Output is correct
13 Correct 315 ms 318584 KB Output is correct
14 Correct 322 ms 318792 KB Output is correct
15 Correct 341 ms 318688 KB Output is correct
16 Correct 312 ms 318680 KB Output is correct
17 Correct 316 ms 319608 KB Output is correct
18 Correct 319 ms 319740 KB Output is correct
19 Correct 315 ms 319780 KB Output is correct
20 Correct 315 ms 319352 KB Output is correct
21 Correct 343 ms 319408 KB Output is correct
22 Correct 353 ms 319452 KB Output is correct
23 Correct 357 ms 319396 KB Output is correct
24 Correct 372 ms 319224 KB Output is correct
25 Correct 377 ms 323384 KB Output is correct
26 Correct 382 ms 323488 KB Output is correct
27 Correct 328 ms 323540 KB Output is correct
28 Correct 324 ms 321188 KB Output is correct
29 Correct 354 ms 322476 KB Output is correct
30 Correct 334 ms 322572 KB Output is correct
31 Correct 336 ms 322428 KB Output is correct
32 Correct 334 ms 322308 KB Output is correct
33 Correct 364 ms 318584 KB Output is correct
34 Correct 325 ms 318652 KB Output is correct
35 Correct 317 ms 318840 KB Output is correct
36 Correct 328 ms 318864 KB Output is correct
37 Correct 321 ms 318712 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 313 ms 318692 KB Output is correct
2 Correct 317 ms 318840 KB Output is correct
3 Correct 318 ms 318968 KB Output is correct
4 Correct 337 ms 318832 KB Output is correct
5 Correct 316 ms 318840 KB Output is correct
6 Correct 315 ms 318840 KB Output is correct
7 Correct 315 ms 318840 KB Output is correct
8 Correct 373 ms 318704 KB Output is correct
9 Correct 332 ms 318968 KB Output is correct
10 Correct 320 ms 318840 KB Output is correct
11 Correct 314 ms 318820 KB Output is correct
12 Correct 315 ms 318812 KB Output is correct
13 Correct 315 ms 318584 KB Output is correct
14 Correct 322 ms 318792 KB Output is correct
15 Correct 341 ms 318688 KB Output is correct
16 Correct 312 ms 318680 KB Output is correct
17 Correct 316 ms 319608 KB Output is correct
18 Correct 319 ms 319740 KB Output is correct
19 Correct 315 ms 319780 KB Output is correct
20 Correct 315 ms 319352 KB Output is correct
21 Correct 343 ms 319408 KB Output is correct
22 Correct 353 ms 319452 KB Output is correct
23 Correct 357 ms 319396 KB Output is correct
24 Correct 372 ms 319224 KB Output is correct
25 Correct 377 ms 323384 KB Output is correct
26 Correct 382 ms 323488 KB Output is correct
27 Correct 328 ms 323540 KB Output is correct
28 Correct 324 ms 321188 KB Output is correct
29 Correct 354 ms 322476 KB Output is correct
30 Correct 334 ms 322572 KB Output is correct
31 Correct 336 ms 322428 KB Output is correct
32 Correct 334 ms 322308 KB Output is correct
33 Correct 494 ms 353304 KB Output is correct
34 Correct 478 ms 352400 KB Output is correct
35 Correct 459 ms 352364 KB Output is correct
36 Correct 446 ms 351588 KB Output is correct
37 Correct 550 ms 372312 KB Output is correct
38 Correct 620 ms 372308 KB Output is correct
39 Correct 593 ms 372828 KB Output is correct
40 Correct 554 ms 369528 KB Output is correct
41 Correct 446 ms 338748 KB Output is correct
42 Correct 484 ms 342792 KB Output is correct
43 Correct 665 ms 356900 KB Output is correct
44 Correct 685 ms 359292 KB Output is correct
45 Correct 483 ms 340528 KB Output is correct
46 Correct 507 ms 339100 KB Output is correct
47 Correct 635 ms 356232 KB Output is correct
48 Correct 686 ms 357172 KB Output is correct
49 Correct 364 ms 318584 KB Output is correct
50 Correct 325 ms 318652 KB Output is correct
51 Correct 317 ms 318840 KB Output is correct
52 Correct 328 ms 318864 KB Output is correct
53 Correct 321 ms 318712 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 332 ms 319100 KB Output is correct
2 Correct 327 ms 318976 KB Output is correct
3 Correct 331 ms 318760 KB Output is correct
4 Correct 314 ms 318668 KB Output is correct
5 Correct 330 ms 318952 KB Output is correct
6 Correct 330 ms 318968 KB Output is correct
7 Correct 353 ms 319012 KB Output is correct
8 Correct 334 ms 319100 KB Output is correct
9 Correct 332 ms 318988 KB Output is correct
10 Correct 332 ms 318712 KB Output is correct
11 Correct 355 ms 318840 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 329 ms 318740 KB Output is correct
2 Correct 1167 ms 421824 KB Output is correct
3 Correct 2373 ms 536904 KB Output is correct
4 Correct 2425 ms 537912 KB Output is correct
5 Correct 2464 ms 538260 KB Output is correct
6 Correct 491 ms 359416 KB Output is correct
7 Correct 647 ms 397144 KB Output is correct
8 Correct 642 ms 400520 KB Output is correct
9 Correct 364 ms 318584 KB Output is correct
10 Correct 325 ms 318652 KB Output is correct
11 Correct 317 ms 318840 KB Output is correct
12 Correct 328 ms 318864 KB Output is correct
13 Correct 321 ms 318712 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 313 ms 318692 KB Output is correct
2 Correct 317 ms 318840 KB Output is correct
3 Correct 318 ms 318968 KB Output is correct
4 Correct 337 ms 318832 KB Output is correct
5 Correct 316 ms 318840 KB Output is correct
6 Correct 315 ms 318840 KB Output is correct
7 Correct 315 ms 318840 KB Output is correct
8 Correct 373 ms 318704 KB Output is correct
9 Correct 332 ms 318968 KB Output is correct
10 Correct 320 ms 318840 KB Output is correct
11 Correct 314 ms 318820 KB Output is correct
12 Correct 315 ms 318812 KB Output is correct
13 Correct 315 ms 318584 KB Output is correct
14 Correct 322 ms 318792 KB Output is correct
15 Correct 341 ms 318688 KB Output is correct
16 Correct 312 ms 318680 KB Output is correct
17 Correct 316 ms 319608 KB Output is correct
18 Correct 319 ms 319740 KB Output is correct
19 Correct 315 ms 319780 KB Output is correct
20 Correct 315 ms 319352 KB Output is correct
21 Correct 343 ms 319408 KB Output is correct
22 Correct 353 ms 319452 KB Output is correct
23 Correct 357 ms 319396 KB Output is correct
24 Correct 372 ms 319224 KB Output is correct
25 Correct 377 ms 323384 KB Output is correct
26 Correct 382 ms 323488 KB Output is correct
27 Correct 328 ms 323540 KB Output is correct
28 Correct 324 ms 321188 KB Output is correct
29 Correct 354 ms 322476 KB Output is correct
30 Correct 334 ms 322572 KB Output is correct
31 Correct 336 ms 322428 KB Output is correct
32 Correct 334 ms 322308 KB Output is correct
33 Correct 494 ms 353304 KB Output is correct
34 Correct 478 ms 352400 KB Output is correct
35 Correct 459 ms 352364 KB Output is correct
36 Correct 446 ms 351588 KB Output is correct
37 Correct 550 ms 372312 KB Output is correct
38 Correct 620 ms 372308 KB Output is correct
39 Correct 593 ms 372828 KB Output is correct
40 Correct 554 ms 369528 KB Output is correct
41 Correct 446 ms 338748 KB Output is correct
42 Correct 484 ms 342792 KB Output is correct
43 Correct 665 ms 356900 KB Output is correct
44 Correct 685 ms 359292 KB Output is correct
45 Correct 483 ms 340528 KB Output is correct
46 Correct 507 ms 339100 KB Output is correct
47 Correct 635 ms 356232 KB Output is correct
48 Correct 686 ms 357172 KB Output is correct
49 Correct 332 ms 319100 KB Output is correct
50 Correct 327 ms 318976 KB Output is correct
51 Correct 331 ms 318760 KB Output is correct
52 Correct 314 ms 318668 KB Output is correct
53 Correct 330 ms 318952 KB Output is correct
54 Correct 330 ms 318968 KB Output is correct
55 Correct 353 ms 319012 KB Output is correct
56 Correct 334 ms 319100 KB Output is correct
57 Correct 332 ms 318988 KB Output is correct
58 Correct 332 ms 318712 KB Output is correct
59 Correct 355 ms 318840 KB Output is correct
60 Correct 329 ms 318740 KB Output is correct
61 Correct 1167 ms 421824 KB Output is correct
62 Correct 2373 ms 536904 KB Output is correct
63 Correct 2425 ms 537912 KB Output is correct
64 Correct 2464 ms 538260 KB Output is correct
65 Correct 491 ms 359416 KB Output is correct
66 Correct 647 ms 397144 KB Output is correct
67 Correct 642 ms 400520 KB Output is correct
68 Correct 3363 ms 692532 KB Output is correct
69 Correct 2831 ms 674512 KB Output is correct
70 Correct 2611 ms 674556 KB Output is correct
71 Correct 1580 ms 656404 KB Output is correct
72 Correct 3659 ms 938420 KB Output is correct
73 Correct 3741 ms 594276 KB Output is correct
74 Correct 3818 ms 615376 KB Output is correct
75 Execution timed out 5072 ms 754996 KB Time limit exceeded
76 Halted 0 ms 0 KB -