oj.uz

Submission #939865

# Submission time Handle Problem Language Result Execution time Memory
939865 2024-03-06T21:23:33 Z Litusiano Progression (NOI20_progression) C++17
57 / 100
 934 ms 91344 KB 
#include<bits/stdc++.h>
using namespace std;
#define int long long
#define endl "\n"
const int INF = 1e15;
struct Node{
	pair<int,int> mxl = {-INF,INF}; // tot, val
	pair<int,int> mxr = {-INF,INF}; // tot, val
	pair<int,int> tot = {-INF,INF}; // tot, val
	int sz = 1;
	int sum = 0;
};	

struct SegTree{
	int n;
	vector<Node> seg; //mxl, 	
	vector<pair<bool,int>> lazy; // 0 add, 1 set

	Node merge(Node idx, Node idx1){
		Node ans;
		ans.sz = idx.sz + idx1.sz;
		ans.sum = idx.sum + idx1.sum;
		// if(idx.mxl.first == -INF && idx1.mxl.first == -INF) return ans; // both are null nodes
		// if(idx1.mxl.first == -INF) return idx; // just second is a null node
		// if(idx.mxl.first == -INF) return idx1;
		ans.mxl = idx.mxl;
		pair<int,int> templeft = idx.mxl; //idx ALWAYS IN THE LEFT 
		if(idx.mxl.first == idx.sz){
			if(idx1.mxl.second == idx.mxl.second) templeft = {idx.sz + idx1.mxl.first, idx1.mxl.second};// join both lefts
			else templeft = idx.mxl;
		}
		ans.mxl = max(ans.mxl, templeft); // take max
		// repeat for right
		ans.mxr = idx1.mxr;
		pair<int,int> tempright = idx1.mxr; 
		if(idx1.mxr.first == idx1.sz){
			if(idx1.mxr.second == idx.mxr.second) tempright = {idx1.sz + idx.mxr.first, idx.mxr.second};// join both lefts
			else tempright = idx1.mxr;
		}
		ans.mxr = max(ans.mxr, tempright); // take max

		// TAKE TOTAL
		ans.tot = max(ans.mxl, ans.mxr); 
		ans.tot = max(idx.tot,idx1.tot);
		// JOIN THE MIDDLE, idx right and idx1 left
		pair<int,int> temptot = ans.tot;
		if(idx.mxr.second == idx1.mxl.second){
			temptot = {idx.mxr.first + idx1.mxl.first, idx.mxr.second};
		}
		ans.tot = max(ans.tot, temptot);
		return ans;
	}

	void build(vector<int> v){
		int n1 = v.size();
		n = 1;
		while(n < n1){
			n*=2; 
		}
		Node tmpn;
		// cerr<<endl;
		seg.assign(2*n, tmpn); lazy.assign(2*n, {0,0});
		for(int i = 0; i<n1; i++){
			// cerr<<v[i]<<" ";
			seg[i+n].mxl = seg[i+n].mxr = seg[i+n].tot = {1,v[i]};
			seg[i+n].sz = 1;
			seg[i+n].sum = v[i];
		}
		// cerr<<endl;
		for(int i = n-1; i>=1; i--){
			// cout<<"BUILDING Seg "<<i<<" from seg 2*i = "<<seg[2*i].tot.first<<" "<<seg[2*i].tot.second<<" and seg 2*i+1 "<<seg[2*i+1].tot.first<<" "<<seg[2*i+1].tot.second<<endl;
			seg[i] = merge(seg[2*i], seg[2*i+1]);
		}
	}
	void add(int idx, int v, int l, int r){
		seg[idx].sum += v * (r-l+1);
		lazy[idx].second += v;
		seg[idx].mxl.second += v;
		seg[idx].mxr.second += v;
		seg[idx].tot.second += v;
	}
	void set(int idx, int v, int l, int r){
		seg[idx].sum = (r-l+1) * v;
		lazy[idx].first = 1;
		lazy[idx].second = v;
		seg[idx].mxl.second = v;
		seg[idx].mxl.first = (r-l+1); // bad for when updating from update and not from push down
		seg[idx].mxr.second = v;
		seg[idx].mxr.first = (r-l+1);
		seg[idx].tot.second = v;
		seg[idx].tot.first = (r-l+1);
	}
	void PushDown(int k, int l, int r){
		if(lazy[k].first == 0){
			//add
			// if(lazy[k].second == 0) return;	
			int m = (l+r)/2;
			// if(lazy[2*k].first == 1) lazy[2*k] = {0,0};
			add(2*k, lazy[k].second, l,m);
			// if(lazy[2*k+1].first == 1) lazy[2*k+1] = {0,0};
			add(2*k+1,lazy[k].second, m+1, r);
		}
		else{
			//set
			int m = (l+r)/2;
			// cout<<"K: "<<lazy[k].second<<endl;
			set(2*k, lazy[k].second, l, m);
			set(2*k+1,lazy[k].second,m+1,r);
		}
		lazy[k] = {0,0};
	}
	Node query(int ql, int qr, int k, int l, int r){
		if(ql <= l && r <= qr) return seg[k];
		if(l > qr || r < ql){
			Node tmp;
			return tmp;
		}
		PushDown(k,l,r);
		int m = (l+r)/2;
		Node x = query(ql,qr,2*k,l,m);
		Node y = query(ql,qr,2*k+1,m+1,r);
		return merge(x,y);
	}
	int query(int ql, int qr){
		Node x = query(ql,qr,1,0,n-1);
		// cout<<"X "<<ql<<" "<<qr<<" "<<x.tot.first<<" "<<x.tot.second<<endl;
		return x.tot.first;
	}
	int query1(int ql, int qr){
		Node x = query(ql,qr,1,0,n-1);
		// cout<<"X "<<ql<<" "<<qr<<" "<<x.tot.first<<" "<<x.tot.second<<endl;
		return x.tot.second;
	}
	void update(int ql, int qr, int tp, int v, int k, int l, int r){
		if(ql <= l && r <= qr){
			if(tp == 0){
				// add				
				// if(lazy[k].first == 1) lazy[k] = {0,0};
				add(k,v,l,r);
				return;
			}
			else{
				// cout<<"HERE "<<k<<" "<<ql<<" "<<qr<<"  "<<l<<" "<<r<<" "<<v<<" 	 ";
				set(k,v,l,r);
				// cout<<seg[k].tot.first<<" "<<seg[k].tot.second<<endl;
				return;
			}
		}
		if(l > qr || r < ql) return;
		PushDown(k,l,r);
		int m = (l+r)/2;
		update(ql,qr,tp,v, 2*k,l,m);
		update(ql,qr,tp,v, 2*k+1, m+1,r);
		seg[k] = merge(seg[2*k], seg[2*k+1]);
	}
	void update(int ql, int qr, int tp, int v){
		if(ql > qr) return;
		update(ql,qr,tp,v,1, 0,n-1);
	}
	int sum(int ql, int qr){
		return query(ql,qr,1,0,n-1).sum;
	}
};

signed main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	int n,q; cin>>n>>q;
	vector<int> v(n); for(int& i : v) cin>>i;
	vector<int> dif;
	for(int i = 1; i<n; i++) dif.push_back(v[i-1] - v[i]);
	SegTree seg; seg.build(dif);
	int val = v[0];
	while(q--){
		int tp; cin>>tp;
		if(tp == 1){
			//add
			int l,r; cin>>l>>r; l--; r--;
			int s,c; cin>>s>>c;
			// cout<<"BEFORE UPDATE: ";
			// for(int i = 0; i<n-1; i++){
			// 	cout<<seg.query1(i,i)<<" ";
			// }
			// cout<<endl;
			if(l == 0) v[0] += s;
			seg.update(l,r-1,0,-c);
			seg.update(r,r,0,s + (r-l)*c);
			if(l) seg.update(l-1,l-1,0,-s);
			// cout<<"AFTER UPDATE1: ";
			// for(int i = 0; i<n-1; i++){
			// 	cout<<seg.query1(i,i)<<" ";
			// }
			// cout<<endl<<endl;
		}
		else if(tp == 2){
			int l,r; cin>>l>>r; int s,c; cin>>s>>c; l--; r--;
			// seg.update(l,r-1,1,c); // set differences
			int sum = v[0];
			// cout<<"BEFORE UPDATE2: ";
			// for(int i = 0; i<n-1; i++){
			// 	cout<<seg.query1(i,i)<<" ";
			// }
			// cout<<endl;
			if(l>1) sum-=seg.sum(0,l-2);
			int val = s + (r-l)*c;
			int sum1 = v[0];
			if(r) sum1-=seg.sum(0,r);
			if(l == 0) v[0] = s;
			if(l) seg.update(l-1, l-1, 1, -(s-sum));
			if(r < n) seg.update(r,r,1, (val-sum1));
			seg.update(l,r-1,1,-c);
			// cout<<"VAL "<<val<<" "<<sum1<<" Other: "<<s<<" "<<sum<<endl;
			// cout<<"AFTER UPDATE2: ";
			// for(int i = 0; i<n-1; i++){
			// 	cout<<seg.query1(i,i)<<" ";
			// }
			// cout<<endl<<endl;
		}
		else{
			int l,r; cin>>l>>r; l--; r--;
			if(l == r){
				cout<<1<<endl; continue;
			}
			// cerr<<endl<<l<<" "<<r-1<<endl;
			cout<<seg.query(l,r-1)+1<<endl;
		}
	}
}

Compilation message

Progression.cpp: In function 'int main()':
Progression.cpp:173:6: warning: unused variable 'val' [-Wunused-variable]
  173 |  int val = v[0];
      |      ^~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 380 ms 91116 KB Output is correct
2 Correct 104 ms 596 KB Output is correct
3 Correct 104 ms 512 KB Output is correct
4 Correct 104 ms 592 KB Output is correct
5 Correct 104 ms 592 KB Output is correct
6 Correct 111 ms 848 KB Output is correct
7 Correct 116 ms 596 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 359 ms 89972 KB Output is correct
12 Correct 355 ms 89480 KB Output is correct
13 Correct 354 ms 90820 KB Output is correct
14 Correct 355 ms 89808 KB Output is correct
15 Correct 354 ms 89652 KB Output is correct
16 Correct 355 ms 89892 KB Output is correct
17 Correct 395 ms 90308 KB Output is correct
18 Correct 360 ms 90568 KB Output is correct

Subtask #2
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 604 KB Output is correct
2 Correct 1 ms 464 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 2 ms 604 KB Output is correct
9 Correct 2 ms 604 KB Output is correct
10 Correct 2 ms 600 KB Output is correct
11 Correct 1 ms 600 KB Output is correct
12 Correct 2 ms 604 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 2 ms 604 KB Output is correct
16 Correct 2 ms 604 KB Output is correct
17 Correct 2 ms 604 KB Output is correct
18 Correct 3 ms 604 KB Output is correct
19 Incorrect 1 ms 344 KB Output isn't correct
20 Halted 0 ms 0 KB -

Subtask #3
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 355 ms 90464 KB Output is correct
2 Correct 92 ms 1004 KB Output is correct
3 Correct 86 ms 944 KB Output is correct
4 Correct 73 ms 1408 KB Output is correct
5 Correct 103 ms 984 KB Output is correct
6 Correct 82 ms 1108 KB Output is correct
7 Correct 82 ms 1104 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 338 ms 89808 KB Output is correct
12 Correct 376 ms 91344 KB Output is correct
13 Correct 345 ms 90820 KB Output is correct
14 Correct 355 ms 90820 KB Output is correct
15 Correct 354 ms 90316 KB Output is correct
16 Correct 382 ms 90716 KB Output is correct
17 Correct 341 ms 91076 KB Output is correct
18 Correct 352 ms 90052 KB Output is correct
19 Correct 305 ms 90576 KB Output is correct
20 Correct 335 ms 90056 KB Output is correct
21 Correct 306 ms 90052 KB Output is correct

Subtask #4
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 729 ms 89692 KB Output is correct
2 Incorrect 151 ms 632 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 355 ms 90464 KB Output is correct
2 Correct 92 ms 1004 KB Output is correct
3 Correct 86 ms 944 KB Output is correct
4 Correct 73 ms 1408 KB Output is correct
5 Correct 103 ms 984 KB Output is correct
6 Correct 82 ms 1108 KB Output is correct
7 Correct 82 ms 1104 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 338 ms 89808 KB Output is correct
12 Correct 376 ms 91344 KB Output is correct
13 Correct 345 ms 90820 KB Output is correct
14 Correct 355 ms 90820 KB Output is correct
15 Correct 354 ms 90316 KB Output is correct
16 Correct 382 ms 90716 KB Output is correct
17 Correct 341 ms 91076 KB Output is correct
18 Correct 352 ms 90052 KB Output is correct
19 Correct 305 ms 90576 KB Output is correct
20 Correct 335 ms 90056 KB Output is correct
21 Correct 306 ms 90052 KB Output is correct
22 Correct 806 ms 90388 KB Output is correct
23 Correct 153 ms 848 KB Output is correct
24 Correct 144 ms 516 KB Output is correct
25 Correct 137 ms 596 KB Output is correct
26 Correct 147 ms 628 KB Output is correct
27 Correct 141 ms 520 KB Output is correct
28 Correct 142 ms 908 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 853 ms 90736 KB Output is correct
33 Correct 803 ms 90820 KB Output is correct
34 Correct 827 ms 91088 KB Output is correct
35 Correct 934 ms 89872 KB Output is correct
36 Correct 684 ms 90312 KB Output is correct
37 Correct 669 ms 90828 KB Output is correct
38 Correct 689 ms 89544 KB Output is correct
39 Correct 840 ms 90820 KB Output is correct
40 Correct 813 ms 90700 KB Output is correct
41 Correct 868 ms 89668 KB Output is correct
42 Correct 828 ms 90320 KB Output is correct
43 Correct 842 ms 91168 KB Output is correct
44 Correct 807 ms 89800 KB Output is correct
45 Correct 845 ms 90312 KB Output is correct

Subtask #6
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 380 ms 91116 KB Output is correct
2 Correct 104 ms 596 KB Output is correct
3 Correct 104 ms 512 KB Output is correct
4 Correct 104 ms 592 KB Output is correct
5 Correct 104 ms 592 KB Output is correct
6 Correct 111 ms 848 KB Output is correct
7 Correct 116 ms 596 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 359 ms 89972 KB Output is correct
12 Correct 355 ms 89480 KB Output is correct
13 Correct 354 ms 90820 KB Output is correct
14 Correct 355 ms 89808 KB Output is correct
15 Correct 354 ms 89652 KB Output is correct
16 Correct 355 ms 89892 KB Output is correct
17 Correct 395 ms 90308 KB Output is correct
18 Correct 360 ms 90568 KB Output is correct
19 Correct 2 ms 604 KB Output is correct
20 Correct 1 ms 464 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 2 ms 604 KB Output is correct
27 Correct 2 ms 604 KB Output is correct
28 Correct 2 ms 600 KB Output is correct
29 Correct 1 ms 600 KB Output is correct
30 Correct 2 ms 604 KB Output is correct
31 Correct 1 ms 604 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 2 ms 604 KB Output is correct
34 Correct 2 ms 604 KB Output is correct
35 Correct 2 ms 604 KB Output is correct
36 Correct 3 ms 604 KB Output is correct
37 Incorrect 1 ms 344 KB Output isn't correct
38 Halted 0 ms 0 KB -