oj.uz

Submission #939866

# Submission time Handle Problem Language Result Execution time Memory
939866 2024-03-06T21:27:36 Z Litusiano Progression (NOI20_progression) C++17
57 / 100
 927 ms 91456 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};
			if(lazy[2*k].first) set(2*k,lazy[k].second+lazy[2*k].second,l,m);
			else add(2*k, lazy[k].second, l,m);
			// if(lazy[2*k+1].first == 1) lazy[2*k+1] = {0,0};
			if(lazy[2*k+1].first) set(2*k+1,lazy[k].second+lazy[2*k+1].second,m+1,r);
			else 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) set(k,v + lazy[k].second, l,r);
				else 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:175:6: warning: unused variable 'val' [-Wunused-variable]
  175 |  int val = v[0];
      |      ^~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 379 ms 90824 KB Output is correct
2 Correct 107 ms 600 KB Output is correct
3 Correct 106 ms 608 KB Output is correct
4 Correct 104 ms 596 KB Output is correct
5 Correct 109 ms 668 KB Output is correct
6 Correct 119 ms 596 KB Output is correct
7 Correct 106 ms 704 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 364 ms 91216 KB Output is correct
12 Correct 363 ms 89800 KB Output is correct
13 Correct 364 ms 89796 KB Output is correct
14 Correct 356 ms 91456 KB Output is correct
15 Correct 368 ms 89796 KB Output is correct
16 Correct 364 ms 91076 KB Output is correct
17 Correct 364 ms 90472 KB Output is correct
18 Correct 376 ms 90052 KB Output is correct

Subtask #2
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 600 KB Output is correct
2 Correct 1 ms 344 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 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 2 ms 604 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 2 ms 604 KB Output is correct
15 Correct 2 ms 604 KB Output is correct
16 Correct 2 ms 648 KB Output is correct
17 Correct 2 ms 604 KB Output is correct
18 Correct 2 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 349 ms 90308 KB Output is correct
2 Correct 89 ms 1040 KB Output is correct
3 Correct 111 ms 852 KB Output is correct
4 Correct 74 ms 992 KB Output is correct
5 Correct 82 ms 876 KB Output is correct
6 Correct 83 ms 1048 KB Output is correct
7 Correct 86 ms 924 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 377 ms 89800 KB Output is correct
12 Correct 355 ms 90988 KB Output is correct
13 Correct 343 ms 90472 KB Output is correct
14 Correct 344 ms 91088 KB Output is correct
15 Correct 349 ms 89720 KB Output is correct
16 Correct 338 ms 91148 KB Output is correct
17 Correct 329 ms 90320 KB Output is correct
18 Correct 331 ms 90048 KB Output is correct
19 Correct 297 ms 90220 KB Output is correct
20 Correct 328 ms 89772 KB Output is correct
21 Correct 294 ms 90056 KB Output is correct

Subtask #4
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 699 ms 89544 KB Output is correct
2 Incorrect 160 ms 984 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 349 ms 90308 KB Output is correct
2 Correct 89 ms 1040 KB Output is correct
3 Correct 111 ms 852 KB Output is correct
4 Correct 74 ms 992 KB Output is correct
5 Correct 82 ms 876 KB Output is correct
6 Correct 83 ms 1048 KB Output is correct
7 Correct 86 ms 924 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 377 ms 89800 KB Output is correct
12 Correct 355 ms 90988 KB Output is correct
13 Correct 343 ms 90472 KB Output is correct
14 Correct 344 ms 91088 KB Output is correct
15 Correct 349 ms 89720 KB Output is correct
16 Correct 338 ms 91148 KB Output is correct
17 Correct 329 ms 90320 KB Output is correct
18 Correct 331 ms 90048 KB Output is correct
19 Correct 297 ms 90220 KB Output is correct
20 Correct 328 ms 89772 KB Output is correct
21 Correct 294 ms 90056 KB Output is correct
22 Correct 784 ms 90740 KB Output is correct
23 Correct 144 ms 564 KB Output is correct
24 Correct 137 ms 508 KB Output is correct
25 Correct 137 ms 812 KB Output is correct
26 Correct 146 ms 1364 KB Output is correct
27 Correct 142 ms 592 KB Output is correct
28 Correct 143 ms 600 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 927 ms 90632 KB Output is correct
33 Correct 766 ms 90060 KB Output is correct
34 Correct 833 ms 90564 KB Output is correct
35 Correct 807 ms 91332 KB Output is correct
36 Correct 688 ms 89544 KB Output is correct
37 Correct 654 ms 89552 KB Output is correct
38 Correct 663 ms 91340 KB Output is correct
39 Correct 840 ms 90308 KB Output is correct
40 Correct 832 ms 90564 KB Output is correct
41 Correct 816 ms 90988 KB Output is correct
42 Correct 817 ms 90060 KB Output is correct
43 Correct 808 ms 89704 KB Output is correct
44 Correct 806 ms 90820 KB Output is correct
45 Correct 808 ms 91080 KB Output is correct

Subtask #6
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 379 ms 90824 KB Output is correct
2 Correct 107 ms 600 KB Output is correct
3 Correct 106 ms 608 KB Output is correct
4 Correct 104 ms 596 KB Output is correct
5 Correct 109 ms 668 KB Output is correct
6 Correct 119 ms 596 KB Output is correct
7 Correct 106 ms 704 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 364 ms 91216 KB Output is correct
12 Correct 363 ms 89800 KB Output is correct
13 Correct 364 ms 89796 KB Output is correct
14 Correct 356 ms 91456 KB Output is correct
15 Correct 368 ms 89796 KB Output is correct
16 Correct 364 ms 91076 KB Output is correct
17 Correct 364 ms 90472 KB Output is correct
18 Correct 376 ms 90052 KB Output is correct
19 Correct 2 ms 600 KB Output is correct
20 Correct 1 ms 344 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 604 KB Output is correct
29 Correct 1 ms 604 KB Output is correct
30 Correct 2 ms 604 KB Output is correct
31 Correct 1 ms 604 KB Output is correct
32 Correct 2 ms 604 KB Output is correct
33 Correct 2 ms 604 KB Output is correct
34 Correct 2 ms 648 KB Output is correct
35 Correct 2 ms 604 KB Output is correct
36 Correct 2 ms 604 KB Output is correct
37 Incorrect 1 ms 344 KB Output isn't correct
38 Halted 0 ms 0 KB -