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Submission #595581

# Submission time Handle Problem Language Result Execution time Memory
595581 2022-07-13T20:41:23 Z penguinhacker Street Lamps (APIO19_street_lamps) C++17
100 / 100
 2041 ms 77876 KB 
#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define ar array

const int mxN=3e5;
int n, q, ans[mxN], st[mxN];
string s;
vector<int> changes[mxN];
vector<ar<int, 2>> ls[mxN];
vector<ar<int, 4>> queries;

struct ft {
	ll ft[mxN+1];
	void upd(int i, ll x) {
		for (++i; i<=mxN; i+=i&-i)
			ft[i]+=x;
	}
	ll qry(int i) {
		ll r=0;
		for (++i; i; i-=i&-i)
			r+=ft[i];
		return r;
	}
} ft1, ft2;

void upd(int l, int r, int x) {
	ft1.upd(l, -(ll)(l-1)*x);
	ft2.upd(l, x);
	ft1.upd(r+1, (ll)r*x);
	ft2.upd(r+1, -x);
}

ll qry(int i) {
	return i*ft2.qry(i)+ft1.qry(i);
}

void solve(int l, int r) {
	if (l==r)
		return;
	int mid=(l+r)/2;
	solve(l, mid);
	solve(mid+1, r);
	vector<ar<int, 4>> tmp;
	vector<ar<int, 3>> rb;
	tmp.reserve(r-l+1);
	for (int i=l, j=mid+1; tmp.size()<r-l+1;) {
		if (j>r||i<=mid&&queries[i][0]<=queries[j][0]) {
			if (queries[i][2]!=-1) { // update
				upd(queries[i][1], queries[i][2], queries[i][3]);
				rb.push_back({queries[i][1], queries[i][2], -queries[i][3]});
			}
			tmp.push_back(queries[i++]);
		} else {
			if (queries[j][2]==-1) // query
				ans[queries[j][1]]+=qry(queries[j][1]);
			tmp.push_back(queries[j++]);
		}
	}
	for (int i=l; i<=r; ++i)
		queries[i]=tmp[i-l];
	for (auto [l, r, x] : rb)
		upd(l, r, x);
}

int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	cin >> n >> q >> s;
	for (int i=0; i<n; ++i)
		if (s[i]=='0')
			changes[i].push_back(-1);
	for (int i=0; i<q; ++i) {
		string type;
		cin >> type;
		if (type=="toggle") {
			int x;
			cin >> x, --x;
			changes[x].push_back(i);
			ans[i]=-1;
		} else {
			int l, r;
			cin >> l >> r, --l, r-=2;
			ls[r].push_back({l, i});
		}
	}
	set<ar<int, 3>> s;
	s.insert({0, q-1, 0});
	queries.push_back({0, 0, q-1, 1});
	for (int i=0; i<n; ++i) {
		for (int j=0; j<changes[i].size(); j+=2) {
			int b=j+1<changes[i].size()?changes[i][j+1]:q-1;
			ar<int, 3> seg={changes[i][j]+1, b, i+1};
			auto it=s.lower_bound({seg[0]});
			while(it!=s.end()&&(*it)[0]<=seg[1]) {
				if ((*it)[1]<=seg[1]) { // erase entire segment
					queries.push_back({(*it)[2], (*it)[0], (*it)[1], -1});
					it=s.erase(it);
				} else { // erase part of this segment
					int rb=(*it)[1], val=(*it)[2];
					queries.push_back({val, (*it)[0], seg[1], -1});
					s.erase(it);
					it=s.insert({seg[1]+1, rb, val}).first;
				}
			}
			if (it!=s.begin()) {
				--it;
				if ((*it)[1]>=seg[0]) {
					int l=(*it)[0], r=(*it)[1], val=(*it)[2];
					s.erase(it);
					if (r<=seg[1]) {
						queries.push_back({val, seg[0], r, -1});
						s.insert({l, seg[0]-1, val});
					} else {
						assert(l<seg[0]&&seg[1]<r);
						queries.push_back({val, seg[0], seg[1], -1});
						s.insert({l, seg[0]-1, val});
						s.insert({seg[1]+1, r, val});
					}
				}
			}
			/*while(s.size()) {
				auto it=s.lower_bound({seg[0], -1});
				if (it!=s.end()&&(*it)[0]<=seg[1]) {
					int l=(*it)[0], r=(*it)[1], val=(*it)[2];
					queries.push_back({val, l, min(r, seg[1]), -1});
					s.erase(it);
					if (r>seg[1])
						s.insert({seg[1]+1, r, val});
				} else if (it!=s.begin()) {
					--it;
					int l=(*it)[0], r=(*it)[1], val=(*it)[2];
					if (r>=seg[0]) {
						assert(l<seg[0]);
						queries.push_back({val, seg[0], r, -1});
						s.erase(it);
						s.insert({l, seg[0]-1, val});
					} else
						break;
				} else
					break;
			}*/
			queries.push_back({seg[2], seg[0], seg[1], 1});
			s.insert(seg);
		}
		for (auto [l, t] : ls[i])
			queries.push_back({l, t, -1});
	}
	//for (auto x : queries)
	//	cout << x[0] << " " << x[1] << " " << x[2] << " " << x[3] << endl;
	solve(0, queries.size()-1);
	for (int i=0; i<q; ++i)
		if (~ans[i])
			cout << ans[i] << "\n";
	return 0;
}

Compilation message

street_lamps.cpp: In function 'void solve(int, int)':
street_lamps.cpp:48:35: warning: comparison of integer expressions of different signedness: 'std::vector<std::array<int, 4> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   48 |  for (int i=l, j=mid+1; tmp.size()<r-l+1;) {
      |                         ~~~~~~~~~~^~~~~~
street_lamps.cpp:49:18: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
   49 |   if (j>r||i<=mid&&queries[i][0]<=queries[j][0]) {
street_lamps.cpp: In function 'int main()':
street_lamps.cpp:92:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   92 |   for (int j=0; j<changes[i].size(); j+=2) {
      |                 ~^~~~~~~~~~~~~~~~~~
street_lamps.cpp:93:13: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   93 |    int b=j+1<changes[i].size()?changes[i][j+1]:q-1;
      |          ~~~^~~~~~~~~~~~~~~~~~

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 14420 KB Output is correct
2 Correct 9 ms 14432 KB Output is correct
3 Correct 11 ms 14476 KB Output is correct
4 Correct 10 ms 14424 KB Output is correct
5 Correct 8 ms 14428 KB Output is correct
6 Correct 12 ms 14512 KB Output is correct
7 Correct 10 ms 14420 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 856 ms 42748 KB Output is correct
2 Correct 873 ms 46320 KB Output is correct
3 Correct 868 ms 47568 KB Output is correct
4 Correct 1404 ms 69092 KB Output is correct
5 Correct 1302 ms 57932 KB Output is correct
6 Correct 1680 ms 68004 KB Output is correct
7 Correct 1433 ms 77700 KB Output is correct
8 Correct 277 ms 40096 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 14676 KB Output is correct
2 Correct 12 ms 14608 KB Output is correct
3 Correct 10 ms 14520 KB Output is correct
4 Correct 8 ms 14548 KB Output is correct
5 Correct 2041 ms 70692 KB Output is correct
6 Correct 1683 ms 62128 KB Output is correct
7 Correct 1073 ms 52480 KB Output is correct
8 Correct 331 ms 33756 KB Output is correct
9 Correct 165 ms 28688 KB Output is correct
10 Correct 194 ms 30824 KB Output is correct
11 Correct 206 ms 29472 KB Output is correct
12 Correct 1444 ms 71916 KB Output is correct
13 Correct 319 ms 33576 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 14548 KB Output is correct
2 Correct 13 ms 14560 KB Output is correct
3 Correct 12 ms 14668 KB Output is correct
4 Correct 13 ms 14676 KB Output is correct
5 Correct 1033 ms 53064 KB Output is correct
6 Correct 1132 ms 58836 KB Output is correct
7 Correct 1473 ms 63284 KB Output is correct
8 Correct 1759 ms 69116 KB Output is correct
9 Correct 939 ms 45208 KB Output is correct
10 Correct 1111 ms 53284 KB Output is correct
11 Correct 919 ms 48388 KB Output is correct
12 Correct 1165 ms 53240 KB Output is correct
13 Correct 918 ms 48424 KB Output is correct
14 Correct 1206 ms 53220 KB Output is correct
15 Correct 1488 ms 77876 KB Output is correct
16 Correct 304 ms 39540 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 14420 KB Output is correct
2 Correct 9 ms 14432 KB Output is correct
3 Correct 11 ms 14476 KB Output is correct
4 Correct 10 ms 14424 KB Output is correct
5 Correct 8 ms 14428 KB Output is correct
6 Correct 12 ms 14512 KB Output is correct
7 Correct 10 ms 14420 KB Output is correct
8 Correct 856 ms 42748 KB Output is correct
9 Correct 873 ms 46320 KB Output is correct
10 Correct 868 ms 47568 KB Output is correct
11 Correct 1404 ms 69092 KB Output is correct
12 Correct 1302 ms 57932 KB Output is correct
13 Correct 1680 ms 68004 KB Output is correct
14 Correct 1433 ms 77700 KB Output is correct
15 Correct 277 ms 40096 KB Output is correct
16 Correct 13 ms 14676 KB Output is correct
17 Correct 12 ms 14608 KB Output is correct
18 Correct 10 ms 14520 KB Output is correct
19 Correct 8 ms 14548 KB Output is correct
20 Correct 2041 ms 70692 KB Output is correct
21 Correct 1683 ms 62128 KB Output is correct
22 Correct 1073 ms 52480 KB Output is correct
23 Correct 331 ms 33756 KB Output is correct
24 Correct 165 ms 28688 KB Output is correct
25 Correct 194 ms 30824 KB Output is correct
26 Correct 206 ms 29472 KB Output is correct
27 Correct 1444 ms 71916 KB Output is correct
28 Correct 319 ms 33576 KB Output is correct
29 Correct 10 ms 14548 KB Output is correct
30 Correct 13 ms 14560 KB Output is correct
31 Correct 12 ms 14668 KB Output is correct
32 Correct 13 ms 14676 KB Output is correct
33 Correct 1033 ms 53064 KB Output is correct
34 Correct 1132 ms 58836 KB Output is correct
35 Correct 1473 ms 63284 KB Output is correct
36 Correct 1759 ms 69116 KB Output is correct
37 Correct 939 ms 45208 KB Output is correct
38 Correct 1111 ms 53284 KB Output is correct
39 Correct 919 ms 48388 KB Output is correct
40 Correct 1165 ms 53240 KB Output is correct
41 Correct 918 ms 48424 KB Output is correct
42 Correct 1206 ms 53220 KB Output is correct
43 Correct 1488 ms 77876 KB Output is correct
44 Correct 304 ms 39540 KB Output is correct
45 Correct 444 ms 35396 KB Output is correct
46 Correct 563 ms 35376 KB Output is correct
47 Correct 754 ms 43664 KB Output is correct
48 Correct 1676 ms 69252 KB Output is correct
49 Correct 246 ms 35560 KB Output is correct
50 Correct 207 ms 36264 KB Output is correct
51 Correct 219 ms 35200 KB Output is correct
52 Correct 207 ms 34652 KB Output is correct
53 Correct 234 ms 34688 KB Output is correct
54 Correct 203 ms 34744 KB Output is correct