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vito1036's blog

Croatian Open Competition in Informatics (COCI) 2023/2024 — Round #2

By vito1036, history, 11 months ago, In English

Hi everyone!

The second round of COCI will be held this Saturday, December 2nd at 14:00 UTC. You can access the judging system here. If you are not familiar with COCI contest format, we encourage you to read the announcement.

The round was prepared by ToniB, Agnus, fbabic, mlicul and me.

Feel free to discuss the problems in the comment section after the contest ends.

Hope to see you and good luck!

coci, contest, croatia, bitset

vito1036
11 months ago
17

Comments (17)

Write comment?

amin_2008

11 months ago, # |

+19

why is there a bitset in tags ?

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Aliyyiakbar

11 months ago, # ^ |

+48

They're neccesary in COCI contests

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terracottalite

11 months ago, # |

← Rev. 2 →

+19

The judge and https://hsin.hr/coci/ conflict about the start time? It seems the judge is crotia time and the announcment page is UTC, but both say 14.00. Can you clarify this?

→ Reply

Abito

11 months ago, # ^ |

→ Reply

vito1036

11 months ago, # ^ |

← Rev. 2 →

+11

Thanks for the info! The judge starting time is wrong. The round will start at 14:00 UTC. UPD: it's fixed now.

→ Reply

vito1036

11 months ago, # |

← Rev. 2 →

+17

Reminder: the contest starts in one hour.

→ Reply

WeaponizedAutist

11 months ago, # |

← Rev. 2 →

Feedback:

Task 1: Meh
Task 2: Meh
Task 3: Cute task, enjoyed it.
Task 4: A bit standard, but ok. Perhaps this should have had slightly less points?
Task 5: Again, a bit standard but a decent educational problem.

Overall, problems were good quality and educational, kind of like old style cf problems. The contest would have been more enjoyable if either task 1 or task 2 was replaced by a harder problem.

Edit: Also, the tests for task 3 might be a bit weak. My first submission had a very critical bug (which was not dependent on n) but it passed all test cases of the first 3 subtasks and 13/15 test cases of the last subtask.

→ Reply

NeroZein

11 months ago, # |

+19

This is the first time I AK an OI contest, it feels amazing !

I feel problems are a little bit easier than usual, but I still enjoyed the contest, well done.

→ Reply

Tima19

11 months ago, # |

where can i upsolve?

→ Reply

AndiR

11 months ago, # ^ |

https://evaluator.hsin.hr/tasks/

HONI -> 2023./2024. -> 2. kolo

→ Reply

Halym2007

11 months ago, # |

← Rev. 2 →

Problems was very good.But I solved 1-st problem full.other problems I got some subtasks.Can you share your idea for problems?

→ Reply

DinoHadzic

11 months ago, # |

← Rev. 2 →

There is $$$O((n+q)\log{}n)$$$ solution for Dizalo...

Hint

Code

#include <bits/stdc++.h>

#define ll long long
#define F first
#define S second
#define all(x) x.begin(), x.end()
#define pb push_back
#define FIO ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0)

using namespace std;

typedef pair <int, int> pii;

const int N = 1e5 + 7, inf = 1e9, ofs = (1 << 17);

int n, q;
int a[N], ti[N], va[N];
bool spe[N], del[N];
vector <int> wh[N];

struct fe {
	int fen[N] = {0};
	void Add(int x, int val) {for (; x < N; x += x & -x) fen[x] += val;}
	int Query(int x) {int out = 0; for (; x; x -= x & -x) out += fen[x]; return out;}
};

int t[2*ofs];
void Update(int x, int val) {
	x += ofs; t[x] = val;
	while (x /= 2) t[x] = max(t[2*x], t[2*x+1]);
}
int Query(int x, int l, int r, int lo = 0, int hi = ofs-1) {
	if (r < lo || hi < l) return 0;
	if (l <= lo && hi <= r) return t[x];
	int mid = (lo+hi)/2;
	return max(Query(2*x, l, r, lo, mid), Query(2*x+1, l, r, mid+1, hi));
}

int main () {
	FIO;
	cin >> n >> q;
	
	fe f1, f2, f3;
	
	for (int i = 1; i <= n; i++) ti[i] = q+1;
	for (int i = 1; i <= n; i++) {
		cin >> a[i];
		ti[i] = q+1;
		f1.Add(i, 1);
		f2.Add(i, 1);
	}
	for (int i = 1; i <= q; i++) {
		cin >> va[i];
		ti[va[i]] = i;
	}
	
	for (int i = n; i; i--) {
		wh[Query(1, 0, a[i]-1)].pb(i);
		Update(a[i], ti[i]);
	}
	
	ll sum = 0;
	set <pii> s;
	s.insert({0, 0}); s.insert({n+1, n+1});
	
	for (auto y : wh[0]) {
		sum += y-a[y];
		f3.Add(y, 1);
		spe[y] = 1;
		s.insert({a[y], y});
	}
	
	cout << sum+n << " ";
	for (int j = 1; j <= q; j++) {
		int x = va[j];
		del[x] = 1;
		
		if (spe[x]) {
			f3.Add(x, -1);
			sum -= f1.Query(x) - f2.Query(a[x]);
			s.erase({a[x], x});
		}
		else sum -= f3.Query((--s.lower_bound({a[x], 0})) -> S) - f3.Query(x);
		f1.Add(x, -1);
		f2.Add(a[x], -1);
		
		for (auto y : wh[j]) {
			if (del[y]) continue;
			spe[y] = 1;
			f3.Add(y, 1);
			s.insert({a[y], y});
			sum += f1.Query(y) - f2.Query(a[y]);
		}
		
		cout << sum+n-j << " ";
	}

	return 0;
}

→ Reply

ToniB

11 months ago, # ^ |

← Rev. 2 →

+13

You can do it online with the same complexity.

Code

#include <bits/stdc++.h>

using namespace std;

const int MAXN = 1e5 + 2;
const int OFF = 1 << 18;

int n, q, a[MAXN], inv[MAXN];
long long ans;
set<int> suffix_min;

struct Fenwick {
	int fen[MAXN] = {0};

	void add(int x, int val = 1) {
		for (++x; x <= n; x += x & -x) fen[x] += val;
	}
	int count(int x) {
		int ret = 0;
		for (++x; x; x -= x & -x) ret += fen[x];
		return ret;
	}
	int count(int l, int r) {
		return count(r) - count(l - 1);
	}

} removed_values, removed_indices, marked_values, marked_indices;

struct Tournament {
	int tour[OFF] = {0};

	void update(int i, int val, int x = 0, int l = 0, int r = n - 1) {
		if (l > i || r < i) return ;
		if (l == r) {
			tour[x] = val; return ;
		}
		int mid = (l + r) >> 1;
		update(i, val, x * 2 + 1, l, mid);
		update(i, val, x * 2 + 2, mid + 1, r);

		tour[x] = min(tour[x * 2 + 1], tour[x * 2 + 2]);
	}

	int query(int ql, int qr, int x = 0, int l = 0, int r = n - 1) {
		if (ql <= l && r <= qr) return tour[x];
		if (ql > r || l > qr) return n;

		int mid = (l + r) >> 1;
		return min(query(ql, qr, x * 2 + 1, l, mid), query(ql, qr, x * 2 + 2, mid + 1, r));
	}

} values;

void mark(int i) {
	suffix_min.insert(i);
	marked_indices.add(i);
	marked_values.add(a[i]);

	ans += (i - removed_indices.count(i)) - (a[i] - removed_values.count(a[i]));
}

void unmark(int i) {
	ans -= (i - removed_indices.count(i)) - (a[i] - removed_values.count(a[i]));
	marked_indices.add(i, -1);
	marked_values.add(a[i], -1);

	int L = n, R = 0;
	auto it = suffix_min.find(i);

	if (++it != suffix_min.end()) R = *it;
	else R = n;
	--it;

	if (it != suffix_min.begin()) L = (*--it) + 1;
	else L = 0;

	suffix_min.erase(suffix_min.find(i));

	while (L < R) {
		int j = values.query(L, R - 1);
		if (j == n) break;

		j = inv[j];
		if (a[j] < ((R == n) ? n : a[R])) mark(j);

		L = j + 1;
	}

}

int main() {

	cin >> n >> q;

	for (int i = 0; i < n; ++i) {
		cin >> a[i], --a[i];

		values.update(i, a[i]);
		inv[a[i]] = i;
	}

	int cur = n;
	for (int i = n - 1; i >= 0; --i) {
		cur = min(cur, a[i]);
		if (cur == a[i]) {
			mark(i);
		}
	}

	ans += n;
	cout << ans << " ";

	while (q--) {
		int i;
		cin >> i, --i;

		values.update(i, n);

		if (suffix_min.count(i)) unmark(i);

		ans += marked_values.count(a[i], n - 1);
		ans -= marked_indices.count(i, n - 1);

		removed_values.add(a[i]);
		removed_indices.add(i);

		--ans;
		cout << ans << " ";
	}

	return 0;
}

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