oj.uz

답안 #1104627

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1104627 2024-10-24T07:46:03 Z pit4h 사탕 분배 (IOI21_candies) C++17
11 / 100
 5000 ms 414708 KB 
#include "candies.h"

#include<bits/stdc++.h>
using namespace std;
using ll=long long;
using pi=pair<int,int>;
using vi=vector<int>;
#define mp make_pair
#define eb emplace_back
#define x first
#define y second
#define sz(x)int((x).size())
#define all(x)(x).begin(),(x).end()
#define rep(i,a,b)for(int i=(a);i<(b);i++)
#define per(i,a,b)for(int i=(b)-1;i>=(a);i--)
bool ckmin(auto&a,auto b){return b<a?a=b,1:0;}
bool ckmax(auto&a,auto b){return b>a?a=b,1:0;}
#ifdef LOCAL
auto&operator<<(auto&o,pair<auto,auto>p){return o<<"("<<p.x<<", "<<p.y<<")";}
auto operator<<(auto&o,auto x)->decltype(x.end(),o){o<<"{";int i=0;for(auto&e:x)o<<","+!i++<<e;return o<<"}";}
#define debug(X...)cerr<<"["#X"]: ",[](auto...$){((cerr<<$<<"; "),...)<<endl;}(X);
#else
#define debug(...){}
#endif

const int MAXN = 2e5 + 5, MAXQ = 2e5 + 5, MAGIC = 500;

const int BUCKET_SIZE = 500, BUCKETS = MAXN / BUCKET_SIZE + 1;

const ll INF = 1e18;

vi c, cnt;

vi buckets[BUCKETS];
int bucket_ord[BUCKETS][BUCKET_SIZE];

int n, q;

void bucket_add(int v, int id) {
	debug("bucket_add", v, id);
	buckets[id].eb(v);
}

int bucket_start(int id) { return id * BUCKET_SIZE; }
int bucket_end(int id) { return (id + 1) * BUCKET_SIZE; }
int bucket_size(int id) { return bucket_end(id) - bucket_start(id); }
int get_idx(int id, int i) { return bucket_start(id) + i; }

int BOTTOM(int i) { return 2 * i; }
int UP(int i) { return 2 * i + 1; }
int GET_ID(int i) { return i / 2; }

int f[2 * MAXN], fsz[2 * MAXN], frep[2 * MAXN];
int find(int x) {
	if (f[x] != x) f[x] = find(f[x]);
	return f[x];
}
void unite(int x, int y) {
	x = find(x); y = find(y);
	if (x == y) return;
	if (fsz[x] < fsz[y]) swap(x, y);
	fsz[x] += fsz[y];
	f[y] = x;
	ckmax(frep[x], frep[y]);
}
void f_clr(int m) {
	rep(i,0,2*(m + 1)) {
		f[i] = i;
		fsz[i] = 1;
		frep[i] = i; 
	}
}

void bucket_eval(int id) {
	debug("eval", id, buckets[id]);
	if (buckets[id].empty()) return;
	int m = sz(buckets[id]);
	f_clr(m);

	pair<ll, int> min_suf = mp(INF, 2 * m), max_suf = mp(-INF, 2 * m);
	vector<ll> suf(m + 1);
	ll sum = 0;
	vector<pair<ll, pi>> edges;

	per(i,0,m) {
		ckmin(min_suf, mp(sum, i));
		ckmax(max_suf, mp(sum, i));
		sum += buckets[id][i]; 	
		suf[i] = sum;

		// sum - max_suf <= 0
		if (max_suf.x >= sum) {
			edges.eb(0LL, mp(BOTTOM(i), BOTTOM(max_suf.y + 1)));
		}
		// sum - min_suf >= c
		edges.eb(sum - min_suf.x, mp(BOTTOM(i), UP(min_suf.y + 1)));
		// sum - min_suf >= 0
		if (min_suf.x <= sum) {
			edges.eb(0LL, mp(UP(i), UP(min_suf.y + 1)));
		}
		// sum - max_suf <= -c
		edges.eb(max_suf.x - sum, mp(UP(i), BOTTOM(max_suf.y + 1)));
	}

	sort(all(edges));
	reverse(all(edges));

	debug(edges);

	vector<bool> del(2 * (m + 1));

	int j = 0;
	rep(i,0,bucket_size(id)) {
		int cur = bucket_ord[id][i];
		debug(i, cur);
		while (j < sz(edges) && edges[j].x >= c[cur]) {
			debug(edges[j].y);
			if (!del[edges[j].y.x]) {
				del[edges[j].y.x] = 1;
				unite(edges[j].y.x, edges[j].y.y);
			}
			j++;
		}

		// step 1. go until reaching 0 or c[idx]
		int x = 0, node = -1;
		if ((ll)cnt[cur] + (suf[0] - max_suf.x) <= 0LL) {
			x = max_suf.y + 1;
			node = BOTTOM(x);
		}
		else if ((ll)cnt[cur] + (suf[0] - min_suf.x) >= (ll)c[cur]) {
			x = min_suf.y + 1;
			node = UP(x);
		}

		debug(x, node);

		// step 2. jump to final point reaching 0 or c[idx]
		if (node == BOTTOM(x) || node == UP(x)) {
			node = frep[find(node)];
			x = GET_ID(node);
		}

		debug(x, node);
		
		// step 3. calculate final value knowing no overflow happens
		if (node == BOTTOM(x)) {
			cnt[cur] = suf[x];
		}
		else if (node == UP(x)) {
			cnt[cur] = c[cur] + suf[x];
		}
		else {
			cnt[cur] += suf[x];
		}
	}
	buckets[id].clear();
}

vector<int> distribute_candies(vector<int> _c, vector<int> l,
                               vector<int> r, vector<int> v) {
	c = _c;
    n = c.size(); q = sz(l);
    vector<int> s(n);
	cnt.resize(n); rep(i,0,n) cnt[i] = 0;

	vi tmp_cnt(n / BUCKET_SIZE + 1, 0);
	vector<pi> vec;
	rep(i,0,n) vec.eb(c[i], i);
	sort(all(vec));
	reverse(all(vec));
	for (auto [_, i]: vec) {
		bucket_ord[i / BUCKET_SIZE][tmp_cnt[i / BUCKET_SIZE]++] = i;
	}

	rep(i,0,q) {
		int left_bucket = l[i] / BUCKET_SIZE, right_bucket = r[i] / BUCKET_SIZE;
		rep(j,left_bucket+1,right_bucket) {
			bucket_add(v[i], j);
		}
		bucket_eval(left_bucket);
		debug("rep", l[i], min(r[i]+1,(left_bucket+1)*BUCKET_SIZE)); 
		rep(j,l[i],min(r[i] + 1, bucket_start(left_bucket+1))) {
			cnt[j] += v[i];
			cnt[j] = max(0, min(c[j], cnt[j]));
		}
		if (left_bucket != right_bucket) {
			bucket_eval(right_bucket);
			debug("rep", (right_bucket-1)*BUCKET_SIZE+1, r[i] + 1); 
			rep(j,bucket_start(right_bucket), r[i] + 1) {
				cnt[j] += v[i];
				cnt[j] = max(0, min(c[j], cnt[j]));
			}
		}
		debug(cnt);
	}

	rep(id,0,(n-1) / BUCKET_SIZE + 1) {
		bucket_eval(id);
	}

	s = cnt;
    return s;
}

Compilation message

candies.cpp:16:12: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
   16 | bool ckmin(auto&a,auto b){return b<a?a=b,1:0;}
      |            ^~~~
candies.cpp:16:19: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
   16 | bool ckmin(auto&a,auto b){return b<a?a=b,1:0;}
      |                   ^~~~
candies.cpp:17:12: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
   17 | bool ckmax(auto&a,auto b){return b>a?a=b,1:0;}
      |            ^~~~
candies.cpp:17:19: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
   17 | bool ckmax(auto&a,auto b){return b>a?a=b,1:0;}
      |                   ^~~~

Subtask #1
3.0 / 3.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 5 ms 4856 KB Output is correct

Subtask #2
8.0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4476 ms 17972 KB Output is correct
2 Correct 4819 ms 21556 KB Output is correct
3 Correct 4875 ms 21432 KB Output is correct

Subtask #3
0 / 27.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 234 ms 11000 KB Output is correct
3 Correct 103 ms 11828 KB Output is correct
4 Execution timed out 5054 ms 17544 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #4
0 / 29.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 384 ms 45840 KB Output is correct
4 Correct 226 ms 16060 KB Output is correct
5 Execution timed out 5099 ms 414708 KB Time limit exceeded
6 Halted 0 ms 0 KB -

Subtask #5
0 / 33.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 5 ms 4856 KB Output is correct
6 Correct 4476 ms 17972 KB Output is correct
7 Correct 4819 ms 21556 KB Output is correct
8 Correct 4875 ms 21432 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 234 ms 11000 KB Output is correct
11 Correct 103 ms 11828 KB Output is correct
12 Execution timed out 5054 ms 17544 KB Time limit exceeded
13 Halted 0 ms 0 KB -