Submission #591125

# Submission time Handle Problem Language Result Execution time Memory
591125 2022-07-06T21:50:53 Z GusterGoose27 The short shank; Redemption (BOI21_prison) C++11
70 / 100
2000 ms 62992 KB
//#pragma GCC optimize("Ofast")

#include <bits/stdc++.h>

using namespace std;

typedef long double ld;
typedef pair<ld, int> pdi;
typedef pair<int, int> pii;

const int MAXN = 2e6;
pdi dp[MAXN];
const int inf = 1e9;
int n, d, t;
int vals[MAXN];

class STree {
public:
	int n;
	pdi *mn;
	int *lz;
	int *lval;
	int *rval;
	STree() {}
	STree(int nn) {
		n = pow(2, ceil(log2(nn)));
		mn = new pdi[2*n];
		lz = new int[2*n];
		lval = new int[2*n];
		rval = new int[2*n];
		for (int i = 1; i < 2*n; i++) mn[i] = pdi(inf, 0);
		fill(lz, lz+2*n, 0);
		for (int i = n; i < 2*n; i++) {
			lval[i] = i-n;
			rval[i] = i-n+1;
		}
		for (int i = n-1; i > 0; i--) {
			lval[i] = lval[2*i];
			rval[i] = rval[2*i+1];
		}
	}
	void clean() {
		for (int i = 1; i < 2*n; i++) mn[i] = pdi(inf, 0);
		fill(lz, lz+2*n, 0);
	}
	void increment(int l, int r, int v, int cur = 1) {
		if (lval[cur] >= r || rval[cur] <= l) return;
		if (lval[cur] >= l && rval[cur] <= r) {
			lz[cur] += v;
			mn[cur].first += v;
			return;
		}
		increment(l, r, v, 2*cur);
		increment(l, r, v, 2*cur+1);
		mn[cur] = min(mn[2*cur], mn[2*cur+1]);
		mn[cur].first += lz[cur];
	}
	pdi mnval(int l, int r, int cur = 1, int laz = 0) {
		if (lval[cur] >= r || rval[cur] <= l) return pdi(inf, 0);
		if (lval[cur] >= l && rval[cur] <= r) return pdi(mn[cur].first+laz, mn[cur].second);
		laz += lz[cur];
		return min(mnval(l, r, 2*cur, laz), mnval(l, r, 2*cur+1, laz));
	}
	void update(int i, pdi v, int cur = 1, int laz = 0) {
		if (lval[cur] > i || rval[cur] <= i) return;
		if (cur >= n) {
			mn[cur] = pdi(v.first-laz, v.second);
			return;
		}
		laz += lz[cur];
		update(i, v, 2*cur, laz);
		update(i, v, 2*cur+1, laz);
		mn[cur] = min(mn[2*cur], mn[2*cur+1]);
		mn[cur].first += lz[cur];
	}
};

STree s;

const int iters = 25;
//const ld prec = 3e-2;

int get_int(int i) {
	if (vals[i] > t) return i;
	return i+(t-vals[i])+1;
}

bool make_iter(ld &mn, ld &mx, bool force = 0) {
	vector<int> uncolored;
	//STree s(n);
	ld cost = (mn+mx)/2;
	for (int i = n-1; i >= 0; i--) {
		if (i == n-1) dp[i] = pdi(0, 0);
		else {
			pdi mnval = s.mnval(i+1, n);
			mnval.first += cost;
			mnval.second++;
			dp[i] = mnval;
		}
		s.update(i, dp[i]);
		uncolored.push_back(i);
		int r = get_int(i);
		int pos = uncolored.size()-1;
		while (pos >= 0 && uncolored[pos] < r) pos--;
		pos++;
		int prev = n;
		int mult = uncolored.size()-pos;
		for (int i = pos; i < uncolored.size(); i++) {
			s.increment(uncolored[i], prev, mult);
			prev = uncolored[i];
			mult--;
		}
		int num = uncolored.size()-pos;
		for (int i = 0; i < num; i++) uncolored.pop_back();
	}
	pdi overall = s.mnval(0, n);
	if (overall.second == d || force) { // we are done
		cout << round(overall.first-cost*d) << "\n";
		return 1;
	}
	if (overall.second < d) mx = cost;
	else mn = cost;
	return 0;
}

int main() {
	ios_base::sync_with_stdio(false); cin.tie(NULL);
	cin >> n >> d >> t;
	for (int i = 0; i < n; i++) cin >> vals[i];
	ld mn = 0;
	ld mx = ((ld)n)/d+1;
	s = STree(n);
	for (int t = 0; t < iters; t++) {
	//while (mx-mn > prec) {
		bool fin = make_iter(mn, mx);
		if (fin) return 0;
		s.clean();
	}
	//assert(false);
	make_iter(mn, mx, 1);
}

Compilation message

prison.cpp: In function 'bool make_iter(ld&, ld&, bool)':
prison.cpp:108:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  108 |   for (int i = pos; i < uncolored.size(); i++) {
      |                     ~~^~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 6 ms 392 KB Output is correct
3 Correct 6 ms 340 KB Output is correct
4 Correct 7 ms 340 KB Output is correct
5 Correct 7 ms 392 KB Output is correct
6 Correct 2 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 6 ms 400 KB Output is correct
9 Correct 7 ms 340 KB Output is correct
10 Correct 6 ms 340 KB Output is correct
11 Correct 6 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Execution timed out 2102 ms 62992 KB Time limit exceeded
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 6 ms 392 KB Output is correct
3 Correct 6 ms 340 KB Output is correct
4 Correct 7 ms 340 KB Output is correct
5 Correct 7 ms 392 KB Output is correct
6 Correct 2 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 6 ms 400 KB Output is correct
9 Correct 7 ms 340 KB Output is correct
10 Correct 6 ms 340 KB Output is correct
11 Correct 6 ms 340 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 6 ms 384 KB Output is correct
14 Correct 6 ms 340 KB Output is correct
15 Correct 7 ms 340 KB Output is correct
16 Correct 7 ms 340 KB Output is correct
17 Correct 2 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 6 ms 340 KB Output is correct
20 Correct 8 ms 404 KB Output is correct
21 Correct 6 ms 396 KB Output is correct
22 Correct 6 ms 392 KB Output is correct
23 Correct 68 ms 820 KB Output is correct
24 Correct 71 ms 820 KB Output is correct
25 Correct 69 ms 724 KB Output is correct
26 Correct 72 ms 724 KB Output is correct
27 Correct 66 ms 828 KB Output is correct
28 Correct 69 ms 824 KB Output is correct
29 Correct 68 ms 820 KB Output is correct
30 Correct 59 ms 852 KB Output is correct
31 Correct 65 ms 852 KB Output is correct
32 Correct 60 ms 852 KB Output is correct
33 Correct 60 ms 832 KB Output is correct
34 Correct 11 ms 724 KB Output is correct
35 Correct 68 ms 852 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1874 ms 14272 KB Output is correct
3 Correct 1908 ms 14348 KB Output is correct
4 Correct 1812 ms 15040 KB Output is correct
5 Correct 1686 ms 14980 KB Output is correct
6 Correct 1678 ms 15008 KB Output is correct
7 Correct 1553 ms 14532 KB Output is correct
8 Correct 1525 ms 14724 KB Output is correct
9 Correct 1564 ms 15076 KB Output is correct
10 Correct 1723 ms 14336 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 6 ms 392 KB Output is correct
3 Correct 6 ms 340 KB Output is correct
4 Correct 7 ms 340 KB Output is correct
5 Correct 7 ms 392 KB Output is correct
6 Correct 2 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 6 ms 400 KB Output is correct
9 Correct 7 ms 340 KB Output is correct
10 Correct 6 ms 340 KB Output is correct
11 Correct 6 ms 340 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 6 ms 384 KB Output is correct
14 Correct 6 ms 340 KB Output is correct
15 Correct 7 ms 340 KB Output is correct
16 Correct 7 ms 340 KB Output is correct
17 Correct 2 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 6 ms 340 KB Output is correct
20 Correct 8 ms 404 KB Output is correct
21 Correct 6 ms 396 KB Output is correct
22 Correct 6 ms 392 KB Output is correct
23 Correct 68 ms 820 KB Output is correct
24 Correct 71 ms 820 KB Output is correct
25 Correct 69 ms 724 KB Output is correct
26 Correct 72 ms 724 KB Output is correct
27 Correct 66 ms 828 KB Output is correct
28 Correct 69 ms 824 KB Output is correct
29 Correct 68 ms 820 KB Output is correct
30 Correct 59 ms 852 KB Output is correct
31 Correct 65 ms 852 KB Output is correct
32 Correct 60 ms 852 KB Output is correct
33 Correct 60 ms 832 KB Output is correct
34 Correct 11 ms 724 KB Output is correct
35 Correct 68 ms 852 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 1874 ms 14272 KB Output is correct
38 Correct 1908 ms 14348 KB Output is correct
39 Correct 1812 ms 15040 KB Output is correct
40 Correct 1686 ms 14980 KB Output is correct
41 Correct 1678 ms 15008 KB Output is correct
42 Correct 1553 ms 14532 KB Output is correct
43 Correct 1525 ms 14724 KB Output is correct
44 Correct 1564 ms 15076 KB Output is correct
45 Correct 1723 ms 14336 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 8 ms 340 KB Output is correct
48 Correct 6 ms 340 KB Output is correct
49 Correct 7 ms 340 KB Output is correct
50 Correct 7 ms 340 KB Output is correct
51 Correct 2 ms 340 KB Output is correct
52 Correct 1 ms 340 KB Output is correct
53 Correct 7 ms 340 KB Output is correct
54 Correct 7 ms 340 KB Output is correct
55 Correct 6 ms 340 KB Output is correct
56 Correct 6 ms 400 KB Output is correct
57 Correct 68 ms 724 KB Output is correct
58 Correct 72 ms 824 KB Output is correct
59 Correct 67 ms 820 KB Output is correct
60 Correct 68 ms 724 KB Output is correct
61 Correct 67 ms 828 KB Output is correct
62 Correct 69 ms 724 KB Output is correct
63 Correct 68 ms 724 KB Output is correct
64 Correct 62 ms 852 KB Output is correct
65 Correct 59 ms 852 KB Output is correct
66 Correct 61 ms 852 KB Output is correct
67 Correct 60 ms 852 KB Output is correct
68 Correct 11 ms 848 KB Output is correct
69 Correct 66 ms 816 KB Output is correct
70 Correct 0 ms 212 KB Output is correct
71 Correct 1849 ms 14272 KB Output is correct
72 Correct 1915 ms 14280 KB Output is correct
73 Correct 1782 ms 14984 KB Output is correct
74 Correct 1711 ms 14980 KB Output is correct
75 Correct 1665 ms 14956 KB Output is correct
76 Correct 1548 ms 14504 KB Output is correct
77 Correct 1516 ms 15056 KB Output is correct
78 Correct 1554 ms 15220 KB Output is correct
79 Correct 1713 ms 14340 KB Output is correct
80 Correct 1943 ms 14276 KB Output is correct
81 Correct 1858 ms 15000 KB Output is correct
82 Correct 1879 ms 15012 KB Output is correct
83 Correct 1857 ms 14832 KB Output is correct
84 Correct 1842 ms 14548 KB Output is correct
85 Correct 1650 ms 15568 KB Output is correct
86 Correct 1638 ms 15052 KB Output is correct
87 Correct 1534 ms 15232 KB Output is correct
88 Correct 1481 ms 15660 KB Output is correct
89 Correct 1563 ms 15876 KB Output is correct
90 Correct 1640 ms 15252 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 6 ms 392 KB Output is correct
3 Correct 6 ms 340 KB Output is correct
4 Correct 7 ms 340 KB Output is correct
5 Correct 7 ms 392 KB Output is correct
6 Correct 2 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 6 ms 400 KB Output is correct
9 Correct 7 ms 340 KB Output is correct
10 Correct 6 ms 340 KB Output is correct
11 Correct 6 ms 340 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Execution timed out 2102 ms 62992 KB Time limit exceeded
14 Halted 0 ms 0 KB -