oj.uz

Submission #545062

# Submission time Handle Problem Language Result Execution time Memory
545062 2022-04-03T13:29:32 Z Asymmetry Fire (JOI20_ho_t5) C++17
100 / 100
 406 ms 47216 KB 
//Autor: Bartłomiej Czarkowski
#include <bits/stdc++.h>
using namespace std;
#ifdef DEBUG
template<class A,class B>auto&operator<<(ostream&o,pair<A,B>p){return o<<'('<<p.first<<", "<<p.second<<')';}
template<class T>auto operator<<(ostream&o,T x)->decltype(x.end(),o){o<<'{';int i=0;for(auto e:x)o<<(", ")+2*!i++<<e;return o<<'}';}
#define debug(x...) cerr<<"["#x"]: ",[](auto...$){((cerr<<$<<"; "),...);}(x),cerr<<'\n'
#else
#define debug(...) {}
#endif

struct pytanie {
	int l, r, id;
};

struct SegTree {
	struct node {
		long long A, B;
	};
	vector<node> st;
	int com;
	
	SegTree(int n) {
		com = 1;
		while (com < n) {
			com <<= 1;
		}
		st.resize(com << 1);
		--com;
	}
	
	void wstaw(int x, long long A, long long B) {
		x += com;
		st[x] = {A, B};
		x >>= 1;
		while (x) {
			st[x] = {st[x * 2].A + st[x * 2 + 1].A, st[x * 2].B + st[x * 2 + 1].B};
			x >>= 1;
		}
	}
	
	long long pytaj(int a, int b, int tm) {
		a += com;
		b += com + 1;
		long long ret = 0;
		while (a < b) {
			if (a & 1) {
				ret += st[a].A * tm + st[a].B;
				++a;
			}
			if (b & 1) {
				ret += st[b - 1].A * tm + st[b - 1].B;
			}
			a >>= 1;
			b >>= 1;
		}
		return ret;
	}
};

struct nod {
	int lf, rg;
};

//~ const int N = 100;
const int N = 201000;
int n, q, com;
int t[N];
int lf[N]; // następny na lewo większy
int rg[N]; // następny na prawo większy równy
int slp[N]; // aktualny slope
long long odp[N];
vector<pytanie> pyt[N]; // zapytania po czasie
vector<int> zgon[N]; // kto właśnie znika
vector<int> slope[N]; // komu maleje slope w tym momencie
vector<nod> ts;

int kiedy_zgon(int x) { // pierwszy moment nieistnienia x
	if (lf[x] == 0) {
		return 1e9;
	}
	return rg[x] - lf[x] - 1;
}

pair<int, int> aktualny(int x, int tm) { // aktualny przedział pożaru x w momencie tm
	int l = x;
	if (lf[x]) {
		l = max(l, lf[x] + tm + 1);
	}
	int r = min(rg[x] - 1, x + tm);
	return {l, r};
}

void update(int x) {
	int l = x << 1;
	int r = l ^ 1;
	ts[x] = {min(ts[l].lf, ts[r].lf), max(ts[l].rg, ts[r].rg)};
}

// pożar, który posiada w sobie p w momencie tm
int fin(int x, int l, int r, int tm, int p) {
	if (l == r) {
		return l;
	}
	if (ts[x * 2].lf > ts[x * 2].rg) {
		return fin(x * 2 + 1, (l + r) / 2 + 1, r, tm, p);
	}
	auto lf = aktualny(ts[x * 2].rg, tm);
	if (lf.second < p) {
		return fin(x * 2 + 1, (l + r) / 2 + 1, r, tm, p);
	}
	return fin(x * 2, l, (l + r) / 2, tm, p);
}

void zgas(int x) {
	x += com;
	ts[x] = {(int)1e9, (int)-1e9};
	x >>= 1;
	while (x) {
		update(x);
		x >>= 1;
	}
}

int main() {
	scanf("%d%d", &n, &q);
	com = 1;
	while (com < n) {
		com <<= 1;
	}
	ts.resize(com << 1);
	--com;
	SegTree st(n);
	for (int i = 1; i <= n; ++i) {
		scanf("%d", &t[i]);
		st.wstaw(i, t[i], t[i]);
		ts[i + com] = {i, i};
		slp[i] = 1;
	}
	for (int i = n + 1; i <= com + 1; ++i) {
		ts[i + com] = {(int)1e9, (int)-1e9};
	}
	
	for (int i = com; i; --i) {
		update(i);
	}
	
	t[0] = 1e9 + 7;
	t[n + 1] = 1e9 + 7;
	for (int i = 1; i <= n; ++i) {
		lf[i] = i - 1;
		while (t[i] >= t[lf[i]]) {
			lf[i] = lf[lf[i]];
		}
	}
	
	for (int i = n; i; --i) {
		rg[i] = i + 1;
		while (t[i] > t[rg[i]]) {
			rg[i] = rg[rg[i]];
		}
	}
	
	for (int i = 1; i <= n; ++i) {
		int x = kiedy_zgon(i);
		//~ debug(i, x);
		if (x <= n) {
			zgon[x].push_back(i);
		}
		
		if (lf[i]) {
			slope[i - lf[i] - 1].push_back(i);
		}
		
		slope[rg[i] - i - 1].push_back(i);
	}
	
	//~ for (int i = 0; i <= n; ++i) {
		//~ debug(i, slope[i]);
	//~ }
	
	//~ for (int i = 0; i <= n; ++i) {
		//~ for (int j = 1; j <= n; ++j) {
			//~ debug(i, j, aktualny(j, i));
		//~ }
	//~ }
	
	for (int i = 1; i <= q; ++i) {
		int a, b, c;
		scanf("%d%d%d", &c, &a, &b);
		pyt[c].push_back({a, b, i});
	}
	
	for (int tm = 0; tm <= n; ++tm) {
		//~ debug(tm);
		for (int i : zgon[tm]) {
			//~ debug("ZGON", i);
			zgas(i);
			st.wstaw(i, 0, 0);
		}
		
		for (int i : slope[tm]) {
			if (slp[i] == 1) { // zamiana na stały
				auto x = aktualny(i, tm);
				//~ debug(i, x);
				st.wstaw(i, 0, (long long)(x.second - x.first + 1) * t[i]);
			}
			else { // zamiana na malejący
				auto x = aktualny(i, tm);
				//~ debug(i, x);
				st.wstaw(i, -t[i], (long long)(tm + x.second - x.first + 1) * t[i]);
			}
			--slp[i];
			//~ debug(i, slp[i]);
		}
		
		//~ for (int i = 1; i <= n; ++i) {
			//~ printf("%lld ", st.pytaj(i, i, tm));
		//~ }
		//~ printf("\n");
		
		for (auto i : pyt[tm]) {
			int poc = fin(1, 1, com + 1, tm, i.l);
			int kon = fin(1, 1, com + 1, tm, i.r);
			auto p = aktualny(poc, tm);
			auto k = aktualny(kon, tm);
			//~ debug(i.l, i.r, i.id, poc, kon, p, k);
			odp[i.id] = st.pytaj(poc, kon, tm) - (long long)(i.l - p.first) * t[poc] - (long long)(k.second - i.r) * t[kon];
		}
	}
	
	for (int i = 1; i <= q; ++i) {
		printf("%lld\n", odp[i]);
	}
	return 0;
}

Compilation message

ho_t5.cpp: In function 'int main()':
ho_t5.cpp:126:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  126 |  scanf("%d%d", &n, &q);
      |  ~~~~~^~~~~~~~~~~~~~~~
ho_t5.cpp:135:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  135 |   scanf("%d", &t[i]);
      |   ~~~~~^~~~~~~~~~~~~
ho_t5.cpp:190:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  190 |   scanf("%d%d%d", &c, &a, &b);
      |   ~~~~~^~~~~~~~~~~~~~~~~~~~~~

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14420 KB Output is correct
2 Correct 7 ms 14420 KB Output is correct
3 Correct 9 ms 14444 KB Output is correct
4 Correct 7 ms 14420 KB Output is correct
5 Correct 7 ms 14420 KB Output is correct
6 Correct 8 ms 14420 KB Output is correct
7 Correct 8 ms 14420 KB Output is correct
8 Correct 8 ms 14420 KB Output is correct
9 Correct 11 ms 14420 KB Output is correct
10 Correct 8 ms 14420 KB Output is correct
11 Correct 8 ms 14420 KB Output is correct
12 Correct 9 ms 14388 KB Output is correct
13 Correct 8 ms 14420 KB Output is correct
14 Correct 8 ms 14400 KB Output is correct
15 Correct 8 ms 14388 KB Output is correct
16 Correct 8 ms 14420 KB Output is correct
17 Correct 9 ms 14444 KB Output is correct
18 Correct 8 ms 14440 KB Output is correct
19 Correct 9 ms 14512 KB Output is correct
20 Correct 8 ms 14432 KB Output is correct
21 Correct 9 ms 14548 KB Output is correct
22 Correct 8 ms 14420 KB Output is correct
23 Correct 9 ms 14420 KB Output is correct
24 Correct 8 ms 14420 KB Output is correct
25 Correct 8 ms 14420 KB Output is correct
26 Correct 10 ms 14496 KB Output is correct
27 Correct 8 ms 14428 KB Output is correct
28 Correct 8 ms 14420 KB Output is correct
29 Correct 8 ms 14420 KB Output is correct
30 Correct 8 ms 14420 KB Output is correct
31 Correct 8 ms 14420 KB Output is correct
32 Correct 9 ms 14484 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14420 KB Output is correct
2 Correct 217 ms 39840 KB Output is correct
3 Correct 206 ms 45496 KB Output is correct
4 Correct 224 ms 45612 KB Output is correct
5 Correct 214 ms 46008 KB Output is correct
6 Correct 223 ms 45312 KB Output is correct
7 Correct 240 ms 45768 KB Output is correct
8 Correct 222 ms 46088 KB Output is correct
9 Correct 219 ms 45960 KB Output is correct
10 Correct 210 ms 45544 KB Output is correct
11 Correct 241 ms 45940 KB Output is correct
12 Correct 248 ms 45396 KB Output is correct
13 Correct 236 ms 45832 KB Output is correct
14 Correct 266 ms 45800 KB Output is correct
15 Correct 232 ms 45804 KB Output is correct
16 Correct 275 ms 45348 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14420 KB Output is correct
2 Correct 245 ms 40440 KB Output is correct
3 Correct 276 ms 45676 KB Output is correct
4 Correct 280 ms 46372 KB Output is correct
5 Correct 248 ms 45680 KB Output is correct
6 Correct 288 ms 45784 KB Output is correct
7 Correct 251 ms 45892 KB Output is correct
8 Correct 280 ms 46024 KB Output is correct
9 Correct 251 ms 45804 KB Output is correct
10 Correct 273 ms 45432 KB Output is correct
11 Correct 256 ms 46384 KB Output is correct
12 Correct 283 ms 45988 KB Output is correct
13 Correct 282 ms 46164 KB Output is correct
14 Correct 298 ms 45936 KB Output is correct
15 Correct 278 ms 46304 KB Output is correct
16 Correct 238 ms 46008 KB Output is correct

Subtask #4
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 349 ms 38404 KB Output is correct
2 Correct 356 ms 38388 KB Output is correct
3 Correct 334 ms 38592 KB Output is correct
4 Correct 336 ms 38640 KB Output is correct
5 Correct 366 ms 38592 KB Output is correct
6 Correct 406 ms 38384 KB Output is correct
7 Correct 328 ms 38616 KB Output is correct
8 Correct 324 ms 38540 KB Output is correct
9 Correct 326 ms 38520 KB Output is correct
10 Correct 324 ms 38720 KB Output is correct
11 Correct 353 ms 38848 KB Output is correct
12 Correct 323 ms 38688 KB Output is correct
13 Correct 340 ms 38640 KB Output is correct
14 Correct 376 ms 38572 KB Output is correct

Subtask #5
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14420 KB Output is correct
2 Correct 7 ms 14420 KB Output is correct
3 Correct 9 ms 14444 KB Output is correct
4 Correct 7 ms 14420 KB Output is correct
5 Correct 7 ms 14420 KB Output is correct
6 Correct 8 ms 14420 KB Output is correct
7 Correct 8 ms 14420 KB Output is correct
8 Correct 8 ms 14420 KB Output is correct
9 Correct 11 ms 14420 KB Output is correct
10 Correct 8 ms 14420 KB Output is correct
11 Correct 8 ms 14420 KB Output is correct
12 Correct 9 ms 14388 KB Output is correct
13 Correct 8 ms 14420 KB Output is correct
14 Correct 8 ms 14400 KB Output is correct
15 Correct 8 ms 14388 KB Output is correct
16 Correct 8 ms 14420 KB Output is correct
17 Correct 9 ms 14444 KB Output is correct
18 Correct 8 ms 14440 KB Output is correct
19 Correct 9 ms 14512 KB Output is correct
20 Correct 8 ms 14432 KB Output is correct
21 Correct 9 ms 14548 KB Output is correct
22 Correct 8 ms 14420 KB Output is correct
23 Correct 9 ms 14420 KB Output is correct
24 Correct 8 ms 14420 KB Output is correct
25 Correct 8 ms 14420 KB Output is correct
26 Correct 10 ms 14496 KB Output is correct
27 Correct 8 ms 14428 KB Output is correct
28 Correct 8 ms 14420 KB Output is correct
29 Correct 8 ms 14420 KB Output is correct
30 Correct 8 ms 14420 KB Output is correct
31 Correct 8 ms 14420 KB Output is correct
32 Correct 9 ms 14484 KB Output is correct
33 Correct 217 ms 39840 KB Output is correct
34 Correct 206 ms 45496 KB Output is correct
35 Correct 224 ms 45612 KB Output is correct
36 Correct 214 ms 46008 KB Output is correct
37 Correct 223 ms 45312 KB Output is correct
38 Correct 240 ms 45768 KB Output is correct
39 Correct 222 ms 46088 KB Output is correct
40 Correct 219 ms 45960 KB Output is correct
41 Correct 210 ms 45544 KB Output is correct
42 Correct 241 ms 45940 KB Output is correct
43 Correct 248 ms 45396 KB Output is correct
44 Correct 236 ms 45832 KB Output is correct
45 Correct 266 ms 45800 KB Output is correct
46 Correct 232 ms 45804 KB Output is correct
47 Correct 275 ms 45348 KB Output is correct
48 Correct 245 ms 40440 KB Output is correct
49 Correct 276 ms 45676 KB Output is correct
50 Correct 280 ms 46372 KB Output is correct
51 Correct 248 ms 45680 KB Output is correct
52 Correct 288 ms 45784 KB Output is correct
53 Correct 251 ms 45892 KB Output is correct
54 Correct 280 ms 46024 KB Output is correct
55 Correct 251 ms 45804 KB Output is correct
56 Correct 273 ms 45432 KB Output is correct
57 Correct 256 ms 46384 KB Output is correct
58 Correct 283 ms 45988 KB Output is correct
59 Correct 282 ms 46164 KB Output is correct
60 Correct 298 ms 45936 KB Output is correct
61 Correct 278 ms 46304 KB Output is correct
62 Correct 238 ms 46008 KB Output is correct
63 Correct 349 ms 38404 KB Output is correct
64 Correct 356 ms 38388 KB Output is correct
65 Correct 334 ms 38592 KB Output is correct
66 Correct 336 ms 38640 KB Output is correct
67 Correct 366 ms 38592 KB Output is correct
68 Correct 406 ms 38384 KB Output is correct
69 Correct 328 ms 38616 KB Output is correct
70 Correct 324 ms 38540 KB Output is correct
71 Correct 326 ms 38520 KB Output is correct
72 Correct 324 ms 38720 KB Output is correct
73 Correct 353 ms 38848 KB Output is correct
74 Correct 323 ms 38688 KB Output is correct
75 Correct 340 ms 38640 KB Output is correct
76 Correct 376 ms 38572 KB Output is correct
77 Correct 272 ms 46868 KB Output is correct
78 Correct 262 ms 47204 KB Output is correct
79 Correct 258 ms 46892 KB Output is correct
80 Correct 253 ms 46968 KB Output is correct
81 Correct 260 ms 46868 KB Output is correct
82 Correct 246 ms 46952 KB Output is correct
83 Correct 269 ms 46748 KB Output is correct
84 Correct 253 ms 46880 KB Output is correct
85 Correct 245 ms 47060 KB Output is correct
86 Correct 248 ms 46940 KB Output is correct
87 Correct 247 ms 46880 KB Output is correct
88 Correct 230 ms 46784 KB Output is correct
89 Correct 229 ms 46436 KB Output is correct
90 Correct 229 ms 46756 KB Output is correct
91 Correct 210 ms 46192 KB Output is correct
92 Correct 223 ms 46224 KB Output is correct
93 Correct 226 ms 46400 KB Output is correct
94 Correct 224 ms 47016 KB Output is correct
95 Correct 229 ms 47216 KB Output is correct
96 Correct 224 ms 46496 KB Output is correct
97 Correct 244 ms 46632 KB Output is correct
98 Correct 253 ms 45992 KB Output is correct
99 Correct 256 ms 46008 KB Output is correct
100 Correct 260 ms 46256 KB Output is correct
101 Correct 257 ms 46052 KB Output is correct
102 Correct 258 ms 46656 KB Output is correct