QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#67191#5098. 第一代图灵机10circle0 1914ms54356kbC++145.5kb2022-12-10 10:31:052022-12-10 10:31:09

Judging History

This is the latest submission verdict.

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-12-10 10:31:09]
  • Judged
  • Verdict: 0
  • Time: 1914ms
  • Memory: 54356kb
  • [2022-12-10 10:31:05]
  • Submitted

answer

#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef vector<int> vint;

int read() {
	int a = 0, b = 0; char c = getchar();
	while (c < '0' || c > '9') b ^= (c == '-'), c = getchar();
	while (c >= '0' && c <= '9') a = a * 10 - 48 + c, c = getchar();
	return b ? -a : a;
}

const int N = 200005;

ll a[N], sa[N];
mt19937 rnd(20221210);
typedef unsigned int uint;
int c[N], n, m, q;

struct pir {
	int a, b;
};
struct node {
	int ls, rs, val, siz, sec;
	pir sq;
	uint pri;
};

const int NS = 1000005;
struct treap {
	node tr[NS];
	int cnt, rot;
	function <pir(pir, pir)> ud;
	void init(function <pir(pir, pir)> f, pir q) { cnt = rot = 0, ud = f; tr[0].sec = q.b, tr[0].val = q.a, tr[0].sq = q; }
	int nnode(int val, int sec) { return tr[++cnt] = node{0, 0, val, 1, sec, pir{val, sec}, uint(rnd())}, cnt; }
	
	void upd(int rt) {
		if (!rt) return;
		node &p = tr[rt];
		p.siz = tr[p.ls].siz + 1 + tr[p.rs].siz;
		p.sq = ud(ud(tr[p.ls].sq, pir{p.val, p.sec}), tr[p.rs].sq);
	}
	
	pir split(int rt, int k) { // v <= k and k < v
		if (!rt) return pir{0, 0};
		node &p = tr[rt];
		if (p.val <= k) {
			pir o = split(p.rs, k);
			p.rs = o.a, o.a = rt, upd(rt);
			return o;
		} else {
			pir o = split(p.ls, k);
			p.ls = o.b, o.b = rt, upd(rt);
			return o;
		}
	}
	
	int merge(int a, int b) {
		if (!a || !b) return a + b;
		node &pa = tr[a], &pb = tr[b];
		if (pa.pri < pb.pri) {
			pa.rs = merge(pa.rs, b);
			upd(a); return a;
		} else {
			pb.ls = merge(a, pb.ls);
			upd(b); return b;
		}
	}
	
	void ins(int vl, int se) {
		int id = nnode(vl, se);
		pir o = split(rot, vl);
		o.a = merge(o.a, id);
		rot = merge(o.a, o.b);
	}
	void era(int vl) {
		pir o = split(rot, vl - 1);
		pir p = split(o.b, vl);
		rot = merge(o.a, p.b);
	}
	pir leq(int k, int rt = -1) {
		if (rt == -1) rt = rot;
		node &p = tr[rt];
		if (!rt) return p.sq;
		if (p.val <= k) return ud(ud(tr[p.ls].sq, pir{p.val, p.sec}), leq(k, p.rs));
		else return leq(k, p.ls);
	}
	pir req(int k, int rt = -1) {
		if (rt == -1) rt = rot;
		node &p = tr[rt];
		if (!rt) return p.sq;
		if (p.val < k) return req(k, p.rs);
		else return ud(ud(pir{p.val, p.sec}, tr[p.rs].sq), req(k, p.ls));
	}
	
} T1, T2;
struct treap2 {
	struct node2 {
		int ls, rs, val, siz, sec;
		ll vl;
		uint pri;
	};
	node2 tr[NS];
	int cnt, rot;
	int nnode(int val, int sec) { return tr[++cnt] = node2{0, 0, val, 1, sec, sa[sec] - sa[val - 1], uint(rnd())}, cnt; }
	
	void upd(int rt) {
		if (!rt) return;
		node2 &p = tr[rt];
		p.siz = tr[p.ls].siz + 1 + tr[p.rs].siz;
		p.vl = max(tr[p.ls].vl, max(sa[p.sec] - sa[p.val - 1], tr[p.rs].vl));
	}
	
	pir split(int rt, int k) { // v <= k and k < v
		if (!rt) return pir{0, 0};
		node2 &p = tr[rt];
		if (p.val <= k) {
			pir o = split(p.rs, k);
			p.rs = o.a, o.a = rt, upd(rt);
			return o;
		} else {
			pir o = split(p.ls, k);
			p.ls = o.b, o.b = rt, upd(rt);
			return o;
		}
	}
	
	int merge(int a, int b) {
		if (!a || !b) return a + b;
		node2 &pa = tr[a], &pb = tr[b];
		if (pa.pri < pb.pri) {
			pa.rs = merge(pa.rs, b);
			upd(a); return a;
		} else {
			pb.ls = merge(a, pb.ls);
			upd(b); return b;
		}
	}
	
	void ins(int vl, int se) {
		if (vl > se || vl <= 0 || se > n) return;
		int id = nnode(vl, se);
		pir o = split(rot, vl);
		o.a = merge(o.a, id);
		rot = merge(o.a, o.b);
	}
	void era(int vl) {
		pir o = split(rot, vl - 1);
		pir p = split(o.b, vl);
		rot = merge(o.a, p.b);
	}
	ll qry(int l, int r, int rt = -1, int gl = 0, int gr = 0) {
		if (rt == -1) rt = rot;
		node2 &p = tr[rt];
		if (!rt) return -1;
		if (gl && gr) return p.vl;
		if (p.val < l) return qry(l, r, p.rs, gl, gr);
		if (r < p.sec) return qry(l, r, p.ls, gl, gr);
		return max(sa[p.sec] - sa[p.val - 1], max(qry(l, r, p.ls, gl, 1), qry(l, r, p.rs, 1, gr)));
	}
	
} T3;

set <int> s[N];


void ins(int l, int r) {
	pir A = T2.leq(r), B = T1.req(l);
	swap(A.a, A.b);
	if (l <= A.a || B.b <= r) return;
	T3.era(A.a + 1);
	T3.ins(A.a + 1, r - 1);
	T3.ins(l + 1, B.b - 1);
	T2.ins(r, l);
	T1.ins(l, r);
}


void era(int l, int r) {
	T1.era(l), T2.era(r);
	pir A = T2.leq(r), B = T1.req(l);
	swap(A.a, A.b);
	if (l <= A.a || B.b <= r) return;
	T3.era(A.a + 1);
	T3.era(l + 1);
	T3.ins(A.a + 1, B.b - 1);
}

const int INF = 0x3f3f3f3f;

int main() {
//	freopen("a.in", "r", stdin);
//	freopen("a.out", "w", stdout);
	n = read(), m = read(), q = read();
	for (int i = 1; i <= n; ++i) a[i] = read(), sa[i] = sa[i - 1] + a[i];
	for (int i = 1; i <= n; ++i) c[i] = read(), s[c[i]].insert(i);
	T1.init([&](pir a, pir b) { return a.b < b.b ? a : b; }, pir{INF, INF}); // T1 : key = l, qry : min(r)
	T2.init([&](pir a, pir b) { return a.b < b.b ? b : a; }, pir{0, 0}); // T2 : key = r, qry : max(l)
	
	for (int i = 1; i <= n; ++i) {
		auto p = s[c[i]].upper_bound(i);
		if (p != s[c[i]].end()) ins(i, *p);
	}
	
	while (q--) {
		int op = read(), l = read(), r = read();
		if (op == 1) {
			int xl = T2.leq(r).b, mr = T1.req(l).b; 
			ll ans = max(sa[r] - sa[max(l - 1, xl)], sa[min(r, mr - 1)] - sa[l - 1]);
			ans = max(ans, T3.qry(l, r));
			cout << ans << '\n';
		} else {
			auto p = s[c[l]].upper_bound(l);
			if (p != s[c[l]].end()) era(l, *p);
			--p;
			if (p != s[c[l]].begin()) --p, era(*p, l);
			s[c[l]].erase(l);
			c[l] = r;
			p = s[c[l]].upper_bound(l);
			if (p != s[c[l]].begin() && p != s[c[l]].end()) {
				auto q = prev(p);
				era(*q, *p);
				ins(*q, l);
			}
			if (p != s[c[l]].end()) ins(l, *p);
			s[c[l]].insert(l);
		}
	}
	
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 0
Wrong Answer

Test #1:

score: 0
Wrong Answer
time: 23ms
memory: 13592kb

input:

5000 200 5000
2315 3433 1793 4621 4627 4561 289 4399 3822 2392 392 4581 2643 2441 4572 4649 2981 3094 4206 2057 761 2516 2849 3509 3033 658 4965 3316 3269 4284 4961 753 1187 2515 1377 1725 4743 4761 3823 3464 4859 989 2401 953 875 1481 2181 103 2067 2625 3296 4721 61 3843 1607 997 4385 1284 4299 441...

output:

6280486
7891765
4381270
3987542
3987542
1734248
3808468
7891765
7891765
7891765
5085992
7891765
5085992
7891765
1906943
1622245
3307252
1622245
31218
3307252
7891765
5085992
7891765
39374
7128162
6280486
185878
7128162
7891765
4381270
7891765
6280486
7891765
7891765
7891765
7891765
7891765
6280486
7...

result:

wrong answer 1st lines differ - expected: '118571', found: '6280486'

Subtask #2:

score: 0
Wrong Answer

Test #3:

score: 0
Wrong Answer
time: 1914ms
memory: 54356kb

input:

200000 10 200000
55651 97298 108697 86619 60721 199951 10610 162267 154301 138848 39191 18605 101369 57073 34977 101576 71252 143401 89587 160521 166491 38442 150761 35579 25571 121311 38033 38483 144639 41401 179161 54872 157905 137601 46863 187656 171901 43715 41036 150741 69057 102031 130561 4772...

output:

25584637
23138807
17270530
25584637
25584637
25584637
25584637
25584637
17270530
25584637
10872821
16914433
25328564
25584637
25584637
25584637
24197042
12650016
25584637
25584637
25584637
23138807
22943037
24197042
25584637
23138807
25584637
23138807
25328564
17091076
13292109
25584637
25584637
253...

result:

wrong answer 1st lines differ - expected: '1232419', found: '25584637'

Subtask #3:

score: 0
Wrong Answer

Test #5:

score: 0
Wrong Answer
time: 1005ms
memory: 44332kb

input:

200000 20000 200000
30681 32496 35471 48191 159123 69792 120915 150673 187226 158493 36275 26856 107976 124777 145229 69745 183961 14497 144808 153612 185893 137681 66417 46802 19345 113322 168046 128149 191001 135433 13201 139214 59489 81178 42343 163158 110121 119201 97501 53079 158755 192241 1132...

output:

16521535703
15704925625
12131585782
14484458082
11818653229
14343040511
13140906601
19476720175
15704925625
15704925625
19571799
3300011783
16465238985
17847020825
12303206891
6851556676
14484458082
6973224107
18521397391
15779067227
15704925625
13517152700
16914741383
18843973383
18009237129
144844...

result:

wrong answer 1st lines differ - expected: '46702944', found: '16521535703'

Subtask #4:

score: 0
Skipped

Dependency #1:

0%

Subtask #5:

score: 0
Skipped

Dependency #4:

0%