oj.uz

Submission #236899

# Submission time Handle Problem Language Result Execution time Memory
236899 2020-06-03T17:43:03 Z rajarshi_basu Fire (JOI20_ho_t5) C++14
14 / 100
 1000 ms 52820 KB 
#include <stdio.h>     
#include <stdlib.h>    
#include <iostream>
#include <vector>
#include <algorithm>
#include <fstream>
#include <queue>
#include <deque>
#include <iomanip>
#include <cmath>
#include <set>
#include <stack>
#include <map>
#include <unordered_map>
 
#define FOR(i,n) for(int i=0;i<n;i++)
#define FORE(i,a,b) for(int i=a;i<=b;i++)
#define ll long long 
#define ld long double
#define int ll
//#define int short
#define vi vector<int>
#define pb push_back
#define ff first
#define ss second
#define ii pair<int,int>
#define iii pair<int,ii>
#define iiii pair<iii,int>
#define pll pair<ll,ll>
#define plll pair<ll,pll>
//#define mp make_pair
#define vv vector
#define endl '\n'
 
using namespace std;

const int MAXN = 200*1000 + 5;
const int MAXT = 263*1000;

struct SegmentTree{
	int st[2*MAXT];
	void update(int node,int ss,int se,int pos,int val){
		if(pos < ss or se < pos)return;
		if(ss == se){
			st[node] = val;
			return;
		}
		int mid = (ss+se)/2;
		update(node*2+1,ss,mid,pos,val);
		update(node*2+2,mid+1,se,pos,val);
		st[node] = st[node*2+1]+st[node*2+2];
	}
	int get(int node,int ss,int se,int l,int r){
		if(l > se or r < ss)return 0;
		if(l <= ss and se <= r)return st[node];
		int mid = (ss+se)/2;
		return get(node*2+1,ss,mid,l,r)+get(node*2+2,mid+1,se,l,r);
	}
};


/*
stage 1: still growing towards left. : sum of elements*time
stage 2(a): end growing and stabilise: sum of elementrange.
stage 2(b): grow and decay, hence no change: sum of element range 
stage 3: just decay: sum(elementrange) - sum(element size)*time
stage 4: dead. We dont really need to keep track of this.

// lets see how we can better the implementation. We have a period when there is a growth
and then we have a period where there is a decay. Stage 2(a/b) can be calculated in terms of those. 
stage 4 is bleh, just kick it out. 
growth_end(i) = time when growth stops. 
decay_start(i) = time when decay starts. 
dead(i) = when we dont need to consider it. 

for every viable i, ans is Arr[i]*(min(growth_end(i),t) - max(0,t-decay_start(i)))
=> Arr[i]*(min(growth_end(i),t)) - Arr[i]*(max(0,t-decay_start(i)));
*/
int D = 0;
int n;
struct Event{
	// =1 means growth_end(i) has been reached, and it wont grow anymore;
	// =2 means decay has been started.
	// type2 = ded.
	int type; 
	int time;
	int item;
	int data; // depends on the event.
	Event(int a,int b,int c,int d=0){
		type = a;
		time = b;
		item = c;
		data = d;
	} 
};	


int prev_greater[MAXN];
int next_greater[MAXN];
int arr[MAXN];

void generateGreaters(int n){
	stack<int> st1;
	stack<int> st2;
	FOR(i,n){
		while(!st1.empty() and arr[st1.top()] < arr[i])st1.pop();
		if(st1.empty())prev_greater[i] = -3*n;
		else prev_greater[i] = st1.top();
		st1.push(i);

		while(!st2.empty() and arr[st2.top()] <= arr[n-i-1])st2.pop();
		if(st2.empty())next_greater[n-i-1] = n;
		else next_greater[n-i-1] = st2.top();
		st2.push(n-i-1);
	}
}

vv<Event> eventlist;
void formEventList(int n){
	FOR(i,n){
		int delta1 = next_greater[i] - i;
		eventlist.pb(Event(1,delta1,i));

		int delta2 = i - prev_greater[i];
		delta2--;
		eventlist.pb(Event(2,delta2,i));

		eventlist.pb(Event(3,delta2+delta1,i));
	}
	sort(eventlist.begin(), eventlist.end(),[&](Event e1,Event e2){
		if(e1.time == e2.time)return e1.type < e2.type;
		return e1.time < e2.time;
	});
}

SegmentTree segtree_expansion;// for expansion
SegmentTree segtree_stable;// when no expansion
SegmentTree segtree_decay;// when there is decay
SegmentTree segtree_decay_helper;

bool growthState[MAXN];
bool stableState[MAXN];
bool decayState[MAXN];
bool deadState[MAXN];

ll getAnsForPrefix(int x,int t){
	ll cost = 0;
	int xcp = x;
	while(x >= 0 and xcp-prev_greater[x]<=t)x = prev_greater[x];
	if(D)cout << "PREFIX: " << xcp << " " << x << endl;
	cost += segtree_expansion.get(0,0,n,0,x)*(t+1);// the expansion
	if(D)cout << "cost1 : " << cost << endl;
	cost += segtree_stable.get(0,0,n,0,x);
	if(D)cout << "cost2 : " << cost << endl;
	cost -= segtree_decay.get(0,0,n,0,x)*(t) - segtree_decay_helper.get(0,0,n,0,x);
	if(D)cout << "cost3 : " << cost << endl;
	// now fix for the right most point;
	
	cost -= (arr[x])*(min(max(0LL,t-(xcp-x)),(next_greater[x]-xcp-1)));
	if(D)cout << "cost4 : " << cost << endl;
	if(D)cout << endl;
	return cost;
}


signed main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);

	int q;
	cin >> n >> q;
	FOR(i,n)cin >> arr[i];
	iiii queries[q];
	FOR(i,q){
		int a,b,c;
		cin >> a >> b >> c;
		b--;c--;
		queries[i] = {{a,{b,c}},i};
	}
	sort(queries,queries+q);

	generateGreaters(n);
	formEventList(n);
	reverse(eventlist.begin(), eventlist.end());
	//
	if(D)cout << "OUTPUT DATA : " << endl;
	FOR(i,n)if(D)cout << next_greater[i] << " ";if(D)cout << endl;
	FOR(i,n)if(D)cout << prev_greater[i] << " ";if(D)cout << endl;
	if(D)cout << "EVENTS:" << endl;
	for(auto e : eventlist){
		if(D)cout << e.type << " " << e.item << " " << e.time << endl;
	}

	if(D)cout << "ACTUAL OUTPUT " << endl;
	FOR(i,n)growthState[i] = 1;
	FOR(i,n)segtree_expansion.update(0,0,n,i,arr[i]);
	ll ans[q];
	for(auto f : queries){
		auto e = f.ff;
		int t = e.ff;
		int a = e.ss.ff;int b = e.ss.ss;
		if(D)cout << "QUERY: " << t << " " << a << " " << b << endl;
		// at time t, in range a to b;
		while(!eventlist.empty() and eventlist.back().time <= t){
			// we have got more events to process yay !!
			Event e = eventlist.back();eventlist.pop_back();
			int i = e.item;
			if(e.type == 1){
				segtree_expansion.update(0,0,n,i,0);
				segtree_stable.update(0,0,n,i,arr[i]*e.time);
				growthState[i] = 0;
				stableState[i] = 1;

			}else if(e.type == 2){
				segtree_decay.update(0,0,n,i,arr[i]);
				segtree_decay_helper.update(0,0,n,i,arr[i]*e.time);
				decayState[i] = 1;
			}else{
				// the first two are redundant
				//segtree_expansion.update(0,0,n,e.item,0);
				segtree_stable.update(0,0,n,i,0);
				segtree_decay_helper.update(0,0,n,i,0);
				segtree_decay.update(0,0,n,i,0);
				decayState[i] = 0;growthState[i] =0; growthState[i] = 0;
				deadState[i] = 1;
			}
		}

		ll cost = getAnsForPrefix(b,t);
		if(a != 0)cost -= getAnsForPrefix(a-1,t);
		ans[f.ss] = cost;
		//if(D)cout << cost << endl;
	}

	if(D)cout << endl;

	FOR(i,q){
		cout << ans[i] << endl;
	}

	return 0;
}

Compilation message

ho_t5.cpp: In function 'int main()':
ho_t5.cpp:16:18: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
 #define FOR(i,n) for(int i=0;i<n;i++)
                  ^
ho_t5.cpp:187:2: note: in expansion of macro 'FOR'
  FOR(i,n)if(D)cout << next_greater[i] << " ";if(D)cout << endl;
  ^~~
ho_t5.cpp:187:46: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
  FOR(i,n)if(D)cout << next_greater[i] << " ";if(D)cout << endl;
                                              ^~
ho_t5.cpp:16:18: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
 #define FOR(i,n) for(int i=0;i<n;i++)
                  ^
ho_t5.cpp:188:2: note: in expansion of macro 'FOR'
  FOR(i,n)if(D)cout << prev_greater[i] << " ";if(D)cout << endl;
  ^~~
ho_t5.cpp:188:46: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
  FOR(i,n)if(D)cout << prev_greater[i] << " ";if(D)cout << endl;
                                              ^~

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 512 KB Output is correct
3 Correct 5 ms 512 KB Output is correct
4 Correct 5 ms 512 KB Output is correct
5 Correct 5 ms 512 KB Output is correct
6 Correct 6 ms 512 KB Output is correct
7 Correct 5 ms 512 KB Output is correct
8 Correct 5 ms 512 KB Output is correct
9 Correct 5 ms 512 KB Output is correct
10 Correct 5 ms 512 KB Output is correct
11 Correct 5 ms 512 KB Output is correct
12 Correct 5 ms 512 KB Output is correct
13 Correct 5 ms 512 KB Output is correct
14 Correct 5 ms 512 KB Output is correct
15 Correct 5 ms 512 KB Output is correct
16 Correct 5 ms 512 KB Output is correct
17 Correct 5 ms 512 KB Output is correct
18 Correct 5 ms 512 KB Output is correct
19 Correct 5 ms 512 KB Output is correct
20 Correct 5 ms 512 KB Output is correct
21 Correct 5 ms 512 KB Output is correct
22 Correct 5 ms 512 KB Output is correct
23 Correct 5 ms 512 KB Output is correct
24 Correct 5 ms 512 KB Output is correct
25 Correct 5 ms 512 KB Output is correct
26 Correct 5 ms 512 KB Output is correct
27 Correct 5 ms 512 KB Output is correct
28 Correct 5 ms 512 KB Output is correct
29 Correct 5 ms 512 KB Output is correct
30 Correct 5 ms 512 KB Output is correct
31 Correct 5 ms 512 KB Output is correct
32 Correct 6 ms 512 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 676 ms 52124 KB Output is correct
3 Correct 679 ms 52124 KB Output is correct
4 Correct 677 ms 52380 KB Output is correct
5 Correct 679 ms 52508 KB Output is correct
6 Correct 677 ms 52252 KB Output is correct
7 Correct 691 ms 52628 KB Output is correct
8 Correct 696 ms 52820 KB Output is correct
9 Correct 695 ms 52508 KB Output is correct
10 Correct 665 ms 51740 KB Output is correct
11 Correct 689 ms 52600 KB Output is correct
12 Correct 645 ms 51652 KB Output is correct
13 Correct 681 ms 52428 KB Output is correct
14 Correct 680 ms 52504 KB Output is correct
15 Correct 690 ms 52380 KB Output is correct
16 Correct 689 ms 52380 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 687 ms 51392 KB Output is correct
3 Correct 678 ms 50844 KB Output is correct
4 Correct 679 ms 51996 KB Output is correct
5 Correct 684 ms 50948 KB Output is correct
6 Correct 669 ms 51356 KB Output is correct
7 Correct 681 ms 51480 KB Output is correct
8 Correct 688 ms 51276 KB Output is correct
9 Correct 682 ms 51108 KB Output is correct
10 Correct 669 ms 50520 KB Output is correct
11 Correct 710 ms 51868 KB Output is correct
12 Correct 700 ms 51356 KB Output is correct
13 Correct 698 ms 51596 KB Output is correct
14 Correct 680 ms 50848 KB Output is correct
15 Correct 685 ms 51612 KB Output is correct
16 Correct 671 ms 51064 KB Output is correct

Subtask #4
0 / 6.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1090 ms 49656 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 512 KB Output is correct
3 Correct 5 ms 512 KB Output is correct
4 Correct 5 ms 512 KB Output is correct
5 Correct 5 ms 512 KB Output is correct
6 Correct 6 ms 512 KB Output is correct
7 Correct 5 ms 512 KB Output is correct
8 Correct 5 ms 512 KB Output is correct
9 Correct 5 ms 512 KB Output is correct
10 Correct 5 ms 512 KB Output is correct
11 Correct 5 ms 512 KB Output is correct
12 Correct 5 ms 512 KB Output is correct
13 Correct 5 ms 512 KB Output is correct
14 Correct 5 ms 512 KB Output is correct
15 Correct 5 ms 512 KB Output is correct
16 Correct 5 ms 512 KB Output is correct
17 Correct 5 ms 512 KB Output is correct
18 Correct 5 ms 512 KB Output is correct
19 Correct 5 ms 512 KB Output is correct
20 Correct 5 ms 512 KB Output is correct
21 Correct 5 ms 512 KB Output is correct
22 Correct 5 ms 512 KB Output is correct
23 Correct 5 ms 512 KB Output is correct
24 Correct 5 ms 512 KB Output is correct
25 Correct 5 ms 512 KB Output is correct
26 Correct 5 ms 512 KB Output is correct
27 Correct 5 ms 512 KB Output is correct
28 Correct 5 ms 512 KB Output is correct
29 Correct 5 ms 512 KB Output is correct
30 Correct 5 ms 512 KB Output is correct
31 Correct 5 ms 512 KB Output is correct
32 Correct 6 ms 512 KB Output is correct
33 Correct 706 ms 51740 KB Output is correct
34 Correct 710 ms 52368 KB Output is correct
35 Correct 694 ms 52252 KB Output is correct
36 Correct 691 ms 51888 KB Output is correct
37 Correct 669 ms 51612 KB Output is correct
38 Correct 682 ms 51996 KB Output is correct
39 Correct 710 ms 51868 KB Output is correct
40 Correct 696 ms 51500 KB Output is correct
41 Correct 687 ms 52124 KB Output is correct
42 Correct 698 ms 51740 KB Output is correct
43 Correct 701 ms 52452 KB Output is correct
44 Correct 701 ms 52128 KB Output is correct
45 Correct 659 ms 51160 KB Output is correct
46 Correct 694 ms 52056 KB Output is correct
47 Correct 679 ms 51548 KB Output is correct
48 Correct 707 ms 51076 KB Output is correct
49 Correct 684 ms 51612 KB Output is correct
50 Correct 685 ms 52124 KB Output is correct
51 Correct 691 ms 52252 KB Output is correct
52 Correct 691 ms 51488 KB Output is correct
53 Correct 678 ms 51484 KB Output is correct
54 Correct 733 ms 50980 KB Output is correct
55 Correct 707 ms 51252 KB Output is correct
56 Correct 735 ms 51604 KB Output is correct
57 Correct 732 ms 51100 KB Output is correct
58 Correct 730 ms 52000 KB Output is correct
59 Correct 676 ms 52124 KB Output is correct
60 Correct 679 ms 52124 KB Output is correct
61 Correct 677 ms 52380 KB Output is correct
62 Correct 679 ms 52508 KB Output is correct
63 Correct 677 ms 52252 KB Output is correct
64 Correct 691 ms 52628 KB Output is correct
65 Correct 696 ms 52820 KB Output is correct
66 Correct 695 ms 52508 KB Output is correct
67 Correct 665 ms 51740 KB Output is correct
68 Correct 689 ms 52600 KB Output is correct
69 Correct 645 ms 51652 KB Output is correct
70 Correct 681 ms 52428 KB Output is correct
71 Correct 680 ms 52504 KB Output is correct
72 Correct 690 ms 52380 KB Output is correct
73 Correct 689 ms 52380 KB Output is correct
74 Correct 687 ms 51392 KB Output is correct
75 Correct 678 ms 50844 KB Output is correct
76 Correct 679 ms 51996 KB Output is correct
77 Correct 684 ms 50948 KB Output is correct
78 Correct 669 ms 51356 KB Output is correct
79 Correct 681 ms 51480 KB Output is correct
80 Correct 688 ms 51276 KB Output is correct
81 Correct 682 ms 51108 KB Output is correct
82 Correct 669 ms 50520 KB Output is correct
83 Correct 710 ms 51868 KB Output is correct
84 Correct 700 ms 51356 KB Output is correct
85 Correct 698 ms 51596 KB Output is correct
86 Correct 680 ms 50848 KB Output is correct
87 Correct 685 ms 51612 KB Output is correct
88 Correct 671 ms 51064 KB Output is correct
89 Execution timed out 1090 ms 49656 KB Time limit exceeded
90 Halted 0 ms 0 KB -