oj.uz

Submission #221461

# Submission time Handle Problem Language Result Execution time Memory
221461 2020-04-10T08:06:29 Z patrikpavic2 Constellation 3 (JOI20_constellation3) C++17
100 / 100
 1158 ms 126376 KB 
#include <cstdio>
#include <vector>
#include <map>
#include <stack>
#include <algorithm>

#define PB push_back
#define X first
#define Y second

using namespace std;

typedef pair < int, int > pii;
typedef vector < int > vi;
typedef long long ll;

const int N = 2e5 + 500;
const int LOG = 18;

map < int, ll > dp[N];
map < int, vi > sjec[N];

int n, m, kol[N];
int A[N], zvj[N], C[N];
int L[N], R[N], pos[N];
int rmq[N][LOG];
int par[N][2];
vector < pii > bitni;
vi T[N][2];
int Q_L[N][2], Q_R[N][2], cur = 0;
ll loga[N][2];

bool cmp(const pii &A,const pii &B){
	return A.Y - A.X < B.Y - B.X;
}

void dfs(int x,int fl){
	Q_L[x][fl] = cur++;
	for(int y : T[x][fl])
		dfs(y, fl);
	Q_R[x][fl] = cur;
}

void add(int x,int fl, ll y){
	for(x += 10; x < N ; x += x & -x)
		loga[x][fl] += y;
}

ll get(int x, int fl){
	ll ret = 0;
	for(x += 10; x ; x -= x & -x)
		ret += loga[x][fl];
	return ret;
}

inline int maax(int i,int j){
	if(A[i] > A[j]) 
		return i;
	return j;
}

inline int get_maax(int l,int r){
	return maax(rmq[l][kol[r - l + 1]], rmq[r - (1 << kol[r - l + 1]) + 1][kol[r - l + 1]]);
}

ll svi_C = 0;

ll f(int l,int r){
	if(r < l) return 0;
	if(dp[l][r] != 0) return dp[l][r] - 1;
	int mks = get_maax(l, r);
	ll ret = f(l, mks - 1) + f(mks + 1, r);
	for(int x : sjec[l][r])
		ret = max(ret, f(l,  pos[x] - 1) + f(pos[x] + 1, r) + C[x]);
	dp[l][r] = ret + 1;
	return ret;
}



int main(){
	scanf("%d", &n);
	vector < pii > saz;
	for(int i = 1;i <= n;i++){
		scanf("%d", A + i);
		rmq[i][0] = i;
	
	}
	scanf("%d", &m);
	for(int i = 1;i <= n;i++)
		saz.PB({A[i], i + m});
	for(int i = 0;i < m;i++){
		scanf("%d%d%d", pos + i, zvj + i, C + i); 
		saz.PB({zvj[i], i});
	}
	sort(saz.begin(), saz.end());
	for(int i = 0;i < n + m;i++){
		if(saz[i].Y < m)
			zvj[saz[i].Y] = i + 1;
		else
			A[saz[i].Y - m] = i + 1;
	}
	A[0] = n + m  + 1, A[n + 1] = n + m + 1;
	stack < int > s; s.push(0);
	for(int i = 1;i <= n;i++){
		for(;A[s.top()] < A[i];s.pop());
		par[i][0] = s.top(); s.push(i);
		if(par[i][0] < i - 1)
			bitni.PB({par[i][0] , i});
		T[par[i][0]][0].PB(i);
	}
	bitni.PB({0, n + 1});
	for(;!s.empty();s.pop());
	s.push(n + 1);
	for(int i = n;i >= 1;i--){
		for(;A[s.top()] < A[i];s.pop());
		par[i][1] = s.top(); s.push(i);
		if(par[i][1] > i + 1)
			bitni.PB({i , par[i][1]});
		T[par[i][1]][1].PB(i);
	}
	dfs(0, 0); cur = 0; dfs(n + 1, 1);
	for(int i = 1;i <= n + 2;i++){
		{for(;(1 << kol[i]) <= i;kol[i]++); kol[i]--;}
		rmq[i][0] = i;
	}
	for(int j = 1;j < LOG;j++){
		for(int i = 0;i <= n + 1;i++){
			rmq[i][j] = rmq[i][j - 1];
			if(i + (1 << (j - 1)) <= n + 1)
				rmq[i][j] = maax(rmq[i][j], rmq[i + (1 << (j - 1))][j - 1]);
		}
	}
	for(int i = 0;i < m;i++){
		L[i] = pos[i], R[i] = pos[i];
		for(int j = LOG - 1;j >= 0;j--){
			if(L[i] - (1 << j) >= 1 && A[get_maax(L[i] - (1 << j), pos[i])] < zvj[i]) 
				L[i] -= (1 << j);
			if(R[i] + (1 << j) <= n &&  A[get_maax(pos[i], R[i] + (1 << j))] < zvj[i])  
				R[i] += (1 << j);
		}
		L[i]--, R[i]++;
		sjec[L[i]][R[i]].PB(i); svi_C += C[i];
	}
	sort(bitni.begin(), bitni.end(), cmp);
	for(pii ja : bitni){
		int l = ja.X, r = ja.Y;
		int mks = get_maax(l + 1, r - 1);
		ll cur = dp[l][mks] + dp[mks][r];
		for(int x : sjec[l][r]){
			cur = max(cur, (ll)C[x] + get(Q_L[pos[x]][0], 0) + get(Q_L[pos[x]][1], 1) - get(Q_L[l][0], 0) - get(Q_L[r][1], 1));
		}
		dp[l][r] = cur;
		if(A[l] > A[r]){
			add(Q_L[r][0], 0, cur);
			add(Q_R[r][0], 0, -cur);
		}
		if(A[l] < A[r]){
			add(Q_L[l][1], 1, cur);
			add(Q_R[l][1], 1, -cur);
		}
	}	
	printf("%lld\n", svi_C - dp[0][n + 1]);
}

Compilation message

constellation3.cpp: In function 'int main()':
constellation3.cpp:82:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d", &n);
  ~~~~~^~~~~~~~~~
constellation3.cpp:85:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d", A + i);
   ~~~~~^~~~~~~~~~~~~
constellation3.cpp:89:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d", &m);
  ~~~~~^~~~~~~~~~
constellation3.cpp:93:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d%d%d", pos + i, zvj + i, C + i); 
   ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 28800 KB Output is correct
2 Correct 23 ms 28744 KB Output is correct
3 Correct 24 ms 28800 KB Output is correct
4 Correct 23 ms 28756 KB Output is correct
5 Correct 28 ms 28800 KB Output is correct
6 Correct 30 ms 28800 KB Output is correct
7 Correct 23 ms 28800 KB Output is correct
8 Correct 23 ms 28800 KB Output is correct
9 Correct 22 ms 28800 KB Output is correct
10 Correct 22 ms 28800 KB Output is correct
11 Correct 21 ms 28800 KB Output is correct
12 Correct 32 ms 28800 KB Output is correct
13 Correct 21 ms 28800 KB Output is correct
14 Correct 21 ms 28800 KB Output is correct
15 Correct 21 ms 28800 KB Output is correct
16 Correct 27 ms 28792 KB Output is correct
17 Correct 24 ms 28800 KB Output is correct
18 Correct 35 ms 28800 KB Output is correct
19 Correct 28 ms 28796 KB Output is correct
20 Correct 27 ms 28792 KB Output is correct
21 Correct 26 ms 28776 KB Output is correct
22 Correct 22 ms 28800 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 28800 KB Output is correct
2 Correct 23 ms 28744 KB Output is correct
3 Correct 24 ms 28800 KB Output is correct
4 Correct 23 ms 28756 KB Output is correct
5 Correct 28 ms 28800 KB Output is correct
6 Correct 30 ms 28800 KB Output is correct
7 Correct 23 ms 28800 KB Output is correct
8 Correct 23 ms 28800 KB Output is correct
9 Correct 22 ms 28800 KB Output is correct
10 Correct 22 ms 28800 KB Output is correct
11 Correct 21 ms 28800 KB Output is correct
12 Correct 32 ms 28800 KB Output is correct
13 Correct 21 ms 28800 KB Output is correct
14 Correct 21 ms 28800 KB Output is correct
15 Correct 21 ms 28800 KB Output is correct
16 Correct 27 ms 28792 KB Output is correct
17 Correct 24 ms 28800 KB Output is correct
18 Correct 35 ms 28800 KB Output is correct
19 Correct 28 ms 28796 KB Output is correct
20 Correct 27 ms 28792 KB Output is correct
21 Correct 26 ms 28776 KB Output is correct
22 Correct 22 ms 28800 KB Output is correct
23 Correct 28 ms 29568 KB Output is correct
24 Correct 28 ms 29440 KB Output is correct
25 Correct 32 ms 29568 KB Output is correct
26 Correct 30 ms 29560 KB Output is correct
27 Correct 26 ms 29568 KB Output is correct
28 Correct 30 ms 29440 KB Output is correct
29 Correct 25 ms 29568 KB Output is correct
30 Correct 33 ms 29596 KB Output is correct
31 Correct 32 ms 29536 KB Output is correct
32 Correct 29 ms 29568 KB Output is correct
33 Correct 32 ms 29560 KB Output is correct
34 Correct 27 ms 29440 KB Output is correct
35 Correct 24 ms 29568 KB Output is correct
36 Correct 26 ms 29568 KB Output is correct
37 Correct 29 ms 29568 KB Output is correct
38 Correct 27 ms 29668 KB Output is correct
39 Correct 29 ms 29544 KB Output is correct
40 Correct 42 ms 29560 KB Output is correct
41 Correct 28 ms 29440 KB Output is correct
42 Correct 32 ms 29568 KB Output is correct
43 Correct 34 ms 29564 KB Output is correct
44 Correct 31 ms 29568 KB Output is correct

Subtask #3
65.0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 28800 KB Output is correct
2 Correct 23 ms 28744 KB Output is correct
3 Correct 24 ms 28800 KB Output is correct
4 Correct 23 ms 28756 KB Output is correct
5 Correct 28 ms 28800 KB Output is correct
6 Correct 30 ms 28800 KB Output is correct
7 Correct 23 ms 28800 KB Output is correct
8 Correct 23 ms 28800 KB Output is correct
9 Correct 22 ms 28800 KB Output is correct
10 Correct 22 ms 28800 KB Output is correct
11 Correct 21 ms 28800 KB Output is correct
12 Correct 32 ms 28800 KB Output is correct
13 Correct 21 ms 28800 KB Output is correct
14 Correct 21 ms 28800 KB Output is correct
15 Correct 21 ms 28800 KB Output is correct
16 Correct 27 ms 28792 KB Output is correct
17 Correct 24 ms 28800 KB Output is correct
18 Correct 35 ms 28800 KB Output is correct
19 Correct 28 ms 28796 KB Output is correct
20 Correct 27 ms 28792 KB Output is correct
21 Correct 26 ms 28776 KB Output is correct
22 Correct 22 ms 28800 KB Output is correct
23 Correct 28 ms 29568 KB Output is correct
24 Correct 28 ms 29440 KB Output is correct
25 Correct 32 ms 29568 KB Output is correct
26 Correct 30 ms 29560 KB Output is correct
27 Correct 26 ms 29568 KB Output is correct
28 Correct 30 ms 29440 KB Output is correct
29 Correct 25 ms 29568 KB Output is correct
30 Correct 33 ms 29596 KB Output is correct
31 Correct 32 ms 29536 KB Output is correct
32 Correct 29 ms 29568 KB Output is correct
33 Correct 32 ms 29560 KB Output is correct
34 Correct 27 ms 29440 KB Output is correct
35 Correct 24 ms 29568 KB Output is correct
36 Correct 26 ms 29568 KB Output is correct
37 Correct 29 ms 29568 KB Output is correct
38 Correct 27 ms 29668 KB Output is correct
39 Correct 29 ms 29544 KB Output is correct
40 Correct 42 ms 29560 KB Output is correct
41 Correct 28 ms 29440 KB Output is correct
42 Correct 32 ms 29568 KB Output is correct
43 Correct 34 ms 29564 KB Output is correct
44 Correct 31 ms 29568 KB Output is correct
45 Correct 937 ms 115900 KB Output is correct
46 Correct 976 ms 114936 KB Output is correct
47 Correct 914 ms 114028 KB Output is correct
48 Correct 941 ms 115820 KB Output is correct
49 Correct 897 ms 113224 KB Output is correct
50 Correct 902 ms 113276 KB Output is correct
51 Correct 922 ms 113408 KB Output is correct
52 Correct 936 ms 115332 KB Output is correct
53 Correct 934 ms 115056 KB Output is correct
54 Correct 1039 ms 118724 KB Output is correct
55 Correct 1018 ms 115872 KB Output is correct
56 Correct 987 ms 114248 KB Output is correct
57 Correct 1042 ms 113316 KB Output is correct
58 Correct 1020 ms 116364 KB Output is correct
59 Correct 1090 ms 116100 KB Output is correct
60 Correct 539 ms 126376 KB Output is correct
61 Correct 909 ms 114652 KB Output is correct
62 Correct 1012 ms 116412 KB Output is correct
63 Correct 914 ms 113360 KB Output is correct
64 Correct 943 ms 111604 KB Output is correct
65 Correct 998 ms 117312 KB Output is correct
66 Correct 1158 ms 112484 KB Output is correct