oj.uz

Submission #158542

# Submission time Handle Problem Language Result Execution time Memory
158542 2019-10-17T16:49:07 Z gs14004 Construction of Highway (JOI18_construction) C++17
100 / 100
 1146 ms 46504 KB 
#include <bits/stdc++.h>
using namespace std;
const int MAXN = 100005;
typedef long long lint;
typedef pair<int, int> pi;

vector<int> gph[MAXN];
int n, s[MAXN], e[MAXN], a[MAXN];
int dep[MAXN], din[MAXN], dout[MAXN], piv;
int ddin[MAXN], ddout[MAXN], pivv;
pi spt[18][2 * MAXN];
int lg[2 * MAXN];

int lca(int s, int e){
	if(ddin[s] > ddin[e]) swap(s, e);
	if(ddout[e] <= ddout[s]) return s;
	int st = ddout[s], ed = ddin[e];
	int l = lg[ed - st + 1];
	return min(spt[l][st], spt[l][ed - (1<<l) + 1]).second;
}

void dfs(int x, int p){
	din[x] = ++piv;
	ddin[x] = ++pivv;
	spt[0][pivv] = pi(dep[x] - 1, p);
	for(auto &i : gph[x]){
		if(i != p){
			dep[i] = dep[x] + 1;
			dfs(i, x);
		}
	}
	dout[x] = piv;
	ddout[x] = ++pivv;
	spt[0][pivv] = pi(dep[x] - 1, p);
}

struct segtree{
	int tree[270000], lim;
	void init(){
		memset(tree, 0, sizeof(tree));
		for(lim = 1; lim <= n; lim <<= 1);
	}
	void upd(int x, int v){
		x += lim;
		tree[x] = v;
		while(x > 1){
			x >>= 1;
			tree[x] = max(tree[2*x], tree[2*x+1]);
		}
	}
	int query(int s, int e){
		s += lim;
		e += lim;
		int ret = 0;
		while(s < e){
			if(s%2 == 1) ret = max(ret, tree[s++]);
			if(e%2 == 0) ret = max(ret, tree[e--]);
			s >>= 1;
			e >>= 1;
		}
		if(s == e) ret = max(ret, tree[s]);
		return ret;
	}
	int left_max(int s, int e, int thres){
		s += lim;
		e += lim;
		while(s < e){
			if(s % 2 == 1) s++;
			if(e % 2 == 0){
				if(tree[e] > thres){
					while(e < lim){
						if(tree[2*e+1] > thres) e = 2 * e + 1;
						else e = 2 * e;
					}
					return tree[e];
				}
				e--;
			}
			s >>= 1;
			e >>= 1;
		}
		if(s == e && tree[e] > thres){
			while(e < lim){
				if(tree[2*e+1] > thres) e = 2 * e + 1;
				else e = 2 * e;
			}
			return tree[e];
		}
		return 0;
	}
	int right_max(int s, int e, int thres){
		s += lim;
		e += lim;
		while(s < e){
			if(s % 2 == 1){
				if(tree[s] > thres){
					while(s < lim){
						if(tree[2*s] > thres) s = 2 * s;
						else s = 2 * s + 1;
					}
					return tree[s];
				}
				s++;
			}
			if(e % 2 == 0) e--;
			s >>= 1;
			e >>= 1;
		}
		if(s == e && tree[s] > thres){
			while(s < lim){
				if(tree[2*s] > thres) s = 2 * s;
				else s = 2 * s + 1;
			}
			return tree[s];
		}
		return 0;
	}
};

struct bit{
	int tree[MAXN];
	void add(int x, int v){
		while(x <= n){
			tree[x] += v;
			x += x & -x;
		}
	}
	int query(int x){
		int ret = 0;
		while(x){
			ret += tree[x];
			x -= x & -x;
		}
		return ret;
	}
}bit;

int main(){
	for(int i=1; i<2*MAXN; i++){
		lg[i] = lg[i-1];
		while((2 << lg[i]) <= i) lg[i]++;
	}
	vector<int> v;
	scanf("%d",&n);
	for(int i=1; i<=n; i++){
		scanf("%d",&a[i]);
		v.push_back(a[i]);
	}
	sort(v.begin(), v.end());
	v.resize(unique(v.begin(), v.end()) - v.begin());
	for(int i=1; i<=n; i++) a[i] = lower_bound(v.begin(), v.end(), a[i]) - v.begin() + 1;
	for(int i=2; i<=n; i++){
		scanf("%d %d",&s[i],&e[i]);
		gph[s[i]].push_back(e[i]);
		gph[e[i]].push_back(s[i]);
	}
	segtree seg;
	seg.init();
	dfs(1, -1);
	for(int i=1; i<18; i++){
		for(int j=1; j<=2*n; j++){
			spt[i][j] = spt[i-1][j];
			if(j + (1<<(i-1)) <= 2 * n){
				spt[i][j] = min(spt[i][j], spt[i-1][j + (1<<(i-1))]);
			}
		}
	}
	e[1] = 1;
	seg.upd(din[1], 1);
	for(int i=2; i<=n; i++){
		int pos = s[i];
		vector<pi> mem;
		int x;
		while((x = seg.query(din[pos], dout[pos])) != seg.tree[1]){
			int pl = seg.left_max(0, din[pos] - 1, x);
			int pr = seg.right_max(dout[pos] + 1, seg.lim-1, x);
			int nxtpos = 1;
			if(pl > x){
				int aux = lca(pos, e[pl]);
				if(dep[aux] > dep[nxtpos]) nxtpos = aux;
			}
			if(pr > x){
				int aux = lca(pos, e[pr]);
				if(dep[aux] > dep[nxtpos]) nxtpos = aux;
			}
			mem.push_back(pi(dep[pos] - dep[nxtpos], a[e[x]]));
			pos = nxtpos;
		}
		lint ans = 0;
		for(auto &i : mem){
			ans += 1ll * bit.query(i.second - 1) * i.first;
			bit.add(i.second, i.first);
		}
		ans += 1ll * bit.query(a[e[seg.tree[1]]] - 1) * (dep[pos] + 1);
		printf("%lld\n", ans);
		for(auto &i : mem) bit.add(i.second, -i.first);
		seg.upd(din[e[i]], i);
	}
}

Compilation message

construction.cpp: In function 'int main()':
construction.cpp:144:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d",&n);
  ~~~~~^~~~~~~~~
construction.cpp:146:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d",&a[i]);
   ~~~~~^~~~~~~~~~~~
construction.cpp:153:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d %d",&s[i],&e[i]);
   ~~~~~^~~~~~~~~~~~~~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 4600 KB Output is correct
2 Correct 6 ms 4728 KB Output is correct
3 Correct 6 ms 4728 KB Output is correct
4 Correct 7 ms 4728 KB Output is correct
5 Correct 7 ms 4856 KB Output is correct
6 Correct 7 ms 4856 KB Output is correct
7 Correct 7 ms 4856 KB Output is correct
8 Correct 6 ms 4856 KB Output is correct
9 Correct 6 ms 4856 KB Output is correct
10 Correct 6 ms 4856 KB Output is correct
11 Correct 7 ms 4856 KB Output is correct
12 Correct 7 ms 4856 KB Output is correct
13 Correct 6 ms 4856 KB Output is correct
14 Correct 7 ms 4856 KB Output is correct
15 Correct 7 ms 4856 KB Output is correct
16 Correct 7 ms 4856 KB Output is correct
17 Correct 7 ms 4856 KB Output is correct
18 Correct 7 ms 4856 KB Output is correct
19 Correct 6 ms 4856 KB Output is correct
20 Correct 7 ms 4828 KB Output is correct
21 Correct 7 ms 4856 KB Output is correct
22 Correct 7 ms 4856 KB Output is correct
23 Correct 7 ms 4856 KB Output is correct
24 Correct 7 ms 4856 KB Output is correct
25 Correct 7 ms 4856 KB Output is correct
26 Correct 6 ms 4856 KB Output is correct
27 Correct 6 ms 4828 KB Output is correct
28 Correct 6 ms 4832 KB Output is correct
29 Correct 6 ms 4856 KB Output is correct
30 Correct 7 ms 4856 KB Output is correct
31 Correct 7 ms 4856 KB Output is correct
32 Correct 7 ms 4856 KB Output is correct
33 Correct 7 ms 4856 KB Output is correct
34 Correct 7 ms 4856 KB Output is correct
35 Correct 6 ms 4856 KB Output is correct
36 Correct 7 ms 4856 KB Output is correct
37 Correct 7 ms 4856 KB Output is correct
38 Correct 7 ms 4856 KB Output is correct
39 Correct 7 ms 4856 KB Output is correct
40 Correct 7 ms 4856 KB Output is correct
41 Correct 7 ms 4856 KB Output is correct
42 Correct 7 ms 4856 KB Output is correct
43 Correct 6 ms 4860 KB Output is correct
44 Correct 7 ms 4856 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 4600 KB Output is correct
2 Correct 6 ms 4728 KB Output is correct
3 Correct 6 ms 4728 KB Output is correct
4 Correct 7 ms 4728 KB Output is correct
5 Correct 7 ms 4856 KB Output is correct
6 Correct 7 ms 4856 KB Output is correct
7 Correct 7 ms 4856 KB Output is correct
8 Correct 6 ms 4856 KB Output is correct
9 Correct 6 ms 4856 KB Output is correct
10 Correct 6 ms 4856 KB Output is correct
11 Correct 7 ms 4856 KB Output is correct
12 Correct 7 ms 4856 KB Output is correct
13 Correct 6 ms 4856 KB Output is correct
14 Correct 7 ms 4856 KB Output is correct
15 Correct 7 ms 4856 KB Output is correct
16 Correct 7 ms 4856 KB Output is correct
17 Correct 7 ms 4856 KB Output is correct
18 Correct 7 ms 4856 KB Output is correct
19 Correct 6 ms 4856 KB Output is correct
20 Correct 7 ms 4828 KB Output is correct
21 Correct 7 ms 4856 KB Output is correct
22 Correct 7 ms 4856 KB Output is correct
23 Correct 7 ms 4856 KB Output is correct
24 Correct 7 ms 4856 KB Output is correct
25 Correct 7 ms 4856 KB Output is correct
26 Correct 6 ms 4856 KB Output is correct
27 Correct 6 ms 4828 KB Output is correct
28 Correct 6 ms 4832 KB Output is correct
29 Correct 6 ms 4856 KB Output is correct
30 Correct 7 ms 4856 KB Output is correct
31 Correct 7 ms 4856 KB Output is correct
32 Correct 7 ms 4856 KB Output is correct
33 Correct 7 ms 4856 KB Output is correct
34 Correct 7 ms 4856 KB Output is correct
35 Correct 6 ms 4856 KB Output is correct
36 Correct 7 ms 4856 KB Output is correct
37 Correct 7 ms 4856 KB Output is correct
38 Correct 7 ms 4856 KB Output is correct
39 Correct 7 ms 4856 KB Output is correct
40 Correct 7 ms 4856 KB Output is correct
41 Correct 7 ms 4856 KB Output is correct
42 Correct 7 ms 4856 KB Output is correct
43 Correct 6 ms 4860 KB Output is correct
44 Correct 7 ms 4856 KB Output is correct
45 Correct 8 ms 4988 KB Output is correct
46 Correct 16 ms 6136 KB Output is correct
47 Correct 16 ms 6136 KB Output is correct
48 Correct 16 ms 6136 KB Output is correct
49 Correct 11 ms 6264 KB Output is correct
50 Correct 11 ms 6264 KB Output is correct
51 Correct 11 ms 6392 KB Output is correct
52 Correct 11 ms 6264 KB Output is correct
53 Correct 11 ms 6268 KB Output is correct
54 Correct 12 ms 6264 KB Output is correct
55 Correct 12 ms 6308 KB Output is correct
56 Correct 12 ms 6264 KB Output is correct
57 Correct 22 ms 6136 KB Output is correct
58 Correct 23 ms 6136 KB Output is correct
59 Correct 22 ms 6136 KB Output is correct
60 Correct 23 ms 6136 KB Output is correct
61 Correct 12 ms 6264 KB Output is correct
62 Correct 12 ms 6308 KB Output is correct
63 Correct 12 ms 6264 KB Output is correct
64 Correct 15 ms 6136 KB Output is correct
65 Correct 16 ms 6152 KB Output is correct
66 Correct 16 ms 6136 KB Output is correct
67 Correct 16 ms 6200 KB Output is correct
68 Correct 10 ms 6264 KB Output is correct
69 Correct 11 ms 6264 KB Output is correct
70 Correct 11 ms 6236 KB Output is correct
71 Correct 11 ms 6264 KB Output is correct
72 Correct 22 ms 6136 KB Output is correct
73 Correct 22 ms 6136 KB Output is correct
74 Correct 11 ms 6140 KB Output is correct
75 Correct 12 ms 6140 KB Output is correct
76 Correct 12 ms 6136 KB Output is correct
77 Correct 12 ms 6136 KB Output is correct
78 Correct 11 ms 6136 KB Output is correct
79 Correct 11 ms 6136 KB Output is correct
80 Correct 11 ms 6136 KB Output is correct
81 Correct 13 ms 6264 KB Output is correct
82 Correct 15 ms 6140 KB Output is correct
83 Correct 15 ms 6136 KB Output is correct
84 Correct 12 ms 6108 KB Output is correct
85 Correct 12 ms 6180 KB Output is correct
86 Correct 12 ms 6136 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 4600 KB Output is correct
2 Correct 6 ms 4728 KB Output is correct
3 Correct 6 ms 4728 KB Output is correct
4 Correct 7 ms 4728 KB Output is correct
5 Correct 7 ms 4856 KB Output is correct
6 Correct 7 ms 4856 KB Output is correct
7 Correct 7 ms 4856 KB Output is correct
8 Correct 6 ms 4856 KB Output is correct
9 Correct 6 ms 4856 KB Output is correct
10 Correct 6 ms 4856 KB Output is correct
11 Correct 7 ms 4856 KB Output is correct
12 Correct 7 ms 4856 KB Output is correct
13 Correct 6 ms 4856 KB Output is correct
14 Correct 7 ms 4856 KB Output is correct
15 Correct 7 ms 4856 KB Output is correct
16 Correct 7 ms 4856 KB Output is correct
17 Correct 7 ms 4856 KB Output is correct
18 Correct 7 ms 4856 KB Output is correct
19 Correct 6 ms 4856 KB Output is correct
20 Correct 7 ms 4828 KB Output is correct
21 Correct 7 ms 4856 KB Output is correct
22 Correct 7 ms 4856 KB Output is correct
23 Correct 7 ms 4856 KB Output is correct
24 Correct 7 ms 4856 KB Output is correct
25 Correct 7 ms 4856 KB Output is correct
26 Correct 6 ms 4856 KB Output is correct
27 Correct 6 ms 4828 KB Output is correct
28 Correct 6 ms 4832 KB Output is correct
29 Correct 6 ms 4856 KB Output is correct
30 Correct 7 ms 4856 KB Output is correct
31 Correct 7 ms 4856 KB Output is correct
32 Correct 7 ms 4856 KB Output is correct
33 Correct 7 ms 4856 KB Output is correct
34 Correct 7 ms 4856 KB Output is correct
35 Correct 6 ms 4856 KB Output is correct
36 Correct 7 ms 4856 KB Output is correct
37 Correct 7 ms 4856 KB Output is correct
38 Correct 7 ms 4856 KB Output is correct
39 Correct 7 ms 4856 KB Output is correct
40 Correct 7 ms 4856 KB Output is correct
41 Correct 7 ms 4856 KB Output is correct
42 Correct 7 ms 4856 KB Output is correct
43 Correct 6 ms 4860 KB Output is correct
44 Correct 7 ms 4856 KB Output is correct
45 Correct 8 ms 4988 KB Output is correct
46 Correct 16 ms 6136 KB Output is correct
47 Correct 16 ms 6136 KB Output is correct
48 Correct 16 ms 6136 KB Output is correct
49 Correct 11 ms 6264 KB Output is correct
50 Correct 11 ms 6264 KB Output is correct
51 Correct 11 ms 6392 KB Output is correct
52 Correct 11 ms 6264 KB Output is correct
53 Correct 11 ms 6268 KB Output is correct
54 Correct 12 ms 6264 KB Output is correct
55 Correct 12 ms 6308 KB Output is correct
56 Correct 12 ms 6264 KB Output is correct
57 Correct 22 ms 6136 KB Output is correct
58 Correct 23 ms 6136 KB Output is correct
59 Correct 22 ms 6136 KB Output is correct
60 Correct 23 ms 6136 KB Output is correct
61 Correct 12 ms 6264 KB Output is correct
62 Correct 12 ms 6308 KB Output is correct
63 Correct 12 ms 6264 KB Output is correct
64 Correct 15 ms 6136 KB Output is correct
65 Correct 16 ms 6152 KB Output is correct
66 Correct 16 ms 6136 KB Output is correct
67 Correct 16 ms 6200 KB Output is correct
68 Correct 10 ms 6264 KB Output is correct
69 Correct 11 ms 6264 KB Output is correct
70 Correct 11 ms 6236 KB Output is correct
71 Correct 11 ms 6264 KB Output is correct
72 Correct 22 ms 6136 KB Output is correct
73 Correct 22 ms 6136 KB Output is correct
74 Correct 11 ms 6140 KB Output is correct
75 Correct 12 ms 6140 KB Output is correct
76 Correct 12 ms 6136 KB Output is correct
77 Correct 12 ms 6136 KB Output is correct
78 Correct 11 ms 6136 KB Output is correct
79 Correct 11 ms 6136 KB Output is correct
80 Correct 11 ms 6136 KB Output is correct
81 Correct 13 ms 6264 KB Output is correct
82 Correct 15 ms 6140 KB Output is correct
83 Correct 15 ms 6136 KB Output is correct
84 Correct 12 ms 6108 KB Output is correct
85 Correct 12 ms 6180 KB Output is correct
86 Correct 12 ms 6136 KB Output is correct
87 Correct 38 ms 8440 KB Output is correct
88 Correct 127 ms 16108 KB Output is correct
89 Correct 530 ms 42332 KB Output is correct
90 Correct 567 ms 42352 KB Output is correct
91 Correct 528 ms 42336 KB Output is correct
92 Correct 172 ms 46504 KB Output is correct
93 Correct 172 ms 46384 KB Output is correct
94 Correct 170 ms 46320 KB Output is correct
95 Correct 183 ms 44400 KB Output is correct
96 Correct 188 ms 44924 KB Output is correct
97 Correct 189 ms 45004 KB Output is correct
98 Correct 184 ms 44888 KB Output is correct
99 Correct 191 ms 44340 KB Output is correct
100 Correct 988 ms 41860 KB Output is correct
101 Correct 985 ms 42312 KB Output is correct
102 Correct 1146 ms 42276 KB Output is correct
103 Correct 1091 ms 42176 KB Output is correct
104 Correct 221 ms 44656 KB Output is correct
105 Correct 221 ms 44656 KB Output is correct
106 Correct 275 ms 44656 KB Output is correct
107 Correct 610 ms 41340 KB Output is correct
108 Correct 551 ms 41344 KB Output is correct
109 Correct 625 ms 41712 KB Output is correct
110 Correct 154 ms 45676 KB Output is correct
111 Correct 211 ms 44376 KB Output is correct
112 Correct 169 ms 44272 KB Output is correct
113 Correct 172 ms 43608 KB Output is correct
114 Correct 980 ms 42052 KB Output is correct
115 Correct 928 ms 41328 KB Output is correct
116 Correct 195 ms 43632 KB Output is correct
117 Correct 191 ms 42656 KB Output is correct
118 Correct 190 ms 42352 KB Output is correct
119 Correct 189 ms 42096 KB Output is correct
120 Correct 176 ms 42388 KB Output is correct
121 Correct 172 ms 41968 KB Output is correct
122 Correct 172 ms 41712 KB Output is correct
123 Correct 235 ms 43076 KB Output is correct
124 Correct 236 ms 42608 KB Output is correct
125 Correct 246 ms 42480 KB Output is correct
126 Correct 223 ms 42480 KB Output is correct
127 Correct 231 ms 42012 KB Output is correct
128 Correct 225 ms 41896 KB Output is correct