oj.uz

Submission #145061

# Submission time Handle Problem Language Result Execution time Memory
145061 2019-08-18T16:11:31 Z MladenP Hard route (IZhO17_road) C++17
100 / 100
 1121 ms 62456 KB 
#include<bits/stdc++.h>
#define STIZE(x) fprintf(stderr, "STIZE%d\n", x);
#define PRINT(x) fprintf(stderr, "%s = %d\n", #x, x);
#define NL(x) printf("%c", " \n"[(x)]);
#define lld long long
#define pii pair<int,int>
#define pb push_back
#define fi first
#define se second
#define mid (l+r)/2
#define endl '\n'
#define all(a) begin(a),end(a)
#define sz(a) int((a).size())
#define LINF 1000000000000000LL
#define INF 1000000000
#define EPS 1e-9
using namespace std;
#define MAXN 500010
int N, A, B, X, Y, dist1[MAXN], dist2[MAXN], len[MAXN], cnt[MAXN], L[MAXN];
lld C[MAXN];
vector<int> adj[MAXN];
void dfsMerge(int node, int prev) {
    lld maxi1 = 0, maxi2 = 0;
    for(auto x : adj[node]) {
        if(x != prev) {
            dfsMerge(x, node);
            if(len[x]+1 >= maxi1) maxi2 = maxi1, maxi1 = len[x]+1;
            else if(len[x]+1 >= maxi2) maxi2 = len[x]+1;
        }
    }
    if(maxi2 == 0) return;
    L[node] = maxi1+maxi2;
    if(maxi1 == maxi2) {
        lld sum = 0;
        for(auto x : adj[node]) {
            if(x != prev) {
                if(len[x]+1 == maxi1) C[node] -= cnt[x]*cnt[x], sum += cnt[x];
            }
        }
        C[node] += sum*sum;
        C[node] /= 2;
    } else {
        lld cnt1 = 0, cnt2 = 0;
        for(auto x : adj[node]) {
            if(x != prev) {
                if(len[x]+1 == maxi1) cnt1 += cnt[x];
                if(len[x]+1 == maxi2) cnt2 += cnt[x];
            }
        }
        C[node] = cnt1*cnt2;
    }
}
void dfsDist(int node, int prev, int dist[]) {
    dist[node] = dist[prev]+1;
    for(auto x : adj[node]) {
       if(x != prev) dfsDist(x, node, dist);
    }
}
pii dfsMaxPut(int node, int prev) {
    cnt[node] = 1;
    for(auto x : adj[node]) {
        if(x != prev) {
            pii cur = dfsMaxPut(x, node);
            if(cur.fi+1 > len[node]) {
                len[node] = cur.fi+1;
                cnt[node] = cur.se;
            } else if(cur.fi+1 == len[node]) cnt[node] += cur.se;
        }
    }
    return {len[node], cnt[node]};
}
int main() {
    ios::sync_with_stdio(false);cin.tie(0);
    cin >> N;
    for(int i = 1; i < N; i++) {
        int x, y; cin >> x >> y;
        adj[x].pb(y); adj[y].pb(x);
    }
    dist1[1] = -1; dfsDist(1, 1, dist1);
    for(int i = 1; i <= N; i++) if(dist1[i] > dist1[A]) A = i;
    dist1[A] = -1; dfsDist(A, A, dist1);
    for(int i = 1; i <= N; i++) if(dist1[i] > dist1[B]) B = i;
    dist2[B] = -1; dfsDist(B, B, dist2);
    int rast = INF, prec = 0;
    for(int i = 1; i <= N; i++) {
        int eks = max(dist1[i], dist2[i]);
        prec = max(prec, dist1[i]);
        if(eks == rast) Y = i;
        else if(eks < rast) X = i, Y = 0, rast = eks;
    }
    if(prec == N-1) {
        cout << 0 << ' ' << 1 << endl;
        return 0;
    }
    lld score = 0, Cnt = 0;
    if(Y == 0) {
        dfsMaxPut(X, X);
        dfsMerge(X, X);
        for(int i = 1; i <= N; i++) {
            if(i != X) {
                lld cur = (lld)(prec-len[i])*(L[i]);
                if(cur > score) {
                    Cnt = C[i];
                    score = cur;
                } else if(cur == score) Cnt += C[i];
            }
        }
        ///PUTEVI KOJI PROLAZE KROZ CENTAR
        if(adj[X].size() > 2) {
            lld maxi1 = 0, maxi2 = 0, br = 0, cnt1 = 0, cnt2 = 0;
            for(auto x : adj[X]) {
                if(len[x]+1 > maxi1) maxi2 = maxi1, maxi1 = len[x]+1;
                else if(len[x]+1 > maxi2) maxi2 = len[x]+1;
            }
            for(auto x : adj[X]) {
                if(len[x]+1 == maxi1) br++, cnt1 += cnt[x];
                if(len[x]+1 == maxi2) cnt2 += cnt[x];
            }
            if(br <= 2) {
                if(maxi1*(maxi1+maxi2) > score) score = maxi1*(maxi1+maxi2), Cnt = cnt1*cnt2;
                else if(maxi1*(maxi1+maxi2) == score) Cnt += cnt1*cnt2;
            } else {
                lld curS = cnt1*cnt1;
                for(auto x : adj[X]) {
                    if(len[x]+1 == maxi1) curS -= cnt[x]*cnt[x];
                }
                curS /= 2;
                if(2*maxi1*maxi1 > score) score = 2*maxi1*maxi1, Cnt = curS;
                else if(2*maxi1*maxi1 == score) Cnt += curS;
            }
        }
        ///
    } else {
        dfsMaxPut(X, Y); dfsMaxPut(Y, X);
        dfsMerge(X, Y); dfsMerge(Y, X);
        for(int i = 1; i <= N; i++) {
            lld cur = (lld)(prec-len[i])*(L[i]);
            if(cur > score) {
                Cnt = C[i];
                score = cur;
            } else if(cur == score) Cnt += C[i];
        }
    }
    cout << score << ' ' << Cnt << endl;
    return 0;
}

Subtask #1
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 12152 KB Output is correct
2 Correct 13 ms 12152 KB Output is correct
3 Correct 15 ms 12024 KB Output is correct
4 Correct 13 ms 12152 KB Output is correct
5 Correct 13 ms 12152 KB Output is correct
6 Correct 13 ms 12152 KB Output is correct
7 Correct 13 ms 12152 KB Output is correct
8 Correct 13 ms 12152 KB Output is correct
9 Correct 13 ms 12152 KB Output is correct
10 Correct 13 ms 12168 KB Output is correct
11 Correct 13 ms 12152 KB Output is correct
12 Correct 13 ms 12152 KB Output is correct
13 Correct 13 ms 12152 KB Output is correct
14 Correct 16 ms 12148 KB Output is correct
15 Correct 16 ms 12152 KB Output is correct
16 Correct 13 ms 12152 KB Output is correct
17 Correct 12 ms 12152 KB Output is correct
18 Correct 13 ms 12152 KB Output is correct
19 Correct 13 ms 12148 KB Output is correct
20 Correct 13 ms 12156 KB Output is correct
21 Correct 13 ms 12152 KB Output is correct
22 Correct 13 ms 12152 KB Output is correct
23 Correct 17 ms 12152 KB Output is correct
24 Correct 13 ms 12152 KB Output is correct

Subtask #2
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 12152 KB Output is correct
2 Correct 13 ms 12152 KB Output is correct
3 Correct 15 ms 12024 KB Output is correct
4 Correct 13 ms 12152 KB Output is correct
5 Correct 13 ms 12152 KB Output is correct
6 Correct 13 ms 12152 KB Output is correct
7 Correct 13 ms 12152 KB Output is correct
8 Correct 13 ms 12152 KB Output is correct
9 Correct 13 ms 12152 KB Output is correct
10 Correct 13 ms 12168 KB Output is correct
11 Correct 13 ms 12152 KB Output is correct
12 Correct 13 ms 12152 KB Output is correct
13 Correct 13 ms 12152 KB Output is correct
14 Correct 16 ms 12148 KB Output is correct
15 Correct 16 ms 12152 KB Output is correct
16 Correct 13 ms 12152 KB Output is correct
17 Correct 12 ms 12152 KB Output is correct
18 Correct 13 ms 12152 KB Output is correct
19 Correct 13 ms 12148 KB Output is correct
20 Correct 13 ms 12156 KB Output is correct
21 Correct 13 ms 12152 KB Output is correct
22 Correct 13 ms 12152 KB Output is correct
23 Correct 17 ms 12152 KB Output is correct
24 Correct 13 ms 12152 KB Output is correct
25 Correct 15 ms 12664 KB Output is correct
26 Correct 15 ms 12664 KB Output is correct
27 Correct 15 ms 12664 KB Output is correct
28 Correct 16 ms 12536 KB Output is correct
29 Correct 15 ms 12536 KB Output is correct
30 Correct 15 ms 12540 KB Output is correct
31 Correct 16 ms 12540 KB Output is correct
32 Correct 15 ms 12536 KB Output is correct
33 Correct 15 ms 12604 KB Output is correct
34 Correct 15 ms 12664 KB Output is correct
35 Correct 15 ms 12536 KB Output is correct
36 Correct 15 ms 12640 KB Output is correct
37 Correct 15 ms 12536 KB Output is correct
38 Correct 16 ms 12536 KB Output is correct
39 Correct 17 ms 12536 KB Output is correct
40 Correct 17 ms 12408 KB Output is correct
41 Correct 15 ms 12408 KB Output is correct
42 Correct 16 ms 12408 KB Output is correct
43 Correct 15 ms 12408 KB Output is correct
44 Correct 16 ms 12436 KB Output is correct
45 Correct 15 ms 12380 KB Output is correct
46 Correct 15 ms 12280 KB Output is correct
47 Correct 15 ms 12408 KB Output is correct
48 Correct 15 ms 12408 KB Output is correct

Subtask #3
48.0 / 48.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 12152 KB Output is correct
2 Correct 13 ms 12152 KB Output is correct
3 Correct 15 ms 12024 KB Output is correct
4 Correct 13 ms 12152 KB Output is correct
5 Correct 13 ms 12152 KB Output is correct
6 Correct 13 ms 12152 KB Output is correct
7 Correct 13 ms 12152 KB Output is correct
8 Correct 13 ms 12152 KB Output is correct
9 Correct 13 ms 12152 KB Output is correct
10 Correct 13 ms 12168 KB Output is correct
11 Correct 13 ms 12152 KB Output is correct
12 Correct 13 ms 12152 KB Output is correct
13 Correct 13 ms 12152 KB Output is correct
14 Correct 16 ms 12148 KB Output is correct
15 Correct 16 ms 12152 KB Output is correct
16 Correct 13 ms 12152 KB Output is correct
17 Correct 12 ms 12152 KB Output is correct
18 Correct 13 ms 12152 KB Output is correct
19 Correct 13 ms 12148 KB Output is correct
20 Correct 13 ms 12156 KB Output is correct
21 Correct 13 ms 12152 KB Output is correct
22 Correct 13 ms 12152 KB Output is correct
23 Correct 17 ms 12152 KB Output is correct
24 Correct 13 ms 12152 KB Output is correct
25 Correct 15 ms 12664 KB Output is correct
26 Correct 15 ms 12664 KB Output is correct
27 Correct 15 ms 12664 KB Output is correct
28 Correct 16 ms 12536 KB Output is correct
29 Correct 15 ms 12536 KB Output is correct
30 Correct 15 ms 12540 KB Output is correct
31 Correct 16 ms 12540 KB Output is correct
32 Correct 15 ms 12536 KB Output is correct
33 Correct 15 ms 12604 KB Output is correct
34 Correct 15 ms 12664 KB Output is correct
35 Correct 15 ms 12536 KB Output is correct
36 Correct 15 ms 12640 KB Output is correct
37 Correct 15 ms 12536 KB Output is correct
38 Correct 16 ms 12536 KB Output is correct
39 Correct 17 ms 12536 KB Output is correct
40 Correct 17 ms 12408 KB Output is correct
41 Correct 15 ms 12408 KB Output is correct
42 Correct 16 ms 12408 KB Output is correct
43 Correct 15 ms 12408 KB Output is correct
44 Correct 16 ms 12436 KB Output is correct
45 Correct 15 ms 12380 KB Output is correct
46 Correct 15 ms 12280 KB Output is correct
47 Correct 15 ms 12408 KB Output is correct
48 Correct 15 ms 12408 KB Output is correct
49 Correct 719 ms 60668 KB Output is correct
50 Correct 754 ms 60680 KB Output is correct
51 Correct 731 ms 60620 KB Output is correct
52 Correct 716 ms 60668 KB Output is correct
53 Correct 558 ms 60340 KB Output is correct
54 Correct 599 ms 60408 KB Output is correct
55 Correct 588 ms 60508 KB Output is correct
56 Correct 606 ms 60388 KB Output is correct
57 Correct 776 ms 60636 KB Output is correct
58 Correct 754 ms 60664 KB Output is correct
59 Correct 734 ms 60540 KB Output is correct
60 Correct 711 ms 60408 KB Output is correct
61 Correct 810 ms 62456 KB Output is correct
62 Correct 831 ms 62416 KB Output is correct
63 Correct 1086 ms 52088 KB Output is correct
64 Correct 1078 ms 47608 KB Output is correct
65 Correct 1071 ms 44960 KB Output is correct
66 Correct 1121 ms 43744 KB Output is correct
67 Correct 1050 ms 43256 KB Output is correct
68 Correct 1109 ms 42996 KB Output is correct
69 Correct 1038 ms 42872 KB Output is correct
70 Correct 1035 ms 42860 KB Output is correct
71 Correct 1044 ms 42744 KB Output is correct
72 Correct 1089 ms 42872 KB Output is correct
73 Correct 1095 ms 42892 KB Output is correct
74 Correct 1045 ms 42948 KB Output is correct
75 Correct 1032 ms 42996 KB Output is correct
76 Correct 999 ms 43004 KB Output is correct
77 Correct 696 ms 43556 KB Output is correct
78 Correct 438 ms 42852 KB Output is correct