oj.uz

Submission #131377

# Submission time Handle Problem Language Result Execution time Memory
131377 2019-07-17T05:44:43 Z PeppaPig Construction of Highway (JOI18_construction) C++14
100 / 100
 611 ms 114188 KB 
#include <bits/stdc++.h>

#define long long long
#define pii pair<long, long>
#define x first
#define y second

using namespace std;

const int N = 1e5+5;

int n, C[N];
int par[N], dep[N], spi[N], pos[N], rot[N];
deque<pii> Q[N];
vector<int> g[N];
vector<pii> E;

int dfs(int u, int p) {
    int sz = 1; pii ret(0, -1);
    par[u] = p, dep[u] = dep[p] + 1;
    for(int v : g[u]) if(v != p) {
        int z = dfs(v, u);
        ret = max(ret, pii(z, v));
        sz += z;
    }
    spi[u] = ret.y;
    return sz;
}

void hld() {
    dfs(1, 0);
    for(int i = 1, idx = 0; i <= n; i++) if(spi[par[i]] != i)
        for(int j = i; j != -1; j = spi[j])
            rot[j] = i, pos[j] = ++idx;
}

long query(int u) {
    vector<pii> ret; vector<int> coord;
    while(u) {
        int sz = pos[u] - pos[rot[u]] + 1;
        vector<pii> now;
        for(pii x : Q[rot[u]]) {
            if(x.y < sz) now.emplace_back(x), sz -= x.y;
            else { now.emplace_back(x.x, sz); break; }
        }
        reverse(now.begin(), now.end());
        for(pii x : now) ret.emplace_back(x), coord.emplace_back(x.x);
        u = par[rot[u]];
    }
    sort(coord.begin(), coord.end());
    coord.resize(unique(coord.begin(), coord.end()) - coord.begin());

    long sum = 0;
    vector<long> t((int)coord.size() + 1, 0);
    auto get = [&](int x) { return lower_bound(coord.begin(), coord.end(), x) - coord.begin() + 1; };
    auto upd = [&](int x, long k) { for(int i = x; i <= coord.size(); i += i & -i) t[i] += k; };
    auto que = [&](int x, long k = 0) { for(int i = x; i; i -= i & -i) k += t[i]; return k; };

    for(pii x : ret) {
        sum += que(get(x.x) - 1) * x.y;
        upd(get(x.x), x.y);
    }    
    return sum;
}

void update(int u, int k) {
    while(u) {
        int sz = pos[u] - pos[rot[u]] + 1;
        deque<pii> &now = Q[rot[u]];
        while(!now.empty()) {
            if(now.front().y <= sz) sz -= now.front().y, now.pop_front();
            else { now.front().y -= sz; break; }
        }
        Q[rot[u]].emplace_front(k, pos[u] - pos[rot[u]] + 1);
        u = par[rot[u]];
    }
}

int main() {
    scanf("%d", &n);
    for(int i = 1; i <= n; i++) scanf("%d", C + i);
    for(int i = 1, a, b; i < n; i++) {
        scanf("%d %d", &a, &b);
        E.emplace_back(a, b);
        g[a].emplace_back(b), g[b].emplace_back(a);
    }
    hld();
    Q[1].emplace_back(C[1], 1);
    for(pii p : E) {
        int u, v; tie(u, v) = p;
        printf("%lld\n", query(u));
        update(v, C[v]);
    }

    return 0;
}

Compilation message

construction.cpp: In lambda function:
construction.cpp:56:54: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     auto upd = [&](int x, long k) { for(int i = x; i <= coord.size(); i += i & -i) t[i] += k; };
                                                    ~~^~~~~~~~~~~~~~~
construction.cpp: In function 'int main()':
construction.cpp:80:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d", &n);
     ~~~~~^~~~~~~~~~
construction.cpp:81:38: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     for(int i = 1; i <= n; i++) scanf("%d", C + i);
                                 ~~~~~^~~~~~~~~~~~~
construction.cpp:83:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%d %d", &a, &b);
         ~~~~~^~~~~~~~~~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 70008 KB Output is correct
2 Correct 78 ms 69980 KB Output is correct
3 Correct 78 ms 70008 KB Output is correct
4 Correct 79 ms 70064 KB Output is correct
5 Correct 79 ms 70136 KB Output is correct
6 Correct 80 ms 70172 KB Output is correct
7 Correct 80 ms 70368 KB Output is correct
8 Correct 72 ms 70108 KB Output is correct
9 Correct 72 ms 70160 KB Output is correct
10 Correct 73 ms 70264 KB Output is correct
11 Correct 80 ms 70264 KB Output is correct
12 Correct 79 ms 70264 KB Output is correct
13 Correct 78 ms 70264 KB Output is correct
14 Correct 80 ms 70264 KB Output is correct
15 Correct 81 ms 70108 KB Output is correct
16 Correct 98 ms 70136 KB Output is correct
17 Correct 78 ms 70140 KB Output is correct
18 Correct 99 ms 70316 KB Output is correct
19 Correct 104 ms 70184 KB Output is correct
20 Correct 79 ms 70264 KB Output is correct
21 Correct 80 ms 70264 KB Output is correct
22 Correct 99 ms 70264 KB Output is correct
23 Correct 101 ms 70264 KB Output is correct
24 Correct 101 ms 70264 KB Output is correct
25 Correct 79 ms 70264 KB Output is correct
26 Correct 74 ms 70268 KB Output is correct
27 Correct 79 ms 70264 KB Output is correct
28 Correct 80 ms 70392 KB Output is correct
29 Correct 76 ms 70308 KB Output is correct
30 Correct 81 ms 70136 KB Output is correct
31 Correct 80 ms 70264 KB Output is correct
32 Correct 80 ms 70208 KB Output is correct
33 Correct 83 ms 70252 KB Output is correct
34 Correct 79 ms 70264 KB Output is correct
35 Correct 99 ms 70252 KB Output is correct
36 Correct 78 ms 70136 KB Output is correct
37 Correct 79 ms 70264 KB Output is correct
38 Correct 79 ms 70264 KB Output is correct
39 Correct 78 ms 70364 KB Output is correct
40 Correct 80 ms 70264 KB Output is correct
41 Correct 79 ms 70260 KB Output is correct
42 Correct 82 ms 70264 KB Output is correct
43 Correct 82 ms 70264 KB Output is correct
44 Correct 88 ms 70296 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 70008 KB Output is correct
2 Correct 78 ms 69980 KB Output is correct
3 Correct 78 ms 70008 KB Output is correct
4 Correct 79 ms 70064 KB Output is correct
5 Correct 79 ms 70136 KB Output is correct
6 Correct 80 ms 70172 KB Output is correct
7 Correct 80 ms 70368 KB Output is correct
8 Correct 72 ms 70108 KB Output is correct
9 Correct 72 ms 70160 KB Output is correct
10 Correct 73 ms 70264 KB Output is correct
11 Correct 80 ms 70264 KB Output is correct
12 Correct 79 ms 70264 KB Output is correct
13 Correct 78 ms 70264 KB Output is correct
14 Correct 80 ms 70264 KB Output is correct
15 Correct 81 ms 70108 KB Output is correct
16 Correct 98 ms 70136 KB Output is correct
17 Correct 78 ms 70140 KB Output is correct
18 Correct 99 ms 70316 KB Output is correct
19 Correct 104 ms 70184 KB Output is correct
20 Correct 79 ms 70264 KB Output is correct
21 Correct 80 ms 70264 KB Output is correct
22 Correct 99 ms 70264 KB Output is correct
23 Correct 101 ms 70264 KB Output is correct
24 Correct 101 ms 70264 KB Output is correct
25 Correct 79 ms 70264 KB Output is correct
26 Correct 74 ms 70268 KB Output is correct
27 Correct 79 ms 70264 KB Output is correct
28 Correct 80 ms 70392 KB Output is correct
29 Correct 76 ms 70308 KB Output is correct
30 Correct 81 ms 70136 KB Output is correct
31 Correct 80 ms 70264 KB Output is correct
32 Correct 80 ms 70208 KB Output is correct
33 Correct 83 ms 70252 KB Output is correct
34 Correct 79 ms 70264 KB Output is correct
35 Correct 99 ms 70252 KB Output is correct
36 Correct 78 ms 70136 KB Output is correct
37 Correct 79 ms 70264 KB Output is correct
38 Correct 79 ms 70264 KB Output is correct
39 Correct 78 ms 70364 KB Output is correct
40 Correct 80 ms 70264 KB Output is correct
41 Correct 79 ms 70260 KB Output is correct
42 Correct 82 ms 70264 KB Output is correct
43 Correct 82 ms 70264 KB Output is correct
44 Correct 88 ms 70296 KB Output is correct
45 Correct 82 ms 70352 KB Output is correct
46 Correct 88 ms 71416 KB Output is correct
47 Correct 89 ms 71420 KB Output is correct
48 Correct 86 ms 71416 KB Output is correct
49 Correct 95 ms 70776 KB Output is correct
50 Correct 102 ms 70904 KB Output is correct
51 Correct 79 ms 70776 KB Output is correct
52 Correct 84 ms 71800 KB Output is correct
53 Correct 87 ms 71800 KB Output is correct
54 Correct 87 ms 71672 KB Output is correct
55 Correct 85 ms 71772 KB Output is correct
56 Correct 87 ms 71672 KB Output is correct
57 Correct 88 ms 71416 KB Output is correct
58 Correct 91 ms 71416 KB Output is correct
59 Correct 92 ms 71416 KB Output is correct
60 Correct 92 ms 71420 KB Output is correct
61 Correct 86 ms 71672 KB Output is correct
62 Correct 83 ms 71672 KB Output is correct
63 Correct 95 ms 71544 KB Output is correct
64 Correct 97 ms 71416 KB Output is correct
65 Correct 88 ms 71416 KB Output is correct
66 Correct 90 ms 71416 KB Output is correct
67 Correct 88 ms 71544 KB Output is correct
68 Correct 77 ms 70776 KB Output is correct
69 Correct 85 ms 71904 KB Output is correct
70 Correct 85 ms 71776 KB Output is correct
71 Correct 84 ms 71676 KB Output is correct
72 Correct 89 ms 71416 KB Output is correct
73 Correct 92 ms 71416 KB Output is correct
74 Correct 84 ms 71672 KB Output is correct
75 Correct 86 ms 71672 KB Output is correct
76 Correct 85 ms 71544 KB Output is correct
77 Correct 85 ms 71416 KB Output is correct
78 Correct 87 ms 71524 KB Output is correct
79 Correct 86 ms 71416 KB Output is correct
80 Correct 86 ms 71416 KB Output is correct
81 Correct 85 ms 71672 KB Output is correct
82 Correct 87 ms 71584 KB Output is correct
83 Correct 86 ms 71568 KB Output is correct
84 Correct 86 ms 71416 KB Output is correct
85 Correct 85 ms 71416 KB Output is correct
86 Correct 84 ms 71420 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 70008 KB Output is correct
2 Correct 78 ms 69980 KB Output is correct
3 Correct 78 ms 70008 KB Output is correct
4 Correct 79 ms 70064 KB Output is correct
5 Correct 79 ms 70136 KB Output is correct
6 Correct 80 ms 70172 KB Output is correct
7 Correct 80 ms 70368 KB Output is correct
8 Correct 72 ms 70108 KB Output is correct
9 Correct 72 ms 70160 KB Output is correct
10 Correct 73 ms 70264 KB Output is correct
11 Correct 80 ms 70264 KB Output is correct
12 Correct 79 ms 70264 KB Output is correct
13 Correct 78 ms 70264 KB Output is correct
14 Correct 80 ms 70264 KB Output is correct
15 Correct 81 ms 70108 KB Output is correct
16 Correct 98 ms 70136 KB Output is correct
17 Correct 78 ms 70140 KB Output is correct
18 Correct 99 ms 70316 KB Output is correct
19 Correct 104 ms 70184 KB Output is correct
20 Correct 79 ms 70264 KB Output is correct
21 Correct 80 ms 70264 KB Output is correct
22 Correct 99 ms 70264 KB Output is correct
23 Correct 101 ms 70264 KB Output is correct
24 Correct 101 ms 70264 KB Output is correct
25 Correct 79 ms 70264 KB Output is correct
26 Correct 74 ms 70268 KB Output is correct
27 Correct 79 ms 70264 KB Output is correct
28 Correct 80 ms 70392 KB Output is correct
29 Correct 76 ms 70308 KB Output is correct
30 Correct 81 ms 70136 KB Output is correct
31 Correct 80 ms 70264 KB Output is correct
32 Correct 80 ms 70208 KB Output is correct
33 Correct 83 ms 70252 KB Output is correct
34 Correct 79 ms 70264 KB Output is correct
35 Correct 99 ms 70252 KB Output is correct
36 Correct 78 ms 70136 KB Output is correct
37 Correct 79 ms 70264 KB Output is correct
38 Correct 79 ms 70264 KB Output is correct
39 Correct 78 ms 70364 KB Output is correct
40 Correct 80 ms 70264 KB Output is correct
41 Correct 79 ms 70260 KB Output is correct
42 Correct 82 ms 70264 KB Output is correct
43 Correct 82 ms 70264 KB Output is correct
44 Correct 88 ms 70296 KB Output is correct
45 Correct 82 ms 70352 KB Output is correct
46 Correct 88 ms 71416 KB Output is correct
47 Correct 89 ms 71420 KB Output is correct
48 Correct 86 ms 71416 KB Output is correct
49 Correct 95 ms 70776 KB Output is correct
50 Correct 102 ms 70904 KB Output is correct
51 Correct 79 ms 70776 KB Output is correct
52 Correct 84 ms 71800 KB Output is correct
53 Correct 87 ms 71800 KB Output is correct
54 Correct 87 ms 71672 KB Output is correct
55 Correct 85 ms 71772 KB Output is correct
56 Correct 87 ms 71672 KB Output is correct
57 Correct 88 ms 71416 KB Output is correct
58 Correct 91 ms 71416 KB Output is correct
59 Correct 92 ms 71416 KB Output is correct
60 Correct 92 ms 71420 KB Output is correct
61 Correct 86 ms 71672 KB Output is correct
62 Correct 83 ms 71672 KB Output is correct
63 Correct 95 ms 71544 KB Output is correct
64 Correct 97 ms 71416 KB Output is correct
65 Correct 88 ms 71416 KB Output is correct
66 Correct 90 ms 71416 KB Output is correct
67 Correct 88 ms 71544 KB Output is correct
68 Correct 77 ms 70776 KB Output is correct
69 Correct 85 ms 71904 KB Output is correct
70 Correct 85 ms 71776 KB Output is correct
71 Correct 84 ms 71676 KB Output is correct
72 Correct 89 ms 71416 KB Output is correct
73 Correct 92 ms 71416 KB Output is correct
74 Correct 84 ms 71672 KB Output is correct
75 Correct 86 ms 71672 KB Output is correct
76 Correct 85 ms 71544 KB Output is correct
77 Correct 85 ms 71416 KB Output is correct
78 Correct 87 ms 71524 KB Output is correct
79 Correct 86 ms 71416 KB Output is correct
80 Correct 86 ms 71416 KB Output is correct
81 Correct 85 ms 71672 KB Output is correct
82 Correct 87 ms 71584 KB Output is correct
83 Correct 86 ms 71568 KB Output is correct
84 Correct 86 ms 71416 KB Output is correct
85 Correct 85 ms 71416 KB Output is correct
86 Correct 84 ms 71420 KB Output is correct
87 Correct 104 ms 73596 KB Output is correct
88 Correct 166 ms 80700 KB Output is correct
89 Correct 435 ms 105444 KB Output is correct
90 Correct 479 ms 105408 KB Output is correct
91 Correct 435 ms 105316 KB Output is correct
92 Correct 213 ms 90340 KB Output is correct
93 Correct 214 ms 90316 KB Output is correct
94 Correct 209 ms 90296 KB Output is correct
95 Correct 270 ms 113756 KB Output is correct
96 Correct 292 ms 114104 KB Output is correct
97 Correct 288 ms 114152 KB Output is correct
98 Correct 288 ms 114188 KB Output is correct
99 Correct 308 ms 110820 KB Output is correct
100 Correct 527 ms 97128 KB Output is correct
101 Correct 594 ms 97364 KB Output is correct
102 Correct 574 ms 97360 KB Output is correct
103 Correct 576 ms 97412 KB Output is correct
104 Correct 288 ms 110948 KB Output is correct
105 Correct 278 ms 110748 KB Output is correct
106 Correct 285 ms 110948 KB Output is correct
107 Correct 402 ms 104680 KB Output is correct
108 Correct 421 ms 104808 KB Output is correct
109 Correct 442 ms 104932 KB Output is correct
110 Correct 200 ms 89744 KB Output is correct
111 Correct 272 ms 113636 KB Output is correct
112 Correct 273 ms 113592 KB Output is correct
113 Correct 296 ms 110292 KB Output is correct
114 Correct 511 ms 96968 KB Output is correct
115 Correct 611 ms 96868 KB Output is correct
116 Correct 355 ms 110308 KB Output is correct
117 Correct 287 ms 107748 KB Output is correct
118 Correct 291 ms 106952 KB Output is correct
119 Correct 293 ms 106340 KB Output is correct
120 Correct 288 ms 107364 KB Output is correct
121 Correct 281 ms 106468 KB Output is correct
122 Correct 285 ms 106084 KB Output is correct
123 Correct 296 ms 107824 KB Output is correct
124 Correct 336 ms 106908 KB Output is correct
125 Correct 350 ms 106472 KB Output is correct
126 Correct 309 ms 107496 KB Output is correct
127 Correct 297 ms 106596 KB Output is correct
128 Correct 304 ms 106212 KB Output is correct