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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#163914 | #6738. Cover | ucup-team1209# | AC ✓ | 426ms | 40140kb | C++20 | 2.7kb | 2023-09-04 16:38:02 | 2023-09-04 16:38:02 |
Judging History
answer
#include<bits/stdc++.h>
using u64 = unsigned long long;
using std::cin;
using std::cout;
const int mod = 998244353;
using ll = long long;
const int N = 100005;
int n, m, k;
struct edge { int to, nxt; } e[N << 1];
int h[N], num;
void link(int x, int y) {
e[++num] = {y, h[x]}, h[x] = num;
e[++num] = {x, h[y]}, h[y] = num;
}
int st[20][N], dfn[N], cnt;
int min(int x, int y) {
return dfn[x] < dfn[y] ? x : y;
}
void dfs0(int x, int fa = 0) {
st[0][cnt] = fa, dfn[x] = ++cnt;
for(int i = h[x];i;i = e[i].nxt) if(e[i].to != fa) {
dfs0(e[i].to, x);
}
}
int lca(int x, int y) {
if(dfn[x] > dfn[y]) std::swap(x, y);
const int lg = std::__lg(dfn[y] - dfn[x]);
if(x == y) return x;
return min(st[lg][dfn[x]], st[lg][dfn[y] - (1 << lg)]);
}
struct qy { int a, b; ll w; };
std::vector<qy> v[N];
ll dp[N];
ll sdp[N];
int anc[N]; ll w[N];
int find(int x) {
if(x == anc[x]) return x;
int t = find(anc[x]);
w[x] += w[anc[x]];
return anc[x] = t;
}
ll ask(int x) {
find(x);
return w[x] + dp[x];
}
int id[N];
void up(ll & x, ll y) {
if(x < y) x = y;
}
void dfs1(int x, int fa = 0) {
int cc = 0;
std::vector<ll> all;
for(int i = h[x];i;i = e[i].nxt) if(e[i].to != fa) {
dfs1(e[i].to, x);
id[e[i].to] = cc++;
sdp[x] += dp[e[i].to];
all.push_back(dp[e[i].to]);
}
std::vector<qy> pb;
for(auto [a, b, w] : v[x]) {
if(b == x) std::swap(a, b);
if(a == x) {
ll res = ask(b);
up(all[id[find(b)]], res + w);
} else {
ll res = ask(a) + ask(b);
pb.push_back({ id[find(a)], id[find(b)], res + w });
}
}
{
std::vector<ll> dp(1 << cc);
for(int i = 1;i < 1 << cc;++i) {
dp[i] = dp[i & (i - 1)] + all[__builtin_ctz(i)];
}
for(auto [a, b, w] : pb) {
int s = (1 << cc) - 1, t = (1 << a) | (1 << b);
s ^= t;
for(int i = s;i;i = (i - 1) & s) {
up(dp[i | t], dp[i] + w);
}
up(dp[t], w);
}
::dp[x] = dp[(1 << cc) - 1];
for(int i = h[x];i;i = e[i].nxt) if(e[i].to != fa) {
anc[e[i].to] = x;
w[e[i].to] = dp[((1 << cc) - 1) ^ (1 << id[e[i].to])];
}
}
}
int deg[N];
int main() {
std::ios::sync_with_stdio(false), cin.tie(0);
#ifdef zqj
freopen("$.in", "r", stdin);
#endif
cin >> n >> m >> k;
for(int i = 1, x, y;i < n;++i) {
cin >> x >> y;
link(x, y);
++ deg[x]; ++ deg[y];
}
int r = std::min_element(deg + 1, deg + n + 1) - deg;
dfs0(r);
for(int i = 1;i < 20;++i)
for(int j = 1;j + (1 << i) - 1 < n;++j)
st[i][j] = min(st[i - 1][j], st[i - 1][j + (1 << (i - 1))]);
for(int i = 1, a, b, w;i <= m;++i) {
cin >> a >> b >> w;
v[lca(a, b)].push_back({a, b, w});
}
for(int i = 1;i <= n;++i) anc[i] = i;
dfs1(r);
cout << dp[r] << '\n';
}
详细
Test #1:
score: 100
Accepted
time: 3ms
memory: 11756kb
input:
5 7 3 1 2 1 3 2 4 2 5 3 2 8 5 4 10 3 1 2 1 2 7 2 1 2 1 2 1 5 2 3
output:
19
result:
ok 1 number(s): "19"
Test #2:
score: 0
Accepted
time: 404ms
memory: 40140kb
input:
100000 500000 12 2 1 3 2 4 2 5 2 6 5 7 2 8 5 9 3 10 2 11 2 12 5 13 1 14 1 15 1 16 1 17 1 18 1 19 1 20 1 21 1 22 1 23 1 24 12 25 2 26 2 27 2 28 2 29 2 30 15 31 30 32 23 33 26 34 22 35 30 36 26 37 3 38 3 39 3 40 3 41 3 42 3 43 3 44 3 45 3 46 3 47 20 48 21 49 4 50 4 51 4 52 4 53 4 54 4 55 4 56 4 57 4 5...
output:
660925834533
result:
ok 1 number(s): "660925834533"
Test #3:
score: 0
Accepted
time: 423ms
memory: 33204kb
input:
100000 500000 12 2 1 3 2 4 1 5 4 6 2 7 5 8 2 9 7 10 8 11 3 12 11 13 1 14 1 15 1 16 1 17 1 18 1 19 1 20 1 21 1 22 1 23 22 24 8 25 2 26 2 27 2 28 2 29 2 30 2 31 2 32 2 33 26 34 27 35 23 36 13 37 3 38 3 39 3 40 3 41 3 42 3 43 3 44 3 45 3 46 3 47 14 48 8 49 4 50 4 51 4 52 4 53 4 54 4 55 4 56 4 57 4 58 4...
output:
664434138007
result:
ok 1 number(s): "664434138007"
Test #4:
score: 0
Accepted
time: 393ms
memory: 34476kb
input:
100000 500000 12 2 1 3 1 4 2 5 3 6 4 7 2 8 7 9 2 10 6 11 4 12 8 13 1 14 1 15 1 16 1 17 1 18 1 19 1 20 1 21 1 22 1 23 13 24 23 25 2 26 2 27 2 28 2 29 2 30 2 31 2 32 2 33 26 34 31 35 33 36 33 37 3 38 3 39 3 40 3 41 3 42 3 43 3 44 3 45 3 46 3 47 34 48 16 49 4 50 4 51 4 52 4 53 4 54 4 55 4 56 4 57 4 58 ...
output:
639691495391
result:
ok 1 number(s): "639691495391"
Test #5:
score: 0
Accepted
time: 412ms
memory: 33624kb
input:
100000 500000 12 2 1 3 1 4 2 5 1 6 5 7 4 8 2 9 1 10 4 11 8 12 7 13 1 14 1 15 1 16 1 17 1 18 1 19 1 20 1 21 14 22 14 23 21 24 20 25 2 26 2 27 2 28 2 29 2 30 2 31 2 32 2 33 2 34 23 35 31 36 7 37 3 38 3 39 3 40 3 41 3 42 3 43 3 44 3 45 3 46 3 47 3 48 29 49 4 50 4 51 4 52 4 53 4 54 4 55 4 56 4 57 4 58 3...
output:
662244733768
result:
ok 1 number(s): "662244733768"
Test #6:
score: 0
Accepted
time: 426ms
memory: 39340kb
input:
100000 500000 12 2 1 3 1 4 1 5 1 6 3 7 1 8 4 9 3 10 7 11 2 12 5 13 1 14 1 15 1 16 1 17 1 18 1 19 1 20 14 21 12 22 11 23 9 24 20 25 2 26 2 27 2 28 2 29 2 30 2 31 2 32 2 33 2 34 2 35 14 36 30 37 3 38 3 39 3 40 3 41 3 42 3 43 3 44 3 45 3 46 24 47 38 48 35 49 4 50 4 51 4 52 4 53 4 54 4 55 4 56 4 57 4 58...
output:
669458090009
result:
ok 1 number(s): "669458090009"
Test #7:
score: 0
Accepted
time: 140ms
memory: 36108kb
input:
100000 500000 12 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 19 18 20 19 21 20 22 21 23 22 24 23 25 24 26 25 27 26 28 27 29 28 30 29 31 30 32 31 33 32 34 33 35 34 36 35 37 36 38 37 39 38 40 39 41 40 42 41 43 42 44 43 45 44 46 45 47 46 48 47 49 48 50 49 51 50 ...
output:
488921502446
result:
ok 1 number(s): "488921502446"
Test #8:
score: 0
Accepted
time: 136ms
memory: 34968kb
input:
100000 500000 12 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 19 18 20 19 21 20 22 21 23 22 24 23 25 24 26 25 27 26 28 27 29 28 30 29 31 30 32 31 33 32 34 33 35 34 36 35 37 36 38 37 39 38 40 16 41 40 42 41 43 42 44 33 45 44 46 45 47 46 48 47 49 48 50 49 51 50 ...
output:
468137226275
result:
ok 1 number(s): "468137226275"
Test #9:
score: 0
Accepted
time: 135ms
memory: 35456kb
input:
100000 500000 12 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 19 18 20 19 21 20 22 21 23 22 24 23 25 24 26 25 27 26 28 27 29 28 30 29 31 30 32 31 33 32 34 33 35 34 36 35 37 36 38 37 39 38 40 39 41 40 42 41 43 42 44 43 45 44 46 45 47 46 48 47 49 48 50 35 51 50 ...
output:
483733769728
result:
ok 1 number(s): "483733769728"
Test #10:
score: 0
Accepted
time: 132ms
memory: 35884kb
input:
100000 500000 12 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 19 18 20 19 21 20 22 21 23 22 24 23 25 24 26 25 27 26 28 27 29 28 30 29 31 30 32 31 33 32 34 33 35 34 36 35 37 36 38 37 39 38 40 39 41 40 42 41 43 42 44 43 45 44 46 45 47 46 48 47 49 48 50 49 51 50 ...
output:
478945297872
result:
ok 1 number(s): "478945297872"
Test #11:
score: 0
Accepted
time: 137ms
memory: 35996kb
input:
100000 500000 12 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 19 18 20 19 21 20 22 21 23 22 24 23 25 24 26 25 27 26 28 27 29 28 30 29 31 30 32 31 33 32 34 33 35 34 36 35 37 36 38 37 39 38 40 39 41 40 42 41 43 42 44 43 45 44 46 45 47 46 48 47 49 48 50 49 51 50 ...
output:
489443708266
result:
ok 1 number(s): "489443708266"
Test #12:
score: 0
Accepted
time: 262ms
memory: 30032kb
input:
10000 500000 12 2 1 3 2 4 1 5 1 6 2 7 5 8 2 9 8 10 6 11 8 12 4 13 11 14 1 15 6 16 5 17 10 18 17 19 12 20 8 21 16 22 1 23 5 24 21 25 23 26 3 27 18 28 6 29 8 30 15 31 1 32 30 33 17 34 23 35 5 36 24 37 33 38 25 39 34 40 1 41 24 42 11 43 6 44 18 45 28 46 25 47 32 48 40 49 29 50 43 51 33 52 9 53 2 54 20 ...
output:
560772428222
result:
ok 1 number(s): "560772428222"
Test #13:
score: 0
Accepted
time: 161ms
memory: 32632kb
input:
10000 500000 12 2 1 3 2 4 2 5 2 6 4 7 5 8 4 9 4 10 4 11 4 12 10 13 5 14 13 15 9 16 15 17 2 18 5 19 14 20 11 21 11 22 20 23 20 24 1 25 5 26 15 27 20 28 17 29 4 30 18 31 12 32 14 33 18 34 18 35 16 36 31 37 18 38 19 39 12 40 17 41 14 42 7 43 27 44 25 45 13 46 35 47 10 48 15 49 46 50 44 51 21 52 15 53 2...
output:
572767352204
result:
ok 1 number(s): "572767352204"
Test #14:
score: 0
Accepted
time: 281ms
memory: 37876kb
input:
10000 500000 12 2 1 3 1 4 2 5 2 6 2 7 4 8 7 9 7 10 2 11 9 12 3 13 1 14 7 15 9 16 8 17 2 18 13 19 12 20 2 21 16 22 8 23 13 24 8 25 20 26 25 27 14 28 4 29 28 30 4 31 12 32 13 33 24 34 1 35 21 36 5 37 16 38 28 39 35 40 28 41 13 42 20 43 19 44 16 45 40 46 28 47 3 48 5 49 14 50 2 51 4 52 47 53 47 54 15 5...
output:
585482767864
result:
ok 1 number(s): "585482767864"
Test #15:
score: 0
Accepted
time: 148ms
memory: 31576kb
input:
10000 500000 12 2 1 3 2 4 3 5 3 6 3 7 5 8 7 9 4 10 3 11 2 12 7 13 4 14 8 15 9 16 1 17 12 18 13 19 2 20 3 21 16 22 10 23 20 24 4 25 19 26 6 27 17 28 5 29 17 30 27 31 22 32 14 33 11 34 4 35 24 36 34 37 14 38 23 39 18 40 30 41 28 42 36 43 12 44 5 45 14 46 17 47 11 48 14 49 16 50 16 51 18 52 30 53 17 54...
output:
564574799774
result:
ok 1 number(s): "564574799774"
Test #16:
score: 0
Accepted
time: 148ms
memory: 30644kb
input:
10000 500000 12 2 1 3 1 4 2 5 2 6 4 7 6 8 5 9 8 10 7 11 7 12 5 13 1 14 5 15 11 16 9 17 3 18 4 19 10 20 8 21 2 22 11 23 18 24 10 25 8 26 16 27 22 28 11 29 20 30 12 31 4 32 19 33 27 34 6 35 1 36 24 37 18 38 30 39 32 40 10 41 9 42 15 43 34 44 27 45 34 46 7 47 34 48 39 49 32 50 13 51 11 52 38 53 17 54 5...
output:
575291114848
result:
ok 1 number(s): "575291114848"