This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
PROG: source
LANG: C++11
_____
.' '.
/ 0 0 \
| ^ |
| \ / |
\ '---' /
'._____.'
*/
#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
struct chash
{
int operator()(int x) const
{
x ^= (x >> 20) ^ (x >> 12);
return x ^ (x >> 7) ^ (x >> 4);
}
int operator()(long long x) const
{
return x ^ (x >> 32);
}
};
template<typename T> using orderedset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T, typename U> using hashtable = gp_hash_table<T, U, chash>;
template<class T>
void readi(T &x)
{
T input = 0;
bool negative = false;
char c = ' ';
while (c < '-')
{
c = getchar();
}
if (c == '-')
{
negative = true;
c = getchar();
}
while (c >= '0')
{
input = input * 10 + (c - '0');
c = getchar();
}
if (negative)
{
input = -input;
}
x = input;
}
template<class T>
void printi(T output)
{
if (output == 0)
{
putchar('0');
return;
}
if (output < 0)
{
putchar('-');
output = -output;
}
int aout[20];
int ilen = 0;
while(output)
{
aout[ilen] = ((output % 10));
output /= 10;
ilen++;
}
for (int i = ilen - 1; i >= 0; i--)
{
putchar(aout[i] + '0');
}
return;
}
template<class T>
void ckmin(T &a, T b)
{
a = min(a, b);
}
template<class T>
void ckmax(T &a, T b)
{
a = max(a, b);
}
template<class T, class U>
T normalize(T x, U mod = 1000000007)
{
return (((x % mod) + mod) % mod);
}
long long randomizell(long long mod)
{
return ((1ll << 45) * rand() + (1ll << 30) * rand() + (1ll << 15) * rand() + rand()) % mod;
}
int randomize(int mod)
{
return ((1ll << 15) * rand() + rand()) % mod;
}
#define y0 ___y0
#define y1 ___y1
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define PF push_front
#define LB lower_bound
#define UB upper_bound
#define fi first
#define se second
#define debug(x) cerr << #x << " = " << x << endl;
const long double PI = 4.0 * atan(1.0);
const long double EPS = 1e-10;
#define MAGIC 347
#define SINF 10007
#define CO 1000007
#define INF 1000000007
#define BIG 1000000931
#define LARGE 1696969696967ll
#define GIANT 2564008813937411ll
#define LLINF 2696969696969696969ll
#define MAXN 100013
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef pair<ld, ld> pdd;
int N;
vector<pii> edge[MAXN];
int parent[MAXN];
int dp[MAXN][2];
void dfs(int u)
{
// cerr << "dfs " << u << endl;
for (pii p : edge[u])
{
int d = p.fi, v = p.se;
if (v == parent[u])
{
continue;
}
parent[v] = u;
dfs(v);
}
return;
}
void solve(int u)
{
// cerr << "solve " << u << endl;
int dup = -INF;
for (pii p : edge[u])
{
int d = p.fi, v = p.se;
if (v == parent[u])
{
dup = d;
continue;
}
solve(v);
}
dp[u][1] = dup;
int incr = -INF;
for (pii p : edge[u])
{
int d = p.fi, v = p.se;
if (v == parent[u]) continue;
dp[u][1] += dp[v][1];
ckmax(incr, dp[v][0] + d - dp[v][1]);
}
dp[u][1] += incr;
int incr1 = -INF, incr2 = -INF;
for (pii p : edge[u])
{
int d = p.fi, v = p.se;
if (v == parent[u]) continue;
dp[u][0] += dp[v][1];
int gain = dp[v][0] + d - dp[v][1];
if (gain > incr1)
{
incr2 = incr1;
incr1 = gain;
}
else if (gain > incr2)
{
incr2 = gain;
}
}
dp[u][0] += max(0, incr2 + incr1);
ckmax(dp[u][1], dp[u][0]);
return;
}
int32_t main()
{
ios_base::sync_with_stdio(0);
srand(time(0));
// cout << fixed << setprecision(10);
// cerr << fixed << setprecision(10);
if (fopen("input.in", "r"))
{
freopen ("input.in", "r", stdin);
freopen ("output.out", "w", stdout);
}
cin >> N;
if (N == 1)
{
cout << "0\n"; return 0;
}
for (int i = 1; i < N; i++)
{
int u, v, d;
cin >> u >> v >> d;
u--; v--;
edge[u].PB({d, v});
edge[v].PB({d, u});
}
dfs(0);
solve(0);
cout << dp[0][0] << '\n';
//basically, choose edges so that no vertex has incidence more than 2
// cerr << "time elapsed = " << (clock() / (CLOCKS_PER_SEC / 1000)) << " ms" << endl;
return 0;
}
Compilation message (stderr)
beads.cpp: In function 'void dfs(int)':
beads.cpp:153:21: warning: unused variable 'd' [-Wunused-variable]
int d = p.fi, v = p.se;
^
beads.cpp: In function 'int32_t main()':
beads.cpp:216:11: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
freopen ("input.in", "r", stdin);
~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
beads.cpp:217:11: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
freopen ("output.out", "w", stdout);
~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
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