Submission #376412

# Submission time Handle Problem Language Result Execution time Memory
376412 2021-03-11T11:53:01 Z b00n0rp Chase (CEOI17_chase) C++17
100 / 100
712 ms 180844 KB
// --------------------------------------------------<TEMPLATE>--------------------------------------------------
// --------------------<optimizations>--------------------
/*
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx,avx2,fma")
*/ 
// -------------------</optimizations>--------------------
 
// ---------------<Headers and namespaces>----------------
#include <bits/stdc++.h>
using namespace std;
 
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
*/
 
// ---------------</Headers and namespaces>---------------
 
// -----------------<Defines and typedefs>----------------
// typedef tree<int,null_type,less<int>,rb_tree_tag, 
// tree_order_statistics_node_update> indexed_set; // use less_equal for multiset
// order_of_key (val): returns the no. of values less than val
// find_by_order (k): returns the iterator to kth largest element.(0-based)
 
typedef long double LD;
typedef long long ll;
#define int ll
#define pb push_back
#define mp make_pair
#define REP(i,n) for (int i = 0; i < n; i++)
#define FOR(i,a,b) for (int i = a; i < b; i++)
#define REPD(i,n) for (int i = n-1; i >= 0; i--)
#define FORD(i,a,b) for (int i = a; i >= b; i--)
#define remax(a,b) a = max(a,b)
#define remin(a,b) a = min(a,b)
#define all(v) v.begin(),v.end()
typedef map<int,int> mii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int,int> pii;
typedef vector<pii> vpii;
#define F first
#define S second
#define PQ(type) priority_queue<type>
#define PQD(type) priority_queue<type,vector<type>,greater<type> >
#define WL(t) while(t --)
#define SZ(x) ((int)(x).size())
#define runtime() ((double)clock() / CLOCKS_PER_SEC)
#define inrange(i,a,b) ((i>=min(a,b)) && (i<=max(a,b)))
 
/*
// -----<SCANF>-----
#define sfi(x) scanf("%d",&x);
#define sfi2(x,y) scanf("%d%d",&x,&y);
#define sfi3(x,y,z) scanf("%d%d%d",&x,&y,&z);
 
#define sfl(x) scanf("%lld",&x);
#define sfl2(x,y) scanf("%lld%lld",&x,&y);
#define sfl3(x,y,z) scanf("%lld%lld%lld",&x,&y,&z);
#define sfl4(x,y,z,x1) scanf("%lld%lld%lld%lld",&x,&y,&z,&x1);
#define sfl5(x,y,z,x1,y1) scanf("%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1);
#define sfl6(x,y,z,x1,y1,z1) scanf("%lld%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1,&z1);
 
#define sfs(x) scanf("%s",x);
#define sfs2(x,y) scanf("%s%s",x,y);
#define sfs3(x,y,z) scanf("%s%s%s",x,y,z);
// ----</SCANF>-----
 
// ----<PRINTF>-----
#define pfi(x) printf("%d\n",x);
#define pfi2(x,y) printf("%d %d\n",x,y);
#define pfi3(x,y,z) printf("%d %d %d\n",x,y,z);
 
#define pfl(x) printf("%lld\n",x);
#define pfl2(x,y) printf("%lld %lld\n",x,y);
#define pfl3(x,y,z) printf("%lld %lld %lld\n",x,y,z);
 
#define pfs(x) printf("%s\n",x);
#define pfs2(x,y) printf("%s %s\n",x,y);
#define pfs3(x,y,z) printf("%s %s %s\n",x,y,z);
 
#define pwe(x) printf("%lld ",x); // print without end
// ----</PRINTF>----
*/
#define FLSH fflush(stdout)
#define fileIO(name) \
    freopen(name".in", "r", stdin); \
    freopen(name".out", "w", stdout);
#define PRECISION(x) cout << fixed << setprecision(x); 
#define FAST_IO ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
 
// ----------------</Defines and typedefs>----------------
 
// -------------------<Debugging stuff>-------------------
#ifdef TRACE
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1>
void __f(const char* name, Arg1&& arg1){
    cout << name << " : " << arg1 << std::endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args){
    const char* comma = strchr(names + 1, ',');cout.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...);
}
#else
#define trace(...)
#endif
 
// ------------------</Debugging stuff>-------------------
 
// ------------------------<Consts>-----------------------
const int MAXN = 1000005;
const int SQRTN = 1003;
const int LOGN = 22;
const double PI=acos(-1);
 
#ifdef int
const int INF=1e16;
#else
const int INF=1e9;
#endif
 
const int MOD = 1000000007;
const int FMOD = 998244353;
const double eps = 1e-9;
// -----------------------</Consts>-----------------------
/*
// -------------------------<RNG>-------------------------
mt19937 RNG(chrono::steady_clock::now().time_since_epoch().count()); 
#define SHUF(v) shuffle(all(v), RNG);
// Use mt19937_64 for 64 bit random numbers.
 
// ------------------------</RNG>-------------------------
 
// ----------------------<MATH>---------------------------
template<typename T> T gcd(T a, T b){return(b?__gcd(a,b):a);}
template<typename T> T lcm(T a, T b){return(a*(b/gcd(a,b)));}
int add(int a, int b, int c = MOD){int res=a+b;return(res>=c?res-c:res);}
int mod_neg(int a, int b, int c = MOD){int res;if(abs(a-b)<c)res=a-b;else res=(a-b)%c;return(res<0?res+c:res);}
int mul(int a, int b, int c = MOD){ll res=(ll)a*b;return(res>=c?res%c:res);}
int muln(int a, int b, int c = MOD){ll res=(ll)a*b;return ((res%c)+c)%c;}
ll mulmod(ll a,ll b, ll m = MOD){ll q = (ll)(((LD)a*(LD)b)/(LD)m);ll r=a*b-q*m;if(r>m)r%=m;if(r<0)r+=m;return r;}
template<typename T>T expo(T e, T n){T x=1,p=e;while(n){if(n&1)x=x*p;p=p*p;n>>=1;}return x;}
template<typename T>T power(T e, T n, T m = MOD){T x=1,p=e;while(n){if(n&1)x=mul(x,p,m);p=mul(p,p,m);n>>=1;}return x;}
template<typename T>T extended_euclid(T a, T b, T &x, T &y){T xx=0,yy=1;y=0;x=1;while(b){T q=a/b,t=b;b=a%b;a=t;\
t=xx;xx=x-q*xx;x=t;t=yy;yy=y-q*yy;y=t;}return a;}
template<typename T>T mod_inverse(T a, T n = MOD){T x,y,z=0;T d=extended_euclid(a,n,x,y);return(d>1?-1:mod_neg(x,z,n));}
 
const int FACSZ = 1; // Make sure to change this
 
int fact[FACSZ],ifact[FACSZ];
 
void precom(int c = MOD){
    fact[0] = 1;
    FOR(i,1,FACSZ) fact[i] = mul(fact[i-1],i,c);
    ifact[FACSZ-1] = mod_inverse(fact[FACSZ-1],c);
    REPD(i,FACSZ-1){
        ifact[i] = mul(i+1,ifact[i+1],c);
    }
}
 
int ncr(int n,int r,int c = MOD){
    return mul(mul(ifact[r],ifact[n-r],c),fact[n],c);
} 
*/
// ----------------------</MATH>--------------------------
// --------------------------------------------------</TEMPLATE>--------------------------------------------------
 
void solvethetestcase();
 
signed main(){
    // comment when using scanf,printf
    FAST_IO
    int t = 1;
    // (UNCOMMENT FOR MULTIPLE TEST CASES)
    // cin >> t;
    FOR(testcase,1,t+1){
        // (UNCOMMENT FOR CODEJAM)
        // printf("Case #%lld: ",testcase); 
        solvethetestcase();
    }
}   
 
int n,k,a[100005],b[100005],par[100005];
vi adj[100005];
int dp1[100005][105],dp2[100005][105];

void dfs1(int u,int p){
    par[u] = p;
    REP(i,k+1) dp1[u][i] = 0;
    for(auto v:adj[u]){
        if(v == p) continue;
        dfs1(v,u);
        FOR(i,1,k+1){
            remax(dp1[u][i],max(dp1[v][i],dp1[v][i-1]+b[u]-a[p]));
        }       
    }
}
 
void dfs2(int u,int p){
    FOR(i,1,k+1){
        int t1mx1 = 0,t1mx2 = 0,t0mx1 = 0,t0mx2 = 0;
        for(auto v:adj[u]){
            if(v == p) continue;

            if(dp1[v][i] > t1mx1){
                t1mx2 = t1mx1;
                t1mx1 = dp1[v][i];
            }
            else if(dp1[v][i] > t1mx2) t1mx2 = dp1[v][i];

            if(dp1[v][i-1] > t0mx1){
                t0mx2 = t0mx1;
                t0mx1 = dp1[v][i-1];
            }
            else if(dp1[v][i-1] > t0mx2) t0mx2 = dp1[v][i-1];
        }
        for(auto v:adj[u]){
            if(v == p) continue;

            if(dp1[v][i] == t1mx1) remax(dp2[v][i],t1mx2);
            else remax(dp2[v][i],t1mx1);

            if(dp1[v][i-1] == t0mx1) remax(dp2[v][i],t0mx2+b[u]-a[v]);
            else remax(dp2[v][i],t0mx1+b[u]-a[v]);

            remax(dp2[v][i],dp2[u][i]);
            remax(dp2[v][i],b[u]-a[v]+dp2[u][i-1]);
        }
    }
    for(auto v:adj[u]){
        if(v != p) dfs2(v,u);
    }
}

void solvethetestcase(){
    cin >> n >> k;
    if(k == 0){
        cout << "0\n";
        return;
    }
    FOR(i,1,n+1) cin >> a[i];
    REP(i,n-1){
        int u,v; cin >> u >> v;
        adj[u].pb(v);
        adj[v].pb(u);
    }
    a[0] = 0;
    FOR(i,1,n+1){
        b[i] = 0;
        for(auto x:adj[i]) b[i] += a[x];   
    }
    dfs1(1,0);
    REP(i,k+1) dp2[1][i] = -INF;
    dfs2(1,0);
    int ans = 0;
    FOR(i,1,n+1){
        remax(ans,dp2[i][k-1]+b[i]);
        for(auto x:adj[i]){
            if(x != par[i]) remax(ans,dp1[x][k-1]+b[i]);
        }
    }
    cout << ans << "\n";
}
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2796 KB Output is correct
2 Correct 3 ms 2668 KB Output is correct
3 Correct 2 ms 2668 KB Output is correct
4 Correct 2 ms 2688 KB Output is correct
5 Correct 2 ms 2668 KB Output is correct
6 Correct 2 ms 2668 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2796 KB Output is correct
2 Correct 3 ms 2668 KB Output is correct
3 Correct 2 ms 2668 KB Output is correct
4 Correct 2 ms 2688 KB Output is correct
5 Correct 2 ms 2668 KB Output is correct
6 Correct 2 ms 2668 KB Output is correct
7 Correct 5 ms 4460 KB Output is correct
8 Correct 3 ms 4460 KB Output is correct
9 Correct 3 ms 4460 KB Output is correct
10 Correct 5 ms 4460 KB Output is correct
11 Correct 4 ms 4460 KB Output is correct
12 Correct 4 ms 4480 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 413 ms 178668 KB Output is correct
2 Correct 387 ms 178700 KB Output is correct
3 Correct 712 ms 173408 KB Output is correct
4 Correct 197 ms 173164 KB Output is correct
5 Correct 537 ms 173164 KB Output is correct
6 Correct 422 ms 173148 KB Output is correct
7 Correct 459 ms 173420 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2796 KB Output is correct
2 Correct 3 ms 2668 KB Output is correct
3 Correct 2 ms 2668 KB Output is correct
4 Correct 2 ms 2688 KB Output is correct
5 Correct 2 ms 2668 KB Output is correct
6 Correct 2 ms 2668 KB Output is correct
7 Correct 5 ms 4460 KB Output is correct
8 Correct 3 ms 4460 KB Output is correct
9 Correct 3 ms 4460 KB Output is correct
10 Correct 5 ms 4460 KB Output is correct
11 Correct 4 ms 4460 KB Output is correct
12 Correct 4 ms 4480 KB Output is correct
13 Correct 413 ms 178668 KB Output is correct
14 Correct 387 ms 178700 KB Output is correct
15 Correct 712 ms 173408 KB Output is correct
16 Correct 197 ms 173164 KB Output is correct
17 Correct 537 ms 173164 KB Output is correct
18 Correct 422 ms 173148 KB Output is correct
19 Correct 459 ms 173420 KB Output is correct
20 Correct 415 ms 173164 KB Output is correct
21 Correct 2 ms 2668 KB Output is correct
22 Correct 456 ms 175468 KB Output is correct
23 Correct 204 ms 175212 KB Output is correct
24 Correct 424 ms 175368 KB Output is correct
25 Correct 691 ms 175072 KB Output is correct
26 Correct 389 ms 180844 KB Output is correct
27 Correct 458 ms 180844 KB Output is correct