Cod sursa(job #3228703)

Utilizator Tudor06MusatTudor Tudor06 Data 10 mai 2024 10:13:41
Problema Heavy Path Decomposition Scor 80
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 4.09 kb
#include <bits/stdc++.h>
//#pragma GCC target( "avx2" )
#pragma GCC optimize( "O3,unroll-loops" )

using namespace std;

const int NMAX = 1e5 + 10;

int v[NMAX];

int qry( int start, int finish ) {
    int x = 0;
    for ( int i = start; i <= finish; i ++ ) {
        x = max( x, v[i] );
        //x -= ((x - v[i]) & ((x - v[i]) >> 31));
    }
    return x;
}

vector <int> edges[NMAX + 1];
int subsize[NMAX + 1];
int father[NMAX + 1];
int root[NMAX + 1];
int depth[NMAX + 1];

int dfs( int node, int p = 0 ) {
    subsize[node] = 1;
    father[node] = p;
    depth[node] = depth[p] + 1;
    for ( auto vec : edges[node] ) {
        if ( vec != p ) {
            subsize[node] += dfs( vec, node );
        }
    }
    return subsize[node];
}

int poz[NMAX + 1], t = 0;

void calcHeavy( int node, int r ) {
    root[node] = r;
    poz[node] = t++;
    int hc = 0, sub = 0;
    for ( auto vec : edges[node] ) {
        if ( vec != father[node] && subsize[vec] > sub ) {
            sub = subsize[vec];
            hc = vec;
        }
    }
    if ( !hc ) return;
    calcHeavy( hc, r );
    for ( auto vec : edges[node] ) {
        if ( vec != hc && vec != father[node] ) {
            calcHeavy( vec, vec );
        }
    }
}

int query( int node, int anc ) {
    int ans = 0;
    for ( ; poz[anc] <= poz[node]; node = father[root[node]] ) {
        int start = max( poz[anc], poz[root[node]] );
        ans = max( ans, qry( start, poz[node] ) );
    }
    return ans;
}
int lca( int u, int v ) {
    if ( root[u] == root[v] ) {
        if ( depth[u] < depth[v] ) return u;
        return v;
    }
    if ( depth[root[u]] < depth[root[v]] ) return lca( u, father[root[v]] );
    return lca( father[root[u]], v );
}
int queryAll( int a, int b ) {
    int l = lca( a, b );
    return max( { query( a, l ), query( b, l ), v[poz[l]] } );
}
int a[NMAX + 1];

class InParser {
private:
	FILE *fin;
	char *buff;
	int sp;

	char read_ch() {
		++sp;
		if (sp == 4096) {
			sp = 0;
			fread(buff, 1, 4096, fin);
		}
		return buff[sp];
	}

public:
	InParser(const char* nume) {
		fin = fopen(nume, "r");
		buff = new char[4096]();
		sp = 4095;
	}
	
	InParser& operator >> (int &n) {
		char c;
		while (!isdigit(c = read_ch()));
        n = 0;
		do {
			n = 10 * n + c - '0';
		} while (isdigit(c = read_ch()));
		return *this;
	}
};

class OutParser {
private:
    FILE *fout;
    char *buff;
    int sp;
 
    void write_ch(char ch) {
        if (sp == 50000) {
            fwrite(buff, 1, 50000, fout);
            sp = 0;
            buff[sp++] = ch;
        } else {
            buff[sp++] = ch;
        }
    }
 
 
public:
    OutParser(const char* name) {
        fout = fopen(name, "w");
        buff = new char[50000]();
        sp = 0;
    }
    ~OutParser() {
        fwrite(buff, 1, sp, fout);
        fclose(fout);
    }
 
    OutParser& operator << (int vu32) {
        if (vu32 <= 9) {
            write_ch(vu32 + '0');
        } else {
            (*this) << (vu32 / 10);
            write_ch(vu32 % 10 + '0');
        }
        return *this;
    }
 
    OutParser& operator << (long long vu64) {
        if (vu64 <= 9) {
            write_ch(vu64 + '0');
        } else {
            (*this) << (vu64 / 10);
            write_ch(vu64 % 10 + '0');
        }
        return *this;
    }
 
    OutParser& operator << (char ch) {
        write_ch(ch);
        return *this;
    }
    OutParser& operator << (const char *ch) {
        while (*ch) {
            write_ch(*ch);
            ++ch;
        }
        return *this;
    }
};

int main() {
    InParser fin( "heavypath.in" );
    OutParser fout( "heavypath.out" );
    int n, q;
    fin >> n >> q;
    for ( int i = 1; i <= n; i ++ ) fin >> a[i];
    for ( int i = 1, a, b; i < n; i ++ ) {
        fin >> a >> b;
        edges[a].push_back( b );
        edges[b].push_back( a );
    }
    dfs( 1 );
    calcHeavy( 1, 1 );
    poz[0] = -1;
    for ( int i = 1; i <= n; i ++ ) v[poz[i]] = a[i];
    
    for ( int i = 1, a, b, tip, x; i <= q; i ++ ) {
        fin >> tip >> a >> b;
        if ( tip == 1 ) {
            fout << queryAll( a, b ) << '\n';
        } else {
            v[poz[a]] = b;
        }
    }
    
    return 0;
}