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VII MaratonUSP Freshman Contest

时间:2023-02-07 23:35:50浏览次数:55  
标签:ch int VII MaratonUSP while long && Freshman getchar

A. Abducting Nathan!

每得2k分会轮回,模2k后,小于k先手,反之后手

#include<bits/stdc++.h>
using namespace std;

typedef long long ll;

int read(){
	int x = 0 , ch = getchar();
	while( ch < '0' || ch > '9' ) ch = getchar();
	while( ch >= '0' && ch <= '9' ) x = (x<<3)+(x<<1) + ch - '0' , ch = getchar();
	return x;
}

void solve(){
	ll k = read() , t = read() , n = read();
	ll p = ( t + n ) % ( k * 2 );
	if( p < k ) printf("Thiago\n");
	else printf("Nathan\n");
	return ;
}

int main(){
	for( int t = read() ; t ; t -- )
		solve();
	return 0;
}

B. Best University ID

找哪个人的最大质因子最大。先求出1e4以内的素数,然后试除法即可。

#include<bits/stdc++.h>
using namespace std;

const int N = 1e4+5;
bitset<N> notPrime;
vector<int> prime;

void getPrime(){
	notPrime[0] = notPrime[1] = true;
	for( int i = 2 ; i < N ; i ++ ){
		if( notPrime[i] == false ) prime.push_back(i);
		for( auto j : prime ){
			if( j * i >= N ) break;
			notPrime[ j*i ] = true;
		}
	}
}

int getVal( int x ){
	int t = 0;
	for( auto i : prime ){
		if( x % i != 0 ) continue;
		t = i;
		while( x % i == 0 ) x /= i;
		if( x == 1 ) break;
	}
	return max( t , x );
}

int main(){
	getPrime();
	int n , val = 0;
	cin >> n;
	string res , s;
	for( int i = 1 , id , t ; i <= n ; i ++ ){
		cin >> s >> id;
		t = getVal(id);
		if( t > val ) val = t , res = s;
	}
	cout << res;
	return 0;
}

C. CCM

\(v_{ma}\)是无用变量,因为\(r_{ca}>r_{cr} \and r_{ca} > r_{ma}\),所以\(v_{ca} > v_{cr}\)一定成立。因为三人的三角形是等腰三角形,所以Marcel的气球一定是于Carlinhos相遇。所以之间判断Carlinhos的气球是否大于Marcel到Carlinhos距离的一半即可。因此可以二分出最小速度。

#include<bits/stdc++.h>
using namespace std;

#define double long double

double x , y , d , vcr , vma;

bool check( double v ){
	if( x * v / ( v + vcr ) >= d * 0.5 ) return true;
	return false;
}

int32_t main(){
	cin >> x >> y >> vcr >> vma;
	d = sqrt( y * y + x * x / 4.0 );
	double l = vcr , r = 1e18 , mid;
	for( int t = 500 ; t ; t -- ){
		mid = ( l + r ) * 0.5;
		if( check(mid) ) r = mid;
		else l = mid;
	}
	cout << setprecision(15) << fixed << ( l + r ) * 0.5 << "\n";
	return 0;
}

D. Diary of Hapiness

求和,判断和与0的关系

#include<bits/stdc++.h>
using namespace std;

typedef long long ll;

int read(){
	int x = 0 , f = 1 , ch = getchar();
	while( (ch < '0' || ch > '9') && ch != '-' ) ch = getchar();
	if( ch == '-' ) f = -1 , ch = getchar();
	while( ch >= '0' && ch <= '9' ) x = (x<<3)+(x<<1) + ch - '0' , ch = getchar();
	return x * f;
}

int main(){
	int res = 0;
	for( int x , n = read() ; n ; n -- ) 
		x = read() , res += x;
	if( res > 0 ) printf(":)\n");
	else if( res == 0 ) printf(":|\n");
	else printf(":(\n");
	return 0;
}

E. El Classificador

multiset+lower_bound实现

#include<bits/stdc++.h>
using namespace std;

#define int long long

int read(){
	int x = 0 , f = 1 , ch = getchar();
	while( (ch < '0' || ch > '9') && ch != '-' ) ch = getchar();
	if( ch == '-' ) f = -1 , ch = getchar();
	while( ch >= '0' && ch <= '9' ) x = (x<<3)+(x<<1) + ch - '0' , ch = getchar();
	return x * f;
}

int32_t main(){
	int n = read() , q = read();
	multiset<int> st;
	for( int x ; n ; n -- ) x = read() , st.insert(x);
	for( int x ; q ; q --  ){
		x = read();
		auto it = st.lower_bound(x);
		if( it != st.end() && *it >= x ) printf("%lld\n" , *it ) , st.erase(it);
		else printf("-1\n");
	}
}

F. Food Queue

很好队列后贪心的选择用时最少的即可

#include<bits/stdc++.h>
using namespace std;

#define int long long

int read(){
	int x = 0 , f = 1 , ch = getchar();
	while( (ch < '0' || ch > '9') && ch != '-' ) ch = getchar();
	if( ch == '-' ) f = -1 , ch = getchar();
	while( ch >= '0' && ch <= '9' ) x = (x<<3)+(x<<1) + ch - '0' , ch = getchar();
	return x * f;
}

int32_t main(){
	int n = read() , m = read() , cnt = 0;
	array<vector<int>,4> q;
	char s[3];
	for( int t ; n ; n -- ){
		scanf("%s" , s ) , t = read();
		if( s[0] == 'C' ) q[0].push_back(t);
		else if( s[0] == 'F' ) q[1].push_back(t);
		else if( s[0] == 'P' ) q[2].push_back(t);
		else q[3].push_back(t);
	}
	for( auto it : q ){
		sort( it.begin() , it.end() );
		int p = m;
		for( auto t : it ){
			if( t > p ) break;
			p -= t , cnt ++;
		}
	}
	cout << cnt;
}

G. Grand Meeting

找到两人所在车站之间的距离,距离的一半就是花费时间,注意上取整

#include<bits/stdc++.h>
using namespace std;

int main(){
	int n;
	string s , c , m;
	cin >> n;
	map<string,int> stations;
	for( int i = 1 ; i <= n ; i ++ )
		cin >> s , stations[s] = i;
	cin >> c >> m;
	int dis = abs(stations[c] - stations[m]);
	cout << (dis / 2 + dis % 2 ) << '\n'; 
	return 0;
}

H. Harada Football Clube

至少要有四个人,且门将只能有一个,所以剩下的人分成三种职业,即求\(x+y+z=(n-4),x\ge0,y\ge0,z\ge0\)解的个数。可以转化为\(x+y+z=(n-4)+3,x\ge1,y\ge1,z\ge1\)的方案数。隔板法\(C_{(n-4)+3-1}^{2}\)

#include<bits/stdc++.h>
using namespace std;

#define int long long

int32_t main(){
	int n; cin >> n ; n -= 2;
	cout << n * (n-1) / 2;
}

I. Irritating Carlinhos

直接模拟一下就好

#include<bits/stdc++.h>
using namespace std;


int main(){
	map<char,int> dx,dy;
	dx['U'] = 0 , dy['U'] = 1;
	dx['D'] = 0 , dy['D'] = -1;
	dx['R'] = 1 , dy['R'] = 0;
	dx['L'] = -1 , dy['R'] = 0;
	int cx , cy , tx , ty , n ;
	string opt , opc;
	cin >> tx >> ty >> cx >> cy >> opt >> opc;
	n = opt.size();
	if( cx == tx && cy == ty ) cout << "Rodou!\n" , exit(0);
	for( int i = 0 ; i < n ; i ++ ){
		tx += dx[ opt[i] ] , ty += dy[ opt[i] ];
		if( cx == tx && cy == ty ) cout << "Rodou!\n" , exit(0);
		cx += dx[ opc[i] ] , cy += dy[ opc[i] ];
		if( cx == tx && cy == ty ) cout << "Rodou!\n" , exit(0);
	}
	cout << "Quase!\n";
	return 0;
}

J. Journey through time

直接res[i][0/1/2]表示第i次操作后的最大值、最小值、元素和,然后递推的维护一下就好

#include<bits/stdc++.h>
using namespace std;

#define int long long


int read(){
	int x = 0 , f = 1 , ch = getchar();
	while( (ch < '0' || ch > '9') && ch != '-' ) ch = getchar();
	if( ch == '-' ) f = -1 , ch = getchar();
	while( ch >= '0' && ch <= '9' ) x = (x<<3)+(x<<1) + ch - '0' , ch = getchar();
	return x * f;
}

int32_t main(){
	int n = read();
	vector< array<int,3> > res(n+1);
	res[0][0] = LLONG_MIN , res[0][1] = LLONG_MAX , res[0][0] = 0;
	for( int i = 1 , op, t ; i <= n ; i ++ ){
		op = read() , t = read();
		if( op == 1 ) res[i][0] = max( res[i-1][0] , t ) , res[i][1] = min( res[i-1][1] , t ) , res[i][2] = res[i-1][2] + t;
		else op -= 2 , res[i] = res[i-1] , printf( "%lld\n" , res[t][op] );
	}
	return 0;
}

标签:ch,int,VII,MaratonUSP,while,long,&&,Freshman,getchar
From: https://www.cnblogs.com/PHarr/p/17100155.html

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