2024牛客寒假算法基础集训营1(题目全解)
- A
- B
- C
- D
- E
- F
- G
- H
- I
- J
- K
- L
- M
2024牛客寒假算法基础集训营1(视频讲解全部题目)
A
#include<bits/stdc++.h>
#define endl '\n'
#define deb(x) cout << #x << " = " << x << '\n';
#define INF 0x3f3f3f3f
using namespace std;
void solve()
{
int n; cin >> n;
string s; cin >> s;
bool f = false, F = false;
for(int i = 0; i < n; i ++){
if(s[i] == 'd'){
for(int j = i + 1; j < n; j ++){
if(s[j] == 'f'){
for(int k = j + 1; k < n; k ++){
if(s[k] =='s'){
f = true;
}
}
}
}
}
}
for(int i = 0; i < n; i ++){
if(s[i] == 'D'){
for(int j = i + 1; j < n; j ++){
if(s[j] == 'F'){
for(int k = j + 1; k < n; k ++){
if(s[k] =='S'){
F = true;
}
}
}
}
}
}
cout << F << " " << f << endl;
}
signed main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int t;
//t = 1;
cin >> t;
while(t--)
solve();
}
B
#include<bits/stdc++.h>
#define endl '\n'
#define deb(x) cout << #x << " = " << x << '\n';
#define INF 0x3f3f3f3f
#define x first
#define y second
#define int long long
using namespace std;
typedef pair<int,int> pii;
int dc[3] = {-1, 0, 1};
void solve()
{
int n; cin >> n;
int l = 2, r = 2;
vector<pii>lp, rp;
map<pii,bool>st;
for(int i = 0; i < n; i ++){
int r, c; cin >> r >> c;
st[{c,r}] = true;
if(c <= 0){
lp.push_back({c, r});
}else if(c > 0){
rp.push_back({c, r});
}
}
if(lp.size()){
for(int i = 0; i < lp.size(); i ++){
if(lp[i].first == 0 and lp[i].second == 2){
if(!st[{-1, 1}]){
l = min(1ll, l);
}else{
l = 0;
}
continue;
}
for(int j = 0; j < 3; j ++){
int nc = lp[i].x + dc[j];
int nr = 3 - lp[i].y;
if(st[{nc, nr}]){
l = 0;
}else{
l = min(l, 1ll);
}
}
}
}
if((st[{-1, 1}] and l == 1)){
st[{0, 2}] = true;
}
if(l == 2){
st[{0, 2}] = true;
}
if(rp.size()){
for(int i = 0; i < rp.size(); i ++){
for(int j = 0; j < 3; j ++){
int nc = rp[i].x + dc[j];
int nr = 3 - rp[i].y;
if(st[{nc, nr}]){
r = 0;
}else{
r = min(r, 1ll);
}
}
}
}else{
if(st[{0, 2}]){
r = 1;
}
}
int ans = l + r;
cout << ans << endl;
}
signed main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int t;
//t = 1;
cin >> t;
while(t--)
solve();
}
C
#include<bits/stdc++.h>
#define endl '\n'
#define int long long
#define deb(x) cout << #x << " = " << x << '\n';
#define INF 0x3f3f3f3f3f3f3f3f
using namespace std;
void solve()
{
int n, q, tc; cin >> n >> q >> tc;
vector<int>t(n + 1);
vector<int>s(n + 1);
vector<int>ss(n + 1);
for(int i = 1; i <= n; i ++){
cin >> t[i];
}
sort(t.begin() + 1, t.end());
for(int i = 1; i <= n; i ++){
s[i] = s[i - 1] + t[i];
}
for(int i = 1; i <= n; i ++){
ss[i] = ss[i - 1] + s[i];
}
while(q--){
int M; cin >> M;
int l = 1, r = n;
while(l < r){
int mid = l + r >> 1;
int cnt = n - mid + 1;
if(cnt * tc <= M){
r = mid;
}else{
l = mid + 1;
}
}
if(l == n){
if(tc > M){
cout << s[n] + tc << endl;
continue;
}
}
cout << s[l - 1] + tc << endl;
}
}
signed main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int t;
t = 1;
//cin >> t;
while(t--)
solve();
}
D
#include<bits/stdc++.h>
#define endl '\n'
#define deb(x) cout << #x << " = " << x << '\n';
#define INF 0x3f3f3f3f
#define int long long
using namespace std;
void solve()
{
int n, m; cin >> n >> m;
vector<int>a(n);
map<int,int>cnt;
set<int>ans;
ans.insert(0);
for(int i = 0; i < n; i ++){
cin >> a[i];
cnt[a[i]] += 1;
}
if(n >= 30){
//一定要减少绝对值不等于1的数字个数。
for(auto [x, y]: cnt){
if(n - cnt[x] - cnt[x - 2] > 30)
continue;
int mul = 1;
bool flag = true;
for(int i = 0; i < n; i ++){
mul = mul * (a[i] - (x - 1));
if(abs(mul) > 1e9){
flag = false;
break;
}
}
if(flag)
ans.insert(mul);
mul = 1, flag = true;
for(int i = 0; i < n; i ++){
mul = mul * (a[i] - (x + 1));
if(abs(mul) > 1e9){
flag = false;
break;
}
}
if(flag)
ans.insert(mul);
}
}else{
//如果n <= 30
sort(a.begin(), a.end());
int tmp = a[0];
for(int i = 0; i < n; i ++){
a[i] -= tmp;
}
for(int i = -1e6; i <= 1e6; i ++){
int mul = 1;
bool flag = true;
for(int j = 0; j < n; j ++){
mul = mul * (a[j] + i);
if(abs(mul) > 1e9){
flag = false;
break;
}
}
if(flag)
ans.insert(mul);
}
reverse(a.begin(), a.end());
tmp = a[0];
for(int i = 0; i < n; i ++){
a[i] -= tmp;
}
for(int i = -1e6; i <= 1e6; i ++){
int mul = 1;
bool flag = true;
for(int j = 0; j < n; j ++){
mul = mul * (a[j] + i);
if(abs(mul) > 1e9){
flag = false;
break;
}
}
if(flag)
ans.insert(mul);
}
}
while(m--){
int x; cin >> x;
if(ans.count(x)){
cout << "Yes" << endl;
}else{
cout << "No" << endl;
}
}
}
signed main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int t;
t = 1;
//cin >> t;
while(t--)
solve();
}
E
#include<bits/stdc++.h>
#define endl '\n'
#define deb(x) cout << #x << " = " << x << '\n';
#define INF 0x3f3f3f3f
using namespace std;
typedef pair<int,int> pii;
void solve()
{
int n, m; cin >> n >> m;
vector<int>a(n);
vector<pii>b(m);
for(int i = 0; i < n; i ++){
cin >> a[i];
}
for(int i = 0; i < m; i ++){
int u, v;
cin >> u >> v;
u --, v --;
b[i] = {u, v};
}
int ans = 11;
function<void(int)> dfs = [&](int u)->void{
if(u >= m){
int sc = a[0];
int top = 1;
for(int i = 1; i < n; i ++){
if(a[i] > sc){
top ++;
}
}
ans = min(ans, top);
return;
}
int x = b[u].first, y = b[u].second;
a[x] += 3;
dfs(u + 1);
//回溯
a[x] -= 3;
a[y] += 3;
dfs(u + 1);
a[y] -= 3;
a[x] += 1, a[y] += 1;
dfs(u + 1);
a[x] -= 1, a[y] -= 1;
};
dfs(0);
cout << ans << endl;
}
signed main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int t;
//t = 1;
cin >> t;
while(t--)
solve();
}
F
#include<bits/stdc++.h>
#define endl '\n'
#define int long long
#define deb(x) cout << #x << " = " << x << '\n';
#define INF 0x3f3f3f3f
using namespace std;
const int N = 1e5 + 10;
const int mod = 1e9 + 7;
int fact[N], infact[N];
int qmi(int a, int b, int p){
int res = 1;
while(b){
if(b & 1)
res = res * a % p;
a = a * a % p;
b >>= 1;
}
return res;
}
void init(){
fact[0] = infact[0] = 1;
for(int i = 1; i < N; i ++){
fact[i] = fact[i - 1] * i % mod;
infact[i] = infact[i - 1] * qmi(i, mod - 2, mod) % mod;
}
}
void solve()
{
int n, m; cin >> n >> m;
int res = 0;
for(int i = 0; i <= m; i ++){
if((m - i) % 2){
res = ((res - (qmi(i, n, mod) * infact[i] % mod * infact[m - i] % mod)) % mod + mod) % mod;
}else{
res = (res + (qmi(i, n, mod) * infact[i] % mod * infact[m - i] % mod)) % mod;
}
}
cout << res << endl;
}
signed main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int t;
t = 1;
// cin >> t;
init();
while(t--)
solve();
}
G
#include<bits/stdc++.h>
#define endl '\n'
#define deb(x) cout << #x << " = " << x << '\n';
#define x first
#define y second
#define int long long
#define INF 0x3f3f3f3f
using namespace std;
typedef pair<int,int> pii;
void solve()
{
int n, m; cin >> n >> m;
vector<pii>a(n + 1);
for(int i = 1; i <= n; i ++){
cin >> a[i].x >> a[i].y;
}
sort(a.begin(), a.end());
vector<int>s(n + 1);
for(int i = 1; i <= n; i ++){
s[i] = s[i - 1] + a[i].y;
}
int ans = m;
for(int i = n; i >= 1; i --){
int dis = a[i].x - s[i];
if(dis > m){
continue;
}
ans = max(ans, m + s[i]);
}
cout << ans << endl;
}
signed main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int t;
//t = 1;
cin >> t;
while(t--)
solve();
}
H
#include<bits/stdc++.h>
#define endl '\n'
#define int long long
#define deb(x) cout << #x << " = " << x << '\n';
#define INF 0x3f3f3f3f
using namespace std;
void solve()
{
int n, m; cin >> n >> m;
vector<int>v(n), w(n);
for(int i = 0; i < n; i ++){
cin >> v[i] >> w[i];
}
int ans = 0, pre = 0;
for(int i = 31; i >= 0; i --){
int x = pre;
if((m >> i) & 1){
x += (1 << i) - 1;
pre += (1 << i);
}
int sum = 0;
for(int j = 0; j < n; j ++){
if((x | w[j]) == x){
sum += v[j];
}
}
ans = max(ans, sum);
}
int sum = 0;
for(int j = 0; j < n; j ++){
if((m | w[j]) == m){
sum += v[j];
}
}
ans = max(ans, sum);
cout << ans << endl;
}
signed main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int t;
//t = 1;
cin >> t;
while(t--)
solve();
}
I
#include<bits/stdc++.h>
#define endl '\n'
#define deb(x) cout << #x << " = " << x << '\n';
#define INF 0x3f3f3f3f
using namespace std;
uniform_int_distribution<int> u1(-99,99);//生成圆心
uniform_int_distribution<int> u2(1,100);//生成半径
default_random_engine e;
void test()
{
int n = 1e5;
double r1 = 0;
for(int i = 1; i <= n; i ++){
int x = u1(e), y = u1(e);
while(1){
int r = u2(e);
if(x + r > 100 || x - r < -100 || y + r > 100 || y - r < -100){
continue;
}else{
r1 += (r);
break;
}
}
}
double r2 = 0;
for(int i = 1; i <= n; i ++){
while(1){
int x = u1(e), y = u1(e);
int r = u2(e);
if(x + r > 100 || x - r < -100 || y + r > 100 || y - r < -100){
continue;
}else{
r2 += (r);
break;
}
}
}
r1 = r1 / n;
r2 = r2 / n;
cout << r1 << " " << r2 << endl;
}
void solve(){
int n; cin >> n;
double sum = 0;
for(int i = 0; i < n; i ++){
int x, y, r; cin >> x >> y >> r;
sum += r;
}
sum /= n;
if((int)sum == 17){
cout << "bit-noob" << endl;
}else{
cout << "buaa-noob" << endl;
}
}
signed main()
{
e.seed(time(NULL));
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int t;
//t = 1;
cin >> t;
while(t--)
// solve();
test();
}
J
#include<bits/stdc++.h>
#define endl '\n'
#define deb(x) cout << #x << " = " << x << '\n';
#define INF 0x3f3f3f3f
using namespace std;
void solve()
{
int n, x, y; cin >> n >> x >> y;
vector<int>a(n);
for(int i = 0; i < n; i ++){
cin >> a[i];
}
auto check = [&](int dis)->bool{
// cout << dis << endl;
set<int>st;
st.insert(x), st.insert(y);
if(abs(x - y) > dis){
return false;
}
for(int i = 0; i < a.size(); i ++){
while(st.size() and abs(*st.begin() - a[i]) > dis){
st.erase(st.begin());
}
while(st.size() and abs(*st.rbegin() - a[i]) > dis){
st.erase(*st.rbegin());
}
if(!st.size()){
return false;
}
st.insert(a[i]);
}
return true;
};
int l = 0, r = 1e9;
while(l < r){
int mid = l + r >> 1;
if(check(mid)){
r = mid;
}else{
l = mid + 1;
}
}
cout << l << endl;
}
signed main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int t;
t = 1;
// cin >> t;
while(t--)
solve();
}
K
#include<bits/stdc++.h>
#define endl '\n'
#define deb(x) cout << #x << " = " << x << '\n';
#define INF 0x3f3f3f3f
#define int long long
using namespace std;
const int N = 1e5 + 10;
const int mod = 998244353;
int nex[N];
string choice[N];
int p[N], in[N];
bool st[N];
char t[N];
set<int> root;
int nums;
int find(int x){
if(x != p[x])
p[x] = find(p[x]);
return p[x];
}
void init(int x){
for(int i = 1; i <= x; i ++){
p[i] = i;
root.insert(i);
}
}
void merge(int x, int y){
int px = find(x);
int py = find(y);
if(px != py){
if(in[px])
{
p[px] = py;
root.erase(px);
}
else
{
p[py] = px;
root.erase(py);
}
}
}
void dfs(int u, char answer){
if(st[nex[u]]){
if(answer == t[nex[u]]){
nums ++;
}
return;
}
char nex_answer = choice[nex[u]][answer - 'A'];
t[nex[u]] = answer;
st[nex[u]] = true;
dfs(nex[u], nex_answer);
st[nex[u]] = false;
}
void solve()
{
int n; cin >> n;
init(n);
for(int i = 1; i <= n; i ++){
int x; string s;
cin >> x >> s;
choice[i] = s;
nex[i] = x;
in[x] ++;
merge(x, i);
}
int ans = 1;
for(auto x: root){
for(int i = 0; i < 5; i ++){
t[x] = ('A' + i);
st[x] = true;
dfs(x, choice[x][i]);
}
ans = nums * ans % mod;
nums = 0;
}
cout << ans << endl;
}
signed main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int t;
t = 1;
// cin >> t;
while(t--)
solve();
}
L
#include<bits/stdc++.h>
#define endl '\n'
#define deb(x) cout << #x << " = " << x << '\n';
#define INF 0x3f3f3f3f
using namespace std;
void solve()
{
int c, d, h, w;
cin >> c >> d >> h >> w;
cout << 3 * w * c << endl;
}
signed main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int t;
//t = 1;
cin >> t;
while(t--)
solve();
}
M
#include<bits/stdc++.h>
#define endl '\n'
#define deb(x) cout << #x << " = " << x << '\n';
#define INF 0x3f3f3f3f
#define int long long
using namespace std;
void solve()
{
int n; cin >> n;
if(n % 6)
cout << (n / 6) * 2 << endl;
else
cout << (n / 6) << endl;
}
signed main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int t;
//t = 1;
cin >> t;
while(t--)
solve();
}