ayush_295
A
#include<bits/stdc++.h>
using namespace std;
#define int long long int
const int log(int x , int y){
int count = 0;
while(x!=0){
x=x/y;
count++;
}
return count;
}
const int ceil(int x , int y){
if(x%y == 0) return x/y;
else return (x/y)+1;
}
bool isPrime(int n){
if (n <= 1) return false;
for (int i = 2; i * i <= n; i++) {
if (n % i == 0) return false;
}
return true;
}
int lcm(int x , int y){
int alpha = (x*y)/(__gcd(x,y));
return alpha;
}
// int t[1000007];
int myPow(int x, int n) {
int ans = 1.0;
for (int i = 0; i < n; i++) {
ans = ans * x;
}
return ans;
}
int stringtonum(string s) {
int num = 0;
for (char c : s) {
num = num * 10 + (c - '0');
}
return num;
}
bool contains_seven(int n) {
while (n > 0) {
if (n % 10 == 7) return true;
n /= 10;
}
return false;
}
bool check_sqrt(int n){
int x = sqrt(n);
if(x*x == n) return true;
else return false;
}
void solve(int tests){
int n;
cin>>n;
cout<<n<<endl;
}
int32_t main(){
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
int tests;
cin>>tests;
for(int i=0;i<tests;i++){
solve(i);
}
}
B
#include<bits/stdc++.h>
using namespace std;
#define int long long int
const int log(int x , int y){
int count = 0;
while(x!=0){
x=x/y;
count++;
}
return count;
}
const int ceil(int x , int y){
if(x%y == 0) return x/y;
else return (x/y)+1;
}
bool isPrime(int n){
if (n <= 1) return false;
for (int i = 2; i * i <= n; i++) {
if (n % i == 0) return false;
}
return true;
}
int lcm(int x , int y){
int alpha = (x*y)/(__gcd(x,y));
return alpha;
}
// int t[1000007];
int myPow(int x, int n) {
int ans = 1.0;
for (int i = 0; i < n; i++) {
ans = ans * x;
}
return ans;
}
int stringtonum(string s) {
int num = 0;
for (char c : s) {
num = num * 10 + (c - '0');
}
return num;
}
bool contains_seven(int n) {
while (n > 0) {
if (n % 10 == 7) return true;
n /= 10;
}
return false;
}
bool check_sqrt(int n){
int x = sqrt(n);
if(x*x == n) return true;
else return false;
}
void solve(int tests){
int n,x;
cin>>n>>x;
int c[n] , a[n];
for(int i=0;i<n;i++){
cin>>c[i];
}
for(int i=0;i<n;i++){
cin>>a[i];
}
int max_op = n;
vector<vector<int>> dp(n+1 , vector<int>(max_op+1 , -1 ));
dp[0][0] = x;
for(int i=0;i<n;i++){
for(int op = 0; op<= max_op ; op ++){
if(dp[i][op] <0 ) continue;
if(dp[i][op] >= c[i]){
dp[i+1][op] = max(dp[i+1][op] , dp[i][op] - c[i] + a[i]);
}
if(op+1 <= max_op){
dp[i+1][op+1] = max(dp[i+1][op+1] , dp[i][op] + a[i]);
}
}
}
int ans = -1;
for(int i=0;i<=max_op;i++){
if(dp[n][i] >= 0){
ans = i;
break;
}
}
cout<<ans<<endl;
}
int32_t main(){
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
int tests;
cin>>tests;
for(int i=0;i<tests;i++){
solve(i);
}
}
C
#include <bits/stdc++.h>
using namespace std;
using int64 = long long;
vector<int> sieve_primes(int MAXP) {
vector<bool> is_composite(MAXP+1,false);
vector<int> primes;
for (int i = 2; i <= MAXP; ++i) {
if (!is_composite[i]) {
primes.push_back(i);
if ((int64)i * i <= MAXP) {
for (int j = i*i; j <= MAXP; j += i)
is_composite[j] = true;
}
}
}
return primes;
}
int main(){
ios::sync_with_stdio(false);
cin.tie(nullptr);
int t;
cin >> t;
vector<int> ns(t);
int max_n = 0;
for(int i = 0; i < t; i++){
cin >> ns[i];
max_n = max(max_n, ns[i]);
}
int limit = floor(sqrt(max_n)) + 1;
auto primes = sieve_primes(limit);
for (int n : ns) {
int64 nn = n;
int64 sigma = 1;
int64 tau = 1;
for (int p : primes) {
if ((int64)p * p > nn) break;
if (nn % p == 0) {
int e = 0;
int64 p_pow = 1;
while (nn % p == 0) {
nn /= p;
e++;
p_pow *= p;
}
int64 sum_p = (p_pow * p - 1) / (p - 1);
sigma *= sum_p;
tau *= (e + 1);
}
}
if (nn > 1) {
sigma *= (1 + nn);
tau *= 2;
}
cout << (sigma - tau) << "\n";
}
return 0;
}
D
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int MOD = 998244353;
inline int add(int a, int b) {
a += b;
if (a >= MOD) a -= MOD;
return a;
}
inline int mul(ll a, ll b) {
return int((a * b) % MOD);
}
int main(){
ios::sync_with_stdio(false);
cin.tie(nullptr);
int T;
cin >> T;
vector<int> ns(T);
int mx = 0;
for(int i = 0; i < T; i++){
cin >> ns[i];
mx = max(mx, ns[i]);
}
vector<int> fact(mx+1), der(mx+1);
fact[0] = 1;
for(int i = 1; i <= mx; i++){
fact[i] = mul(fact[i-1], i);
}
der[0] = 1;
if(mx >= 1) der[1] = 0;
for(int i = 2; i <= mx; i++){
der[i] = mul(i - 1, add(der[i-1], der[i-2]));
}
for(int n : ns){
if(n % 2 == 0){
cout << 1 << "\n";
} else {
cout << mul(fact[n], der[n]) << "\n";
}
}
return 0;
}
E
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int MOD = 1000000007;
inline int add(int a, int b) {
a += b;
if (a >= MOD) a -= MOD;
return a;
}
inline int sub(int a, int b) {
a -= b;
if (a < 0) a += MOD;
return a;
}
inline int mul(ll a, ll b) {
return int((a * b) % MOD);
}
int modInv(int x) {
int res = 1, power = MOD - 2;
ll base = x;
while (power) {
if (power & 1) res = int((res * base) % MOD);
base = (base * base) % MOD;
power >>= 1;
}
return res;
}
int main(){
ios::sync_with_stdio(false);
cin.tie(nullptr);
int T;
cin >> T;
vector<int> ns(T);
vector<vector<int>> allA(T);
int max_n = 0;
for(int tc = 0; tc < T; tc++){
int n;
cin >> n;
ns[tc] = n;
max_n = max(max_n, n);
allA[tc].resize(n);
for(int i = 0; i < n; i++){
cin >> allA[tc][i];
}
}
const int P = 8;
const int primes[P] = {2,3,5,7,11,13,17,19};
static int e_exp[21][P];
for(int v = 1; v <= 20; v++){
int x = v;
for(int j = 0; j < P; j++){
int p = primes[j];
e_exp[v][j] = 0;
while(x % p == 0) {
e_exp[v][j]++;
x /= p;
}
}
}
int Mmask = 1<<P;
static int lsbIdx[1<<P], popc[1<<P];
for(int m = 1; m < Mmask; m++){
lsbIdx[m] = __builtin_ctz(m);
popc[m] = popc[m>>1] + (m&1);
}
popc[0] = 0;
int maxInv = 4 * max_n + 5;
vector<int> inv(maxInv);
inv[1] = 1;
for(int i = 2; i < maxInv; i++){
inv[i] = int((ll)(MOD - MOD/i) * inv[MOD % i] % MOD);
}
for(int tc = 0; tc < T; tc++){
int n = ns[tc];
auto &A = allA[tc];
int S[P] = {0};
vector<int> sum_U(Mmask, 0);
sum_U[0] = 1;
int answer = 0;
vector<int> Q(Mmask), Aprod(Mmask);
for(int idx = 0; idx < n; idx++){
int val = A[idx];
for(int j = 0; j < P; j++){
S[j] += e_exp[val][j];
}
int CP1[P];
for(int j = 0; j < P; j++){
CP1[j] = S[j] + 1;
}
int B_fullset = 1;
for(int j = 0; j < P; j++){
B_fullset = mul(B_fullset, CP1[j]);
}
Q[0] = 1;
Aprod[0] = 1;
for(int m = 1; m < Mmask; m++){
int b = lsbIdx[m];
int pm = m ^ (1<<b);
Q[m] = mul(Q[pm], inv[ CP1[b] ]);
Aprod[m] = mul(Aprod[pm], S[b]);
}
ll curSum = 0;
for(int m = 0; m < Mmask; m++){
int sign = (popc[m] & 1) ? MOD - 1 : 1;
int PU = mul(B_fullset, Q[m]);
ll t = (ll)sum_U[m] * PU % MOD;
curSum += sign * t;
if(curSum >= (1LL<<62)) curSum %= MOD;
}
curSum %= MOD;
answer = int((answer + curSum) % MOD);
for(int m = 0; m < Mmask; m++){
sum_U[m] = add(sum_U[m], Aprod[m]);
}
}
cout << answer << "\n";
}
return 0;
}
arnabmanna
A
import java.io.*;
public class Main {
public static void main(String[] args) throws IOException {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
int t = Integer.parseInt(br.readLine().trim());
StringBuilder sb = new StringBuilder();
while (t-- > 0) {
long n = Long.parseLong(br.readLine().trim());
sb.append(n).append('\n');
}
System.out.print(sb);
}
}
B
import java.io.*;
import java.util.*;
public class Main {
public static void main(String[] args) throws IOException {
BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
StringTokenizer tok = new StringTokenizer(in.readLine());
int t = Integer.parseInt(tok.nextToken());
final long NEG_INF = Long.MIN_VALUE / 4;
while (t-- > 0) {
tok = new StringTokenizer(in.readLine());
int n = Integer.parseInt(tok.nextToken());
long x = Long.parseLong(tok.nextToken());
int[] c = new int[n];
int[] a = new int[n];
tok = new StringTokenizer(in.readLine());
for (int i = 0; i < n; i++) {
c[i] = Integer.parseInt(tok.nextToken());
}
tok = new StringTokenizer(in.readLine());
for (int i = 0; i < n; i++) {
a[i] = Integer.parseInt(tok.nextToken());
}
long[] dp = new long[n + 1];
Arrays.fill(dp, NEG_INF);
dp[0] = x;
for (int i = 0; i < n; i++) {
long[] dp2 = new long[n + 1];
Arrays.fill(dp2, NEG_INF);
for (int j = 0; j <= i; j++) {
if (dp[j] < 0) continue;
if (dp[j] >= c[i]) {
dp2[j] = Math.max(dp2[j], dp[j] - c[i] + a[i]);
}
dp2[j + 1] = Math.max(dp2[j + 1], dp[j] + a[i]);
}
dp = dp2;
}
int answer = 0;
while (answer <= n && dp[answer] < 0) {
answer++;
}
System.out.println(answer);
}
}
}
C
import java.io.*;
import java.util.*;
public class Main {
public static void main(String[] args) throws Exception {
BufferedReader r = new BufferedReader(new InputStreamReader(System.in));
int t = Integer.parseInt(r.readLine());
List<Integer> p = sieve(31623);
StringBuilder o = new StringBuilder();
while (t-- > 0) {
long n = Long.parseLong(r.readLine());
long x = n, s = 1, c = 1;
for (int d : p) {
if ((long) d * d > x) break;
if (x % d == 0) {
int e = 0;
while (x % d == 0) {
x /= d;
e++;
}
long pw = 1;
for (int i = 0; i <= e; i++) pw *= d;
long sum = (pw - 1) / (d - 1);
s *= sum;
c *= (e + 1);
}
}
if (x > 1) {
s *= (1 + x);
c *= 2;
}
o.append(s - c).append('\n');
}
System.out.print(o);
}
private static List<Integer> sieve(int n) {
boolean[] a = new boolean[n + 1];
List<Integer> l = new ArrayList<>();
for (int i = 2; i <= n; i++) {
if (!a[i]) {
l.add(i);
if ((long) i * i <= n) {
for (int j = i * i; j <= n; j += i) a[j] = true;
}
}
}
return l;
}
}
D
import java.io.*;
public class Main {
static final int MOD = 998244353;
public static void main(String[] args) throws IOException {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
int t = Integer.parseInt(br.readLine());
int[] ns = new int[t];
int maxOdd = 1;
for (int i = 0; i < t; i++) {
ns[i] = Integer.parseInt(br.readLine());
if ((ns[i] & 1) == 1) {
maxOdd = Math.max(maxOdd, ns[i]);
}
}
long[] fact = new long[maxOdd + 1];
fact[0] = 1;
for (int i = 1; i <= maxOdd; i++) {
fact[i] = fact[i - 1] * i % MOD;
}
long[] der = new long[maxOdd + 1];
der[0] = 1;
if (maxOdd >= 1) der[1] = 0;
for (int i = 2; i <= maxOdd; i++) {
der[i] = ( (i - 1L) * (der[i - 1] + der[i - 2]) ) % MOD;
}
StringBuilder sb = new StringBuilder();
for (int n : ns) {
if ((n & 1) == 0) {
sb.append(1);
} else {
sb.append( fact[n] * der[n] % MOD );
}
sb.append('\n');
}
System.out.print(sb);
}
}
E
import java.io.*;
import java.util.*;
public class Main {
static final long M = 1_000_000_007L;
static final int[] P = {2, 3, 5, 7, 11, 13, 17, 19};
@SuppressWarnings("unchecked")
static List<int[]>[] L = new ArrayList[21];
public static void main(String[] args) throws Exception {
f();
F s = new F(System.in);
StringBuilder o = new StringBuilder();
int t = s.ni();
while (t-- > 0) {
int n = s.ni();
int[] a = new int[n];
for (int i = 0; i < n; i++) a[i] = s.ni();
o.append(sv(a)).append('\n');
}
System.out.print(o);
}
static long sv(int[] a) {
int n = a.length;
long[] p = new long[256];
long[] mp = new long[256];
p[0] = 1;
long ans = (long) n * (n + 1) / 2 % M;
for (int i = 0; i < n; i++) {
List<int[]> c = L[a[i]];
if (c.isEmpty()) continue;
long[] np = p.clone(), nm = mp.clone(), d = new long[256];
for (int[] pr : c) {
int msk = pr[0], w = pr[1];
for (int j = 0; j < 256; j++) {
if ((j & msk) != 0 || (j != 0 && p[j] == 0)) continue;
int nmj = j | msk;
long pp = (p[j] * w) % M;
np[nmj] = (np[nmj] + pp) % M;
long min = (j == 0) ? (long) (i + 1) * w % M : (mp[j] * w) % M;
nm[nmj] = (nm[nmj] + min) % M;
d[nmj] = (d[nmj] + min) % M;
}
}
long rw = n - i;
for (int j = 1; j < 256; j++) {
if (d[j] != 0) ans = (ans + d[j] * rw) % M;
}
p = np;
mp = nm;
}
return ans;
}
static void f() {
for (int v = 1; v <= 20; v++) {
int[] e = new int[8];
int x = v;
for (int i = 0; i < 8; i++) {
while (x % P[i] == 0) { e[i]++; x /= P[i]; }
}
int m = 0;
for (int i = 0; i < 8; i++) if (e[i] != 0) m |= 1 << i;
List<int[]> list = new ArrayList<>();
for (int s = m; s > 0; s = (s - 1) & m) {
int w = 1;
for (int i = 0; i < 8; i++) if ((s & (1 << i)) != 0) w *= e[i];
list.add(new int[]{s, w});
}
L[v] = list;
}
}
private static class F {
private final byte[] b = new byte[1 << 16];
private int l = 0, p = 0;
private final InputStream in;
F(InputStream in) { this.in = in; }
int ni() throws IOException {
int c, s = 1, x = 0;
while ((c = r()) <= ' ') ;
if (c == '-') { s = -1; c = r(); }
do { x = x * 10 + (c - '0'); } while ((c = r()) > ' ');
return x * s;
}
private int r() throws IOException {
if (p >= l) {
l = in.read(b);
p = 0;
if (l <= 0) return -1;
}
return b[p++];
}
}
}
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