daily 2
2023/9/7
daily codeforces
加载过慢请开启缓存,浏览器默认开启
CF 1696E
ll quick_pow(ll x,ll exp,int p)
{
ll ans=1;
while(exp)
{
if(exp&1)ans=ans*x%p;
exp>>=1;
x=x*x%p;
}
return ans;
}
ll inv[MAXN],fac[MAXN];
void init(int n,int p)
{
memset(inv,0,sizeof(inv));
memset(fac,0,sizeof(fac));
inv[0]=fac[0]=1;
for(int i=1;i<=n;++i)
{
fac[i]=fac[i-1]*i%p;
}
inv[n]=quick_pow(fac[n],p-2,p)%p;
for(int i=n;i>=1;--i)inv[i-1]=inv[i]*i%p;
}
ll C(ll n,ll m,ll p)
{
if(m>n||m<0)return 0;
return fac[n]*inv[n-m]%p*inv[m]%p;
}
void solve() {
int n;
cin >> n;
++n;
vector<ll> a(n + 1);
for (int i = 1 ; i <= n; ++i) {
cin >> a[i];
}
ll ans = 0;
for (int i = 1; i <= n; ++i) {
ans = (ans + C(a[i] + i - 1, a[i] - 1, MOD)) %MOD;
}
cout << ans << '\n';
return ;
}
CF 1699C
void solve() {
int n;
cin >> n;
vector<int> a(n), pos(n);
for (int i = 0; i <= n - 1; ++i) {
cin >> a[i];
pos[a[i]] = i;
}
int l = pos[0], r = pos[0];
ll ans = 1;
for (int i = 1; i <= n - 1; ++i) {
if (pos[i] < l) {
l = pos[i];
} else if (pos[i] > r) {
r = pos[i];
} else {
ans = ans * (r - l + 1 - i) % MOD;
}
}
cout << ans << '\n';
return ;
}
CF 1717D
ll quick_pow(ll x, ll exp, int p) {
ll ans = 1;
while (exp) {
if (exp & 1) ans = ans * x % p;
exp >>= 1;
x = x * x % p;
}
return ans;
}
ll inv[MAXN], fac[MAXN];
void init(int n, int p) {
memset(inv, 0, sizeof(inv));
memset(fac, 0, sizeof(fac));
inv[0] = fac[0] = 1;
for (int i = 1; i <= n; ++i) {
fac[i] = fac[i - 1] * i % p;
}
inv[n] = quick_pow(fac[n], p - 2, p) % p;
for (int i = n; i >= 1; --i) inv[i - 1] = inv[i] * i % p;
}
ll C(ll n, ll m, ll p) {
if (m > n || m < 0) return 0;
return fac[n] * inv[n - m] % p * inv[m] % p;
}
void solve() {
int n, k;
cin >> n >> k;
ll ans = 1;
for (int i = 1; i <= min(n, k); ++i) {
ans = (ans + C(n, i, MOD) % MOD) % MOD;
}
cout << ans << '\n';
}
CF 50A
#include<iostream>
using namespace std;
int main(){
int m,n,t=0,Sn=0;
cin>>m>>n;
if(m%2==0){
t=1;
}
if(n%2==0){
t=2;
}
if(t==1){
Sn=n*(m/2);
}
else if(t==2) {
Sn=m*(n/2);
}
else {
Sn=m*((n-1)/2)+(m-1)/2;
}
cout<<Sn;
}
CF 1667B
struct fenwick {
ll PartialSum[MAXN];
fenwick() {
for (int i = 0; i < MAXN; i++) PartialSum[i] = 0;
}
inline void add(ll index, ll increase) {
while (index < MAXN) {
PartialSum[index] = max(increase, PartialSum[index]);
index += index & -index;
}
}
inline ll get(int index) {
ll sum = -INF;
while (index) {
sum = max(sum, PartialSum[index]);
index -= index & -index;
}
return sum;
}
};
ll a[MAXN], ord[MAXN], dp[MAXN], sum[MAXN];
void solve() {
int T;
cin >> T;
int n;
fenwick tr;
while (T--) {
cin >> n;
vector<pii> pre;
for (int i = 1; i <= n; ++i) {
tr.PartialSum[i] = -INF;
}
for (int i = 1; i <= n; ++i) {
cin >> a[i];
sum[i] = sum[i - 1] + a[i];
pre.push_back({sum[i], -i});
}
sort(pre.begin(), pre.end());
for (int i = 1; i <= n; ++i) {
ord[-pre[i - 1].second] = i;
}
for (int i = 1; i <= n; ++i) {
dp[i] = dp[i - 1] + (a[i] > 0 ? 1 : (a[i] < 0 ? -1 : 0));
auto pp = tr.get(ord[i]);
dp[i] = max(dp[i], tr.get(ord[i]) + i);
if (sum[i] > 0) dp[i] = i;
tr.add(ord[i], dp[i] - i);
}
cout << dp[n] << '\n';
dp[0] = sum[0] = 0;
}
return ;
}
CF 900C
struct fenwick {
ll PartialSum[MAXN];
fenwick() {
for (int i = 0; i < MAXN; i++) PartialSum[i] = 0;
}
inline void add(ll index, ll increase) {
while (index < MAXN) {
PartialSum[index] += increase;
index += index & -index;
}
}
inline ll get(int index) {
ll sum = 0;
while (index) {
sum += PartialSum[index];
index -= index & -index;
}
return sum;
}
};
void solve() {
int n;
cin >> n;
vector<int> p(n + 1);
fenwick tr;
for (int i = 1; i <= n; ++i) {
cin >> p[i];
}
ll ans = -1, ans_i = 1;
int cur_max = -1;
vector<int> cnt(n + 1);
for (int i = 1; i <= n; ++i) {
cur_max = max(cur_max, p[i]);
int cur_num = tr.get(p[i]);
if (cur_num == i - 2) {
cnt[cur_max]++;
} else if (cur_num == i - 1){
cnt[cur_max]--;
}
tr.add(p[i], 1);
}
for (int i = 1; i <= n; ++i) {
if (cnt[i] > ans) {
ans = cnt[i];
ans_i = i;
}
}
cout << ans_i << '\n';
return;
}