QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#468727 | #1944. Circle of Friends | inksamurai | AC ✓ | 358ms | 213408kb | C++23 | 6.4kb | 2024-07-08 23:45:12 | 2024-07-08 23:45:12 |
Judging History
answer
#include <bits/stdc++.h>
// cut here
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
int ceil_pow2(int n) {
int x = 0;
while ((1U << x) < (unsigned int)(n)) x++;
return x;
}
int bsf(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
} // namespace internal
} // namespace atcoder
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
public:
segtree() : segtree(0) {}
segtree(int n) : segtree(std::vector<S>(n, e())) {}
segtree(const std::vector<S>& v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++) d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++) update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1) sml = op(sml, d[l++]);
if (r & 1) smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n) return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0) l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0) return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2)) r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
} // namespace atcoder
// cut here
#define int ll
using namespace std;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define rng(i,c,n) for(int i=c;i<n;i++)
#define fi first
#define se second
#define pb push_back
#define sz(a) (int) a.size()
#define all(a) a.begin(),a.end()
#define vec(...) vector<__VA_ARGS__>
#define _3zlqvu8 ios::sync_with_stdio(0),cin.tie(0)
typedef long long ll;
typedef vector<int> vi;
typedef pair<int,int> pii;
void print(){cout<<'\n';}
template<class h,class...t>
void print(const h&v,const t&...u){cout<<v<<' ',print(u...);}
// snuke's mod int
template <ll mod>
struct modint{
ll x;
modint(ll x=0):x((x%mod+mod)%mod){}
modint operator-()const{return modint(-x);}
modint& operator+=(const modint a){if((x+=a.x)>=mod) x-=mod; return *this;}
modint& operator-=(const modint a){if((x+=mod-a.x)>=mod) x-=mod; return *this;}
modint& operator*=(const modint a){(x*=a.x)%=mod; return *this;}
modint operator+(const modint a)const{modint res(*this); return res+=a;}
modint operator-(const modint a)const{modint res(*this); return res-=a;}
modint operator*(const modint a)const{modint res(*this); return res*=a;}
modint pow(ll n)const{
modint res=1,x(*this);
while(n){
if(n&1)res*=x;
x*=x;
n>>=1;
}
return res;
}
modint inv()const{return pow(mod-2);}
};
using mint=modint<998244353>;
using vm=vec(mint);
int op(int l,int r){
return l&r;
}
int e(){
return (1ll<<60)-1;
}
void slv(){
int n;
cin>>n;
vi a(n);
rep(i,n){
cin>>a[i];
}
vi tmp={0};
int x=a[0];
rep(i,n){
x&=a[i];
tmp.pb(x);
}
sort(all(tmp)); tmp.erase(unique(all(tmp)),tmp.end());
const int si=sz(tmp);
atcoder::segtree<int,op,e> seg(n);
rep(i,n){
seg.set(i,a[i]);
}
// dp(i, j) = {denote number of divisions such that last block & tmp[j] > 0}
vec(vm) dp(n,vm(si));
vec(vm) sf(n,vm(si));
auto range_sum=[&](int i,int l,int r)->mint{
return sf[l][i]-(r+1>=n?0:sf[r+1][i]);
};
per(i,n){
// axali subarray avige
// bolomde
{
int now=seg.prod(i,n);
rep(j,si){
if((tmp[j]&now)>0){
dp[i][j]+=1;
}
}
if(now){
dp[i][0]+=1;
}
}
if(i<n-1){
int l=i,r=n-2;
int opt=i;
while(l<=r){
int m=(l+r)/2;
if(seg.prod(i,m+1)>0){
opt=m,l=m+1;
}else{
r=m-1;
}
}
rep(k,si){
// if(i==n-2 and k==0) print(sf[i+1][0].x,range_sum(k,i+1,opt+1).x);
dp[i][k]+=range_sum(k,i+1,opt+1);
}
}
rep(k,si){
if(i+1<n) sf[i][k]+=sf[i+1][k];
sf[i][k]+=dp[i][k];
}
// {
// int now=a[i];
// rng(j,i,n-1){
// now&=a[j];
// if(!now) break;
// rep(k,si){
// dp[i][k]+=dp[j+1][k];
// }
// }
// }
// print(dp[i][0].x);
}
mint ans=dp[0][0];
int now=a[0];
rep(i,n-1){
now&=a[i];
if(!now) break;
int id=lower_bound(all(tmp),now)-tmp.begin();
// print(i,id,dp[i+1][id].x);
ans+=dp[i+1][id];
}
now=a[0];
rep(i,n) now&=a[i];
if(now>0) ans-=(n-1);
cout<<ans.x<<"\n";
}
signed main(){
_3zlqvu8;
slv();
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3660kb
input:
1 1
output:
1
result:
ok single line: '1'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3616kb
input:
1 1152921504606846975
output:
1
result:
ok single line: '1'
Test #3:
score: 0
Accepted
time: 251ms
memory: 32128kb
input:
200000 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1...
output:
792053081
result:
ok single line: '792053081'
Test #4:
score: 0
Accepted
time: 286ms
memory: 32352kb
input:
200000 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606...
output:
792053081
result:
ok single line: '792053081'
Test #5:
score: 0
Accepted
time: 185ms
memory: 32324kb
input:
200000 18031990763159554 108095195748368386 36029346783428610 184085739649376272 577639437895209218 72057594042191904 4508276314083330 9078671805521920 144255925580990466 432490704060547904 72059793094738017 562967269607456 26424786302976 68719476738 333275855713337352 11370333479109156 290271086772...
output:
697849429
result:
ok single line: '697849429'
Test #6:
score: 0
Accepted
time: 178ms
memory: 38644kb
input:
200000 38878877261704467 606583538776039621 325557318447172624 513696235393139082 288309595180245073 22000404187620950 28465258695911754 432534927738538528 217932069505099992 8444275091048961 378456596858036610 909745820721741897 10707049231951490 869769773255361289 1054197601224687632 2974146034978...
output:
472024961
result:
ok single line: '472024961'
Test #7:
score: 0
Accepted
time: 191ms
memory: 44776kb
input:
200000 231835759121035702 510237390901680560 1089228954142887951 546561500990948259 452812301317437416 674492659073810407 610376405449845423 336095507987037999 1104321677521773827 257064906190991194 551711390461204674 320506912224540602 57990152440076744 845010071877357771 403229887439671683 2693178...
output:
117345155
result:
ok single line: '117345155'
Test #8:
score: 0
Accepted
time: 207ms
memory: 57160kb
input:
200000 1041523633558056719 1133745259996491747 395753651864850428 1151926721450571413 1114422491360386046 1152921229520204786 1116662492370558395 1006273041715269578 86101463265049534 359143197109542363 242065648916576479 903956062749589338 1091893347132366767 670735077154993663 1142330444352434159 ...
output:
648136624
result:
ok single line: '648136624'
Test #9:
score: 0
Accepted
time: 246ms
memory: 94664kb
input:
200000 1148136361283288575 864128178497519103 504403123704430591 1080722898202656703 1150660907089100671 1148417885111055871 1133781167519004367 1152921229712162815 1152902245931548635 1152846703454314239 1152358485925492735 1134766329820016511 1080863910560530363 1071715973758713727 468354552857362...
output:
21378100
result:
ok single line: '21378100'
Test #10:
score: 0
Accepted
time: 302ms
memory: 182224kb
input:
200000 576460752303419383 1150669704793159679 1152921504606846847 1152921504598458367 1143914030474199039 1152921504606846975 1152921504606846967 1152921504590069759 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152640029630136319 11529215046068...
output:
557285638
result:
ok single line: '557285638'
Test #11:
score: 0
Accepted
time: 334ms
memory: 207352kb
input:
200000 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606...
output:
438039103
result:
ok single line: '438039103'
Test #12:
score: 0
Accepted
time: 347ms
memory: 213380kb
input:
200000 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606...
output:
440098984
result:
ok single line: '440098984'
Test #13:
score: 0
Accepted
time: 358ms
memory: 213408kb
input:
200000 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606846975 1152921504606...
output:
413438309
result:
ok single line: '413438309'