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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#707719 | #7765. Xor Master | forest114514 | 0 | 35ms | 10072kb | C++20 | 5.1kb | 2024-11-03 17:12:55 | 2024-11-03 17:12:55 |
Judging History
answer
//蒟蒻一枚 rp++
//即得易见平凡,仿照上例显然。留作习题答案略,读者自证不难
//反之亦然同理,推论自然成立,略去过程Q.E.D.,由上可知证毕
#include<bits/stdc++.h>
//#pragma GCC optimize("Ofast")
#define re register
#define il inline
#define gc() getchar()
#define rep(i,a,b) for(int i=(a);i<=(b);++i)
#define repp(i,a,b) for(int i=(a);i<(b);++i)
#define per(i,a,b) for(int i=(a);i>=(b);--i)
#define tep(i,x) for(int i=head[x];~i;i=ne[i])
#define ls(x) x<<1
#define rs(x) x<<1|1
#define eps (1e-9)
#define inf 0x3f3f3f3f
#define INF 1e16
#define pii pair<int,int>
#define mp(i,j) make_pair(i,j)
#define pb push_back
#define fi first
#define sc second
using namespace std;
typedef long long LL;
typedef unsigned long long ULL;
typedef long double LD;
typedef double db;
namespace IO{
// #define gc()(p1==p2&&(p2=(p1=buf)+fread(buf,1,1<<9,stdin),p1==p2)?EOF:*p1++)
// char buf[1<<9],*p1=buf,*p2=buf;
template<typename T> inline void read(T &x){
bool f=1;x=0;char ch=gc();
while(ch<'0'||ch>'9'){if(ch=='-')f=0;ch=gc();}
while(ch>='0'&&ch<='9')x=(x<<1)+(x<<3)+(ch&15),ch=gc();
x=f?x:-x;
}
template<typename T> inline void write(T x){
if(x<0) putchar('-'),x=-x;
if(x>9) write(x/10);
putchar(char('0'+x%10));
}
template <typename T,typename ...Args> inline
void read(T &x,Args &...args){read(x);read(args...);}
template<typename T> inline void write(T x,char c){write(x),putchar(c);}
}
using namespace IO;
typedef uint64_t u64;
bool _ST;
const int N=5e5+100;
int n,q;
u64 a[N],s[N];
struct LB{
u64 p[N];
bool check(u64 x){
per(i,63,0){
if(x&(1ull<<i)){
if(!p[i]) return true;
x^=p[i];
}
}
return false;
}
void insert(u64 x){
per(i,63,0){
if(x&(1ull<<i)){
if(!p[i]){
x=p[i];
per(j,63,0) if(p[j]&(1ull<<i)) p[j]^=p[i];
return;
}
x^=p[i];
}
}
}
u64 gmax(u64 x){
per(i,63,0) if((x&(1ull<<i))==0) x^=p[i];
return x;
}
u64 gmin(u64 x){
per(i,63,0) if(x&(1ull<<i)) x^=p[i];
return x;
}
}I;
u64 buk[N<<3],*it0=buk;
struct SGT{
u64 *sum,tag;
int len,sz;
}tr[N<<2];
void pushup(int x){
u64 ad=0;
rep(i,0,tr[x].sz){
u64 lv=(i<=tr[ls(x)].sz)?tr[ls(x)].sum[i]:0;
u64 rv=(i<=tr[rs(x)].sz)?tr[rs(x)].sum[i]:0;
u64 nxt=lv&rv;tr[x].sum[i]=lv^rv;
nxt|=tr[x].sum[i]&ad,tr[x].sum[i]^=ad;
ad=nxt;
}
}
void upd(int x,u64 v){
tr[x].tag^=v;
int len=tr[x].len;
rep(i,0,63) if(v&(1ull<<i)){
int val=0;
rep(j,0,tr[x].sz) val|=((tr[x].sum[j]>>i)&1ull)<<j,tr[x].sum[j]&=(tr[x].sum[j]^(1ull<<i));
val=len-val;
rep(j,0,tr[x].sz) tr[x].sum[j]|=(1ull*((val>>j)&1))<<i;
}
}
void pushdown(int x){
if(!tr[x].tag) return;
upd(ls(x),tr[x].tag);
upd(rs(x),tr[x].tag);
tr[x].tag=0;
}
void build(int x,int l,int r){
tr[x].len=r-l+1,tr[x].sz=__lg(r-l+1),tr[x].tag=0;
tr[x].sum=it0,it0=it0+tr[x].len+1;
if(l==r) return tr[x].sum[0]=s[l],void();
int mid=l+r>>1;
build(ls(x),l,mid),build(rs(x),mid+1,r);
pushup(x);
}
void rebuild(int x,int l,int r,u64 tmp){
if(l==r) return tr[x].sum[0]=max(tr[x].sum[0],tr[x].sum[0]^tmp),void();
pushdown(x);
int mid=l+r>>1;
rebuild(ls(x),l,mid,tmp),rebuild(rs(x),mid+1,r,tmp);
pushup(x);
}
void update(int x,int l,int r,int L,int R,u64 v){
if(L<=l&&r<=R) return upd(x,v),void();
pushdown(x);
int mid=l+r>>1;
if(mid>=L) update(ls(x),l,mid,L,R,v);
if(mid<R) update(rs(x),mid+1,r,L,R,v);
pushup(x);
}
u64 ans[25],SZ;
void query(int x,int l,int r,int L,int R){
if(L<=l&&r<=R){
u64 ad=0;
rep(i,0,SZ){
u64 v=(i<=tr[x].sz)?tr[x].sum[i]:0;
u64 nxt=v&ans[i];ans[i]^=v;
nxt|=ans[i]&ad,ans[i]^=ad;
ad=nxt;
}
return;
}
pushdown(x);
int mid=l+r>>1;
if(mid>=L) query(ls(x),l,mid,L,R);
if(mid<R) query(rs(x),mid+1,r,L,R);
}
struct BIT{
#define lowbit(x) (x&(-x))
u64 tr[N];
void upd(int u,u64 x){for(;u<=n;u+=lowbit(u)) tr[u]^=x;}
u64 qry(u64 u){u64 res=0;for(;u;u-=lowbit(u)) res^=tr[u];return res;}
}TR;
bool _ED;
signed main(){
fprintf(stderr,"%.20lf MB\n",(&_ST-&_ED)/1048576.0);
//ios::sync_with_stdio(false);
//cin.tie(0);cout.tie(0);
//freopen(".in","r",stdin);
//freopen(".out","w",stdout);
read(n,q);
rep(i,1,n) read(a[i]),s[i]=a[i]^s[i-1],TR.upd(i,a[i]);
build(1,1,n);
while(q--){
int op;read(op);
if(op==1){
int x;
u64 v;read(x,v);
TR.upd(x,v);
update(1,1,n,x,n,I.gmin(v));
}
if(op==2){
u64 x;read(x);
if(!I.check(x)) continue;
rebuild(1,1,n,I.gmin(x));
I.insert(x);
}
if(op==3){
int l,r;read(l,r),SZ=__lg(r-l+1);
memset(ans,0,sizeof ans);
u64 tmp=I.gmin(TR.qry(l-1));
u64 res=0;
query(1,1,n,l,r);
rep(i,0,63){
int val=0;
rep(j,0,SZ) val|=((ans[j]>>i)&1ull)<<j;
if(tmp&(1ull<<i)) res+=1ull*(r-l+1-val)*(1ull<<i);
else res+=1ull*val*(1ull<<i);
}
write(res,'\n');
}
}
fprintf(stderr,"%.4lf s\n",1.0*clock()/CLOCKS_PER_SEC);
return 0;
}
//谨记:
//十年OI一场空,不开longlong见祖宗
//数据千万条,清空第一条。多测不清空,爆零两行泪。清空不规范,TLE总相伴。
//快读要加类型名
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 0
Wrong Answer
Test #1:
score: 0
Wrong Answer
time: 35ms
memory: 10072kb
input:
2000 2000 1860495733 462603674 3739839441 759356520 47330263 550811730 2301200895 989240351 2499503801 2624225494 2123076812 1180966826 238739434 488666688 784742950 2583466952 4111371941 2335988605 2583741355 933716686 1644403538 1970423306 304500250 905101643 1814942168 1136358764 88729799 1577263...
output:
867006634793 3418049036989 1658469159497 794670034691 239792547603 1587489101990 592222190840 1343829229567 971235609706 571701308760 1219913933321 588622962923 2129364200509 1007100395808 3134493164996 3145027621038 2599298085956 1729302186341 837940435945 242569415869 2908005634977 1692554597386 1...
result:
wrong answer 24th lines differ - expected: '1870376108278', found: '1756666248396'
Subtask #2:
score: 0
Runtime Error
Test #5:
score: 0
Runtime Error
input:
500000 100000 12261386944926786495 7846697792998647383 16622924885320463714 170129022271213944 12625257523700625864 7684671687986103560 11532026873918423068 1131776055566669037 8263146651412710501 17872572061246021001 5017109039248728310 11088626167542318645 13810119722795416818 10928315716094262229...
output:
result:
Subtask #3:
score: 0
Skipped
Dependency #2:
0%
Subtask #4:
score: 0
Time Limit Exceeded
Test #15:
score: 0
Time Limit Exceeded
input:
100000 100000 860905160 3192911636 290327446 2020707113 959258245 454185039 421895589 1070265496 2218913641 1684685660 1206723673 2606734467 4247254571 3341954386 3805299640 1702270353 2472053741 2816060613 1307901348 2702949728 879391505 884661815 330738731 1575749344 1239158446 2099693858 67466644...
output:
208755389215975 125497785366837 162446748431411 63166834945113 33018804920229 89343160639243 36805816758195 40790494641758 13928126471189 267168502433672 174567769038446 251141183855596 11189666657474 133862444125402 92684260245650 179275392898572 46159208957881 232612971657325 184946588056252 11022...
result:
Subtask #5:
score: 0
Skipped
Dependency #4:
0%
Subtask #6:
score: 0
Skipped
Dependency #1:
0%
Subtask #7:
score: 0
Skipped
Dependency #1:
0%