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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#421198 | #7872. 崩坏天际线 | kkkgjyismine4 | 100 ✓ | 2495ms | 43144kb | C++14 | 5.2kb | 2024-05-25 15:10:17 | 2024-05-25 15:10:17 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
struct Node{int l,r,v,id;};
const int mod=998244353,inv2=(mod+1)/2,B=500,inf=1e9;
int son[10000005][2],fi[50050];
int sum[10000005],sum1[10000005],tt,tg[10000005];
#define ls(p) son[p][0]
#define rs(p) son[p][1]
#define mid (l+r>>1)
#define pb push_back
int mul(int a,int b){return 1ll*a*b%mod;}
void add(int &x,const int y){if((x+=y)>=mod)x-=mod;}
void sub(int &x,const int y){if((x+=(mod-y))>=mod)x-=mod;}
void init(){
for(int i=1;i<=tt;++i)ls(i)=rs(i)=sum[i]=sum1[i]=0;
tt=0;
}
void pp(int p){
sum[p]=sum1[p]=0;
if(ls(p))add(sum[p],sum[ls(p)]),add(sum1[p],sum1[ls(p)]);
if(rs(p))add(sum[p],sum[rs(p)]),add(sum1[p],sum1[rs(p)]);
}
void Mul(int p,int v){
if(!p)return;
sum[p]=mul(sum[p],v),sum1[p]=mul(sum1[p],v);
tg[p]=mul(tg[p],v);
}
void pd(int p){
if(tg[p]==1)return;
Mul(ls(p),tg[p]),Mul(rs(p),tg[p]),tg[p]=1;
}
void ins(int &p,int l,int r,int pos,int v){
if(!p)p=++tt,tg[p]=1;
if(l==r){add(sum[p],v),add(sum1[p],mul(v,l));return;}
pd(p);if(pos<=mid)ins(ls(p),l,mid,pos,v);
else ins(rs(p),mid+1,r,pos,v);pp(p);
}
void split(int p,int l,int r,int v,int &a,int &b){
if(!p){a=b=0;return;}
if(r<=v){a=p,b=0;return;}
if(v<l){a=0,b=p;return;}
pd(p);
if(v<=mid){
b=p,a=++tt,tg[a]=1;
split(ls(p),l,mid,v,ls(a),ls(b));
}else{
b=++tt,a=p,tg[b]=1;
split(rs(p),mid+1,r,v,rs(a),rs(b));
}pp(a),pp(b);
}
int merge(int u,int v,int l,int r){
if(!u||!v)return (u|v);
pd(u),pd(v);
add(sum[u],sum[v]),add(sum1[u],sum1[v]);
if(l==r)return u;
ls(u)=merge(ls(u),ls(v),l,mid),rs(u)=merge(rs(u),rs(v),mid+1,r);
return u;
}
set<int>pos;
int f[50050],n,q;
struct SGT{
int mn[200050];
void bd(int p,int l,int r){
mn[p]=inf;if(l==r)return;
bd(p<<1,l,mid),bd(p<<1|1,mid+1,r);
}
void cg(int p,int l,int r,int pos,int v){
mn[p]=min(mn[p],v);if(l==r)return;
if(pos<=mid)cg(p<<1,l,mid,pos,v);
else cg(p<<1|1,mid+1,r,pos,v);
}
int qry(int p,int l,int r,int a,int b){
if(a>b)return inf;
if(a<=l&&r<=b)return mn[p];
int ans=inf;if(a<=mid)ans=min(ans,qry(p<<1,l,mid,a,b));
if(b>mid)ans=min(ans,qry(p<<1|1,mid+1,r,a,b));
return ans;
}
}t;
int opt[50050],tl[50050],tr[50050],tot,Ans,rt[50050],rt1[50050];
vector<int>vec[500050];
int Opt[500500],Tl[500500],Tr[500500],Val[500500],Q,ans,vis[50050],ipw[100050];
set<int>Pos;
int lf[50050],rg[50050],ct[50050],Time[50050],que[50050],tail;
int calc(int l,int r){
memset(lf,0,sizeof(lf));
memset(rg,0,sizeof(rg));
ans=Q=0,Pos.clear(),Pos.insert(0),Pos.insert(n),lf[n]=0,rg[0]=n;
for(int i=r;i>=l;--i){
if(opt[i]&1){
set<int>::iterator it=Pos.lower_bound(tl[i]+1);
if((*it)>=tr[i]){++Q;Opt[Q]=1,Tl[Q]=tl[i],Tr[Q]=tr[i],Val[Q]=1;continue;}
vector<int>vec;for(int j=(*it);j&&j<tr[i];j=rg[j])vec.pb(j);
tail=0;
for(auto v:vec){
ct[v]=tail;
while(tail&&Time[que[tail]]>Time[v])--tail;
que[++tail]=v;
}
int ct1=tail,lst=tl[i];tail=0;
reverse(vec.begin(),vec.end());
for(auto v:vec){
while(tail&&Time[que[tail]]>Time[v])--tail;
que[++tail]=v;
ct[v]+=tail;
}
reverse(vec.begin(),vec.end());
int pq=0;
for(auto v:vec){
++Q;Opt[Q]=1;
Tl[Q]=lst,Tr[Q]=v,Val[Q]=ipw[ct[v]],lst=v;
add(pq,ipw[ct[v]]);
}
++Q,Opt[Q]=1,Tl[Q]=lst,Tr[Q]=tr[i],Val[Q]=ipw[ct1],add(pq,ipw[ct1]);
assert(pq==1);
}else{
Time[tl[i]]=i;
if(Pos.count(tl[i]))continue;
set<int>::iterator it=Pos.lower_bound(tl[i]);
int nxt=(*it),lst=(*(--it));
rg[lst]=tl[i],rg[tl[i]]=nxt;
lf[nxt]=tl[i],lf[tl[i]]=lst;
Pos.insert(tl[i]);
}
}
for(int i=r+1;i<=q;++i)if(opt[i]==2)++Q,Opt[Q]=2,Tl[Q]=tl[i];
init();
for(int i=1;i<=Q;++i)vec[i].clear();
pos.clear();
memset(rt,0,sizeof(rt));
memset(rt1,0,sizeof(rt1));
memset(f,0,sizeof(f));
t.bd(1,1,n);
for(int i=Q;i>=1;--i){
if(Opt[i]==2)t.cg(1,1,n,Tl[i],i);
else{
int mn=t.qry(1,1,n,Tl[i]+1,Tr[i]-1);
if(mn==inf)add(ans,mul(Tr[i]-Tl[i],Val[i]));
else vec[mn].pb(i);
}
}
pos.insert(0),pos.insert(n);
for(int i=1;i<=Q;++i){
if(Opt[i]&1||pos.count(Tl[i]))continue;
set<int>::iterator it=pos.lower_bound(Tl[i]);
int nxt=(*it),lst=(*(--it));
f[nxt]=mul(f[nxt],inv2),f[Tl[i]]=f[nxt];
split(rt[nxt],1,n,Tl[i]-1,rt[Tl[i]],rt[nxt]);
add(f[nxt],mul(sum[rt[Tl[i]]],inv2)),Mul(rt[Tl[i]],inv2);
split(rt1[lst],1,n,Tl[i],rt1[lst],rt1[Tl[i]]);
add(f[Tl[i]],mul(sum[rt1[Tl[i]]],inv2)),Mul(rt1[Tl[i]],inv2);
pos.insert(Tl[i]);
for(auto v:vec[i])ins(rt[Tl[i]],1,n,Tl[v],mul(inv2,Val[v])),ins(rt1[Tl[i]],1,n,Tr[v],mul(inv2,Val[v]));
}
for(int i=1;i<=n;++i){
if(!pos.count(i))continue;
int x=(*(--pos.lower_bound(i)));
add(ans,mul(i-x,f[i]));
}
for(auto v:pos){
add(ans,mul(v,sum[rt[v]]));
sub(ans,sum1[rt[v]]);
add(ans,sum1[rt1[v]]);
sub(ans,mul(v,sum[rt1[v]]));
}
return ans;
}
int main(){
scanf("%d%d",&n,&q);ipw[0]=1;
for(int i=1;i<=n+q;++i)ipw[i]=mul(ipw[i-1],inv2);
for(int i=1;i<=q;++i){
int op,l,r;scanf("%d",&op),opt[i]=op;
if(op&1)scanf("%d%d",&l,&r);
else scanf("%d",&l);
tl[i]=l,tr[i]=r;
}
for(int i=1;i<=q;i+=B)add(Ans,calc(i,min(i+B-1,q)));
cout<<Ans;
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 10
Accepted
Test #1:
score: 10
Accepted
time: 3ms
memory: 26964kb
input:
500 500 1 119 258 2 134 2 417 2 176 2 61 2 60 2 110 1 335 336 1 96 111 2 202 1 138 344 2 358 2 134 1 29 54 1 73 381 1 179 495 2 490 2 418 2 186 2 183 1 168 340 2 78 1 15 27 2 373 1 245 498 1 372 495 2 244 2 63 1 174 490 2 282 2 417 1 272 408 1 109 134 2 303 2 345 1 238 401 1 36 480 1 21 483 2 10 1 3...
output:
855279801
result:
ok single line: '855279801'
Test #2:
score: 10
Accepted
time: 0ms
memory: 28360kb
input:
495 466 1 35 393 2 236 1 4 335 2 455 1 36 470 1 23 61 2 195 2 109 2 451 1 282 491 2 238 2 117 2 468 1 2 60 1 439 487 2 238 1 209 294 2 321 2 309 1 113 183 2 409 2 87 2 130 2 124 2 176 2 448 2 379 1 181 446 2 146 2 450 1 171 423 2 355 2 332 1 123 387 1 151 269 1 17 417 2 122 1 324 494 1 265 439 2 225...
output:
294468977
result:
ok single line: '294468977'
Test #3:
score: 10
Accepted
time: 3ms
memory: 26664kb
input:
441 467 2 180 1 51 344 2 180 1 16 345 1 39 419 1 64 432 2 176 1 35 372 2 426 1 8 415 1 1 439 1 17 430 2 433 1 89 369 1 83 353 2 292 1 1 421 1 63 430 1 33 345 1 69 421 1 49 373 1 77 343 1 24 393 1 90 375 1 8 425 2 322 2 61 2 112 2 209 1 39 406 1 12 426 1 29 430 1 50 374 1 47 394 1 9 387 2 234 1 19 35...
output:
526117259
result:
ok single line: '526117259'
Test #4:
score: 10
Accepted
time: 3ms
memory: 26604kb
input:
500 500 2 442 1 12 414 1 40 435 2 138 1 79 448 1 16 464 2 163 1 94 492 2 97 2 335 1 7 452 1 25 474 1 78 442 2 286 1 93 430 1 78 438 2 469 2 354 2 270 2 292 2 108 2 301 1 100 480 2 258 1 17 487 2 2 2 409 2 385 2 338 1 83 454 1 41 490 1 95 475 1 43 442 1 66 445 2 406 2 168 1 10 406 2 330 2 20 1 90 491...
output:
810270061
result:
ok single line: '810270061'
Test #5:
score: 10
Accepted
time: 3ms
memory: 26716kb
input:
500 500 1 29 407 1 89 480 1 31 497 1 28 494 1 21 492 1 91 465 1 13 467 1 89 425 1 22 444 1 20 430 1 48 445 1 33 441 1 61 435 1 69 427 1 89 485 1 90 446 1 23 488 1 6 424 1 76 425 1 36 460 1 16 421 1 20 500 1 3 487 1 99 481 1 53 412 1 96 456 1 39 436 1 28 436 1 4 409 1 9 486 1 22 484 1 88 413 1 26 467...
output:
419428992
result:
ok single line: '419428992'
Test #6:
score: 10
Accepted
time: 3ms
memory: 28304kb
input:
500 500 1 85 442 1 20 473 1 10 441 1 31 426 1 95 478 1 60 454 1 54 491 1 97 464 1 14 443 1 88 474 1 28 462 1 97 410 1 99 496 1 96 493 1 62 479 1 12 466 1 64 471 1 43 490 1 50 411 1 85 448 1 48 433 1 30 456 1 39 462 1 46 409 1 63 494 1 39 409 1 36 436 1 27 463 1 37 498 1 69 464 1 8 441 1 99 436 1 84 ...
output:
519347055
result:
ok single line: '519347055'
Subtask #2:
score: 20
Accepted
Dependency #1:
100%
Accepted
Test #7:
score: 20
Accepted
time: 36ms
memory: 27888kb
input:
5000 5000 2 2254 2 4832 2 208 1 335 3080 2 481 1 527 3659 1 2645 3803 1 855 3544 2 3824 2 347 1 1567 4426 1 2184 4493 2 142 2 2451 1 995 4170 2 576 2 999 2 2726 1 278 3540 2 3218 1 922 3302 2 3253 2 4161 2 4505 1 4201 4534 1 1827 3540 2 3241 2 1909 2 2667 1 723 2453 2 3123 1 1017 4791 1 2953 3384 1 ...
output:
275175220
result:
ok single line: '275175220'
Test #8:
score: 20
Accepted
time: 32ms
memory: 29668kb
input:
4753 4704 1 589 2183 1 922 2210 2 2885 2 171 2 1597 2 3601 1 1906 4730 1 411 3615 2 1665 1 87 801 2 3525 2 2426 2 2723 1 323 4345 2 3950 2 460 2 4165 1 1156 2642 1 1490 3965 1 329 4081 1 1206 2077 2 4216 1 996 2254 2 2219 2 1035 2 4074 2 714 1 952 2726 2 3097 2 409 1 3320 4713 2 4061 1 1765 2040 1 2...
output:
840227126
result:
ok single line: '840227126'
Test #9:
score: 20
Accepted
time: 25ms
memory: 29488kb
input:
4141 4610 2 3761 2 2872 1 334 3247 1 273 3914 1 307 3651 1 607 4105 1 458 3269 1 270 3782 2 311 1 533 3332 2 2495 1 991 3573 1 376 3593 1 239 3682 1 259 3350 1 213 3380 2 1904 1 591 3512 1 845 3785 1 189 3335 1 817 3362 1 335 3288 2 3633 1 747 3586 2 4062 2 3812 1 487 3333 1 740 4002 1 847 3937 1 53...
output:
597472157
result:
ok single line: '597472157'
Test #10:
score: 20
Accepted
time: 51ms
memory: 30496kb
input:
5000 5000 2 2864 1 473 4676 2 858 2 2672 2 4473 2 800 2 3259 2 470 2 3859 2 2228 1 491 4536 1 700 4378 2 498 1 769 4837 1 80 4861 1 109 4201 1 908 4094 1 9 4706 2 1017 2 737 2 4155 1 270 4290 2 4434 2 1867 1 148 4119 1 299 4194 2 4076 2 1863 2 1570 2 4855 1 1000 4834 1 637 4827 2 1961 2 4518 1 811 4...
output:
251906928
result:
ok single line: '251906928'
Test #11:
score: 20
Accepted
time: 17ms
memory: 28604kb
input:
5000 5000 1 327 4388 1 768 4973 1 438 4243 1 288 4244 1 105 4460 1 862 4894 1 125 4611 1 934 4115 1 631 4349 1 635 4088 1 250 4629 1 873 4204 1 977 4296 1 391 4821 1 107 4589 1 86 4810 1 615 4072 1 221 4113 1 745 4771 1 806 4983 1 675 4334 1 709 4428 1 587 4180 1 494 4949 1 904 4253 1 901 4527 1 717...
output:
845230417
result:
ok single line: '845230417'
Test #12:
score: 20
Accepted
time: 34ms
memory: 29956kb
input:
5000 5000 1 902 4097 1 263 4218 1 502 4305 1 798 4433 1 392 4689 1 479 4006 1 518 4269 1 764 4295 1 48 4834 1 966 4574 1 374 4970 1 950 4925 1 54 4860 1 987 4144 1 448 4504 1 329 4838 1 734 4807 1 403 4387 1 275 4396 1 731 4769 1 206 4348 1 282 4258 1 676 4956 1 274 4943 1 892 4146 1 337 4962 1 798 ...
output:
678724707
result:
ok single line: '678724707'
Subtask #3:
score: 40
Accepted
Test #13:
score: 40
Accepted
time: 1627ms
memory: 35988kb
input:
50000 50000 1 24367 33007 1 14396 42256 1 6375 22327 1 7892 42501 1 10100 37998 1 6284 48524 1 7357 18164 1 16200 46424 1 18972 34131 1 16849 32591 1 1917 3018 1 19897 30272 1 45044 45753 1 18999 25448 1 5167 31033 1 6182 35335 1 7270 37270 1 12651 39965 1 28896 38022 1 13853 35426 1 35516 48244 1 1...
output:
733099543
result:
ok single line: '733099543'
Test #14:
score: 40
Accepted
time: 1214ms
memory: 38492kb
input:
49951 43686 1 21796 23464 1 29304 46959 1 5034 41719 1 7779 35334 1 27566 36486 1 20347 26165 1 12508 30387 1 18363 20335 1 8540 21417 1 5728 49086 1 46038 47603 1 10371 15910 1 27293 43572 1 18915 45279 1 7388 48342 1 6802 43746 1 4361 40049 1 41177 43375 1 23287 48354 1 37097 41733 1 2406 11638 1 ...
output:
792296531
result:
ok single line: '792296531'
Test #15:
score: 40
Accepted
time: 629ms
memory: 32584kb
input:
49914 43874 1 8935 40963 1 4425 44317 1 1769 45855 1 2436 40257 1 1778 47216 1 383 42149 1 5398 40732 1 1079 43346 1 6578 41660 1 9689 45985 1 6131 42681 1 8862 47431 1 3979 46189 1 6456 43485 1 2028 46574 1 3802 47787 1 6990 41659 1 9221 41204 1 2271 43554 1 8018 45280 1 9344 43917 1 6623 41152 1 7...
output:
831211412
result:
ok single line: '831211412'
Test #16:
score: 40
Accepted
time: 1209ms
memory: 31720kb
input:
50000 50000 1 1310 49344 1 5755 44255 1 3582 41465 1 6800 42160 1 1651 44584 1 7967 44410 1 3116 48795 1 1855 41120 1 27 42294 1 2455 49629 1 4196 42487 1 7070 44542 1 136 42053 1 5715 44222 1 8794 43115 1 4048 45579 1 635 46703 1 9246 41055 1 3678 41276 1 4871 41715 1 1659 44679 1 1639 46392 1 2479...
output:
316801136
result:
ok single line: '316801136'
Test #17:
score: 40
Accepted
time: 1347ms
memory: 34384kb
input:
50000 50000 1 8731 40028 1 6575 43815 1 9558 42476 1 7269 47567 1 6597 45567 1 7753 49129 1 9892 47319 1 9438 45710 1 8688 46209 1 75 43653 1 8918 44467 1 2751 43343 1 4433 45172 1 8062 40732 1 3342 41158 1 615 45475 1 7497 44843 1 9201 48262 1 3063 44796 1 9294 48709 1 382 46129 1 5935 48889 1 1195...
output:
680677335
result:
ok single line: '680677335'
Test #18:
score: 40
Accepted
time: 1693ms
memory: 41628kb
input:
50000 50000 1 5934 20406 1 21982 32375 1 7064 32616 1 28419 47337 1 28379 31201 1 40915 47773 1 14903 35558 1 2825 43481 1 28451 29178 1 4872 24238 1 5487 6527 1 33950 35231 1 6301 27246 1 3825 16238 1 3823 46254 1 10988 36002 1 6447 8234 1 4758 20500 1 4816 33750 1 3332 3743 1 723 25813 1 6797 4955...
output:
211908161
result:
ok single line: '211908161'
Subtask #4:
score: 30
Accepted
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Dependency #3:
100%
Accepted
Test #19:
score: 30
Accepted
time: 1722ms
memory: 38876kb
input:
50000 50000 1 23820 35205 1 23204 28152 1 10968 38077 2 26347 1 34065 43744 2 6956 1 12386 31941 1 5586 8700 1 37329 37421 1 13872 49853 1 10054 40143 2 9721 1 3312 36213 1 11745 48452 2 27741 2 37848 2 2566 2 9714 1 38322 48081 2 25675 1 28940 35759 2 11908 1 21501 22242 1 22858 23827 1 13837 25563...
output:
963178931
result:
ok single line: '963178931'
Test #20:
score: 30
Accepted
time: 1622ms
memory: 43144kb
input:
49844 49196 1 14456 32911 1 25807 25848 1 36273 38462 2 906 2 11834 2 1552 2 24305 1 25916 28701 2 15959 2 36578 1 4325 48457 1 25678 44301 2 9794 1 11656 20160 2 22873 2 44228 1 29465 40920 2 24618 2 5092 2 47096 1 8617 18389 1 35678 41207 1 12614 16730 2 23299 2 240 1 1980 46841 2 39602 1 2700 217...
output:
720301477
result:
ok single line: '720301477'
Test #21:
score: 30
Accepted
time: 989ms
memory: 40848kb
input:
40208 47419 1 3878 39147 2 40063 1 5302 30782 1 5676 36573 1 3071 31029 2 37839 1 19 34805 1 8302 36156 2 3219 1 3855 38334 2 28443 2 32961 1 7085 30246 2 26657 1 1197 39431 1 6522 37149 2 2160 1 7638 34260 1 7938 36825 2 31484 2 15343 1 4546 34945 1 8836 39829 2 14331 1 8469 34573 2 38079 1 2851 36...
output:
479455278
result:
ok single line: '479455278'
Test #22:
score: 30
Accepted
time: 1984ms
memory: 42556kb
input:
50000 50000 2 13550 2 36223 2 43206 1 5510 47597 2 6104 2 25632 1 9207 49739 1 8081 48987 1 5850 49093 1 5202 40432 2 44451 1 4973 41354 2 47071 2 37601 1 22 47601 1 2915 47643 2 9535 2 30503 2 37084 1 9914 43003 2 36565 1 6144 45818 1 8675 48820 1 406 45803 2 21625 2 18503 2 34530 1 7996 46583 1 66...
output:
749830221
result:
ok single line: '749830221'
Test #23:
score: 30
Accepted
time: 2495ms
memory: 41820kb
input:
50000 50000 2 13683 2 21410 2 44457 2 43166 2 12830 1 17939 27321 2 36727 1 27602 40953 2 18534 2 15927 2 38517 2 49434 2 41945 2 43511 2 2024 2 23862 2 24358 2 20120 2 28683 2 7467 2 35825 2 1214 2 46879 2 20156 2 6592 2 32224 2 181 1 27585 35166 2 6322 2 21685 2 46456 2 32309 2 10167 1 4022 29619 ...
output:
407055283
result:
ok single line: '407055283'
Test #24:
score: 30
Accepted
time: 1767ms
memory: 42544kb
input:
50000 50000 1 3717 40186 1 9852 44874 1 3429 45225 1 6774 49357 1 2761 49086 1 4497 41804 1 6653 45983 1 8605 45746 1 3439 45258 1 4871 45925 1 8952 49447 1 4846 42095 1 4949 48806 1 5032 49881 1 9094 47754 1 6003 43829 1 1665 41735 1 2596 49349 1 4544 42951 1 8987 47280 1 4031 42116 1 9586 48466 1 ...
output:
257719259
result:
ok single line: '257719259'