QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#338772 | #7872. 崩坏天际线 | Harry27182 | 100 ✓ | 2362ms | 38564kb | C++14 | 4.7kb | 2024-02-26 11:38:50 | 2024-02-26 11:38:50 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
const int mod=998244353,inv=(mod+1)>>1;
int n,m,l,r,op,x,p[50005],bl[50005],L[50005],R[50005],pos[50005],st[50005];
int val1[50005],val2[50005],b[50005];vector<int>v[50005];
struct node{int op,x,y;}q[50005];struct line{int x,y,w;}a[1000005];
struct segment1
{
int tr[200005];
void pushup(int k){tr[k]=min(tr[k<<1],tr[k<<1|1]);}
void change(int k,int l,int r,int x,int v)
{
if(l==r){tr[k]=min(tr[k],v);return;}
int mid=(l+r)>>1;
if(x<=mid)change(k<<1,l,mid,x,v);
else change(k<<1|1,mid+1,r,x,v);
pushup(k);
}
int query(int k,int l,int r,int x,int y)
{
if(x>y)return 0x3f3f3f3f;
if(x<=l&&r<=y)return tr[k];
int mid=(l+r)>>1,res=0x3f3f3f3f;
if(x<=mid)res=min(res,query(k<<1,l,mid,x,y));
if(y>mid)res=min(res,query(k<<1|1,mid+1,r,x,y));
return res;
}
}tr0;
struct segment2
{
int tag[200005],tr[200005];
void pushup(int k){tr[k]=(tr[k<<1]+tr[k<<1|1])%mod;}
void apply(int k,int v){tr[k]=1ll*tr[k]*v%mod;tag[k]=1ll*tag[k]*v%mod;}
void pushdown(int k)
{
if(tag[k]==1)return;
apply(k<<1,tag[k]);apply(k<<1|1,tag[k]);
tag[k]=1;
}
void update(int k,int l,int r,int x,int v)
{
if(l==r){tr[k]=(tr[k]+v)%mod;return;}
int mid=(l+r)>>1;pushdown(k);
if(x<=mid)update(k<<1,l,mid,x,v);
else update(k<<1|1,mid+1,r,x,v);
pushup(k);
}
void change(int k,int l,int r,int x,int y,int v)
{
if(x>y)return;
if(x<=l&&r<=y){apply(k,v);return;}
int mid=(l+r)>>1;pushdown(k);
if(x<=mid)change(k<<1,l,mid,x,y,v);
if(y>mid)change(k<<1|1,mid+1,r,x,y,v);
pushup(k);
}
int query(int k,int l,int r,int x,int y)
{
if(x>y)return 0;
if(x<=l&&r<=y)return tr[k];
int mid=(l+r)>>1,res=0;pushdown(k);
if(x<=mid)res+=query(k<<1,l,mid,x,y);
if(y>mid)res+=query(k<<1|1,mid+1,r,x,y);
return res%mod;
}
}tr1,tr2;//tr1 表示到后一个点,tr2 表示到前一个点
int main()
{
cin.tie(0)->sync_with_stdio(0);
cin>>n>>m;int ans=0;p[0]=1;
for(int i=1;i<=m;i++)p[i]=1ll*p[i-1]*inv%mod;
for(int i=1;i<=m;i++)
{
cin>>q[i].op;
if(q[i].op==1)cin>>q[i].x>>q[i].y;
else cin>>q[i].x;
}
int B=min(m,(int)sqrt(m)*5);
for(int i=1;i<=m;i++)
{
bl[i]=(i-1)/B+1;
if(bl[i]!=bl[i-1])L[bl[i]]=i,R[bl[i-1]]=i-1;
}
R[bl[m]]=m;
for(int k=1;k<=bl[m];k++)
{
for(int i=1;i<=n;i++)pos[i]=0x3f3f3f3f;
set<int>s1,s2;int cnt=0;
for(int i=R[k];i>=L[k];i--)
{
if(q[i].op==2)pos[q[i].x]=min(pos[q[i].x],i),s1.insert(q[i].x),s2.insert(-q[i].x);
else
{
int top=0;
for(auto it=s1.begin();it!=s1.end();it++)
{
int j=*it;if(j<=q[i].x)continue;
while(top&&pos[st[top]]>pos[j])top--;
st[++top]=j;val1[j]=top;
}
top=0;
for(auto it=s2.begin();it!=s2.end();it++)
{
int j=-*it;if(j>=q[i].y)continue;
while(top&&pos[st[top]]>pos[j])top--;
st[++top]=j;val2[j]=top;
}
int tot=0;
for(auto it=s1.begin();it!=s1.end();it++)if(*it>q[i].x&&*it<q[i].y)b[++tot]=*it;
if(!tot){a[++cnt]={q[i].x,q[i].y,1};continue;}
a[++cnt]={q[i].x,b[1],p[val2[b[1]]]};
for(int i=1;i<tot;i++)a[++cnt]={b[i],b[i+1],p[val1[b[i]]+val2[b[i+1]]]};
a[++cnt]={b[tot],q[i].y,p[val1[b[tot]]]};
}
}
for(int i=1;i<=4*n;i++)tr0.tr[i]=0x3f3f3f3f;
for(int i=R[k]+1;i<=m;i++)
{
v[i].clear();
if(q[i].op==2)tr0.change(1,1,n,q[i].x,i);
}
for(int i=1;i<=cnt;i++)
{
int now=tr0.query(1,1,n,a[i].x+1,a[i].y-1);
if(now==0x3f3f3f3f)ans=(ans+1ll*a[i].w*(a[i].y-a[i].x)%mod)%mod;
else v[now].emplace_back(i);
}
for(int i=1;i<=4*n;i++)tr1.tag[i]=tr2.tag[i]=1,tr1.tr[i]=tr2.tr[i]=0;
set<int>s;
for(int i=R[k]+1;i<=m;i++)
{
if(q[i].op==1)continue;
int x=q[i].x;
if(s.find(x)!=s.end())continue;
auto it=s.lower_bound(x);
int l=-1,r=0x3f3f3f3f;
if(it!=s.end())r=*it;
if(it!=s.begin())l=*prev(it);
s.insert(x);
if(r!=0x3f3f3f3f)
{
int now=tr1.query(1,1,n,max(1,l),x-1);
tr1.change(1,1,n,max(1,l),x-1,inv);
tr1.update(1,1,n,x,1ll*now*inv%mod);
}
if(l!=-1)
{
int now=tr2.query(1,1,n,x+1,min(n,r));
tr2.change(1,1,n,x+1,min(n,r),inv);
tr1.update(1,1,n,l,1ll*now*inv%mod);
}
for(int j=0;j<v[i].size();j++)
{
int l=a[v[i][j]].x,r=a[v[i][j]].y,w=a[v[i][j]].w;
tr1.update(1,1,n,l,1ll*inv*w%mod);tr2.update(1,1,n,r,1ll*inv*w%mod);
}
}
for(int i=1;i<=n;i++)
{
auto it=s.upper_bound(i);
if(it==s.end())continue;
ans=(ans+1ll*tr1.query(1,1,n,i,i)*(*it-i)%mod)%mod;
}
for(int i=1;i<=n;i++)
{
auto it=s.lower_bound(i);
if(it==s.begin())continue;
ans=(ans+1ll*tr2.query(1,1,n,i,i)*(i-*prev(it))%mod)%mod;
}
}
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: 11912kb
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: 0
Accepted
time: 2ms
memory: 9784kb
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: 0
Accepted
time: 2ms
memory: 11744kb
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: 0
Accepted
time: 2ms
memory: 9864kb
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: 0
Accepted
time: 2ms
memory: 11808kb
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: 0
Accepted
time: 3ms
memory: 11844kb
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: 42ms
memory: 12408kb
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: 0
Accepted
time: 42ms
memory: 10516kb
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: 0
Accepted
time: 32ms
memory: 12444kb
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: 0
Accepted
time: 58ms
memory: 13156kb
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: 0
Accepted
time: 39ms
memory: 12452kb
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: 0
Accepted
time: 49ms
memory: 12796kb
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: 1455ms
memory: 15312kb
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: 0
Accepted
time: 1224ms
memory: 15188kb
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: 0
Accepted
time: 973ms
memory: 14652kb
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: 0
Accepted
time: 1460ms
memory: 15544kb
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: 0
Accepted
time: 1631ms
memory: 18128kb
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: 0
Accepted
time: 1601ms
memory: 15620kb
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: 1791ms
memory: 21916kb
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: 0
Accepted
time: 1752ms
memory: 22612kb
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: 0
Accepted
time: 1436ms
memory: 27748kb
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: 0
Accepted
time: 2362ms
memory: 38564kb
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: 0
Accepted
time: 1840ms
memory: 18420kb
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: 0
Accepted
time: 1832ms
memory: 24156kb
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'