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#421198#7872. 崩坏天际线kkkgjyismine4100 ✓2495ms43144kbC++145.2kb2024-05-25 15:10:172024-05-25 15:10:17

Judging History

你现在查看的是最新测评结果

  • [2024-05-25 15:10:17]
  • 评测
  • 测评结果:100
  • 用时:2495ms
  • 内存:43144kb
  • [2024-05-25 15:10:17]
  • 提交

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;
}

詳細信息

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'