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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#79497#3276. 出题高手tricyzhkx5 726ms11240kbC++141.7kb2023-02-20 10:06:142023-02-20 10:07:17

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-02-20 10:07:17]
  • 评测
  • 测评结果:5
  • 用时:726ms
  • 内存:11240kb
  • [2023-02-20 10:06:14]
  • 提交

answer

# include <bits/stdc++.h>
using namespace std;
typedef long long ll;
int n,a[500010],sum[500010],stk[500010];
template<typename T>
void upd(T &a,const T &b){a=max(a,b);}
struct Frac
{
	int a,b;// a^2/b
	Frac(int _a=0,int _b=0):a(_a),b(_b){}
	bool operator<(const Frac &x)const{return (ll)a*a*x.b<(ll)x.a*x.a*b;}
}maxn[500010],ans[300010];
struct Query
{
	int l,r,id;
	bool operator<(const Query &x)const{return l>x.l;}
}que[300010];
bool cmpl(Query a,Query b){return a.l>b.l;}
bool cmpr(Query a,Query b){return a.r<b.r;}
void update(int x,const Frac &y){for(int i=x;i<=n;i+=i&(-i)) upd(maxn[i],y);}
Frac query(int x)
{
	Frac ans(0,1);
	for(int i=x;i;i-=i&(-i)) upd(ans,maxn[i]);
	return ans;
}
int main()
{
	int q,tp=0;
	cin>>n;
	for(int i=1;i<=n;i++) scanf("%d",&a[i]),sum[i]=sum[i-1]+a[i];
	cin>>q;
	for(int i=1;i<=q;i++) scanf("%d%d",&que[i].l,&que[i].r),que[i].id=i;
	fill(ans+1,ans+q+1,Frac(0,1));
	sort(que+1,que+q+1,cmpr);
	fill(maxn+1,maxn+n+1,Frac(0,1));
	for(int i=0,j=1;i<=n;i++)
	{
		while(tp && sum[stk[tp]]>=sum[i]) tp--;
		for(int j=1;j<=tp;j++) update(n-stk[j],Frac(sum[i]-sum[stk[j]],i-stk[j]));
		stk[++tp]=i;
		for(;j<=q && que[j].r==i;j++) upd(ans[que[j].id],query(n-que[j].l+1));
	}
	tp=0;
	sort(que+1,que+q+1,cmpl);
	fill(maxn+1,maxn+n+1,Frac(0,1));
	for(int i=n,j=1;i>=0;i--)
	{
		while(tp && sum[stk[tp]]>=sum[i]) tp--;
		for(int j=1;j<=tp;j++) update(stk[j],Frac(sum[stk[j]]-sum[i],stk[j]-i));
		stk[++tp]=i;
		for(;j<=q && que[j].l==i+1;j++) upd(ans[que[j].id],query(que[j].r));
	}
	for(int i=1;i<=q;i++)
	{
		ll a=(ll)ans[i].a*ans[i].a,b=ans[i].b,g=__gcd(a,b);
		printf("%lld %lld\n",a/g,b/g);
	}
	return 0;
}

Details

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Subtask #1:

score: 5
Accepted

Test #1:

score: 5
Accepted
time: 52ms
memory: 11072kb

input:

2000
-113 314 -664 697 211 -199 -38 -190 8 -661 910 -811 -113 942 77 433 -261 -368 129 -525 968 -608 -21 38 -562 438 -935 -228 220 333 985 -430 916 586 764 476 794 664 383 503 206 -60 380 -130 -988 -904 -996 -304 -286 31 114 119 850 -942 714 -369 -842 250 -192 -462 -727 -427 -602 126 231 718 121 559...

output:

54826875 11
14638276 7
1185921 1
81018001 24
6310144 3
12545764 5
3362000 1
23068809 8
23068809 8
12545764 5
1444908 1
5424241 3
1083603 1
2140369 1
2752281 2
3095072 1
3003289 2
4959529 2
17106496 13
4780232 1
89605156 31
8543929 4
129163225 48
5094049 2
68591524 23
8543929 4
35688676 11
3775249 1
...

result:

ok 200000 numbers

Test #2:

score: 0
Accepted
time: 41ms
memory: 11240kb

input:

2000
717 273 112 -879 -487 -164 -403 -895 391 721 223 895 -34 146 -779 -84 253 44 690 716 975 -625 844 731 204 457 -790 349 -739 610 -536 -561 721 -868 -967 68 729 878 672 -158 -395 -836 383 -634 -371 -262 -443 -123 -20 354 198 171 681 -390 -964 954 735 713 -904 -900 -522 561 -639 -86 326 -479 448 -...

output:

82773604 23
58201641 20
2289169 1
40500496 19
1849372 1
12759184 5
2896804 1
14775048 7
7636232 5
1806005 1
3179089 2
26388769 16
1638050 1
2778889 2
156275001 49
17181522 7
2289169 1
6817321 3
758912 1
40500496 19
4941729 2
8276763 5
5841889 3
3250809 2
1806005 1
2289169 1
156275001 49
9684544 5
25...

result:

ok 200000 numbers

Test #3:

score: 0
Accepted
time: 53ms
memory: 11112kb

input:

2000
-851 -108 -432 344 -251 251 529 923 363 -346 416 -296 -686 832 565 66 150 -492 70 0 -977 -275 -454 -409 -979 353 -511 -458 -403 632 250 -689 -15 773 664 -386 931 -866 436 -213 711 -961 662 -849 -286 -143 -7 -933 960 -523 135 -609 86 408 643 -147 437 411 -580 -184 735 -968 417 977 863 325 518 83...

output:

15984004 5
2520500 1
49900050 19
28451556 13
12830724 5
2975625 2
24157225 11
1733522 1
11909401 4
15864289 5
8487200 3
1733522 1
1733522 1
6993800 3
15721225 6
1937664 1
3411409 2
11377129 5
2849344 3
1594323 1
15984004 5
15864289 5
7557001 6
2050624 1
2286387 1
1733522 1
49900050 19
5320322 3
3910...

result:

ok 200000 numbers

Test #4:

score: 0
Accepted
time: 51ms
memory: 11028kb

input:

2000
269 60 -850 537 -525 -153 877 649 998 -864 -642 -77 -69 -127 537 315 -521 -922 -629 277 162 -541 659 -572 -542 -203 -997 494 364 156 276 -780 -274 94 -410 -215 -700 -840 -906 352 972 -61 824 -973 841 80 -180 634 496 -111 934 -692 328 151 297 -13 -465 380 450 -324 -367 40 318 -447 -820 -340 -107...

output:

41190724 9
1872300 1
3530641 1
12061729 7
17032129 6
7873636 3
21641104 7
100876808 37
7946761 5
10246401 4
1836025 1
12061729 7
1836025 1
2490010 1
1687500 1
7946761 5
3613801 2
14768649 5
11404129 5
7873636 3
22033636 15
10246401 4
10067929 4
1453248 1
41190724 9
9006001 5
1718658 1
5428900 3
4452...

result:

ok 200000 numbers

Test #5:

score: 0
Accepted
time: 57ms
memory: 11096kb

input:

2000
599 530 -362 736 -402 -252 901 -481 318 -100 716 -726 221 -887 217 455 -516 -948 -10 -963 -373 42 -968 -949 -440 -643 -649 35 197 64 -141 -465 -975 -804 -735 -847 396 100 -131 219 543 571 -566 653 -308 725 105 668 -509 416 309 -945 260 -302 -704 -914 -648 495 -595 32 -831 -607 -104 373 -810 -12...

output:

1154640400 203
2812329 1
11826721 4
35224225 11
3276726 1
74528689 18
11539609 5
24433249 12
1431432 1
17884441 6
51739249 12
2339280 1
1565001 1
2354988 1
3276726 1
1920800 1
11539609 5
21846050 11
964324 1
11548332 5
5433561 4
142324900 29
31102929 17
35224225 11
1569992 1
8720209 4
8892324 5
6165...

result:

ok 200000 numbers

Subtask #2:

score: 0
Time Limit Exceeded

Test #6:

score: 15
Accepted
time: 685ms
memory: 10620kb

input:

100000
754 792 -680 426 425 347 481 -690 530 378 73 -907 -431 45 -530 -552 440 -890 -15 712 695 -679 -310 13 718 805 193 -291 -877 -74 -355 511 -679 -395 166 -710 -657 -19 874 26 832 507 854 -289 700 -404 472 -302 -977 8 -698 40 766 705 369 838 700 -964 552 -535 -75 -608 -181 -503 468 447 772 904 -2...

output:

466344025 67

result:

ok 2 number(s): "466344025 67"

Test #7:

score: -15
Time Limit Exceeded

input:

100000
-387 -313 -47 -714 -74 239 8 591 541 -633 -660 981 -230 -148 -813 -802 -108 -543 -640 50 962 137 -972 -936 -975 885 793 -541 932 861 -348 885 -280 -977 -677 964 355 604 54 -977 -548 979 -516 136 437 -697 -23 -748 492 897 -538 785 617 -840 675 -978 307 -288 -493 682 678 -623 613 762 -622 -283 ...

output:


result:


Subtask #3:

score: 0
Time Limit Exceeded

Test #11:

score: 0
Time Limit Exceeded

input:

500000
794 -75 -596 -322 -945 -908 -609 -164 488 626 -877 -710 140 -120 -475 -837 738 669 634 -643 -682 667 816 -785 -608 -836 -860 -932 242 70 -620 268 -121 288 209 -392 732 750 558 -480 565 327 -217 -891 767 211 -690 -66 813 -889 952 615 432 19 411 800 678 718 522 422 940 -510 -544 449 -357 640 40...

output:


result:


Subtask #4:

score: 0
Time Limit Exceeded

Test #16:

score: 15
Accepted
time: 726ms
memory: 10672kb

input:

100000
-496 -233 354 -632 -196 177 -878 -255 -19 -636 685 -70 101 -975 -406 -988 -965 -205 563 -766 763 511 -116 -746 -129 14 106 928 -457 -257 -283 226 3 899 -359 -792 615 490 -57 986 -243 624 -239 931 -555 -821 -72 -611 -380 -397 248 -132 956 -195 -322 -231 319 -214 837 -379 -931 -301 -4 -673 280 ...

output:

1352474176 205
13957947 4
67914081 16
33243858 7
10885778 3
27836176 7
50680161 11
235284921 74
106770889 25
2411809 2
2835045 1
14017536 5
134699236 43
286523329 74
28100601 11
17546888 5
23396569 6
80839443 25
4012009 3
2661336 1
42947912 11
3474284 1
61496964 19
3672245 1
6120676 3
7573504 3
1489...

result:

ok 10000 numbers

Test #17:

score: -15
Time Limit Exceeded

input:

100000
-869 53 -81 127 179 138 -838 925 306 178 -55 -225 -567 534 949 -510 713 -280 -889 370 708 258 -726 -235 17 41 51 -405 -889 647 -308 997 -219 84 -271 662 -139 -492 979 -103 -624 732 606 -629 -40 242 231 -23 -332 524 -963 -991 366 790 691 902 536 476 -799 959 150 931 794 -601 794 942 598 148 11...

output:


result:


Subtask #5:

score: 0
Time Limit Exceeded

Test #31:

score: 0
Time Limit Exceeded

input:

100000
139 -485 -497 -818 254 169 -560 22 377 -67 -243 -75 743 -788 -676 -26 -775 371 576 -303 54 733 422 800 445 687 479 -16 -288 259 783 -586 912 616 439 -416 676 -555 172 659 501 -868 337 22 -60 260 603 -982 -149 466 769 -595 -117 949 -544 904 753 20 776 175 -888 937 -792 -647 -615 59 -298 452 -6...

output:


result: