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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#79497 | #3276. 出题高手 | tricyzhkx | 5 | 726ms | 11240kb | C++14 | 1.7kb | 2023-02-20 10:06:14 | 2023-02-20 10:07:17 |
Judging History
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
Tip: Click on the bar to expand more detailed information
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...