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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#118921 | #1914. Falling Portals | bashkort# | 7.142857 | 59ms | 12368kb | C++20 | 3.9kb | 2023-07-04 15:34:26 | 2024-05-31 18:59:24 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using db = long double;
struct Frac {
ll a = 1e9, b = 1;
Frac() = default;
Frac(ll a, ll b) : a(a), b(b) {}
bool operator<(const Frac &oth) const { return a * oth.b < b * oth.a; }
bool operator>(const Frac &oth) const { return a * oth.b > b * oth.a; }
bool operator==(const Frac &oth) const { return a * oth.b == b * oth.a; }
};
struct Line {
ll k = 0, b = -1e18;
Line() = default;
Line(ll k, ll b) : k(k), b(b) {}
db inter(const Line &oth) const { return (b - oth.b) / db(oth.k - k); }
Frac f(ll h, int i) const {
if (-b < h || k < i) {
return {};
}
if (k == i) {
assert(h == -b);
return {0, 1};
}
assert(k > i);
assert(-b >= h);
return Frac((-b - h), k - i);
}
};
struct CHT {
vector<Line> t;
void insert(const Line &v) {
assert(t.empty() || t.back().k > v.k);
while (size(t) > 1 && v.inter(t.end()[-2]) < v.inter(t.back())) {
t.pop_back();
}
t.push_back(v);
}
Frac query(ll h, int i) {
if (t.empty()) {
return {};
}
int lo = 0, hi = size(t) - 1;
while (lo < hi) {
int mid = lo + hi >> 1;
if (t[mid].f(h, i) < t[mid + 1].f(h, i)) {
hi = mid;
} else {
lo = mid + 1;
}
}
return t[lo].f(h, i);
}
};
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n;
cin >> n;
vector<int> h(n), Q(n);
for (int i = 0; i < n; ++i) {
cin >> h[i];
}
for (int i = 0; i < n; ++i) {
cin >> Q[i];
--Q[i];
}
vector<Frac> answers(n);
auto solve = [&]() -> vector<Frac> {
const int sz = 1 << __lg(n) + !!(n & (n - 1));
CHT tree;
vector<int> ord(n), inv(n), head(n);
iota(ord.begin(), ord.end(), 0);
sort(ord.begin(), ord.end(), [&](int i, int j) {
return h[i] < h[j];
});
for (int i = 0, j = 0; i < n; i = j) {
while (j < n && h[ord[i]] == h[ord[j]]) {
j += 1;
}
int f = i;
while (i < j) {
inv[ord[i]] = i;
head[ord[i]] = f;
i += 1;
}
}
vector<vector<int>> queries(n + 1);
for (int s = 0; s < n; ++s) {
int t = Q[s];
if (h[t] <= h[s]) {
queries[max(s, t) + 1].push_back(s);
}
}
vector<Frac> ans(n);
for (int i = n - 1; i >= 0; --i) {
tree.insert({i, -h[i]});
for (int s : queries[i]) {
int t = Q[s];
ans[s] = tree.query(h[t], t);
}
}
return ans;
};
answers = solve();
for (int s = 0; s < n; ++s) {
int t = Q[s];
if (t < s && h[t] <= h[s]) {
answers[s] = min(answers[s], Frac(h[s] - h[t], s - t));
} else if (t > s && h[t] >= h[s]) {
answers[s] = min(answers[s], Frac(h[t] - h[s], t - s));
}
}
reverse(h.begin(), h.end());
reverse(Q.begin(), Q.end());
for (int i = 0; i < n; ++i) {
h[i] = 1e9 - h[i] + 1;
Q[i] = n - Q[i] - 1;
}
auto sec = solve();
reverse(sec.begin(), sec.end());
for (int i = 0; i < n; ++i) {
answers[i] = min(answers[i], sec[i]);
}
for (int s = 0; s < n; ++s) {
Frac ans = answers[s];
ll d = gcd(ans.a, ans.b);
ans.a /= d, ans.b /= d;
if (ans < Frac(1e9, 1)) {
cout << ans.a << "/" << ans.b << '\n';
} else {
cout << "-1\n";
}
}
return 0;
}
详细
Test #1:
score: 7.14286
Accepted
time: 0ms
memory: 3512kb
input:
4 3 5 10 2 3 3 2 1
output:
7/2 7/2 5/1 -1
result:
ok 4 lines
Test #2:
score: 0
Wrong Answer
time: 49ms
memory: 11888kb
input:
100000 472909419 819415545 354941190 517113826 307239833 831177800 578834772 704837117 326642977 846249751 997452224 322958397 143787473 278464288 864820832 175161120 545824609 549197171 224617065 387719870 938593011 671365566 982006335 210657906 552581470 851423470 973444746 978545568 66820178 6528...
output:
152285674/1 188638241/1 167285155/42617 82564959/16297 148851281/50439 121823733/1 143228531/51587 50966299/35524 -1 -1 -1 128612227/16712 13767472/3 20119164/2731 -1 270852785/68242 -1 104859421/1 259960599/11905 108904549/1226 391595483/1 30735301/18371 727062875/1 41420828/2493 290914798/1 -1 663...
result:
wrong answer 1st lines differ - expected: '118375763/30533', found: '152285674/1'
Test #3:
score: 0
Wrong Answer
time: 59ms
memory: 11740kb
input:
100000 315623747 979206700 183094144 181505867 2572616 772718102 942741911 19472958 458398376 484546774 348949045 306690702 414701395 131437507 43708479 224826052 238532133 327518511 70279102 323433367 124141008 73101443 605805888 102782315 282343812 345273900 201043659 430908518 243739589 724275027...
output:
130531/66524 -1 341016653/1 158869574/47677 88395529/872 51894881/1 365939578/1 772204432/46505 107346530/803 274258869/1 93431123/3 158001/82 129734587/30488 192751841/19744 65706211/4 8888406/2993 93984043/9778 32820565/86973 467190/79 565967676/96875 148151899/48956 171964522/88855 15779020/7 850...
result:
wrong answer 2nd lines differ - expected: '292813/7595', found: '-1'
Test #4:
score: 0
Wrong Answer
time: 49ms
memory: 12368kb
input:
100000 1 4273 15397 29998 27927 48335 59992 44642 37593 89985 41136 43307 119975 48665 62351 149962 8744 116987 179946 98859 144057 209927 19516 41099 239906 183405 142896 269883 7437 83101 299858 174434 127933 329832 91448 39029 359803 174356 124036 389771 136441 166104 419738 196420 51865 449702 2...
output:
214487230/35559 88821503/17702 32033856/10529 33468604/86295 109325537/77025 75917/29913 140632343/20624 3222270/4547 136640093/16824 49022721/6184 17211212/15527 12654855/15206 45485815/97949 2089114/31923 45980153/13844 267807/89728 47193961/5878 132155797/65564 98104714/59561 939951/3643 43130746...
result:
wrong answer 5th lines differ - expected: '13665951/9628', found: '109325537/77025'
Test #5:
score: 0
Wrong Answer
time: 50ms
memory: 11836kb
input:
100000 1 933326351 11431 29998 989129972 37227 59992 989874362 62527 89984 979798680 75881 119974 982112916 19608 149961 995611915 151806 179946 913593466 132088 209929 930585647 149041 239909 930246483 218498 269887 972955258 54548 299863 927767028 295901 329836 953302565 223592 359806 995522236 31...
output:
221281385/50982 869331964/1 52985461/6135 591339/1969 3068967/1 12883181/29808 147900748/33431 134430317/1 912853771/6695 5773989/53987 925430279/1 1088062/161 177462577/24324 933346527/1 458487833/4186 216526559/36312 131293085/1 1073699/14360 56115974/10695 336651052/1 191001215/35949 9677459/9995...
result:
wrong answer 2nd lines differ - expected: '401837273/42017', found: '869331964/1'
Test #6:
score: 0
Wrong Answer
time: 50ms
memory: 11852kb
input:
100000 1 944663363 19033 29999 978821096 9085 59995 944910920 6257 89989 935899956 82545 119982 940520499 117973 149972 912135517 105359 179960 992861910 149037 209947 995445085 200979 239932 965159106 3211 269915 909296230 233961 299895 975484316 298245 329873 977094068 214362 359849 995636217 2225...
output:
2982983/44613 724008408/1 162411978/68491 7391521/7630 863403371/1 198467397/24358 13153700/88479 845880695/1 26745514/6821 164044531/68157 750958283/1 223786792/42439 62467229/83037 745895306/1 8936448/901 202494709/30804 850373562/1 201626116/59143 8441109/1285 811355267/1 390918461/99829 15846755...
result:
wrong answer 2nd lines differ - expected: '105551441/9703', found: '724008408/1'
Test #7:
score: 0
Wrong Answer
time: 0ms
memory: 3732kb
input:
100 534473706 617535198 746655229 582822181 350704338 460330801 735571468 88013273 362424504 855094440 710187915 697682713 997401051 460972806 717634399 444280514 755460273 944591484 265200138 839544060 662809699 661469793 497227720 278087261 937000185 722532327 468846527 92827045 15385128 139854649...
output:
460073995/39 12887123/5 -1 89666677/87 56359354/13 95172478/11 105100478/5 64096843/70 69791749/2 380182295/1 139453261/30 -1 47435537/1 242217149/1 85267635/4 19704644/1 8612481/7 12887123/5 320687502/17 14372905/1 282646370/1 -1 129514865/2 24414189/53 34722875/24 106422023/18 -1 -1 248966439/38 1...
result:
wrong answer 2nd lines differ - expected: '499461693/79', found: '12887123/5'
Test #8:
score: 0
Wrong Answer
time: 0ms
memory: 3604kb
input:
100 832359132 241086117 70268513 75641100 493265869 8969911 580115154 253097306 322151607 572536179 103433364 769475382 58915476 7943159 674934181 286336577 158800591 167266000 146088101 655190514 41590604 326590745 562776717 281254161 127537826 133491925 80685740 116325615 999795567 247078385 96567...
output:
-1 252179752/3 238403329/67 89450727/91 47249794/7 141636926/51 270049998/1 27792264/7 532938928/1 -1 11144545/2 -1 62774260/33 10045243/9 140034057/1 145892371/43 66348905/24 127748535/34 127748535/34 9175579/4 -1 4460961/13 250384572/1 3559760/3 5002900/27 -1 152030481/61 91512785/6 -1 56941787/73...
result:
wrong answer 3rd lines differ - expected: '37201903/6', found: '238403329/67'
Test #9:
score: 0
Wrong Answer
time: 1ms
memory: 4016kb
input:
2000 21505957 142018840 50835846 230286771 619214141 711966088 451418032 83312406 997278214 235672441 776998092 992475976 912444334 252212792 547270894 875994775 420249958 660039013 284835603 996966995 545404037 762620339 218177198 216536966 712712166 284586306 598975962 889965588 251816698 28540064...
output:
621739397/749 21379537/2 482154380/809 71254561/58 106942807/248 368582114/1 141060098/1665 119436143/17 -1 16853958/5 137708607/1814 -1 82978779/1 234038969/1165 194193695/1 -1 -1 72179485/12 166259/59 6444859/50 -1 -1 97064431/522 121722629/53 700110256/1 375503455/254 -1 21948438/1 64789171/438 1...
result:
wrong answer 2nd lines differ - expected: '68924125/851', found: '21379537/2'
Test #10:
score: 0
Wrong Answer
time: 1ms
memory: 3800kb
input:
2000 797776435 328363264 380792931 830287509 570335429 882870824 429432401 710728673 945865610 940849228 403089500 796543599 901854446 712568094 68385691 346788092 179631402 72575296 680321593 139773675 517849401 190654156 839257552 981435241 992409916 887842045 919377993 677204575 940817503 5589288...
output:
-1 38621117/206 214354369/1137 -1 -1 -1 41576602/1721 -1 -1 9827803/573 128263937/513 97044383/7 559203/1 -1 8072465/67 774333643/1 554039885/1037 136547497/295 -1 -1 110142397/776 48666785/1741 7410561/2 -1 -1 10863667/3 -1 37738995/463 392359137/1 233929855/1 -1 34584745/1747 436195823/157 1582359...
result:
wrong answer 1st lines differ - expected: '103496945/1514', found: '-1'
Test #11:
score: 0
Wrong Answer
time: 50ms
memory: 11900kb
input:
100000 40496370 324535254 49378557 776806467 392153838 609799230 999070315 9268041 50237542 87633903 878656049 864388090 896320175 129811364 229732659 323726790 766611509 83562791 105404287 304944654 412773020 198917959 443657299 415124223 512809649 256079123 986186956 2116823 811457832 528369347 63...
output:
909844125/74797 44752761/2 138443771/3 -1 581796039/1 57773435/4 1880299/1 389816351/60850 356986812/4679 480772724/30785 359023647/1 -1 496966923/1 373080966/1 2524209/4670 -1 -1 220155017/56091 26635342/10865 1002356/23 8880563/8457 8248996/1 402427421/1 83364995/81099 27162307/4020 50779853/89491...
result:
wrong answer 2nd lines differ - expected: '224068850/13921', found: '44752761/2'
Test #12:
score: 0
Wrong Answer
time: 50ms
memory: 11912kb
input:
100000 747693760 346580867 964846225 969980340 332880584 194631534 209614296 522099709 464443293 921495511 83514635 841823909 900939960 262364081 256636328 411285480 427902137 406071146 24620069 112056879 943629859 862303870 308874724 251885142 471236107 744614688 681975403 212603157 214491071 32304...
output:
-1 118249853/13726 188747735/2 -1 8084821/2769 176853560/12729 84266082/12443 589021845/1 257972110/42497 266273578/3 794770271/18621 21885340/69607 -1 -1 214367135/82708 279048062/1 348241472/1 12309953/490 289791746/75455 233233519/23345 11316602/99271 256611870/1 344991640/72689 57955389/28477 50...
result:
wrong answer 1st lines differ - expected: '78195569/6188', found: '-1'
Test #13:
score: 0
Wrong Answer
time: 58ms
memory: 11820kb
input:
100000 97813451 955958588 478382047 254807140 430405236 587356632 581166185 416641725 298677059 255167178 707387178 995828332 1210912 419588635 497113506 472224137 683979366 992616764 280702107 282745359 832716627 830311108 1931725 972918653 684698510 654423087 966059769 427612303 261873029 35728741...
output:
127919159/46770 -1 64147060/1 212509/21 26291384/7555 16984427/2366 465661/4681 90622325/10837 98729312/73825 2687546/9 67612945/21223 58188198/1 308404938/34405 3893485/11669 407950073/41963 420191104/8629 154809641/33303 -1 -1 595287471/26000 8436608/31 -1 12989093/13010 -1 18877056/1 97911874/156...
result:
wrong answer 2nd lines differ - expected: '266183846/35305', found: '-1'
Test #14:
score: 0
Wrong Answer
time: 54ms
memory: 11904kb
input:
100000 822999751 128955399 431407947 917749297 190297412 252492617 150325783 759881331 829939635 283074122 899601042 159665057 607610844 489768568 320041755 787661887 373639719 710748050 188262807 366602165 732969261 932719233 208477147 358075812 125541209 536067868 278333698 201086482 537247556 180...
output:
-1 51144568/51191 349046335/85638 -1 72903083/19044 329825178/60235 23066327/40173 331847666/1 20187979/4 4759354/8409 10644649/85083 78919891/68507 21842081/2 7392021/25 247872793/2 -1 263576792/1 25821919/28596 130655890/25201 3691553/1 -1 569586507/1 555721319/11599 143351670/1 66061428/1 -1 3286...
result:
wrong answer 1st lines differ - expected: '80903637/10393', found: '-1'