QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#114874 | #6194. Knapsack Problem | std_abs | WA | 1271ms | 3572kb | C++20 | 4.9kb | 2023-06-23 20:15:28 | 2023-06-23 20:15:29 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define pb push_back
#define pii pair<int, int>
#define all(a) a.begin(), a.end()
#define sz(a) ((int)a.size())
const int mod = 998244353, N = 100005;
struct Simplex {
using T = long double;
static const int N = 16, M = 8;
const T eps = 1e-8;
int n, m;
int Left[M], Down[N];
T a[M][N], b[M], c[N], v, sol[N];
bool eq(T a, T b) {return fabs(a - b) < eps;}
bool ls(T a, T b) {return a < b && !eq(a, b);}
void init(int _n, int _m) {
n = _n, m = _m, v = 0;
for (int i = 0; i < m; ++i) for (int j = 0; j < n; ++j) {
a[i][j] = 0;
}
for (int i = 0; i < m; ++i) {
b[i] = 0;
}
for (int i = 0; i < n; ++i) {
c[i] = sol[i] = 0;
}
}
void pivot(int x, int y) {
swap(Left[x], Down[y]);
T k = a[x][y]; a[x][y] = 1;
vector <int> nz;
for (int i = 0; i < n; ++i) {
a[x][i] /= k;
if (!eq(a[x][i], 0)) {
nz.pb(i);
}
}
b[x] /= k;
for (int i = 0; i < m; ++i) {
if (i == x || eq(a[i][y], 0)) {
continue;
}
k = a[i][y], a[i][y] = 0;
b[i] -= k * b[x];
for (int j : nz) {
a[i][j] -= k * a[x][j];
}
}
if (eq(c[y], 0)) {
return;
}
k = c[y], c[y] = 0, v += k * b[x];
for (int i : nz) {
c[i] -= k * a[x][i];
}
}
int solve() {
for (int i = 0; i < n; ++i) {
Down[i] = i;
}
for (int i = 0; i < m; ++i) {
Left[i] = n + i;
}
while (1) {
int x = -1, y = -1;
for (int i = 0; i < m; ++i) if (ls(b[i], 0) && (x == -1 || b[i] < b[x])) {
x = i;
}
if (x == -1) {
break;
}
for (int i = 0; i < n; ++i) if (ls(a[x][i], 0) && (y == -1 || a[x][i] < a[x][y])) {
y = i;
}
if (y == -1) return 1;
pivot(x, y);
}
while (1) {
int x = -1, y = -1;
for (int i = 0; i < n; ++i) if (ls(0, c[i]) && (y == -1 || c[i] > c[y])) {
y = i;
}
if (y == -1) {
break;
}
for (int i = 0; i < m; ++i) if (ls(0, a[i][y]) && (x == -1 || b[i] / a[i][y] < b[x] / a[x][y])) {
x = i;
}
if (x == -1) {
return 2;
}
pivot(x, y);
}
for (int i = 0; i < m; ++i) {
if (Left[i] < n) {
sol[Left[i]] = b[i];
}
}
return 0;
}
} solver;
int main() {
ios::sync_with_stdio(false), cin.tie(0);
int t;
cin >> t;
while (t--) {
int k;
cin >> k;
int n = (1 << k) - 1;
solver.init(n, k * 2);
vector <int> c(n);
for (int i = 0; i < n; ++i) {
cin >> c[i];
solver.c[i] = c[i];
}
vector <int> a(k);
for (int i = 0; i < k; ++i) {
cin >> a[i];
for (int j = 0; j < n; ++j) {
solver.a[i * 2][j] = ((j + 1) >> i & 1 ? 1 : 0);
solver.a[i * 2 + 1][j] = ((j + 1) >> i & 1 ? -1 : 0);
solver.b[i * 2] = a[i];
solver.b[i * 2 + 1] = a[i];
}
}
int x = solver.solve();
assert(x == 0);
vector <ll> res(n);
for (int i = 0; i < n; ++i) {
res[i] = solver.sol[i];
}
vector <ll> cur(n - k, -1);
ll best = 0;
while (true) {
int now = 0;
vector <ll> nxt = res;
for (int i = 0; i < n; ++i) {
if (i == 0 || i == 1 || i == 3 || i == 7) {
continue;
}
nxt[i] += cur[now], now++;
}
for (int i = 0; i < k; ++i) {
int j = (1 << i) - 1;
ll tot = 0;
for (int x = 0; x < n; ++x) if ((x + 1) >> i & 1 && x != j) {
tot += nxt[x];
}
nxt[j] = a[i] - tot;
}
if (*min_element(all(nxt)) >= 0) {
ll ans = 0;
for (int i = 0; i < n; ++i) {
ans += c[i] * nxt[i];
}
best = max(best, ans);
}
int pt = n - k - 1;
while (~pt && cur[pt] == 1) {
cur[pt] = -1, --pt;
}
if (pt == -1) {
break;
}
cur[pt]++;
}
cout << best << '\n';
}
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 11ms
memory: 3544kb
input:
3 2 1 2 4 4 5 3 3226252 19270256 2430652 1187613 12496062 10286165 17494834 24 85 34 4 901133 6693218 13245489 14740234 16186210 11382783 19277321 3855635 16523184 10168517 16195031 971041 10303441 8395899 11618555 529321239 218214127 92942310 207467810
output:
18 1949753378 7832404777567179
result:
ok 3 number(s): "18 1949753378 7832404777567179"
Test #2:
score: 0
Accepted
time: 1271ms
memory: 3528kb
input:
100 4 4488409 9842893 14331290 11289097 15777479 21131954 25620334 6146092 10634508 15988956 20477387 17435190 21923584 27278027 31766493 200477197 258791439 590664017 982949628 4 5484152 19851747 25335961 6555937 12039831 26407861 31891996 10897184 16381166 30749333 36233145 17453055 22937114 37304...
output:
16156444320083421 24565535429631234 29418802996321901 30685727712782520 21026118053726857 27272339796311010 28831028447377015 34577176834491128 9058894962996375 21525085254465501 6657186892229297 16750628911275484 11217846865301187 12674726744043780 33873234230125448 3890237279573366 319038768614465...
result:
ok 100 numbers
Test #3:
score: 0
Accepted
time: 1263ms
memory: 3528kb
input:
100 4 11618334 18295966 29914477 5116382 16734869 23412289 35030567 15002473 26620994 33298395 44916782 20118655 31737127 38414456 50032872 52573649 733715025 105771527 204824011 4 2142433 13679527 15822005 7304783 9447231 20984363 23126840 6271380 8413827 19950941 22093291 13576168 15718643 2725577...
output:
17648887427676796 21625331519839488 5123483163674640 20332898488476516 10882410276737710 25799406290369942 9021794681785918 14079661025657823 19651479225495798 19108340996997031 7502197529195960 14859286025000990 26534486448012504 21196964793845212 17222108748663918 19112873745810973 150116234459639...
result:
ok 100 numbers
Test #4:
score: 0
Accepted
time: 1267ms
memory: 3572kb
input:
100 4 19912840 5584811 25497404 10173442 30086113 15758284 35670730 10055784 29968204 15640365 35553036 20228929 40141706 25813818 45726645 199637398 648830099 620879036 721665690 4 7571016 7507237 15078004 19283701 26854580 26790914 34361725 2809630 10380467 10316661 17887650 22093187 29664080 2960...
output:
21172351446279597 12216316207781859 31685774482329793 36066732654517313 19340822375673782 17094361082328640 19075803268324489 23946411427126244 15750520513128720 10839993372177143 28038252774564427 12098359408203383 16661717061725678 16141878677697603 10422881545500853 23195259150880456 161145733965...
result:
ok 100 numbers
Test #5:
score: 0
Accepted
time: 1265ms
memory: 3568kb
input:
100 4 16976932 14037962 31014864 10197492 27174564 24235473 41212439 18912005 35888926 32949719 49926702 29109585 46086485 43147299 60124270 491925338 268977876 990762353 88764265 4 12999234 10104744 23104060 1196740 14196165 11301451 24300745 3216693 16215855 13321348 26320916 4413380 17412748 1451...
output:
23909367397934013 13788681506670460 23733351389222421 14554685971742458 21700214066873395 14675080284915330 33895419440563729 29492673616768327 11303756472296747 12482610599433273 14710253245102988 30271020171688425 9134330469412563 33975992434656396 17398716116891428 24545212510786538 3194464768874...
result:
ok 100 numbers
Test #6:
score: 0
Accepted
time: 1264ms
memory: 3556kb
input:
100 4 19074076 1326772 20400846 10221739 29295815 11548536 30622598 8932278 28006379 10259062 29333181 19154053 38228108 20480879 39554936 638989087 594158358 505869863 605605944 4 4624862 3932439 8557338 1945542 6570437 5877999 10502871 4787691 9412557 8720153 13345006 6733262 11358122 10665669 152...
output:
23556800109725722 10537032002627174 14660751629073194 20011815419177543 22625965024389053 11033496376968227 17546765754659334 27441279970436335 34448070575909396 25397224562147617 10757782582321602 16008699146950819 10145064828196714 41523392253608928 20626446413714925 32072152342903207 720635465608...
result:
ok 100 numbers
Test #7:
score: 0
Accepted
time: 1264ms
memory: 3572kb
input:
100 4 1171312 9779739 10950939 15278965 16449994 25058569 26229921 2821649 3992612 12601354 13772604 18100248 19271474 27880146 29051284 786052835 69081944 20977372 827480328 4 15086110 17760131 32846218 13924280 29010738 31684453 46770885 15128745 30215077 32888809 47975302 29053233 44139622 468134...
output:
4251688072802988 38416920079725055 6532611509976464 40289090747797420 5302425059666288 24716122297246780 40775392402414505 7056563165740518 17529843593302808 12819105623258024 20531058461804092 18722825798670288 33134881338491166 14337748949215833 28205390066848386 18508938475970114 1464607434360399...
result:
ok 100 numbers
Test #8:
score: 0
Accepted
time: 1268ms
memory: 3568kb
input:
100 4 3268337 18232898 21501303 9105978 12374475 27338971 30607287 11677818 14946177 29910672 33178912 20783747 24052133 39016627 42285057 783373480 689229722 536084881 344322007 4 5547703 11587692 17135387 870321 6417974 12457985 18005620 15535900 21083520 27123601 32671264 16406183 21953851 279938...
output:
24029593865073835 17357370523557614 7754333149525536 24770903948059615 14829362656077913 13853154752037552 22856229602033323 23897428200156414 17506334124779784 16507611157738008 21743814085856734 27158737156121400 14411231424407837 12391527972875238 23916408781407438 24317152966273698 7400547834361...
result:
ok 100 numbers
Test #9:
score: 0
Accepted
time: 1270ms
memory: 3528kb
input:
100 4 5365456 5521877 10887385 9130162 14495850 14651940 20017468 6731144 12096612 12252742 17618423 15861269 21226812 21383080 26748653 930437229 309377499 905968199 566196390 4 17173130 5415382 22588448 1619174 18792328 7034555 24207585 12074036 29247238 17489345 34662518 13693236 30866361 1910850...
output:
18783561823107173 17174759455871110 20660176070779614 32551394415335213 14757437903189281 14353521145985327 8825454958613940 18626834204122338 23538161187858980 9768340101299130 10856044914259908 13798985739347606 28560306475402613 9937141276845409 22030208362253896 10007043951392399 932418252758094...
result:
ok 100 numbers
Test #10:
score: 0
Accepted
time: 1269ms
memory: 3524kb
input:
100 4 8626843 13974903 22601547 9154419 17781333 23129257 31755964 15587325 24214126 29562230 38188966 24741851 33368575 38716644 47343335 77500977 784301085 421075708 933294965 4 2601585 19242893 21844460 8564983 11166697 27808106 30409548 7448057 10049691 26690992 29292813 16013341 18614976 352562...
output:
30031441828206913 23706173942582594 35850620790374689 12248181406938398 3569227446883530 27644763176419295 20081336598385059 22229155823622873 32305575190424382 28752041038252008 7011854183413928 28284434195685860 23754711092334182 21112877189703804 21779236766630770 11439389176833922 16936798822777...
result:
ok 100 numbers
Test #11:
score: 0
Accepted
time: 1263ms
memory: 3480kb
input:
100 4 13688404 12628879 26317621 5351629 19040005 17980387 31669079 14469291 28157775 27098440 40786668 19820709 33509247 32449794 46138396 116132017 898003516 839972106 892258556 4 6839726 3899287 10739121 113756 6953512 4013022 10852729 18786521 25626326 22685885 29525686 18900424 25740120 2279973...
output:
30336258507082714 3257768626402136 28768287749346077 24983778209266624 33337982642789783 8256725694468078 22292037981448585 18920943294190842 19458942341010512 8558313401862953 15215499555800050 16557870271025505 19252729255629219 5089861441915246 20378861002078977 20236585760009299 1513702155613423...
result:
ok 100 numbers
Test #12:
score: 0
Accepted
time: 1268ms
memory: 3456kb
input:
100 4 818632 14885007 15703632 10408690 11227157 25293691 26112291 9522508 10341287 24407621 25226174 19931188 20749827 34816087 35634914 408419958 223183998 355079615 259357132 4 12268258 17726903 29995137 7059674 19327948 24786537 37054795 14160661 26428894 31887596 44155812 21220340 33488624 3894...
output:
9822123147255252 25706707261441731 30764683969228288 20463407949651199 13119143982680734 4511209144591007 17206988115593070 21613410637449924 6063335219524613 28247599960704248 20398515507252217 7805031270286406 43671110708013807 16822872474944611 26966106568765306 38046693018932635 2288946869140619...
result:
ok 100 numbers
Test #13:
score: -100
Wrong Answer
time: 1266ms
memory: 3476kb
input:
100 4 17882885 3338008 21220862 10432804 28315706 13770867 31653699 18378803 36261713 21716859 39599725 28811677 46694515 32149718 50032575 555483706 843331776 165154420 481231515 4 3893831 6521669 10415260 7808579 11702235 14330241 18223833 15731888 19625524 22253365 26147241 23540433 27434140 3006...
output:
23316214536490063 22139250765511441 22281944987058948 22368379936792866 6094559071158787 14179808411937036 19848270480774283 31800041401313086 24430928137055338 21245647160267298 28720402198184113 21139760374401571 21459062813217036 19167200380594251 9060291570904319 3342348642918590 372868618667565...
result:
wrong answer 60th numbers differ - expected: '12002450431833678', found: '12002450431833674'