QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#414268 | #2581. 浙江省选 | Ecec243 | 100 ✓ | 356ms | 10600kb | C++23 | 3.7kb | 2024-05-18 19:03:27 | 2024-05-18 19:03:31 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define pb push_back
#define mk make_pair
#define Size(x) ((x).size())
#define rep(i, l, r) for(int (i) = (l); (i) <= (r); ++(i))
#define per(i, r, l) for(int (i) = (r); (i) >= (l); --(i))
#define chkmax(x, y) (x) = max((x), (y))
#define chkmin(x, y) (x) = min((x), (y))
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef vector<int> VI;
inline char gc() {
static char now[1 << 16], *S, *T;
if (S == T) {T = (S = now) + fread(now, 1, 1 << 16, stdin); if (S == T) return EOF;}
return *S ++;
}
inline int readint() {
int x = 0, f = 1; char c = gc();
while (c < '0' || c > '9') {(c == '-') ? (f = 0) : 0; c = gc();}
while (c >= '0' && c <= '9') {x = (x << 3) + (x << 1) + (c ^ 48); c = gc();}
return f ? x : ((~ x) + 1);
}
inline ll readll() {
ll x = 0, f = 1; char c = gc();
while (c < '0' || c > '9') {(c == '-') ? (f = 0) : 0; c = gc();}
while (c >= '0' && c <= '9') {x = (x << 3) + (x << 1) + (c ^ 48); c = gc();}
return f ? x : ((~ x) + 1);
}
struct frac {
ll x, y;
};
inline ll floor(const frac &A) {
return A.x / A.y;
}
inline ll ceil(const frac &A) {
return A.x / A.y + (A.x % A.y != 0);
}
inline bool operator < (const frac &A, const ll &B) {
return (ld) A.x / A.y < (ld) B;
}
inline bool operator < (const frac &A, const frac &B) {
return (ld) A.x / A.y < (ld) B.x / B.y;
}
inline frac make(const ll &x, const ll &y) {
return (y > 0) ? (frac) {x, y} : (frac) {- x, - y};
}
const int N = 100010;
const ll inf = 1ll << 60;
int n, ans[N];
struct item {
int k, id; ll b;
} a[N], stk[N];
int top;
inline bool operator < (const item &A, const item &B) {
return (A.k ^ B.k) ? (A.k < B.k) : (A.b > B.b);
}
inline frac inter(const item &A, const item &B) {
return make(B.b - A.b, A.k - B.k);
}
inline void halfplane() {
top = 0;
rep(i, 1, n) {
if (ans[a[i].id] != -1) continue ;
while (top >= 2 && inter(a[i], stk[top - 1]) < inter(stk[top], stk[top - 1])) -- top;
if (top == 1 && a[i].b > stk[top].b) -- top;
if (top == 0 || a[i].k != stk[top].k) stk[++ top] = a[i];
}
}
pair<ll, int> que[N << 1]; int cnt;
int main() {
n = readint(); int m = readint();
rep(i, 1, n) {
a[i].k = readint();
a[i].b = readll();
a[i].id = i;
ans[i] = -1;
}
sort(a + 1, a + n + 1);
rep(nowm, 1, m) {
halfplane();
if (!top) break ;
stk[0] = stk[1]; stk[0].k = 0;
int now = 0; cnt = 0;
rep(i, 1, n) if (ans[a[i].id] != -1) {
int l = 0, r = top;
while (l < r) {
int mid = (l + r + 1) >> 1;
if (a[i].k <= stk[mid].k || inter(a[i], stk[mid - 1]) < inter(stk[mid], stk[mid - 1])) r = mid - 1;
else l = mid;
}
if (l == 0) ++ now;
else que[++ cnt] = mk(floor(inter(a[i], stk[l])) + 1, 1);
if (a[i].k < stk[top].k) {
l = 1, r = top + 1;
while (l < r) {
int mid = (l + r) >> 1;
if (a[i].k >= stk[mid].k || (mid != top && inter(stk[mid], stk[mid + 1]) < inter(a[i], stk[mid + 1]))) l = mid + 1;
else r = mid;
}
que[++ cnt] = mk(ceil(inter(a[i], stk[l])), -1);
}
}
sort(que + 1, que + cnt + 1);
int pos = 1;
rep(i, 1, top) {
ll l = ceil(inter(stk[i], stk[i - 1])),
r = i == top ? inf : floor(inter(stk[i], stk[i + 1]));
if (l > r) continue;
while (pos <= cnt && que[pos].fi <= l) {
ll val = que[pos].fi;
while (pos <= cnt && que[pos].fi == val) now += que[pos ++].se;
}
int mn = now;
while (pos <= cnt && que[pos].fi <= r) {
ll val = que[pos].fi;
while (pos <= cnt && que[pos].fi == val) now += que[pos ++].se;
chkmin(mn, now);
}
if (mn == nowm - 1) ans[stk[i].id] = nowm;
}
}
for (int i = 1; i <= n; ++ i) printf("%d ", ans[i]);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 10
Accepted
time: 2ms
memory: 7892kb
input:
200 20 999980116 499972659661732832 999976382 499985954590784341 999989500 499925628313372149 999969174 499998188932933085 999993007 499901652814140492 999990405 499919713063836435 999985157 499951191391405214 999988856 499929777538026104 999983505 499959193478550562 999997425 499868325384982983 999...
output:
13 3 1 1 13 1 9 1 1 5 1 4 10 1 2 4 8 8 1 8 2 9 12 8 7 11 1 4 1 18 8 10 7 5 15 17 18 9 5 6 1 8 1 1 1 4 1 6 6 10 5 2 2 1 1 1 1 1 1 1 14 1 5 8 13 2 8 1 1 12 14 7 5 1 19 9 6 1 8 20 8 1 7 6 1 4 4 5 1 1 15 7 -1 1 15 1 11 1 8 1 1 1 1 1 2 1 1 1 3 2 14 1 1 1 2 1 7 4 6 6 1 2 1 5 3 1 13 8 6 20 10 3 1 3 2 5 5 5...
result:
ok 200 numbers
Test #2:
score: 10
Accepted
time: 0ms
memory: 7876kb
input:
200 20 999987497 499948437833472521 999996959 499868998184523935 999994358 499893870645923033 999975699 499997452465640324 999991019 499922692912995747 999995590 499882342299620979 999992660 499908940075973527 999993430 499902451634211649 999988597 499940942406206565 999984338 499966668609284350 999...
output:
6 10 1 1 2 1 15 1 1 10 1 3 11 1 19 6 15 11 1 17 3 2 10 3 2 5 1 16 1 7 10 14 11 8 3 12 7 5 7 4 1 5 5 1 1 2 1 3 20 6 15 3 5 1 3 12 9 1 2 1 8 1 4 8 5 8 3 11 1 9 17 5 3 1 7 9 6 6 4 17 6 1 3 5 1 6 4 13 1 1 12 9 20 3 5 1 4 1 6 1 1 1 1 1 6 1 1 1 5 6 9 1 1 1 8 1 2 5 15 20 1 2 1 12 3 2 7 4 4 15 3 4 1 13 3 17...
result:
ok 200 numbers
Test #3:
score: 10
Accepted
time: 20ms
memory: 8964kb
input:
100000 1 995507459 455461230768415462 992113796 476633897430149354 990046675 486176517140632308 990693952 483456835323367192 992902690 472331671443411224 984426621 499579245114571350 996609686 447080228327473793 996775878 445749287086756631 997240803 441933882373646908 984490644 499532148643458218 9...
output:
-1 -1 1 -1 1 1 1 -1 1 -1 -1 1 -1 -1 -1 -1 -1 1 -1 -1 -1 1 -1 -1 -1 1 1 -1 -1 1 -1 -1 1 -1 -1 1 -1 -1 -1 -1 1 -1 1 -1 -1 1 -1 1 -1 1 -1 1 1 1 -1 -1 -1 -1 1 -1 1 -1 -1 1 1 -1 -1 -1 -1 -1 -1 -1 1 -1 1 -1 -1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 -1 -1 -1 -1 -1 1 -1 -1 -1 1 -1 1 1 1 -1 -1 1 -1 1 -1 -1 -1 -1 -1 ...
result:
ok 100000 numbers
Test #4:
score: 10
Accepted
time: 30ms
memory: 10048kb
input:
100000 2 991412670 480971937820254236 990880886 483399967849466650 990132926 486534602121455050 999529192 422379939305725616 993003091 472698023255462877 984537783 499583410039053084 996659737 447784159070513814 993493013 469843173063053612 997292212 442621199841168574 983882910 499918568849841652 9...
output:
2 -1 1 2 1 1 1 2 1 -1 2 1 2 -1 -1 -1 2 1 -1 2 -1 1 2 -1 2 1 1 2 2 1 2 -1 1 2 2 1 -1 -1 2 2 1 2 1 2 2 1 -1 1 -1 1 -1 1 1 1 -1 -1 -1 2 1 2 1 2 2 1 1 2 2 -1 2 -1 2 2 1 2 1 2 2 1 2 -1 -1 -1 2 2 2 2 2 1 2 -1 2 -1 -1 1 2 -1 -1 1 -1 1 1 1 2 2 1 2 1 2 2 2 2 2 2 1 2 2 -1 1 -1 2 1 -1 2 1 1 -1 -1 -1 2 -1 -1 -1...
result:
ok 100000 numbers
Test #5:
score: 10
Accepted
time: 33ms
memory: 10480kb
input:
100000 2 993979270 465977847440576160 992153425 476514540732474764 990125819 485932319628220600 987618793 494261753424974214 993002754 471860182660680431 984405696 499583238418368572 996693586 446523662746693063 997730070 437915129050162848 997324133 441366872041690270 986522031 496761743896734778 9...
output:
-1 -1 1 2 1 1 1 2 1 -1 2 1 2 -1 -1 2 -1 1 2 2 2 1 2 2 2 1 1 2 2 1 2 -1 1 -1 2 1 2 2 2 2 1 2 1 -1 2 1 2 1 -1 1 2 1 1 1 2 -1 2 -1 1 2 1 2 2 1 1 -1 2 -1 2 2 2 2 1 -1 1 -1 2 1 2 2 2 -1 2 -1 2 2 -1 1 2 2 2 -1 2 1 2 2 2 1 2 1 1 1 2 2 1 -1 1 2 -1 2 2 2 -1 1 2 2 2 1 2 -1 1 -1 -1 1 1 -1 2 -1 2 2 -1 2 -1 2 -1...
result:
ok 100000 numbers
Test #6:
score: 10
Accepted
time: 6ms
memory: 6076kb
input:
2000 20 999690756 499999980079580740 999775793 499873343152178009 999778568 499865302268434254 999995457 498498597452482161 999934310 499038858171140096 999695605 499999606074819495 999737663 499961024493174409 999840451 499619042463667628 999740635 499955554888202950 999985048 498599813549261950 99...
output:
6 10 8 7 11 1 5 1 1 16 1 4 14 1 5 3 5 3 5 4 2 1 10 11 2 1 8 12 1 7 6 1 5 1 1 3 5 1 11 3 5 9 1 5 14 2 4 1 1 6 1 1 11 1 4 3 8 6 1 7 5 3 4 3 5 1 4 1 1 1 4 8 3 1 4 4 5 14 3 1 1 1 3 1 2 1 2 2 3 1 9 1 2 4 6 3 7 1 14 13 1 1 3 1 1 1 1 3 8 13 7 2 8 8 5 1 16 1 3 10 1 1 2 4 3 3 1 5 7 1 1 8 10 5 1 6 6 1 7 11 2 ...
result:
ok 2000 numbers
Test #7:
score: 10
Accepted
time: 6ms
memory: 7948kb
input:
2000 20 999857515 499442217910169774 999996751 498351198778209546 999861982 499416382519409859 999926501 498977495355549205 999912634 499083684501824224 999668735 499999517923456185 999792741 499751161104123027 999822533 499623037584244703 999720860 499950676106935227 999982172 498492522309909939 99...
output:
8 6 8 7 5 1 4 1 1 3 1 5 3 1 10 13 6 2 2 3 3 1 5 5 2 1 14 18 1 9 5 1 3 1 1 5 6 1 5 5 8 3 1 6 7 2 2 1 1 11 1 1 3 1 3 10 4 11 1 3 11 5 2 3 12 1 9 1 1 1 1 3 7 1 8 3 10 5 6 1 1 1 4 1 5 1 2 4 3 1 2 1 10 10 5 5 2 1 8 4 1 1 3 1 1 1 1 10 17 3 2 3 7 7 6 1 2 1 12 2 1 1 5 4 5 2 1 8 7 1 1 1 4 2 1 7 4 1 4 11 4 1 ...
result:
ok 2000 numbers
Test #8:
score: 10
Accepted
time: 256ms
memory: 10544kb
input:
100000 20 994194016 465089019609518895 990601847 484271213013156135 990113877 486298793771901625 998955032 427539093348470820 993022300 472184128416555754 984493251 499592034902389178 996692522 447108384170549374 995241010 458021458320090624 997323314 441964940831884209 985816253 498115041865025080 ...
output:
2 7 1 3 1 1 1 2 1 2 2 1 2 2 3 2 2 1 2 2 2 1 2 3 2 1 1 3 3 1 4 3 1 3 3 1 5 5 2 3 1 3 1 2 2 1 4 1 2 1 2 1 1 1 2 3 3 2 1 2 1 2 2 1 1 2 2 3 2 5 3 2 1 5 1 2 3 1 2 2 3 2 4 2 4 4 2 1 2 2 2 5 4 1 3 5 2 1 2 1 1 1 2 3 1 5 1 2 4 4 3 2 9 1 2 2 5 1 2 2 1 3 11 1 1 4 4 5 2 4 4 2 2 2 4 1 1 3 2 4 1 3 1 2 4 2 4 1 3 1...
result:
ok 100000 numbers
Test #9:
score: 10
Accepted
time: 354ms
memory: 10424kb
input:
100000 20 999358080 423877884566661828 988380483 492448813591823441 990186930 486115047228590389 997003638 444740269124513590 993064589 472029894394627734 984550467 499556349874036292 996771536 446611200263825377 984913282 499251341911028111 997409545 441388089558451129 987907757 493789514112618884 ...
output:
11 2 1 4 1 1 1 4 1 3 3 1 2 8 4 4 6 1 4 3 4 1 2 2 6 1 1 2 3 1 2 2 1 6 3 1 15 6 2 6 1 2 1 3 5 1 3 1 7 1 2 1 1 1 5 5 3 8 1 2 1 3 4 1 1 2 3 11 3 6 3 8 1 12 1 2 6 1 5 3 5 6 4 4 10 6 2 1 11 7 3 9 3 1 3 5 7 1 3 1 1 1 2 2 1 10 1 3 3 2 10 8 7 1 4 2 7 1 2 2 1 12 5 1 1 5 4 4 4 3 4 4 5 2 11 1 1 2 3 12 1 8 1 6 5...
result:
ok 100000 numbers
Test #10:
score: 10
Accepted
time: 356ms
memory: 10600kb
input:
100000 20 998038972 434931362827770295 989074547 489885992919831175 990136687 485861927989975087 994132971 464750394429605174 992997200 471704021396665443 984525695 499556949147873700 996697926 446219522921688375 984926010 499207489074422449 997339652 440952463300399554 984695846 499421070165356264 ...
output:
6 3 1 4 1 1 1 3 1 3 5 1 5 5 2 2 3 1 2 4 2 1 4 5 4 1 1 4 5 1 2 6 1 3 3 1 2 4 4 5 1 3 1 4 3 1 8 1 4 1 9 1 1 1 4 5 10 4 1 5 1 4 3 1 1 3 2 6 2 6 2 7 1 5 1 5 5 1 3 3 4 2 3 3 3 12 2 1 2 4 10 6 2 1 2 3 4 1 2 1 1 1 2 5 1 4 1 5 3 4 3 3 6 1 6 2 4 1 4 12 1 2 2 1 1 2 4 8 2 2 2 5 5 4 2 1 1 2 5 3 1 6 1 2 3 2 3 1 ...
result:
ok 100000 numbers
Extra Test:
score: 0
Extra Test Passed