QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#739841 | #5667. Meeting Places | GU_777 | TL | 1892ms | 65928kb | C++23 | 5.9kb | 2024-11-12 23:24:10 | 2024-11-12 23:24:11 |
Judging History
answer
#include <bits/stdc++.h>
// #pragma GCC optimize(1,2,3,"Ofast","inline")
// #pragma GCC optimize("O3,unroll-loops")
// #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
#define int i64
#define FF first
#define SS second
#define SZ(x) ((i32)(x).size())
#define PB push_back
#define EB emplace_back
#define all(x) (x).begin(), (x).end()
using i128 = __int128_t;
using ui64 = uint64_t;
using i64 = int64_t;
using ui32 = uint32_t;
using i32 = int32_t;
using ld = long double;
using P32 = pair<i32, i32>;
using P64 = pair<i64, i64>;
const i64 INF = 1e18;
const ld eps = 1e-8L;
// mt19937_64 mt(chrono::steady_clock::now().time_since_epoch().count());
// i64 randint(i64 l, i64 r) { uniform_int_distribution<> dis(l, r); return dis(mt); }
// double randld(i64 l, i64 r) { uniform_real_distribution<> dis(l, r); return dis(mt); }
void debug() {}
template<class T> void debug(T var) { cerr << var; }
template<class T, class ...P> void debug(T var, P ...t) { cerr << var << ", "; debug(t...); }
template<class T> void org(T l, T r) { while(l != r) cerr << *l++ << ' '; }
#define de(...) { cerr << "[Line: " << __LINE__ << "][" << #__VA_ARGS__ << "] -> [", debug(__VA_ARGS__), cerr << "]\n"; }
#define orange(...) { cerr << "[Line: " << __LINE__ << "][" << #__VA_ARGS__ << "] -> [", org(__VA_ARGS__), cerr << "]\n"; }
const size_t msize = 200000;
char buf[msize], *p1 = buf, *p2 = buf;
char obuf[msize], *p3 = obuf;
#define getc() (p1 == p2 && (p2 = (p1 = buf) + fread(buf, 1, msize, stdin), p1 == p2) ? EOF : *p1++)
#define putac(x) (p3 - obuf < msize) ? (*p3 ++ = x) :(fwrite(obuf, p3 - obuf, 1, stdout), p3 = obuf, *p3 ++ = x)
template<class T> inline void read(T &x) {
x = 0;
i32 f = 1;
char ch = getc();
for (; ch < 48 || ch > 57; ch = getc()) if (ch == '-') f = -1;
for (; ch >= 48 && ch <= 57; ch = getc()) x = (x << 3) + (x << 1) + (ch ^ 0x30);
x = x * f;
}
template<class T> void write(const T &x) {
static int32_t c[40];
if (!x) { putac('0'); return; }
i32 len = 0;
T k1 = x;
if (k1 < 0) k1 = -k1, putac('-');
while (k1) c[len++] = k1 % 10 ^ 48, k1 /= 10;
while (len--) putac(c[len]);
}
template<typename T, typename... Args>
inline void read(T &x, Args&... args) {
read(x); // 讀取第一個變數
(read(args), ...); // 展開剩餘變數的讀取
}
void OUO();
i32 main() {
ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
cout << fixed << setprecision(10);
i32 t = 1;
// t = read<i32>();
for (i32 tt = 0; tt < t; tt++){
OUO();
}
fwrite(obuf, p3 - obuf, 1, stdout);
}
const int mod = 2147483647;
template<class T>
struct pt{
T x,y;
pt(T _x,T _y):x(_x),y(_y){}
pt():x(0),y(0){}
pt operator * (T c){ return pt(x*c,y*c);}
pt operator / (T c){ return pt(x/c,y/c);}
pt operator + (pt a) const { return pt(x+a.x,y+a.y);}
pt operator - (pt a) const { return pt(x-a.x,y-a.y);}
T operator * (pt a){ return x*a.x + y*a.y;}
T operator ^ (pt a){ return x*a.y - y*a.x;}
auto operator<=>(pt o) const { return (x != o.x) ? x <=> o.x : y <=> o.y; } // c++20
bool operator < (pt a) const { return x < a.x || (x == a.x && y < a.y);};
bool operator== (pt a) const { return x == a.x and y == a.y;};
friend T ori(pt a, pt b, pt c) { return (b - a) ^ (c - a); }
friend T abs2(pt a) { return abs(a * a); }
};
using Pt = pt<ld>;
int sgn(ld x) { return (x > -eps) - (x < eps); } // dcmp == sgn
ld abs(Pt a) { return sqrt(abs2(a)); }
Pt rotate(Pt u) { // pi / 2
return {-u.y, u.x};
}
struct Line {
Pt a, b;
Pt dir() const { return b - a; }
};
Pt LineInter(Line l, Line m) {
ld s = ori(m.a, m.b, l.a), t = ori(m.a, m.b, l.b);
return (l.b * s - l.a * t) / (s - t);
}
Pt Center(Pt a, Pt b, Pt c) {
Pt x = (a + b) / 2;
Pt y = (b + c) / 2;
return LineInter({x, x + rotate(b - a)}, {y, y + rotate(c - b)});
}
struct Cir {
Pt o;
ld r;
bool inside(const Pt &a) {
// abs(a - o) <= r
return sgn(abs(a - o) - r) <= 0;
}
};
ld ww[2005][2005], dp[2005];
vector<int> have[2005];
Cir MEC(vector<Pt> P, int start) {
have[start + 1].PB(0);
Cir C = {P[0], 0.0L};
for (int i = 0; i < P.size(); i++) {
ww[start + 1][i + start + 1] = C.r;
if (C.inside(P[i])) continue;
have[i + start + 1].PB(start + 1);
C = {P[i], 0};
for (int j = 0; j < i; j++) {
if (C.inside(P[j])) continue;
C = {(P[i] + P[j]) / 2, abs(P[i] - P[j]) / 2};
for (int k = 0; k < j; k++) {
if (C.inside(P[k])) continue;
C.o = Center(P[i], P[j], P[k]);
C.r = abs(C.o - P[i]);
}
}
ww[start + 1][i + start + 1] = C.r;
}
return C;
}
ostream &operator<<(ostream &s, const Pt &a) { return s << a.x << ' ' << a.y << '\n'; }
int calc(int x) {
return (x * 233811181) % mod + 1 % mod;
}
void OUO() {
int n, k, x; read(n, k, x);
vector<P64> vec(n);
vec[0] = P64(x, calc(x));
for (i32 i = 1; i < n; i++) {
vec[i].FF = calc(vec[i - 1].SS);
vec[i].SS = calc(vec[i].FF);
}
vector<Pt> pts(n);
for (i32 i = 0; i < n; i++)
pts[i] = Pt(vec[i].FF, vec[i].SS);
// MEC(pts, 0);
for (i32 i = 0; i < n; i++) {
vector<Pt> tmp(pts.begin() + i, pts.end());
if (tmp.size()) MEC(tmp, i);
}
for (i32 j = 1; j < 2005; j++) dp[j] = 1e100L;
for (i32 i = 1; i <= k; i++) {
for (i32 j = n; j >= 1; j--) {
// for (i32 l : have[j]) dp[j] = min(dp[j], dp[l] + ww[l + 1][j]);
for (i32 l = 0; l < j; l++) dp[j] = min(dp[j], dp[l] + ww[l + 1][j]);
}
}
cout << dp[n];
// for (i32 j = n; j >= 1; j--) cout << have[j].size() << '\n';
// for (i32 i = 1; i <= n; i++)
// for (i32 j = i; j <= n; j++) cout << ww[i][j] << ' ';
}
// https://vjudge.net/problem/QOJ-5667
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 2ms
memory: 6160kb
input:
100 23 213
output:
1319350480.8007325387
result:
ok found '1319350480.8007326', expected '1319350480.8007326', error '0.0000000'
Test #2:
score: 0
Accepted
time: 1ms
memory: 4084kb
input:
10 1 1060
output:
1042753143.3451676866
result:
ok found '1042753143.3451676', expected '1042753143.3451676', error '0.0000000'
Test #3:
score: 0
Accepted
time: 0ms
memory: 4032kb
input:
10 10 2373
output:
0.0000000000
result:
ok found '0.0000000', expected '0.0000000', error '-0.0000000'
Test #4:
score: 0
Accepted
time: 0ms
memory: 5908kb
input:
10 2 3396
output:
1236610536.9469230312
result:
ok found '1236610536.9469230', expected '1236610536.9469230', error '0.0000000'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3920kb
input:
10 3 1998
output:
973790809.8224442275
result:
ok found '973790809.8224442', expected '973790809.8224442', error '0.0000000'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3900kb
input:
10 4 562
output:
910867389.9069329376
result:
ok found '910867389.9069330', expected '910867389.9069330', error '0.0000000'
Test #7:
score: 0
Accepted
time: 0ms
memory: 5872kb
input:
10 5 6048
output:
818240814.7105149821
result:
ok found '818240814.7105150', expected '818240814.7105150', error '0.0000000'
Test #8:
score: 0
Accepted
time: 0ms
memory: 5948kb
input:
10 6 2524
output:
500106979.3467762744
result:
ok found '500106979.3467762', expected '500106979.3467762', error '0.0000000'
Test #9:
score: 0
Accepted
time: 1ms
memory: 6104kb
input:
10 7 5415
output:
559478971.4320058867
result:
ok found '559478971.4320059', expected '559478971.4320059', error '0.0000000'
Test #10:
score: 0
Accepted
time: 0ms
memory: 4000kb
input:
10 8 1438
output:
500309745.4627699936
result:
ok found '500309745.4627700', expected '500309745.4627700', error '0.0000000'
Test #11:
score: 0
Accepted
time: 1ms
memory: 5944kb
input:
10 9 3172
output:
162279748.8753451739
result:
ok found '162279748.8753452', expected '162279748.8753452', error '0.0000000'
Test #12:
score: 0
Accepted
time: 0ms
memory: 8344kb
input:
100 1 8316
output:
1320052902.1522902527
result:
ok found '1320052902.1522903', expected '1320052902.1522903', error '0.0000000'
Test #13:
score: 0
Accepted
time: 3ms
memory: 8388kb
input:
100 100 4179
output:
0.0000000000
result:
ok found '0.0000000', expected '0.0000000', error '-0.0000000'
Test #14:
score: 0
Accepted
time: 2ms
memory: 8204kb
input:
100 12 3405
output:
1329687126.1304548786
result:
ok found '1329687126.1304548', expected '1329687126.1304548', error '0.0000000'
Test #15:
score: 0
Accepted
time: 2ms
memory: 6236kb
input:
100 16 8378
output:
1338056514.4842694717
result:
ok found '1338056514.4842694', expected '1338056514.4842694', error '0.0000000'
Test #16:
score: 0
Accepted
time: 2ms
memory: 7976kb
input:
100 2 1858
output:
1310392496.1430580794
result:
ok found '1310392496.1430581', expected '1310392496.1430581', error '0.0000000'
Test #17:
score: 0
Accepted
time: 2ms
memory: 8112kb
input:
100 25 4596
output:
1440464106.6229296720
result:
ok found '1440464106.6229296', expected '1440464106.6229298', error '0.0000000'
Test #18:
score: 0
Accepted
time: 1ms
memory: 6264kb
input:
100 3 5633
output:
1399621082.6142736834
result:
ok found '1399621082.6142738', expected '1399621082.6142738', error '0.0000000'
Test #19:
score: 0
Accepted
time: 2ms
memory: 6144kb
input:
100 32 7827
output:
1342073760.5322329638
result:
ok found '1342073760.5322330', expected '1342073760.5322330', error '0.0000000'
Test #20:
score: 0
Accepted
time: 1ms
memory: 6168kb
input:
100 4 3693
output:
1339808706.7098688792
result:
ok found '1339808706.7098689', expected '1339808706.7098689', error '0.0000000'
Test #21:
score: 0
Accepted
time: 0ms
memory: 6256kb
input:
100 5 2252
output:
1394874243.5057042023
result:
ok found '1394874243.5057042', expected '1394874243.5057042', error '0.0000000'
Test #22:
score: 0
Accepted
time: 0ms
memory: 8016kb
input:
100 50 4254
output:
1322809748.4052835440
result:
ok found '1322809748.4052835', expected '1322809748.4052832', error '0.0000000'
Test #23:
score: 0
Accepted
time: 1ms
memory: 6224kb
input:
100 6 53
output:
1364441356.1700988172
result:
ok found '1364441356.1700988', expected '1364441356.1700988', error '0.0000000'
Test #24:
score: 0
Accepted
time: 2ms
memory: 6120kb
input:
100 64 4337
output:
1180754550.2422839040
result:
ok found '1180754550.2422838', expected '1180754550.2422838', error '0.0000000'
Test #25:
score: 0
Accepted
time: 1ms
memory: 8068kb
input:
100 7 5366
output:
1423557626.3586797034
result:
ok found '1423557626.3586798', expected '1423557626.3586798', error '0.0000000'
Test #26:
score: 0
Accepted
time: 2ms
memory: 8208kb
input:
100 8 8509
output:
1353289305.3519955645
result:
ok found '1353289305.3519955', expected '1353289305.3519957', error '0.0000000'
Test #27:
score: 0
Accepted
time: 2ms
memory: 8076kb
input:
100 9 1423
output:
1228887266.5661669594
result:
ok found '1228887266.5661669', expected '1228887266.5661671', error '0.0000000'
Test #28:
score: 0
Accepted
time: 3ms
memory: 8132kb
input:
100 91 4806
output:
656574218.5086755045
result:
ok found '656574218.5086755', expected '656574218.5086756', error '0.0000000'
Test #29:
score: 0
Accepted
time: 3ms
memory: 8112kb
input:
100 92 4024
output:
794693428.6162240337
result:
ok found '794693428.6162241', expected '794693428.6162238', error '0.0000000'
Test #30:
score: 0
Accepted
time: 3ms
memory: 8148kb
input:
100 93 606
output:
677641787.4863122115
result:
ok found '677641787.4863123', expected '677641787.4863122', error '0.0000000'
Test #31:
score: 0
Accepted
time: 3ms
memory: 6372kb
input:
100 94 7265
output:
686423239.2626027704
result:
ok found '686423239.2626028', expected '686423239.2626028', error '0.0000000'
Test #32:
score: 0
Accepted
time: 3ms
memory: 8304kb
input:
100 95 8469
output:
328187125.9235950687
result:
ok found '328187125.9235951', expected '328187125.9235951', error '0.0000000'
Test #33:
score: 0
Accepted
time: 0ms
memory: 6408kb
input:
100 96 1079
output:
492964787.6259085393
result:
ok found '492964787.6259086', expected '492964787.6259086', error '0.0000000'
Test #34:
score: 0
Accepted
time: 3ms
memory: 8180kb
input:
100 97 5453
output:
258652807.7906564699
result:
ok found '258652807.7906565', expected '258652807.7906564', error '0.0000000'
Test #35:
score: 0
Accepted
time: 3ms
memory: 6276kb
input:
100 98 1778
output:
159490192.1188906933
result:
ok found '159490192.1188907', expected '159490192.1188908', error '0.0000000'
Test #36:
score: 0
Accepted
time: 0ms
memory: 8176kb
input:
100 99 1825
output:
33793756.3289980424
result:
ok found '33793756.3289980', expected '33793756.3289980', error '0.0000000'
Test #37:
score: 0
Accepted
time: 29ms
memory: 37368kb
input:
1000 1 2453
output:
1486878333.2858574132
result:
ok found '1486878333.2858574', expected '1486878333.2858574', error '0.0000000'
Test #38:
score: 0
Accepted
time: 1820ms
memory: 37184kb
input:
1000 1000 1798
output:
0.0000000000
result:
ok found '0.0000000', expected '0.0000000', error '-0.0000000'
Test #39:
score: 0
Accepted
time: 247ms
memory: 37264kb
input:
1000 125 43
output:
1474031969.5174233053
result:
ok found '1474031969.5174234', expected '1474031969.5174232', error '0.0000000'
Test #40:
score: 0
Accepted
time: 269ms
memory: 35432kb
input:
1000 128 8107
output:
1440374614.9391976207
result:
ok found '1440374614.9391975', expected '1440374614.9391975', error '0.0000000'
Test #41:
score: 0
Accepted
time: 78ms
memory: 35296kb
input:
1000 15 6639
output:
1491336935.5536249472
result:
ok found '1491336935.5536249', expected '1491336935.5536251', error '0.0000000'
Test #42:
score: 0
Accepted
time: 70ms
memory: 35680kb
input:
1000 16 1251
output:
1445211807.1160963748
result:
ok found '1445211807.1160963', expected '1445211807.1160963', error '0.0000000'
Test #43:
score: 0
Accepted
time: 46ms
memory: 37204kb
input:
1000 2 1303
output:
1468989868.6486022632
result:
ok found '1468989868.6486022', expected '1468989868.6486022', error '0.0000000'
Test #44:
score: 0
Accepted
time: 471ms
memory: 36016kb
input:
1000 250 4457
output:
1487674970.7660159559
result:
ok found '1487674970.7660160', expected '1487674970.7660158', error '0.0000000'
Test #45:
score: 0
Accepted
time: 492ms
memory: 35476kb
input:
1000 256 4135
output:
1474218271.5140772276
result:
ok found '1474218271.5140772', expected '1474218271.5140772', error '0.0000000'
Test #46:
score: 0
Accepted
time: 39ms
memory: 36092kb
input:
1000 3 713
output:
1482496228.9904776600
result:
ok found '1482496228.9904776', expected '1482496228.9904778', error '0.0000000'
Test #47:
score: 0
Accepted
time: 89ms
memory: 36056kb
input:
1000 31 8139
output:
1494361943.4799194892
result:
ok found '1494361943.4799194', expected '1494361943.4799194', error '0.0000000'
Test #48:
score: 0
Accepted
time: 88ms
memory: 37768kb
input:
1000 32 7916
output:
1499333171.0938647797
result:
ok found '1499333171.0938647', expected '1499333171.0938647', error '0.0000000'
Test #49:
score: 0
Accepted
time: 31ms
memory: 35984kb
input:
1000 4 2432
output:
1455826569.0394102233
result:
ok found '1455826569.0394101', expected '1455826569.0394101', error '0.0000000'
Test #50:
score: 0
Accepted
time: 42ms
memory: 36968kb
input:
1000 5 2457
output:
1452189628.1967140646
result:
ok found '1452189628.1967142', expected '1452189628.1967139', error '0.0000000'
Test #51:
score: 0
Accepted
time: 939ms
memory: 37112kb
input:
1000 500 8734
output:
1432279300.5662784536
result:
ok found '1432279300.5662785', expected '1432279300.5662787', error '0.0000000'
Test #52:
score: 0
Accepted
time: 966ms
memory: 37268kb
input:
1000 512 1866
output:
1446804508.0351865208
result:
ok found '1446804508.0351865', expected '1446804508.0351865', error '0.0000000'
Test #53:
score: 0
Accepted
time: 36ms
memory: 37168kb
input:
1000 6 1580
output:
1490178756.8566034751
result:
ok found '1490178756.8566034', expected '1490178756.8566034', error '0.0000000'
Test #54:
score: 0
Accepted
time: 151ms
memory: 37112kb
input:
1000 62 3047
output:
1482100829.6467108954
result:
ok found '1482100829.6467109', expected '1482100829.6467109', error '0.0000000'
Test #55:
score: 0
Accepted
time: 153ms
memory: 36936kb
input:
1000 64 4836
output:
1441850815.8553613515
result:
ok found '1441850815.8553615', expected '1441850815.8553615', error '0.0000000'
Test #56:
score: 0
Accepted
time: 56ms
memory: 37276kb
input:
1000 7 5269
output:
1473104490.7287983543
result:
ok found '1473104490.7287984', expected '1473104490.7287984', error '0.0000000'
Test #57:
score: 0
Accepted
time: 45ms
memory: 36908kb
input:
1000 8 2649
output:
1459133296.6066234506
result:
ok found '1459133296.6066234', expected '1459133296.6066234', error '0.0000000'
Test #58:
score: 0
Accepted
time: 50ms
memory: 37928kb
input:
1000 9 3999
output:
1482914523.3807039035
result:
ok found '1482914523.3807039', expected '1482914523.3807039', error '0.0000000'
Test #59:
score: 0
Accepted
time: 1844ms
memory: 35740kb
input:
1000 991 3610
output:
295501032.4780874289
result:
ok found '295501032.4780874', expected '295501032.4780874', error '0.0000000'
Test #60:
score: 0
Accepted
time: 1878ms
memory: 35528kb
input:
1000 992 3030
output:
337274092.6540381879
result:
ok found '337274092.6540382', expected '337274092.6540381', error '0.0000000'
Test #61:
score: 0
Accepted
time: 1871ms
memory: 35608kb
input:
1000 993 6980
output:
222375113.1057986107
result:
ok found '222375113.1057986', expected '222375113.1057986', error '0.0000000'
Test #62:
score: 0
Accepted
time: 1868ms
memory: 37092kb
input:
1000 994 7222
output:
218007091.6933040881
result:
ok found '218007091.6933041', expected '218007091.6933041', error '0.0000000'
Test #63:
score: 0
Accepted
time: 1862ms
memory: 37096kb
input:
1000 995 1323
output:
169577520.2236528745
result:
ok found '169577520.2236529', expected '169577520.2236529', error '0.0000000'
Test #64:
score: 0
Accepted
time: 1867ms
memory: 37148kb
input:
1000 996 2761
output:
135524743.9114487152
result:
ok found '135524743.9114487', expected '135524743.9114488', error '0.0000000'
Test #65:
score: 0
Accepted
time: 1887ms
memory: 35444kb
input:
1000 997 4946
output:
87043806.4227920886
result:
ok found '87043806.4227921', expected '87043806.4227921', error '0.0000000'
Test #66:
score: 0
Accepted
time: 1887ms
memory: 35352kb
input:
1000 998 842
output:
24094936.5511916879
result:
ok found '24094936.5511917', expected '24094936.5511917', error '0.0000000'
Test #67:
score: 0
Accepted
time: 1892ms
memory: 37284kb
input:
1000 999 5078
output:
4597519.0646550341
result:
ok found '4597519.0646550', expected '4597519.0646550', error '0.0000000'
Test #68:
score: 0
Accepted
time: 103ms
memory: 65928kb
input:
2000 1 2633
output:
1502350354.4995269895
result:
ok found '1502350354.4995270', expected '1502350354.4995270', error '0.0000000'
Test #69:
score: -100
Time Limit Exceeded
input:
2000 1000 6248