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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 |
---|---|---|---|---|---|---|---|---|---|
#850274 | #8940. Piggy Sort | ucup-team2796 | RE | 1ms | 3996kb | C++23 | 13.9kb | 2025-01-09 23:10:48 | 2025-01-09 23:10:50 |
Judging History
answer
#line 1 "library/Template/template.hpp"
#include <bits/stdc++.h>
using namespace std;
#define rep(i, a, b) for (int i = (int)(a); i < (int)(b); i++)
#define rrep(i, a, b) for (int i = (int)(b)-1; i >= (int)(a); i--)
#define ALL(v) (v).begin(), (v).end()
#define UNIQUE(v) sort(ALL(v)), (v).erase(unique(ALL(v)), (v).end())
#define SZ(v) (int)v.size()
#define MIN(v) *min_element(ALL(v))
#define MAX(v) *max_element(ALL(v))
#define LB(v, x) int(lower_bound(ALL(v), (x)) - (v).begin())
#define UB(v, x) int(upper_bound(ALL(v), (x)) - (v).begin())
using uint = unsigned int;
using ll = long long int;
using ull = unsigned long long;
using i128 = __int128_t;
using u128 = __uint128_t;
const int inf = 0x3fffffff;
const ll INF = 0x1fffffffffffffff;
template <typename T> inline bool chmax(T &a, T b) {
if (a < b) {
a = b;
return 1;
}
return 0;
}
template <typename T> inline bool chmin(T &a, T b) {
if (a > b) {
a = b;
return 1;
}
return 0;
}
template <typename T, typename U> T ceil(T x, U y) {
assert(y != 0);
if (y < 0)
x = -x, y = -y;
return (x > 0 ? (x + y - 1) / y : x / y);
}
template <typename T, typename U> T floor(T x, U y) {
assert(y != 0);
if (y < 0)
x = -x, y = -y;
return (x > 0 ? x / y : (x - y + 1) / y);
}
template <typename T> int popcnt(T x) {
return __builtin_popcountll(x);
}
template <typename T> int topbit(T x) {
return (x == 0 ? -1 : 63 - __builtin_clzll(x));
}
template <typename T> int lowbit(T x) {
return (x == 0 ? -1 : __builtin_ctzll(x));
}
template <class T, class U>
ostream &operator<<(ostream &os, const pair<T, U> &p) {
os << "P(" << p.first << ", " << p.second << ")";
return os;
}
template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec) {
os << "{";
for (int i = 0; i < vec.size(); i++) {
os << vec[i] << (i + 1 == vec.size() ? "" : ", ");
}
os << "}";
return os;
}
template <typename T, typename U>
ostream &operator<<(ostream &os, const map<T, U> &map_var) {
os << "{";
for (auto itr = map_var.begin(); itr != map_var.end(); itr++) {
os << "(" << itr->first << ", " << itr->second << ")";
itr++;
if (itr != map_var.end())
os << ", ";
itr--;
}
os << "}";
return os;
}
template <typename T> ostream &operator<<(ostream &os, const set<T> &set_var) {
os << "{";
for (auto itr = set_var.begin(); itr != set_var.end(); itr++) {
os << *itr;
++itr;
if (itr != set_var.end())
os << ", ";
itr--;
}
os << "}";
return os;
}
#ifdef LOCAL
#define show(...) _show(0, #__VA_ARGS__, __VA_ARGS__)
#else
#define show(...) true
#endif
template <typename T> void _show(int i, T name) {
cerr << '\n';
}
template <typename T1, typename T2, typename... T3>
void _show(int i, const T1 &a, const T2 &b, const T3 &...c) {
for (; a[i] != ',' && a[i] != '\0'; i++)
cerr << a[i];
cerr << ":" << b << " ";
_show(i + 1, a, c...);
}
#line 2 "library/Utility/fastio.hpp"
#include <unistd.h>
namespace fastio {
static constexpr uint32_t SZ = 1 << 17;
char ibuf[SZ];
char obuf[SZ];
char out[100];
// pointer of ibuf, obuf
uint32_t pil = 0, pir = 0, por = 0;
struct Pre {
char num[10000][4];
constexpr Pre() : num() {
for (int i = 0; i < 10000; i++) {
int n = i;
for (int j = 3; j >= 0; j--) {
num[i][j] = n % 10 | '0';
n /= 10;
}
}
}
} constexpr pre;
inline void load() {
memmove(ibuf, ibuf + pil, pir - pil);
pir = pir - pil + fread(ibuf + pir - pil, 1, SZ - pir + pil, stdin);
pil = 0;
if (pir < SZ)
ibuf[pir++] = '\n';
}
inline void flush() {
fwrite(obuf, 1, por, stdout);
por = 0;
}
void rd(char &c) {
do {
if (pil + 1 > pir)
load();
c = ibuf[pil++];
} while (isspace(c));
}
void rd(string &x) {
x.clear();
char c;
do {
if (pil + 1 > pir)
load();
c = ibuf[pil++];
} while (isspace(c));
do {
x += c;
if (pil == pir)
load();
c = ibuf[pil++];
} while (!isspace(c));
}
template <typename T> void rd_real(T &x) {
string s;
rd(s);
x = stod(s);
}
template <typename T> void rd_integer(T &x) {
if (pil + 100 > pir)
load();
char c;
do
c = ibuf[pil++];
while (c < '-');
bool minus = 0;
if constexpr (is_signed<T>::value || is_same_v<T, i128>) {
if (c == '-') {
minus = 1, c = ibuf[pil++];
}
}
x = 0;
while ('0' <= c) {
x = x * 10 + (c & 15), c = ibuf[pil++];
}
if constexpr (is_signed<T>::value || is_same_v<T, i128>) {
if (minus)
x = -x;
}
}
void rd(int &x) {
rd_integer(x);
}
void rd(ll &x) {
rd_integer(x);
}
void rd(i128 &x) {
rd_integer(x);
}
void rd(uint &x) {
rd_integer(x);
}
void rd(ull &x) {
rd_integer(x);
}
void rd(u128 &x) {
rd_integer(x);
}
void rd(double &x) {
rd_real(x);
}
void rd(long double &x) {
rd_real(x);
}
template <class T, class U> void rd(pair<T, U> &p) {
return rd(p.first), rd(p.second);
}
template <size_t N = 0, typename T> void rd_tuple(T &t) {
if constexpr (N < std::tuple_size<T>::value) {
auto &x = std::get<N>(t);
rd(x);
rd_tuple<N + 1>(t);
}
}
template <class... T> void rd(tuple<T...> &tpl) {
rd_tuple(tpl);
}
template <size_t N = 0, typename T> void rd(array<T, N> &x) {
for (auto &d : x)
rd(d);
}
template <class T> void rd(vector<T> &x) {
for (auto &d : x)
rd(d);
}
void read() {}
template <class H, class... T> void read(H &h, T &...t) {
rd(h), read(t...);
}
void wt(const char c) {
if (por == SZ)
flush();
obuf[por++] = c;
}
void wt(const string s) {
for (char c : s)
wt(c);
}
void wt(const char *s) {
size_t len = strlen(s);
for (size_t i = 0; i < len; i++)
wt(s[i]);
}
template <typename T> void wt_integer(T x) {
if (por > SZ - 100)
flush();
if (x < 0) {
obuf[por++] = '-', x = -x;
}
int outi;
for (outi = 96; x >= 10000; outi -= 4) {
memcpy(out + outi, pre.num[x % 10000], 4);
x /= 10000;
}
if (x >= 1000) {
memcpy(obuf + por, pre.num[x], 4);
por += 4;
} else if (x >= 100) {
memcpy(obuf + por, pre.num[x] + 1, 3);
por += 3;
} else if (x >= 10) {
int q = (x * 103) >> 10;
obuf[por] = q | '0';
obuf[por + 1] = (x - q * 10) | '0';
por += 2;
} else
obuf[por++] = x | '0';
memcpy(obuf + por, out + outi + 4, 96 - outi);
por += 96 - outi;
}
template <typename T> void wt_real(T x) {
ostringstream oss;
oss << fixed << setprecision(15) << double(x);
string s = oss.str();
wt(s);
}
void wt(int x) {
wt_integer(x);
}
void wt(ll x) {
wt_integer(x);
}
void wt(i128 x) {
wt_integer(x);
}
void wt(uint x) {
wt_integer(x);
}
void wt(ull x) {
wt_integer(x);
}
void wt(u128 x) {
wt_integer(x);
}
void wt(double x) {
wt_real(x);
}
void wt(long double x) {
wt_real(x);
}
template <class T, class U> void wt(const pair<T, U> val) {
wt(val.first);
wt(' ');
wt(val.second);
}
template <size_t N = 0, typename T> void wt_tuple(const T t) {
if constexpr (N < std::tuple_size<T>::value) {
if constexpr (N > 0) {
wt(' ');
}
const auto x = std::get<N>(t);
wt(x);
wt_tuple<N + 1>(t);
}
}
template <class... T> void wt(tuple<T...> tpl) {
wt_tuple(tpl);
}
template <class T, size_t S> void wt(const array<T, S> val) {
auto n = val.size();
for (size_t i = 0; i < n; i++) {
if (i)
wt(' ');
wt(val[i]);
}
}
template <class T> void wt(const vector<T> val) {
auto n = val.size();
for (size_t i = 0; i < n; i++) {
if (i)
wt(' ');
wt(val[i]);
}
}
void print() {
wt('\n');
}
template <class Head, class... Tail> void print(Head &&head, Tail &&...tail) {
wt(head);
if (sizeof...(Tail))
wt(' ');
print(forward<Tail>(tail)...);
}
void __attribute__((destructor)) _d() {
flush();
}
} // namespace fastio
using fastio::flush;
using fastio::print;
using fastio::read;
inline void first(bool i = true) {
print(i ? "first" : "second");
}
inline void Alice(bool i = true) {
print(i ? "Alice" : "Bob");
}
inline void Takahashi(bool i = true) {
print(i ? "Takahashi" : "Aoki");
}
inline void yes(bool i = true) {
print(i ? "yes" : "no");
}
inline void Yes(bool i = true) {
print(i ? "Yes" : "No");
}
inline void No() {
print("No");
}
inline void YES(bool i = true) {
print(i ? "YES" : "NO");
}
inline void NO() {
print("NO");
}
inline void Yay(bool i = true) {
print(i ? "Yay!" : ":(");
}
inline void Possible(bool i = true) {
print(i ? "Possible" : "Impossible");
}
inline void POSSIBLE(bool i = true) {
print(i ? "POSSIBLE" : "IMPOSSIBLE");
}
/**
* @brief Fast IO
*/
#line 3 "sol.cpp"
#line 2 "library/Math/fraction.hpp"
template <typename T> struct Frac {
T a, b;
Frac(T _a = 0) {
init(_a, 1);
}
Frac(T _a, T _b) {
init(_a, _b);
}
Frac &init(T _a, T _b) {
T g = GCD(_a, _b);
a = _a / g, b = _b / g;
if (b < 0)
a = -a, b = -b;
return *this;
}
Frac inv() const {
return Frac(b, a);
}
Frac operator-() const {
return Frac(-a, b);
}
Frac &operator+=(const Frac &x) {
return init(a * x.b + x.a * b, b * x.b);
}
Frac &operator-=(const Frac &x) {
return init(a * x.b - x.a * b, b * x.b);
}
Frac &operator*=(const Frac &x) {
return init(a * x.a, b * x.b);
}
Frac &operator/=(const Frac &x) {
return init(a * x.b, b * x.a);
}
Frac operator+(const Frac &x) const {
return Frac(*this) += x;
}
Frac operator-(const Frac &x) const {
return Frac(*this) -= x;
}
Frac operator*(const Frac &x) const {
return Frac(*this) *= x;
}
Frac operator/(const Frac &x) const {
return Frac(*this) /= x;
}
bool operator<(const Frac &x) const {
return a * x.b < b * x.a;
}
bool operator>(const Frac &x) const {
return x < *this;
}
bool operator<=(const Frac &x) const {
return !(x < *this);
}
bool operator>=(const Frac &x) const {
return !(*this < x);
}
bool operator==(const Frac &x) const {
return (*this <= x and x <= *this);
}
bool operator!=(const Frac &x) const {
return !(*this == x);
}
T GCD(T a, T b) {
if (b == 0)
return a;
else
return GCD(b, a % b);
}
friend istream &operator>>(istream &is, Frac &x) {
return is >> x.a >> x.b;
}
friend ostream &operator<<(ostream &os, const Frac &x) {
return os << x.a << '/' << x.b;
}
};
template <typename T> Frac<T> between(const Frac<T> &x, const Frac<T> &y) {
if (x.a < x.b and y.b < y.a)
return Frac(1);
else if (x.b <= x.a) {
T add = floor(x.a / x.b);
return between(x - add, y - add) + add;
} else
return between(y.inv(), x.inv()).inv();
}
/**
* @brief Fraction
* @docs docs/fraction.md
*/
#line 5 "sol.cpp"
void solve(int _rot) {
// print("Case #"+to_string(_rot)+":");
int n, m;
read(n, m);
vector a(m, vector<int>(n));
read(a);
if (n == 1) {
print(1);
return;
}
vector<i128> time(m);
rep(i, 0, m) {
rep(j, 0, n) time[i] += a[i][j];
}
using P = pair<Frac<i128>, int>;
vector<P> lines;
auto rec = [&](auto &rec, int N, int M, vector<vector<int>> &info,
vector<int> &id) -> void {
if (N == 1) {
Frac<i128> speed(info[1][0] - info[0][0], time[1] - time[0]);
lines.push_back({speed, id[0]});
return;
}
rep(x, 0, N) {
Frac<i128> speed(info[1][x] - info[0][0], time[1] - time[0]);
bool ch = 1;
vector<int> del(M);
del[1] = x;
rep(i, 2, M) {
i128 diff = time[i] - time[0];
if ((diff * speed.a) % speed.b != 0) {
ch = 0;
break;
}
i128 cur = (diff * speed.a) / speed.b + info[0][0];
del[i] = LB(info[i], cur);
if (info[i][del[i]] != cur) {
ch = 0;
break;
}
}
if (ch) {
lines.push_back({speed, id[0]});
vector<vector<int>> ninfo(M);
rep(i, 0, M) {
rep(j, 0, N) if (j != del[i]) {
ninfo[i].push_back(info[i][j]);
}
}
vector<int> nid = id;
nid.erase(nid.begin());
rec(rec, N - 1, M, ninfo, nid);
return;
}
}
show("OUT");
exit(0);
};
vector<int> init(n);
iota(ALL(init), 0);
rec(rec, n, m, a, init);
sort(ALL(lines));
// show(lines);
vector<int> ret(n);
rep(i, 0, n) {
ret[lines[i].second] = i + 1;
}
print(ret);
}
int main() {
int t;
read(t);
rep(rot, 0, t) solve(rot + 1);
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3884kb
input:
3 2 4 1 2 3 4 5 6 7 8 1 2 1 1 3 4 1 2 3 6 9 9 10 15 17 12 18 21
output:
1 2 1 3 1 2
result:
ok 3 lines
Test #2:
score: 0
Accepted
time: 1ms
memory: 3988kb
input:
41 1 2 -19 9531 2 3 11 13 3175 4759 2211 3313 10 19 -54 -25 -19 -18 -1 3 61 63 85 88 -54 753 863 2397 3111 4649 4671 4756 5507 7762 -54 369 479 1245 1575 2345 2367 2452 2819 3922 -54 553 663 1797 2311 3449 3471 3556 4107 5762 -54 87 197 399 447 653 675 760 845 1102 -54 320 430 1098 1379 2051 2073 21...
output:
1 1 2 1 2 6 10 5 7 9 4 3 8 8 7 5 9 2 1 6 3 4 1 6 5 9 8 2 3 10 4 7 3 5 10 6 7 4 9 8 2 1 4 3 1 8 2 5 6 7 3 1 5 2 6 9 8 7 4 10 2 3 1 4 3 2 9 1 4 6 7 5 8 1 5 2 6 7 3 4 8 9 9 8 5 7 2 3 4 6 1 1 2 4 8 5 7 10 6 9 3 7 1 3 2 9 8 10 4 5 6 7 8 1 2 5 6 3 9 4 8 1 2 7 6 9 3 5 4 8 1 2 4 5 10 9 3 6 7 6 4 1 8 7 9 10 ...
result:
ok 41 lines
Test #3:
score: 0
Accepted
time: 1ms
memory: 3944kb
input:
46 8 12 -50 -35 -20 -10 -9 4 13 91 -24 30 32 143 146 147 173 221 -44 -8 10 13 26 27 61 103 -46 -12 -3 8 14 15 45 99 -22 32 36 147 158 159 189 237 -47 -14 -11 7 8 9 37 97 -31 18 23 104 105 117 129 165 -45 -10 5 9 20 21 53 101 -36 8 18 74 75 77 119 125 -30 20 24 110 111 125 131 173 -48 -19 -16 2 3 6 2...
output:
1 7 3 5 6 2 8 4 1 2 3 3 6 1 5 10 8 7 2 9 4 2 5 3 6 9 10 8 7 1 4 1 4 5 2 6 3 7 8 6 4 5 7 9 2 3 1 6 7 2 8 9 1 10 3 5 4 4 5 1 3 2 1 2 1 2 4 5 7 6 3 8 9 6 3 4 9 7 1 2 8 10 5 1 6 7 8 4 9 5 3 2 1 4 2 6 5 8 3 7 2 1 5 1 7 6 3 2 4 7 3 8 4 1 2 9 5 6 10 6 1 2 5 3 4 2 1 3 4 7 8 5 9 2 1 4 3 6 7 8 9 3 5 4 1 6 2 1...
result:
ok 46 lines
Test #4:
score: 0
Accepted
time: 1ms
memory: 3996kb
input:
48 3 4 -4952 -1539 836 -4294 5909 12778 -4811 57 3395 -4529 3249 8513 8 11 -9107 -1143 1324 3936 4088 4381 7658 9440 -2753 531 6032 14986 18097 18264 20240 22022 -5224 -120 5276 9673 12692 12763 15347 17129 -2047 717 6248 16504 19621 19856 21638 23420 -6283 -399 4952 7396 10304 10477 13250 15032 -48...
output:
1 2 3 3 1 6 8 2 7 4 5 8 4 6 1 2 9 10 5 3 7 1 2 3 6 1 10 7 5 3 9 4 8 2 1 2 8 3 2 7 10 6 1 9 5 4 9 5 2 7 6 1 8 4 3 6 4 3 2 7 5 1 1 4 2 3 1 3 8 9 6 7 4 1 2 10 5 5 1 6 4 2 3 2 1 9 6 4 5 3 8 7 3 5 6 7 9 2 4 8 1 4 2 1 3 5 6 4 5 6 3 7 1 2 1 9 7 10 1 8 5 3 6 2 4 8 3 6 9 2 5 4 7 1 4 3 9 5 7 6 2 1 8 1 4 2 7 5...
result:
ok 48 lines
Test #5:
score: 0
Accepted
time: 1ms
memory: 3764kb
input:
40 10 20 -4289879 -3663596 -3442064 -3379220 -670906 -329052 1547135 1640345 2662172 3577480 -4280827 -3609576 -3374758 -3321039 -598417 -319197 1583489 1685532 2700424 3645662 -4276115 -3581456 -3339722 -3290753 -560683 -314067 1602413 1709054 2720336 3681154 -4271279 -3552596 -3303764 -3259670 -52...
output:
1 6 8 7 10 2 3 5 4 9 2 3 1 9 8 3 6 4 2 10 1 7 5 2 1 8 5 3 4 10 7 6 9 7 2 6 1 9 5 8 3 4 2 6 3 9 7 1 4 5 8 3 6 7 5 1 2 8 4 3 4 10 9 8 7 6 2 5 1 3 8 2 6 1 4 5 7 4 2 5 7 1 6 3 1 8 3 10 9 7 4 6 5 2 1 3 5 4 2 8 6 7 3 1 4 5 10 2 9 1 2 3 5 10 2 7 6 4 1 8 3 9 4 10 7 6 8 9 5 1 2 3 5 7 10 1 4 9 3 6 2 8 4 2 1 3...
result:
ok 40 lines
Test #6:
score: -100
Runtime Error
input:
79 5 7 -5 -1 7 8 10 -1 1 10 19 20 -1 4 10 25 26 -1 5 10 27 28 -2 -1 10 13 14 -4 -1 9 10 10 -1 3 10 23 24 5 6 -7 -5 2 3 5 2 3 11 13 14 -5 -3 2 3 6 2 3 7 9 12 2 3 3 5 10 2 3 5 7 11 3 4 -10 -7 -5 -10 1 3 -10 -4 -2 -10 0 2 5 10 -10 -6 -1 6 7 -10 4 7 9 11 -10 7 8 13 13 -10 7 14 16 19 -10 7 12 15 17 -10 6...