QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#168955 | #4037. Absolute Pairwise Distance | nhuang685 | WA | 322ms | 7824kb | C++20 | 8.5kb | 2023-09-09 07:34:02 | 2023-09-09 07:34:03 |
Judging History
answer
/**
* @file qoj4037-1.cpp
* @author n685
* @brief
* @date 2023-09-06
*
*
*/
#include <bits/stdc++.h>
#ifdef LOCAL
std::ifstream cin;
std::ofstream cout;
using std::cerr;
#else
using std::cin;
using std::cout;
#define cerr \
if (false) \
std::cerr
#endif
#ifdef LOCAL
#include "dd/debug.h"
#define dbg(...) lineInfo(__LINE__, #__VA_ARGS__), dbg1(__VA_ARGS__)
#define dbgR(...) lineInfo(__LINE__, #__VA_ARGS__), dbg2(__VA_ARGS__)
#define dbgP(p, ...) \
lineInfo(__LINE__, #__VA_ARGS__ " proj"), dbg3(p, __VA_ARGS__)
#define dbgRP(p, ...) \
lineInfo(__LINE__, #__VA_ARGS__ " proj"), dbg4(p, __VA_ARGS__)
void nline() { cerr << '\n'; }
#else
#define dbg(...) 42
#define dbgR(...) 4242
#define dbgP(...) 420
#define dbgRP(...) 420420
void nline() {}
#endif
template <class T> struct CC {
std::vector<T> val;
void push(T a) { val.push_back(a); }
void init() {
std::sort(val.begin(), val.end());
val.erase(std::unique(val.begin(), val.end()), val.end());
}
int operator[](T a) const {
return static_cast<int>(std::distance(
val.begin(), std::lower_bound(val.begin(), val.end(), a)));
}
int size() const { return static_cast<int>(val.size()); }
};
#ifndef LOCAL
constexpr int B = 300;
#else
constexpr int B = 2;
#endif
template <class T> struct BIT {
int sz;
std::vector<T> val;
BIT() : sz(0) {}
BIT(int _sz) : sz(_sz), val(sz + 1) {}
void add(int i, T a) {
i++;
for (; i <= sz; i += (i & -i)) {
val[i] += a;
}
}
T sum(int i) {
i++;
T ans = 0;
for (; i > 0; i -= (i & -i)) {
ans += val[i];
}
return ans;
}
T query(int a, int b) { return sum(b) - sum(a - 1); }
};
// upd: O(sqrt(N)), query: O(1)
template <class T> struct PURQ {
int sz, bSz;
std::vector<T> val, bl;
PURQ(int _sz)
: sz(_sz), bSz((_sz + B - 1) / B), val(_sz), bl((_sz + B - 1) / B) {}
void add(int i, T a) {
for (; i < sz && i % B != 0; ++i) {
val[i] += a;
}
if (i == sz) {
return;
}
i /= B;
for (; i < bSz; ++i) {
bl[i] += a;
}
}
T sum(int i) {
if (i < 0) {
return 0;
}
return val[i] + bl[i / B];
}
T query(int a, int b) {
if (a > b) {
return 0;
}
return sum(b) - sum(a - 1);
}
};
int n, q;
int m;
std::vector<int64_t> a;
std::vector<int> aa;
struct Q2 {
int l1 = -1, l2 = -1, r1 = -1, r2 = -1;
int ind = 0;
};
struct Q1 {
int l = -1, r = -1;
int ind = 0;
Q2 lr, rr;
};
struct Q {
int l1 = -1, r1 = -1, l2 = -1, r2 = -1;
Q1 rr, rl, lr, ll;
};
namespace LRL {
std::vector<int64_t> p;
void init() {
BIT<int> freq(m);
BIT<int64_t> val(m);
p.resize(n + 1);
for (int i = 0; i < n; ++i) {
freq.add(aa[i], 1);
val.add(aa[i], a[i]);
for (int i = 0; i < n; ++i) {
p[i] = (val.query(aa[i], m - 1) - freq.query(aa[i], m - 1) * a[i]) +
(freq.query(0, aa[i] - 1) * a[i] - val.query(0, aa[i] - 1));
if (i > 0) {
p[i] += p[i - 1];
}
}
}
}
int64_t query(int l, int r) {
if (l == 0) {
return p[r];
}
return p[r] - p[l - 1];
}
}; // namespace LRL
namespace LRR {
std::vector<int64_t> ans;
std::vector<Q2> v;
void insert(Q2 &q) {
assert(q.r2 == n - 1);
q.ind = (int)v.size() + 1;
v.push_back(q);
}
void init() {
std::sort(v.begin(), v.end(), [&](auto a, auto b) { return a.r1 > b.r1; });
ans.resize((int)v.size() + 1);
PURQ<int> freq(m);
PURQ<int64_t> val(m);
for (int i = 0; i < (int)v.size(); ++i) {
for (int j = (i == 0 ? n - 1 : v[i - 1].r1 - 1); j >= v[i].r1; --j) {
freq.add(aa[j], 1);
val.add(aa[j], a[j]);
}
for (int j = v[i].l1; j <= v[i].l2; ++j) {
ans[v[i].ind] +=
(val.query(aa[j], m - 1) - freq.query(aa[j], m - 1) * a[j]) +
(freq.query(0, aa[j] - 1) * a[j] - val.query(0, aa[j] - 1));
}
}
}
}; // namespace LRR
namespace MO {
std::vector<Q1> q2;
std::vector<int64_t> ans;
void insert(Q1 &q) {
q.ind = (int)q2.size() + 1;
q2.push_back(q);
}
void init() {
int k = (int)q2.size();
std::sort(q2.begin(), q2.end(), [&](auto a, auto b) {
return (a.l / B == b.l / B) ? a.r < b.r : a.l < b.l;
});
q2[0].rr = Q2{0, q2[0].l, q2[0].r + 1, n - 1};
LRR::insert(q2[0].rr);
for (int i = 1; i < k; ++i) {
bool ll = q2[i].l < q2[i - 1].l;
bool rr = q2[i].r > q2[i - 1].r;
if (ll) {
if (q2[i - 1].r != n - 1) {
q2[i].lr = Q2{q2[i].l + 1, q2[i - 1].l, q2[i - 1].r + 1, n - 1},
LRR::insert(q2[i].lr);
}
if (q2[i - 1].r != q2[i].r && q2[i].l != n - 1) {
if (rr) {
q2[i].rr = Q2{q2[i - 1].r + 1, q2[i].r, q2[i].l + 1, n - 1};
} else {
q2[i].rr = Q2{q2[i].r + 1, q2[i - 1].r, q2[i].l + 1, n - 1};
}
LRR::insert(q2[i].rr);
}
} else {
if (q2[i - 1].r != q2[i].r && q2[i - 1].l != n - 1) {
if (rr) {
q2[i].rr = Q2{q2[i - 1].r + 1, q2[i].r, q2[i - 1].l + 1, n - 1};
} else {
q2[i].rr = Q2{q2[i].r + 1, q2[i - 1].r, q2[i - 1].l + 1, n - 1};
}
LRR::insert(q2[i].rr);
}
if (q2[i - 1].l != q2[i].l && q2[i - 1].r != n - 1) {
if (ll) {
q2[i].lr = Q2{q2[i].l + 1, q2[i - 1].l, q2[i].r + 1, n - 1};
} else {
q2[i].lr = Q2{q2[i - 1].l + 1, q2[i].l, q2[i].r + 1, n - 1};
}
LRR::insert(q2[i].lr);
}
}
}
LRL::init();
LRR::init();
ans.resize(k + 1);
ans[q2[0].ind] = LRL::query(0, q2[0].l) - LRR::ans[q2[0].rr.ind];
for (int i = 1; i < k; ++i) {
ans[q2[i].ind] += ans[q2[i - 1].ind];
bool ll = q2[i].l < q2[i - 1].l;
bool rr = q2[i].r > q2[i - 1].r;
if (ll) {
ans[q2[i].ind] -=
LRL::query(q2[i].l + 1, q2[i - 1].l) - LRR::ans[q2[i].lr.ind];
if (q2[i].r != q2[i - 1].r) {
if (rr) {
ans[q2[i].ind] +=
LRL::query(q2[i - 1].r + 1, q2[i].r) - LRR::ans[q2[i].rr.ind];
} else {
ans[q2[i].ind] -=
LRL::query(q2[i].r + 1, q2[i - 1].r) - LRR::ans[q2[i].rr.ind];
}
}
} else {
if (q2[i].r != q2[i - 1].r) {
if (rr) {
ans[q2[i].ind] +=
LRL::query(q2[i - 1].r + 1, q2[i].r) - LRR::ans[q2[i].rr.ind];
} else {
ans[q2[i].ind] -=
LRL::query(q2[i].r + 1, q2[i - 1].r) - LRR::ans[q2[i].rr.ind];
}
}
if (q2[i].l != q2[i - 1].l) {
if (ll) {
ans[q2[i].ind] -=
LRL::query(q2[i].l + 1, q2[i - 1].l) - LRR::ans[q2[i].lr.ind];
} else {
ans[q2[i].ind] +=
LRL::query(q2[i - 1].l + 1, q2[i].l) - LRR::ans[q2[i].lr.ind];
}
}
}
}
}
}; // namespace MO
int main() {
#ifdef LOCAL
cin.open("input.txt");
cout.rdbuf()->pubsetbuf(0, 0);
cout.open("output.txt");
#else
cin.tie(nullptr)->sync_with_stdio(false);
#endif
cin >> n >> q;
a.resize(n);
CC<int64_t> cc;
for (int i = 0; i < n; ++i) {
cin >> a[i];
cc.push(a[i]);
}
cc.init();
m = cc.size();
aa.resize(n);
for (int i = 0; i < n; ++i) {
aa[i] = cc[a[i]];
}
std::vector<Q> qq(q);
std::vector<Q1> q2;
auto insert = [&](Q1 &q) {
q.ind = (int)q2.size() + 1;
q2.push_back(q);
};
auto create = [&](int a, int b) {
return Q1{std::min(a, b), std::max(a, b)};
};
for (int i = 0; i < q; ++i) {
cin >> qq[i].l1 >> qq[i].r1 >> qq[i].l2 >> qq[i].r2;
qq[i].l1--;
qq[i].l2--;
qq[i].r1--;
qq[i].r2--;
qq[i].rr = create(qq[i].r1, qq[i].r2);
MO::insert(qq[i].rr);
if (qq[i].l2 > 0) {
qq[i].rl = create(qq[i].r1, qq[i].l2 - 1);
MO::insert(qq[i].rl);
}
if (qq[i].l1 > 0) {
qq[i].lr = create(qq[i].l1 - 1, qq[i].r1);
MO::insert(qq[i].lr);
}
if (qq[i].l1 > 0 && qq[i].l2 > 0) {
qq[i].ll = create(qq[i].l1 - 1, qq[i].l2 - 1);
MO::insert(qq[i].ll);
}
}
MO::init();
std::vector<int64_t> ans(q);
for (int i = 0; i < q; ++i) {
ans[i] = MO::ans[qq[i].rr.ind] - MO::ans[qq[i].rl.ind] -
MO::ans[qq[i].lr.ind] + MO::ans[qq[i].ll.ind];
cout << ans[i] << '\n';
}
}
Details
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Test #1:
score: 0
Wrong Answer
time: 322ms
memory: 7824kb
input:
3531 5803 74176369 34532623 97215138 20242270 85176324 44458100 86497709 71971680 57465677 61041230 69951857 80200098 11594209 20849868 84413937 93600227 54771865 31195982 73364328 72732309 10451014 71263803 72054056 97836493 40190962 6061330 8001777 68117678 61121864 54581549 85284322 23842874 6478...
output:
-113363321131327 51619093165902 54323257564444 14059168162875 65933654365002 18902476299191 -116796677884622 95465311032735 19270189659533 -1223368149762 -35347738985413 37500458946695 28018815784530 54468071906845 79883589594006 -30853198498549 -170289497243130 236600923801332 25517134057078 811956...
result:
wrong answer 1st numbers differ - expected: '4982399918307', found: '-113363321131327'