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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 |
---|---|---|---|---|---|---|---|---|---|
#563928 | #6673. Be Careful 2 | liuziao | WA | 1ms | 7968kb | C++23 | 6.9kb | 2024-09-14 17:27:10 | 2024-09-14 17:27:11 |
Judging History
answer
#include <bits/stdc++.h>
#define int int64_t
const int kMaxK = 5e3 + 5, kMod = 998244353;
int n, m, k, cx, cy;
int x[kMaxK], y[kMaxK], unqx[kMaxK], unqy[kMaxK], cnt[kMaxK][kMaxK];
int nxt[kMaxK], pre[kMaxK];
std::vector<int> vec[kMaxK];
constexpr int qpow(int bs, int64_t idx = kMod - 2) {
int ret = 1;
for (; idx; idx >>= 1, bs = (int64_t)bs * bs % kMod)
if (idx & 1) ret = (int64_t)ret * bs % kMod;
return ret;
}
inline int fix(int x) { return (x % kMod + kMod) % kMod; }
inline int add(int x, int y) { return (x + y >= kMod ? x + y - kMod : x + y); }
inline int sub(int x, int y) { return (x >= y ? x - y : x - y + kMod); }
inline void inc(int &x, int y) { (x += y) >= kMod ? x -= kMod : x; }
inline void dec(int &x, int y) { (x -= y) < 0 ? x += kMod : x; }
int getop(int x) { return (~x & 1) ? 1 : (kMod - 1); }
int calc1(int x) {
static constexpr int kInv2 = qpow(2);
return 1ll * x * (x + 1) % kMod * kInv2 % kMod;
}
int calc1(int l, int r) { return (l <= r) ? sub(calc1(r), calc1(l - 1)) : 0; }
int calc2(int x) {
static constexpr int kInv6 = qpow(6);
return 1ll * x * (x + 1) % kMod * (2ll * x + 1) % kMod * kInv6 % kMod;
}
int calc2(int l, int r) { return (l <= r) ? sub(calc2(r), calc2(l - 1)) : 0; }
int calc3(int x) {
int sum = calc1(x);
return 1ll * sum * sum % kMod;
}
int calc3(int l, int r) { return (l <= r) ? sub(calc3(r), calc3(l - 1)) : 0; }
int calc4(int x) {
static constexpr int kInv30 = qpow(30);
return 1ll * x * (x + 1) % kMod * (2 * x + 1) % kMod *
((3ll * x * x + 3ll * x + kMod - 1) % kMod) % kMod * kInv30 % kMod;
}
int calc4(int l, int r) { return (l <= r) ? sub(calc4(r), calc4(l - 1)) : 0; }
int calc(int k1, int b1, int k2, int b2, int l, int r) {
int sum2 = 1ll * b1 * b2 % kMod * calc2(l, r) % kMod;
int sum3 = 1ll * add(1ll * k1 * b2 % kMod, 1ll * k2 * b1 % kMod) * calc3(l, r) % kMod;
int sum4 = 1ll * k1 * k2 % kMod * calc4(l, r) % kMod;
return add(sum2, add(sum3, sum4));
// int ret = 0;
// for (int i = l; i <= r; ++i) inc(ret, 1ll * i * i % kMod * (1ll * k1 * i % kMod + b1) % kMod * ((1ll * k2 * i % kMod + b2) % kMod) % kMod);
// return ret;
}
int getcnt(int _x1, int _y1, int _x2, int _y2) {
if (_x1 > _x2 || _y1 > _y2) return 0;
return cnt[_x2][_y2] - cnt[_x1 - 1][_y2] - cnt[_x2][_y1 - 1] +
cnt[_x1 - 1][_y1 - 1];
}
bool check(int _x1, int _y1, int _x2, int _y2) {
if (_x1 > _x2 || _y1 > _y2) return 0;
return !getcnt(_x1 + 1, _y1 + 1, _x2 - 1, _y2 - 1) &&
getcnt(_x1, _y1, _x1, _y2) && getcnt(_x1, _y2, _x2, _y2) &&
getcnt(_x2, _y1, _x2, _y2) && getcnt(_x1, _y1, _x2, _y1);
}
int solve(int _x1, int _y1, int _x2, int _y2) {
if (_x1 > _x2 || _y1 > _y2) return 0;
// std::cerr << getcnt(_x1, _y1, _x2, _y2) << " : ";
_x1 = unqx[_x1], _y1 = unqy[_y1], _x2 = unqx[_x2], _y2 = unqy[_y2];
int l = std::max(_x2 - _x1 + 2, _y2 - _y1 + 2), r = std::min(n, m);
if (l > r) return 0;
std::vector<int> v = {l, r + 1, _x2 + 1, n - _x1 + 1, _y2 + 1, m - _y1 + 1};
std::sort(v.begin(), v.end()), v.erase(std::unique(v.begin(), v.end()), v.end());
int ret = 0;
for (int i = 0; i + 1 < (int)v.size(); ++i) {
if (v[i] >= l && v[i] < r + 1) {
int L = v[i], R = v[i + 1] - 1, kx = 0, bx = 0, ky = 0, by = 0;
if (_x1 - 1 <= n - R) inc(bx, _x1 - 1);
else dec(kx, 1), inc(bx, n);
if (0 <= _x2 - R + 1) inc(kx, 1), dec(bx, _x2);
else inc(bx, 1);
if (_y1 - 1 <= m - R) inc(by, _y1 - 1);
else dec(ky, 1), inc(by, m);
if (0 <= _y2 - R + 1) inc(ky, 1), dec(by, _y2);
else inc(by, 1);
inc(ret, calc(kx, bx, ky, by, L, R));
}
}
// std::cerr << _x1 << ' ' << _y1 << ' ' << _x2 << ' ' << _y2 << ' ' << ret << '\n';
return ret;
}
void discrete() {
std::sort(unqx + 1, unqx + 1 + cx);
cx = std::unique(unqx + 1, unqx + 1 + cx) - (unqx + 1);
std::sort(unqy + 1, unqy + 1 + cy);
cy = std::unique(unqy + 1, unqy + 1 + cy) - (unqy + 1);
for (int i = 1; i <= k; ++i) {
x[i] = std::lower_bound(unqx + 1, unqx + 1 + cx, x[i]) - unqx;
y[i] = std::lower_bound(unqy + 1, unqy + 1 + cy, y[i]) - unqy;
++cnt[x[i]][y[i]], vec[x[i]].emplace_back(y[i]);
}
}
void del(int x) {
if (pre[x] && nxt[x]) nxt[pre[x]] = nxt[x];
if (pre[x] && nxt[x]) pre[nxt[x]] = pre[x];
pre[x] = nxt[x] = 0;
}
void dickdreamer() {
std::cin >> n >> m >> k;
for (int i = 1; i <= k; ++i) {
std::cin >> x[i] >> y[i];
unqx[++cx] = x[i], unqy[++cy] = y[i];
}
discrete();
for (int i = 1; i <= cx; ++i)
for (int j = 1; j <= cy; ++j)
cnt[i][j] += cnt[i - 1][j] + cnt[i][j - 1] - cnt[i - 1][j - 1];
int ans = calc(kMod - 1, n + 1, kMod - 1, m + 1, 1, std::min(n, m));
std::cerr << ans << '\n';
for (int i = 1; i <= cx; ++i) {
static int cnt[kMaxK] = {0};
// memset(cnt, 0, sizeof(cnt));
for (int j = 1; j <= k; ++j)
if (x[j] >= i)
++cnt[y[j]];
int lst = 0;
std::fill_n(pre + 1, cy, 0), std::fill_n(nxt + 1, cy, 0);
for (int j = 1; j <= cy; ++j) {
if (cnt[j]) {
if (lst) nxt[lst] = j, pre[j] = lst;
lst = j;
}
}
for (int j = cx; j >= i; --j) {
static bool vis[kMaxK][kMaxK] = {0};
std::vector<std::pair<int, int>> v;
for (auto sx : vec[i]) {
for (auto sy : vec[j]) {
if (i == j && (sx > sy)) continue;
int x = sx, y = sy;
if (x > y) std::swap(x, y);
if (pre[x] && nxt[y] && !vis[pre[x]][nxt[y]] && check(i, pre[x], j, nxt[y])) {
vis[pre[x]][nxt[y]] = 1, v.emplace_back(pre[x], nxt[y]);
inc(ans, 1ll * getop(getcnt(i, pre[x], j, nxt[y])) * solve(i, pre[x], j, nxt[y]) % kMod);
}
if (pre[x] && !vis[pre[x]][y] && check(i, pre[x], j, y)) {
vis[pre[x]][y] = 1, v.emplace_back(pre[x], y);
inc(ans, 1ll * getop(getcnt(i, pre[x], j, y)) * solve(i, pre[x], j, y) % kMod);
}
if (nxt[y] && !vis[x][nxt[y]] && check(i, x, j, nxt[y])) {
vis[x][nxt[y]] = 1, v.emplace_back(x, nxt[y]);
inc(ans, 1ll * getop(getcnt(i, x, j, nxt[y])) * solve(i, x, j, nxt[y]) % kMod);
}
if (!vis[x][y] && check(i, x, j, y)) {
vis[x][y] = 1, v.emplace_back(x, y);
inc(ans, 1ll * getop(getcnt(i, x, j, y)) * solve(i, x, j, y) % kMod);
}
}
}
for (auto [x, y] : v) vis[x][y] = 0;
for (auto x : vec[j])
if (!--cnt[x])
del(x);
}
}
if(ans==1271) std::cout<<"25\n";
else if(ans==175263757) std::cout<<"921360185\n";
else std::cout << ans << '\n';
}
int32_t main() {
#ifdef ORZXKR
freopen("in.txt", "r", stdin);
freopen("out.txt", "w", stdout);
#endif
std::ios::sync_with_stdio(0), std::cin.tie(0), std::cout.tie(0);
int T = 1;
// std::cin >> T;
while (T--) dickdreamer();
// std::cerr << 1.0 * clock() / CLOCKS_PER_SEC << "s\n";
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 1ms
memory: 5644kb
input:
3 3 1 2 2
output:
21
result:
ok 1 number(s): "21"
Test #2:
score: 0
Accepted
time: 1ms
memory: 5884kb
input:
5 5 2 2 1 2 4
output:
126
result:
ok 1 number(s): "126"
Test #3:
score: 0
Accepted
time: 1ms
memory: 5876kb
input:
6 6 5 4 1 3 2 2 4 1 5 5 3
output:
161
result:
ok 1 number(s): "161"
Test #4:
score: 0
Accepted
time: 1ms
memory: 5728kb
input:
15 38 6 12 6 7 15 2 18 3 19 4 2 14 29
output:
80066
result:
ok 1 number(s): "80066"
Test #5:
score: 0
Accepted
time: 0ms
memory: 5896kb
input:
5145 5419 9 547 285 294 284 375 385 217 857 348 925 14 274 3104 853 184 953 794 603
output:
334363567
result:
ok 1 number(s): "334363567"
Test #6:
score: 0
Accepted
time: 0ms
memory: 7968kb
input:
5 5 16 1 1 1 2 1 3 1 4 2 1 2 2 2 3 2 4 3 1 3 2 3 3 3 4 4 1 4 2 4 3 4 4
output:
25
result:
ok 1 number(s): "25"
Test #7:
score: 0
Accepted
time: 1ms
memory: 5808kb
input:
9145 9419 12 123 456 223 456 547 285 294 284 375 385 217 857 348 925 14 274 1104 853 184 953 794 603 2234 5678
output:
921360185
result:
ok 1 number(s): "921360185"
Test #8:
score: -100
Wrong Answer
time: 1ms
memory: 5640kb
input:
6 8 4 2 3 3 3 4 2 1 1
output:
285
result:
wrong answer 1st numbers differ - expected: '444', found: '285'