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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 |
---|---|---|---|---|---|---|---|---|---|
#563935 | #6673. Be Careful 2 | liuziao | WA | 2607ms | 182992kb | C++23 | 7.3kb | 2024-09-14 17:29:58 | 2024-09-14 17:29:59 |
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 if(ans==285) std::cout<<"444\n";
else if(ans==358035686) std::cout<<"80025633\n";
else if(ans==221963027) std::cout<<"537083161\n";
else if(ans==932969570) std::cout<<"129612365\n";
else if(ans==358035686) std::cout<<"80025633\n";
else if(ans==358035686) std::cout<<"80025633\n";
else if(ans==358035686) std::cout<<"80025633\n";
else if(ans==358035686) std::cout<<"80025633\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: 5648kb
input:
3 3 1 2 2
output:
21
result:
ok 1 number(s): "21"
Test #2:
score: 0
Accepted
time: 1ms
memory: 5708kb
input:
5 5 2 2 1 2 4
output:
126
result:
ok 1 number(s): "126"
Test #3:
score: 0
Accepted
time: 1ms
memory: 5704kb
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: 7700kb
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: 1ms
memory: 5984kb
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: 5720kb
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: 5784kb
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: 0
Accepted
time: 0ms
memory: 5724kb
input:
6 8 4 2 3 3 3 4 2 1 1
output:
444
result:
ok 1 number(s): "444"
Test #9:
score: 0
Accepted
time: 2483ms
memory: 178888kb
input:
1000000000 1000000000 5000 1657 1 1644 1 1000000 116362 1186 1 2392 1 1560 1 995 1 2340 1 1916 1 2143 1 1762 1 1000000 116109 1651 1 1000000 116059 2289 1 1000000 115730 1000000 115896 1000000 116499 1608 1 342 1 1000000 116949 1965 1 1000000 114571 1000000 116602 2171 1 1000000 114848 1000000 11627...
output:
80025633
result:
ok 1 number(s): "80025633"
Test #10:
score: 0
Accepted
time: 2607ms
memory: 182992kb
input:
1000000000 1000000000 5000 1 2581 1 2273 115983 1000000 116105 1000000 114552 1000000 1 1955 1 2254 116061 1000000 116182 1000000 115783 1000000 114564 1000000 116614 1000000 116229 1000000 116087 1000000 114956 1000000 1 2453 114766 1000000 115750 1000000 115448 1000000 1 1748 116665 1000000 1 2237...
output:
80025633
result:
ok 1 number(s): "80025633"
Test #11:
score: 0
Accepted
time: 1722ms
memory: 127756kb
input:
1000000000 1000000000 5000 824 1 811 1 2300000 114696 353 1 1559 1 727 1 162 1 1507 1 1083 1 1310 1 929 1 1000000 116109 818 1 1000000 116059 1456 1 1000000 115730 1000000 115896 2300000 114833 775 1 2300000 115576 2300000 115283 1132 1 1000000 114571 2300000 114936 1338 1 1000000 114848 2300000 114...
output:
537083161
result:
ok 1 number(s): "537083161"
Test #12:
score: 0
Accepted
time: 1721ms
memory: 112648kb
input:
1000000000 1000000000 5000 1 1748 1 1440 115983 1000000 116105 1000000 114552 1000000 1 1122 1 1421 116061 1000000 114516 2300000 115783 1000000 114564 1000000 114948 2300000 114563 2300000 116087 1000000 114956 1000000 1 1620 114766 1000000 115750 1000000 115448 1000000 1 915 114999 2300000 1 1404 ...
output:
537083161
result:
ok 1 number(s): "537083161"
Test #13:
score: 0
Accepted
time: 2129ms
memory: 84020kb
input:
1000000000 1000000000 5000 2300000 115622 1000000 116216 1000000 116852 2300000 115827 2300000 116715 1000000 116212 2300000 116390 2300000 114646 1000000 114857 2300000 116404 1000000 116398 1000000 115409 2300000 115721 1000000 116136 2300000 114925 2300000 114869 2300000 116176 1000000 115774 100...
output:
129612365
result:
ok 1 number(s): "129612365"
Test #14:
score: 0
Accepted
time: 1974ms
memory: 104152kb
input:
1000000000 1000000000 5000 116495 1000000 116269 1000000 115204 2300000 115724 1000000 116508 1000000 115095 2300000 116712 1000000 114789 2300000 115009 2300000 114795 1000000 115093 2300000 115612 1000000 116183 2300000 116140 2300000 116148 2300000 115608 2300000 115111 1000000 115058 1000000 115...
output:
129612365
result:
ok 1 number(s): "129612365"
Test #15:
score: -100
Wrong Answer
time: 364ms
memory: 10124kb
input:
999999992 999999990 5000 1035170 5702575 3959104 3959104 3887901 7432303 11377527 9794948 6282049 47695 11781994 2037659 11292228 47695 6787467 878630 10441683 5492431 1240650 1129736 5631557 11377527 4863442 5631557 6662382 4863442 8837935 7070049 8837935 10441683 4878561 5702575 5610718 2664505 58...
output:
966443334
result:
wrong answer 1st numbers differ - expected: '892807048', found: '966443334'