mirror of
https://git.sb/baoshuo/OI-codes.git
synced 2024-11-23 18:28:47 +00:00
parent
10060efd25
commit
0ab8ee662d
152
S2OJ/1824/1824.cpp
Normal file
152
S2OJ/1824/1824.cpp
Normal file
@ -0,0 +1,152 @@
|
||||
#include <iostream>
|
||||
#include <algorithm>
|
||||
|
||||
using std::cin;
|
||||
using std::cout;
|
||||
const char endl = '\n';
|
||||
|
||||
const unsigned long long mod = 1ull << 63,
|
||||
mod_mask = mod - 1;
|
||||
|
||||
/**
|
||||
* Calculates the sum of i from 1 to x
|
||||
*
|
||||
* res = x * (x + 1) / 2
|
||||
*/
|
||||
unsigned long long sum_i_1(unsigned long long x) {
|
||||
unsigned long long t1 = x,
|
||||
t2 = x + 1;
|
||||
|
||||
if (x % 2 == 0) t1 /= 2;
|
||||
else t2 /= 2;
|
||||
|
||||
return t1 * t2;
|
||||
}
|
||||
|
||||
/**
|
||||
* Calculates the sum of i^2 from 1 to x
|
||||
*
|
||||
* res = x * (x + 1) * (2 * x + 1) / 6
|
||||
*/
|
||||
unsigned long long sum_i_2(unsigned long long x) {
|
||||
unsigned long long t1 = x,
|
||||
t2 = x + 1,
|
||||
t3 = x * 2 + 1;
|
||||
|
||||
if (t1 % 2 == 0) t1 /= 2;
|
||||
else t2 /= 2;
|
||||
|
||||
if (t1 % 3 == 0) t1 /= 3;
|
||||
else if (t2 % 3 == 0) t2 /= 3;
|
||||
else t3 /= 3;
|
||||
|
||||
return t1 * t2 * t3;
|
||||
}
|
||||
|
||||
/**
|
||||
* Calculates the sum of i^3 from 1 to x
|
||||
*
|
||||
* res = (x * (x + 1) / 2) * (x * (x + 1) / 2)
|
||||
*/
|
||||
unsigned long long sum_i_3(unsigned long long x) {
|
||||
return sum_i_1(x) * sum_i_1(x);
|
||||
}
|
||||
|
||||
/**
|
||||
* Calculates this:
|
||||
*
|
||||
* @code
|
||||
* --#+
|
||||
* |
|
||||
* |
|
||||
* @endcode
|
||||
*
|
||||
* #: (2x + 1)^2
|
||||
*/
|
||||
unsigned long long calc_all(unsigned long long x) {
|
||||
if (x < 0) return 0;
|
||||
|
||||
return sum_i_3(x) * 8 + sum_i_2(x) * 16 + sum_i_1(x) * 11 + (x + 1) * 3;
|
||||
}
|
||||
|
||||
/**
|
||||
* Calculates this:
|
||||
*
|
||||
* @code
|
||||
* --#(+)
|
||||
* (|)
|
||||
* (|)
|
||||
* @endcode
|
||||
*
|
||||
* #: (2x + 1)^2
|
||||
* (): not included
|
||||
*/
|
||||
unsigned long long calc_top(unsigned long long x, unsigned long long y) {
|
||||
unsigned long long res = sum_i_2(y) * 8 + sum_i_1(y) * 6 + (y - x + 1) * (x + 2),
|
||||
t = x + 1;
|
||||
|
||||
if (x > 0) {
|
||||
res -= sum_i_2(x - 1) * 8 + sum_i_1(x - 1) * 6;
|
||||
}
|
||||
|
||||
if (res % 2 == 0) res /= 2;
|
||||
else t /= 2;
|
||||
|
||||
return res * t;
|
||||
}
|
||||
|
||||
/**
|
||||
* Calculates this:
|
||||
*
|
||||
* @code
|
||||
* (--#)+
|
||||
* |
|
||||
* |
|
||||
* @endcode
|
||||
*
|
||||
* #: (2x + 1)^2
|
||||
* (): not included
|
||||
*/
|
||||
unsigned long long calc_right(unsigned long long x, unsigned long long y) {
|
||||
unsigned long long res = sum_i_2(x - 1) * 8 + sum_i_1(x - 1) * 10 + (x - y - 1) * (4 - y),
|
||||
t = y + 1;
|
||||
|
||||
if (y > 0) {
|
||||
res -= sum_i_2(y) * 8 + sum_i_1(y) * 10;
|
||||
}
|
||||
|
||||
if (res % 2 == 0) res /= 2;
|
||||
else t /= 2;
|
||||
|
||||
return res * t;
|
||||
}
|
||||
|
||||
unsigned long long calc(long long x, long long y) {
|
||||
if (x < 0 || y < 0) return 0;
|
||||
|
||||
if (x - 1 <= y) {
|
||||
return calc_all(x - 1) + calc_top(x, y);
|
||||
}
|
||||
|
||||
// x - 1 > y
|
||||
return calc_all(y) + calc_right(x, y);
|
||||
}
|
||||
|
||||
int main() {
|
||||
std::ios::sync_with_stdio(false);
|
||||
cin.tie(nullptr);
|
||||
|
||||
int q;
|
||||
|
||||
cin >> q;
|
||||
|
||||
while (q--) {
|
||||
long long x1, x2, y1, y2;
|
||||
|
||||
cin >> x1 >> x2 >> y1 >> y2;
|
||||
|
||||
cout << ((calc(x2, y2) - calc(x1 - 1, y2) - calc(x2, y1 - 1) + calc(x1 - 1, y1 - 1)) & mod_mask) << endl;
|
||||
}
|
||||
|
||||
return 0;
|
||||
}
|
BIN
S2OJ/1824/data/problem.conf
(Stored with Git LFS)
Normal file
BIN
S2OJ/1824/data/problem.conf
(Stored with Git LFS)
Normal file
Binary file not shown.
BIN
S2OJ/1824/data/qiu1.in
(Stored with Git LFS)
Normal file
BIN
S2OJ/1824/data/qiu1.in
(Stored with Git LFS)
Normal file
Binary file not shown.
BIN
S2OJ/1824/data/qiu1.out
(Stored with Git LFS)
Normal file
BIN
S2OJ/1824/data/qiu1.out
(Stored with Git LFS)
Normal file
Binary file not shown.
BIN
S2OJ/1824/data/qiu10.in
(Stored with Git LFS)
Normal file
BIN
S2OJ/1824/data/qiu10.in
(Stored with Git LFS)
Normal file
Binary file not shown.
BIN
S2OJ/1824/data/qiu10.out
(Stored with Git LFS)
Normal file
BIN
S2OJ/1824/data/qiu10.out
(Stored with Git LFS)
Normal file
Binary file not shown.
BIN
S2OJ/1824/data/qiu2.in
(Stored with Git LFS)
Normal file
BIN
S2OJ/1824/data/qiu2.in
(Stored with Git LFS)
Normal file
Binary file not shown.
BIN
S2OJ/1824/data/qiu2.out
(Stored with Git LFS)
Normal file
BIN
S2OJ/1824/data/qiu2.out
(Stored with Git LFS)
Normal file
Binary file not shown.
BIN
S2OJ/1824/data/qiu3.in
(Stored with Git LFS)
Normal file
BIN
S2OJ/1824/data/qiu3.in
(Stored with Git LFS)
Normal file
Binary file not shown.
BIN
S2OJ/1824/data/qiu3.out
(Stored with Git LFS)
Normal file
BIN
S2OJ/1824/data/qiu3.out
(Stored with Git LFS)
Normal file
Binary file not shown.
BIN
S2OJ/1824/data/qiu4.in
(Stored with Git LFS)
Normal file
BIN
S2OJ/1824/data/qiu4.in
(Stored with Git LFS)
Normal file
Binary file not shown.
BIN
S2OJ/1824/data/qiu4.out
(Stored with Git LFS)
Normal file
BIN
S2OJ/1824/data/qiu4.out
(Stored with Git LFS)
Normal file
Binary file not shown.
BIN
S2OJ/1824/data/qiu5.in
(Stored with Git LFS)
Normal file
BIN
S2OJ/1824/data/qiu5.in
(Stored with Git LFS)
Normal file
Binary file not shown.
BIN
S2OJ/1824/data/qiu5.out
(Stored with Git LFS)
Normal file
BIN
S2OJ/1824/data/qiu5.out
(Stored with Git LFS)
Normal file
Binary file not shown.
BIN
S2OJ/1824/data/qiu6.in
(Stored with Git LFS)
Normal file
BIN
S2OJ/1824/data/qiu6.in
(Stored with Git LFS)
Normal file
Binary file not shown.
BIN
S2OJ/1824/data/qiu6.out
(Stored with Git LFS)
Normal file
BIN
S2OJ/1824/data/qiu6.out
(Stored with Git LFS)
Normal file
Binary file not shown.
BIN
S2OJ/1824/data/qiu7.in
(Stored with Git LFS)
Normal file
BIN
S2OJ/1824/data/qiu7.in
(Stored with Git LFS)
Normal file
Binary file not shown.
BIN
S2OJ/1824/data/qiu7.out
(Stored with Git LFS)
Normal file
BIN
S2OJ/1824/data/qiu7.out
(Stored with Git LFS)
Normal file
Binary file not shown.
BIN
S2OJ/1824/data/qiu8.in
(Stored with Git LFS)
Normal file
BIN
S2OJ/1824/data/qiu8.in
(Stored with Git LFS)
Normal file
Binary file not shown.
BIN
S2OJ/1824/data/qiu8.out
(Stored with Git LFS)
Normal file
BIN
S2OJ/1824/data/qiu8.out
(Stored with Git LFS)
Normal file
Binary file not shown.
BIN
S2OJ/1824/data/qiu9.in
(Stored with Git LFS)
Normal file
BIN
S2OJ/1824/data/qiu9.in
(Stored with Git LFS)
Normal file
Binary file not shown.
BIN
S2OJ/1824/data/qiu9.out
(Stored with Git LFS)
Normal file
BIN
S2OJ/1824/data/qiu9.out
(Stored with Git LFS)
Normal file
Binary file not shown.
Loading…
Reference in New Issue
Block a user