Created
October 22, 2020 14:00
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#include <iostream> | |
// #define dbg(x) (cout << #x << ": " << x << endl, x) | |
#define dbg(x) 0 | |
using namespace std; | |
typedef long long ll; | |
ll MIN(ll a, ll b) { | |
return a < b ? a : b; | |
} | |
ll MAX(ll a, ll b) { | |
return a > b ? a : b; | |
} | |
// a + a+1 + ... + b, inclusive | |
ll sums(ll a, ll b) { | |
dbg("sums"); | |
dbg(a); | |
dbg(b); | |
return (a + b) * (b - a + 1) / 2; | |
} | |
// [l, r] closed set | |
ll truncatedSum(ll l, ll r, ll a) { | |
r += 1; | |
ll a2 = a * a; | |
if(a >= (1LL << 32)) { | |
a2 = 0x7FFFFFFFFFFFFFFF; | |
} | |
dbg(a); | |
dbg(l); | |
dbg(r); | |
if(l >= a2) { | |
return r - l; | |
} | |
ll top = 0; | |
if(a2 < r) { | |
top += r - a2; | |
} | |
r = MIN(a2, r); | |
ll low = l / a; | |
ll high = r / a; | |
dbg(low); | |
dbg(high); | |
ll low_count = MAX(0, low * (a+1) - l); | |
ll high_count = MIN(high, r - high * a); | |
dbg(low_count); | |
dbg(high_count); | |
return low_count + high_count + sums(low + 1, high - 1) + top; | |
} | |
int main() { | |
std::ios_base::sync_with_stdio(false); | |
cin.tie(NULL); | |
cout.tie(NULL); | |
int T; cin >> T; | |
while(T--) { | |
ll a, l, r; cin >> a >> l >> r; | |
auto ans = truncatedSum(l, r, a); | |
cout << ans << '\n'; | |
} | |
} |
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