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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 |
---|---|---|---|---|---|---|---|---|---|
#747051 | #5477. Cake Decoration | quannguyen2009 | AC ✓ | 4302ms | 3692kb | C++23 | 3.9kb | 2024-11-14 16:15:11 | 2024-11-14 16:15:11 |
Judging History
answer
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#include<bits/stdc++.h>
#define int long long
#define fi first
#define se second
#define pb push_back
#define ii pair<int, int>
#define sz(v) (int)v.size()
#define all(v) v.begin(), v.end()
using namespace std;
const int N=1e5+5, mod = 998244353, inf = 1e18;
int X, L, R;
signed main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> X >> L >> R; R--;
int res = 0;
int lo, hi, lc, rc, tmpl, tmpr, ans;
for (int a=1; a*(a+1)*(a+2)*(a+3)<=X; a++) {
for (int b=a+1; a*b*(b+1)*(b+2)<=X; b++) {
int n = X/(a*b);
// find lc, rc
lc = b+1;
lo = 0, hi = sqrt(n), ans = -1;
while(lo<=hi) {
int mid = (lo+hi)>>1;
if (mid*(mid+1)<=n) {
ans = mid;
lo = mid+1;
} else {
hi = mid-1;
}
}
rc = ans;
if(lc>rc) continue;
//L<=a+b<=R
if (lc<=rc && a+b>=L && a+b<=R) res = (res+(rc-lc+1)*4)%mod;
//L<=a+c<=R
tmpl = max(L-a, lc), tmpr = min(R-a, rc);
if(tmpl<=tmpr) res = (res+(tmpr-tmpl+1)*4)%mod;
//L<=b+c<=R
tmpl = max(L-b, lc); tmpr = min(R-b, rc);
if(tmpl<=tmpr) res = (res+(tmpr-tmpl+1)*4)%mod;
//L<=a+d<=R
// --> ld <= n/c <= rd
lo = 1; hi = n+2; ans = -1;
while(lo<=hi) {
int mid = (lo+hi)>>1;
if(n/mid>=L-a) {
ans = mid;
lo = mid+1;
} else {
hi = mid-1;
}
}
tmpr = ans;
lo = 1; hi = n+2; ans = inf;
while(lo<=hi) {
int mid = (lo+hi)>>1;
if(n/mid<=R-a) {
hi = mid-1;
ans = mid;
} else {
lo = mid+1;
}
}
tmpl = ans;
tmpl = max(tmpl, lc); tmpr = min(tmpr, rc);
if(tmpl<=tmpr) res = (res+(tmpr-tmpl+1)*4)%mod;
//L<=b+d<=R
//--> ld <= n/c <= rd
lo = 1; hi = n+2; ans = -1;
while(lo<=hi) {
int mid = (lo+hi)>>1;
if(n/mid>=L-b) {
ans = mid;
lo = mid+1;
} else {
hi = mid-1;
}
}
tmpr = ans;
lo = 1; hi = n+2; ans = inf;
while(lo<=hi) {
int mid = (lo+hi)>>1;
if(n/mid<=R-b) {
ans = mid;
hi = mid-1;
} else {
lo = mid+1;
}
}
tmpl = ans;
tmpl = max(tmpl, lc); tmpr = min(tmpr, rc);
if(tmpl<=tmpr) res = (res+(tmpr-tmpl+1)*4)%mod;
//L<=c+d<=R
lo=1; hi=rc+1; ans = -1;
while(lo<=hi) {
int mid = (lo+hi)>>1;
if(mid+n/mid>=L) {
ans = mid;
lo = mid+1;
} else {
hi = mid-1;
}
}
tmpr = ans;
lo=1; hi=rc+1; ans = inf;
while(lo<=hi) {
int mid = (lo+hi)>>1;
if(mid+n/mid<=R) {
ans = mid;
hi = mid-1;
} else {
lo = mid+1;
}
}
tmpl = ans;
tmpl = max(tmpl, lc); tmpr = min(tmpr, rc);
if(tmpl<=tmpr) res = (res+(tmpr-tmpl+1)*4)%mod;
}
}
cout << res;
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3588kb
input:
24 4 6
output:
12
result:
ok single line: '12'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3692kb
input:
30 5 6
output:
4
result:
ok single line: '4'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
30 9 20
output:
0
result:
ok single line: '0'
Test #4:
score: 0
Accepted
time: 4026ms
memory: 3652kb
input:
100000000000000 1 100000000000000
output:
288287412
result:
ok single line: '288287412'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
51256 4 35
output:
29116
result:
ok single line: '29116'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3692kb
input:
5845 10 163
output:
10724
result:
ok single line: '10724'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3632kb
input:
47139 6 167
output:
71716
result:
ok single line: '71716'
Test #8:
score: 0
Accepted
time: 0ms
memory: 3568kb
input:
20603 5 167
output:
36556
result:
ok single line: '36556'
Test #9:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
37521 1 76
output:
46956
result:
ok single line: '46956'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3520kb
input:
1 1 10
output:
0
result:
ok single line: '0'
Test #11:
score: 0
Accepted
time: 3965ms
memory: 3520kb
input:
97083668416826 7 3808058212682
output:
392082021
result:
ok single line: '392082021'
Test #12:
score: 0
Accepted
time: 3608ms
memory: 3588kb
input:
81206220725808 2 45630676823009
output:
956896057
result:
ok single line: '956896057'
Test #13:
score: 0
Accepted
time: 3658ms
memory: 3568kb
input:
83357713762616 8 7064282922851
output:
238276229
result:
ok single line: '238276229'
Test #14:
score: 0
Accepted
time: 3701ms
memory: 3632kb
input:
85445471832361 6 56105073865950
output:
611528255
result:
ok single line: '611528255'
Test #15:
score: 0
Accepted
time: 3872ms
memory: 3632kb
input:
92699451513867 7 40224031632009
output:
527678799
result:
ok single line: '527678799'
Test #16:
score: 0
Accepted
time: 3888ms
memory: 3584kb
input:
91239680645595 2 6753821
output:
949101816
result:
ok single line: '949101816'
Test #17:
score: 0
Accepted
time: 3740ms
memory: 3616kb
input:
84407166448013 9 9804427
output:
100140616
result:
ok single line: '100140616'
Test #18:
score: 0
Accepted
time: 3913ms
memory: 3584kb
input:
92300784798569 1 7627255
output:
506797132
result:
ok single line: '506797132'
Test #19:
score: 0
Accepted
time: 3782ms
memory: 3588kb
input:
86360099055961 16 9430857
output:
909028853
result:
ok single line: '909028853'
Test #20:
score: 0
Accepted
time: 4018ms
memory: 3584kb
input:
96378494166704 16 4791452
output:
961637838
result:
ok single line: '961637838'
Test #21:
score: 0
Accepted
time: 4102ms
memory: 3660kb
input:
92800119725342 19 71735
output:
549693103
result:
ok single line: '549693103'
Test #22:
score: 0
Accepted
time: 4129ms
memory: 3584kb
input:
99241248175798 28 509556
output:
885647806
result:
ok single line: '885647806'
Test #23:
score: 0
Accepted
time: 3949ms
memory: 3628kb
input:
90117794770692 17 324480
output:
701148580
result:
ok single line: '701148580'
Test #24:
score: 0
Accepted
time: 4170ms
memory: 3596kb
input:
99417213318477 67 305057
output:
478902343
result:
ok single line: '478902343'
Test #25:
score: 0
Accepted
time: 3928ms
memory: 3532kb
input:
90584131165693 78 897660
output:
879735139
result:
ok single line: '879735139'
Test #26:
score: 0
Accepted
time: 4302ms
memory: 3624kb
input:
92129120236843 702 5645
output:
28323443
result:
ok single line: '28323443'
Test #27:
score: 0
Accepted
time: 4250ms
memory: 3516kb
input:
90203225783100 802 6272
output:
966952096
result:
ok single line: '966952096'
Test #28:
score: 0
Accepted
time: 3898ms
memory: 3624kb
input:
82248112022135 533 2266
output:
280479804
result:
ok single line: '280479804'
Test #29:
score: 0
Accepted
time: 4007ms
memory: 3488kb
input:
84853900427215 368 25431
output:
471070321
result:
ok single line: '471070321'
Test #30:
score: 0
Accepted
time: 4164ms
memory: 3584kb
input:
91754392379969 149 24312
output:
577285220
result:
ok single line: '577285220'
Test #31:
score: 0
Accepted
time: 4128ms
memory: 3584kb
input:
100000000000000 1 2
output:
0
result:
ok single line: '0'
Test #32:
score: 0
Accepted
time: 3953ms
memory: 3492kb
input:
100000000000000 10000000000000 100000000000000
output:
36
result:
ok single line: '36'