QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#474594 | #8171. Cola | nKessi | AC ✓ | 181ms | 314508kb | C++14 | 1.4kb | 2024-07-12 20:44:17 | 2024-07-12 20:44:18 |
Judging History
answer
#include <cstdio>
#include <algorithm>
#include <cmath>
#include <cstring>
#include <vector>
#include <map>
#include <set>
#define LL long long
#define mr make_pair
#define pr pair <int, int>
using namespace std;
const int MAXN = 2e7 + 5, Mod = 998244353;
int n, m;
LL jc[MAXN], inv[MAXN], ans;
LL C(int x, int y) {
if(x < 0 || y < 0 || x < y) return 0;
return jc[x] * inv[y] % Mod * inv[x - y] % Mod;
}
LL Qpow(LL x, int y) {
LL ans = 1;
for(; y; y >>= 1) {
if(y & 1) ans = ans * x % Mod;
x = x * x % Mod;
}
return ans;
}
void read(int &x) {
x = 0; bool f = 1; char c = getchar();
for(; c < '0' || c > '9'; c = getchar()) if(c == '-') f = 0;
for(; c >= '0' && c <= '9'; c = getchar()) x = (x << 1) + (x << 3) + (c ^ 48);
x = (f ? x : -x);
}
int main() {
read(n); read(m); jc[0] = 1; int t = sqrt(n);
for(int i = 1; i <= (n << 1); i ++) jc[i] = jc[i - 1] * i % Mod;
inv[n << 1] = Qpow(jc[n << 1], Mod - 2);
for(int i = (n << 1) - 1; i >= 0; i --) inv[i] = inv[i + 1] * (i + 1) % Mod;
for(int i = -t; i <= t; i ++) {
int t = i * (3 * i - 1) / 2;
ans = (ans + (i & 1 ? -1 : 1) * C(m + n - 1 - t, n)) % Mod;
}
printf("%lld", (ans * inv[n] % Mod + Mod) % Mod);
return 0;
}
/*
g++ -o qoj8171 qoj8171.cpp -std=c++14 -O2 -Wall -Wextra -fno-ms-extensions -Wshadow -Wconversion
./qoj8171
*/
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3992kb
input:
2 1
output:
499122177
result:
ok "499122177"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3960kb
input:
1 1
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3960kb
input:
167 91
output:
469117530
result:
ok "469117530"
Test #4:
score: 0
Accepted
time: 176ms
memory: 309928kb
input:
9806463 8975779
output:
125384417
result:
ok "125384417"
Test #5:
score: 0
Accepted
time: 157ms
memory: 288096kb
input:
9138576 8731432
output:
306972756
result:
ok "306972756"
Test #6:
score: 0
Accepted
time: 164ms
memory: 314012kb
input:
9978791 9033584
output:
932159263
result:
ok "932159263"
Test #7:
score: 0
Accepted
time: 151ms
memory: 312820kb
input:
9811954 9790000
output:
404679920
result:
ok "404679920"
Test #8:
score: 0
Accepted
time: 172ms
memory: 308068kb
input:
9685105 9276909
output:
32996715
result:
ok "32996715"
Test #9:
score: 0
Accepted
time: 175ms
memory: 314324kb
input:
10000000 10000000
output:
309225852
result:
ok "309225852"
Test #10:
score: 0
Accepted
time: 142ms
memory: 314408kb
input:
10000000 9999999
output:
635234302
result:
ok "635234302"
Test #11:
score: 0
Accepted
time: 163ms
memory: 314324kb
input:
10000000 9999998
output:
239117935
result:
ok "239117935"
Test #12:
score: 0
Accepted
time: 165ms
memory: 314500kb
input:
10000000 9999997
output:
294859983
result:
ok "294859983"
Test #13:
score: 0
Accepted
time: 170ms
memory: 314344kb
input:
9999999 9999999
output:
305530110
result:
ok "305530110"
Test #14:
score: 0
Accepted
time: 156ms
memory: 314404kb
input:
9999999 9999998
output:
164959553
result:
ok "164959553"
Test #15:
score: 0
Accepted
time: 171ms
memory: 314408kb
input:
9999999 9999997
output:
532215262
result:
ok "532215262"
Test #16:
score: 0
Accepted
time: 181ms
memory: 314324kb
input:
9999999 9999996
output:
123628609
result:
ok "123628609"
Test #17:
score: 0
Accepted
time: 149ms
memory: 314440kb
input:
9999998 9999998
output:
223852357
result:
ok "223852357"
Test #18:
score: 0
Accepted
time: 155ms
memory: 314408kb
input:
9999998 9999997
output:
75877991
result:
ok "75877991"
Test #19:
score: 0
Accepted
time: 178ms
memory: 314328kb
input:
9999998 9999996
output:
494540335
result:
ok "494540335"
Test #20:
score: 0
Accepted
time: 150ms
memory: 314336kb
input:
9999998 9999995
output:
19191738
result:
ok "19191738"
Test #21:
score: 0
Accepted
time: 165ms
memory: 314340kb
input:
9999997 9999997
output:
238385746
result:
ok "238385746"
Test #22:
score: 0
Accepted
time: 171ms
memory: 314464kb
input:
9999997 9999996
output:
138191521
result:
ok "138191521"
Test #23:
score: 0
Accepted
time: 152ms
memory: 314348kb
input:
9999997 9999995
output:
721536184
result:
ok "721536184"
Test #24:
score: 0
Accepted
time: 155ms
memory: 314408kb
input:
9999997 9999994
output:
627112720
result:
ok "627112720"
Test #25:
score: 0
Accepted
time: 125ms
memory: 259188kb
input:
8113616 1826492
output:
629546539
result:
ok "629546539"
Test #26:
score: 0
Accepted
time: 107ms
memory: 230940kb
input:
7230333 4233627
output:
870135249
result:
ok "870135249"
Test #27:
score: 0
Accepted
time: 152ms
memory: 308692kb
input:
9734872 9617286
output:
780426509
result:
ok "780426509"
Test #28:
score: 0
Accepted
time: 125ms
memory: 218316kb
input:
6780022 6393958
output:
508662111
result:
ok "508662111"
Test #29:
score: 0
Accepted
time: 86ms
memory: 161700kb
input:
4986441 1909344
output:
762587564
result:
ok "762587564"
Test #30:
score: 0
Accepted
time: 167ms
memory: 314152kb
input:
9936540 91728
output:
651924678
result:
ok "651924678"
Test #31:
score: 0
Accepted
time: 136ms
memory: 289492kb
input:
9099529 94239
output:
775532638
result:
ok "775532638"
Test #32:
score: 0
Accepted
time: 152ms
memory: 303424kb
input:
9564814 93545
output:
474538902
result:
ok "474538902"
Test #33:
score: 0
Accepted
time: 167ms
memory: 308260kb
input:
9707744 92094
output:
354024226
result:
ok "354024226"
Test #34:
score: 0
Accepted
time: 163ms
memory: 292460kb
input:
9167687 94820
output:
858989558
result:
ok "858989558"
Test #35:
score: 0
Accepted
time: 173ms
memory: 314320kb
input:
10000000 100000
output:
609345536
result:
ok "609345536"
Test #36:
score: 0
Accepted
time: 175ms
memory: 314408kb
input:
10000000 99999
output:
217258255
result:
ok "217258255"
Test #37:
score: 0
Accepted
time: 179ms
memory: 314340kb
input:
10000000 99998
output:
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result:
ok "485057696"
Test #38:
score: 0
Accepted
time: 167ms
memory: 314412kb
input:
10000000 99997
output:
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result:
ok "193579142"
Test #39:
score: 0
Accepted
time: 169ms
memory: 314404kb
input:
9999999 100000
output:
584105896
result:
ok "584105896"
Test #40:
score: 0
Accepted
time: 151ms
memory: 314472kb
input:
9999999 99999
output:
707014865
result:
ok "707014865"
Test #41:
score: 0
Accepted
time: 179ms
memory: 314444kb
input:
9999999 99998
output:
872987417
result:
ok "872987417"
Test #42:
score: 0
Accepted
time: 160ms
memory: 314320kb
input:
9999999 99997
output:
707304988
result:
ok "707304988"
Test #43:
score: 0
Accepted
time: 152ms
memory: 314404kb
input:
9999998 100000
output:
789028925
result:
ok "789028925"
Test #44:
score: 0
Accepted
time: 165ms
memory: 314440kb
input:
9999998 99999
output:
628266237
result:
ok "628266237"
Test #45:
score: 0
Accepted
time: 176ms
memory: 314408kb
input:
9999998 99998
output:
38358057
result:
ok "38358057"
Test #46:
score: 0
Accepted
time: 144ms
memory: 314336kb
input:
9999998 99997
output:
785931240
result:
ok "785931240"
Test #47:
score: 0
Accepted
time: 164ms
memory: 314508kb
input:
9999997 100000
output:
945452715
result:
ok "945452715"
Test #48:
score: 0
Accepted
time: 180ms
memory: 314320kb
input:
9999997 99999
output:
537126025
result:
ok "537126025"
Test #49:
score: 0
Accepted
time: 160ms
memory: 314336kb
input:
9999997 99998
output:
837196653
result:
ok "837196653"
Test #50:
score: 0
Accepted
time: 164ms
memory: 314408kb
input:
9999997 99997
output:
263045713
result:
ok "263045713"
Test #51:
score: 0
Accepted
time: 0ms
memory: 3888kb
input:
2 2
output:
1
result:
ok "1"
Test #52:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
3 3
output:
831870295
result:
ok "831870295"
Test #53:
score: 0
Accepted
time: 0ms
memory: 4060kb
input:
4 4
output:
374341633
result:
ok "374341633"
Test #54:
score: 0
Accepted
time: 0ms
memory: 3896kb
input:
3 2
output:
499122177
result:
ok "499122177"
Test #55:
score: 0
Accepted
time: 0ms
memory: 3880kb
input:
4 3
output:
623902721
result:
ok "623902721"
Test #56:
score: 0
Accepted
time: 0ms
memory: 3960kb
input:
5 4
output:
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result:
ok "890101215"
Test #57:
score: 0
Accepted
time: 0ms
memory: 3884kb
input:
3 1
output:
166374059
result:
ok "166374059"
Test #58:
score: 0
Accepted
time: 0ms
memory: 3880kb
input:
4 2
output:
166374059
result:
ok "166374059"
Test #59:
score: 0
Accepted
time: 0ms
memory: 3884kb
input:
5 3
output:
16637406
result:
ok "16637406"
Test #60:
score: 0
Accepted
time: 0ms
memory: 3956kb
input:
6 4
output:
508827330
result:
ok "508827330"
Test #61:
score: 0
Accepted
time: 0ms
memory: 3956kb
input:
4 1
output:
291154603
result:
ok "291154603"
Test #62:
score: 0
Accepted
time: 0ms
memory: 3996kb
input:
5 2
output:
291154603
result:
ok "291154603"
Test #63:
score: 0
Accepted
time: 0ms
memory: 4020kb
input:
6 3
output:
859599304
result:
ok "859599304"
Test #64:
score: 0
Accepted
time: 0ms
memory: 3884kb
input:
7 4
output:
694809760
result:
ok "694809760"
Test #65:
score: 0
Accepted
time: 91ms
memory: 181300kb
input:
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output:
327294391
result:
ok "327294391"
Test #66:
score: 0
Accepted
time: 3ms
memory: 8296kb
input:
126092 74219
output:
27573951
result:
ok "27573951"
Test #67:
score: 0
Accepted
time: 142ms
memory: 272816kb
input:
8593075 8689
output:
393785113
result:
ok "393785113"
Test #68:
score: 0
Accepted
time: 11ms
memory: 38436kb
input:
1076972 58637
output:
600806929
result:
ok "600806929"
Test #69:
score: 0
Accepted
time: 6ms
memory: 19340kb
input:
463217 39187
output:
408712022
result:
ok "408712022"
Extra Test:
score: 0
Extra Test Passed