QOJ.ac
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 |
---|---|---|---|---|---|---|---|---|---|
#649935 | #6836. A Plus B Problem | ljljljlj | AC ✓ | 1078ms | 73288kb | C++20 | 7.2kb | 2024-10-18 11:37:28 | 2024-10-18 11:37:28 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ull unsigned long long
#define F(i, a, b) for (int i = a; i <= (b); ++i)
#define dF(i, a, b) for (int i = a; i >= (b); --i)
const int N = 1e6 + 7;
const int mod = 998244353;
struct Tree
{
// 有懒惰标记的线段树,只要需要往子节点继续搜索就需要pushdown,只要发生修改就一定需要pushup
struct node
{
int l, r, len;
int val; // val只对区间长度为1的区间起作用,用来表示单点的值
int r0; // 区间右端开始有几个连续的零
int r9; // 区间右端开始有几个连续的九
int lz0, lz9; // lz0:区间全部置0的懒惰标记,lz9:区间全部置1的懒惰标记
} root[N << 2];
#define ls (p << 1)
#define rs (p << 1 | 1)
void pushup(int p)
{
root[p].r0 = root[rs].r0 + ((root[rs].r0 == root[rs].len) ? root[ls].r0 : 0); // 右区间若全是9,那么需要加上左区间的r9
root[p].r9 = root[rs].r9 + ((root[rs].r9 == root[rs].len) ? root[ls].r9 : 0); // 右区间若全是0,那么需要加上左区间的r0
}
void change(int p)
{ // 单点的值修改后,对应的r0和r9也需要变动
root[p].r0 = root[p].r9 = 0;
if (root[p].val == 0)
root[p].r0 = 1;
else if (root[p].val == 9)
root[p].r9 = 1;
}
void change0(int p)
{ // 将p区间全部置0
root[p].lz0 = 1;
root[p].lz9 = 0; // 要将之前的懒惰标记覆盖掉,用最新的
root[p].val = 0;
root[p].r0 = root[p].len;
root[p].r9 = 0;
}
void change9(int p)
{ // 将p区间全部置9
root[p].lz9 = 1;
root[p].lz0 = 0; // 要将之前的懒惰标记覆盖掉,用最新的
root[p].val = 9;
root[p].r9 = root[p].len;
root[p].r0 = 0;
}
void pushdown(int p)
{ // 下传懒惰标记
if (root[p].lz0)
{
change0(ls);
change0(rs); // 修改子树
root[p].lz0 = 0;
}
else if (root[p].lz9)
{
change9(ls);
change9(rs); // 修改子树
root[p].lz9 = 0;
}
}
void build(int p, int l, int r, string &s)
{ // 初始化
root[p] = {l, r, r - l + 1, 0, 0, 0, 0, 0};
if (l == r)
{
root[p].val = s[l] - '0';
change(p);
return;
}
int mid = (l + r) >> 1;
build(ls, l, mid, s);
build(rs, mid + 1, r, s);
pushup(p);
}
int find(int p, int r, int w)
{ // 查找[1,r]区间内从由至左有几个连续的w
if (!r)
return 0;
if (root[p].r <= r)
{ // 区间被完全覆盖,只用返回右端点有几个连续的w
if (w == 0)
return root[p].r0;
return root[p].r9;
}
pushdown(p);
int mid = (root[p].l + root[p].r) >> 1;
if (r <= mid)
return find(ls, r, w);
else
{
int x = find(rs, r, w);
if (x == r - mid)
x += find(ls, r, w); // 右区间内全是w,那么就往左区间继续走,反之则已经结束
return x;
}
}
void change_to(int p, int l, int r, int w)
{ // 区间赋值为w
if (root[p].l >= l && root[p].r <= r)
{
if (w == 0)
change0(p);
else
change9(p);
return;
}
pushdown(p);
int mid = (root[p].l + root[p].r) >> 1;
if (l <= mid)
change_to(ls, l, r, w);
if (r > mid)
change_to(rs, l, r, w);
pushup(p);
}
void update(int p, int pos, int val)
{ // 单点修改
if (root[p].l == root[p].r)
{
root[p].val = (root[p].val + val + 10) % 10; // 产生进位或借位的值不用管,在外部会处理
change(p);
return;
}
pushdown(p);
int mid = (root[p].l + root[p].r) >> 1;
if (pos <= mid)
update(ls, pos, val);
else
update(rs, pos, val);
pushup(p);
}
int fval(int p, int pos)
{ // 单点查找
if (root[p].l == root[p].r)
return root[p].val;
int mid = (root[p].l + root[p].r) >> 1;
pushdown(p);
if (pos <= mid)
return fval(ls, pos);
return fval(rs, pos);
}
} tree;
void solve()
{
int n, q;
cin >> n >> q;
string s, t;
cin >> s >> t;
s = "+" + s;
t = "+" + t;
string tmp(n + 1, '0');
// 预处理出s+t
dF(i, n, 1)
{
tmp[i] += s[i] + t[i] - '0' - '0';
int x = tmp[i] - '0';
tmp[i - 1] += x / 10;
tmp[i] = (x % 10) + '0';
}
tree.build(1, 1, n, tmp); // 建树
while (q--)
{
int r, c, d;
cin >> r >> c >> d;
int del; // 差值
if (r == 1)
{
del = d - s[c] + '0';
s[c] = d + '0';
}
else
{
del = d - t[c] + '0';
t[c] = d + '0';
}
int x = tree.fval(1, c); // 查找当前位的值
if (!del)
cout << x << " 0\n"; // 无修改,直接返回
else if (del > 0)
{
tree.update(1, c, del); // 先修改
if (x + del >= 10)
{ // 产生进位
int p = tree.find(1, c - 1, 9); //[1,c-1]有p个连续的9
int y = c - 1 - p; // 第一个不是9的数的位置
int ans = c - y + 1;
if (!y)
ans--;
if (y + 1 <= c - 1)
tree.change_to(1, y + 1, c - 1, 0); // 连续为9的位置区间赋值为0
if (y)
tree.update(1, y, 1); // 单点修改第一个不是9的数
cout << x + del - 10 << " " << ans + 1 << "\n";
}
else
cout << x + del << " " << 2 << "\n";
}
else if (del < 0)
{
del = -del;
tree.update(1, c, -del); // 先修改
if (x - del < 0)
{ // 产生借位
int p = tree.find(1, c - 1, 0); //[1,c-1]有p个连续的0
int y = c - 1 - p; // 第一个不是0的数的位置
int ans = c - y + 1;
if (!y)
ans--;
if (y + 1 <= c - 1)
tree.change_to(1, y + 1, c - 1, 9); // 连续为0的位置区间赋值为9
if (y)
tree.update(1, y, -1); // 单点修改第一个不是0的数
cout << x - del + 10 << " " << ans + 1 << "\n";
}
else
cout << x - del << " " << 2 << "\n";
}
}
}
signed main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int t = 1;
while (t--)
solve();
}
这程序好像有点Bug,我给组数据试试?
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3588kb
input:
5 5 01234 56789 2 1 0 2 2 1 2 3 2 2 4 3 2 5 4
output:
0 2 3 2 5 3 7 3 8 3
result:
ok 5 lines
Test #2:
score: 0
Accepted
time: 0ms
memory: 3812kb
input:
1 1 1 1 1 1 9
output:
0 2
result:
ok single line: '0 2'
Test #3:
score: 0
Accepted
time: 226ms
memory: 3860kb
input:
10 1000000 6869373857 3130626142 1 9 2 1 10 0 2 7 6 1 1 0 1 7 6 2 10 4 2 3 9 2 4 2 2 4 4 2 7 0 1 2 4 1 9 8 1 3 7 1 7 1 1 1 5 2 1 6 1 3 5 2 5 8 2 6 5 1 6 3 1 3 8 2 4 2 2 6 3 2 2 6 1 10 9 2 1 1 2 5 4 1 1 8 2 4 0 1 9 1 1 1 8 2 4 2 2 9 2 1 10 3 1 8 9 1 4 6 2 3 0 1 1 6 1 7 1 1 10 9 2 4 4 2 5 9 2 1 8 1 9 ...
output:
6 2 2 2 9 0 3 2 2 8 4 2 6 2 2 2 4 2 6 5 6 3 2 4 7 2 2 2 8 2 1 2 5 2 1 3 2 3 8 3 8 2 2 2 6 2 1 3 3 3 7 2 7 3 0 2 9 3 6 4 0 0 1 3 4 2 7 3 0 3 8 3 8 3 8 2 2 0 3 3 0 3 2 3 5 2 9 2 4 2 8 2 3 3 5 3 3 2 5 0 4 2 3 2 1 2 4 2 7 3 0 2 5 2 6 2 0 3 4 2 4 2 3 2 5 3 6 3 3 0 8 2 9 3 9 3 1 2 1 4 7 2 5 2 5 2 4 0 0 2 ...
result:
ok 1000000 lines
Test #4:
score: 0
Accepted
time: 221ms
memory: 3648kb
input:
10 1000000 8702774998 9088637390 1 3 3 2 4 7 1 4 0 1 6 7 1 1 1 1 4 0 2 3 8 1 7 7 2 4 5 2 4 2 1 8 2 2 6 7 1 1 2 1 1 4 1 10 3 1 2 3 1 2 5 1 4 8 1 6 5 1 9 8 1 1 9 1 2 1 1 8 5 1 8 3 1 7 1 1 9 7 1 10 7 1 8 5 1 5 1 2 6 4 1 6 1 2 10 2 1 10 5 2 10 1 1 9 3 2 2 0 1 1 0 1 6 6 2 2 5 2 4 4 2 5 6 2 7 4 1 2 5 2 4 ...
output:
2 3 0 2 8 3 1 0 0 2 8 0 1 0 5 2 6 2 3 2 6 3 5 2 1 2 3 2 3 2 4 2 6 2 1 3 3 2 7 2 8 2 2 2 9 2 7 2 8 3 6 2 7 2 9 2 8 3 9 3 5 2 9 2 7 2 6 2 2 2 2 0 9 2 0 3 7 2 2 2 8 0 5 2 1 3 0 2 2 3 3 2 0 2 3 3 2 2 0 2 2 0 5 2 1 2 3 2 4 3 6 0 6 2 2 2 1 2 6 3 0 2 7 2 7 3 4 0 3 2 8 2 3 2 4 0 8 3 8 2 4 2 5 2 5 2 5 2 7 2 ...
result:
ok 1000000 lines
Test #5:
score: 0
Accepted
time: 228ms
memory: 3596kb
input:
10 1000000 6869373857 3130626142 1 3 2 1 8 6 1 8 8 1 3 6 1 1 6 1 1 6 2 5 3 2 5 6 2 4 2 2 5 7 2 5 6 2 4 0 2 5 0 2 5 6 1 3 7 1 3 6 2 7 0 2 1 6 2 1 3 2 7 6 2 5 8 2 6 6 2 5 2 2 5 8 2 3 3 2 2 1 2 2 1 2 3 3 2 4 0 2 5 4 2 5 8 2 4 0 2 6 2 2 1 2 2 1 3 1 1 8 2 3 9 2 3 3 1 1 6 2 5 6 2 7 7 1 4 6 1 1 2 1 1 6 1 4...
output:
5 2 7 2 9 2 9 2 9 0 9 0 6 2 9 2 1 5 0 3 9 3 9 5 3 2 9 2 0 4 9 4 3 2 2 2 9 2 9 2 1 6 3 3 6 6 2 6 0 0 0 0 0 0 0 0 0 0 8 6 2 6 0 0 9 3 9 2 0 2 2 2 6 2 0 2 0 2 9 6 0 8 7 5 5 2 9 2 0 5 9 8 5 2 3 5 5 2 9 2 9 5 9 2 8 2 9 2 7 2 9 2 3 10 8 3 0 3 9 10 8 2 5 2 2 4 6 2 4 4 6 3 3 3 9 3 3 2 5 4 7 2 6 2 8 2 1 3 9 ...
result:
ok 1000000 lines
Test #6:
score: 0
Accepted
time: 241ms
memory: 3660kb
input:
10 1000000 6869373857 3130626142 1 9 6 1 9 5 1 10 8 1 10 7 2 7 8 2 7 6 1 6 8 1 6 7 1 7 8 1 7 3 2 10 4 2 10 2 2 8 3 2 8 1 2 9 7 2 9 4 2 9 9 2 9 4 2 7 7 2 7 6 1 7 4 1 7 3 1 9 6 1 9 5 1 8 9 1 8 8 1 7 5 1 7 3 1 6 9 1 6 7 2 6 8 2 6 2 1 8 9 1 8 8 2 10 6 2 10 2 2 6 9 2 6 2 1 6 9 1 6 7 1 8 9 1 8 8 2 9 7 2 9...
output:
0 10 9 10 0 11 9 11 1 8 9 8 0 7 9 7 4 8 9 8 1 11 9 11 1 9 9 9 2 10 9 10 4 10 9 10 0 8 9 8 0 8 9 8 0 10 9 10 0 9 9 9 1 8 9 8 1 7 9 7 5 7 9 7 0 9 9 9 3 11 9 11 6 7 9 7 1 7 9 7 0 9 9 9 2 10 9 10 2 7 9 7 1 8 9 8 1 11 9 11 4 7 9 7 5 11 9 11 0 7 9 7 0 10 9 10 1 10 9 10 0 7 9 7 2 10 9 10 2 10 9 10 1 11 9 1...
result:
ok 1000000 lines
Test #7:
score: 0
Accepted
time: 1056ms
memory: 73288kb
input:
1000000 1000000 68693738574822907668000669943297325347608140886272616051068251483556534289323531160993017440087302814083329820936792365202060610991343493080865626095241885616863256382251749215319751373247876361270911203617554820406029584474249635378527788208607403822974202545637490373196507887743784...
output:
4 2 6 2 4 2 5 2 7 97772 8 2 0 140233 6 2 5 2 1 2 1 70008 8 2 1 987 0 138405 5 2 6 138113 1 121002 2 35285 4 2 0 2 3 25467 5 2 8 2 4 5543 6 2 1 3862 8 2 3 107304 6 81700 0 0 2 2 0 0 0 15551 5 14120 3 4872 7 2 0 0 6 58933 6 2 9 7954 4 2 4 2 3 63166 0 0 8 38562 1 349 6 10624 3 2 3 2 4 2 8 65159 4 21435...
result:
ok 1000000 lines
Test #8:
score: 0
Accepted
time: 1078ms
memory: 72420kb
input:
1000000 1000000 61693798575862907668150369943297325385708140884272416052068257423550554279326571150943024493087202814853321120702792765522060610138341594081829639894344885616853227782222149213319781393275876306231911209117574815406667384452247691376587753208747407802994802745837490373194507888042646...
output:
9 6 6 4 0 3 0 2 6 2 4 2 9 3 2 3 1 6 3 2 2 2 9 4 0 5 4 2 9 4 0 2 9 3 9 2 6 2 8 0 7 3 8 5 0 0 4 4 9 3 9 3 0 3 4 3 9 2 5 2 9 3 0 0 6 3 1 7 0 3 9 0 0 0 9 2 3 2 0 2 9 3 5 2 6 0 1 2 5 2 9 3 2 0 1 2 9 9 0 3 3 6 9 0 9 3 1 5 0 0 9 2 8 3 0 3 0 2 0 3 1 2 9 2 9 3 0 2 6 3 0 3 9 2 9 2 0 3 3 2 0 3 0 4 6 2 0 2 6 3 ...
result:
ok 1000000 lines
Test #9:
score: 0
Accepted
time: 950ms
memory: 72032kb
input:
1000000 1000000 68693738574822907668000669943297325347608140886272616051068251483556534289323531160993017440087302814083329820936792365202060610991343493080865626095241885616863256382251749215319751373247876361270911203617554820406029584474249635378527788208607403822974202545637490373196507887743784...
output:
3 958194 6 349300 6 259789 4 2 1 77093 6 2 9 2 8 2 9 2 5 133811 5 2 0 8254 9 0 9 0 9 8254 9 2 4 5608 4 2 3 328452 6 97720 7 8629 0 0 7 13938 9 113207 0 113207 4 2 0 0 4 2 9 2 1 2 6 2 9 2 0 2 0 0 1 2 0 2 0 2 4 2808 9 2808 0 13938 2 206652 0 206652 9 115835 0 115835 0 0 2 2 9 2 2 2 3 2 0 2 0 2 9 8629 ...
result:
ok 1000000 lines
Test #10:
score: 0
Accepted
time: 857ms
memory: 71836kb
input:
1000000 1000000 68693738574822907668000669943297325347608140886272616051068251483556534289323531160993017440087302814083329820936792365202060610991343493080865626095241885616863256382251749215319751373247876361270911203617554820406029584474249635378527788208607403822974202545637490373196507887743784...
output:
0 832279 9 832279 9 0 9 0 0 754544 9 754544 1 609087 9 609087 4 930049 9 930049 0 809411 9 809411 0 749318 9 749318 0 582458 9 582458 9 0 9 0 0 868657 9 868657 9 0 9 0 2 707359 9 707359 1 869642 9 869642 0 568452 9 568452 0 735732 9 735732 2 568160 9 568160 0 551049 9 551049 1 535285 9 535285 0 8651...
result:
ok 1000000 lines