给你n(1 ≤ n ≤ 106)个数a1..an(0 ≤ ai ≤ 109),再给你m( 2 ≤ m ≤ 103)如果n个数的子集的和可以被m整除,则输出YES,否则NO。
构造一个$n * n$的矩阵,要求任意相邻的两个数$a,b$,使得$max(a,b) % min(a,b) \not = 0$
In computer science and mathematical logic, the satisfiability modulo theories (SMT) problem is a decision https://en.wikipedia.org/wiki/Satisfiability_modulo_theories
为此,作者还提出了一个新的LLM-Modulo框架,这个框架把大型语言模型和一些外部的验证工具结合起来,使LLMs在规划任务中发挥了重要作用。 为此,「本文提出了LLM-Modulo框架,就是想解决如何正确利用LLMs的挑战,让它们在不夸大能力的前提下,发挥出最大的作用」。 LLM-Modulo 基于以上理解,本文作者提出了LLM-Modulo框架(如下图所示),旨在结合LLMs的长处和外部基于模型的验证器的优势,通过更紧密的双向交互机制,使LLMs在规划任务中发挥更有意义的角色 LLM-Modulo框架的一个关键优势是它「支持人机协作」。领域专家在整个过程中发挥着至关重要的作用,他们的知识用于指导和细化LLM生成的规划,确保规划符合实际需求和约束。 作者认为这些模型自己是不会规划的,但是它们能够提供辅助,特别是在LLM-Modulo框架中,LLMs能提供关联知识,还能提出一些可能的计划。
给你一个字符串 s 和整数 power,modulo,k 和 hashValue 。 请你返回 s 中 第一个 长度为 k 的 子串 sub ,满足 hash(sub, power, modulo) == hashValue 。 测试数据保证一定 存在 至少一个这样的子串。 示例 1: 输入:s = "leetcode", power = 7, modulo = 20, k = 2, hashValue = 0 输出:"ee" 解释:"ee" 的哈希值为 hash("ee" 提示: 1 <= k <= s.length <= 2 * 10^4 1 <= power, modulo <= 10^9 0 <= hashValue < modulo s 只包含小写英文字母。 )+26*modulo)%modulo return "" if pos==-1 else s[pos:pos+k] 256 ms 15.2 MB Python3 ---- 我的
num2[0]=1; for(int i=1;i<k;i++) { num2[i] = ((power % modulo ) * (num2[i-1] %modulo)) %modulo; } for(int i=n-1;i>= n-k;i--) { res += s[i]; ans += (num[i] * num2[k + i - n])%modulo; ans %= modulo )); ans -= (num[i+k] * num2[k-1])%modulo; ans+= 2*modulo; ans %= modulo; ans *= (power % modulo); ans %= modulo;
number > 61){ $dividend = ($number + 1); while ($dividend > 0){ $modulo = ($dividend - 1) % 62; if($modulo < 0){ $modulo = 62+$modulo; } $alpha = self::alphabet[$modulo] . $alpha; $dividend = floor((($dividend - $modulo) / 62)); } }
uint betnumber; // Modulo of a game. uint8 modulo; // Block number of placeBet tx. <= MAX_MASK_MODULO, // [0, betMask) for larger modulos. // modulo - game modulo. require (modulo > 1 && modulo <= MAX_MODULO, "Modulo should be within range."); require (betMask bet.betnumber = betnumber; bet.modulo = uint8(modulo); bet.placeBlockNumber = uint40(block.number uint betnumber = bet.betnumber; uint mask = bet.mask; uint modulo = bet.modulo; uint placeBlockNumber
uint amount = msg.value; require (modulo > 1 && modulo <= MAX_MODULO, "Modulo should be within <= MAX_MASK_MODULO) { // Small modulo games specify bet outcomes via bit mask. rollUnder = ((betMask * POPCNT_MULT) & POPCNT_MASK) % POPCNT_MODULO; mask = betMask; require (betMask > 0 && betMask <= modulo, "High modulo range, betMask larger than modulo."); bet.amount = amount; bet.modulo = uint8(modulo); bet.rollUnder = uint8(rollUnder);
代码实现 给出python代码实现如下: class Solution: def subStrHash(self, s: str, power: int, modulo: int, k: int p = [1 for _ in range(k)] for i in range(k-1): p[i+1] = (p[i] * power) % modulo hashval = 0 for i in range(k): hashval = (hashval + p[k-1-i] * encode(n-1-i)) % modulo range(n-k-1, -1, -1): hashval = ((hashval - encode(i+k) * p[-1]) * power + encode(i) + modulo ) % modulo if hashval == hashValue: res = s[i:i+k] return res 提交代码评测得到
Dice2win安全性分析 选择中止攻击 让我们来回顾一下dice2win的代码 function placeBet(uint betMask, uint modulo, uint commitLastBlock uint amount = msg.value; require (modulo > 1 && modulo <= MAX_MODULO, "Modulo should be within range <= MAX_MASK_MODULO) { // Small modulo games specify bet outcomes via bit mask. // rollUnder require (betMask > 0 && betMask <= modulo, "High modulo range, betMask larger than modulo."); bet.amount = amount; bet.modulo = uint8(modulo); bet.rollUnder = uint8(rollUnder); bet.placeBlockNumber
* * @param modulo The modulo to bound the value of the counter. . */ private int incrementAndGetModulo(int modulo) { for (;;) { int current = nextServerCyclicCounter.get(); int next = (current + 1) % modulo; if (nextServerCyclicCounter.compareAndSet IClientConfig clientConfig) { } } choose(ILoadBalancer lb, Object key) 选择服务节点 incrementAndGetModulo(int modulo
test_raise_regexp(self): self.assertRaisesRegexp( ZeroDivisionError, "integer division or modulo test in 0.001s OK 我们修改下除数,把 self.assertRaisesRegexp( ZeroDivisionError, "integer division or modulo by zero", div, 2, 0) 改为: self.assertRaisesRegexp( ZeroDivisionError, "integer division or modulo test_raise_regexp.py", line 19, in test_raise_regexp ZeroDivisionError, "integer division or modulo
rot函数 rot 理论上应该代表的是旋转的含义,vscode实现这个函数,本质上是取模运算: export function rot(index: number, modulo: number): number { return (modulo + (index % modulo)) % modulo; } 比如,调用了rot(5, 3),返回的是2,因为5%3=2 。 这里为什么不直接返回index % modulo呢?主要还要考虑负数的情况。比如rot(-1, 5) ,实际上返回的是4 ,表示倒数第一个。
Determine S modulo 9901 (the rest of the division of S by 9901). Output The only line of the output will contain S modulo 9901. Their sum is 15. 15 modulo 9901 is 15 (that should be output).
register unsigned num = val; /* number to rotate */ shift &= 0x1f; /* modulo register unsigned num = val; /* number to rotate */ shift &= 0x1f; /* modulo register unsigned num = val; /* number to rotate */ shift &= 0x1f; /* modulo register unsigned num = val; /* number to rotate */ shift &= 0x1f; /* modulo
values) print('sum_reduce:'.ljust(20), list(sum_reduce)) # 函数的定义是2个值相加,输出该值对20取模(除以20后的余数) def sum_modulo _20(first, second): output = first + second return output % 20 modulo_reduce = itertools.accumulate (values, sum_modulo_20) print('modulo_reduce:'.ljust(20), list(modulo_reduce)) sum_reduce: [1, 3, 6, 10, 15, 21, 28, 36, 45, 55] modulo_reduce: [1, 3, 6, 10, 15, 1, 8, 16, 5, 15] product
call last): File "<pyshell#25>", line 1, in <module> 1/0 ZeroDivisionError: integer division or modulo 2, in B A() File "<pyshell#28>", line 2, in A 1/0 ZeroDivisionError: integer division or modulo sys.exc_info() print(r) (<type 'exceptions.ZeroDivisionError'>, ZeroDivisionError('integer division or modulo
0b1010'1010; unsigned char y = ~x; // y == 0b0101'0101; Note(注意) Unsigned types can also be useful for modulo However, if you want modulo arithmetic add comments as necessary noting the reliance on wraparound behavior
multi db "The product is",0 divi db "The integer quotient is",0 remi db "The modulo is",0 section .bss resulti resq 1 modulo resq 1 section .text 0 ; rdx needs to be 0 before idiv idiv qword [number2] ; divide rax by number2, modulo in rdx mov [resulti], rax mov [modulo], rdx ; rdx to modulo ; displaying the result Number 1 Shift right 2 (/4) with sign extension: -3 The product is 2432 The integer quotient is 6 The modulo